{"text":"Question: What is the lowest common multiple of 42 and (16\/(-4) - -5) + 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -1 - (5 - 10) - (57 - 41).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b**3 + b**3 + b**3)*(0*b**2 + 5*b**2 - 3*b**2) + (0*b**2 + b**2 + 0*b**2)*(-1 + 1 - b**3) + 4*b - 4*b - b**5 - 8*b**5 + 7 - 7.\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + sqrt(68) + (sqrt(68) - (-5 + sqrt(68)*-1 + sqrt(68))) + sqrt(68) - (2*sqrt(170)*2)\/sqrt(10))**2.\nAnswer: 40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 30 = -3*w, 2*m + 16 = 5*w + 1. Let y(i) = -1429*i - 25. Let d be y(m). What is d rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3.131  (b) -55.6  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q - 7. Let s be f(7). Let g = 0.04 - 3.04. Let x = g + 0. Which is the biggest value?  (a) s  (b) 2  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**3 + 17*s**2 - 8*s + 10. Give z(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2009, 4154, 6247, 8264, 10181, 11974?\nAnswer: 13619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 598b (base 13) to base 3.\nAnswer: 122022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from {g: 1, r: 1, s: 3, v: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-315)\/540*3\/2*4\/2.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20*(-61)\/(-5490))\/((-12)\/(-18)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2495201 is divided by 913?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 - 31. Let i(j) be the third derivative of -1\/8*j**4 + y + 1\/40*j**6 - 2*j**2 + 0*j + 0*j**5 + 0*j**3. What is the second derivative of i(x) wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18338936*z**3 + 3*z**2 - 6399*z wrt z?\nAnswer: 110033616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 21 + -4?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 4 - 2 + 0 + 0 + (2 + 1 - 1)*(0 + 1 - 3) - 2 + 5 - 4 + 7 - 32 - 13 - 2)*(412 - 412 - 50*i).\nAnswer: 2400*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/((sqrt(72) - (sqrt(72) - sqrt(72)*-1))\/sqrt(12)) - (sqrt(48)*2 + (sqrt(147) - (-2 + sqrt(147)))).\nAnswer: -9*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 69929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 4*w = 8, g - 3*g + 2*w = 4. Let j = -2002 - -2019. Suppose -22*u + j*u = g. Do u and -1\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 - 13. Is w(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5313468.\nAnswer: 2, 3, 442789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 7*y - 24. Let j(g) = -9*g + 25. Determine 5*j(u) + 6*q(u).\nAnswer: -3*u - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -163.99826 + 164. What is j rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 5*m + 4*m - 675 = 0, 2*f - 657 = -5*m. What is the lowest common multiple of f and 24?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-206)\/42 + 18\/(-189)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6149 is divided by 87.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 105589\/4 + -26397. Let j = 0 - 0.2. Let l = j + 0.2. Which is the closest to l?  (a) -4  (b) -3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644743506 to the power of 1\/2, to the nearest integer?\nAnswer: 25392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) -2\/5  (b) -3\/2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + m + 18 = 0, 5*f - 5*m - 19 = -2*m. What is the least common multiple of f and 16\/6*8\/(16\/3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 15) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 702117?\nAnswer: 3, 13, 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of y**5\/20 - y**4\/12 + 2*y**3\/3 + 17*y. Let w be j(0). Factor -1\/2*c - 1\/2*c**5 + 0*c**2 + w + 0*c**4 + c**3.\nAnswer: -c*(c - 1)**2*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmkummmm. Give prob of sequence mum.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 353407, 706812, 1060217, 1413622, 1767027, 2120432?\n\"Answer: 353405*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4264785451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -768301210*w**3 - 3*w**2 + 137932*w - 226 wrt w?\nAnswer: -4609807260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2\/36775 + -331777\/14746775. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 15880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3417?\nAnswer: 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27807 is divided by 36.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/19 in -0.1, -0.3, 4\/7, 4\/57, -1\/5, 0.6?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -3859369.3 to the nearest 1000.\nAnswer: -3859000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 - -1. Let f = -0.7 - -1.2. Which is the smallest value?  (a) i  (b) -3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(4\/9))**(-28)*(o**(3\/5)*o)**(-19) assuming o is positive.\nAnswer: o**(-1928\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 628 - 613. Solve -k*d - 7 = 23 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, n: 2, q: 2, u: 1}. Give prob of picking 1 n, 1 u, and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 193753471 to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**3\/7 - 57840*r**2\/7 + 636361*r\/7.\nAnswer: -r*(r - 11)*(r + 57851)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.034557  (b) -1  (c) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2176 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 2*c + 4*g - 14, -3*g = -c + 28. What is the greatest common factor of c and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 8.563495 decades?\nAnswer: 0.08563495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 3, 2, -0.1 in decreasing order.\nAnswer: 3, 2, -0.1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that p**4 + 267*p**3 - 269*p**2 - 267*p + 268 = 0.\nAnswer: -268, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 420, -2, -3 in descending order.\nAnswer: 420, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.66 - -4.66. Which is the closest to t?  (a) 11  (b) -0.03  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*v = -2*v - 372. Suppose 129 - 33 = -v*l. Is l not equal to -33\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -77, -75, -71, -65, -57, -47?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*k**3 + 2*k**3 - 1 + 1.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (r - r + 2*r)*(22 + 2 - 6) as i*r + p and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -5  (c) 17423  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 169ef (base 16) to base 4\nAnswer: 112213233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of -c**3\/3 - 8*c**2 + 345*c - 6037. Determine n(-28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 94800358 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 4*b**2 - 410672*b + 10540718224 = 0.\nAnswer: 51334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 27 - 15. Suppose 3*q - v = -q. Suppose -1 - 2 = q*h. Sort 0, 1, h in descending order.\nAnswer: 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/448695 and 149\/48?\nAnswer: 7179120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + -20 - 29 - 20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the third derivative of 11*h**7\/210 + 11*h**5\/60 + 8*h**2. Find the third derivative of j(y) wrt y.\nAnswer: 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, f: 1, j: 3, p: 2}. What is prob of sequence fpp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -12*j**3 + 13872*j**2 + 13881*j + 3471 = 0?\nAnswer: -1\/2, 1157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3, -187, -683, -1647, -3235, -5603, -8907?\n\"Answer: -26*u**3 - 2*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*t**4 - 105*t**3 - 163*t.\nAnswer: 24*t**2 - 630*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*u = 58*u + 75956 - 79496 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2630.87597 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of y**4 + 3602*y**2 + 302*y + 8 wrt y?\nAnswer: 12*y**2 + 7204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(18\/(-124)) - 3. Let c = -40 + d. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 s when four letters picked without replacement from {s: 7, v: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18221\/1548 + -135\/172. Let m = 1955\/3 - 661. Let y = r - m. Find the common denominator of y and -29\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6693 = 3*k + 2*d, 3*k - 4*d = 6224 + 451. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 416658233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 162472?\nAnswer: 2, 23, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - -7) + (5 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 14 + -10 + 0 + -20. Let k = 21 - t. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qpqzpzkqzfzkkk. Give prob of sequence pf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 5*y, 0 = -4*h - 3*y + 2*y. Suppose h*n - 2*n + 8 = 0. Suppose -3*m = -n*l + l - 168, 2*l + 271 = 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 10:13 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - -26. Let i = -824.53 - -860.1. Let k = s - i. What is k rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 65*h**3 + 5*h**2 - 18*h + 11. Let i(r) = 33*r**3 + 2*r**2 - 9*r + 6. Let b(t) = 4*a(t) - 7*i(t). Does 24 divide b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 59556706 divided by 1294711\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b + 2*x - 644 + 662, 5*b - 3*x + 142 = 0 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 197\/2386 or 0?\nAnswer: 197\/2386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + 1 + 0\/(-12). Suppose -f*r + 87 = 15. Calculate the highest common factor of 12 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*d - 0, 3*p = 2*d + 146. Calculate the lowest common multiple of p and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*n**4\/9 + 10962*n**3 - 18796*n**2\/3 + 8056*n\/9 = 0. Calculate n.\nAnswer: -2014, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -19*l + 602. Let j be n(31). Let h(q) = -3*q**2 + 40*q - 14. What is h(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 67*z**2 + 2*z - 8. Suppose 8*u - 1 = 10*u + 5*f, 5*u - 15 = 5*f. Is c(u) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 + 4. Let z be g(0). Let l be 6 - (-4 + z)\/3. Suppose -2*w + 80 = l. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 421354 is divided by 139?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/60 in -0.3, -13, 1, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/(((-35)\/315)\/((224\/63)\/(-8)*1)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 25, 2\/9, -0.04, -31, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 4 = -0. Let w(a) = -a + 7. Let x be w(8). Let p be (x*d)\/(1\/(-4)). Calculate the greatest common divisor of p and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + -0.2. Suppose 5*n = -3 - 2, 0 = i + 4*n - 3. Suppose -i*o = -6*o. Which is the closest to 2\/7?  (a) o  (b) w  (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.33 or -21.03?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 2*b - 9 - 2, 3*m - 5 = 5*b. Suppose j = m*j. Suppose 0 = -5*i - 3*c + 6*c + 57, j = -4*c + 4. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 15 + -6?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 570 and 4321360.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -39. Suppose 0 = -10*z + 4*z + l. Solve -q = -z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c91d8 (base 15) in base 11?\nAnswer: 3a6626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of -7*k**3\/3 + 2*k + 8. Let z(m) = -1 + 1 + 4*m - 5*m. What is z(j(i))?\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2449*y - 2549*y + 3500 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + sqrt(343) + -5 - sqrt(343)) + ((sqrt(343) + 1)*-5 - (sqrt(343) - (-2 + sqrt(343) + -1))).\nAnswer: -35*sqrt(7) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1961 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 72\/(-48))\/(7\/((-3500)\/15)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d1 + -29?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7716, 15685, 23654, 31623, 39592, 47561?\nAnswer: 55530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 78\/53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (32\/(-80))\/((-1)\/(-5)). Let q = u + 2. Let n(f) = f**2 + f - 7. Determine n(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -8, -0.08, -87\/5?\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/7, 7.9, 4\/3?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/(3*2\/12) + 7. Let w(z) be the third derivative of 7*z**5\/60 + z**4\/8 - z**3\/6 + z**2. Let t(m) = -8*m**2 - 4*m + 1. Give v*t(i) + 6*w(i).\nAnswer: 2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n**5 - 304*n**4 + 1202*n**3 - 596*n**2 - 1203*n + 900 = 0. Calculate n.\nAnswer: -1, 1, 3, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**3 - 4*g**3 + 4*g**2 + 3*g**3 - 1 - 9*g**3 as o*g**2 + n + w*g**3 + h*g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 - (-9 - -3))*(-2)\/(-4). What is the nearest to -0.4 in -2\/7, -1, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77*z - 55*z - 1 + 137*z - 2.\nAnswer: 5*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47 + 57. Suppose 8*s - g*s = -24. What is the second derivative of -498*p**4 + 34*p + 514*p**4 - s*p wrt p?\nAnswer: 192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 4*b - 4. Let f be v(5). Let j = f + -8. What is the derivative of 2*d - 2*d - 8 - 1 - j*d**2 wrt d?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of p**5\/20 - 7*p**4\/12 + 23*p**3\/6 - 16*p**2. Let u be h(9). Suppose 7*o - u = 3*o. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 275 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(32)\/sqrt(4) + sqrt(2) + sqrt(6)\/sqrt(3)*5 + -5)**2.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 11\/19, 30, 15\/11, 0.5?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-102)\/(-15) - 2\/(-10). Let k(x) = -19*x - 5. Let l(d) = d. Let m(c) = -k(c) - l(c). Is m(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 711 + -313. Suppose -2838 = -4*t - f. Round t to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 402878 is divided by 16750.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 960 and 160.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 83*c + 7. Let l = -679 - -674. Let f(w) = 83*w + 7. Let b(i) = l*f(i) + 6*y(i). Differentiate b(d) wrt d.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 6*q - 6. Let i be s(2). Let m(r) be the first derivative of -13*r**2 + r**2 - r**2 + i*r + 48. What is the derivative of m(f) wrt f?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 10, f: 10}. What is prob of picking 1 q and 3 f?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of 0 + 1\/120*p**6 - 25*p**2 + 0*p**3 + 1\/210*p**7 + 0*p**4 - 13\/15*p**5 - 3*p. Find the third derivative of y(i) wrt i.\nAnswer: 24*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*z - 4 = -85*z. Let u(r) = 239*r**2 - 5*r - 3. Is u(z) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 976 and 20377111?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2822040 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/1*28*(-1)\/16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.03 - -0.14. Is w at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**3 - 13*x**2 - 10*x + 27. Let z be c(7). Suppose 0 = 5*y - 4*l + 7, -5*y - 2*l = -5 - z. Which is smaller: y or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1728 + 1767. Calculate the smallest common multiple of t and 417.\nAnswer: 5421","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -814 - -1704. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*m + 18301 = -1257*m + 2521 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - 112 - -199 - 31.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-4))\/((-3)\/132). Let p = -17 + c. Suppose 2*g + 39 = p*r - 11, -2*r - g + 11 = 0. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o + 51. Calculate the least common multiple of z(-6) and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1555)\/1244 - 517\/22*(-1)\/22\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 84 = -4*r. Suppose 4*n - 38 + 14 = 0. Suppose n*y - 256 = 146. Calculate the remainder when y is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**4 + 4*f**4 - f**4)*(2 + 2 - 3) - 2*f**2 + 0*f**4 + 17*f**3 - 23*f**3 - 6*f**4.\nAnswer: -5*f**4 - 6*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-22 + 2 + 0)*-11. Let u = y + -150. Let r be 69\/5 + (-2)\/(-10). What is the greatest common divisor of r and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 4*v - 6 = 0, 0 = i + 2*v - 21. Suppose 13*y + 256 = i*y. What is the greatest common factor of 160 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -h**3*j*m - 54*h**3*j + 2*h**2*j*m + 3*h**2*j + 39*h**2*m wrt h?\nAnswer: -6*j*m - 324*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 2*a - 8. Let m = -159 + 167. What is the greatest common divisor of a and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*h + 0*h - 5*h - 59*h**2 + 5*h + 2*h to k + a*h**2 + x*h and give a.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 561698936?\nAnswer: 2, 89, 788903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-8)\/d)**(-45) assuming d is positive.\nAnswer: d**405","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-4467\nAnswer: 893.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-87)\/(-27) - (-8)\/(-36). Solve -p + 1 = -s*w, 23 = 2*w + w + 5*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**5 + 27802*p**4 - 100775936*p**3 + 28608614336*p**2 - 224038784512*p + 444859853312 = 0. Calculate p.\nAnswer: 4, 301, 6796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -157, 400 in increasing order.\nAnswer: -157, -0.3, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5389490 and 1880.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 5*f**3 - 22*f**2 + 14*f - 9. Let c(g) = -g**3 + 4*g**2 + 1. Let b(y) = 3*c(y) + z(y). Determine q so that b(q) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 18639.7 and -0.2.\nAnswer: -3727.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 - 7*a**2 + 10*a + 18. Let q be b(-8). Solve 0 = -5*i + y + 19, 5*i - q*y + 7*y = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 69279982 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 910563744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 78, 0.04.\nAnswer: -1, 0.04, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 14 = 3*p, 0*g + 5*p - 25 = 2*g. Let v(a) = -6489*a - 45421. Let k be v(-7). Put 44, 3, k, g in decreasing order.\nAnswer: 44, 3, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k*p**3 + 3*k*p**2 + 720*k*p - 26238*p**3 + 2 wrt p.\nAnswer: -6*k - 157428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117\/(-3)*(5 + 6 - 32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15.1582 - 12.857. Let h = o - 2.3. Round h to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h - 6. Suppose j - 10 = -2*l, 13*j + 9 = 10*j + 7*l. Calculate k(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*m + 24*m = 4*x + 27, -4*m = 5*x + 31 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + 9*p**2 - 2*p. Let v(j) = -j**3 + 8*j**2 - 3*j + 1. Let g(w) = -3*k(w) + 4*v(w). Calculate g(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -3*n - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 81*i - 9. Let z(o) be the first derivative of o**2 + 4313. Determine j(z(b)).\nAnswer: 4*b**2 - 162*b - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -11811704200 to the nearest one million.\nAnswer: -11812000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 360792 and 1125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2*i - 12, -4*c + 24 = 5*i - 12. Let w be (6\/(-9))\/2*(i + -7). Let u be 39840*w*125*2\/3. What is u rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) 7  (c) -3\/2  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -2*f, -p + 6*f = f. Suppose p = w - 2*w + 31. Suppose 3*j = -7 + w. What is the remainder when 13 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*t - 15 - 6. Let g(n) = 3*n + 0*n - 2 + 1. Let x be g(1). Which is the third biggest value?  (a) x  (b) 2\/7  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 3*j = z + 13, z - 7 = 2*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2170437*t**2 - 2223003 with respect to t.\nAnswer: -4340874*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, z: 7, w: 1, b: 2, q: 2, o: 2}. Give prob of picking 1 q and 1 g.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from wydor?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*v - 10 = 0. Suppose -v*o = -0*o. What are the prime factors of (3 + o)*(-94)\/(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/13 + 174*p**2\/13 + 1140*p\/13 + 1600\/13.\nAnswer: 2*(p + 2)*(p + 5)*(p + 80)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/84186 and -187\/6781650.\nAnswer: 61034850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 14928, 14930, 14932, 14934, 14936, 14938?\n\"Answer: 2*h + 14926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, f: 5, a: 2, y: 8, o: 1}. What is prob of picking 1 u, 1 f, and 1 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.1 + 348.\nAnswer: 346.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6797 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**2 - 7*r + 5. Let k be z(-7). Let o be (-2)\/(-3)*13932\/24. Let h(j) = -383 - 5*j**3 - 2*j + o + 2*j**2 + 3*j**2 + 4*j**3. What is h(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**3 + 3*o**2 - 20*o + 23. Determine h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2 + 54*s + 128. What is z(-24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1658 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - (5 - -3 - -5)) + 45 + -8?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/2 - 4*i - 7\/2.\nAnswer: -(i + 1)*(i + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**0)**46)**(-43)\/((w**(-1))**(20\/9)*w**(1\/5)\/((w\/(w**(-2\/15)*w))\/w)) assuming w is positive.\nAnswer: w**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2015*u**2 + 765*u**2 - 29*u**2 + 86*u**2 + 2010*u**2 to the form w + p*u + x*u**2 and give x.\nAnswer: 4847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -354 * 0.176\nAnswer: -62.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -146 - -151. Find the second derivative of -2*a - 6*a + 7*a + 34*a**2 - 1 - u*a wrt a.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5299 + (5\/(5\/3))\/(-19 - -22).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 129110 or 127063?\nAnswer: 127063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 672 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(3*(-4)\/(-48)). Suppose -3*w + 7 = y, -2*w - f*y + 2*y - 2 = 0. Solve -w = 4*d - 4*a, 5*d = 3*d - 5*a - 23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 9, -4021071 in increasing order.\nAnswer: -4021071, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + 141?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 - -92. Let x = s + -27. Solve y = -4*y + 3*r + x, -y - 1 = 4*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 425650, 851294, 1276926, 1702540, 2128130?\nAnswer: 2553690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b + b**2 + 5*b + 3*b**2 + b wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6031710747*c + c**3 + 6031710747*c - 283.\nAnswer: c**3 - 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 14*l + 48. Let d be n(5). Solve d*q + 2*k = 5*q + 8, -4*q - 4*k - 16 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10.21 * -170.4\nAnswer: -1739.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -12\/5, -3\/4, -33\/10, -1\/5 in decreasing order.\nAnswer: -1\/5, -3\/4, -12\/5, -33\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1154, 1441, 1732, 2027, 2326?\n\"Answer: 2*x**2 + 281*x + 871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -0.6. Let p = 0.4 + l. Let x = 0.1 - p. What is the closest to 0 in 0.2, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 5*x - 25 = 0, -5*x + 6 + 5 = 4*k. Suppose -6*d + 2*d + k = 0. Let c = 24 - d. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1381756699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49 + -31. Let x = d - 10. Solve v = -4*k - 2 + 5, 4*k = x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of -1\/60*b**5 + 7\/6*b**3 + 0*b - 23*b**2 + 0 - 5\/24*b**4. Suppose -a - 5 + 3 = 0, 4*a + 2 = t. Determine z(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 385323\/(-8858)*((-3 - 0)*2\/3)\/3\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 265075 + -265075.0799988. Let t = i + 0.08. What is t rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1677098733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = 7*j + 38, j + 2*a - 45 = 71 - 130 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, -2, -261 in ascending order.\nAnswer: -261, -23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vbf when three letters picked without replacement from veeevvfeeb?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*9\/(-3)*(-3)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -324, -1282, -2240?\nAnswer: -3198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -36, -100, -220, -414, -700, -1096, -1620?\nAnswer: -2290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 720*u**2 - 40*u**2 + 104*u**2.\nAnswer: 784*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6327*l + 12379 + 44674 + 12544 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/180 and 67\/6660?\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 491519232 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*3*(sqrt(128) + 5 + sqrt(128)*-2 + sqrt(128) + (sqrt(128)*2*-1 - sqrt(128)) - 1*-3*(-3 + sqrt(128)))**2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 divided by 117061?\nAnswer: 26\/117061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**14*d)\/d**3)**14\/((d\/(d**1\/d))**(2\/91)\/((d**(-1)*d)\/d)**(-25)) assuming d is positive.\nAnswer: d**(17561\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 77*j - 294. Calculate the remainder when 78 is divided by q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (((-2)\/114)\/(-21 - -22))\/((-3)\/9). What is the closest to -12\/11 in -5, -1, x, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k. Suppose 0 = -2*o - o. Let w be f(o). Solve -g - 1 = w, 10*g - 5*g + 1 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 4*p - 10, 4 = 3*c + 2*p - 3*p. Let o be 10*(6\/(-4) + c). Suppose -o*w + 0*w + 25 = 0. Solve w = -j + 1, j + 3 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1915299267?\nAnswer: 3, 7, 2237, 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/3 + 26\/(-2). Let x = b - -67. What is the remainder when x is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*k + 9822 = 10278. Solve -2*m + 20 = -5*s + 48, -4*m = -2*s + k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4093155188?\nAnswer: 2, 151, 223, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 9*x**2 - 3*x + 2. Let r be i(1). Suppose 4*b - r = -0. Let s = 4 - 0. What is the nearest to 0 in s, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -110, -332, -730, -1346, -2222?\n\"Answer: -7*u**3 - 46*u**2 - 35*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*s + 15 = 38*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -810 - -539. Let i = y - -412. Let w = i - 137. Which is the second smallest value?  (a) w  (b) -24  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.014 in -490.5, 1\/5, 0.1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23393.\nAnswer: 149, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2907209293.\nAnswer: 419, 6938447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2138*x - 3400*x - 3795*x + 2675*x.\nAnswer: -6658*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -932906, -1865539, -2798172, -3730805, -4663438, -5596071?\n\"Answer: -932633*z - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.9126+-26.482504835\nAnswer: -27.395104835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -b - 0. Let l be (-2)\/b + 33\/(-4). Let u(n) = 3*n**2 - n + 11. Is u(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6517\/8 + 816. What is the common denominator of -22\/71 and c?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 229*w + 9. Let c(d) = 233*d + 10. What is -6*c(r) + 7*o(r)?\nAnswer: 205*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/6 and 56\/2445?\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 12*r - 10. Let u(s) = -2*s**3 + s**2 + 23*s - 19. Let i(m) = -7*c(m) + 4*u(m). Determine i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -125388 divided by 4644.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6582387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 - 1749*r + 1749*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 6\/7, 6378 in increasing order.\nAnswer: 6\/7, 5, 6378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24456505 + -4?\nAnswer: -24456512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.8  (b) 1\/9  (c) -42\/101  (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*m - 35673 = -56*m. What are the prime factors of m?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 17, r: 3}. What is prob of sequence rrpp?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 100006 = 54306. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 3*m - 4*t - 7 = 0, -5*m + 5*t = -40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 14*b**2 - 5*b. Let f(c) be the second derivative of 7*c**4\/12 - c**3\/2 + 77*c. Determine -5*f(k) + 3*j(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 4022.\nAnswer: -12066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {l: 15, p: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhphpppj. Give prob of sequence hjh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -36 or -122329\/3477?\nAnswer: -122329\/3477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.04, 0.13, -2, 0.4, -66?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 - -11. Suppose -r + 2*p + 7 = 0, 0 = r + p + 5 - 0. Sort 4, r, n in descending order.\nAnswer: 4, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**17*l*l**(-11)\/l*(((l**9*l)\/l)\/l)\/(l*l**(1\/9)) assuming l is positive.\nAnswer: l**(116\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -8. Suppose -9*u - 22 = -11*u. Suppose u = -4*n + 3. Sort n, f, -3 in ascending order.\nAnswer: -3, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 461 divide 674161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14437 = -2225*l - 38963 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2181 + 21138. Does 154 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66541383647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1147510844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**4 + 16*y**3 + 20*y**2 + 8*y.\nAnswer: 4*y*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -0*q - 6, -15 = 3*i - 3*q. Suppose 1 = 3*w - 14. Put i, 3, w in descending order.\nAnswer: w, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 8*j**2 + 161*j + 1181. Let y be t(-7). Solve -12*k = -15*k + 12, y*a - 13 = -2*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((5 + -4)*-27)\/1. Let l = z + 29. Factor -2*n**l + 2\/5*n**3 - 8\/5 + 16\/5*n.\nAnswer: 2*(n - 2)**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 5*o - 30 = 0, 0 = -k - 3*o + 1 + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.044185401 - 17\nAnswer: -16.955814599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 6*g + 62. Let o be 1\/(-1)*(7 + 4). Determine c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -13*b**2 - 620*b - 26. Let w(h) = 24*h**2 + 1240*h + 48. Calculate 11*a(c) + 6*w(c).\nAnswer: c**2 + 620*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.138081 to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10\/6)\/((-654)\/(-162) + -4). Let u = g - -479. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000000100100100 - -10?\nAnswer: 10000000100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1310 + -33?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of 1\/12*r**4 + 3\/2*r**2 - 1\/6*r**3 + 0 - r. What is a(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.7053 + -0.2947. Put 5, t, -1, -57, 4 in increasing order.\nAnswer: -57, t, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-9 - (10 + -11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 65914*s*t**2 + s*t - 16*s + 103*t**3 + 70*t - 36 wrt t.\nAnswer: 131828*s + 618*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**(-2\/7)))\/g**(-13))**(-18) assuming g is positive.\nAnswer: g**(-1674\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -79*10\/(-40) - (-63)\/28.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - a + 121 = 2*x, 2*a + 4 = 0. Let o = x - 25. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000804 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 685987 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 234.5635076 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 9435660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*q + 112*q - q**3 + 153*q**2 - 192*q**2 wrt q.\nAnswer: -6*q - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5.340731 litres?\nAnswer: 5340.731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 216775614 and 726.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 198 + -180 - (-1 + -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.367, 0.5, 9, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -1188  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2878607348 to the nearest integer?\nAnswer: 53653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/3*(-204)\/170\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 30\/(-9)*(-81)\/(-54). Let y(u) = 10*u**3 - 5*u**2 + 5*u - 5. Let a(p) = p**3 - p**2 + p. Give c*a(z) + y(z).\nAnswer: 5*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, -5, 32 in decreasing order.\nAnswer: 32, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.4475612 to two decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -680, -3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u**3 - 2*u**2 + 2*u + 1. Suppose 0 = 15*o - 17*o + 18. Suppose -o - 7 = -8*z. What is v(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 6*y + 13*y - 4*y + 2*y - 3*y + 2*y + (-3*y + y + y)*(4 - 1 - 5) to m + f*y and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z + 0 + 0*z + 3 + 0*z + 1640*z**2.\nAnswer: 1640*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -58.9002367 + 19.900243. Let h = 39 + p. What is h rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - (7 + 2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31193284*f**5 + 33*f + 10049 wrt f.\nAnswer: 623865680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from fgveevgefffvgfn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 75*j = 74*j - 230 + 159, -5*j - 89 = -3*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4007160 plus -0.1545?\nAnswer: -4007160.1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16428\/5, -0.3, 2\/3.\nAnswer: -16428\/5, -0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*o**2 - 21*o + 85*o + 51*o.\nAnswer: 8*o**2 + 115*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-66)\/(-297) - (-1364)\/18. Suppose 2*f + b - r = -0*b, -f = -b - 32. What is the remainder when 30\/(-12)*-21*2 is divided by f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1128 and 71769.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35894 is divided by 130?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -169, -680, -1539, -2752, -4325, -6264, -8575, -11264?\n\"Answer: -g**3 - 168*g**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -12*i**2 + 2*i**2 + 2*i**3 + 472*i**3 + 13*i**2. Let v be u(-2). Round v to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.60228817 to 1 decimal place.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -14, -62, -152, -290, -482, -734?\n\"Answer: -x**3 - 15*x**2 + 4*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 210156*t*w**3 - 15396*t*w**2 - 2*w**2 wrt w.\nAnswer: 1260936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 8073330, 1\/9, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of 0 + 1\/3*a**3 - a**2 + 31\/6*a**4 - 8*a. What is the units digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 8*m + 11. Let n be -1 - 0 - 48\/6. Let z be o(n). Let c be -3*(z - (-26)\/(-12)). Is 1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*i - 5*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2874*v - 1028*v = -469 - 517 - 860 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26686 - -26706. Solve 0 = p*w + 9 - 169 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 12:31 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -15663 >= -15663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -48.35 + 49. Let r = n - 33.65. Let s = 33.00000074 + r. What is s rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - ((-9 - -15) + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 500 = 4*m + 4*z - 496, -4*z = -8*m - 72 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -895 = 5*y + 3*p - 105, -3*y - 474 = -3*p. Let s = y - -160. Suppose -5*w + 5 = -0*w. Put s, -3, w in decreasing order.\nAnswer: s, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 68 and 224.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.215 times -0.6?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = l - 375, -5*l + 8*q - 12*q + 1788 = 0. Calculate the least common multiple of 40 and l.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.12*-0.18\nAnswer: 0.3816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -92.35 + 93. What is the second biggest value in l, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(1331) + 0) - sqrt(1331)) + -5)*-2 + (5 + -1*(sqrt(1331) + sqrt(1331)*-2) + -5)**2 + 5.\nAnswer: -22*sqrt(11) + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34 (base 6) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 1337 divide 3990885279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68, 81, 94, 107?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4  (b) 14  (c) 19  (d) 5  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 560*a - 555*a = 2365. What is the greatest common factor of 220 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -71 - -75. Solve m + 2 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6535 times 0.4?\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2249, -4495, -6741, -8987, -11233, -13479?\n\"Answer: -2246*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/v**(-12)*v)\/(v\/v**(3\/5)) assuming v is positive.\nAnswer: v**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1289 - 1285. Solve m*k + 6*k - 50 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 + (-8)\/(-5))*-5. Suppose 2*a = -2*a. Solve a*i = -l*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139 is divided by 19\/((-456)\/(-512))*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - -69)\/(38 + (-37)\/1)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1644*h**2 + 752*h**2 - 913*h**2 - 2735*h**2 + 3*h.\nAnswer: -4540*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**2 + z**2 + z**2 + (-4 - 1 + 3)*(-z + 3*z - z)*(-4*z + 15*z + 18*z) in the form f + t*z**2 + p*z and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -n*s**4 - 6*n*s**3 + 211693*n*s**2 + 2*n + 21*s**4 - s**3 wrt s.\nAnswer: -24*n*s - 36*n + 504*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, -12, -680.029?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 12321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10387 divided by 17.\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -50b + -4?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -279.\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19\/183 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 206138 - 20950 = 134*y. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*h = 0. Let d(g) = h - 2 - g - 2 + 5. Calculate d(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3352 - 3342. Solve q*d - 5*d = 5, 4*d = 3*k - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5044562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 66777, 135132, 203487, 271842, 340197?\n\"Answer: 68355*y - 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.051 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 240 - 163. Let y = -44 - -30. List the prime factors of y\/c + (-48)\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 738818 is divided by 49185?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o - 58. Let l be k(-26). Let y = l - -109. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -36*s - 1805. Let j be i(-50). Which is the nearest to -2?  (a) j  (b) 5  (c) -0.38  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 2\/13  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -73 - -75. Solve 2*x + w = -0*x - 11, -j*x - 5*w = 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 1. Let b(m) = 5*m**2 + m - 4. Give b(h) + 6*s(h).\nAnswer: -h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/20 and 33\/2*(-260)\/360.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 1 + 15. Solve 5*p = 4*t - 10 - 6, 21 = -5*t - s*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(78) + -1*sqrt(78)*2 + sqrt(78))\/sqrt(6) - (sqrt(143)\/sqrt(99) + (sqrt(260)\/sqrt(5) - sqrt(52))\/sqrt(4))).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -4\/380041681 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79, -96, -127, -172?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 371\/77 + (-2)\/(-11). What is the greatest common divisor of z and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5224 (base 7) to base 3\nAnswer: -2111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, 2\/883, -0.3.\nAnswer: -1, -0.3, 2\/883, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -38 - -115\/3. Which is the closest to y?  (a) 0.1  (b) 4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16388 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 6453764.6 times 5\nAnswer: 32268823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -8, -4, 2 in descending order.\nAnswer: 2, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -39025 + 44878747\/1150. Find the common denominator of 3\/2 and f.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29 - 29. Let v be 112\/180 - (-4)\/(-18). Which is the closest to -3?  (a) f  (b) -0.1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2\/19)\/a**(-1\/6)*a\/((a\/(a*a**(1\/3)\/a*a))\/a)*a**(-15) assuming a is positive.\nAnswer: a**(-479\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*s - 3*y - 1428 = 19*s, -5*y + 30 = 0. Calculate the remainder when s is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38 + -19. Let l = c + -34. Let p be (12\/l)\/(6\/(-15)). Solve 0*b - p*b = t + 1, -3*t = 5*b + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20377545293.2 + 0.07.\nAnswer: 20377545293.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18\/39 + 875030\/845?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 376614 divided by -62769.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 868 = 34*g + 1888 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3\/19  (b) 4\/9  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 6*m**2 - m + 14. Let z be u(6). Suppose 0 = -c - n + 62, -5*n + z = 3. What are the prime factors of c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 + 15*x - 26. Let j = -48 - -83. What is the remainder when j is divided by r(11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 894\/28 - 2\/(-4)*280\/1960?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 2*v. Suppose 463 = 3*y - f + 5*f, v = -4*y + 4*f + 608. What is the greatest common divisor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.15 and 954275.\nAnswer: 954275.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-10)\/(-25))\/((-2)\/(-80)). Let h(p) = p**3 - p**2 - 3*p. Let d be h(3). Let q = z - d. What is the remainder when 19 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17072.134 + -17065. What is x rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -7*c**5\/20 + c**4\/3 - 2*c**3\/3 + 7239*c. Let n = -4 + -5. Let y(x) = -15*x**3 + 9*x**2 - 9*x. What is n*v(q) + 4*y(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12\/1895 - -30711\/1895. Put -0.3, 1\/2, 2\/3, 0.03, f in decreasing order.\nAnswer: f, 2\/3, 1\/2, 0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -10, -12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 866307?\nAnswer: 3, 13, 97, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9564, -38031, -85438, -151785, -237072, -341299?\nAnswer: -464466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1008190, -1008232, -1008302, -1008400, -1008526, -1008680, -1008862?\nAnswer: -1009072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 - 4*c**2 + 14. Let u be o(-3). Let q(y) be the first derivative of -y**4 + 0*y**2 - 5 - 2\/5*y**u + 0*y + 1\/3*y**6 + 0*y**3. Factor q(t).\nAnswer: 2*t**3*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*h**3 + 223*h**3 - 82*h**3)*(h - 3 + 3).\nAnswer: 157*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 0  (b) 2\/13  (c) 0.4  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11017 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 12409 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22 - -12100441101?\nAnswer: 12100441024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -1030, 2, -5, -4\/5 in decreasing order.\nAnswer: 11, 2, -4\/5, -5, -1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/4))**(-12)\/(b**(-2\/19)\/(b\/(b**(-5)\/b))) assuming b is positive.\nAnswer: b**(192\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 878177 is divided by 158?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 448608 and 2784.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 0*i**2 - 3*i - i**2 + 4*i. Let x be z(0). Let u(y) = 8*y**3 - 113*y**2 + 15*y - 12. Let o be u(14). Solve x*n - 2 = -o*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -403.63 + 407. Let x = p + -5.37. Which is greater: 6\/17 or x?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 4*c - 27, 3*c - 15 - 11 = 5*w. Solve -3*t - 5 = c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7217596.\nAnswer: 2, 1804399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -75 - -81. Let i(b) = -5*b - b + 0*b + 3 + 4*b**3. Let u(y) = y**3 - y + 1. Let v(g) = o*u(g) - i(g). Differentiate v(q) with respect to q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1600635318.\nAnswer: 2, 3, 37, 139, 51871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.946261 kilograms in grams?\nAnswer: 946.261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8199268 or -8199315?\nAnswer: -8199315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 210.97499 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/147  (b) 5\/4  (c) -0.37  (d) -2\/7  (e) 346\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.97022 + -0.97021877218. What is w rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mhulcmluuucccu. What is prob of picking 2 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9568 and 1104?\nAnswer: 28704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**5\/4 - 397*s**4\/4 + 31821*s**3\/4 - 409391*s**2\/4 - 415472*s + 509964 = 0. What is s?\nAnswer: -467, -4, 1, 21, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -8448*q + 135195. What is t(16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*5*(-2*sqrt(272))**2 + -2 + -3 + (1 + sqrt(272)*-4 + 3)**2.\nAnswer: -17397 - 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/9))**(7\/3)\/(k*k**(-15\/4)\/k*k\/(k*k*(((k\/k**(-21))\/k)\/k)\/k*k)) assuming k is positive.\nAnswer: k**(2729\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 6*m**2 + 7*m + 11. Let i be d(3). Solve h = 2*h + v + 4, -i*v - 14 = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 + v. Let y(f) = -f**3 - f**2 + 3*f. Let a(x) = -l(x) + y(x). Let j be a(-2). Find the first derivative of 4 - 3*t**j - 4 - 2 wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 6 = 2*u, -4*d - d = -3*u - 16. Suppose 0 = -d*t - 4*t. Let m be (-8)\/(-3)*3\/1. Solve t*w - m = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3365 is divided by 76.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*c + 641714 = 640229 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2045.1, 6, -3\/7 in descending order.\nAnswer: 2045.1, 6, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of 1\/4*w**4 + w**2 + w + 2\/3*w**3 + 3. Let t be g(-1). Solve t*v = -v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*a**2 - 15*a**2 - 12*a**2)*((-2*a + 0*a + a)*(-2 - 3 + 2) - 5*a + 3*a + 3*a + (1 + 1 + 0)*(-5 - 2*a + 5) + 5*a - 3*a + 0*a).\nAnswer: -70*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1))**(-4\/31)*(g**(1\/4))**10*(g**(-1)*g*g*g)\/((g*((g**(5\/4)\/g)\/g)\/g)\/g)*(g*g**(-1\/2))\/g*(g**(-3)*g)\/g assuming g is positive.\nAnswer: g**(357\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 4, 0.59, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -745 + 2183\/3. Calculate the common denominator of v and (1\/(-3))\/((-11)\/(-120)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002955893 to 7 decimal places.\nAnswer: 0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(84)*-3 + (sqrt(84) - ((sqrt(84) - -1*sqrt(84))*3 - sqrt(84)) - sqrt(84)) + sqrt(84))\/((sqrt(192)\/sqrt(4) + sqrt(12))*-5*2))**2.\nAnswer: 847\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in -10\/83, 3, 0, 4?\nAnswer: -10\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/4  (b) -4  (c) 0.09  (d) 0.1  (e) -58.4  (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w. Let k(p) be the second derivative of 0*p**3 + 7*p + 1\/24*p**4 + 0 - 2*p**2. Let v(t) be the first derivative of k(t). Determine v(r(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l**2 + 6*l**3 - 96*l**3 - 52*l**3 + 0*l**2 - 47*l**3 as w + y*l + b*l**2 + f*l**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = -2*r - 75. Solve -20*y + 16*y - r = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -17.2  (b) 8\/395  (c) 0  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l - 56*l - 840 = 26*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2698696 divided by -52\nAnswer: 51898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 14, 4, 1\/7, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the third derivative of -f**7\/630 + f**6\/360 + f**5\/180 - f**4\/72 + 4*f**2. Find h such that j(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19.39 - -1.79. Let r = -17.6 - p. Put r, 4, 3\/5 in descending order.\nAnswer: 4, 3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wrjwrxxxxjxx. Give prob of sequence rrwx.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c - 25. Let m be s(27). Let i be ((-2)\/10)\/(48\/(-440)). Is m greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {z: 3, f: 2, v: 3, y: 1, k: 1, s: 8}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*t + 386 + 109 = -0*c + 14*c, -3*c + 2*c + 91 = 5*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8544 + -6042. What are the prime factors of z?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 11*n**2 - 13*n + 11. Let q be b(12). Let i(a) = 1 + 1 - 3 - 4*a. Is 3 a factor of i(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 5*d - 1544 = 0, 7*p - 5*p - 4*d - 1540 = 0. What are the prime factors of p?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -776*u - 3886. Determine q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.5 and -130.437275.\nAnswer: -129.937275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 365.179 + -365. Let k = 0.179 - i. Which is the third biggest value?  (a) -2  (b) 0.06  (c) k  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -26 and -474\/24557 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7451*o**4 + 91*o**2 + 12883*o - 91*o**2 - 3682*o**4 wrt o.\nAnswer: -133596*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a + 80 = 32. What is the third derivative of -48425*u + 291*u**2 - 6*u**3 + 71*u**4 + 48425*u + a*u**3 wrt u?\nAnswer: 1704*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 126192388 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 1 + 3*(3 + ((2 + sqrt(567) + sqrt(567))*-5 + -2 + -2 + sqrt(567))*-5).\nAnswer: 218 + 1215*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 divided by -114?\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v**2 + 33*v + 14. Let b = 376 - 361. Is g(b) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 13 = -n, 4*n - 20 = -5*k - 4. What is the second derivative of 5*w**3 - 4*w - 71 + 3*w + 3*w**2 + 61 + 14*w**3 + k*w wrt w?\nAnswer: 114*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x - x - 80. Suppose 3*s - s = -4*p + 8, 5*p = -5*s + x. Solve 12 = -4*g - s*m, 3*g - m = -7 - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 423 divide 334407269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 + 16. Let j(i) = 4*i**3 - 2*i**2 - 2*i + 2. Let f be j(s). Let u = f - -34. Solve 10 + u = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/5*3\/18?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-2 - (-3 + -1)) + -2 + (-1 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -12809 at most -12810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-1 - 8\/(-10)). Let l = -256 - -259. Suppose 5*a = -d*z + 25, 0*a + a - l*z + 7 = 0. Sort a, 0, -6 in descending order.\nAnswer: a, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) + 1)) + -1 + (sqrt(612) + sqrt(612)*-2 + sqrt(612))*-5)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.3200457 rounded to 1 decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*8.678\nAnswer: -2.6034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from qnhbbtllnthbbt.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 4*d**2. Let q(l) be the second derivative of 0*l**3 + 0 + 1\/6*l**4 + 4*l + 0*l**2. Calculate q(i(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = -4*n - 142, -3*n + 16*n + 10*b = n - 346 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -217*q + 1047*q + 1496*q + 1839*q + 1907*q.\nAnswer: 6072*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6422257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 205*m**3 + 8*m**2 + 415. Let d(b) = -387*b**3 - 468*b**3 - 3*b**2 - 138 + 787*b**3. Let o(v) = 8*d(v) + 3*w(v). Differentiate o(u) with respect to u.\nAnswer: 213*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 57\/((-91)\/(-42) + -2). Suppose 5*h - m = -2*f, -3*f = -h + 3*h - 128. What is the greatest common factor of h and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 9:50 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.784 + 487197508?\nAnswer: 487197505.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 13*d**2 - 11*d - 166. What is the tens digit of v(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 166 divide 548303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + 11*p**2 - 8*p - 17. Let v be f(10). Solve 0*z = v*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8457 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*b = 6*b - 10, -5*i + 5*b = 40. Suppose -3*h + 6*h = 48. Let n = i + h. Solve -4*j = -n*r + 2*r - 13, 0 = -2*j - 5*r - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -7.4. Let p = v - -1.3. Let x = 0 - p. What is the third smallest value in 0.2, -0.5, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 55 and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 104 and 481015028.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/(d**(-4)\/d))\/d)**(4\/7)*(d**(4\/9)*d)**(-2\/13) assuming d is positive.\nAnswer: d**(202\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 92b0 (base 12) in base 8?\nAnswer: 37144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 23*u**3 + 11*u**2 + 3*u - 4. Let c be j(8). What is c rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1511*o - 1512*o - 27 = 3*q, -3*q - 27 = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -47*v**2 + 6*v - 14. Let s(q) = -141*q**2 + 17*q - 40. Determine -17*m(k) + 6*s(k).\nAnswer: -47*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/7))**(-29)\/((f\/f**(-9))\/(f\/(f*f**(7\/8)))))**(-1\/18) assuming f is positive.\nAnswer: f**(1073\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 786 + -789. Suppose 3*y + 3 = -5*x, 5 = 3*x - 5*y - 0. Suppose j = -x*j. Which is greater: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -245*f + 70363. Give l(289).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) + -2 + 2 + sqrt(847))**2 + (sqrt(847)*-2 + sqrt(847) + -2 - sqrt(847)).\nAnswer: -22*sqrt(7) + 3386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -344 - 375 + 56*q**2 - 404 + 1180.\nAnswer: 56*q**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -757*i - 187*i - 2481 + 785 = 11520 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes before 9:49 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.5 + 1.4. Suppose -n = -2*r - 6, -2*r - 3*n = 8 - 2. What is the nearest to i in -2, r, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y = -y. Is 4\/9 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kxx when three letters picked without replacement from {x: 8, k: 3}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1046 by 1.\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4551 = 5*f + 481. Let c = 6485\/8 - f. Find the common denominator of -143\/12 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 1 + 7 = 2*o, 3*o = 2*r + 12. Let w be ((-6)\/27)\/(o\/9). Let l = -0.05 - 0.45. Which is the closest to w?  (a) -4\/3  (b) l  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/5 and -25\/51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*4\/24 + 192\/252.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.38 - -0.08. Let p = q - -0.4. Let k = 2.04 - 0.04. Which is the nearest to p?  (a) k  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8.1 - -7. Let l = 2 - 1. Let a = l + v. Is 3 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33 + -17. Suppose -4*t + f + 48 = 0. Suppose 11 = 5*b - 2*b + 4*z, -4*b - 5*z = -t. What is the highest common factor of 18 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77 = 4*a - 63. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2. Let x be -47*1\/(-2)*-2. Let b = -43 - x. Let p(u) = -30*u**2 + 4*u. Let w(s) = b*k(s) - p(s). Find the second derivative of w(o) wrt o.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w. Let j(i) = -i**2 + 91*i - 7. Give j(p(r)).\nAnswer: -r**2 + 91*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -839208*z**3 + 4*z - 240*z**4 + z**2 - 4*z + 839205*z**3 as g*z + p*z**3 + q*z**4 + t*z**2 + w and give q.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + 2*n - 2. Let i(o) = 4*o**2 + 3*o**2 - 3*o**2 - 10*o - 2 + 12. Let u = 259 + -178. Suppose d - u = -78. What is d*i(b) + 14*k(b)?\nAnswer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 48\/5 of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**2 - 242*y - 80460 = 0 for y.\nAnswer: -149, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 85. Let j = 206 - n. Suppose 86 = 5*a - j. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1353319706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*3*sqrt(17) + sqrt(34)\/(sqrt(8) - sqrt(2)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1115625 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -14877\/3217 greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n**2. Let i(f) be the second derivative of f**4\/4 - 2*f. Let k be i(1). Let q(v) = -k*v - 15 + 15. Determine q(y(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3640*h**3 + 6*h**2 - 7*h**2 + 4*h**4 - 2 + 2*h - 7*h**4 + 3625*h**3 in the form m*h + p*h**3 + j + b*h**2 + d*h**4 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 divided by 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 8*b**2 + 4*b + 3. Let m be i(-2). Let g be 10*(28\/(-10) - -2). Let k = 17 + g. Calculate the highest common divisor of m and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -9*j**2 + 6*j - 17. Let b be z(3). Let w = b + 81. Solve -4*p - 5*o = 1, -w = 3*p - 2*o + 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 78*f = 640 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + 3*w + 32. Let j be h(7). Suppose i = -j*p + 12, 6*p - 7*p = 4*i - 123. Calculate the remainder when 61 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -958*i = -976*i + 228 + 150. Let h be (-15 + 1)\/((-2)\/4). What is the highest common divisor of i and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 404050 divided by -202025.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 340 - 537. Let j = c + 281. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 422 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1138 - -543. Suppose -24*t - p = -9505. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 53496 and 72?\nAnswer: 53496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -6, 654 in decreasing order.\nAnswer: 654, 8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 548 + 31*z - 1128 - 7*z**2 + 578 + (-4*z + 0*z + 2*z)*(-3*z + 6*z - z) + (-1 + 3 - 3)*(-z**2 - 2*z**2 + 4*z**2) in the form s + n*z + o*z**2 and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -59, -97, -183, -341, -595, -969, -1487?\n\"Answer: -4*v**3 - 10*v - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/561 and 49\/30?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 2 h, and 1 b when four letters picked without replacement from hbbohhho?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -13. Let w = p + 9. Let y(z) = 6*z - 6. What are the prime factors of y(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(896)*-2)\/(sqrt(800) + (sqrt(800) - (sqrt(800) + sqrt(800)*-2)) + sqrt(800)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -d**4\/4 - 4*d - 8. What is s(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2*w - 90 = -4*w, w - 145 = -3*n. Suppose -3*b = b + 4*c, -5*b + 5*c = -n. Suppose m - 1 = 5*o - 18, 4 = 2*o + m. Sort b, 0, o in ascending order.\nAnswer: 0, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/(p*p\/(p\/p**(-15))))\/p)**(-9))**0)**(5\/4) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1590546.\nAnswer: 2, 3, 265091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 + 283012\/16 + 2\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 7:38 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 218, 225, 234, 245, 258, 273, 290?\n\"Answer: v**2 + 4*v + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76734.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -11882557 from 18.3732.\nAnswer: 11882575.3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3*y - 1 - 2, -2*y + 3*l = 5. Suppose o = -y + 13. Let s(k) = -k + 23. Is s(o) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/185 and 59\/8300765.\nAnswer: 8300765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*r**5 + 29341*r**4 - 3*r**3 - 1180*r**2 + 661*r + 4?\nAnswer: 120*r**2 + 704184*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -2\/13, 0.3, -207, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -6*p**2. Let l(d) = 3*d + 0*d + 0*d - 2*d. Determine l(x(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-586 - -615) + 0 + -6 + 101?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6*(21 + (-6897)\/330) - 404\/(-10)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 523 + -333. Suppose 5*v - y = 5*d, -3*d = -7*d - 4. Suppose 13 = 5*t - h - 15, -5*t + v = -4*h. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 6 - 4*f + 5 - 11. Calculate g(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10034, 10079, 10196, 10421, 10790, 11339, 12104, 13121?\nAnswer: 14426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 10*m**2 + 61*m**2 + 30*m**2. Let j(q) = -3 + 386*q + 392*q + 3 - 776*q. What is i(j(o))?\nAnswer: 404*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3710861383 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 3*n = 12. Let x = -36 + -30. Let c = x - -74. What is the remainder when n is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.237923 micrograms to tonnes.\nAnswer: 0.000000000008237923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1195 and 4202172.9?\nAnswer: 4203367.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 459*u + 463*u + 113 = 0, 4*j + u + 97 = 0 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4424220824 + 341\nAnswer: 4424221165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - y + 18. Let n(p) be the third derivative of -5*p**4\/24 + p**3\/3 + 206*p**2 - 40. Let l(m) = -5*m + 3. What is y*n(a) - 4*l(a)?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2 = -4*o. Let z(v) = -2*v + 1. Let b be z(o). Let u = b - 7. What is u rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {d: 2, k: 2, t: 3, y: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 432*y**5 - 75430*y**2 + 1148*y**5 + 15 + 1281*y**5 - 30*y + 75430*y**2 wrt y?\nAnswer: 57220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3286893 divided by 86?\nAnswer: -3286893\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -0.4, -2\/15, -48, 0.4 in ascending order.\nAnswer: -48, -0.4, -2\/15, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 10 times -839497\nAnswer: -8394970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 7*t + 3*h = -18, 2*h + 4 = 2*t. Let u be (4\/t)\/(8\/60). Let z(c) = c**2 - 9. Let d be z(8). Calculate the greatest common factor of u and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -7*v**2 + 7*v**2 + 2*v**2 + 1 - 1. Let x(n) = 8*n**2 - 4*n. Let z(a) = 9*a**2 - 5*a. Let c(k) = 5*x(k) - 4*z(k). Give c(j(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - 1*0\/3. Let m(q) = 56*q**x - 109*q**2 + 51*q**2 + 5*q. Let r(y) = -y**2 + 3*y. Determine 6*m(w) - 10*r(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*h**2*m**2*n**2 - 204*h**2*m + 2*h + 16*m**2*n**2 - 3*m**2 with respect to n.\nAnswer: 30*h**2*m**2*n + 32*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*d - 12 = 102*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 47302752 divided by -1126256?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -69 < -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of c**7\/12600 - c**6\/360 + 17*c**4\/12 + 164*c + 1. Let y(o) be the third derivative of d(o). Factor y(b).\nAnswer: b*(b - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21122 (base 3) in base 13?\nAnswer: -12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1281 and 549.\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 - 11*i**2 + 12*i - 10. Determine j(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.1 and -15?\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/70605 and 31\/7845.\nAnswer: 70605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 38699898 + -21628176. Let t = n - 17071685.000015. Let b = -37 + t. What is b rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.9512 + -0.0488. Suppose v - 3*v + 2 = 0. Which is the nearest to u?  (a) v  (b) -4  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of -j**5\/20 + 7*j**4\/6 - 3*j**3\/2 - 15*j**2\/2 + 12*j. What are the prime factors of a(11)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -376*r - 69*r - 17732 = 127*r for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/219 and 14\/205983?\nAnswer: 15036759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*k + 5*k - 2*k + (-k + 0*k + 2*k)*(4 - 2 + 0) + (4*k - k - k)*(0 + 1 + 0) + 2*k - 2*k + k - 4*k + 2*k + 8*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11010\/23 or -151\/11?\nAnswer: 11010\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 31 = 23. Solve 3*a = -2*a - 3*x + v, -8 = a + 3*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3222183887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 26*x**2 + 24*x - 1. Determine o(-27).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o**2 - 5*o + 2. Let g(c) = 4*c**2 - 4*c + 3. Give -3*g(r) + 2*k(r).\nAnswer: -2*r**2 + 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -20*i**2 - 4915*i + 1230 = 0.\nAnswer: -246, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum 24572802 and 14243.\nAnswer: 24587045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 0*j + 4 = 0. Suppose 4*i = 4*z - 52, -2*z - j*i + 18 = -20. What is the remainder when 143 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 306114 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 5 + 1 + 679*j**2)*(-3*j + j + 3*j).\nAnswer: 679*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (1\/2)\/(5\/16*12)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1218 - 19. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(104)\/(sqrt(200)*6) - (4*sqrt(1053) + -2).\nAnswer: -1079*sqrt(13)\/30 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 183*a + 4 - 3671*a + 5*a**2 - 7*a**2.\nAnswer: -2*a**2 - 3488*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 576*l**3*x - 956*l**3 wrt x.\nAnswer: 576*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/(-28) - (-250)\/(-7). Let o be (w\/15)\/((-2)\/10). Suppose -r - 2*x + 18 = 0, -3*x = x - o. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 14  (b) -0.5  (c) -5  (d) 1\/3  (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 864464 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3720 and 26040.\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 + (3 - 6) - -3. Solve -o = n + n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**3\/4 - 2553*o**2\/4 - 135468*o + 136107.\nAnswer: -3*(o - 1)*(o + 426)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*a + 87*a + 990 = 0. Let f(t) be the first derivative of t**4\/4 - 2*t**3\/3 - t**2 + 4*t - 10. What is the remainder when a is divided by f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 0. What is the closest to 25 in -2, -3, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2260348218?\nAnswer: 2, 3, 29, 4330169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 83718.81ug?\nAnswer: 83.71881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.605 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(1280) - sqrt(1280) - (sqrt(180) - (sqrt(180) + sqrt(180)*1) - sqrt(180) - sqrt(20)))*1)\/((-3*sqrt(64) + sqrt(64))*-5).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 16449a5 (base 11) in base 12?\nAnswer: b320bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -279 + 279.0000259. Round r to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b - 3. Let f be x(6). Let j = 20 + -11. What is the greatest common factor of j and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 136*s**2 - 25301*s - 19639248 wrt s?\nAnswer: 272*s - 25301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 294 and 2586.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + 38 + 9 - -8?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 5*u**2 + 6. Let k(r) = 7 + 0 + 0 + 6*r**2. Suppose 2*h = 5*b + 33, 0 = b + 4*h + 3 + 8. Give b*j(p) + 6*k(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 277 by -185.\nAnswer: -277\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeddeeee. Give prob of sequence ede.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6821476695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 3*l = 16. Suppose 4*m = -5*i - 55 - 34, l*m = 5*i + 121. Calculate the smallest common multiple of 9 and (4 + -1)\/(i\/(-28)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 247172734.\nAnswer: 2, 31, 127, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {d: 3, e: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/((p**(-1\/7)\/p)\/p*p)*p**15*(p\/((p*p**(4\/13))\/p))\/(p*p*p\/p**(8\/7)) assuming p is positive.\nAnswer: p**(1454\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*w + 14. Factor -2*d**3 + d**3 - 3*d**3 + w*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - -26)*10\/30. Let w = v - 2. Suppose -w*k = -2*k - 45. What is the highest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -250*w**4 + 6*w**3 - 3*w - 99. Let d(u) = 7249*u**4 - 176*u**3 + 88*u + 2871. Let a(m) = 3*d(m) + 88*k(m). Differentiate a(f) wrt f.\nAnswer: -1012*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, x: 2, a: 5}. What is prob of sequence xeaa?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/h**1*(h*h**(-15))\/h)\/(h**(1\/10)\/h*h**(-1\/2)) assuming h is positive.\nAnswer: h**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 17*o**2. Let m(g) = 2*g - 34782. Give m(j(y)).\nAnswer: 34*y**2 - 34782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/1)\/((-42)\/126). Sort 4, 19, 0, 5, i in descending order.\nAnswer: 19, 5, 4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -462 - -42. Let n = -1677\/4 - v. What is the smallest value in n, 0.3, 60?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 22429 + -20330. Is 2100 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of 109*t**7\/70 + t**6\/60 - t**5\/30 - 5*t**4\/4 + 828*t**2. What is the third derivative of o(m) wrt m?\nAnswer: 7848*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of -1\/10*n**5 + 7\/6*n**3 + 0*n + 0 + 0*n**4 + 2*n**2 + 1\/120*n**6. List the prime factors of s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -14*l**4 + 6*l**3 - 4*l**2 - 43*l - 12. Let d(v) = v**4 - v**3 + v**2 + v + 2. Let p(t) = 6*d(t) + i(t). What is the second derivative of p(a) wrt a?\nAnswer: -96*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v**2 + 13*v + 11. Let n be w(7). Solve 9*o - 4*o - 5*r - 25 = 0, -n*r = o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1131820139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16883*b**4 + 38*b**2*l**2 - 2*b*l - 2324100*l**2 + l + 1 wrt b.\nAnswer: 67532*b**3 + 76*b*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**5 + 7*g**5 - 2*g**5 + (119*g - 75 + 121*g - 239*g - g**3)*(-2*g**2 + 7*g**2 + g**2).\nAnswer: -2*g**5 + 6*g**3 - 450*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3330312102 - 102232?\nAnswer: -3331021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -232 divided by 58\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*c**4 - 45*c**3 - 9*c**2 - 72*c - 9010985 wrt c.\nAnswer: 16*c**3 - 135*c**2 - 18*c - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 - r + 3. Let h = -2 - 1. Let c be t(h). Let x = 0 + c. Let p(s) = -s**2 - 4*s - 4. Determine p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-35)\/126)\/((-7)\/42*20)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2256 = 357*q + 2028 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36200303.261 - -37006920.260865. Let i = x - 806641. Let r = -24 - i. Round r to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2105 is divided by 608.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 60261586 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9\/(-6))\/((-1)\/216) - 4. Suppose 91 = g + 3*x - 79, f = 2*g + x. Calculate the remainder when g is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4*w = 0. Suppose 5*p + 35 = -4*j - 42, 2*p + j + 32 = w. Let m = -12 - p. Solve 0 = -m*l + 11 - 31 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*3\/((2625\/(-465))\/(-25)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -64.587 and 5656074601.\nAnswer: 5656074536.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q**2 - q - q**3 + 2*q**2 + 17. Let r be l(0). Let o = 32 - r. Calculate the remainder when 29 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ppspppppgpppp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 829192 is divided by 1586.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-3196)\/(-663))\/(6\/3) - 5\/2 and -59\/270.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 968045 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/3, 5, 296\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4.327 - 1.01139\nAnswer: -5.33839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 73 + -42. Suppose 2*n - u = 29. What is the greatest common factor of n and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2241 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -r - 3*t, 3*t - 6*t = -9. What is the remainder when r is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -10, 9, 173, -2\/3, 2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from bddutdddddbdutdbbbud.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 - 15*a**2 - 15*a + 7. Suppose 2*v - 8*v + 132 = 0. Suppose v = -5*u - 48. Is o(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of 7*o**6\/720 - o**5\/24 - 7*o**4\/12 + 5*o. Let a(m) be the third derivative of q(m). What is the units digit of a(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 39 - 189. Suppose 2*g + 37 = -p. Let w = 80 + g. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - 2*r**2 + r - 2. Let k(a) = -98*a**3 + 8*a**2 - 4*a + 8. Calculate k(w) + 4*s(w).\nAnswer: -102*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -104613.5 rounded to the nearest 1000?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 229400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -510 = 2*v + 3*v - 3*k, -5*k - 74 = v. Let b = -82 - v. Suppose -26*d = -b*d - 90. Solve -2*a = i, -2*a - 3*a = 5*i - d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 0*w - 4*w + 17, 4*w = 2*n - 18. Suppose 3*c - 8*c + 70 = 5*q, -38 = -5*q + 3*c. What is the units digit of (-2)\/n + 84\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k - 2*m + 22, 440*k - 436*k - 2473*m + 2472*m = 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 8*z**2 - 198*z - 36. Let i be v(25). Solve -73 + 45 = -i*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/(24\/(-16)))\/2. Let h = 22 + -24.3. Let j = -0.7 + h. Which is the third smallest value?  (a) 3  (b) j  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.33 - -4.73. Suppose 5 = -2*c - 3. Let d be (2\/(-4))\/(21\/c). Sort -3, d, f.\nAnswer: -3, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-112)\/(-21)*2\/168*(-12)\/(-8)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b**2 + b**2 - 3*b**2)*(2 + 4 + 0)*(-14 - 7 - 22) + (2 - 2 - 2*b)*(-2*b - 2*b + 6*b).\nAnswer: 254*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9114, -18233, -27354, -36477, -45602, -54729, -63858?\nAnswer: -72989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(1331) - (5 + (sqrt(1331) - sqrt(1331)*-1 - sqrt(1331)))) + -2)**2 - ((5 + sqrt(1331)*1 + sqrt(1331))*2)**2*4.\nAnswer: -85535 - 3520*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 657663 + -657695.4197. Let s = t + 22.41888. Let n = -10 - s. Round n to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67631747 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 36*l - 40*l. Suppose l + 9 = o + 3*x, 0 = -5*o - 5*x + 40. What is the third derivative of 5*v**o - 8*v**3 - 6*v**3 + 14*v**3 + 10*v**2 wrt v?\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3623\/390 + -187\/65. Let b = 2804603\/64 + -43821. What is the common denominator of b and m?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/17169492 and -75\/20031074.\nAnswer: 120186444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y**2\/4 - 58145713*y\/4 + 4845476 = 0.\nAnswer: 1\/3, 19381904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28776020*k**5 + 3*k**3 + 1141480*k + 75?\nAnswer: 575520400*k**3 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.152 - -1.152. What is the nearest to 1 in 57, -4, b, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 23553.27 months?\nAnswer: 1962.7725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - 5 - (4 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29551\/110 - -15518\/55. Determine q so that -3*q**2 + 171\/2*q**4 + v - 117\/2*q + 141*q**3 + 27\/2*q**5 = 0.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11010 (base 2) to base 7\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-9) + 2996\/3. Let o = x - 589. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/3  (b) -6.2  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2150 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 543708983?\nAnswer: 23, 71, 332951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*k - 11*k**4 + 3*k - 2*k**2 + 9*k**4 - 253*k**3 + 81 - 83 as y*k + i*k**3 + a + d*k**4 + s*k**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 119866 - 119915.977. Let k = 50 + i. Round k to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**5 + 394*t**4 + 18382*t**3 - 102010*t**2.\nAnswer: 2*t**2*(t - 5)*(t + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -401*f + 399*f - 6*l = -22, 9 = 3*f + 3*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 3 + 66*y - 7 + 4. Let q be f(3). What is the greatest common factor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29261 is divided by 5851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -4  (b) -2  (c) -70  (d) 0.092  (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -19*j - 302. Let z be s(-32). What is the greatest common divisor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, j: 1, d: 5, g: 4, e: 2}. What is prob of sequence gbgg?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 6 = -0*p, 2*j + 742*p + 3 = 741*p - 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8\/663 in -2\/3, 1\/2, 1\/5, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 15 - 2)*(2*d + 0*d + d)*(-1 + 1 + d).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1005 - 40209\/40. Find the common denominator of q and -49\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8481799.288 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, 0, 10, 22, 36?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2 - n + 9. Let f be l(0). What is the common denominator of 29\/22 and ((-1)\/f)\/((-16)\/804)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from opbooboop?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 divided by 5.\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-11) - (-5252)\/1144\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43*-976.\nAnswer: 41968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -112, -222, -332, -442, -552?\n\"Answer: -110*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 444 + -66. Suppose 2*g = -7*g + u. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2. Let s(n) = 493*n. What is s(d(j))?\nAnswer: -493*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**3 - 2*z**3 + z**3 - 10*z.\nAnswer: -3*z**3 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y. Let j(l) = -5*l - 4. Let h(d) = j(d) - 4*q(d). What is h(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -a7 (base 11) in base 15?\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 102*(-2926)\/(-5412) - 55?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 235\/(-3)*10701\/(-615) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 - 36 + 31*m + 3*m**2 - 40*m. Calculate the lowest common multiple of d(9) and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z**6*z*z\/z**(3\/8))\/(z*z**(-2\/5))**23 assuming z is positive.\nAnswer: z**(-167\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 249665 + 14370. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1270 is divided by 28*8\/(-16) - -55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((90\/(-24))\/(-15))\/((-26)\/(-48)*-3)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 755 + -33219\/44. Is 1 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/308 and 81\/1372.\nAnswer: 15092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -11*a**2 - 76*a - 518. Let q(f) = 21*f**2 + 156*f + 1033. Let c(k) = 6*q(k) + 11*z(k). Determine g so that c(g) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0702, -0.4, -0.5.\nAnswer: -0.5, -0.4, -0.0702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 811 + -1516. Let u = -691.72 - p. What is u rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {z: 1, t: 1, a: 10, q: 7}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 2. Suppose 0 = 3*v - 5*v + 10. What is the nearest to 1 in m, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -665 + 0?\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -125\/216 and 7\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*f - 25*f + 35*f)*(-1 + 1 + 1) + 5*f - 2*f + 2*f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -8*r - 11*r - 6*r + 39*r - 11*r. Let w(s) = 70*s. Give w(p(m)).\nAnswer: 210*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 6*p**2 - 5 + p - p. Suppose -a + 0*a = 5*g - 216, -3*a - 144 = -3*g. Let b = -39 + g. Let z(v) = 3*v**2 - 2. Determine b*z(l) - 2*i(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4708 - 4702. Let q(z) = 3*z**3 + 10*z**2 + 7*z - 2. Let b(h) = -h**3 - 5*h**2 - 4*h + 1. Let r(i) = -5*b(i) - 2*q(i). What is r(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -41*r - 2. List the prime factors of o(-1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 22 - 20. Let y(c) be the third derivative of 0*c + 2*c**j + 0 + 1\/6*c**4 - 1\/30*c**5 - 1\/3*c**3. Factor y(d).\nAnswer: -2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dpbb when four letters picked without replacement from {b: 7, d: 1, p: 5}.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, z: 2, c: 1, h: 6, q: 4, m: 1}. Give prob of sequence cz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -3*y - y. Suppose 0 = 3*w - 3*u + 30, -6*w = -4*w - 4*u + 24. Let f be w\/(-28) + (-1062)\/(-7). What is the greatest common divisor of f and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 1:02 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/78, -0.57, -0.1, 3\/26, 1\/6 in increasing order.\nAnswer: -0.57, -0.1, 1\/78, 3\/26, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -176554 rounded to the nearest one thousand?\nAnswer: -177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*2\/(-4) + 1. Suppose -3*j + 18 = -s*j. What is the tens digit of j*(-4)\/36*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 7461*m**2 + 7456*m**2 - 44*m**3 - 48*m**3)*(2 - 2*m - 2).\nAnswer: 184*m**4 + 10*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - 24804?\nAnswer: -24803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.107  (b) -1\/1076  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-108)\/21*(-3 - 4). Suppose -12 = -6*m - s. Let o(i) = 5*i + 15. Let u be o(m). Sort u, -14, -1 in descending order.\nAnswer: -1, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -7 + -37 - (88 + -93)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 2*b = 4, -5*d - 2*b - b + 5 = 0. Let o(n) = n**3 + 2*n - 1. Let m be o(d). Differentiate 0 - m*t**3 + 0 + 1 with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 153 divide 260597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15 - -59. List the prime factors of r.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m*m**3)*m)*m**(-6))\/(m\/m**(-3\/4)*m**(-4\/5)))**(-17\/6) assuming m is positive.\nAnswer: m**(1343\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**5 + 5*j**5 - 3*j**5 + (-4*j - j + 4*j)*(-807 - 55*j**4 + 807).\nAnswer: 57*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 - 11*c**2 + 16*c - 10. Let g be h(10). Let u = g - 26. Suppose -2*q + u = -28. Calculate the highest common divisor of 39 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*p + 6*p**2 - 9*p - 7*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -7*k**2 + 6*k. Let s(r) = 4*r - 3*r + 6*r**2 - 7*r + r. Let n(h) = -6*s(h) - 5*y(h). Let b(w) = 2*w**2. Calculate b(n(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17445 + -22651?\nAnswer: -3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 153 divide 49266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + 14*y + 11. Let n be k(-11). Let b = n - -59. Solve 2*s + 22 = 4*l, -2*l = 5*s - 6*l + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 101720 and 2560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 4*j - 5*j = -8, -5*j = -10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-20) - ((-13482)\/(-60))\/(-7). Suppose 0 = -8*q + 4*q + 48. Solve -2*v = i - q, -f = -3*v - 3*i - 2*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-7)\/28 + (-10083)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/2  (b) 4  (c) 0.5  (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - 3) + 26 - 2. What is the greatest common divisor of k and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -4*h - 25. Suppose 0 = 4*q + u - 5, -u - 1 = 29*q - 27*q. What is the second biggest value in 2, 0.3, q, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xwwooqtottw. Give prob of sequence xo.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f*(f\/f**3)\/f)\/f)\/(f\/f**(2\/3)))**(-7\/2) assuming f is positive.\nAnswer: f**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*q**5 + 44*q**5 - 24*q**5)*(-2 - 2 + 3)*(-3 + 5 + 3).\nAnswer: -205*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 369836956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000074022 to 6 dps.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 4\/9*i - 4\/9*i**3 - 2\/9*i**2 + 2\/9*i**4 + 0 = 0. Calculate i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 308437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n\/n**(2\/27))\/(n**(4\/5)*n))\/(n**(1\/3)*n**7))**(-9\/11))**(-9) assuming n is positive.\nAnswer: n**(-3324\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus 1.709577?\nAnswer: 6.709577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n + n**2 + 3 - 6 + 3 to g*n**2 + l + h*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1368985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, p: 2, n: 2, c: 8, y: 7}. What is prob of sequence nnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(1\/10))\/m*m**(2\/17)*m\/((m*m**(1\/5))\/m)*m*m**(-4)*m)**(32\/3) assuming m is positive.\nAnswer: m**(-2672\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*g + s, g = 9*s - 5*s + 4. Factor 177*j**2 + g*j**4 - 2*j**5 - 3*j**5 - 8*j**4 - j**3 - 175*j**2.\nAnswer: -j**2*(j + 1)**2*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cpppqmupuupmp. What is prob of sequence uq?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (280\/(-84)*126\/(-245))\/(-9*(-3)\/252).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1+-7690.3832339656\nAnswer: -7689.3832339656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -23, -1, 999 in increasing order.\nAnswer: -23, -1, 5, 999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3*r**2 + 106*r - 1017. Determine p(19).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -91 - -17b1?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -18034, -36164, -54402, -72760, -91250, -109884, -128674, -147632?\n\"Answer: -2*d**3 - 42*d**2 - 17990*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4248 - 738?\nAnswer: 3710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 - 4*l - 1. Let y be s(-5). Let a(b) = b - 6. Let f(z) be the second derivative of z**3\/6 - 7*z**2\/2 - 29*z - 1. What is y*a(g) + 5*f(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 + 3\/3)\/1. Let v = j + -1. Suppose -n + o + v = -3, 5*o = 0. Solve 6*m - 3*m = n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**4 + 3*p**3 + 15*p**2 + 9*p.\nAnswer: -3*p*(p - 3)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/12)\/((-10)\/(-16)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -0.002.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 745872.6km in nanometers?\nAnswer: 745872600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ummmsmjuusupjjmmmuu. What is prob of picking 1 s and 3 j?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, o: 2, b: 1, s: 2, k: 1, x: 1}. Give prob of sequence bks.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 4486 = -5*b, -b = 5*y - 1405 + 499. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 533481878 to the nearest integer?\nAnswer: 23097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/3888)\/(3\/(-26610)). Let z = -5\/81 - t. What is the common denominator of z and -17\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 907449 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 166, 4, 5 in increasing order.\nAnswer: 4, 5, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 608 = 4*d + 602, 2*d + 5*l - 8 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001901074 rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 7534, -1, -3, 3 in descending order.\nAnswer: 7534, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 47 + -49 - (1 - -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 4, -23 - 2 = a - b. Suppose -3*u - 1 = -4*f, -6 = 3*u - 2*f - 1. Let t be 18480002\/14 - u\/a. Round t to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-240)\/(-42) - 6 - 32\/(-63). What is the smallest value in -5, i, -0.3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e - -403e15?\nAnswer: 403e23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -47*j**4 - 221*j**4 - 425*j**4 + (-8*j**4 + 0*j**4 + j**4)*(1 + 0 - 3) to b*j**2 + w*j**3 + x + q*j**4 + i*j and give q.\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/((-18)\/(-6)) - (23 + -19))*20\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -2*c - 1. Suppose -2*s = -3*g - 8 - 3, 4*s - 15 = -g. Let u(r) = -r - 2. Determine s*u(t) - 3*z(t).\nAnswer: 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f - 25 = -11*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2481506 to the power of 1\/2, to the nearest integer?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*c - 168 = -37*c. Solve c*v - 7 = 30*u - 29*u, 2*v - 17 = 3*u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(256)*-6)\/sqrt(2))**2 + 2.\nAnswer: 4610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -9*j - 11. Suppose -3180 = -16*b + b. Let n = 190 - b. Let o(l) = l + 1. Give n*o(q) - 2*t(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 PM and 3:10 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -60*j**2 - 71*j**2 - 2 + 67*j**2 - 127*j**2 - 5*j + 6*j to the form n*j + m + y*j**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f + 12*f - 121*f + 1020 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 + 84*k - 414. Calculate v(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**8*q)**(-40) assuming q is positive.\nAnswer: q**(-440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.0593 + -0.0007. What is the nearest to -1\/4 in d, -3, -1\/2, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -7*o**6\/60 + o**5\/10 + 13*o**3\/6 - 4*o**2. What is the units digit of f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 + 20. Suppose -4*b + 5 = -2*b + m, 4*b - 7 = -5*m. Sort s, b, 4.\nAnswer: s, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(102)*-1)\/(3*(sqrt(54) - sqrt(6))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xep when three letters picked without replacement from wpexpppkwkkkkwpkx.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 AM and 8:30 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -4\/127612201?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4586381537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -2*k**3\/7 - 1394*k**2\/7 = 0.\nAnswer: -697, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/100789287 and -52\/7?\nAnswer: 705525009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -a35?\nAnswer: -a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-107)\/(-2) + (21\/((-630)\/165))\/1.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1580.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 231497879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 4*a - 4. Let b be w(0). Is -11\/4 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 e when three letters picked without replacement from nnnnnennnnnnneennnnn.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 21391530607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v + 1. Let h = -6 - 1. Let m be f(h). Let d = m + 17. Is 3 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 395 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/21)\/(3\/42).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**4 - 3*l**3 - 2*l**2.\nAnswer: -l**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -60 + 28 + 46 + (2 - -25)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 1014.\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -53 + 53 + 6*y + (3 - 1 + 0)*(10*y - 11*y - 11*y) - 5*y + 3*y + y.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -414 + 756. Let h be 3 + (-254)\/q + -2. Let g = h - 2\/57. Which is the smallest value?  (a) 3  (b) 0  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -r**6\/720 + r**5\/24 - r**4\/12 - 4*r**2. Let a(u) be the second derivative of q(u). Determine a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 128663795?\nAnswer: 5, 13, 31, 63853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from exkeexexk. What is prob of sequence xxk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of -4*t**5\/5 + 6*t - 7. Find the first derivative of p(d) wrt d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2, 7, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 + 803*k - 12237. What is o(16)?\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 12:01 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7 - 7*n**2 - 626*n + 626*n wrt n.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*b**2 - 90*b + 97*b - 4*b**2 + 2*b**2 - 20*b**3 in the form a*b**2 + x + t*b + v*b**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 4 = s. Let x be -15*s*(-2)\/(-4). Suppose -2*g = -5 - x. Solve -t - 5*v = 2, v + g = -5*t + 2*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51276198?\nAnswer: 2, 3, 787, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2315 and 22245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1414109 by 23.\nAnswer: -61483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2690995 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*w + 5*w + w)*(0 + 2 - 1) + (-2 - 1 + 1)*(0*w + 2*w - 3*w) + 5*w + 4*w - 6*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:24 PM and 5:37 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 0.1, -0.7, 2 in decreasing order.\nAnswer: 2, 0.1, -1\/2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + f)*(130*f**3 + 960*f**2 - 960*f**2) - f**4 + 2*f**4 + 0*f**4 + (2*f**2 - 5*f**2 + 5*f**2)*(-f**2 + f**2 - f**2) + 0*f**4 + f**4 - 3*f**4.\nAnswer: 127*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bul when three letters picked without replacement from {f: 1, l: 1, g: 1, u: 2, b: 1, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 7, -1\/15, -150, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 11*k = -42. Let n be 24\/(-42) + (-3238)\/k. Let q = -313 + n. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -0.247\nAnswer: 1.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10943 + 1373 = -145*b for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7 + 8 + (-33)\/(-4) and 210\/(-4)*38\/(-171).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u - 2*m + 100148 = 0, u = -6*m + 9*m + 7144. What are the prime factors of u?\nAnswer: 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2424 is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15577943 to the nearest integer?\nAnswer: 3947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1162 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3101 is divided by 100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -39, -106, -219, -390, -631, -954?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a - 7. Let m(j) = -2*j + 15. Let k(s) = 4*m(s) + 10*w(s). Let n be k(5). Solve 4*c + n = 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*n = 9*n - 108 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f - 9. Let m be r(11). Let z be ((-1)\/m)\/(3\/(-30)). Suppose 0 = -20*d - 5*d. Solve d - z = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - ((6 - 5 - 5) + 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28.888 - 0.112. Is 2\/7 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i = x - 13*i - 82, 0 = -4*i + 16. Suppose 101*z - x*z = 35. Let l(o) = o + 2. What is l(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/8 of a centimeter in micrometers?\nAnswer: 31250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.02*4.73\nAnswer: 0.0946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -74381 (base 10) in base 5?\nAnswer: -4340011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.56561 rounded to two dps?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24765854973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8.1 + 19.1. Let m = l + -7.94. What is m rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -12*p + 28. Let t be (3\/(-4))\/(3\/(-12)). Suppose -5*d - 3 = -t*m, -m = -p*d + 5*d - 15. Solve z + 20 = m*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 24002 - -245?\nAnswer: 24251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 n when three letters picked without replacement from {n: 3, g: 2, p: 2, i: 2, x: 1, k: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v + 5*v - 4 + 3*v + 0*v. Let q be o(10). Suppose -1 = 5*x - q. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)*2*4)\/(sqrt(288)\/sqrt(9)) + 5.\nAnswer: 2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((sqrt(1573) - sqrt(1573)*3)*2 + (sqrt(1573) - (sqrt(1573) - (-5 + sqrt(1573)*1 - sqrt(1573)))))*5 + -3)**2*-3*3.\nAnswer: -5672601 - 130680*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 + 318*s - 323*s - 27 in the form r + w*s and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(s**(-2\/7)\/s))\/s**3)**(10\/11) assuming s is positive.\nAnswer: s**(20\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - (-13 + 7)) + -11 + 25 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1002744 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 28 + 38 = -3*o + 52, o - 322 = -46*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 640 = -2*x, 11*x + 5*i = 6*x + 1560. Let b = x - 613\/2. What is the common denominator of 2\/(-7)*(-3)\/36 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 + 25*n**2 - 45*n - 23. Let r be t(23). Which is the closest to r?  (a) 4  (b) 2\/11  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -4*o + 5. Let w be ((-66)\/330)\/((-3)\/(-10)). Let p = -187\/156 + -2\/39. Which is the third smallest value?  (a) o  (b) w  (c) p  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 187*n**5 + 6*n**4 + 369*n**2 + 5*n - 5. Let z(t) = 2*t**5 - t**4 - t**2 - t + 1. Let g(x) = w(x) + 5*z(x). Find the third derivative of g(k) wrt k.\nAnswer: 11820*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 7, 5\/434, -2\/29.\nAnswer: -1\/4, -2\/29, 5\/434, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 508941848 is divided by 309.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-20)*(-364)\/(-273))\/(-2)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 43*f - 41*f = 1764, 4*n - f = 2352. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -705.688?\nAnswer: 3528.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -14*v - 20. Let l(x) = 5*x + 7. Let t(k) = 6*c(k) + 17*l(k). Let r be t(5). Find w such that 6*w**2 - r*w + 0*w**2 + 6*w = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 + -21. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 59 - -176. What is the least common multiple of 5 and c\/45 + (-2)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -422 (base 5) to base 2.\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/11)\/(7\/(308\/12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**2 + 680 + 3781 + 57587521*a**3 - 57587530*a**3 with respect to a.\nAnswer: -27*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007734 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -379\/2 - -189. Let q = -8.155 - -0.155. Sort m, -2\/21, -1, q in descending order.\nAnswer: -2\/21, m, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7 and 563297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -111433.4 * 0.17.\nAnswer: -18943.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -90. Let d = w - -364. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*f + 6*f + 687*f**2 - 33*f.\nAnswer: 687*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 167522 and 6?\nAnswer: 502566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*r + 17*r - v - 0*v - 4*v + 113, 7*r + 2*v = -1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11001000001000 (base 2) in base 4?\nAnswer: -3020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + -12 + 32 + -4 + 50.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -164428, 1 in descending order.\nAnswer: 1, -2, -164428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -92*y**2 - 37268*y**3 + 4*y**5 + 37232*y**3 + 12*y**4 - 9 + 153 + 96*y = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 0.01  (c) -395\/82  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/5 + (-72)\/(-10). Let v be i\/(-2 + (-5)\/(-2)). What is the greatest common factor of v and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1031918  (b) -2  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 - -0.034773?\nAnswer: -42.965227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 245 = -3*h, 5*h + 0*h - 49 = -x. Let z be 515\/35 + 4 - (-14)\/x. Let u = 143 - 48. Calculate the greatest common factor of z and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 6*p**2 + 61*p - 1138. Let d be b(24). Calculate the highest common factor of d and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6972021, -6972030, -6972039, -6972048, -6972057?\n\"Answer: -9*f - 6972012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -14469469.8 rounded to the nearest 10000?\nAnswer: -14470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -580663746 divided by -237\nAnswer: 2450058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225379407 is divided by 590?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -13*c. Let g be 36\/27*(-27)\/12. Calculate l(g).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 461 + 119 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -156, -31, 94, 219, 344, 469?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -7830, -7820, -7808, -7794, -7778, -7760, -7740?\n\"Answer: t**2 + 7*t - 7838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**2 - 3*h - 29. Suppose 0 = -81*v + 406*v + 975. Let i(p) = -2*p**2 - 4*p - 30. Give v*t(r) + 2*i(r).\nAnswer: 2*r**2 + r + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3053507 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -456 to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -2*h**2 - 1127184*h + 2. Let o(x) = -2*x. Calculate o(u(l)).\nAnswer: 4*l**2 + 2254368*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add 6256 and -5.\nAnswer: 6251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/((h*h**(-1\/6))\/h)*h**(-11\/2))**(-45) assuming h is positive.\nAnswer: h**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2022 - -12020?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 13, g: 5}. Give prob of picking 1 g and 1 f.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuatatutxxu. Give prob of sequence au.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -7*b - 1. Let z(k) = -4*k. Let m = -45 + 48. Let f(u) = m*o(u) - 5*z(u). Calculate f(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9146 = -923*p + 26197 + 12653 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 37, -140, -625, -1574, -3143?\n\"Answer: -26*h**3 + 2*h**2 - h + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -243*t - 14 - 14 + 42 - 16 wrt t.\nAnswer: -243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1322904 and 151398.286.\nAnswer: 1474302.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -6*((-40)\/15 - -2). Let s(h) = h**3 + 2*h**2 - 11*h + 1. Is s(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-15 - -81 - 13) + 9 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = -29 + 29. Let q(o) = -o**2 + o - 8. Determine q(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 7 - (3 - -4 - (77 - 10 - 57)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 6*n + 531. Let a(l) = 7*l + 708. Let f(p) = -3*a(p) + 4*i(p). Let o(w) = 2523*w**2. Calculate o(f(x)).\nAnswer: 22707*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3725171341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0.5  (b) 6\/5  (c) 1110  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from heehehhhhhhhhhhh. What is prob of picking 4 h?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1050 and 1602.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*q + 54110 = 57370 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8 + -10)\/((-2)\/(-26)). Let i = n - -50. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3\/22)\/g**(2\/19))\/((g*g\/(g*g*g\/(g*((g*g\/g**(-8))\/g)\/g)*g))\/g*(g*g**(-2)*g)\/g) assuming g is positive.\nAnswer: g**(-2191\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 4*c + 5296, c + 1045 - 5273 = 4*o. Let q be o\/10*60\/(-18). Suppose -3*z = -4*y + 1170 + q, 2*z = 5*y - 1899. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -48*v + 289. Let i be u(6). Is 37 a factor of (0 - i)\/((-6)\/3738)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 622080899 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-9)*(-15)\/20.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*h**2 + 177*h**2 + 158*h**2)*(-13*h**2 - 4*h**2 + 4*h**2).\nAnswer: -4563*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 91893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -5\/18684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/3324 and -29\/3126222.\nAnswer: 6252444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1487?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -356441 (base 7) to base 9\nAnswer: -107678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 8:52 AM?\nAnswer: 436","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 12, i: 3, o: 1}. What is prob of picking 2 s and 1 o?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (14 + -11)\/((-6)\/(-10)). Suppose 4*o = 5*p - 130, -b*o + 13 + 13 = p. Let d = -4 + p. What is the greatest common divisor of 88 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 101 - (18 - (52 - 31) - 2) - -12?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18 - 19. Let k be 3\/30*10\/4. Let d = -11 + 13. Which is the smallest value?  (a) q  (b) d  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q**5 + q**5 + 3*q**5)*(-124 - 686 - 610).\nAnswer: -4260*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 113302006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2445918 is divided by 66.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 81062393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i**2 + 37*i + 114. Let j(k) = -k**3 + 9*k - 1. Let v be j(4). List the prime factors of o(v).\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 + 6*p**2 - 8*p + 7. Let h be j(5). Let l = 11 + h. Find the second derivative of -f - 2*f + 2*f**l - 4*f**3 wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29 - 10. Solve -f = -4*b - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -26329, -104842, -235519, -418360, -653365, -940534, -1279867?\n\"Answer: -26082*j**2 - 267*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 45\/(-40)*284\/426\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -14*x**3 + 92*x**2 - 3*x. Let f(z) = 5*z**3 + z. Give -6*f(n) - 2*p(n).\nAnswer: -2*n**3 - 184*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -3*l + 42. Calculate the lowest common multiple of 251 and l.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 265 = -5*i, q - 5*q + 1076 = 4*i. Let j = -139 + q. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 15*d**2 - 31*d + 47. Calculate g(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, o: 3, v: 5}. Give prob of sequence gg.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5459 is divided by 235?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13240430 + 30242?\nAnswer: -13210133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/(84\/(-9)))\/((-2)\/4). Put 5, 0, r in decreasing order.\nAnswer: 5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3350 + 637?\nAnswer: 3987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3\/4 - 99*v**2\/2 - 1089*v - 7986.\nAnswer: -3*(v + 22)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*m + 32*m - 18*m.\nAnswer: 59*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 5\/28, -1\/26 in ascending order.\nAnswer: -1\/26, 5\/28, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -873*n - 5231. Determine k(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/((o\/((o*(o\/(((o*o*o**(-11))\/o)\/o*o))\/o*o)\/o))\/o))\/o**(2\/5))\/((o*o**5*o)\/o**(2\/19)) assuming o is positive.\nAnswer: o**(447\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 2*l. Suppose l = -3*p - p. Let z(a) = -a**2 + 27. What is the units digit of z(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 57*a = 134*a - 80*a - 2, x + 38 = -7*a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*w**4 + 87*w - 296.\nAnswer: -20*w**3 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c**2*i + 6*c**2 - c*i*z + 3*c*i + 2242*c*z + 482*i*z wrt i.\nAnswer: -c**2 - c*z + 3*c + 482*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 179151009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -14?  (a) 2  (b) 13  (c) -2\/17  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 1. Suppose -2 - 4 = k*m. Let u = -721\/9 - -80. Put u, m, -2 in decreasing order.\nAnswer: u, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1711.812 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25\/4*r + 5\/4*r**2 - 15\/2.\nAnswer: 5*(r - 6)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89023139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 102308154535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 15902 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66)\/sqrt(44))\/(3*((sqrt(3) + sqrt(21)\/sqrt(7) - sqrt(3)) + sqrt(3))))**2*3*-6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 777 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: Let u be ((-30)\/(10 - 4) + 5)\/(-2). Suppose -5*n + 3*n = j + 13, 34 = -5*n - 3*j. Suppose -2*a = -4*p - 2, -p = -4*p + 6. Sort u, n, a.\nAnswer: n, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 0 - 4 + 4*k + 6 - 3*k. What is x(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 - -24. Let v = w + -13.1. Suppose 0 = 3*h - 3*z + 9, 4*z - 13 = 3*h - 0*h. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9383, 9382, 9381, 9380, 9379?\nAnswer: 9378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 8*b**2 - b - 4. Let r be h(-7). Suppose -2*n = 4*j + 2*n - r, 27 = 2*j + 3*n. Suppose 10 = 2*d - j. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of -3*s**2 - 31*s + 0 + 5\/12*s**4 + 0*s**3 + 2\/5*s**5. Let p(u) = 9*u**3 + 6*u**2 - 7. Give 6*h(q) - 5*p(q).\nAnswer: 3*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44309 - -55820. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1186132633?\nAnswer: 7, 31, 53, 151, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 255405850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 59\/9427269 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 4, 15*m - 13*m + 4 = 3*c. Suppose c = -4*o + 86 - 66. Let t(g) = g**2 - 2*g + 1. What is t(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**4 - 75*c**3 - 243*c**2 - 249*c - 84 = 0. What is c?\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -143751792, -143751788, -143751790, -143751804, -143751836?\nAnswer: -143751892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.12 from -5599131.\nAnswer: -5599131.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1453290 is divided by 931.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -653*q + 4*q**2 - 2 - 3*q**2 + 603*q - q**4 to the form m*q**4 + y + f*q + u*q**3 + v*q**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -35*g**3 - 4*g**2 - 29*g - 5. Is z(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 49 - 31. Let x = l + -12. What are the prime factors of (x\/15)\/(1\/15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14650778 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*t - 1058 = 3382. Let q = 111\/2 + -57. What is the smallest value in t, q, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 20\/(-6)*48\/(-40). Suppose f = 5*j - 7*j. Let v = j - -2. Solve y - 2*y + 5 = v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -860 - 827 - 8390*q**2 + 8379*q**2 + 1687.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4325579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(180) + -2)**2 + 1.\nAnswer: 24*sqrt(5) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - -5. Suppose 2*c - c - 4 = h. What is the highest common divisor of c and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126\/31 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8041236330?\nAnswer: 2, 3, 5, 89, 557, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of 7*m**3\/3 + 33*m**2\/2 - 17. Let y(l) = -7*l**2 - 34*l. Let t(q) = -3*v(q) - 2*y(q). Find the second derivative of t(c) wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + c - 4*c)*(7 + 20 + 12)*(1 + 3 - 5)*(13 - 13 + 6*c).\nAnswer: 468*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -101*f + 91. Let t(u) = -2*u + 36. Let w be t(20). List the prime factors of h(w).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50128 divided by 2?\nAnswer: -25064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 247399398642 - -4?\nAnswer: 247399398646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1231.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -308*q. Let m(g) = -12*g. Calculate m(b(h)).\nAnswer: 3696*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/12160 and -83\/2689792.\nAnswer: 13448960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -9920 rounded to the nearest 100?\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 665*d = 1475*d + 38880 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -52*(155380\/(-5525) + 28)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 18*l = -67, -15*v + 15 = -16*v - 5*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/6384 and -73\/278.\nAnswer: 887376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 45431\/21 - 2160. Calculate the common denominator of b and 21\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 44 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 29.7 or 0?\nAnswer: 29.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/5 - 324\/60. Let h be ((-6)\/(-4) - 0)\/(-3). Let d be (-1)\/5 - (-102)\/210. Which is the nearest to 0?  (a) d  (b) h  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 + 5*r - 5. Suppose v + 24 = -3*v. Let t be k(v). Is 6 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**4 + 43398*l**3 - 1216908*l**2 + 8522472*l.\nAnswer: 3*l*(l - 14)**2*(l + 14494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from untsnunsansun. What is prob of sequence un?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - -1) + (80 - 70).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**3 - 3*k**3 + 2*k**3)*(8 - 2 + 1) + (k - 3*k + k)*(-k**2 + 0*k**2 + 0*k**2).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*((-33)\/2)\/(-11). Suppose 0 = 5*r + 3*c - 19, -5*r = -r + c - 18. What is the closest to 4 in -2\/11, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26072000 to the nearest 100000.\nAnswer: 26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18047 and 6?\nAnswer: 108282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2884*w**3 + 2880*w**3 - 8645*w**3 + 2888*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.787 + -780.213. Let k = -781.00000688 - l. Round k to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 36\/10 + (-4)\/(-10). Suppose -g*z + 3 = -z - v, 3*v - 7 = z. Let x(j) = 4*j**3 + 1 - 3*j**2 - 3*j**3 + 2*j**z - 2*j - 2*j. Calculate x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 2*b - 2*w, 5*b - 4 = 3*w. Let a(j) = 4*j**b - 2*j**2 + 8*j**2 - 3*j**2. Let p(y) be the second derivative of -y**3\/6 - y. Calculate a(p(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 80\/99 and 58\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38948?\nAnswer: 2, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 123340263043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 7*d - 30. Let s be 3\/(-2)*d\/(-9). Let r = 6 - s. Solve -r*c - 4*a - 18 = -0*a, 4*c + 5*a = -18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 381 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 = 13*u + u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.626?  (a) -2  (b) 1\/3  (c) 34\/7  (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 967197?\nAnswer: 3, 7, 11, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k + 3*a - 21 + 5, k + 2 = a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0152538 less than 1.656?\nAnswer: 1.6407462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -5\/89 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 10:18 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 41141*c**5 + c**3*s**2 + 183*c**2*s**2 - 1031*c**2*s - 2*c**2 wrt c?\nAnswer: 2468460*c**2 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -29 or -8\/11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + -9. Suppose w = -k - 10, 5*w + k + a*k + 30 = 0. Let q be (-2)\/w + 27\/(-5). Sort q, -4, 2 in descending order.\nAnswer: 2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = l, 2 - 6 = -4*g. Suppose 4*a - 2*u + 5 = 5*a, 0 = l*a + 3*u - 18. Suppose 0*t - 30 = -5*t. Solve 4*v + a*k = -6, k - t - 2 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 152, 302, 462, 638, 836, 1062?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*i = 10, -9*k + 14 = -10*k - 3*i. Let d(w) = -3*w**2 - 2*w - 2. Calculate d(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*o - 15*o - 4*n - 38 - 4 = 0, n = -4*n for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 335759893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -46 - -74. Suppose 6*q - p = -q. Let y(j) = -6*j - 3 + 3*j**2 + j - 2*j**2. Give y(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 21*f**2 + 19*f + 2. Let s be m(20). Let x(w) = -w**2 - 29*w - 14. Is x(s) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -0*c - 48. Suppose -c*b = -5*b. Suppose b*w - 69 = -2*v + w, 3*v = w + 105. What is the highest common divisor of v and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 25.00564 and -0.1?\nAnswer: -2.500564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 743573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -8*h**2 - 125*h - 102. Let t be r(-14). Let z(m) = -m**3 + m**2 - m + 64. Let i be z(0). What is the highest common divisor of i and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = 3*r + 3. Calculate the remainder when 71 is divided by r\/4*(1 + (99 - 0)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (100 - 50 - 50 - 148*v)*(4*v - 4*v - v) to u*v + g + t*v**2 and give t.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1574 - 161a0?\nAnswer: -14a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -92 - -95. Let z(g) = 14*g + 9. What is the remainder when z(q) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 4*b**2 + 4*b - 1. Let x be z(-3). Let m be (276\/10)\/(20\/x). Suppose 0 = 2*y - 3*y - 3, 3*u + y - m = 0. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77)*3*-3 - (sqrt(77) + 3*sqrt(77)*4 + sqrt(77)))\/(sqrt(11) + sqrt(99) + (sqrt(99) - sqrt(99)*2) + sqrt(99) + sqrt(396)*-3))**2.\nAnswer: 529\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87\/2*l**2 + 183\/4*l + 177\/2 - 3\/4*l**3 = 0.\nAnswer: -59, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*r**4 - 96*r**2 + 52*r**4 - 61*r**4)*(2 + 3 - 3)*(r + 2*r - 5*r).\nAnswer: -60*r**5 + 384*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**2 - 23 + 13*d**2 - 4*d - 24 - 11*d**2 - 4*d.\nAnswer: d**2 - 8*d - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*2.1.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**5 - 180*n**4 + 68028*n**3 + 136580*n**2 + 68376*n = 0. What is n?\nAnswer: -154, -1, 0, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 63240 + -18671. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 - 13*k**2 - 14*k - 2. Let b be f(-12). Suppose -5*z + 5*n = -100 - 145, 0 = 5*z - 2*n - 230. Calculate the greatest common factor of z and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1944) - -5*sqrt(1944)) + sqrt(24))\/sqrt(8).\nAnswer: 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -1. Let j(z) = 6*z + 10. Suppose 0 = -i + 5*o + 26, -2*i + 1 = -5*o - 26. Calculate i*j(x) + 10*d(x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 440*p**2\/13 - 2326*p\/13 + 84\/13 = 0.\nAnswer: 2\/55, 21\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7ddc (base 16) to base 3.\nAnswer: -1122012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -201, 14, 0, 190, -5, 7 in descending order.\nAnswer: 190, 14, 7, 4, 0, -5, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6003570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -4 + 46 + (-1 - 0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -0.1  (b) -0.4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 2\/145?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-9) + 669\/27. Let z = x - 19. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 82.9 + -75. Let l = 10.9 - d. What is the closest to l in -4\/3, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of -v**7\/420 - v**6\/60 - v**5\/30 - v**2 - 4*v. Let n(j) be the first derivative of w(j). Suppose n(s) = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or -39\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 3*b = 3*y - 117, 0 = -4*y - 3*b + 156. Let n be 1\/(120\/y + -3). What is the derivative of 0*l**3 - 3*l**3 + 13*l**2 - n*l**2 + 1 wrt l?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and -2.02?\nAnswer: -8.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f + 2. Let g(u) = -u**2 - 19*u + 16. Let q(x) = 4*c(x) + g(x). Let d be q(-16). Solve d*s - 12 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-5)\/(z*z*z\/(z\/((z*(z**(-3)*z)\/z*z*z)\/z))))\/(z**2*z\/(z**5*z)))**(-5\/13))**(-50) assuming z is positive.\nAnswer: z**(-750\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 293, 284, 253, 188, 77, -92?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -2. Let h(g) = 2*g**3 + 3*g**2 - 2. Let w be h(1). Let o(y) = -y**j + y - y - 5*y + y + w. Determine o(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7158453.\nAnswer: 3, 73, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 699569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1\/6834 - -222119\/95676. Let x = 511\/4 - 681\/4. Find the common denominator of f and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-2*sqrt(405))**2 - sqrt(405))*-3 - -6*6*(sqrt(5) + sqrt(10)\/sqrt(2) + -2).\nAnswer: -14652 + 153*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -11111000?\nAnswer: -11111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-99)\/(-22)*(6 - (-1036)\/(-120) - (-45)\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - -1435424?\nAnswer: 1435425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together 271.999 and -2162.\nAnswer: -1890.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(5 + (sqrt(19) - (sqrt(171))**2) + 4).\nAnswer: -3*sqrt(19) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 6, 14, 4 in ascending order.\nAnswer: -4, 4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163 = -5*f + 12. Suppose 5*c - 4*c - f = 0. Let t be (2 - (-7)\/(-4))\/(-1) + 1386\/264. Calculate the highest common divisor of t and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -73.25 and -0.4411772624.\nAnswer: -73.6911772624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -4*u - 5*a, -4*u + 3*a = -5*u + 14. Suppose o - 2 = -2*g, -6*o + 3*o + 6 = -u*g. Solve o = 3*f - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -86 - -83. Let r = -17.45 - -50.45. Which is the second biggest value?  (a) p  (b) r  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -11*f + 3. Determine p(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3349\/60 - 282\/5. Let z = -11\/54 + 2\/27. Calculate the common denominator of z and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8008 is divided by 889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 2*m + 132, b + 5*m = 4*b - 99. Suppose s - b = -2*s. Calculate the greatest common divisor of 77 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z = -4*z + 45. Let b be 140\/25 + (-6)\/z. Suppose -b = -5*x - 16. Is -5\/9 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13.9 - 11.1. Let s = p + 24.999536. Round s to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 81 + -65. Solve 2*n = -2*n + z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12474 and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -7*r + 9. Suppose -4*k = -20 + 64. Let g(q) = 4*q - 5. Calculate k*g(w) - 6*v(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/11, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4871 - 521 = -152*k + 5*k - 27*k for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + d = -4188, 11*j + 1396 = 12*j - 2*d. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 + 20*n + 49. Let x be z(-17). Let l be ((-11)\/x + -6)*(-8)\/2. Let q(h) = h**3 - 3*h**3 + 2*h + 3*h**3 - 2*h**2 - 1. Calculate q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50 - 36. Find the common denominator of 58\/5 and (36\/v)\/(-2) + 2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*s + 5*y = 5*s - 35, 0 = 4*s + y + 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 232 - 2\/4*2. Suppose 5*r - 2*r - j = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -21133698\nAnswer: 21133698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1451*c + 2094*c - 255*c + 322*c + 704*c)*(0*c - 3*c + 2*c).\nAnswer: -4316*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 - (-398048 - 90\/18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/60)\/(3\/120*10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1595*j = 3285*j + 2166*j + 330999 + 310187 for j.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3908 divided by 7\nAnswer: 3908\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of h**4\/54 - h**3\/9 - 4*h**2\/9 + 10*h - 22. Let g(z) be the first derivative of d(z). Factor g(l).\nAnswer: 2*(l - 4)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**2 + o**2 - 7*o + 7*o. Let h(t) = 23*t**2 - 17*t. Let a(u) = 8*u**2 - 6*u. Let j(r) = 17*a(r) - 6*h(r). What is j(w(x))?\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8.7822 - -2.7822. Put -4, -1\/11, c, -263 in decreasing order.\nAnswer: -1\/11, -4, c, -263","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 25*o**2 - o + 20. Calculate a(3).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 2*y**3 + 44*y**2 + 16*y + 75. What is o(-22)?\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4\/3)*u*u)\/u**(1\/10)*u*u\/(u**(2\/13)*u*u)*u*u\/u**2 assuming u is positive.\nAnswer: u**(161\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(2\/5))**(-8\/3)\/(g\/g**(-3)*g\/(g*g**(-7))))\/((((g*g**5\/g)\/g)\/g**(2\/29))\/(g\/(g*g**(-1\/3))*g**(-1\/7))) assuming g is positive.\nAnswer: g**(-18751\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -10184 at most as big as -3.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {k: 3, j: 3, g: 2}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 + 0*f**2 - f**2)*(-10*f**2 + 10*f**2 - 5*f**3) + (-105*f**4 + 110 - 110)*(0 + 0 - 2*f).\nAnswer: 215*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - c**2)*(-6*c + 3*c - 4*c**2 + 2*c) as d*c + w*c**2 + r*c**4 + x + k*c**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -370313.9 + 370314.3000386. Let a = 0.4 - t. Round a to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = x - 62, -276*f - 7*x = -274*f - 429 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -360 = -7*v + 2*v. Let c = 20 + -80. Let k = c + 68. Calculate the highest common factor of v and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(150))\/sqrt(3) - (-2 + sqrt(5000)).\nAnswer: -45*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -413\/6 - -66. Let y = h - -25\/6. Factor 0*c**3 + y*c**4 - 2\/3*c**5 - 4\/3*c**2 + 2\/3*c + 0.\nAnswer: -2*c*(c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2. Let y(o) = 102543*o. Give y(q(p)).\nAnswer: -102543*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 77494 - -0.5262?\nAnswer: 77494.5262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, g: 5, t: 6, b: 2, l: 1}. What is prob of picking 1 g and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 + n**2 - 2*n**2)*(2*n - 2*n + 2*n**3) + (n**4 - 2*n + 2*n)*(5*n - 6*n - 4*n).\nAnswer: -9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 8 = 2*t, -3*x + 4*t + t = -10. Solve 3*l = -x*n - 8, 0 = -0*n - 3*n + 3*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -10*f**2 + 3*f + 3. Let c(z) = -21*z**2 + 5*z + 5. Calculate 6*c(w) - 10*o(w).\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3373945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17.6 and -58.5.\nAnswer: 1029.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 11 = -4*t - 15, 0 = -o + 5*t + 28. Solve o*f - 3*y = f - 6, 4*f = 3*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -200000 + 1021112221?\nAnswer: 1020312221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -87*b**2 + 1. Let i(o) = -91675 + 3*o + 91675. Determine i(t(z)).\nAnswer: -261*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 233486246 - 698006246. Round l to the nearest one million.\nAnswer: 116000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 10:32 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ef4f4d (base 16) in base 13?\nAnswer: 333172a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 10 = -2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -2*sqrt(243) + 4)*-5)**2.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -149599*o + 1101. Is f(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 3 = 3*q. Let b = q + 7. Find the second derivative of -4*s**5 - b*s + 20*s**3 + s - 20*s**3 wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -80, -168, -246, -302, -324, -300, -218, -66?\n\"Answer: 2*c**3 - 7*c**2 - 81*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s + s + 12*s + 6*s - 21*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -18, -43, -78, -123?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6516*n - 114643 = -1359*n + 2446*n + 98241 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 44\/132 - 171592\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2078 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 3337*k - 30 = 3334*k, -3*x - 24 = 3*k for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = -u + 8, 242138*u - 242140*u = 6*g + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -4*r - 85. Calculate i(-5).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 2030242.\nAnswer: 2030236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {u: 1, i: 3, a: 1, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 - -15.02. Let i = w - 0.53. Let k = 0.51059 + i. Round k to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26200*q**3 + 45870*q wrt q?\nAnswer: 157200*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -562 + 2626. Does 16 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -818921983*o**3 + o**2 + 818921975*o**3 - o**2.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do 195 and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*u - 49*u - 101*u.\nAnswer: -143*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-20))\/(13\/(-910)*-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, t: 5}. What is prob of sequence ll?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 332*z**2 + z - 5. Is x(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0*(0 - 1)*1. Let a(s) = -s**2 + s + 5. Let g be a(f). Suppose -3*d - 11 = 5*u + 9, 3*u + 12 = -g*d. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79087 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-17)\/m*m)\/m**(-6\/13)*(m\/m**35)\/m**(-18) assuming m is positive.\nAnswer: m**(-423\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (8 + -1 - (-24 - -29)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5068 and 178.\nAnswer: 451052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l + 2. Let h(r) = -3. Let o(z) = -6*h(z) - 7*s(z). Suppose -4*y - 1 = -17. What is the remainder when o(y) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/(-10))\/((-8)\/32))\/(8\/(-15)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -1133*r + 6748. Let j be p(6). Which is smaller: -85 or j?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 5. Let o(k) = k - k - j*k. Let m(v) = v. Determine m(o(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 33456 and -1081.\nAnswer: -36165936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aeu when three letters picked without replacement from auuqaaaefauqaq.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.669501809 rounded to 3 dps?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 74.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, -2852, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1200 (base 3) to base 11\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30732 by -7683.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 131\/148841 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 2 - -2 - (7 + 3 + -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 1:28 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 AM and 5:24 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 72 and -3936?\nAnswer: 4008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3288*u + 32928 - 9896 = -32864 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 2293386?\nAnswer: 4586772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9053263441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/6029?  (a) -7  (b) 3  (c) -1\/2  (d) 3\/7  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129 = 44*w - 173 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -4, -52, 0 in descending order.\nAnswer: 3, 0, -3, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 37667 - 37672. Which is the nearest to 2?  (a) 4\/5  (b) 1  (c) 11.5  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-54)\/(-72)*4*(-1)\/(33\/2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19)\/2)\/(((-784)\/32)\/(-49))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2\/3  (b) -2\/25  (c) 1\/4  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14139240 divided by -2958.\nAnswer: 4780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 111187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and -19160.95.\nAnswer: -134126.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18008 - 11291. List the prime factors of n.\nAnswer: 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 4*d + p - 448, -5*p = -4*d + 436. Suppose -2*w - 38 = -d. Let t = w - 28. What is the remainder when 28 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -2. Let w = -6 - t. Let b be 4\/((-64)\/(-4))*6. Put 5, b, w in descending order.\nAnswer: 5, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x - 47. Let i be l(-18). Let n(o) = 2*o - 7. What is n(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 0 - 5\/3*t**3 + 0*t**2 + 0*t**5 + 0*t**4 + 8*t - 1\/10*t**6. What is the second derivative of c(y) wrt y?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3\/8  (b) -16  (c) 0.2  (d) 249  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6507 + 16668. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1236\/78 - 6\/(-39). Suppose -z*t = -11*t - 65. Let h(v) = -v + 2. Let j be h(-5). Solve -j = 4*o + t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 294, 2375, 8020, 19011, 37130?\nAnswer: 64159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 5*v**5 + 19*v**4 - 139*v**3 + 217*v**2 - 118*v + 16 = 0.\nAnswer: -8, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*i + 6*a + 6, 0 = -5*i + 4*a - 14540 + 14532 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5724\/(-204) - -72) + -41. Find a such that z + 52\/17*a + 2\/17*a**2 = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-36)\/(-1458) - (-3884)\/162. Solve 4*c = -28*i + p*i, 5*i = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21010200 + 112200001022?\nAnswer: 112101220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 19. Let m = u + -2. Which is the biggest value?  (a) -2\/3  (b) -0.1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -50\/356729 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 244039 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/(-4))\/(7\/(-28) - -1). Suppose -22*w = z*w. Solve 0 = r - w*r - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28 and 2422.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7999 divided by 4738.\nAnswer: -7999\/4738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -596 by 13925.\nAnswer: -596\/13925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.089057 grams?\nAnswer: 89057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 6*c**2 - 7*c + 5. Let n = 13 + -20. Determine q(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 8:00 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/2 - 0\/(-1). Let x = -0.82 + -0.18. What is the third smallest value in b, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*q**2 - 2*q**3 + 4*q**2 + (q**2 - 2*q**2 - q**2)*(-q + 0*q + 3*q) + q**3 + 2*q**2 - 2*q**2 + 3*q**3 + 0*q**3 + 0*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 34 = -3*z - 5, -3*a + 51 = 3*z. Let y be (7 - 5)*(-2)\/4. Let w = a + y. Solve w = 5*i + 4*p, 2*i - 6 = -3*p - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92 + 92 + 0*x + 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**2. Let t(o) = -262*o + 2. Give g(t(z)).\nAnswer: -137288*z**2 + 2096*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 3\/8  (b) 3  (c) 2\/91  (d) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -48*a - 88. Let m be w(-4). Let s be -6*(3\/6 - 1). Let i be 11\/3*s + 2. What is the greatest common factor of i and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17 + -9. Let k = -7 + a. Let g = k - -7. Calculate the greatest common divisor of 88 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w + 22. Let t(a) = 2*a - 33. Let h(n) = -8*q(n) - 5*t(n). Let k be h(0). Let r = 19 + k. What is the greatest common factor of r and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55 + (5 - 24) + 44 + 4 + 2.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 2961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 188535680 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64665 is divided by 64625.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {d: 7, h: 4, u: 2, b: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -119419, -238867, -358315?\n\"Answer: -119448*v + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 1. Let k be g(-1). Suppose 3*q + k = -6. Let u = -2.74 - 0.26. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*2866.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.340068 - -0.34. What is d rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -14681091607498?\nAnswer: -14681091607502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 2:15 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -32*v + 13566. Let a(m) = -6*m. Calculate a(z(g)).\nAnswer: 192*g - 81396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 5) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -27*s**3 + 30423*s**2 + 657678*s + 144648 = 0.\nAnswer: -21, -2\/9, 1148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 39 by -22166006.\nAnswer: -39\/22166006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/((x**(7\/10)*x)\/x)*x*x**9*x)\/(x**(2\/101)\/((x\/(x\/((x\/(x*x\/(x*x**10)))\/x*x)))\/x*x)))**(-5\/6) assuming x is positive.\nAnswer: x**(-21493\/1212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2202816, -5, -254 in increasing order.\nAnswer: -254, -5, 2202816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9423 and 11914860?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 172, -2, -0.5, 0.1 in decreasing order.\nAnswer: 172, 0.1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -134.65 - -131. Let d = b - -1.65. Which is smaller: -23 or d?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of 52\/9*m**2 - 8\/9*m**3 - 1\/54*m**4 + 0 - 211*m. Suppose r(b) = 0. What is b?\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 120353*i. Let t(n) = -n. Give g(t(q)).\nAnswer: -120353*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-24)\/(-18))\/(28\/105) - 2. Let r(v) be the second derivative of 0 - 4\/15*v**o + 11*v + 4\/15*v**4 + 3\/50*v**5 + 0*v**2 - 3\/25*v**6. Solve r(z) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -12, 10, -26\/111, -2\/15 in ascending order.\nAnswer: -12, -2\/5, -26\/111, -2\/15, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*k**4\/5 + 2708*k**3\/5 + 7592*k**2\/5 - 4092*k\/5 - 6192\/5 = 0. What is k?\nAnswer: -3, -3\/4, 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of -k**5\/20 + 7*k**4\/24 - k**3\/3 - k**2 + 412. What is d(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3\/5 + 36714*y**2\/5 + 114674868*y\/5 + 2858771448.\nAnswer: 3*(y + 130)*(y + 6054)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-156)\/27 + 6)*(-18)\/(-8). Factor 0 - 1\/4*t**3 - 1\/4*t**2 + q*t.\nAnswer: -t*(t - 1)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41097 (base 11) to base 16.\nAnswer: -ea61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31733197 a multiple of 1520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of -b**3\/6 + 7*b**2\/2 - 3*b. What is the remainder when 27 is divided by i(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 103616?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 4:42 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -304\/51 in -1\/7, 27, -23?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 0) + (3 - 0) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39 + -38.3. Suppose -19 = -4*h + z, 0*z + 5*z + 20 = 5*h. Let t be (-3)\/(-3) + h\/(-4). What is the third biggest value in t, b, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 13\/3, 3\/20, 0.045, 3, -2, -2\/3?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 3 - 5. Suppose 2*f = -0*f - o*h - 14, -5*f + 4*h + 21 = 0. Let m(z) = 3*z**2 + z + 1. Calculate the smallest common multiple of m(-1) and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - g = -31, 64 = 4*f + 2*g + 24. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6548*g**2 + 1711*g**2 + 2440*g**2 + 2425*g**2.\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -2583.\nAnswer: -2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101000101001 - -10010111?\nAnswer: -11100110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 122268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-21)\/(-2))\/((-3)\/(-4)). Suppose -6*r + f + 10 = 0. Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3504 by 8.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 2*x - 28 = -0*x, u + 3*x = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 20 = 2*r. Let k(d) = 4*d - 8. Is 4 a factor of k(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2*sqrt(114)\/sqrt(294)*-2 + -3.\nAnswer: -4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 4*o + 3. Let m be (-12)\/(-14) + (440\/(-56) - -8). What is g(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*b = -3 + 1, -3*i + 5*b = -39. Let y(o) = o**2 + 7*o. Let w be y(-6). What is the units digit of i\/w*(-12)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 27. Let y = z - -11.054. Round y to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 16) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-103 - -61) + (285\/3)\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -179 + 216. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1281 greater than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0*(8\/(-20) + (-3)\/5). Suppose x = -b - d + 1, 2 = 2*b + 3*d + 5. Solve -l = -2 + b, 4*l = -j - 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (17 - ((-30 - -10 - -12) + 57))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23532540?\nAnswer: 2, 3, 5, 392209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 94 + -80. Calculate the remainder when y is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2800)*2*2 + sqrt(2800) + 3*-2*sqrt(2800))\/((sqrt(24) + sqrt(48)\/(sqrt(6)\/sqrt(3)))\/((sqrt(96)*-1 - sqrt(96)) + sqrt(96) - sqrt(96))))**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4062*k**4 - 894*k**3 + 15587627*k**2 wrt k?\nAnswer: -97488*k - 5364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 218*k**2 - 152*k + 32927. Calculate u(218).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (81\/15)\/((-3)\/(-15)). Let p be ((-1)\/(-3))\/(1\/b). Let s be (-3)\/9*p\/12. Put 2, -5, s in increasing order.\nAnswer: -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -323 + 3123010?\nAnswer: 3122132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 17290363 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3 + 3*g - 2*g + 3. Let q(t) = -13*t**2. What is q(c(j))?\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*w - 3*t = -33*w + 1, 14 = 4*w - 2*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2.5 * -35.63\nAnswer: -89.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s - 546. Let x(m) = 3*m + 1086. Give 7*i(g) + 3*x(g).\nAnswer: 2*g - 564","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 21 + 38 - (2 + 114)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -988350 != -988346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 262416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 3*m = 2*a - 32, 3*a = 3*m + 18. Find the second derivative of 28098*g - 7*g**5 - g**2 - a*g**5 - 28092*g wrt g.\nAnswer: -340*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -49*n - 195*n - 441*n**3 - 162*n + 21*n + 78*n wrt n?\nAnswer: -2646*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -41*s + 4. Let t be b(-1). Suppose -t = -6*z + 3*z. Let g(u) = 7*u + 1. Let p be g(2). What is the greatest common divisor of p and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 44846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 22.65894 micrograms?\nAnswer: 22658.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 125 - 125.08. Which is the third smallest value?  (a) 2\/11  (b) l  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2303603?\nAnswer: 107, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 147*t**3\/2 + 54727008*t**2 - 93817809*t\/2 + 10051911.\nAnswer: 3*(t + 744586)*(7*t - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.944 * -0.3.\nAnswer: 0.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10111011 + 2202022121?\nAnswer: 2212210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 0.15, -0.3, 15.8?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5244)\/684 - 8\/6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 23.98*-0.11\nAnswer: -2.6378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/(-6))\/((-7)\/(-4)). Let v(c) = 2*c + 9. Let l be v(-4). Is l at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2\/33)\/((((b\/(((b**(-2\/15)\/b)\/b)\/b))\/b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(-362\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -14 times -1.7213\nAnswer: 24.0982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -183, 3, 19, 0.02, -47, -2, -4 in descending order.\nAnswer: 19, 3, 0.02, -2, -4, -47, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50581 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -19. Is 4 != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -3*f**3 + 8*f**2 + 4*f + 8. Let g(s) = -5*s - 15. Let k be g(-2). Let w(r) = -2*r**3 + 5*r**2 + 3*r + 5. What is k*q(n) + 8*w(n)?\nAnswer: -n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 9268.39ns?\nAnswer: 0.00000926839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 215050 divided by -1.\nAnswer: -215050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01*-1575.\nAnswer: -15.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*n - 32525 + 9237 = 0. Calculate the remainder when 580 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -380 + 244?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 508, 670, 1000, 1546, 2356?\nAnswer: 3478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s\/(s\/(s**3\/s*s)))\/(s**(-4\/3)\/s))**(19\/5))**(3\/13) assuming s is positive.\nAnswer: s**(361\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8.9 - 4.7. Let k = f + 0.8. Let n = k + -6. Are n and -0.04 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 131688 and 1725832?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -227732\/29519 - -2\/4217. Let x = -239519\/5914 + 1\/2957. Calculate the common denominator of x and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62037 is divided by 85?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 10, -4*l = -8*l - 2*m + 310. Suppose -5*y + l = -90. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3194 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1042*q**5 + q**3 + 892*q**2 wrt q?\nAnswer: 62520*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -127*z**3 - 3*z**2 - 3*z + 3. Let q(f) = -9145*f**3 - 217*f**2 - 217*f + 217. Calculate -217*g(v) + 3*q(v).\nAnswer: 124*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4499981539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k + 3250*k**3 + 3109*k**3 + 6*k - 642*k**3 + 13*k.\nAnswer: 5717*k**3 + 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-90)\/(-300)*(-2)\/6*(-12)\/15?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.38829803059 rounded to 5 dps?\nAnswer: -0.3883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -3100290 to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 317 + -315. Solve -z = f + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-1)\/(-1)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 12:30 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of -u**4\/24 + u**3\/2 + u**2. Let k be h(-5). Let l = 302 - 270. What is the highest common divisor of l and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*a = -q + 20*a - 8, 0 = -17*q - 4*a + 248. Solve -5*m + 4*c = m + 24, 5*c - q = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9 + 6)*2\/(-3). Solve c = -a*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-4)*(-24)\/42\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2e (base 15) to base 11.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 10*m - 3 - 5*m**2 + 9*m**2 + 1. Is i(-7) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 396954 and 342?\nAnswer: 7542126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) - -1*sqrt(75))*6)**2 - (3 + (-1*sqrt(75) - sqrt(75))) - ((sqrt(60)\/sqrt(5))\/sqrt(4) - (-1 + sqrt(12))).\nAnswer: 11*sqrt(3) + 10796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 8, m: 4, g: 2}. What is prob of picking 2 g and 1 l?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/2727151 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 14873*h**3 + 3614*h**2 - 1807. Let f(o) = 8*o**3 + 2*o**2 - 1. Give -10842*f(n) + 6*z(n).\nAnswer: 2502*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7614 divided by 141.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 533139391 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 2. Let o = -3.92 + 3.82. Which is the closest to t?  (a) 1\/3  (b) -0.3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.69+-39961.648\nAnswer: -39955.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 3)*(139*l**3 - 1283*l**2 + 1283*l**2 + (-l - l + 0*l)*(2*l**2 + 0*l**2 + 0*l**2)).\nAnswer: -135*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 16\/(-40) - (-2)\/5. Let o = 5 + -1. Let i = o - v. What is the remainder when 15 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 2*q + 4. Let i be p(-3). Let b(d) = -d + 1. Let f(z) = 2*z**2 - 6. Let a(k) = i*f(k) + 6*b(k). Find the second derivative of a(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 260 divide 879580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.8 + 1.1. Let u = d - 0.5. Let n = -29\/2 + 15. Which is the third biggest value?  (a) 4\/7  (b) u  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, j: 6, d: 10}. What is prob of picking 1 d, 1 r, and 1 j?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a - 4. Let z be p(6). Suppose -28 = -4*k + 5*r, z + 4 = -k - 2*r. Suppose w**k + w + 2 - 2 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r**3 + 34396*r**2 - 73925600*r - 73960000 = 0. What is r?\nAnswer: -1, 4300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -22 + -431bb?\nAnswer: -431dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000030051625 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*g**2 + 20*g**2 - 11*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + 13082.984.\nAnswer: 13096.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 + 358. What is the remainder when 56 is divided by v\/8*(-2)\/(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -418 divided by -11532?\nAnswer: 209\/5766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.099, -0.36, -0.56?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 + 0)*((95 - (44 + 33)) + (0 - 21)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 114332 (base 8) to base 12\nAnswer: 1a78a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2653818 by -6618.\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -7*o**5\/4 - 17*o**4\/2 + 2*o**3 - 152*o**2. Factor d(t).\nAnswer: -3*(t + 2)*(35*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 PM and 10:59 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of -5\/6*k**3 + 1 + 1\/12*k**4 + 0*k + 5\/2*k**2. Let q(v) be the second derivative of d(v). Differentiate q(u) with respect to u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - (-2*sqrt(70) + sqrt(70))))*-2)\/((sqrt(360) - sqrt(360)*-2) + sqrt(360)) - ((sqrt(7)*-1)**2*-2 + 3)*-5.\nAnswer: -55 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/((4\/2)\/10). Let s be (4\/(-5))\/((-4)\/t). Suppose 4*p - 11 = -g, 29*g - 24*g + 29 = p. Which is greater: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24500*o = -24516*o + 80 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -408*q - 23. Let y(x) = 204*x + 13. Give 6*m(i) + 11*y(i).\nAnswer: -204*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -1\/2, 1\/7, 43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o**2 - 6240*o - 1946880 = 0.\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 3)*(-7*w - 7*w + w) + 2*w - w - 2*w.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 4 - 56. Let f be (-6)\/5*a\/6. Suppose -y = -f*y + 33. Calculate the remainder when 41 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36.5 + 37. Suppose 0 = -5*y + 20, d + 2*y + 12 = 4*y. Which is the second biggest value?  (a) 2  (b) d  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*j - 8*j - 6*j + 6*j.\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 + 6*p**2 + 6*p + 15. Determine v(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1021100010022 (base 3) to base 12.\nAnswer: -287168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-2\/17)\/f)\/f**(-3\/4))\/((f*f\/(f*f**(1\/8)\/f))\/(f**(-4)*f)))\/(f*f**(3\/5)*f**(-10)\/f)**30 assuming f is positive.\nAnswer: f**(37639\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 11462*q**2 - 2*q - 5 - 11459*q**2 - 174*q**3 + 5 in the form p*q**2 + v*q**3 + i*q + d and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*z + 3629 + 3297 = -65*z - 3635 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-25)\/15 + 2 + (-991)\/(-825). Let u be 4\/14 + (-804)\/462. Let x = u + o. Is x > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-148 + 9*g - 5*g + 164)*(6 - 5 - 2)*(1 - 1 - 2*g).\nAnswer: 8*g**2 + 32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3624024 to the nearest integer?\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**2 + 3*d - 3. Suppose 0 = -3*i - 1 + 10. Let n be r(i). Let g = n - -28. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104724 is divided by 12365.\nAnswer: 5804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 94709 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 + 90*y + 9888. Calculate g(-64).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.7  (b) -0.3  (c) 3  (d) -5  (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -445, -4\/7, -161, -0.15?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -193 + 169. Let d be (-88)\/h - 4 - (-50)\/6. Put 0, -4, -2, d in decreasing order.\nAnswer: d, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, x: 7, v: 1}. What is prob of picking 1 x and 1 v?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = -0*c - 5*j + 7, 0 = 5*c - 3*j - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 11 = j, -j + 5*j - 2*b = -44. Let r = -7 - j. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2*c + 24 = 0, -20 = -3*n - c - 4. Suppose -4*r + 1858 = 2*p, -r = -2*r + 3*p + 461. Let s(o) = -o + 2*o - 474 + r. Determine s(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + 217. Suppose -60 = 5*n + l. Let u = 80 + n. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 63 - 63. Suppose -6*t + 10 = -t. Suppose 14 = 7*j - 2*j + 3*x, x = -t. Solve y = -g - g + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 124346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + 16)*3\/(-18)*-2. Suppose -27 = -z*w + 3. Suppose 99 = -w*h + 7*h - g, -104 = -h - 4*g. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 - w + 3. Let h be x(-2). Let p be 12\/30*h\/(-6). Is p greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccck when four letters picked without replacement from {k: 1, c: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 + 4*p**2 - p + 3. Let g(m) = -m**3 + 6*m**2 + m. Let o be g(6). Let c(w) = -w**2 + 8*w - 8. Let t be c(o). What is n(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 253 = 47*z - 246*p + 249*p, -2*z - 5*p = -498 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 271 is divided by 65.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/(sqrt(16)\/sqrt(4) - sqrt(4) - sqrt(4)) - sqrt(153)\/(-1*sqrt(9)))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 313385*v - 17549563. What is s(56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 93*b = 86 + 187, 0 = -3*k + b - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64 + 13*j + 64 - 44*j**2 + 7*j - 38*j**2 - 25*j.\nAnswer: -82*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 171520 (base 11) to base 14.\nAnswer: 6ca80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1049376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000694 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 21. Which is greater: 0.9 or o?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 - 15*n - 22. Let t be q(-13). Sort 67, t, 0 in decreasing order.\nAnswer: 67, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*a = -172*a + 748340. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of -7*g**4\/12 - 3*g. Let m(p) = 7*p**2 - 30. Let l(u) = -169*u**2 + 715. Let w(i) = -6*l(i) - 143*m(i). What is w(n(s))?\nAnswer: 637*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88 + 82 - 175 + 2*x.\nAnswer: 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 69343 and 2567?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -115*z - 8029 + 11709 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (36\/45)\/((-35)\/25)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/619?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/3 of a hour in seconds?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 46, 97, 118, 73, -74?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h = -15*h - 8. Let x(r) = 3*r**2 + 2*r - 4. Let k be x(h). Suppose 5*f = k*f + 28. Solve f = -5*b + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16793 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*b - 11*b - 71. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*s + 8*s - 16*s + 7*s**3 wrt s?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 3:27 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6620 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 + 24*f - 3 + 6 - 4 + 15 as y*f + o and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/19365 and -61\/42603.\nAnswer: 213015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 - -1. Let q = 65 - p. What is the highest common divisor of q and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 396*w - 2789. Give d(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 398*c**2 - 3*c + 1449.\nAnswer: 796*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 40194, 40262, 40330?\nAnswer: 40398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 127154228\/5 <= 25430847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -341*y**2 - 77*y - 77. Let b(h) = -22*h**2 - 5*h - 5. Give -77*b(z) + 5*s(z).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 6 - 2 + 6 - 2 + (3 - 3 - 2)*(2 - 1 - 3) + 1 - 2 + 0 - 4 + 0 + 1)*(4*f + 3*f - 5*f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18034, 72415, 163142, 290209, 453610, 653339, 889390?\nAnswer: 1161757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49\/84*(-285)\/58520*66?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times 497\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2172691, 4345380, 6518069, 8690758, 10863447?\nAnswer: 13036136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14806 is divided by 435?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 299.\nAnswer: -119.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -8. Let k = -122 - -118.33. Let z = k - 0.33. What is the second biggest value in 4, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 25*h**2. Let x(v) be the third derivative of -1\/24*v**4 + 14*v**2 + 0*v + 0*v**3 + 0. Determine y(x(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 + s. Let k(j) = -2*j**2 + 11*j. Let g(x) = -x**2 + x. Let a(t) = -6*g(t) + k(t). Let h(r) = a(r) - 5*b(r). Let l(p) = 2*p. What is h(l(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-1\/4)*z)**(-19)*(z**(-2\/3))**(13\/6))\/(((z\/z**11*z)\/z*z)\/z*z\/z**(-8)*z)**(-30\/7) assuming z is positive.\nAnswer: z**(-1249\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6489111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/111 in -0.2, 106, 3, -15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-38)\/(12\/(-48) - 1\/4) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 83, 181, 291, 419, 571, 753?\n\"Answer: q**3 + 91*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17510, -17511, -17512?\nAnswer: -17513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1230574969?\nAnswer: 13, 94659613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 590 is divided by 118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/12)\/(-5*22\/(-8) + (-10101)\/777).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -224, -471, -874, -1427, -2124, -2959?\n\"Answer: d**3 - 84*d**2 - 2*d - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j**4 - 2*j**2 + 5110*j - 10232*j - 2*j**3 + 5109*j + 69 to w*j**3 + s + h*j**2 + v*j + k*j**4 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 4  (c) 10  (d) -1\/4  (e) -2\/5  (f) 22.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51609743?\nAnswer: 51609743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 4*h + 11 = 1, -3*f - 5*h + 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = n - 6. Let q = -10 + n. Let v(l) = l**2 + l - 3. Let a(b) = -b - 1. Let j(m) = 6*a(m) - v(m). Give j(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of -o**8\/960 + o**6\/720 - o**5\/120 - o**4\/2 - 2*o. Let h(p) be the third derivative of i(p). Determine h(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*g - j + 1, -7 = 3*g + 4*j. Let u be 0\/(-4)*g\/(-9). What is the units digit of 2 + -1 + u + 57?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*b - 39 - 69. What is the remainder when 19 is divided by (-8)\/(-3) + (-12)\/b - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 6632, 6633, 6634, 6635, 6636, 6637?\n\"Answer: p + 6631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -40a - -10?\nAnswer: -3ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.5, -0.0352922, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of -p**4\/6 - 7*p. Let a(m) = 5*m**2. Determine f(a(i)).\nAnswer: -50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h - 29*h = 14*h - 31. Do h and -6\/157 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 9:02 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200 (base 3) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 884 = -6*p - 62*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142451 is divided by 35609.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 86408 by -3.\nAnswer: -86408\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-24))\/(9\/378*7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g**2 + 4*g + 2. Let o be v(-4). Let w(d) = d**3 - 10*d**2 + 13*d - 11. Let l be w(10). Let f = o + l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 13*n + 10. Let v be p(3). Solve 0 = -v*t + 54*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10839 = -69*v - 15186 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10010100010011110100 + 11000?\nAnswer: 10010100010100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12 + -10111?\nAnswer: -10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*i + 15 - 3*i - 2 - 13.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + r = -35, 9*j - 2*r - 16 = 8*j. Solve j = -3*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*h - 5*t = -78*h + 64, 2*h - 61*t + 20*t - 457 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Rearrange ((2 - 2 + 8*y)*(0 - 1 + 4) + 2*y - 4*y + y)*(3 + y**3 - 3) + 19*y**2 + 2*y**3 - 19*y**2 - y**4 to z + w*y**3 + c*y + g*y**4 + a*y**2 and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 + 4*j + 3. Let m be b(-4). What is the third derivative of 0*i**3 - m*i**2 + 4*i**3 + 0*i**3 wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, s: 1, i: 2, g: 3, k: 1}. Give prob of sequence ik.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1330975 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 33475 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 1. Let o = 5.4 - j. Let c = -845\/4 + 211. What is the third biggest value in o, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 + 55*q + 590. Let u be h(-11). Is 635\/6 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*j - 5*j - j)*(16 - 38*j - 16)*(2 - 4 + 1) + (3 - 3 + 2)*(2*j - j + j)*(-j + j - 4*j) in the form b*j**2 + f + r*j and give b.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, -3\/7, -0.08 in decreasing order.\nAnswer: -0.08, -3\/7, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = -5*l + 4*z - 0*z, 5*z - 52 = 3*l. Let u = 31 + l. Calculate the highest common divisor of u and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80 and 110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + 2)**2 + 0.\nAnswer: 40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.269656857 and 0.4?\nAnswer: 0.1078627428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 624810920 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-222)\/9)\/(0 + (-4)\/54) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*q - 66*q = -400. List the prime factors of -5*8\/q + 3834\/10.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - 5 - 61) + -51 + 73?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.6597 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**2 + 30*i - 6774. Let t(q) = -3*q**2 + 105*q - 20324. Give -2*t(y) + 7*w(y).\nAnswer: -y**2 - 6770","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + y + 35. Determine u(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 18 = j + 4*j, 2 = l - j. Let c be (-13)\/(-2) - l\/(-4). Solve -2*t + c*t = z + 4, -2*t + 2 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 633 = -233. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12501, 25712, 38907, 52080, 65225, 78336, 91407?\n\"Answer: -d**3 - 2*d**2 + 13224*d - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5132916)\/(-2700) + 4\/(-50).\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3*6\/(-9) + 0. Let w be 2\/(-5) - 67\/(-5). Suppose c*f + 3 = w. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7586 from -0.008.\nAnswer: -7586.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 28908698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (((-15)\/18)\/5)\/((-150)\/(-200))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.978 * -0.6457.\nAnswer: -0.6314946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-7 + (13 - 3)) - (-2 - 0). What is the closest to -1\/2 in -1\/3, -7, 0.6, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/204 and -4\/25721.\nAnswer: 308652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3 + -1 - (1 - 1). Suppose -a*i + 149 = -4*q + 495, 2*q = -3*i + 185. Calculate the greatest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 160*r**2 + 1620*r + 78. Determine u(-10).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v - 2*v**2 - 2*v + 192*v**2 + 118*v**2 + 226*v**2 + (-v - 3*v + 6*v)*(-v - 5*v + v).\nAnswer: 524*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c - 12. Let p be 2 - -3*30\/(-9). Let h(m) = m**3 + 9*m**2 + 7*m. Let o be h(p). Let t be x(o). Solve -10 = t*w + w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1218507 is divided by 276.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -159*q + 1452. Let w be k(8). Solve 228 = -12*b + w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.5 - 1. What is the smallest value in 6\/11, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -9*z - 27. Suppose -7*x + 0*x = 63. Let u be t(x). Let m = -33 + u. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 342 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -57918 or -1210?\nAnswer: -1210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -8 - ((7 - -1) + -149 + 114).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 31 + -3 - (-72 - (-159 + 70))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1790814 to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 3*a + 75, 3*a - 35 = 4*a + 2*f. Let u(m) = -6*m + 11. Let c be u(0). Let n = c - a. What is the greatest common divisor of n and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**2 + 210*y**4 - 198*y**4 - 4*y**3 - 1 + 92*y**4 + 2*y**3 to the form g*y + z*y**4 + u + o*y**3 + i*y**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 PM and 12:50 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2164323800 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 8 + 8. Suppose -3*f + 3*p + 30396 = t, -f - p + 8378 = -1748. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -35*w + 101. Suppose 0*g - 16 = -4*g. Suppose 4*n - 1 - 3 = -2*i, -2*i = 5*n - g. Solve 2*b + i = -w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -8*x + 6. Calculate y(-7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -2*g. Let v be u(2). Let c(z) = -z - 4. Let n be c(v). Suppose 0 = 12*k - 11*k - 5. Solve -2*t + 2*q + 8 = 0, n*q - 20 = k*t + 3*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 76 + (9 + 15 - 43 - -21 - (-4 + 2))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.91 + -1088.\nAnswer: -1090.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1063\/3, -2, -5, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s\/(s\/((s**(-15)*s)\/s*s))*s)*s**(-8) assuming s is positive.\nAnswer: s**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -67, -168, -343, -592, -915, -1312, -1783?\n\"Answer: -37*k**2 + 10*k - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**3 - 14*o + 46. Give w(5).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56264880.\nAnswer: 2, 3, 5, 7, 107, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 AM and 7:22 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 3:08 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 6*w + 6. Let v be y(6). Suppose 2*a = 3*a - v. What are the prime factors of 51\/a*(-1 - -3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/(-18) + 6\/54. Let l(u) = 4*u - 10. Let a(y) = 7*y - 19. Let o(h) = 3*a(h) - 5*l(h). Let g be o(6). Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124661.\nAnswer: 17, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/4 + (-40)\/42000*-2425)*(-35)\/(-30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30 - -59\/2. Let u = 30 - 30.23. Let c = u - 5.77. Is i < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-54)\/(-15) - -2 - (-18)\/(-30). Suppose -5*h + 45 = -5*v, 3*h - u*v - 59 = -10*v. Solve 0 = 4*q + 4, 2*o + o + 2*q = h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.21836 + 9954.\nAnswer: 9954.21836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 94\/(-8) - (-33)\/44. Let n(h) = -5*h**2 - 21 + 4*h**2 - 6*h - 11*h. Let p be n(x). Solve 5*a + 6*j = j + p, 5*a - 2*j - 17 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from lxpbaxlbxbe.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of j**6\/360 - j**5\/40 - j**4\/8 - 2*j**2. Let s(t) be the second derivative of v(t). Does 4 divide s(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-14)*((-16)\/6)\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2 and -8.7597941448845?\nAnswer: 6.7597941448845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3)*-3*-6 + -4 + sqrt(3) + -2.\nAnswer: -6 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 9*a + 1. Let f(w) = -4*w - 1. Suppose -3*k = -5*p - 59, -p + 0*p + 48 = 4*k. What is k*f(l) + 6*y(l)?\nAnswer: 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 times 121.3\nAnswer: -4.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7cb (base 13) to base 10.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 - 2*h**2 - h - 4. Let d(i) = -i**2 + 10*i - 11. What is the remainder when k(-3) is divided by d(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - n**2 + 5*n + 3. What is x(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -418847\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Is 944 a factor of 25285040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of 3*x**2 - 4*x + 9964. Let j(n) = 2*n - 6. Give h(j(m)).\nAnswer: 12*m - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 0.542?\nAnswer: -2.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -238.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-203)\/145)\/(8\/20)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*p + 17 = -18 + 62 + 113 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**4 - 1065*w**3 - 2115*w**2 - 1055*w.\nAnswer: -5*w*(w + 1)**2*(w + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-36))\/(-7)*37\/(-888)*-36.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 114704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -30. What is the third derivative of 69*j**6 - 86*j**6 + h*j + 0*j**2 + j**2 - 110*j**6 wrt j?\nAnswer: -15240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21350 - 14200. Round y to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -11*x**2 + 51*x + 156. Give b(-3).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1130, 5, -0.3, 7, -1 in ascending order.\nAnswer: -1, -0.3, 5, 7, 1130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of 0*n**2 + 13*n - 1\/6*n**3 + 0. Let s(k) = -k + k + 9*k**2. Determine a(s(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2206455 < 2206477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of t**2\/2 - 2*t - 17. Suppose -5*n - 5*h + 10 = -0, n + 3*h = 2. Suppose -v - n = 2. Calculate p(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (49 - 53) + -55\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/1 - -1 - (169 + -157). Suppose -6 = -36*d + 30*d. Put h, -1, -24, d in descending order.\nAnswer: d, -1, h, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - -489930325083.\nAnswer: 489930325064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/327  (b) 14  (c) -0.1  (d) -1\/8  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bm when two letters picked without replacement from mdddddmdbmmmmmbmbd?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -9*b + 2. Let n be u(-2). Suppose -1412 = -24*v + n*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18960 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -r**7\/840 + r**6\/72 + 4*r**5\/15 + 3*r**4\/2 - 104*r**3\/3 - 184. Let n(h) be the third derivative of m(h). Factor n(j).\nAnswer: -(j - 9)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/410 and -101\/104796.\nAnswer: 523980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuc when three letters picked without replacement from {u: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -30374617 divided by 91?\nAnswer: -333787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 4*o + w - 43, 2*o - 28 = 5*w. Let i be (1 - -14)\/(-6 + o). Solve i*d = 4*j - 35, 11 + 9 = 4*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -2\/3  (c) 0.12  (d) -14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m + 8. Let d be b(3). Solve 20 = d*j + 3*z - 0*z, 2*j - 2*z = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11*d*q*u + 2*d*q - d*u - 102*d - 51*q*u + u wrt q?\nAnswer: 11*d*u + 2*d - 51*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-456)\/(-266) + 27\/21 + 34\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/572 + (-164)\/(-902).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2140*(49\/28 - 1)*-38000. What is v rounded to the nearest one million?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 240?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 5, w: 3, e: 2}. Give prob of picking 3 u and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(2574\/13)*-1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 970027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, -35, -151, -387, -785?\nAnswer: -1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 712.504 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 54392242 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 - 7*j**2 + 26*j - 30. Let h be k(-10). Solve -4*t = -3*y - 6, 5*y - t + h = -0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - 16*p - 119. Let d be h(-27). Let w = d - 1040. Suppose 2*y - n = 8, 4*y = -0*n + n + 12. Solve -u + w*k + k = 1, 0 = 4*u + y*k - 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + 2 + 6\/1. Suppose n = 4*z - 3*z. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - n + 21 + 32, 0 = 4*k + 3*n - 103. Let x be k\/8 + 1\/2. Suppose -m = -x - 3. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13638523 is divided by 3409609.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/((1*sqrt(800) - sqrt(800) - sqrt(8)) + sqrt(8) + sqrt(8)) + 1*sqrt(30)\/(2*sqrt(6)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + 3)**2 + 0 + -3 - -3*((-4*sqrt(304))**2 - (3 + (sqrt(19) + -2)**2)).\nAnswer: 24*sqrt(19) + 14596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*s + 57 = 0. Let a(o) = -3*o**3 + 25*o**2 + 6*o - 14. Calculate the remainder when a(7) is divided by s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 13 and 0.1472?\nAnswer: 12.8528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -3. Suppose -70 = -5*s - 4*o, n*s - 5 = 3*o - 0. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -5*d - 1866, -15*y + 3*d + 1878 = -12*y. List the prime factors of y.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -v + 162. Let n(q) = -125*q**3 + 4*q**2 + 3*q. Let w be n(-1). Let d = w - v. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 394 = a - 6*a, 4*a = -x + 143. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 0.4, 2, 0.3, 11 in increasing order.\nAnswer: 0.3, 0.4, 2, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -142040.9 and -0.1?\nAnswer: 14204.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -59 - 123 + 6*i + 0 + 29. Calculate v(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 5 = 13. Does 11 divide 22\/(-6)*(-4 + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m + 11*m = 12, -9 = -5*p - 4*m. Suppose 5*w - 4550 = -p*q, 7*w - q = 4*w + 2710. What are the prime factors of w?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5504308449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 1731 + 2370. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 7, -30, -85, -158?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 12:01 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10229.43 + 9909. Let u = -333.43007 - d. Let z = u + 13. Round z to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -987*l + 1009*l - 3718. Solve -15 = 4*p - r, -2*p + l*r - 21 = 164*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 7, -3 in ascending order.\nAnswer: -5, -3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z + 1. Let g be a(0). Let k = 1 - 1. Suppose 5*w - o - 19 = -5*o, 5*o = -w + 8. Sort w, k, g in descending order.\nAnswer: w, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 309, 612, 915, 1218, 1521?\n\"Answer: 303*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5741.4 and 0.4.\nAnswer: -5741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = c - 19. Suppose -c*x - 155 = -31*x - 4*v, -x - v + 170 = 0. Suppose 3*f - 2*f - 25 = 0. Calculate the highest common divisor of f and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-3 + -2 - (-20 - -11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 4*v**2 + 5*v + 1. Let r be x(5). Suppose -5*z = -h + r + 9, 0 = 4*z. Calculate the least common multiple of 9 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 10*o**3 - 10*o**2 - 10*o - 10. Let i(q) = -35 + 0*q - 23 + q + 59 + q**2. Let h(y) = y**2 - 3*y - 8. Let t be h(6). What is t*i(j) + g(j)?\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 67\/5 of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 423844469 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/3)\/(p\/(p**(5\/3)\/p)))\/((p\/p**(-1\/5))\/p*p**(1\/4)) assuming p is positive.\nAnswer: p**(-7\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2\/3, 3\/5, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 66112a90 - 5?\nAnswer: 66112a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -46 - -22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 36060229 by 38.\nAnswer: 36060229\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.5505 micrometers in centimeters?\nAnswer: 0.00095505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -7*t**2 - 4*t - 21. Let i(k) = 4*k**2 + 2*k + 11. Let a(r) = -5*i(r) - 3*v(r). Suppose 0 = 46*q - 60*q - 140. What are the prime factors of a(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -20*x + 23*x. Let t = -119 + 119. Let d be (-51)\/(-45) + (-2)\/6. What is the second biggest value in d, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/(-8) + 1)*382 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 1\/2  (c) -0.3  (d) 4\/5  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 293439?\nAnswer: 3, 97813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-456)\/(-7))\/(-6)*14\/(-4). What is the highest common divisor of 57 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43833595?\nAnswer: 5, 13, 674363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -500, -4, 2\/3, -2, 2\/17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 3)*(-4 + b + 4) + b + 3*b + b + (-2*b - 6*b + 4*b)*(0 - 2 + 5).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 169466 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 - 3*a**2 - 9*a + 10. Determine w(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 21 = -18. Suppose g*i + 75 - 111 = 0. Calculate the smallest common multiple of i and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 4 + (-1 + 3 - 4)*(2 - 3 + 2))*(d**2 + 0*d + 0*d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 5*p + 11 = 0. Let h = p - -28. Suppose y - 4 = h. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - (7 + -7)) + 0 - (-8 - -14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -608979677*t**2 - 323619104*t.\nAnswer: -1217959354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5895 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*m - 28 - 28 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/34469 - -758336\/310221. Find the common denominator of r and 8\/2019.\nAnswer: 6057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b - 1. Let u(i) = 6. Let s(t) = -5. Let p(r) = -5*s(r) - 4*u(r). What is 6*p(j) + z(j)?\nAnswer: -2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6.67 + 0.13. Let t = -0.8 + b. Is 4 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 4*h - 14 + 36 = 0, 0*h - 376 + 360 = -0*h + 4*h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.86 * 5.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 6094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 118 and 2360.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - -1) + (-6)\/(-2). Suppose -f*v = -4 - 0. Let o = -3 + 1. Which is the nearest to v?  (a) -1  (b) o  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1522 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: Sort -3, 904, -173, -18.\nAnswer: -173, -18, -3, 904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 734575, 734650, 734783, 734980, 735247, 735590?\nAnswer: 736015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2203*q**3 - q**5 + 381*q**3 - 22500 - 38348*q**2 + 9019*q**2 - 155*q**4 - 1090*q**3 - 45600*q - 3471*q**3 = 0.\nAnswer: -75, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.1*0.049.\nAnswer: 0.1519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l + 7*l - 2*l - 2*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -894, -1787, -2680, -3573, -4466, -5359?\n\"Answer: -893*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p. Let o(u) = 188*u + 1. What is j(o(q))?\nAnswer: -188*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -34 in 4\/5, 0.5, 0, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - d = 11*q - 2, 11 = -4*q - 5*d. Suppose -18 = -5*i - 4*f, 3*i - 5*f - 32 = q. Solve 0 = s - i + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1078)\/(-55) + -13)\/(16 - 3586\/220)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mu when two letters picked without replacement from eumew?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1d (base 16) to base 13\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 2810752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 244085480 take away -290.599?\nAnswer: 244085770.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 23, 1, 42, 0 in ascending order.\nAnswer: 0, 1, 3, 23, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 9 = 1, -4*l - 28 = -2*y. Let b be (l\/(-10))\/(3\/(-5)). Which is greater: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -k**4\/5 - 8*k**3\/15 - 2*k**2\/5 - 219. What is y in u(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28*a - 15*a - 7*a)*(-4 + 4 + 4)*(1 - 1 + a**4).\nAnswer: -200*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6326 + 139237\/22. Calculate the common denominator of r and 19\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -70.5 - -70. Let l = -3 + 3. Suppose l*k = 4*k + 24. Which is the second biggest value?  (a) f  (b) -2\/9  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 4*m**2 + 2*m - 3. Let b be k(4). What is the third derivative of -6*f**6 + f**2 - 7*f**b + 7*f**5 + 0*f**2 wrt f?\nAnswer: -720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -202 and -2939136324?\nAnswer: 2939136122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6562 + 137804\/21. Factor -6\/7*x - u*x**3 - 8\/21 - 4\/7*x**2.\nAnswer: -2*(x + 1)**2*(x + 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163188?\nAnswer: 2, 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -50, -101, -148, -191, -230, -265?\n\"Answer: 2*w**2 - 57*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 140 and 2275.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -252 (base 11) in base 12?\nAnswer: -20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 5 = -5. Let c = j + 3. Suppose 4*l = 12, -5*z + 34 = -0*l + 3*l. What is the smallest common multiple of z and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 162, 5, -5, 2 in decreasing order.\nAnswer: 162, 5, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -270074 + -0.2?\nAnswer: -270074.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/459 and 65\/1632?\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 450978 is divided by 11841?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 8:50 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -8*s**2 + 57*s + 24. Calculate q(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.29 + 5.29. What is the third biggest value in 1, a, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3347 is divided by 328?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 405930.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 6. Sort -2, h, -3, 2 in ascending order.\nAnswer: -3, -2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 4*c + 6 = 3*t, -4*t + c - 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/((-49)\/(-7))*1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 1 = -2. Let s = 4556\/9 - 9487\/18. Let v = 41\/2 + s. What is the smallest value in u, -5\/2, v?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3 + 3*b**3 + 2*b - 5 - 4*b**2 - 4*b**3 - 3*b. Let d be g(-4). Calculate the common denominator of 56\/11 and (d\/(-9))\/(25\/(-480)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8834464?\nAnswer: 2, 53, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, j: 3, t: 1, y: 10}. Give prob of picking 1 t, 1 j, and 2 y.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -61.9 and -26605.\nAnswer: -26666.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/6 and (49\/22)\/(27\/(-54))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*f + 1\/4*f**2 + 0 - 5\/8*f**3 - 7\/8*f**4.\nAnswer: -f**2*(f + 1)*(7*f - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m - 256 = -17*m + 2*k, 0 = -m - k + 64. Which is smaller: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 0*v**4 - 2*v + 7*v**2 - 1\/20*v**5 + 1\/6*v**3 + 0. What is the units digit of u(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**2 - o**3 + 2*o**2 + (0*o**2 - 8*o**2 + 3*o**2)*(3*o - o + 0*o) + 5*o**3 + 0*o**3 - 3*o**3 - 4*o**3 + 4*o**3 + 2*o**3 + 46*o**3 - 53 + 53.\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 14567, 14212, 13877, 13568, 13291, 13052, 12857, 12712?\n\"Answer: s**3 + 4*s**2 - 374*s + 14936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -145  (c) 615\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/(4*sqrt(10)*1).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 116822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -257\/95 - -13\/5. Sort 4, 5, g, -4.\nAnswer: -4, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(1\/2)\/x)**(-3\/8)\/((x\/((x\/(x*x**9))\/x))\/(x\/x**(-2\/3))))**44)**(-37) assuming x is positive.\nAnswer: x**(178673\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4\/7, -112, -0.05, 2, 0.28?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 54 + -33. What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.577381 to 2 dps.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 22776297287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -875 or -871?\nAnswer: -875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180) + 1 + -1 + sqrt(180))*-3 + 1 + (3*sqrt(5)*1 + 2 - (sqrt(125) + (sqrt(125) - (1 + sqrt(125)) - sqrt(125) - sqrt(125)) + -1)))**2.\nAnswer: -280*sqrt(5) + 3945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2. Let y be 3 - (-2 + -4 + 9). Let g(f) be the third derivative of 0*f + y*f**4 - 1\/15*f**5 + 0 + 0*f**3 - 4*f**2. Determine g(o(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/4 + (-49)\/4. Suppose -5*t + 30 = -8*t. Let y = t - a. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**32*z*z**(4\/17))\/((z**(5\/3)*z)\/z**7) assuming z is positive.\nAnswer: z**(1916\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26722?\nAnswer: 2, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from grdrrerrdezrgrrzr. What is prob of sequence dd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**4\/5 + 36488*w**3\/5 + 109488*w**2\/5 + 109496*w\/5 + 7300.\nAnswer: -4*(w - 9125)*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13139?\nAnswer: 7, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 4)*(95 + 9*z**2 - 95)*(-5 - 2 + 5).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -318, 24, -36, -3, -2 in increasing order.\nAnswer: -318, -36, -3, -2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8255?  (a) 4  (b) 46  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -112310311 (base 4) to base 12\nAnswer: -46131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 11:16 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from awaawwaaaaaaawwwawa?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.2, -2, -9, 2\/9 in decreasing order.\nAnswer: 2, 2\/9, -0.2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -21 in 7, 16, 1\/4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 5*i - 3 = 7, 5*k + 3*i = -6. Factor k + 3\/5*y**2 + 3\/5*y.\nAnswer: 3*y*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 336 - 338. Which is the closest to 0?  (a) h  (b) 2\/49  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*w + 817528 = 133381 - 437757. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**2\/4 - 21*a\/2 + 36.\nAnswer: 3*(a - 8)*(a - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2702514461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z - 3. Let n = -1 - 6. List the prime factors of a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/7 - 33780*p\/7 + 142636050\/7.\nAnswer: 2*(p - 8445)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 41  (b) 163  (c) 4\/5  (d) -52  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 8893, 20 in descending order.\nAnswer: 8893, 20, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2, -2\/9, -0.06, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -12*s**2 - 9*s + 17. Suppose 28 = -5*t - 17. Let v(o) = 3*o**2 + 2*o - 4. Let g(w) = t*v(w) - 2*y(w). What is the first derivative of g(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -247, -558, -955, -1480, -2175, -3082, -4243?\nAnswer: -5700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 82919.7 to the nearest 1000.\nAnswer: 83000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 20212*z**3 - 51*z + 3. Let x(b) = 20212*b**3 - 68*b + 4. What is -4*m(j) + 3*x(j)?\nAnswer: -20212*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 220 = -5*z, -202*b + 5*z + 220 = -400*b + 202*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.648 less than 0.4?\nAnswer: 1.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*a + x - 0*x, -4*a + 5*x = -26. Suppose -4 = -u + 4*v, 2*u - 4*v - 8 = -3*v. What is the derivative of -2*p**4 + p**4 - a*p**u - 89 + 82 wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*s - 28420 = 4*s + 5*s. Round s to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = 2*k - 4, -3*h + 5*k + 171 = 153 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 73088 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1525 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2268403144.\nAnswer: 2, 7, 487, 83177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2*z**3 + 33*z**2 - 2*z - 20. Let p(y) = -y**3 + y**2 + y. Let v(s) = c(s) + 3*p(s). Let j be v(36). Calculate the highest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1334073, -1333504, -1332923, -1332324, -1331701?\nAnswer: -1331048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.2120342 and 21.\nAnswer: 21.2120342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/7 - (-15341)\/4669. Factor -33\/4*d + 3\/4*d**3 - 9\/2 - z*d**2.\nAnswer: 3*(d - 6)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.07 in 2, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.17*-2.1\nAnswer: -0.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -173900521 + 173900840.000554. Let w = o + -319. Round w to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 946 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 0.04  (b) 5  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - 18*b + 22. Let j be h(17). Suppose d + c = 441, -188 - 700 = -2*d - j*c. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 949 smaller than 948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 863569647 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20846 (base 10) to base 11.\nAnswer: 14731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -254 + 2284\/9. Let v be (10\/6)\/(4\/3). Which is the smallest value?  (a) -0.1  (b) v  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a + 2. Let i = -34 + 31. Let q(p) = -5*p + 5. Let f(s) = s**3 - 6*s**2 - 6*s + 1. Let y be f(7). Calculate i*q(o) + y*v(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -22\/18497205 and 34\/495.\nAnswer: 203469255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -0.035.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -351*i**2 + 83*i**2 - 364*i**2 + 8*i + 81*i**2 in the form a + g*i + r*i**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2*z. Let h = 1197 - -3515. Let m(x) = -h*x - 3*x**2 + 4712*x. What is m(c(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -3 + 1 - (-18 - 9 - -6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/(-2))\/18)\/(2\/(-18))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 43. Suppose y = -2*r - 2*r + 138, -r - 5*y = -44. Let k be r + (-1 + 1 - 1). Calculate the highest common divisor of k and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 368941, 1475739, 3320399, 5902921, 9223305?\n\"Answer: 368931*f**2 + 5*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-3)*(4590\/17)\/30*2\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 - 12. Let u(j) = -j**3 + j**2 - j - 1. Let g be (-18)\/12*(-28)\/6. Let v(i) = 0*i + 2*i - 6*i**3 - g*i + 5*i**2 - 5 + 0*i**2. Give m*u(b) + v(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 187 + 35. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2088 is divided by 1900?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 12*m = 14*m, -n - 4*m + 14 = 0. Solve 0 = -3*t - n*f - 19 + 20, 0 = 2*t + f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*2\/(-8) + 860. Suppose -v = -2*h - 2*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20878 and 1430.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/1 - 12) + 259\/(2 - -35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -118, 5 in descending order.\nAnswer: 5, -1, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15553 is divided by 4897.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 4 = -3*r, 2*r + 2*k = -r + 2. Suppose r*z + 3*z = 141. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -575 * -520247\nAnswer: 299142025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 43509871661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = f - 2*q + 10, 53164*f - 53159*f + 2*q = -28 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 597.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -11*v**3 + 18*v. Let j(a) = -2*a. Suppose 0 = -5*g - 4*n + 106, -40 = g - 3*g - n. Calculate g*j(b) + 2*d(b).\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**4\/(g*g**(4\/5))*(g*g\/(g**3*g))\/g**(-3) assuming g is positive.\nAnswer: g**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 816263\/88 + -9275. Calculate the common denominator of x and 23\/10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 3:10 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (5*((sqrt(117) - (sqrt(117) - 3*sqrt(117))) + sqrt(117)))\/(sqrt(324)*-4 + sqrt(324)))**2.\nAnswer: -40*sqrt(13)\/9 + 1624\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 2*g - 128, -20 = -u - 21978*g + 21979*g for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (((9 + -9)\/10)\/(-1))\/(-1 - -4). Let m = 0.35 - -0.05. What is the second smallest value in 1\/4, m, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = -5*c - 27, 3*h + 3 = -38*c + 37*c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 17238 = -7338. Let w be 9385\/(-4)*1*160\/(-100). Let y = w - s. Round y to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 12:47 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 863*q = -265 + 7629 + 403 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5, j: 3, f: 4}. What is prob of picking 1 j and 1 u?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**2\/3 + 900382*x\/3 - 3601544\/3 = 0. Calculate x.\nAnswer: -900386, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/23)*a*a\/a**(7\/5)*a*a assuming a is positive.\nAnswer: a**(309\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*l = -12*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5737069 grams in tonnes?\nAnswer: 0.0000005737069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 - 11*o**2 - 8*o + 22. Let g be j(-10). Suppose 2*t + g*v - 28 = 0, 3*t - 3*v - 48 = -0*t. What is the greatest common divisor of t and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 7*n**2 - 4*n - 4. Let r(d) be the second derivative of 5*d**4\/3 - 11*d**3\/6 - 6*d**2 - d. Let m(c) = -17*g(c) + 6*r(c). Determine m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1399 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 88241 at least as big as 88242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 5*m - 23. Let i be v(5). Suppose 3*q + 15 = 5*h + q, h - 3*q = 3. Let b = i - h. Is b > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 - 7*j - 16. Let l be n(9). Let c be 20\/5*(l - 1\/1). Find the third derivative of i**2 - 18*i**5 - c*i**2 + 9*i**2 wrt i.\nAnswer: -1080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12545 + 21939. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 16\/7, 3\/7, 1\/2.\nAnswer: 3\/7, 1\/2, 2, 16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*v - 3410 = -3*d + 53*v, -5*v = 10. Does 48 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9026980907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -a**4 + 1369023*a**2 - 2542154 with respect to a.\nAnswer: -4*a**3 + 2738046*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 + 10*x**2 - 8*x - 7. Suppose d = -2*d - 4*g + 5, 3*d - 17 = -g. What is the tens digit of f(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - 25. Is 3 a factor of (52\/(-10))\/(4\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -27*w**3 + 52*w**3 - 29*w**3 + (1453 - 1453 - 185*w)*(2*w**2 - 3*w**2 + 0*w**2).\nAnswer: 181*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -60 - -62. Suppose 3270 = 2*a - k*j, -2*j = -3 - 1. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 609\/4 - 152. Find u such that 0 + 0*u + 3\/4*u**4 + f*u**2 + u**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 635670 and 73010.\nAnswer: 663003810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6588016 is divided by 900.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -82*o**2 - 1. Let m(z) = -24*z**2 + 15*z - 16. Let t(k) = -29*k**2 + 18*k - 19. Let p(h) = -6*m(h) + 5*t(h). What is -i(n) - p(n)?\nAnswer: 83*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -15*(-30)\/(-1386) - (-6)\/33. What is the closest to 0.1 in 2, y, -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.61 - -8.29. Let h = o + -7. Let b = -0.1 - h. What is the biggest value in 1\/4, -3, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 35*o**2 + 3300*o - 11. Let t(u) = -10*u**2 - 825*u + 3. Let s(k) = 11*t(k) + 3*v(k). Determine j so that s(j) = 0.\nAnswer: 0, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22 + 22 - 7*i)*(-1 + 0 - 1)*(-4 + 4 + 1).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -9*h**3 - 5*h**2 + 5*h - 21. Let p(o) = 8*o**3 + 4*o**2 - 4*o + 22. Let t(l) = -4*d(l) - 5*p(l). Differentiate t(m) with respect to m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/((-2)\/3))\/((-650)\/4700*-47)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.027 + -0.273. Which is the third biggest value?  (a) 2\/5  (b) -2\/3  (c) x  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - 1 - (2 + 1). Suppose 5*u = 2*i - 23, 2*u = 6*u + 4. Let h = i - f. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 11, 919, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand n - n - 2*n**3 + (-2 + 2 - n)*(32*n**2 + 31*n**2 - 39*n**2 + 4).\nAnswer: -26*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -3*x**2 - 9*x - 1. Let b(q) = 10*q**2 + 27*q + 4. Let f(r) = -2*b(r) - 7*m(r). Is f(-10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (426\/(-9))\/((-45)\/48). Let m = -649\/15 + o. What is the common denominator of m and 16\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 234*z**2 + 91. Let x(j) = -13*j**2 - 5. What is -5*r(s) - 91*x(s)?\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 370054 or 370053?\nAnswer: 370054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 11, u: 1, j: 2, e: 2}. What is prob of picking 1 u and 2 m?\nAnswer: 11\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - z**2 - z. Let t(f) = -88*f**2 + 168*f - 89. Let o(u) = 2*m(u) + t(u). Let b(v) = v**3 + v + 1. Let n(j) = 5*b(j) + o(j). Factor n(h).\nAnswer: 3*(h - 28)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**3 + 81*f**2 - 128*f - 82. Let w be v(-42). Solve -2*z - w*m = 0, 0*z - 3*m + 1 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*r - 43*r = -336. Let m = 7744\/7 - 23146\/21. What is the common denominator of m and 163\/(-30) - (-3 + r + -10)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 3087586614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6314728?\nAnswer: 2, 7, 89, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = q - 5*w, 4*q - w + 0 = 49. Let b be 29 - ((-2)\/(-3) + q\/36). Calculate the greatest common factor of b and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v + 3*v + 34 + 73 = 2*w + 2*w, 9 = 3*w for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -7*d + 2. Let u be w(-6). Suppose -4*r = -3*c + 33, -4*c - r + 2*r = -u. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 + 31. Suppose s = d + 3, -5*c - 5*d + 4*d = -42. Calculate the remainder when 13 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114775 - 21312 = 5963*x - 31760 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 538.3493 litres in millilitres?\nAnswer: 538349.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 865 = 5*i + 880, -8*k - 2*i - 6 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 56440 - 56435. Let p(r) = 3*r**3 - 23*r**2 - 15*r - 32. Let k(a) = -a**3 + 8*a**2 + 5*a + 11. Let m(t) = 11*k(t) + 4*p(t). Give m(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8208) - (sqrt(8208) + sqrt(8208) + sqrt(8208)*4 + sqrt(8208))*-1) + sqrt(8208))\/((sqrt(972) + sqrt(972)*-4 - sqrt(972)) + sqrt(972)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 682893.1 rounded to the nearest one thousand?\nAnswer: 683000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -849\/7*v**2 - 121*v + 2\/7.\nAnswer: -(v + 1)*(849*v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 17*u - 7*u + 15*u - 7*u + 20*u.\nAnswer: 4*u + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1276 - -8688. Is 12 a factor of q\/30 - (-22)\/(-165)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from wwdfswiwmwfwwww.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*x - 4*m - 3, 4*x = 5*m + 1. Suppose 0 = o - 0 - 4. Let l be ((-4)\/50)\/(o\/(-40)). Put x, 0.5, l in descending order.\nAnswer: l, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48502.35kg to milligrams.\nAnswer: 48502350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2009971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 PM and 10:55 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-18)\/(-21) - 1)\/((-430)\/301). What is g in v*g**4 + 1\/10 + 0*g**3 + 0*g - 1\/5*g**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114) + sqrt(114) + sqrt(114) + 1*sqrt(114)*2)\/(sqrt(30)\/(sqrt(30)\/sqrt(6))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-297 + 1281 - 570)*(-27*s + 8*s + 9*s).\nAnswer: -4140*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10729 is divided by 2660?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -60*j*n*u - 13*j + 3*n*u**2 + 2*u**2 - 2 wrt n.\nAnswer: -60*j*u + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.5504568 decades?\nAnswer: 0.005504568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 4*k = -5. Let n(p) = -114*p**3 + p**2 + p + 1. Is n(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -60*f**2 - 2. Let q be d(-1). Suppose -2*h - 103 = -581. Let n = q + h. What are the prime factors of n?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.250921 hours in minutes?\nAnswer: 75.05526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32132 - -32132.000058586. What is f rounded to 6 dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.6 and -146.\nAnswer: -87.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64.922*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from vszzzzvzvv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q**2 - 7*q - 5. Suppose -2*x = 268*r - 273*r - 12, -x = 4*r + 33. Give d(x).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 2 t, and 1 r when four letters picked without replacement from ryrgrrttytyryrrrz.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000580952902 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -7798, -17, 4, 5 in descending order.\nAnswer: 5, 4, -4, -17, -7798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1857 and 1242.6.\nAnswer: -614.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -v + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 - q - 109. Let m be n(11). Let c(y) be the third derivative of -2*y**2 + 1\/24*y**4 + 1\/60*y**5 + 0*y + 0 - 1\/6*y**3. What is c(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 - -21. Suppose 1795 = s*u - u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 + q + 2. Let t(w) = -2*w**3 - 10*w**2 - 8*w - 8. Let v = 323 - 319. Let n(b) = v*i(b) + t(b). Factor n(g).\nAnswer: -2*g*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + 12*k**2 + 10*k - 11. Let r be t(-9). Suppose 0 = 2*s + 4*d - 3*d - r, d = -4*s + 284. Let q = -27 + s. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 208 - 201. Suppose -s*g + 75 = 47. Solve -3 = g*o - 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 9. Let q = g + 7.3. Sort q, -1\/6, 0.2.\nAnswer: -1\/6, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -0*i - 2*i - 22, 0 = -u + 4. Let c(j) = -8 - 2*j + 14*j + 23. Let t(x) = -3*x - 4. Determine i*t(m) - 4*c(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -3*t - 3. Let u be p(-3). Suppose 2*s - u*s + 1372 = 0. Suppose -7 = -5*g + s. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 7:31 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 90966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 10*u**3 - 5*u**2 - 5*u + 5. Let f(o) = 5*o**3 - 3*o**2 - 3*o + 3. Determine 5*f(n) - 3*z(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 14 = 115. Let g be -16 + 11 + h\/(-21). Solve 2\/7 + g*w**2 - 10\/7*w = 0 for w.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 231 = 47*k - 124*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 6. Let n be (-3)\/(-15) - f\/(-10). Let q = -1474 + 1479. Sort n, 0.5, q in increasing order.\nAnswer: n, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 738727635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -15493530 divided by 31?\nAnswer: -15493530\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2659 is divided by 886.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 4*j = 20, 3*z + 2*j = -z - 20. Suppose 3*v + 0 + 6 = 0. Let m be -2 - (7*v)\/2. Put -5, z, m in decreasing order.\nAnswer: m, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3402?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + (-9 - -1) - 2) + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (o**2 - 3 + 2 - 1)*(20*o + 6 - 19*o + 2) in the form t*o**2 + h*o + y + v*o**3 and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - -26. Calculate the remainder when u is divided by 18\/(4 + -2) - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -5\/3, -0.5, 3, -17446?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 106 = -4*v + 138, 0 = -a - 4*v + 48 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 75  (b) 2\/35  (c) 241  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8480 >= 8035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b - 19. Let o be r(-20). What is the closest to -0.2 in -1\/7, o, -0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11505150 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -2*x**3 - 58*x**2 - x - 43. What is l(-29)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 2 - 12 = -5*r, r = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - 14 - (1 + 1) - (4 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.03, 13, -14\/11?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468) - (sqrt(468) - (-1 + sqrt(468)))**2) + sqrt(468) + sqrt(468) + -1.\nAnswer: -2 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 23*t - 4. Determine f(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 - 3*i + 11. Let f be w(2). Solve r = 5*t + 19, -4*r - t = r + f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 379 - -23. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2030225 and 9835.\nAnswer: 14211575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*g - 2402*g**2 + 51256 - 3*g + g - 52581 wrt g?\nAnswer: -4804*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h - 2. Let n be p(-5). Let t be ((-2)\/14 - 15)\/((-5)\/(105\/36)). Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 2. Let n = -17.4 + 31.4. Let z = s - n. Sort 6, z, -4 in descending order.\nAnswer: 6, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.9038671132 to 5 decimal places.\nAnswer: 0.90387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 31*q + 148. Let l(s) = -16*s - 73. Let d(z) = 9*l(z) + 4*v(z). Calculate the remainder when 216 is divided by d(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xtk when three letters picked without replacement from {x: 3, k: 2, t: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k - 46 = 5*q + 2*k, 5*k - 20 = q. Let s = q - -12. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-952)\/126)\/(-17)*(-1296)\/(-816).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6 + (-4)\/(-2)*1. Suppose 2*z - t - 7 = 0, -t = -z + 3*t + 14. Let m be (5 - 2)*z\/6. Put m, d, 4 in descending order.\nAnswer: 4, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (11 - 1832\/168) + 1256\/42. Solve r - 38 = -8*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 5:23 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f - 2 - 3*f + 2 to k + r*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 3*o - 1 + o - 4*o + 5*o + 0*o + 4*o - 2*o + (1 - 3 + 3)*(-2*o + 5*o - 2*o) - 5 + 5 + o - 3 + 3 + 2*o - 3910*o + 345 + 1956*o + 1961*o.\nAnswer: 12*o + 345","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 3147*q - 12753. Calculate r(4).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001753 to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 125*g - 111. Let t(z) = -304*z. Calculate k(t(f)).\nAnswer: -38000*f - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1\/j*((j\/j**(-1))\/j)\/j)\/((j*j**7*j)\/j**(-1\/5)))**(-3) assuming j is positive.\nAnswer: j**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 77, 112, 169, 248, 349?\n\"Answer: 11*j**2 + 2*j + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of -q**6\/60 + 7*q**5\/40 - 5*q**4\/24 - 7*q**3\/12 + 3*q**2\/2 + 2*q - 4. Suppose n(x) = 0. Calculate x.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15303 (base 7) to base 2\nAnswer: -1000010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -377 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + t**2 - 2*t + 27. Calculate the least common multiple of m(4) and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 6*g**2 + 8*g + 6. Let a be v(-6). Let o be (0 - 4)*7\/a. What is the third biggest value in 0.4, 4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 30 + -26. Calculate the common denominator of v\/20 + (-16)\/10 and 117\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1193051308 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**2\/5 + 1194*i\/5 - 4824\/5.\nAnswer: 3*(i - 4)*(i + 402)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41 (base 7) to base 12.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 - 7 + 2*f**4 - 2*f**3 + (0*f - 8*f + 9*f)*(3*f**3 + 0*f**3 - 4*f**3).\nAnswer: f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 137.716 rounded to 0 decimal places?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-19 - -24) + 9222\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/9 - (-334)\/6 is divided by ((-21)\/9)\/(14\/(-84))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 - 8*x**2 + 20*x - 20. Let y be i(4). Let t(k) = 10*k**2 + 4. Let p be (-4)\/10 + (-17)\/(-5). Let z(q) = 9*q**2 + 3. What is p*t(l) + y*z(l)?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7354 = 8*y + 278. Let t = 6681\/7 + y. Let n = -14\/9 + 79\/45. What is the closest to n in -2\/7, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 247  (c) 1  (d) -3  (e) -34  (f) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 41675, 41674, 41673, 41672, 41671?\n\"Answer: -y + 41676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 412863 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 684771 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: What is the remainder when 263 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1050 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (8 - -3) + -2 + 242 + -233\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 85547591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7430822 != 7430821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 40*t + 32*t - t + (-2*t + 4*t - 3*t)*(-5 + 3 - 1).\nAnswer: 74*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*s - 4*w + 18, -s + 6*s - 2*w + 15 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 351*o + 104. Let f(i) = 10*i + 3. Let a(g) = 104*f(g) - 3*n(g). Let k(t) = -4*t. Determine a(k(q)).\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tntanatnnntt. Give prob of picking 1 n and 2 t.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) -1\/2  (b) -25.4  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -162, 0.3, 1\/13, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 124219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -1493 - 100*t - 71*t + 4410 + 174*t as o + z*t and give o.\nAnswer: 2917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 PM and 3:29 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2280*p - 4420*p + 1789*p)*(-2 + 2 - 2*p**2) + 2*p**3 + p**2 + 0*p**2 + p - 3*p.\nAnswer: 704*p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*j + 2*j + 18*j - 10*j as a*j + x and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -4*t + h - 7, 3*t = -2*h + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.4 - 5.8. Let f be -1 + (-24)\/(-13) - 1. Which is the closest to 0?  (a) -1\/4  (b) f  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 1802*o - 1401961. Calculate i(778).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*q - 23 + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 + 9*w - 17. Let f be v(-11). Suppose -2*c = f*l - 630, -5*l - 5*c = -606 - 24. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2624 and 142024?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*n + 50 + 52. Let z = n + -19. Does 33 divide (-1287)\/(-6) + z\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1102 a factor of 259896782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-28)\/(-4) + -12 + 1033. Suppose c - 5373 = -11*i. Calculate the remainder when i is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/6*1\/((-3)\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8680 and 28432?\nAnswer: 30848720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3305*o - 38*o**3 + 3305*o - 1 to the form x*o**3 + z + b*o**2 + w*o and give x.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of 1\/8*x**4 - 10*x + 1\/4*x**3 + 1\/4*x**2 + 1\/40*x**5 - 16. Let c(v) be the first derivative of j(v). Find w such that c(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 3, 4.\nAnswer: 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = 25*y - 604, -4339*v = -4336*v + 4*y - 84 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7988.3 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -4*j**2 - j + 3. Let t be (-3)\/((-2)\/(-5)*15\/6). Let y(c) = -3*c**2 - c + 2. Determine t*y(d) + 2*x(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*i + 0 + 1 + 21*i + (7*i + 6*i - 8*i)*(2 - 1 - 4).\nAnswer: -7*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5773991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**3 + 101*m**2 + 33389*m*q + 10117882*q with respect to m.\nAnswer: -6*m**2 + 202*m + 33389*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14570 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n + 5. Let x be a(-2). Suppose 0 = x*f - 6, 2*p - 10 = -2*p + f. Solve 0 = i - 3*g - p, -2*i + i - 4*g = 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-575)\/69 + 15 - 2\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 900526438?\nAnswer: 2, 7, 64323317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -250 (base 15) in base 7?\nAnswer: -1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6148533 + -3.\nAnswer: 6148530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2165 is divided by 19\/(-57) - 65\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times -4.3\nAnswer: -0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -44925 - 2.36.\nAnswer: -44927.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17910 is divided by 8847?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 290 divided by -29?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3709460109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/201 and -121\/90.\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 AM and 2:18 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1770582 + -86?\nAnswer: -1770678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 53*r**2 - 126*r + 1. Is 23 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 + 7*l**2 + 9*l - 5. Suppose 7*r - 2*r - 5*j - 40 = 0, 3*j = 0. Let p be v(r). Suppose 4*m + p = -25. What is m rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 40.5 - 40. Let o be 42\/(-18)*1\/(-7). Which is the second smallest value?  (a) 1  (b) g  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 517.3861 years?\nAnswer: 0.5173861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p + 1. Let s = 1 + -1. Let i be h(s). Suppose 2*g + 3 = -i, -2*u + 2*g + 56 = 0. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*w - 1091028 = 411772. What is w rounded to the nearest one thousand?\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -4*j - 5*t - 5, 2 = 2*j - 2*t. Solve j*d = d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 190 and 1970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -176 - -178. Suppose 0 = -3*n - 3*c + 17 + 310, 5*c + 197 = t*n. What are the prime factors of n?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 566716276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**4\/4 + 667*z**3\/4 - 44399*z**2\/4 - 667*z\/4 + 11100 = 0. What is z?\nAnswer: -1, 1, 75, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of -l**4\/12 + 7*l**3\/6 - 9*l**2\/2 + 4*l - 1. Suppose -3*p + 26 = 8. What is w(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-3))**(-3\/2))**(-18\/7)*(p**(-1\/2))**(1\/3)*p*p**(2\/7)*p*p**4 assuming p is positive.\nAnswer: p**(-229\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 1060830229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002877908 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-5901\nAnswer: 1770.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 284*n + 285*n - 4 + 74*n**3 - 4 - 573*n.\nAnswer: 74*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 490 and 61495?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-1)*1\/(-2). Suppose 3*b = -i*y + 2 + 30, -3*y + 23 = 2*b. Suppose 2*a - 4 - b = 0. Solve a*v = -3*d + 8, 2*v = d + v - 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121 (base 3) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 64162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s + 3. Let h be x(3). Suppose -7*f + 14 = -77. Solve 4*n - 4*y = h + 6, -4*n + f = -3*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 5, 121 in increasing order.\nAnswer: -0.3, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 5 - 8 - (1 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 67071 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -948, -946, -944?\n\"Answer: 2*c - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, 0, -5, -1 in increasing order.\nAnswer: -31, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/v**(2\/5)*v**(-1\/2))\/(((v**2\/v)\/v)\/v*((v**6*v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2119602865 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 140 + -59 + -100 + 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 8:13 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-7)\/(-21) + (-10397)\/(-3))\/(-17). Let g = 204 + h. Which is the biggest value?  (a) 1\/4  (b) g  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -284442 equal to 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 69.42 - 70. Let r = 0.623 + q. What is r rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 r when three letters picked without replacement from rrccrcrrrcrcrrrr.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3435 and 2055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -78 + 4*t**2 - 5*t**2 + 2*t**3 + 75 to the form q*t**2 + k + u*t**3 + m*t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 740 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -95 + 99. Suppose -5*u - 12650 = -5*y, -5*u - 5057 = -n*y + 2*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17\/9600 - 22185889\/163200. Let d = 136 + u. Let i = 551 - 551. Put -4, i, d in decreasing order.\nAnswer: d, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 PM and 2:31 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 14\/(-14) + -2 + 2. Is v > -1\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -4*j. Let y(r) be the first derivative of -r**5\/30 + 3*r**2\/2 + 7. Let d(k) be the second derivative of y(k). What is d(f(l))?\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 579*v + 664*v + 365*v - 42*v.\nAnswer: 1566*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (1*sqrt(637) + (sqrt(13) - 2*sqrt(117)\/sqrt(9)))*1 + -1 + 3)*-2.\nAnswer: -12*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(196)\/sqrt(28))\/sqrt(4).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.994 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27693 and 1509?\nAnswer: 13929579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 + 2*q + 1. Let j be c(-2). Suppose k - 6 = j. Solve -4 = -4*m + 4*z, 2*m - k = -m + z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-924)\/1155*5\/(-4)*-43.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h**2 + 7*h + 1. What are the prime factors of z(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/15)\/(2\/20). Suppose 3*q + 16 - 28 = 0. Suppose f*h - q*p = -h + 747, -456 = -3*h + 5*p. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - -1 - (2 + 124 + (259 - 246)).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -0*w - 4*b - 28, 3*w = b + 29. Calculate the remainder when 60 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -674*w**2 + 24 + 20*w - 6*w + 675*w**2. Determine y(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 1:26 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -3 - (-2 - 9\/24)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of o**4\/12 + 5*o**3\/2 - 8796*o. Let v(k) = -3*k - 2. Determine v(d(m)).\nAnswer: -3*m**2 - 45*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11529)\/(-122)*(-212)\/371?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, v: 2, z: 1}. Give prob of sequence rrr.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -289 - -292. Sort 2\/9, o, -2\/5, -0.01 in increasing order.\nAnswer: -2\/5, -0.01, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 131313, 263001, 394689?\n\"Answer: 131688*b - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 11 + 0*v + 10*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6.859 and -1169479036?\nAnswer: 1169479042.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.05 or -0.0506777?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2036 + 38.5316. Let t = -0.172 - c. Let r = -39 - t. Which is greater: r or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 divided by -3305?\nAnswer: -31\/3305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*k**4 - 2650720*k**2 - 162104937*k wrt k?\nAnswer: -156*k**2 - 5301440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4, 4\/385, 1, -19, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 6*k**2 + 16*k + 2. Let f(r) = 7*r**2 + 17*r + 2. Let z(b) = 5*f(b) - 6*l(b). Let s be z(-8). Solve 10 = g + a + a, 0 = -5*g - 3*a + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 25\/2 of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 3 b when four letters picked without replacement from jbbjbbjjbbbbbbbjbbbb.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 + 5*y**2 - 3*y - 1. Let b be 12\/(-2)*4\/(-6). Let r be w(b). Which is greater: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**5 - w**3 + 3*w**5 - 4*w**5 - 2*w**4 + (-61*w + w**3 + 61*w)*(2*w**2 - 3 + 3).\nAnswer: 3*w**5 - 2*w**4 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 + -8. What is the remainder when 35 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -75 + 145. Is 7 a factor of (t\/(-3))\/((-1)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3648 - 3648 - 1021*w**3)*(w - w**2 - w) - 4*w**5 + 3*w**5 + 3*w**5.\nAnswer: 1023*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35\/1*2\/(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 31, 33?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 160662478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -326 or -328?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of q**5\/20 - q**4 - 10*q**3\/3 - 159*q**2. Let n be m(9). Let a(y) = -2*y - 7. Give a(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 252 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -124015*-446\nAnswer: 55310690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence too when three letters picked without replacement from {o: 5, y: 5, t: 8}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 13736042 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y**5 + 110*y**4 - 330*y**3 - 4940*y**2 + 325*y + 4830 = 0. Calculate y.\nAnswer: -23, -6, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-4))\/(r\/(r\/(r\/(r*r**(2\/9)*r)))*r)*(r**(2\/29)*r*r)\/(r\/(r*r**(2\/21)*r)) assuming r is positive.\nAnswer: r**(706\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85) + -3*6*sqrt(85))\/sqrt(5).\nAnswer: -17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 8:17 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 269*g**2. Let n(s) = -5*s**2 - 3*s. Determine n(q(p)).\nAnswer: -361805*p**4 - 807*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 14039 + 16834?\nAnswer: 30873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-7) - (-4)\/14. Let g = 2\/15 - 23\/60. Sort x, 6, -1, g in decreasing order.\nAnswer: 6, x, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 71951850 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n**2 + n - 11. Let x(b) = 6*b**2 + 2*b - 16. What is 7*a(k) - 5*x(k)?\nAnswer: -2*k**2 - 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/(-72)*29493\/(-226)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 16, -11, 94812?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of -i**6\/60 + 37*i**5\/10 - 1825*i**4\/8 - 37*i**3\/3 + 1369*i**2 - 91*i - 2. Let j(d) = 0. What is d?\nAnswer: -1, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5 + 3)\/2*-5. Suppose -5*q = -2*o, -2*o + z = -3*q + 1. Suppose -4*b - q*k + 54 = 0, -k + 33 = 3*b + 3*k. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10\/(4\/((-4 - -90) + -4))?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -5, 158, 5, 4537, 2 in ascending order.\nAnswer: -5, -4, 1, 2, 5, 158, 4537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1133190 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add -602852.77774 and -1.4.\nAnswer: -602854.17774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 370 = 3*f + 338, -1101*f + 13218 = 3*s for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1476*j + 590*j - 108943 = 501*j - 38206 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 161 is divided by 35.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 74 + -75. Let q be (0 - (-64)\/(-36))*v\/(-2). Suppose 0 = -2*u - 3*l + 9 + 3, -5*l = -20. Are q and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d + 53. Let x = -2 - -2. What is the tens digit of o(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((6*sqrt(5200)*1)\/((1*-1*sqrt(28))\/sqrt(7)) + -2 + 1).\nAnswer: 1 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-5 + sqrt(325) - sqrt(13)) + (sqrt(637) + -2 + sqrt(637))**2*-3)*-5.\nAnswer: -860*sqrt(13) + 38320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 440209 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 217340527723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r**5 + 20*r**4 + 8*r**3 - 168*r**2 + 252*r - 108 = 0. What is r?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2 + 1 + 66*p + p**2 - 65*p + 1. Calculate s(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cgcmmmmcmmcgmmc. Give prob of sequence cm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 4, -2*v - 2*a = -0*v + 408. What is v rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 - 6*d**2 - 5*d + 2. Let a be x(-5). Suppose 3*j + 81 = -3*b, a*b = 5*j - 0*j + 149. Let k = -11 - j. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1419 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - -2) + 16 + (-12 - (11 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(1 - (-3 + 1)). Let s = o - -5. Solve -6*w = -w - s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48184*n - 864 - 863 + 1727.\nAnswer: 48184*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/2 + 16\/32. Let h(o) = -o**2 - 4*o + 2. Let y be h(-4). Put p, 3, y in descending order.\nAnswer: 3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = c + 8. Let m(y) be the third derivative of -1\/6*y**3 + 1\/30*y**5 + 9*y**2 + 0*y + 0 + 1\/12*y**4 + 1\/120*y**6. Calculate m(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 - -5. Suppose 0 = 7*l - 4 + 11. Let o = 0.2 - 0.5. Which is the closest to -1?  (a) i  (b) l  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 290 and 609.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143) - sqrt(143)*-1 - sqrt(143))*1)\/(sqrt(396)*-2).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/5*(-5)\/1. Let g(h) = -h + 0*h + 11*h**2 + 0*h. Let u be g(r). What is the greatest common factor of u and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -101 - -110. Calculate the highest common factor of p and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 26 = -20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.68*-5.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -78, -104, -130, -156, -182, -208?\n\"Answer: -26*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*b**2 - 1 + 1)*(119 - 256 + 513)*(5 - 5 - 2*b) in the form t*b**2 + s*b**3 + x + j*b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1965 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174*r - 15*t = 173*r + 4 - 195, 0 = -r + 5*t - 61 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 14, 165, 464, 911, 1506, 2249?\n\"Answer: 74*l**2 - 71*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 3*l**2 + 3*l - 4. Let f be r(4). Let v = 11 + f. Put 1, v, 4 in ascending order.\nAnswer: 1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 + -26. Let i = -0.1 - -0.4. Which is the closest to 0?  (a) i  (b) 0.4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.04022 * 0.040209\nAnswer: -0.00161720598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b**2 + 3*b + 4. Let d(u) = -3 + 2*u**2 + 9*u**3 - 2*u**3 - 6*u - 8*u**3 - 6*u**2 + 2*u. What is 3*d(h) + 4*g(h)?\nAnswer: -3*h**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*d - 11*d - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 132947.29 to the nearest ten.\nAnswer: 132950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1650615 (base 8) to base 15.\nAnswer: -971a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 2 + 4 = 0. Let t = u + -1. Suppose -t*x + 56 = 2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3*b**2\/8 - 8463*b\/8 - 388455\/4 = 0.\nAnswer: -2726, -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 5*p + 17, -5*v - 4*p - 3 = -2*p. Let b = 3 - v. Is b\/(2 - (-36)\/(-19)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 36, 48, 74, 120, 192, 296, 438?\n\"Answer: a**3 + a**2 + 2*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 4.6. Let h = 0.1 + o. Let t = h + 0.294. What is t rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 27*v - 26*v + 3 + 3. Let g = 2 - -1. Let h be 4\/6 - 2\/g. Determine s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + 6. Suppose -2 = 3*c - b. Suppose c*z - 2*w - 31 = -4*w, -3*z = w - 26. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 379548876 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -11. Suppose -2*n + 14 = -k - 4*n, k - 16 = 4*n. Let d = k + f. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 63921258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of -b**3\/6 - 241*b. Let k = -13 + 15. Let n(c) = -4*c**2 + 15*c**k + 34*c**2 - 9*c**2. Give n(x(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 600546313?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 243 - 262 = p, -p = -2*v + 37. Solve 0 = -15*s + v*s - 24 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of i**5 + 61*i**2 - 52*i**2 - i**5 - 122*i**6 - 1 wrt i?\nAnswer: -14640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152*l - 2 + 2.\nAnswer: 152*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -613, -747, -881?\n\"Answer: -134*h - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and -458\/669 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25)\/(1150\/(-161)) + (142\/(-4) - 3) + 1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = z + 206 - 198, -154 = 23*q - 4*z for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*j - 99 - 252 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 19  (b) 4  (c) 1\/1624\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-12\/7)*w*w*w**(-1))\/(w**(-2))**(-1\/14) assuming w is positive.\nAnswer: w**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 + 903.565067726?\nAnswer: 903.865067726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -1\/8  (b) 2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -4*q**2 + 42*q + 33. Determine p(15).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (-4 - 7 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/37)*u**2)\/(u*(u**0\/u)\/u*u)**(-2\/13) assuming u is positive.\nAnswer: u**(76\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1146 a factor of 316915986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9002361 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 + 29*c**2 + 97*c - 25. Let u be g(32). Suppose 4*d - j = 35, -d + u*j = 6*j - 5. Solve 3*q = -q - 3*w, d = -2*q + w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 544 - -2?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -9*x**5\/2 + 21*x**4\/2 + 36*x**3 - 108*x**2 + 24*x + 72 = 0.\nAnswer: -3, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 2980812.\nAnswer: 1\/2980812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - 1 - 11. Let d = 60 - 39. Factor d*u - 2*u**2 + 11*u**2 + 6 - n*u + 3*u**2 + 3*u**3.\nAnswer: 3*(u + 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -35*f**2 + 27*f. Let h(y) be the first derivative of -2*y**3\/3 - 159. Determine o(h(c)).\nAnswer: -140*c**4 - 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3*t - 2. Let i(k) = 8*k - 6. Let w(p) = 3*f(p) - i(p). What is w(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -13*u + 1. Let m be f(-1). Suppose -4*j + 6 = -m. Suppose -j*t + 6*s + 133 = 3*s, t - s - 27 = 0. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12461 = 33*p - 21001. Is p a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -13. Put 5, o, -1 in decreasing order.\nAnswer: 5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 4. Which is smaller: q or 143?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5 and 82283021.\nAnswer: 82283026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/2040 + 1062\/5508?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*m, 3*d + m - 2*m = -8. Which is the nearest to d?  (a) 0.1  (b) 0.2  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 48508 (base 10) to base 12\nAnswer: 240a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*4\/(-6)*(-6)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 649743917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, -9, 2108, -3 in decreasing order.\nAnswer: 2108, 5, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -518*m**5 + 10*m**3*v + 5648*m*v wrt m?\nAnswer: -10360*m**3 + 60*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.17, 1, 0.06, 1\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 174233*v**3 - 187177*v**2 wrt v.\nAnswer: 1045398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.336 + 20.1\nAnswer: 19.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -5*(-2 + 1*((-2*sqrt(832) - sqrt(832)) + sqrt(832)) + -2)*-1)**2*3.\nAnswer: 10560*sqrt(13) + 251052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 + (-9)\/(-12)*4. Suppose a = -3*q + 8*q - 540. Does 41 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -5*c + 9. Factor -f + 4 - 4 + f**c.\nAnswer: f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48 = -g + 2*x + 42, 0 = 4*x - 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*x + 89*x - 1140 = 6*x. Solve 4*w - q = 2*w + x, 0 = -q - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -0.0958, -9 in decreasing order.\nAnswer: -0.0958, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (24\/16)\/(6\/8). Factor -4*d**2 - f*d**3 + 0*d**2 + d**4 + 5*d**2.\nAnswer: d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 364770084 a multiple of 2338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 + 18*r**2 - 14*r - 54. Let k be t(17). Let m be 11\/(-13) + 8\/(-52). Sort m, -4, k, 4.\nAnswer: -4, k, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.01  (b) 226  (c) -351  (d) 0.4  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 3 = 5*l, d + l - 19 = 3*d. Is 5 a factor of (6 + d)\/(1\/(-25))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*j**2 + 18*j**2 + 28735 - 28735.\nAnswer: 26*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(9 - 174\/18). Let a(c) = 6*c**3 - 38*c**2 + 10*c + 14. Let o be a(x). Solve -4*j = 4*r - 7*j + 2, -5*j = -4*r + o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * 78193514.\nAnswer: 39096757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -30.67 - -7576164724\nAnswer: 7576164693.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 46\/(6\/3) - 1. Let l be (32\/(-20) - -2)\/(1\/10). Let f = v + l. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q + f + 11, -21*f = 4*q - 18*f + 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 5*s = 0, -18*d + 13*d + 10 = -5*s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 7, -2826, 0, 4\/7, -17, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 + 4*x - 9. Suppose -20*g + 105 = -95. Calculate the smallest common multiple of m(-7) and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1348946?\nAnswer: 2, 37, 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-13)\/(-3) + (-12)\/36. Solve -d*i - 5*a = 2 + 12, -3*i - 2*a - 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 93125 = -93096 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -293076, -293088, -293114, -293160, -293232, -293336, -293478, -293664?\n\"Answer: -n**3 - n**2 - 2*n - 293072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -259*p = -262*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 504804449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 160 divide 747550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -152 - -155. Suppose -q + q = y*q. Solve -2*o - p - 4 = q, -2*o = o + 5*p + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4573 is divided by 4552.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + (sqrt(130)*2)\/sqrt(10))**2 + 5 + 4 + 0 - 6*((-3*sqrt(117)*-2)\/(sqrt(9) - 4*-1*sqrt(9)))**2.\nAnswer: 342\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -a42 (base 11) to base 8\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 - 5. Let y(c) = 34*c + 1. Is y(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 5:56 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 624.1028 nanograms?\nAnswer: 0.0000000000006241028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.34+1838683\nAnswer: 1838682.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 4*i = 21, -2*i + 10 = 4*w + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 220 = 3*b. Let j = b + -26. What is the lowest common multiple of 3\/((-13)\/(234\/(-3))) and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -121*t + 139. Let j be s(20). Let y = -253193\/111 - j. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -71.8, -0.4, 36, 2\/7 in decreasing order.\nAnswer: 36, 3, 2\/7, -0.4, -71.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(2736) + (sqrt(2736) - (-1 + sqrt(2736) - sqrt(2736)))) - sqrt(95)\/(sqrt(20)\/sqrt(4) + sqrt(5))*5)**2.\nAnswer: 447*sqrt(19) + 421855\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of 31*o**5\/30 + 37*o**3\/3 + 112*o**2. What is the derivative of u(c) wrt c?\nAnswer: 124*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 6 - 663*p - 1.\nAnswer: -663*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 7. What is the nearest to 1\/3 in 0.3, -5, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 3*t - 26 = t, 31*t - 155 = 0. Solve -m = -259*x + 263*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -10*w - 521. Let l be f(-53). Solve x = -l*x - 40 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - 0 - (-11 + 11 + 8 - 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 42*l - 145. Determine w(-7).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y + 43*y - 24*y - 12*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, s: 1, r: 4, p: 2, m: 1}. What is prob of picking 1 k and 1 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -118\/23*h - 120\/23 + 2\/23*h**2.\nAnswer: 2*(h - 60)*(h + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -97 + 25 - (-24 - 79).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -4*n. Let w(i) = -i**3 + 36*i**2 + 41*i - 129. Let t be w(37). Suppose 9*d = 28 - t. Give f(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -6, 1494 = 4*x + 3*o + 512. Let m = 2682\/11 - x. Let i = 3 - 2.6. Which is the biggest value?  (a) -0.3  (b) m  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4321 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2831.6424 months?\nAnswer: 0.2359702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 6\/11, -0.08, -156, 1\/7 in increasing order.\nAnswer: -156, -1, -0.08, 1\/7, 6\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*a + 3394 = -9926. What is the greatest common divisor of 40 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(8\/(-9)))\/(16\/(-160)). Calculate the highest common factor of 873 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 22096.\nAnswer: 110480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78751*q + 78722*q + 551 = 0 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 38\/3 + -155\/12. Let x = -12 - -11.94. Let j = 0.56 + x. What is the nearest to n in j, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 17 = 3*d, -8*d - 3*l + 16 = -6*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5694 * -0.4.\nAnswer: 2277.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 166*y**2 - 7. Let r(x) = 71362*x + 71369*x - 142729*x. Calculate t(r(s)).\nAnswer: 664*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1166 + 1161. Which is the smallest value?  (a) 14  (b) 3\/5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1007886.8 and 0.\nAnswer: -1007886.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c - 4*c + 6*c + (3 - 4 - 1)*(-5 + 5 + 3*c) + (3 - 3 + c)*(4 - 3 + 0))*(-4 + 6 + 0).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 402\/1876*(-7)\/2. What is the second biggest value in -2\/11, -1\/5, -1\/2, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-4*sqrt(76)*4)**2 - ((sqrt(19) - (sqrt(38)\/(sqrt(50) + sqrt(2)))**2) + (-5 + sqrt(19) + -4)**2).\nAnswer: 17*sqrt(19) + 11203075\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 663*k - 62947. What is q(95)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -498*l + 2*c - 14 = -501*l, 3*l + 4*c - 16 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lnq when three letters picked without replacement from lxaxqalanal?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 8724.126 millimeters?\nAnswer: 0.008724126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 157245, 628987, 1415225, 2515959, 3931189?\nAnswer: 5660915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1622, -3245, -4868?\nAnswer: -6491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -500 - -343?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 33\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(12)\/(sqrt(4)*4)*1 + -5 + (-3*sqrt(75))**2 + sqrt(75) + 1.\nAnswer: 7*sqrt(3)\/2 + 671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 35974 and 2140453?\nAnswer: 4280906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -843 - 831 = 4*l - o - 1660, 0 = l + 2*o - 3*o + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 255069 and 1474.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -259119*q**4 - 2764934*q**2 wrt q?\nAnswer: -6218856*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60 - 34. Let l = r - 47. Is 2 a factor of (-111)\/(-21) + 6\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9901?\nAnswer: 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -951*t + 2. Suppose -3*w + 0*j + 3 = -3*j, 0 = -2*w + j. List the prime factors of h(w).\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/4886 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 18661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5 - (-403 + -4))*(-2 + 1). Let i = 412 + w. What is the greatest common factor of 22 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 295978732.\nAnswer: 2, 7, 19, 556351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 112792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 greater than 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -310?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 29, 25, 3, 4 in increasing order.\nAnswer: -4, 3, 4, 25, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 4, 4*u - d = -u - 1. Suppose h + h + 5*z - 20 = u, 0 = -4*z - 8. Calculate the remainder when 38 is divided by (6\/4)\/(h\/200).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -u**4\/3 + 35933*u**3\/3 + 47917*u**2 - 35931*u - 215622 = 0.\nAnswer: -3, 2, 35937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 28 * -1728.5\nAnswer: -48398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294505 is divided by 294346.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, 4, -2806, -15 in descending order.\nAnswer: 4, 1, -4, -15, -2806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/2)\/(528\/(-96)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -541556, -541557, -541558, -541559, -541560, -541561?\nAnswer: -541562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.01 and 3619173.\nAnswer: 3619173.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 242539011 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -7. Suppose 4*r = -0*f - f + 2, 5*r + g = 3*f. Suppose -3*j = 2*s - 69, -123 = -2*s - f*s - j. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 24*f - 13*f + 182 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*g - 36, g + 48 = 4*w - 115. Let t(p) = -p**3 + 5*p**2 + 4*p + 9. Let v be t(5). Suppose -2*d = -w - v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10233, -10183, -10097, -9975, -9817, -9623, -9393?\nAnswer: -9127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (28\/(-12) + 1)*(-3)\/(-2). Let q(a) = 4*a - 1. Calculate q(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27636 divided by -47.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) + (sqrt(77) - sqrt(77)*3 - sqrt(77)) - sqrt(77)) + sqrt(77))\/sqrt(7)*-4*5)**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuu. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -22\/47?  (a) 0.5  (b) 2.6  (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 61016037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 8 = 0, 0 = -5*c - 4*z - z + 120. Let t = 14 - c. Let p = -3 - t. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (384 - (-2 - -5)) + 1 + -1. Differentiate u*s - 28 - 64 - 237*s wrt s.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -33796 + 17221. Let a = -1044199\/63 - m. Calculate the common denominator of 4\/9 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211*q + 0 - 302 = 60*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = 3*w - 2*n, 0 = w + 2*w + n - 165. Let a = 98 - w. Calculate the remainder when a is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -126, -447, -1074, -2109, -3654, -5811?\nAnswer: -8682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19\/2?  (a) -0.5  (b) 1\/4  (c) 1\/3  (d) -7  (e) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -43\/17?\nAnswer: -43\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -145.06922?\nAnswer: 14.506922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + -4476?\nAnswer: -4480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**1*f)\/f*f**1\/f*f*f**(-2\/9)*f**4*(f**(-1\/2)*f*f)\/(f*f*(f\/((f**(-3\/7)\/f)\/f))\/f)*(f\/f**(-2\/5))**(1\/41) assuming f is positive.\nAnswer: f**(100307\/25830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.99 + -4. Let a = 0.03 + d. Let l = 0.0199955 - a. Round l to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 - 4*u**2 + 8*u + 7. Let j be y(-5). Let h be (-68)\/j - 2\/4. Which is greater: 7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/3 or 2\/1223?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c*c**(-2\/11))*(c*c**(-1\/4)\/c*c*c)\/c*(c*c*c\/c**(-3))**(12\/11) assuming c is positive.\nAnswer: c**(329\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.643 + 0.017. Let t = 26.66 - g. Let m = t + -25.9999975. What is m rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -896, -3551, -7962, -14117, -22004?\nAnswer: -31611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**4*z + 8509243*a**3*z**3 - 1638*a*z**3 - a*z**2 - 13*a*z - 14*z**3 wrt a?\nAnswer: -12*a**2*z + 51055458*a*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -f**3 + 11*f**2 - 23*f - 35 = 0.\nAnswer: -1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*d - 50. Suppose 0 = -3*q - 4*y - y + 335, 0 = d*y + 10. Calculate the greatest common factor of q and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6070 - 6081. Let p(f) = -12*f - 123. Calculate p(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 19 - (-2)\/2*1. Find the common denominator of -51\/22 and (-1)\/3*(-3)\/f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**5\/20 - 3*z**4\/4 + 7*z**3\/6 + 11*z**2\/2 - 5*z. Let s(a) = -3*a + 14. Let n be s(2). Calculate x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2224.9 + -2084. Let h = s - 161. What is h rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -109*a**5 + 15203*a**4 + 17*a**2 + 3199*a - 9 wrt a.\nAnswer: -6540*a**2 + 364872*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14 is divided by 3\/((-2)\/(24\/(-9)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-18)\/(-4) - 4)*-6. Suppose 2 = -3*q - 5*y, -6*q + q + 5*y = -10. Sort c, q, 4 in ascending order.\nAnswer: c, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*((-4 - -2) + 4). Suppose -g + 7 = -i. Suppose -5*w - f = -9 - 19, 0 = w - 3*f + 4. What is the third smallest value in w, i, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 3*w - 3*w)*(-3 - 1 + 2) + (w + 0 + 0)*(76 - 72 + 166).\nAnswer: 168*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -d - 4*d + 2*c, 3*c = -2*d + 3. Suppose -2*n + 288 = l, d*l + 584 = 2*l - 4*n. Suppose 8*q - l = 6*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 1 - 3)*(-3*r**3 - r**3 - r**3) + 4*r**3 - 3*r**3 - 10*r**3)*(r**2 + 2*r**2 - r**2).\nAnswer: 22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n**5*n*n*n**(-3\/7))\/((n\/n**5)\/(n*(n\/n**0)\/n))*n**(3\/7)\/(n*n\/(n*n**(-1\/6)))*n**(-1)\/(n\/n**(2\/3)) assuming n is positive.\nAnswer: n**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -35.5 - -29. Let s = 2.5 - u. Let y = s - 21. Is y smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-53465)\/17)\/85 + 110?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 27 - 3. Suppose -f*d + 2*d + 72 = 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-2*sqrt(112) + 1)**2 + -5 - ((2*sqrt(252))**2*5 + -2)*2)*6.\nAnswer: -57774 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 3*x = 93, -5*s - 219 = -10*s - 3*x. What is the highest common factor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 4 = w. Let d(f) = -6 + 3*f - 4*f + w. Let n = -39 + 36. What is d(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -165 (base 9) in base 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 138*i**2 + i - 435?\nAnswer: 276*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v + 2. Let j(q) = 3*q + 2. Let h = 18481 - 18478. Give h*j(k) - 2*u(k).\nAnswer: 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of 0*r + 3\/8*r**4 + 0*r**2 - 1\/9*r**3 + 3 - 7\/30*r**5. Suppose c(n) = 0. Calculate n.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 111 = -243. Let b = n + -215. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 5*y**2 - 6*y - 3. What is w(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 0 + 8 + 3*x**2 + 22 - 4*x**2 + 0 - 11. Let q(d) = d - 5. Let p be q(5). What is r(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.071 - 0.129. Let s = 2 + -3. What is the closest to s in -4, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 171, 173, 175?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.206 and 0.25171469576.\nAnswer: 0.04571469576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 538.3 + -564. Let t = 2.7 + o. Let y = 25 + t. What is the closest to -2\/7 in y, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 19078300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25 + 23. Which is the closest to 2?  (a) 3  (b) -4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6453*m - 6358*m + 4226*m)*(-2*m**3 + 0 + 0).\nAnswer: 17170*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 13 = 3*l - 2*a, 2*a = -5*l + 33. Suppose 5*u - 15 = -3*k, -4*k - 5*u = -2*k - 15. Suppose l*o = -k*o + 80. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20*x**3 + 7002*x**2 - 15833148*x?\nAnswer: 120*x + 14004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -2268\nAnswer: -1\/2268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1137*r + 1952*r + 2552*r)*(r - r + r**2).\nAnswer: 3367*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-53)\/106)\/((-1)\/(-2))*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 5:12 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**29)**(-1) assuming o is positive.\nAnswer: o**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from drd. Give prob of sequence ddr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 5. Let l be -2 - (a + 2)*-5. What is the remainder when 2\/l - 312\/(-14) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 AM and 2:30 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2 + 535676*u\/3 - 178558\/3.\nAnswer: -2*(u - 89279)*(3*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -468 divided by -26.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 + 13. Let p be 3\/g + 11802006\/(-42). What is p rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1340 - -172859\/129. Let y(n) = n**3 + 9*n**2 - 6*n + 41. Let l be y(-10). Is l > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12353 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 21*k - 8. Let g(l) = 22*l - 6. What is 3*a(r) - 4*g(r)?\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -177148 + 56.36\nAnswer: -177091.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12, 15, 12, 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 678 - 751.2. Let f = -1.2 - z. Let s = f + -72.72. What is s rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15034 by 245.\nAnswer: -15034\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2051582524503 + -149.\nAnswer: 2051582524354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (z - 99*z**2 + 49*z**2 + 52*z**2 - 11)*(11*z**2 + z**2 + 0*z**2) in the form p*z**3 + s*z**4 + d*z + b*z**2 + f and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1224 - -1226. Solve z*o + a + 3 = 0, -o + a + 6 = 3*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c + 10. Let a be v(6). Let f be 1 + (-1)\/(a\/20). Is 1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -621, -2458, -5513, -9786, -15277, -21986, -29913?\nAnswer: -39058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 529842, 1059705, 1589566, 2119425, 2649282, 3179137?\n\"Answer: -m**2 + 529866*m - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2 + 15*v + 8. What is h(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 68315 and -3?\nAnswer: -204945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -2*d. Let l be (1\/6)\/((-4)\/(-72)). Let g(w) be the second derivative of 0 + 0*w**2 - 5*w - 5\/3*w**l. What is g(q(t))?\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of j**5\/10 - 5*j**4\/24 - 5*j**3\/6 + 31*j**2. Let p(h) = 15*h**2 - 12*h - 12. Determine -12*b(i) + 5*p(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 362 - 365.06. Let n = -0.2 + 0.26. Let g = n + h. Which is the smallest value?  (a) -4  (b) g  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -6*u**3 - 2*u**2 - 5*u - 8. Let t(r) = 190*r**3 - 8 + 199*r**3 - 4*r - 2*r**2 - 394*r**3. What is 4*o(d) - 5*t(d)?\nAnswer: d**3 + 2*d**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 4*a**2 - 7*a + 3. Let q be z(-7). Let r = q - -42. What is r rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 405295510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d + d + d**3 + (-127 + 2*d + 7*d + 129)*(2*d**2 - 5*d**2 + d**2).\nAnswer: -17*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/463 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -428 divided by 1014414.\nAnswer: -214\/507207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6069\/(-255) + 1\/(-5). Is (7 + o\/6)*(-3389)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 498682631 from -0.004.\nAnswer: -498682631.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o**4\/4 + 13177*o**3\/4 + 43506957*o**2\/4 + 649195907*o\/4 - 736262537\/2 = 0. Calculate o.\nAnswer: -6581, -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 631031 is divided by 90030.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 - 12. Suppose 0 = -q + 3, 3*y + z = -q + 22. Determine l so that 439 + 2*l**2 - y*l - 4*l**2 - 441 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2688.62248 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5*o - 35 - 77 = 0, 5*o = 5*b - 600. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 623 and -2.6?\nAnswer: -1619.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**2 + 5*o - 2. Suppose 7*y - 4*y = 9. Let q(t) = -1 - 2*t**2 + t**2 + 6*t - 4 + 3 + 3*t**2. What is y*j(l) - 2*q(l)?\nAnswer: 2*l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2*(sqrt(85) - sqrt(85)*-1)*-3)\/((sqrt(5) + sqrt(270)\/sqrt(6))*6).\nAnswer: -3 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 743.3 + 144578289.\nAnswer: 144579032.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 210829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1322 + 1080 + 8741*p - 12096*p wrt p.\nAnswer: -3355","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 50\/9 and (4\/96)\/((-10)\/(-344))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4709511?\nAnswer: 3, 19, 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 239 and 10?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 9:03 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*z**2 + 126*z - 68*z - 58*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-10)\/3)\/((-8)\/(-12)). Let j be (22\/55)\/((-4)\/z). Factor 0 + 1\/2*l**4 + 1\/2*l - j*l**2 - 1\/2*l**3.\nAnswer: l*(l - 1)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19750635*i**3 - 9875283*i**3 - 9875356*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -219320 + 105137. Round b to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 3)*(-113*a + 60*a - 357*a).\nAnswer: -820*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -336241140 + 37.91?\nAnswer: -336241102.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 59 = -n, 0*w = w - 5*n + 13. Let l = w + 19. What is the tens digit of 47\/3 + (-3)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3479*t**2 - 5*t. Suppose 3*o + 0 = 18. Let p = o + -1. Let u be a(p). What is u rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 3  (b) -2\/7  (c) 2  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.01  (b) 6  (c) -0.089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1.1, -1, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3*b - 264 = 0, 0 = b + 2*b - 12. Suppose -3*j + a + 21 = 0. Suppose j = -2*r - 29. What is r rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/246 and -5\/13938.\nAnswer: 571458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2704 divided by -27263\nAnswer: -2704\/27263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = 3*a - 27, 4*a + 3*l = 2*a + 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**2. Let q(o) = 2*o**2 + 46*o + 5930. What is q(d(k))?\nAnswer: 8*k**4 + 92*k**2 + 5930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2010440 is divided by 670126.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 34, 104, 184, 280, 398, 544?\n\"Answer: q**3 - q**2 + 66*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 703616 divided by 239?\nAnswer: 2944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*k - 56 = 111*k - 4*i, 42 = -3*k + 3*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -411\/4?  (a) 2.3  (b) -3  (c) 3  (d) -0.3  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j*j**(7\/2)*j)\/j))**20)**(14\/3) assuming j is positive.\nAnswer: j**(-980\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-4 + sqrt(8)\/sqrt(4) + sqrt(2) - -4*sqrt(72))**2 - ((sqrt(14)\/sqrt(175))**2 + (sqrt(2) + sqrt(800) + sqrt(2))**2)).\nAnswer: -208*sqrt(2) + 9923\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**2\/5 + 34811364*l\/5 - 69622716\/5 = 0. What is l?\nAnswer: 2, 11603786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 340456 and 2752.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39\/124 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 766*m + 767 with respect to m.\nAnswer: 766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2499540409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/8)\/(-1)*(-22)\/(-77)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-6))\/(1\/(-6)). Let o(s) = -4*s + 26. Let z be o(6). Find the second derivative of -5*i**v - 4 + 2*i + z + 2 wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1632 + 2004. Calculate the remainder when h is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -2) + 2 + 0 - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54860344?\nAnswer: 2, 7, 11, 29, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 4:22 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 11. Let x be z(-9). Suppose 3*q = x*q + 2. What is the derivative of -2 - 2 + 12*v**q + 1 + 1 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 4*n - 21. Let u be v(4). Suppose -8 = -5*t + 3*t. Put 3\/8, u, t in increasing order.\nAnswer: u, 3\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-96)\/(-54) - (-2)\/9. Let b(t) = t - 5*t + t**2 + 21 + 5*t - m*t**2. Does 21 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 291 = 2*l + 157, -42*l + 44*l + 2*x = -x + 142 for l.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1832.012 + 1832. Which is the nearest to -2\/5?  (a) n  (b) 0  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 90 and 25211934?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 322*t**4 - 24 - 649*t**4 + 2*t**5 + 324*t**4 + (t**4 - 3*t**4 + 0*t**4)*(3*t - 5*t + 0*t).\nAnswer: 6*t**5 - 3*t**4 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -3*n**3 - 6*n**2 - 7*n + 8. Let f(b) be the second derivative of 3*b**5\/20 + 5*b**4\/12 + b**3 - 7*b**2\/2 - 5*b + 2. Calculate 6*f(o) + 5*u(o).\nAnswer: 3*o**3 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4725533532 - -4754479369.19. Let n = -28945875.18999879 + a. Let j = 38 + n. What is j rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*r = -16*r - 117*r + 7285 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 498728?\nAnswer: 2, 31, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 4*q + 128. Let s be m(0). Suppose 230 + s = 2*b. Calculate the remainder when b is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.73 - 26.87. Let k = 26 + j. Let d = -7.6 - k. What is the nearest to -2\/3 in -0.1, d, 1.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/49, -2.06, 9\/4, -47 in ascending order.\nAnswer: -47, -2.06, -1\/49, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-4)\/x**(-6))\/(x**5*x*x*x**(2\/11)*x))**29 assuming x is positive.\nAnswer: x**(-1972\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*t**2 - 2*t**2 - 3*t**2 + (-6 + 4 + 3)*(2 - 4 - 3)*(2*t**2 - 184*t + 184*t) as d + x*t**2 + a*t and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7002)\/1945)\/(2\/5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 397208?\nAnswer: 2, 7, 41, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -0*v. Suppose -3*c - 3 + 78 = v. Suppose 5 - 1 = -l - 4*u, -c = -2*l + 3*u. Calculate the smallest common multiple of 6 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cmm. What is prob of sequence cm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40829*b**2 + b + 4247 wrt b.\nAnswer: 81658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f - 3*f + 0*f)*(3 + 2 - 4)*(22 - 12 + 19) + (2 + 9 - 17)*(5*f + 4*f - 3*f).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o\/(o*o\/o**(4\/3))*o\/(o*o**(-6)*o)*(o**1)**32*((o\/o**4)\/(o\/(o\/o**(1\/10))))**(-42) assuming o is positive.\nAnswer: o**(2513\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -98, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05158 rounded to three dps?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*t**5 - 192*t**4 + 199*t**3 - 66*t**2 - 12*t + 8 = 0. What is t?\nAnswer: -2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 + 5)\/(4\/10). Suppose -c*r = -3*w - 5429, -4*w - 5427 = -5*r - 0*w. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -7, 20.\nAnswer: -7, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of l**4\/4 + l**3\/2 - 6*l**2 - 19*l. Let q be o(2). What is the smallest common multiple of (6 + -1 - 3)*q\/4 and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sqqqqqqq. What is prob of picking 3 q?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 4766, 4768, 4770, 4772, 4774, 4776?\n\"Answer: 2*g + 4764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > 1\/26058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 2418*f**2 + 61*f**3 - 2428*f**2 + 15*f**4 - 4*f**4 + 7*f - 61*f**3 in the form z*f**3 + a + o*f + l*f**4 + r*f**2 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + 93*o + 442. Let n be j(-93). Calculate the greatest common divisor of 26 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 + 60*s + 22203. What is a(182)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -7*m + 31. Let i be x(6). Is (853\/4)\/(405\/36 + i) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, w: 7}. Give prob of picking 1 y and 1 w.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 3044*c - 583. Is p(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9.4 times 52909\nAnswer: 497344.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -780 - -828. Let f(q) = -2*q**3 + q**2 + q - 1. Let m be f(1). Let y be -1 + 0 - -32 - m. What is the greatest common factor of x and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 36 by 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -212 - -211. Which is the closest to 0?  (a) i  (b) 1\/8  (c) -0.088\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1172 + -790. Is (1*(-5 + 4))\/((-1)\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 490\/(-1*(-6)\/(-5)*(-585)\/351). Solve 0 = -44*h + 9*h - f for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/324 and 1\/612?\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 36969746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let q(l) = -l**3 + 11*l**2 + 91*l - 173. Let a be q(16). Let f = -17 - -22. Put a, -2, f in increasing order.\nAnswer: -2, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/4 and 33.15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, -0.1, -1.9 in ascending order.\nAnswer: -2, -1.9, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 3*s**2 - 2*s - 1. Let t be i(2). Suppose -106876 = -77*l - 32956. Calculate the greatest common divisor of l and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 14, 21, 24, 17, -6, -51?\n\"Answer: -h**3 + 4*h**2 + 2*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32813756 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 24276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12*6\/24 - (-1)\/1. Let b = -103 - -157. Suppose 2*l - o*l = -b. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -7*u**3 - 9*u**2 + u + 2. Let r(w) = w**3 + 3*w**2 + w. Let y(v) = q(v) + 6*r(v). Give y(10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.04, -1.204713, -2 in ascending order.\nAnswer: -2, -1.204713, 1.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.8 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 92*i**2 + 2*i + 1. Let l be q(-1). Let h = l - 57. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17753 divided by 137?\nAnswer: -17753\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -273540 divided by 68385.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 824 = 4*j, 4*b = -62*j + 66*j - 848. What is the remainder when 2099 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 4102?\nAnswer: 20510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 364\/8405?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 2 e, and 1 m when four letters picked without replacement from {q: 1, f: 4, u: 2, m: 1, e: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 643211434?\nAnswer: 2, 321605717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c - 1. Let d(t) = 11*t - 5. Give -d(l) + 4*y(l).\nAnswer: -15*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -21*q**4 + 285*q**3 - 483*q**2 - 1185*q - 396 = 0?\nAnswer: -1, -3\/7, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*r**2 + 6*r**6 - 4*r**6 + 3*r**2 + 14*r**6 wrt r.\nAnswer: 1920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -38*b**2. Let x(w) = -41*w**2 + 1501 - 41*w**2 + 31*w**2 - 1501. Calculate h(x(m)).\nAnswer: -98838*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 + 18*o - 66. What is d(13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 7, m: 1, w: 10}. What is prob of sequence mwvv?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/3452 and -19\/9493?\nAnswer: 37972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {t: 4, y: 2, i: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 0, 23, -5, -160 in decreasing order.\nAnswer: 23, 0, -5, -6, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -75 + 109 + -31 + 0 + 5 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -2*s + 3. Suppose 0 = -0*p + 5*p + 25. What is i(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((j**(4\/5)\/j)\/j*j)\/(j*j*j\/(j*j**(-2\/9))))\/(j**4*j**(-3\/2)))**25)**(-2) assuming j is positive.\nAnswer: j**(2215\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**3 + h**2 - h**2 + (h**2 + 0*h**2 + h**2)*(0*h + 3*h - h) - h**3 - h**2 + h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1812708 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1683 - 2022?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1217*o**2 + 50 - 648*o**2 - 405*o**2 to the form x*o**2 + r + a*o and give x.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 42220582 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + -3.6. Let k = -1.4 + x. Let n be 6\/2*(-2)\/3. Which is the closest to 0.1?  (a) k  (b) n  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6680751 + 11480751. Suppose -d + u = d. What is d rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 4*u - 20, 0 = -5*x - 2*u - 0*u - 34. List the prime factors of x*(4 + (-332)\/8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3*j - j + 3*j. Let w(l) be the first derivative of 0*l - 5\/2*l**2 + 6. Calculate w(c(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*r - 76*r - 103*r - 28*r.\nAnswer: -187*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.63 - -2.56. Which is the nearest to 0.1?  (a) -3  (b) -1\/5  (c) 3\/8  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 2*c**2 + c)*(2*c**2 - 8 + 5 + 0*c**2).\nAnswer: 4*c**4 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m + 0*m + 7 - m)*(0 - 1 + 3 + (1 - 1 + 2)*(-1 + 0 + 2) + 2 - 5 + 4).\nAnswer: 10*m + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -4*h - 7. Give k(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -420*66\/21*1*-2*30. Round k to the nearest 1000.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/3*(2 - (-10)\/4). Let z(j) be the third derivative of -j**6\/120 + 2*j**5\/15 - j**4\/3 - j**3\/6 + 171*j**2. Calculate z(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)*1*6*3)\/(sqrt(80)\/(sqrt(8)*2)*5).\nAnswer: 36*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 379998\/4 + (-4)\/(-8). Let y(i) = 0*i - 2*i - 1 + 3*i - r*i**2. Let j be y(1). What is j rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4610, 1.42, -0.8, -0.4 in decreasing order.\nAnswer: 1.42, -0.4, -0.8, -4610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 AM and 1:53 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 493 and 22916.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137*v**3 + 81397*v + 2 - 162792*v + 81395*v - 1.\nAnswer: 137*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(75) - ((2*sqrt(75))**2 + 4)) + -4.\nAnswer: -308 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4707045 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m + 44 - 4*m - 46 + 0*m + m + 2*m. Suppose -s + 1 = -2*s. Let l(d) = -d. What is s*b(p) + 2*l(p)?\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -7602 (base 13) in base 16?\nAnswer: -400b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 81840924 by 27280308.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/(-4)*22\/(-11). Suppose 0 = b - m*b + 32. Differentiate 29 - 31 - 3*d + b*d wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 920*r - 76 = 916*r, -3*r = -4*h - 62 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**3\/2 + 71*h**2\/2 - 176*h + 102.\nAnswer: -(h - 17)*(h - 6)*(3*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-2) - -2) + 6\/(-4). What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 8:57 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, y: 1, h: 14}. What is prob of picking 1 h, 1 b, and 2 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*(h*h**(2\/43)\/h*h)\/h*h**(39\/2)\/h)**12 assuming h is positive.\nAnswer: h**(10086\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by 103\nAnswer: 12\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/11 in -5, -107, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 2*u - 24, -5*j - u - 23 = -0*j. Calculate the common denominator of -103\/6 and 2\/j - 84\/(-16).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b (base 12) in base 11?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x - 2. Let g(t) = -2*t - 4. Let h(v) = -v - 13. Let l be h(0). Let q = -12 - -8. Let w be (5 - -3)*(-3)\/q. Calculate l*n(u) + w*g(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -14. Let m be 4 - 0 - (-10)\/(g - 2). Let k = m - -23. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**3 + 2*o**3 + 5*o**3 + (-5*o + 2*o + 2*o)*(0*o**2 - 2*o**2 + 0*o**2) + o**3 - 3*o**3 + 3*o**3 - o.\nAnswer: 11*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**4 - 11*z**2 + 4 + 2*z + 8*z**2 - 4*z as s*z**4 + r*z + g*z**3 + y + k*z**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 4 + 6. Suppose 3*h + 11 = m. Is 29 a factor of 3\/(-18)*58*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -3*t**3 - 7*t**2 + 2*t. Let f(b) = -b. Let j(w) = -2*f(w) - o(w). Find the third derivative of j(r) wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -1  (c) 2\/155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 - -25. Let y = a + -117\/2. What is the common denominator of 3\/(-90)*(-2910)\/(-12) and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -5*o - 25, 0 = -3*o + o - 10. Suppose z = -0*f - 3*f + 66. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*r**3 - 21353*r - 4209 wrt r.\nAnswer: -6*r**2 - 21353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 60733 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/h**(-2\/23))\/(h\/((h**(-1\/16)\/h)\/h)))\/((h**(5\/4)\/h*h)\/(h*h*h**(2\/33))) assuming h is positive.\nAnswer: h**(-2003\/12144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/171 + 176\/855. Calculate the common denominator of i and -17\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -6. Let y = h - 3. Solve -l = 5*i + 18, 3 = -2*i - y*i + 3*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91610 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, b: 2, j: 5}. What is prob of sequence hbbh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4242347881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 8, 19, 20, 5, -32, -97, -196?\n\"Answer: -b**3 + b**2 + 15*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9959956 and 40828?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.5 - -1245920382?\nAnswer: 1245920387.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4*g**2. Let s(l) = -9*l**2. Let t(k) = 6*s(k) + 14*z(k). Let o(c) = 15*c**2. Give o(t(r)).\nAnswer: 60*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/d**(8\/9)*d*d*d))**(-14\/3)\/(d*d**(-2\/21)*d*d**(-12)) assuming d is positive.\nAnswer: d**(3770\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 2*n**2 + 2*n + 16. Let r(u) = u**3 - u**2 - u. Let j(g) = 2*r(g) + s(g). Find the first derivative of j(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1919852 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2479076\/13 + -190572. Let l = 126 - r. Let v = 37 - 149\/4. Sort v, -0.2, l in ascending order.\nAnswer: v, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from huntshusuhu. Give prob of picking 1 t and 1 s.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 6*b**2 + 22*b + 27. What is z(5)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -375*j**2\/2 - 2*j - 19. Let q = 7 + -9. Let b be c(q). What is b rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.03 - -0.33. Let i = -4.6 - -5. What is the third biggest value in -4, v, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 3*w - 2*s = -234, s = -5*w + 383. Let t = 2721 - 2712. Calculate the remainder when w is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*((t*t**(-2\/7))\/t*t)\/t)**(1\/13)*((t*t\/((t*t**(-1\/12))\/t))\/t)\/t**(-1\/4) assuming t is positive.\nAnswer: t**(379\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1128 - -0.1130983. Round m to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 12*h**2 + 12*h + 18. Determine f(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 2*f + 3 + 4*f**2 - 3 to i*f + l + q*f**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -31*h**3 - h**2 + 1. Let o be b(1). Let n = 698 - 709. Let z = n - o. What is the remainder when 58 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 4*f. Let l = 40\/3 - 988\/75. Let b = l - 41\/100. Is b <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 49729\/2 + -24857. Solve y*t**2 + 0 - 3\/2*t**3 - 9\/2*t - 3\/2*t**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/105 + (-20)\/(-7) + 1. Suppose s + 4 = 4*p - 4, n*p - 12 = 0. Suppose u = -2*u + 2*l + 9, -3*u + 5*l = 0. Solve -j - u = s*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + 19*n - 79. Let i be x(-23). What is the third derivative of 6*b**2 - 39*b**2 + 161*b**5 - 3 + 15 - i wrt b?\nAnswer: 9660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5694791 micrograms in nanograms?\nAnswer: 569.4791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -17*j + 1. What is u(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 9:52 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 + 61 - (15 + -80)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-2\/13)\/(h**(2\/11)\/h)*h**(1\/4)\/h**(-19) assuming h is positive.\nAnswer: h**(11391\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010890661 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5487183 and 99?\nAnswer: 60359013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 179 and 477461557?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10141697 is divided by 482936?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 7*d**3 - 3*d + 4. Calculate the remainder when 106 is divided by n(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of j**6\/360 - 7*j**4\/24 - 2*j**3\/3 - 8*j**2. Let f(o) be the first derivative of c(o). What is the derivative of f(a) wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, a: 3, o: 5, t: 3}. What is prob of sequence coa?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q**2 + 21*q**2 - 38*q**2 + 10*q + q**2)*(-2*q**2 + 13 - 13).\nAnswer: 20*q**4 - 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4736255.\nAnswer: 5, 281, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 9*w + 12*w + 34, v = -5*w - 10. Let r(j) be the second derivative of 2\/21*j**3 + 0 - 13*j + 0*j**2 + 2\/21*j**4 + 1\/35*j**v. Factor r(s).\nAnswer: 4*s*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 47 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2120 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3885, 7769, 11655, 15543, 19433?\nAnswer: 23325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 3*l + 5*u + 334 = 0, 0 = 4*l + 4*u - 1384. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 12:54 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -4524114?\nAnswer: -4524112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 3:28 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 822119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**5 + 4 - 4 + (0 + 4 - 3)*(-8*f**5 + 10*f**5 + 4*f**5) + (f**3 - 1 + 1)*(2*f**2 + 4 - 4) + 3*f**5 - 3*f**5 + f**5.\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -106894*3.9\nAnswer: -416886.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*l + 6*l + 10*l + 19 to f*l + y and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2*n - 11 + 32, -5*d + 12*n = -57. Let u(h) = 100*h**2 + 32*h. Let j = 24 - 56. Let s(p) = -9*p**2 - 3*p. What is d*u(r) + j*s(r)?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6 - 18 + 16*k**4 + 2*k + 13 wrt k?\nAnswer: 192*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**3. Suppose 5*a + 43 - 38 = 0. Let y be h(a). Find the second derivative of 2*f - 96 + 3*f**y + 96 + 7*f wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5)\/3*(-832956)\/410.\nAnswer: 2, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 38  (b) 64  (c) 13  (d) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*l**5 + 80*l**4 - 56*l**3 - 208*l**2 - 60*l = 0.\nAnswer: -1, -1\/3, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 210332310 (base 4) in base 9?\nAnswer: 250706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -3. Let j(k) = 11*k**2 - 21*k - 6. Let t(f) = -5*f**2 + 10*f + 3. Let m(v) = -6*j(v) - 13*t(v). Give m(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 - -20.5. Suppose -69 = -73*d - 142. Put -11, d, 3, n in ascending order.\nAnswer: -11, d, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 353486192 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -17*a**3 + 5*a**2 + 12. Let f(z) = z**2 + 1. Let y(c) = 5*f(c) - o(c). Differentiate y(s) with respect to s.\nAnswer: 51*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 45.51 + -40.51. Let u = 0.911 - 0.031. Let g = u - -0.12. Put g, c, -0.4, 1\/7 in decreasing order.\nAnswer: c, g, 1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 3*r = 0, 0*r + 4 = -3*a + 5*r. Let y be 4\/(-18) + (-47)\/(-9). Suppose 3 = m - w + 4, 0 = -5*m + 4*w - 4. Solve m = a*p - p - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159 = -33*m + 105 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 105*o**2 + 2*o + 1. What is x(-1)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/8 in -2\/13, 138\/11, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the third derivative of u**5\/60 - 3*u**2. Let h(w) = 13*w**2 + 24*w. Let b(k) = -h(k) - 3*l(k). Find the second derivative of b(f) wrt f.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 9 = -5*p, -v + 5*p - 2 + 1 = 0. Solve 5*l = -4*j - 41, 6 = -v*j - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1283928 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 9*b**2 + 3*b**3 - 2*b**4 + 5*b**4 + b**2 - 16*b**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let v(b) = 4*b - 4*b - b**2. Suppose u + 0*u = 2. Let n(t) = 34*t**u - 70*t**2 + 31*t**2. Determine n(v(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 3*s + 20, -5*m + 24 = -s. Suppose -2*u + 2*p + 22 - 6 = 0, m*p + 6 = 2*u. What is the remainder when 35 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 5*w + 19 = 0, 85*w = -12*x + 62*w - 114 + 305 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2605 - 6?\nAnswer: -2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 4*r, -3*r = 4*w + 19 - 14. Solve -g + 5*m = -6*g, -r*m = g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3563 divide 3112348197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1267 divided by 181\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is a8dd6 (base 14) in base 13?\nAnswer: 11412b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13*37\/(-2405))\/((-1)\/(-25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 29\/7 - (-36)\/42. Suppose -2*n - 2558 = -f - 3*f, 0 = -z*f + 2*n + 3198. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -38 + 19\/2*k**2 + 1\/2*k**3 - 2*k.\nAnswer: (k - 2)*(k + 2)*(k + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -249*o**3 + 640*o**2 - 2678163*o?\nAnswer: -1494*o + 1280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 379 and 6443.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*f - 13*f + 80 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -0.2, -401, -60?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t - 8. Let s be k(-4). Let a be 0*-1*s\/(-12). Suppose a*d + 5 = 5*z - 5*d, 1 = -d. Solve z*j = -3*j + 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1757382 minus 2.172548?\nAnswer: 1757379.827452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**4\/a**(-5))\/(a**(4\/5)\/(a\/(a*a**(-4))*a)))**(6\/7))**(6\/7) assuming a is positive.\nAnswer: a**(2376\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 603, 5 in ascending order.\nAnswer: -2, 5, 603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(350)\/(sqrt(20)\/sqrt(2)))\/(4*sqrt(28)\/sqrt(4)) - (sqrt(40)\/sqrt(392) + (sqrt(5) + 3)*-4))**2.\nAnswer: 690*sqrt(5)\/7 + 175101\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -56*30\/(-7920)*33?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(81)*-1)\/((1*sqrt(12) + sqrt(12))\/sqrt(4)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*3*(-78)\/(-78)*(-8)\/84?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/5)\/w**(-6\/7))\/(w**2)**(-38))**(8\/11) assuming w is positive.\nAnswer: w**(21352\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 5*v**2 + 4*v + 3. Let x be p(-4). Let g be (-2352)\/(-18) - (-1)\/x. Let m = g + -89. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1771\/253 + -2 + 51\/(-11). Sort -0.2, -5, -0.23, z in ascending order.\nAnswer: -5, -0.23, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 12*r - 5 + 5. Suppose 0 = 5*a - 3*t + 11, 4*a - 10 = 5*a + 2*t. Let s(h) = -2*h. Let n(p) = p. Let q(j) = a*n(j) - 3*s(j). Determine o(q(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 321*u - 80 = 323*u, 4*u - 272 = 4*f for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -38*u**3 - 14*u**2 - 22*u - 7. What is the hundreds digit of r(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4446 - -4450. Suppose 4*d + 20 = 4*y, -2*d = -y - 0 + 7. Sort -5, k, d in increasing order.\nAnswer: -5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769220811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 1. Let a(u) be the second derivative of -u**5\/20 - u**4\/3 - u**3\/6 - 2*u**2 + 16*u. Let x(h) = a(h) + 3*l(h). Determine x(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 40769794?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2301048 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**3 - 6*u**2 + 4*u - 3. Let z = 27 - 23. What are the prime factors of q(z)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8165050 is divided by 2041256.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/418 and 97\/190.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*f = 67*f + 198. Let s(k) = k**3 - 4*k**2 + 3*k. Let z be s(4). Let n = f + z. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -3. Let v = -8 + f. Is -3 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*q + 4 = 30*q. Let i be (1 - q)*(-60)\/(-28). Which is bigger: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35429*m**3 + 25306*m**3 - 16168*m**3 + 33473*m**3.\nAnswer: 78040*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 415913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 780 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2488, 4982, 7488, 10012, 12560, 15138, 17752?\nAnswer: 20408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -14190631 and 5?\nAnswer: 14190636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 4*k**2 + 2. Suppose -39*o + 9380 = -11*o. Let x(b) = 158*b + 176*b - o*b. What is g(x(w))?\nAnswer: 4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32 + 34. What is the least common multiple of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 138 + -117. Let i = 79 + 2. What is the remainder when i is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 63 + -59. Suppose p*o - 586 = 54. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*s - 235 - 1115 = 0, 436 = o + 4*s. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1600.2 - 1600. Let j be 4\/((-16)\/28) + 2. Which is the nearest to 2\/5?  (a) j  (b) -0.02  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cr when two letters picked without replacement from ccrwcwcrcccwrw?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75, 143, 207, 267, 323?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 2*z + 14, -t = -0*t - 2*z - 10. Let d be (t*2\/(-38))\/2. Which is the biggest value?  (a) -0.2  (b) 2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 5*c + 2*c**4)*(-84*c - 893*c - 2804*c - 419*c).\nAnswer: -8400*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000233387 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of -b**5\/20 - b**4\/8 - 11*b**2\/2 + 8. Let v(o) be the second derivative of i(o). Find n, given that v(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.11 and -2837?\nAnswer: -312.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3584 + 1078670\/301. Let w = -371 + 15949\/43. Let n = g - w. Which is the smallest value?  (a) 0.3  (b) -5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 11110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 36721104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -s**5\/7 - 501*s**4\/7 - 73972*s**3\/7 - 3818064*s**2\/7 - 6003424*s + 14274288 = 0.\nAnswer: -289, -98, -18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 17  (c) -6\/23503\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bmtvmmanmmaambv. Give prob of picking 1 t and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-78)\/19 - 36\/(-9). Which is smaller: p or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.64 - 0.6. Let g = 0.54 - t. Let i be ((-1)\/(-5))\/((-16)\/(-10)). What is the biggest value in g, 0.1, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 34877363 + 0?\nAnswer: 34877363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 17 - 73 = 0. Suppose 10*x + 81 + 29 = 0. Let k = z + x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - w - 5 + 1 = 0, -3*t + 2*w + 4 = 0. What is i in -i**2 + 6*i**4 - 2*i**2 - 3*i**t = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38457.4145 rounded to the nearest one hundred?\nAnswer: -38500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - 12. Let n be 4 - 0 - o\/2. Which is the second biggest value?  (a) n  (b) 2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/7 + 7 + 1*-4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 15689 (base 16) to base 4\nAnswer: 111122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2872 + -2820. Suppose 6*o - 76 = 2*o. Calculate the remainder when j is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11411 + -314?\nAnswer: 11042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of 2071999*y**3\/6 - 5*y**2 + 21*y - 3. Let p be k(-10). What is p rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(5\/4)*p)\/(((((p*p**(1\/9)*p)\/p)\/p)\/p)\/p)*p**(1\/2)*(p\/(p\/(p*p**4))*p)\/p)**(-3) assuming p is positive.\nAnswer: p**(-347\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -303 - 0?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.6 + -1.5385. Let v = w - 0.1615. Which is the nearest to v?  (a) 2  (b) -5  (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 461163.\nAnswer: 3, 347, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -296 = -3*n - 34*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*b + 30 - 4 = 0, 0 = f - 3*b - 21. Let m = 6 - f. Determine z so that 7\/2*z**3 + 0 - 15\/2*z**4 + m*z - 1\/2*z**2 + 9\/2*z**5 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2327\/184 - 101\/8. Let x = -328 - -332. What is the second smallest value in p, 2, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32322302 (base 5) to base 12\nAnswer: 114081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 109 - 210.631\nAnswer: -101.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 5*t**3 + 2*t**2 - 29*t + 55. Determine n(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 5:04 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of 0*w**5 + 0 - 1\/3*w**6 + 13\/3*w**3 + 0*w**4 + 0*w**2 - 8*w. What is the second derivative of x(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -97984302*t**3 - 4*t**2 - 6531293.\nAnswer: -587905812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -204?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -3 + 0 + 3 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*(36\/8 + -2). Suppose -h = 4*y - 18. Solve k - 23 + y = 5*v, 0 = v + 4*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1309797 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: Does 10 divide 1338371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + 6. Calculate the greatest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -2*l**3 + 1. Let j(x) = x**3 - 30*x**2 - 55*x - 33. Let a(h) = -j(h) - 3*o(h). Suppose a(b) = 0. Calculate b.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i**2 - 17*i - 5. Let p be u(-8). Suppose p*o = a, -9 - 3 = -4*a. Put -5, o, 2, 0 in decreasing order.\nAnswer: 2, o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -105592888 divided by -13199111?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 3*b - 3 = 0, -2*p = 3*p + 2*b - 21. Suppose -2*s = -25 - p. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 + -11. Let l = x - -28.0033. What is l rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33417907801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5890 and 132782982.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -36431 smaller than -36430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/8)\/((-4)\/16). Suppose -21 = -v*j + 7*j - x, j = -4*x + 16. Let c = 6 + j. Solve -4*o + 9 = -3*u - 4, c = 2*o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b - 8. Let w be j(8). Suppose -5*a + 24 = -w*c + 3*c, -5*c + 6 = -3*a. Suppose -c*h - 93 = -3*l, -25 = -l - h + 4*h. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v - 6 = 6. Calculate the common denominator of 25\/27 and (-981)\/(-135) + v\/((-2)\/(-3)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {r: 6, m: 1, s: 3, e: 1, o: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*n**2*w**3 - 71064*n**2*w**2 + 52285711*w**3 - 2860 wrt w?\nAnswer: -12*n**2 + 313714266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ahjh when four letters picked without replacement from hawbhhyyahjjjbw.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.3 + 0.4. Let i = -331055 - -331056. What is the closest to -0.2 in 4, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1073 or -1068?\nAnswer: -1068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 15*g**2 + 4*g + 2. What are the prime factors of b(4)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of p**4\/6 + 7*p**3\/6 - 959*p**2. Let w(o) = 2*o + 3. What is 4*q(r) - 9*w(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1618 - 84851867266?\nAnswer: -84851867265.8382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 203 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8042, -16298, -24554, -32810, -41066?\nAnswer: -49322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3241 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*a + 2*g, -3*g + 90 - 78 = 0. What is the closest to -1 in a, 2, -4\/7, 7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -38338705086881 + 38338705127606.528763582. Let x = -40177.5287641 + l. Let b = x - 548. What is b rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -34?  (a) 2\/13  (b) -2  (c) 0.3  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -6*g - 5*j + 25, 4*g - 17 = -3*j. Suppose -153 = -g*c - 3*s, 0 = 4*c - s + 31 - 316. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34 - 34. Suppose 2*k - x + 27 = 3*k, d = k - x - 25. Solve 0*m - 5*m + 3*n = -k, 4*n = 2*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1\/232 + -577\/696. Let s be 4 + (1 - 0) + 0. Suppose l - s*v + 18 = 0, 0 = 5*l - 0*v - 3*v + 24. Which is the nearest to 0.1?  (a) -0.07  (b) n  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 11772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 141487509 bigger than 141487511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -84*o + 348. Does 39 divide b(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 387628687?\nAnswer: 37, 373, 28087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p**2 + 3*p**3 - 7*p**3 - p + 1 + 3*p. Let v(b) = 21*b**3 + 11*b**2 - 11*b - 5. What is -11*a(y) - 2*v(y)?\nAnswer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 34*i - 30. Let v(w) = 35*w - 38. Determine 7*f(q) - 6*v(q).\nAnswer: 28*q + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 120307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/3  (b) 5  (c) 0.5  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2551759 divided by 2.\nAnswer: -2551759\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 5370 = 5*r, 5*r - t + 4*t - 5394 = 0. List the prime factors of r.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2767 + 538 = 2*d, 0 = -2*d - 4*j + 3314. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**3*j + 76*f**3 - 24*f**2*j*t + 59*f*j*t - f*j - 2*f*t + 4*j - 9*t wrt f?\nAnswer: 12*f*j + 456*f - 48*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 - 3 + 3)*(3 + 1 - 6)*(w + 2*w**3 - w).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -491, -8, 0, 1.\nAnswer: -491, -8, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/45)*j)\/j*j*j*j**(4\/7)*(j*j**(-2\/7)*j)**(-42))**(23\/5) assuming j is positive.\nAnswer: j**(-502688\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xewxwxxswwxwswww. Give prob of picking 1 e and 1 x.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -22*z + 8. Let m(a) = -1. What is -6*m(n) - t(n)?\nAnswer: 22*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -228268288, -228268285, -228268282, -228268279?\nAnswer: -228268276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108674 and 347919?\nAnswer: 46621146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 2. Let n = 1 - h. Let l be (-2 - n) + (1 - 1). Which is the third smallest value?  (a) l  (b) 1\/2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/((-2775)\/360)*(-60)\/(-18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1866847, -1866850, -1866853, -1866856?\nAnswer: -1866859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(4\/7)*v*(v*v**1)\/v*v*v assuming v is positive.\nAnswer: v**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of -a**9\/3780 - a**8\/1050 + a**7\/350 + 11*a**3\/6 + 51*a**2. Let v(c) be the first derivative of i(c). Factor v(d).\nAnswer: -4*d**3*(d - 1)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4667 + -2147. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4341974 - l + 4341974 - 2*l**2.\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 - -7. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 448 divide 5950784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(297)\/(sqrt(11) - (sqrt(704)*-3 - sqrt(704))).\nAnswer: sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j**3 - 3*j + 40. Let c(x) = -10*x**3 + 14*x - 200. Calculate -3*c(k) - 14*r(k).\nAnswer: 2*k**3 + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + ((3*sqrt(40) - sqrt(40))*-2 - sqrt(40))\/sqrt(8)).\nAnswer: -15*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vtvtktkktvktk. What is prob of sequence vkvt?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -89a (base 12) to base 4.\nAnswer: -103312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b + 19*b + 8*b.\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3163642.\nAnswer: 2, 41, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of 2*o**3\/3 - o**2\/2 - 10*o - 28. List the prime factors of s(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 6*l - 17 = -2*l, -5*o - 3*l = -16. Solve -5*v = -o*h - 10, 6*h - 10 = 7*h + 3*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -2*h + 5*h - y, 2*y = -2*h + 28. Let f(m) = -2*m**3 - m**2 - m. Calculate the lowest common multiple of h and f(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 3*m - 9*m. Solve m = 4*k + 3 + 5, 5*v + 3*k + 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 82717 and 1810?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 64418*l. Let m(g) = -3*g**2. Calculate m(i(j)).\nAnswer: -12449036172*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 5*a - 1062495, -3*a = -2*i - 15425 + 440413. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -76*n + 90*n - 2*v + 2, 5*n - 6 = -3*v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fffffqfqfff.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 255419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -775, -3111, -7009, -12469, -19491?\nAnswer: -28075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 1, 3\/7, -17, 1\/82, -2, -201, 3?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 682*z + 308*z + 634*z + 27608 = 0 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 8 - 28. Calculate the remainder when 22 is divided by ((-2)\/(-2))\/(f\/(-60)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*j - 9387 = -9687 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*w + 124838 = 127738. Solve 19\/4*u**2 - 25 + 1\/4*u**3 + w*u = 0 for u.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(153))\/sqrt(9) - ((sqrt(51)\/sqrt(3))**2 + 3).\nAnswer: -20 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -47559*w**3 + 54808*w**2.\nAnswer: -285354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 + (29 - (40 - 20))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(78)\/sqrt(6) - (sqrt(13)*3 + sqrt(13))*6)**2*-2.\nAnswer: -12584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 42\/(-3) + 2 + -2. Let w = j - 38. What is the tens digit of (-152)\/(-10) - w\/65?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1 + 0 + (sqrt(242) + 1 - sqrt(242))))**2 - (3 + ((0 + sqrt(242))**2 - sqrt(242)) - (0 + 1*sqrt(242) - sqrt(242))).\nAnswer: -101 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 + 8. Let b = -4.4 - i. Suppose -7*o - 44 = -18*o. What is the nearest to 1 in o, -0.1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + l - 21, 3*o - 1148*l + 1151*l = 39. What is the highest common divisor of 14312 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -l + 5*r, 42*l - 47*l = 6*r + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*o + 74*o - 638 - 229*o + 80*o + 630 - 9*o**2.\nAnswer: -9*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.57 + -0.33. What is the nearest to -1 in -2\/7, u, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d**2 - 10*d - 9. Let t be w(10). Let j = t + -34. What is the remainder when j is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -130 and -188594396.92.\nAnswer: -188594526.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 450 and 734300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*r**2 - 7 + 15 - 8 + 3*r as o*r**2 + t + c*r and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4, 157\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69 = -5*c - 3*z + 36, -175 + 774 = 33*c + z for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (11 - 3 - 27)*(t + 0*t + 5*t) in the form k*t + c and give k.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17649993 or -52949975\/3?\nAnswer: -52949975\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/2, -0.004, 2 in increasing order.\nAnswer: -5\/2, -0.004, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1489452 minus -1709?\nAnswer: 1491161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 344995.\nAnswer: 5, 7, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*6)\/(954\/2332).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 551 - 543. What is the smallest common multiple of 670 and n?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaalllalaaallal. What is prob of picking 3 l and 1 a?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 7550c (base 14) to base 2\nAnswer: 1000101001111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, 4024, 0.3, -11, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 40 = -6*r, 25 = 119406*r - 119405*r - 4*z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 2*d = -6, 2*q - 1204*d + 1209*d = -0*q - 9 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -11742653 (base 8) to base 3\nAnswer: -11220102110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, l: 5}. Give prob of picking 3 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 4*m + 16, -4*g - 28 = g + 4*m. Let z(u) be the second derivative of -u**4\/12 + u. Let n(h) = -h**2 - 4*h**2 + 0*h**2. Give g*z(y) + n(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((6\/(-3))\/((-2)\/1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19641 less than or equal to 19647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*x - 7*x - 31*x - 102 = 0. What is the second biggest value in 5, 0.1, -155, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 259 + -3289?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -u**4\/4 - 8*u**3\/3 - 3*u + 2. Let m be r(-8). List the prime factors of 1\/m*(-8 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 123*h - 209*h + 27 + 93*h as i + k*h and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -312 = -2496*n + 2484*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40482?\nAnswer: 2, 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -1, -0.007, 0.2, 5\/22, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -136 + 279 - -78 - 139?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(252)*2 + 4 + sqrt(21)\/(sqrt(3) - (sqrt(3) - sqrt(21)\/sqrt(7))) + sqrt(56)\/(-3*sqrt(8)) + sqrt(7) + 2.\nAnswer: 8 + 41*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 659809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73851.\nAnswer: 3, 103, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -1464*r + 3834. Calculate q(3).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 AM and 10:22 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/8 and 23\/946114.\nAnswer: 3784456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-9))\/((-318)\/2385)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 2817 = 1279. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 1335*z**2 + 1. Let p be u(1). Suppose -y + v + 323 = 3*v, 0 = -4*y + 3*v + p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2001498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58251.01 kilometers to millimeters.\nAnswer: 58251010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (148 + 205 + 94)*(3 + 0 - 2)*(-3*r + r + 0*r) as y*r + c and give y.\nAnswer: -894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((12\/(-8))\/(3\/(-2))). What is the third smallest value in -9, 2\/9, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 2 + 0 + 0 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 i, and 1 z when three letters picked without replacement from {i: 1, k: 1, n: 1, z: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 44*t - 37 = 49*t, 2*u + 4*t = -12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**0\/l)**(-4)*l\/(l\/(l**2\/l))*(l\/(l\/(l*(l*l**0)\/l*l*l)))\/l assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(55)\/sqrt(5)*-3 - sqrt(11))*6 + 4)*-6.\nAnswer: -24 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131*d + 121*d = 60. Let u(x) = 4*x**3 - 2*x**2 + 2*x - 1. Let j be u(1). Put -4, d, j in ascending order.\nAnswer: d, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(396) + 0 + sqrt(396) + 1.\nAnswer: 1 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 981681, 1963380, 2945091, 3926814, 4908549, 5890296?\n\"Answer: 6*z**2 + 981681*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19464 is divided by 5455?\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*f - 191 + 11 = 0. Solve -f - 9 = -7*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -163779\/289 < -568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 518 and 728?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 2. Let z be (-2)\/(-4) + 299\/26. Let f = -28 - -61. Suppose c - z*c = f. What is v(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 38368411*j. Let l(f) = -f**2. Calculate l(d(n)).\nAnswer: -1472134962664921*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11639, -11644, -11649, -11654?\nAnswer: -11659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -52635155*t**5 - 152798557*t**2 wrt t?\nAnswer: -3158109300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*r**2*s**3 + 8254*r**2*s - 196*r*s - 288838*s**5 wrt s.\nAnswer: -30*r**2*s - 5776760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i - 2*i + 5*i)*(-6*i**4 + 2*i**4 + 9*i**4).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4154 - 18390 - 7964 = -50*v. Calculate the least common multiple of 24 and v.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -3  (b) -0.045  (c) 18  (d) -0.4  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 25 + 13. Let j = 4 + p. Let m = 7\/3 + -17\/6. Which is smaller: m or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -110, -220, -328, -434, -538, -640, -740?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3038961 and 2460?\nAnswer: 60779220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of d**3\/6 + 3*d. Let p(k) be the third derivative of 49*k**4\/24 - 254*k**2 + 2. Determine w(p(a)).\nAnswer: 49*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 9.798311 nanometers?\nAnswer: 0.000000009798311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17638.506 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-396)\/162 - 15\/(-6)) + 377\/18?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.7, 1, -0.3 in increasing order.\nAnswer: -0.3, 0, 0.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 804.\nAnswer: 1\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2234364102?\nAnswer: 2, 3, 29, 59, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + i - 15 = 11, -2*r + 2*i + 8 = 0. Let y be r\/(-2) + 10 + -5. Suppose y*g - 60 = -3*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 196 and 2164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/15)\/(-6) + 2\/((-30*30)\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 14\/2 - (-116)\/(-16). Let q = 0.1 + -0.1. Which is the nearest to t?  (a) q  (b) 1\/6  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -3*l**3 - 4*l**2 - 4*l - 4. Let o be q(-5). Let a = o + -169. Let j = 207 - a. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.1 + 1.8. Let p(y) = y**3 - 4*y**2 + 3. Let j be p(3). What is the fourth smallest value in 1, 1\/2, j, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 120210313 - -220?\nAnswer: 120211133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 - 7*g**2 - 10*g - 24. Let p be m(-6). Put p, 4, 13, -2 in decreasing order.\nAnswer: 13, 4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1082987 less than 17597235?\nAnswer: 18680222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**2 - 48*a - 44 = 0. Calculate a.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27.05 + -28. Round o to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36882089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*r = 59*r - 376752 - 1538068. Is 32 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 81\/3*(-1)\/(-3). What is the highest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 - 5*v + 1. Let r be h(6). Let c = 12 - r. Find the common denominator of c\/20 - (-10)\/16 and -45\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -532.829, -59, 0.1 in descending order.\nAnswer: 0.1, -59, -532.829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1895705\/2 or 947852?\nAnswer: 947852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of (-3 - -25)*(3 - -108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10\/15 + (-4)\/6. Let a(k) = -k**2 - 6*k - 7. Let g be a(-3). Let h be (-12)\/16*(-6 + g). Solve 3*n + 3 = 3*t, j = h*t - n - 3 - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-1)\/4*0)\/((-8)\/4). Solve i*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - 2\/(((-70)\/(-15))\/(-7)). Suppose 3*n - 23 = -2*s, s = -v*n - 4 + 20. Solve 18 = -2*o + 2*w, o + 2*o + 2*w + s = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 10 = 5*c, c + 40 = -4*x + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1022*w - 384*w - 1936*w + 540*w.\nAnswer: -2802*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 1:41 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/12944 and 51\/22652.\nAnswer: 90608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -1. Suppose -4*h - 34 = -f*o + o, -4*h = 16. Let k = o - -26. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 81373, 7, 5 in increasing order.\nAnswer: 0, 4, 5, 7, 81373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 24*c**2 - 9*c + 242. Let o be d(-26). Let z = -801 - o. Let w be -5*6\/(-3 + 2). Calculate the highest common factor of w and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 346036124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 2 - 18 = 0. Suppose -o = m, -2*m + o - 8 = -u*m. Suppose 4*v = 3 - 15, 2*b - m*v - 24 = 0. Calculate the highest common divisor of b and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-25) + 55\/100\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**2 + g - 1. Let s(w) = 11*w**2 + 22*w + 49. Let b(l) = -5*f(l) + s(l). What is the units digit of b(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 893587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 257163 or -1.42?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6302 smaller than 6430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -218169680.1 rounded to the nearest one million?\nAnswer: -218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 189 and 1416429?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2467 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*x = 3*f - 2, 2*x = -3*f - 10. Let r = f + 5. Is 19*4 + r + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42458 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 - (-1 + -14 - (-42 - -62 - -45))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 813 and 4607?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 24\/61, -5, -2, -2\/7 in ascending order.\nAnswer: -5, -2, -2\/7, 24\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2139.5078 * -0.4.\nAnswer: -855.80312","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 k, and 2 h when four letters picked without replacement from {h: 3, s: 5, g: 1, k: 9}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-34 - -30) + 35 + -45.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -52.377452 + -57.62245. Let p = -12.8 - -122.8. Let m = p + h. What is m rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-3) + 33\/9. Let n(s) = 2*s**3 - 18*s**2 - 21*s + 11. Let b be n(10). Suppose 5*i - 8662 = 3*q, -3 = -w*q + b. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22801476*w**2 - 3382575*w.\nAnswer: -45602952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + -2 + (sqrt(3) + 0)*3 + (sqrt(6912) - (0 + sqrt(6912)) - sqrt(6912)))**2.\nAnswer: 176*sqrt(3) + 5812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.132 * -329236\nAnswer: -43459.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 2*u = 228, 0 = -48*t + 14*t - 154*t - 2*u + 2613 + 8287 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/35711 + -2249725\/1214174. What is the common denominator of u and (1 - (-82)\/36) + 1?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2300159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 267832223 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.09 <= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-1))\/(5\/25). Suppose -i - 8 = 4*o, o - i = 43 - 50. Put d, 32, o in ascending order.\nAnswer: d, o, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6772000 to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.51809 * 1\nAnswer: 0.51809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 51, 161, 333, 567, 863, 1221, 1641?\n\"Answer: 31*b**2 + 17*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**4 - 1 + 1 + (2*v**2 - 2*v**3 - 2*v**2)*(6*v + 0*v + 0*v) - v**4 + 0*v**3 + 0*v**3.\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2918 - 494 = -195*y + 599*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -132, -1266, -4490, -10848, -21384, -37142, -59166?\n\"Answer: -174*p**3 - p**2 + 87*p - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 14) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1213799, -2427598, -3641397, -4855196?\nAnswer: -6068995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the second derivative of u**8\/8 - 5*u**7\/42 - 14*u**4\/3 - u**2\/2 + 46*u. What is the third derivative of f(v) wrt v?\nAnswer: 840*v**3 - 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3723352 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, 4, 44, 2, -5 in descending order.\nAnswer: 44, 4, 2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - i - 6, -2*h + 5*i = 2*h - 22. Suppose h*f - 847 = f. Let o = -93 + f. Calculate the remainder when o is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 - 4*p + 4. Suppose 2*u = -5 + 23. Let o be (-1)\/(-3) + (-39)\/u. Calculate h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t*t**9)*t*t\/(t**(-3\/5)\/t)*t assuming t is positive.\nAnswer: t**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/50*-12)\/((-1)\/((-15)\/6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 53*v**2. Let x(u) be the second derivative of 17*u**4\/12 - 628*u. What is x(t(h))?\nAnswer: 47753*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-16)\/14*(-7)\/2. Solve 5*v + 9 = n, 7*n - j*n = v - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3148 - -3340. Solve 15*t - 47*t - h = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 164.6599t in nanograms?\nAnswer: 164659900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 255307 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + 7. Let p = -5 - v. Is -3 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 39.8 + -40. Which is bigger: n or -18\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3764543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 + 2*z + 2. Let w be m(-4). Let q = w + -6. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*t**2 - 60*t**2 + 23*t**2 - 9*t**2 + 20*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3*w + 18. Let u be g(-17). Let j = 450 - u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1427 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*w = -22*w + 4. Let b be (-66)\/w + -1 + -2. Solve -c + 5*j = -6*c + b, j - 12 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4719 - 1?\nAnswer: 4718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 2*n - 56. Let o be g(-14). Let f be (-56)\/o + (-8)\/10. Which is the second smallest value?  (a) 1\/3  (b) -0.3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 10) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 5:55 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 3. Suppose 2*l - 3 - 7 = -5*r, 2*l + 26 = d*r. Find the second derivative of 2*h**2 + 2*h + 2*h + 3*h - r*h wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -r**2 + 4402*r - 4844401 = 0.\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -290.2  (b) 35  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 54 = -4*a. Let i = -4 + 6. Let z = i + 16. What is the lowest common multiple of z and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -3*y**4 + 5043*y**3 - 2054799*y**2 - 54703743*y + 56753502 = 0.\nAnswer: -26, 1, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1485, -1486, -1487, -1488?\n\"Answer: -z - 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8*-5.24561\nAnswer: -41.96488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*r + 5*r = -132. Let f be (-1)\/(3\/18*-3). Suppose -5*s - i = -24, -7*s - 2*i + 28 = -f*s. Sort s, 5, r.\nAnswer: r, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16191 = -274*a + 265*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a + 2*a**3 - 2*a - 1 + 2*a. Let l be i(1). What is the derivative of 14*o**2 + l*o**3 + o**3 + 3 - 14*o**2 wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (1 + -2 - (1 + -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 7659*f + 2. Let c(u) = 135*u. Determine q(c(a)).\nAnswer: 1033965*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 32 = -q - x, -3*q + 28 = -5*x. Let m be -3*(-2 + 3) + q. Suppose -4*l + 1813 = m*l. What are the prime factors of l?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -788 - -809. Suppose v - 3*d + 2 = 0, -11*v = -9*v - d - w. Let s be 5 - (1 - 0) - 2. Which is the smallest value?  (a) -5  (b) v  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) + 0 + -3 - sqrt(847)) + (4 + 1 + sqrt(847))**2.\nAnswer: 110*sqrt(7) + 869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -440 divided by 88?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.07 - 4.07. Suppose 3*i - 3*r = 30, -5*r = -110*i + 115*i - 30. Which is the third smallest value?  (a) w  (b) -0.2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10.17 - -41\nAnswer: 51.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 5*k - 10809 = 0, 12*k - 13524 = -5*f + 10*k. Calculate the greatest common divisor of f and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 475312 by -4.\nAnswer: -118828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*i - 1697 = w, 0 = 5*i - 2*w - 2122. Let d be 2\/3*(i\/(-112) + 4). Let x = -1.4 - 0.6. Is x at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.44  (b) -6  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 36, -31, -154, -333?\n\"Answer: -28*q**2 + 17*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8 and -540563?\nAnswer: -4324504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b + 34 = 6*b. Let c = -8 - b. Which is smaller: 27 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -24 + 4. Let w(p) = 2*p**3 - 5*p - 4*p**2 - 14 + 12*p**2 + 8. Is w(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*q + 190 - 850 = -17*q for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 344\/531?\nAnswer: 344\/531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -3*b**3 - 16*b + 17. Let p(f) = f**3 + 15*f - 18. Let y(m) = -5*n(m) - 4*p(m). Let k(j) = 5*j**3 + 10*j - 6. Give -13*k(v) + 6*y(v).\nAnswer: v**3 - 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(110)*1)\/(sqrt(10) - sqrt(50)\/sqrt(5)*-4) + (0 + 4 + (sqrt(396) - -1*sqrt(396) - sqrt(11)) + -3)**2.\nAnswer: 113*sqrt(11)\/5 + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4250305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.174 and -11.\nAnswer: -1.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*j - 2 = 86*j. Solve -3*v = 4*i - 5, -2*i - j*v + 15 = -3*v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.8 and 0.5.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 980026 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -22*-75848\nAnswer: 1668656","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of -7*y**4\/4 + y**3\/3 - 7. What is the third derivative of h(o) wrt o?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2\/(-7) + (-993)\/(-21) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 8. Let m = 2 - v. Let o = 0.4 - 0. What is the second biggest value in 0, o, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-6)*2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 + -8. Let f = 3 - c. What are the prime factors of 67\/4 - f\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 4*o = 3, l - 9 = 2*o - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, 0.5, -2, 0, 0.01634?\nAnswer: 0.01634","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -14. Which is smaller: -0.3 or h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 6) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -16 + (7 - -2) + -4 + (43 - 50).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11328*j**3*x**2 - 7489*j**3*x - j**3 + j*x + x wrt x?\nAnswer: 22656*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27 + 72. What is the highest common divisor of 15 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1848 is divided by 1842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**4\/42 + 2*y**3 - 1080*y**2\/7 + 6234*y. Factor n(h).\nAnswer: 2*(h - 18)*(h + 60)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1345364, 1345360, 1345356?\n\"Answer: -4*b + 1345368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*r - 54 = -v, 0 = -4*v - r + 72. Let h = v + -2. Let b = 21 - h. Solve b - 1 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -439.5 + 439.6. Let f(i) = i**3 - i**2 + 4. Let s be f(0). Which is the closest to g?  (a) -3  (b) s  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 8:43 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1278380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -56?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1928, 7047, 15362, 26873, 41580, 59483?\n\"Answer: 1598*t**2 + 325*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1134 and 605934.\nAnswer: 1817802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 27.9 times 9.84\nAnswer: 274.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 114 - 42. What is the highest common factor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 + -29)\/(-1) - (-313 + 312)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -5. Let a be (1 - n)*18\/10. Solve 2*x + x - a = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00118979 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q + 5 - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 629061077?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 23440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -18 + 3 - (-112 - -95)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -847371075.\nAnswer: -847371076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1141901\/11 + -103809. Factor -124\/11 - 126\/11*y - k*y**2.\nAnswer: -2*(y + 1)*(y + 62)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 3. Let t = 4.7 - 4.32. Let k = 0.08 - t. Which is the second smallest value?  (a) l  (b) k  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1260 and 4338.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 2)*(2*t - 2*t + t**2) + (-3 + t + 3)*(13 - 5*t - 13).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/8, -4.2, -94, 2\/3, -21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -575, 564\/11, -4?\nAnswer: -575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16693 is divided by 179?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/10)\/(3\/45)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 9*z - 7*z**2 - 5 + 0*z**3 + 13. Let h be r(-7). Let u = -29 - h. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((1*sqrt(112)*1 - (sqrt(112) - (-1*sqrt(112) + sqrt(112))*-3))*-4*3)**2)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(3\/(-79) - (2 - 2)). Suppose j*k = 78*k + 360. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -30*s. Let x be r(-1). Let m = 44 - x. Suppose 0 = n - 30 + 4. What is the remainder when n is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 + 92.560256.\nAnswer: 92.460256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 56 - 68. Let a = 16 + m. Suppose a*y - 687 = 3*y - 2*d, y = -d + 683. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 11*p - 1. Let r(l) = -32*l + 4. What is 2*r(f) + 7*y(f)?\nAnswer: 13*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**4 - 3*g**5 + g**4)*(0 - 1 - 2) - 2*g**5 + 0*g**4 + 0*g**4.\nAnswer: 7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 (base 10) in base 11?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 505916 and 69836?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((1\/2)\/(-1))\/(45\/15750). Are r and -1939\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 6*n + 2 + (2 + 1 + 2)*(-n + 2*n - 2*n) - 177*n - 148*n + 112*n.\nAnswer: -212*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -110 + 18*o**2 + 18*o**2 + 17*o**2 wrt o?\nAnswer: 106*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 - 460\/(-23) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 2 = t, -5*g + 4*g - 9 = -4*t. Solve -17 = 3*q + q + 5*c, -t*q - 5*c = 21 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -774*o + 579*o + 466*o + (3*o + 4*o - 5*o)*(2 - 4 + 4) + 2*o + 0*o - o in the form n*o + c and give n.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1306249  (b) 0.1  (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6012165 - -27330216. Let x be (121 - 294)*11087\/(-1). Let v = m - x. What is v rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 240.72 years to months.\nAnswer: 2888.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 26, 78, 170, 314, 522?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 0 + 1 + 0 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 4*i - 27. Let p(l) = l**2 - 2*l + 6. Let j be p(2). Let t be v(j). What is the remainder when 97 is divided by (-20)\/t*(-15)\/(-24)*6?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -52.8375 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 + 15683?\nAnswer: 1568a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*y**3 + 17*y + 3*y - 19*y.\nAnswer: -11*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 28  (b) 0.11  (c) -1  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*j = 21*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 168675, 338738, 508815, 678912, 849035, 1019190, 1189383?\nAnswer: 1359620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 15, a: 5}. Give prob of sequence aww.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l + 0*l**3 - 6655 + 2*l**3 + 6658 to the form g*l + y*l**3 + t + b*l**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35051248?\nAnswer: 2, 283, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k**2 + 5*k**2 + 2*k**2)*(-7*k + 3*k + 3*k)*(4*k**2 + k**2 + k**2).\nAnswer: -24*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 232613.28 minutes?\nAnswer: 3876.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 20 - 0 - -6*(-5)\/10. Let j(k) = -17*k - 46*k + 32*k - l*k. Let m(r) = -r. Calculate j(m(c)).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + n = -21, -11*n - 9 = z - 6*n. Solve -14*q + 32 = -z*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 313033703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of 59*m**4\/2 - 7*m**3\/3 - 1142*m + 293. Differentiate n(z) wrt z.\nAnswer: 354*z**2 - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 3.03. Let g = -0.03 + w. What is the nearest to 1 in -4, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 9*l**2 + 4*l + 6. Suppose 0 = 4*i + 4*i - 112. Suppose 10*s - i*s = -52. Calculate the remainder when k(-8) is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1387491*k**3*n**2 + 8*k**2*n**2 - k**2*n + 334*k**2 + 2*n + 2 wrt k.\nAnswer: -8324946*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and 102743589.843?\nAnswer: 102743590.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4178.11 - -4178. What is the closest to -0.1 in -0.056, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4751.\nAnswer: 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 12 = -6*r. Suppose o = z - 42, -3*z - 3*o = -r*z - 26. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 290535502 divided by 145267751\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 451, 386, 241, -14, -409, -974?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 9:10 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g - 408 + 304 = 0. Calculate the greatest common factor of g and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53\/22 - -73\/44. Which is the nearest to 0.2?  (a) x  (b) -14  (c) 0  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*w = -3, 4*m - w - 12 = 2*w. Suppose -5*x + 2*x = -m. Is 20\/(-20) - (-320)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g. Let x(w) = 440*w + 65. Determine x(a(z)).\nAnswer: 440*z + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**3 - 2*z + 4*z**3 - 2 + 3*z - 6*z**2 - 2*z as m*z**3 + w*z**2 + i*z + t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -172323634668515 - -172323663201457.4000076. Let p = 28532949 - q. Let r = -6.6 + p. What is r rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/100)\/(30120\/6275)\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 5  (c) 4363  (d) -2  (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-6)\/90*-24)\/(4\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 25\/151587?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -20*n**3 + 148*n**2 - 264*n + 32. Let v(a) = 13*a**3 - 99*a**2 + 176*a - 20. Let l(y) = -8*v(y) - 5*w(y). Find g, given that l(g) = 0.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, h: 1, y: 4, f: 7, x: 2, s: 4}. What is prob of sequence xls?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -6601 divided by -199?\nAnswer: 6601\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o*o\/(o*(o\/(o**(1\/5)\/o))\/o*o)*o)**(-14)\/((o\/(o*o**0*o*o*o))\/((o\/(o\/((o\/(((o*o*o**(-2))\/o)\/o))\/o)*o)*o)\/o)) assuming o is positive.\nAnswer: o**(-134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -86069\/66 + 1303. Calculate the common denominator of f and 9\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, b: 4, y: 1}. Give prob of sequence by.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*d = -19*d + 11*p - 82, 0 = -5*d + 2*p - 109 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 2 + 6 + 32 + -36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 436*g**3*r**3 + g**3*r + 227*g**3 + 2*g**2*r**3 + 3*g*r + g - 2*r**3 wrt r.\nAnswer: 2616*g**3*r + 12*g**2*r - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/2 + 1337\/(-2666). Let n = a - 62631\/13330. Calculate the common denominator of n and 53\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*(-1 + 0 - -2). Let a be -3*((4 - 3) + 0). Let r = w - a. Calculate the greatest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*270\/(-243)*9\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9205*j - 9689*j = -484 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9031029 a multiple of 1851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 178, 5, 196, 4 in descending order.\nAnswer: 196, 178, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2 - 5 = 0. Let n be 2 + (-2 - -2)\/y. Let q be 2\/6*(n - -4). Solve -g = -2*g - q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1869074050 by 1.\nAnswer: 1869074050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 + 16*t - 48. Let o be l(12). What is the nearest to 0 in -4\/3, 3, 20, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-35))\/((-24)\/28)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*h - 5 - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b + 21. Let u(w) = -w - 14. Suppose -3*y - 9 = 15. Let l(x) = y*u(x) - 5*n(x). Let m(h) = 2*h - 6. Give 6*l(r) + 7*m(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 210 = -54. Let d = v - 1. Let u be (-1 - 1)\/(2\/(-7)). Calculate the highest common factor of d and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -32*d + 17. Calculate i(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fpp when three letters picked without replacement from {f: 4, p: 4, r: 3}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 993170.2100004 + -993170. Let j = -0.159 + -0.051. Let x = j + s. Round x to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11020 (base 4) in base 2?\nAnswer: -101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -0*r + 2*r - 6, -5*m + 6 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17*d**2\/8 - 13545*d - 3187\/2.\nAnswer: -(d + 6374)*(17*d + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 100 - 95. Sort d, -5, -1, 3.\nAnswer: -5, -1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -2*r + 6*r - 11, 4*s - 23 = 5*r. Solve 3*g = -s + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -5*b - 3*l, 3*l + 48 = 4*b + 17. Let u = 6 - b. Let k(i) = -i**2 - 3 - 3*i**2 + 4 - i**3. Calculate k(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36388.\nAnswer: 2, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 316*v + 8 = 293*v - 2*p, -3*v = 4*p + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 7*p**2 + 6*p + 2. Let h be x(6). What is the third derivative of 104*v**2 + 0*v**4 - 5*v**4 - 105*v**h wrt v?\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/4  (b) 61  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -16  (b) -0.2  (c) -0.06  (d) -106  (e) 4  (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 190772 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*t - 501*t + 17880 = 591*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 10, 4.\nAnswer: -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a week in minutes?\nAnswer: 64512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 436560 divided by 272.\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 - -69. Let h be (-6)\/(-15) - 17\/b. Let i = -28\/117 - -2\/117. What is the closest to -4 in h, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -38214 and 0.276 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 9. Let q = 3.5 + z. Let a = q - -0.5. What is the nearest to 2\/5 in 0.1, 5, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/11)*i*i)\/i**3)\/((i\/((i*i**(3\/4)*i)\/i))\/((i**(-1\/7)*i)\/i)) assuming i is positive.\nAnswer: i**(-177\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/7  (b) -3\/11  (c) -111\/21599  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6a1a91 - 4?\nAnswer: 6a1a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 276 and 17296?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of -1\/105*n**7 + 0 + 1\/84*n**6 + 1\/105*n**5 + 0*n**3 + 0*n**4 + 48*n**2 + 0*n. What is k in z(k) = 0?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bvzg when four letters picked without replacement from bgvpbpzvbpdb?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 2\/4077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 26\/39*(-1 - 9271\/380). Let z = 1664500\/62491 + -14\/3289. Let o = i + z. Find the common denominator of -61\/8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 3*z = 30, 0*z + 4*z + 20 = 0. Let w = 302 - 300. Suppose o*l - 46 = -w*c + 5, 54 = 3*l + 3*c. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117 + 83112*q**3 + 230 + 83108*q**3 - 113 - 166217*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-1))**(1\/23))**13\/(q**(3\/2)\/(q\/(q*(q*q**4*q)\/q)))**(-42) assuming q is positive.\nAnswer: q**(6305\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000110 + -1101001011111?\nAnswer: -1101100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.36  (b) -0.28  (c) 26\/5  (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1833 is divided by 533?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 128*u - 129*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (0 - -31) + 4 + -11 - 16?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7211\/2 + -216253\/60. Let o = 400 - 5998\/15. Find the common denominator of o and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 10, v: 9}. Give prob of picking 1 j and 1 v.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**2 - 1662*o + 5*o**2 - 2*o**2 - 2*o**2.\nAnswer: -2*o**2 - 1662*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 12:52 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-4) - 203\/28. Let o = 9 + g. Suppose -k = -3*w + 12, -w - w - 4*k - 6 = 0. Solve o*a - 2 = 0, 2*n + w*a = -1 + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-8) + 198\/72. Put 5, g, -3 in decreasing order.\nAnswer: 5, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4349 + 3930.55. Let y = t - -434. Let a = 13 - y. What is a rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -8*t**4 - 6*t**3 - 11*t - 11. Let y(n) = -3*n**4 - 2*n**3 - 4*n - 4. Let z(v) = -4*b(v) + 11*y(v). What is m in z(m) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**1*n*n*(n*n*((n\/(n**(-9)\/n))\/n)\/n*n*n)\/n)\/(((n*n*n**(1\/11))\/n)\/(n*n**3\/n)) assuming n is positive.\nAnswer: n**(186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1079 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000043988917 to seven decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - q. Let y be (q + 11)*(1 + 0). Solve 0 = -2*h - 2 + 6, -f = 5*h - y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2785.\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.9 + 1.8. Which is the smallest value?  (a) g  (b) -1\/3  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 506696 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -w - 3*r + 15, 2*w + 2*r - 14 = 0. Suppose 0 = -4*x + 5*a - 13, 3*x + 0 = -w*a - 1. Is 7 a factor of 0 - x - 24\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8270)\/14886*6\/140)\/((-3)\/(-9)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 20, 53 + 7 = -4*q + 2*y. Let a be (-1)\/(0 - -1)*(q - -12). Sort a, -5, -32.\nAnswer: -32, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -3*a - 1658. Determine b(-98).\nAnswer: -1364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 292589?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.391 + 13.671. Let d = -0.28 + p. Let m = d + -13.000088. What is m rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 25394 - -1374?\nAnswer: 26768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 6*x**2 + 10*x + 16. Let a be o(-8). Let w = a + -40. Suppose 0 = -k + 3*k - w. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d - 4. Let k(l) = l + 4. Let t(r) = -3*g(r) - 4*k(r). Let j = 2 - 5. Let o be t(j). Is o greater than -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.68*-1\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -b - 3*m - 9, 5*m - 3 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.7 - 1.4. Which is the nearest to -1?  (a) v  (b) 0.1  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21350*1022\nAnswer: 21819700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**4\/4 - 221*k**3\/4 + 32003*k**2\/4 + 7168665*k\/4 - 7231779\/2 = 0. What is k?\nAnswer: -201, 2, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 321659327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -6a34a (base 11) to base 10\nAnswer: -101573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: c4c (base 16) to base 4\nAnswer: 301030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 70423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 21 = l - 11, -2*l - n + 13 = 0. Find y, given that 40*y**l - 4*y**2 + y + 2 + 2*y**4 - 22*y**5 - 2*y**3 - 17*y**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.18 - -7.82. Let j = -19 + c. Let d = -10.999966 - j. What is d rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 11*r**2 + 6*r + 40. Does 4 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 165090774 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 716.0458t to kilograms.\nAnswer: 716045.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 292621402?\nAnswer: 2, 4219, 34679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -625.367 and 0.1822?\nAnswer: -113.9418674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*m + 6*m**2 + 4*m**3 + 0 + 2\/3*m**4.\nAnswer: 2*m**2*(m + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -691, -2.7, 2 in decreasing order.\nAnswer: 2, -1, -2.7, -691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-122)\/(-488)*(-20 - 0)*4\/(-200)*6. Find n such that 7\/5*n**4 + n**2 + 19\/5*n**3 + 0 - t*n**5 - 4\/5*n = 0.\nAnswer: -1, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 3 f when four letters picked without replacement from ofovoooff.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*n + 31*n + 18*n**2 + 21*n**2 in the form y*n**2 + l*n + w and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k + 1. Let i(u) = -u + 12. Suppose 3*n + 5*f - 4 = 0, -7*n + 2*n = f - 36. Let d be i(n). Suppose -2*b + d*b = 10. Determine j(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1364540321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbzbzbbbbzzzzzzz. What is prob of picking 2 b and 1 z?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 9:29 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8257050.2 rounded to the nearest 1000?\nAnswer: 8257000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1256, 2873, 5208, 8621, 13472, 20121, 28928?\nAnswer: 40253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49842 a multiple of 3063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Express -2*w + 1496*w**2 - 8*w**3 + 8*w**3 - 1496*w**2 - 916 - 2*w**3 in the form k*w**2 + s*w + i*w**3 + j and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 202206 - -5?\nAnswer: 202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4\/71  (b) -29  (c) -97  (d) 2  (e) 4  (f) 2\/9  (g) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 6  (b) -0.4  (c) -2\/7  (d) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 3*y**5 + 3 + (y**2 + y**4 - y**2)*(-4*y - y + 4*y) - 2*y**5 + 2*y**5 - 8*y**5.\nAnswer: -12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 375900 rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1324 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-3)*6766\/(-9). Let h = -264041\/459 + q. Let n = 427 - h. Sort -5, n, -0.2.\nAnswer: -5, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2269517 and 578.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s**2. Let i be (0\/1)\/(-1*2). Let u(o) = 0*o**2 - 21*o**2 + i*o**2. Determine u(l(j)).\nAnswer: -84*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49977 is divided by 16655.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -0*h + 90. Let u = -16 - h. Calculate the smallest common multiple of 26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 1 - -3) + 4377 + -4348?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 233529 to the power of 1\/2, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2081047, -2081049, -2081051, -2081053?\nAnswer: -2081055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1585.122 milligrams?\nAnswer: 0.001585122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -9  (b) 5  (c) 5.22  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*q, -3*y - 17 = -8*y + q. Suppose y*i - 2*i + 8 = 0. Let d(r) = -r**3 - 3*r**2 + r + 1. List the prime factors of d(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - r = -41, -2*r = 12 - 2. Find the first derivative of -17 - d*l + 38*l - 7*l wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -377\/70777?\nAnswer: -377\/70777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(27) + -5*sqrt(27))\/sqrt(9) - sqrt(3)) + sqrt(27)\/(sqrt(9)*1))*-1.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3403 (base 8) to base 9\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h**6*i - 1500*h**5 + 5*h**3*i - 4*h**2*i + h**2 + 14*i + 62 wrt h.\nAnswer: 120*h**3*i - 90000*h**2 + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9820371*i**4*s*z**2 - 2*i**4*s*z + 2*i**2*s*z + 32326*i**2*z**2 + i*s*z**2 - i*s + 2*s wrt i?\nAnswer: -235688904*i*s*z**2 - 48*i*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.004, 1\/6, 3, 197\/3, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12086*(104\/16)\/13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43617834496 + 261.7\nAnswer: 43617834757.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 50624\/(-198880) + ((-3)\/5)\/3?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-1) + 19 + -21. Let v(y) = y**2 - 7*y - 5600. Let d be v(j). What is d rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - o = 0. Let m = -52 - -52.07. Let t = 3.4 + -3. Which is the third smallest value?  (a) m  (b) t  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-45)\/(-18)*(-36)\/(-10). Find the second derivative of 40*n**2 + 477*n + 61*n**2 - 2 + f*n**2 - 481*n wrt n.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1778 is divided by 354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 + 34*o - 7. What is f(34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 + -451 + 459 + -6 + 1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + (-48 + 9 - -6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 6 = -c, 2*b = -2*b + c + 9. Let g be (-70)\/b*-1*3. Suppose x - g = 12. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -306 - (-2 + (-2)\/(-2)). Let s = t + 822. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 61 + 374. Let y = w - 70. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 255 is divided by (-10 - -23) + (9 - (7 - 4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 228 and 5229579.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1737851658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 27*t**2 + 110*t - 787. What is s(-19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - 4*k + 2*k**2)*(-k - 2*k + 4*k) + (4*k - 2 - 4*k + 12*k)*(-8*k**2 - 22*k**2 + 2*k**2).\nAnswer: -334*k**3 + 56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -12.54, 887, -2\/21 in decreasing order.\nAnswer: 887, -2\/21, -0.1, -12.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*l**5 - 396*l**4 + 9976*l**3 - 7656*l**2 - 46844*l - 28812 = 0. Calculate l.\nAnswer: -1, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -2091956\/9 less than -232440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 2 = 8. Let m be (-12)\/18 + (-2)\/b. Solve 1 + m = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from zjlvhzlllzlhzzhh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((28\/(-28))\/(1\/(-5)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5402 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-2601)\/(-68) + -27)*(-2)\/(-15)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of u**6\/120 + u**4\/6 - u**3\/2 - 37*u**2. Let s(p) = p**3 - 13*p**2 - 14*p + 2. Let d be s(14). Give m(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 17\/12 - (-20)\/(-30). What is the closest to 0.1 in i, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 246, -3\/5, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 PM and 8:33 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1173 and 23.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 26 = 5*s + 2*d, 0 = 2*s + d - 5. Suppose -s*b - 4*o + 0*o + 1204 = 0, -4*b + 5*o + 1240 = 0. Is b a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from pgnyonppppnpg.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 8 = 2*g - 0*m, -g = 3*m - 9. Does 12 divide (-4)\/g - (-89)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**(-3)\/g))\/g**6*(g**(-1)\/g*g)**2 assuming g is positive.\nAnswer: g**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**5 + 3*a**5 + 2*a**5)*(-2 + 1 + 6)*(-1 - 1 + 6).\nAnswer: 40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -6*q**3 - 2*q**2 + 2*q - 17. Let k(a) = a**3 - 3*a + 8 - 7 - 2*a**3 + 2*a + a**2. Let x(r) = -j(r) - 2*k(r). What is the derivative of x(m) wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - -3. Let s(a) = -a + 1 + c*a - 5*a. Let r(h) be the third derivative of h**4\/12 + h**2. Determine -r(z) + s(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2315 = -12*a + 6145. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23001.\nAnswer: 3, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32985 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -2*c - 36, 141*t + 363 = 1721*c - 1716*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1065216 or -11717390\/11?\nAnswer: -1065216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*k + n + 1 = -22*k, 3 = -4*k - 3*n. Factor 0*m**2 + k*m + 0 + 2\/3*m**3 + 2\/9*m**4.\nAnswer: 2*m**3*(m + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34 - 3) + (-244 - -229) + 25.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(1\/2))\/(y*y*y**23\/y) assuming y is positive.\nAnswer: y**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -13*v**3 - 33*v**2 - 3*v - 12. Let h(p) = -25*p**3 - 65*p**2 - 5*p - 22. Let t(n) = -6*h(n) + 11*k(n). What is the third derivative of t(m) wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49 divided by -19833\nAnswer: 49\/19833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -63 - 57. Let o be 15\/2*(-6 + s\/(-18)). Suppose 15 - 645 = -o*g. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 27843 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b + 8*b - 4136. Let u be (615\/(-4))\/((-7)\/28). Let w = u + b. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.3 + -5.3. Let n = 15 + -9. Suppose -25 = n*y - y. Which is the third smallest value?  (a) w  (b) y  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of -y**4\/2 + 4*y**3\/3 - 6*y**2. Let a be b(-4). Let t = a + -35. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/9*6\/(-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 348.39 - 6.09. Let d = -334.362 + c. Let k = -8 + d. Round k to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 3:41 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 194811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 699253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6924963.\nAnswer: 3, 2308321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3665532\/7, -0.01, -4 in increasing order.\nAnswer: -3665532\/7, -4, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -4*y + 262. Let l be s(-6). Calculate the highest common factor of l and 330.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(6) + (sqrt(6) - ((sqrt(6) - (sqrt(864) + sqrt(864)*1 - sqrt(6))) + sqrt(6))))\/(sqrt(288)*-1 + sqrt(2)))**2.\nAnswer: 6348\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 751 < 806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 172*p**3 + 10*p + 171*p**3 - 351*p**3 to the form r*p + d + f*p**3 + g*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 16*w - 103. Let l be -7 - ((6 - 22) + 2). Let o be j(l). Solve -s = -2*x - 0*s - o, 0 = -5*x + 4*s - 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -993 - -992.92. Which is the second smallest value?  (a) n  (b) -0.05  (c) 0.5  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (-18 + 0)) + -175 + 167.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (7 - 1)\/(-2) - 119\/(-17) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -478206 divided by -159402?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 7*k**2 + 26*k**2 - 3*k**2 - 6*k**2 - 5*k**3 + 3*k**4 - 8*k**2 in the form s*k**4 + o*k**2 + z + m*k**3 + p*k and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*x - 5*x - 7*x - 17*x to the form g*x + n and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -15*m**3 - 3*m**2 + 3. Let i be 25\/(-30) + (-1)\/6. Let c be a(i). Solve -10*s + c = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 PM and 5:44 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/2)\/(149\/298)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1930*d**2 + 1932*d**2 + 1938*d**2 - 9104*d**2 + 1938*d**2 - 4*d**3 + 1366*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -20112022220020 (base 3) in base 10?\nAnswer: -3470694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, 0, -384 in decreasing order.\nAnswer: 0, -1, -3, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2734 divided by -3.\nAnswer: 2734\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 90, 0.5, 0.062, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -247, -1021, -2289, -4033, -6235, -8877, -11941, -15409?\n\"Answer: 3*r**3 - 265*r**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -45861*s**5 + 2737*s**2 + 19*s?\nAnswer: -2751660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 102015 - 350054?\nAnswer: -244035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -13*-167\nAnswer: 2171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 203172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**4 - j**4 - j**4)*(-2 + 2 - 3*j + (-2 + 2 + 2*j)*(-2 + 0 + 3) + 0 + 0 - 9*j + (-3 - 2*j + 3)*(-1 - 1 + 0)).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 13*j - 11. Let w(u) = -38*u + 33. Let t(b) = -8*h(b) - 3*w(b). Let y be t(11). What is the greatest common divisor of y and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaxxaaaxx. What is prob of sequence xxx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 81867 and 556131.\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 365 (base 15) to base 3.\nAnswer: 1001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 358*h - 1 - 378*h - 33*h + 1.\nAnswer: -53*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of i**8\/168 + 2*i**7\/105 + i**6\/60 + i**2. Determine b so that g(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -1785*u - 1030. Let g(i) = -893*i - 475. Determine -13*g(c) + 6*t(c).\nAnswer: 899*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q - 186 = -13*q. Find the second derivative of d + 0*d + q + 3*d**3 - 12*d**3 + 3*d**5 + 11*d**3 wrt d.\nAnswer: 60*d**3 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.346 - 12910?\nAnswer: -12909.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-58)\/(-174))\/(10\/(-4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -254741 (base 11) to base 13.\nAnswer: -1109b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 39*n**2 + 74*n + 374. What is f(-35)?\nAnswer: 2684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13133 (base 7) to base 2.\nAnswer: 110110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wdwdwww. Give prob of picking 4 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 137*u - 110*u + 277*u + 199*u + (0*u + 0*u - 2*u)*(-2 + 4 + 0) + 2 - u - 2 - u - 2 + 2 + 2*u + 1 - 1 - 5*u + 5*u - u as x + a*u and give a.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3132, -12513, -28146, -50031, -78168, -112557?\nAnswer: -153198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 215 + -201. Suppose v = -7*b + 2*b + 33, 3*v = 5*b + 179. Calculate the remainder when v is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (9 - (-2 - -6)) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/11, 8, 2\/19?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -213725, -213747, -213771, -213797, -213825?\n\"Answer: -y**2 - 19*y - 213705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5 - -1*(4 - 3). Let g = -4 - b. Suppose p + 2*r = -3*p + 72, g = 4*p + 4*r - 68. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 - 2 - h - 3 + 0 + h + 0 - 4 + h + 4 - 2*h + h - h + (0 - 2*h + 0)*(0 + 1 - 3) + 2*h - 2*h - h + 0 - h + 0 + 2 + 2*h - 2 + 1 - 1 + h.\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -10637  (b) -4  (c) -183.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4574530062 rounded to 3 dps?\nAnswer: 0.457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/48*4\/18*-2.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -52469*p**2 - 5*p + 16. Let m be z(7). What is m rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of o**5\/30 - o**4\/8 + o**3\/3 - o**2 + o. Let n(h) be the first derivative of u(h). Is 17 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-9)*f**(-4\/5)*f**(-1\/3)\/f*f*f**(-8))\/(f\/(f*f**12)*f**6*f)**37 assuming f is positive.\nAnswer: f**(2518\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 6) in base 7?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27 and 3543075.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 124\/(-6)*228\/(-304). Let a(u) be the first derivative of -32\/3*u**3 - w*u**2 + 12 + 0*u. Find the second derivative of a(k) wrt k.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(63)\/sqrt(144)*1 + 2)**2.\nAnswer: 7\/16 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1932 and 2484.\nAnswer: 17388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3287 - -6358338.\nAnswer: 6355051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1807, 6725, 14929, 26425, 41219?\n\"Answer: o**3 + 1637*o**2 + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.01, 14.6, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 150*t**3 + 122*t**3 - 268*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 104744 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of 25*r**4\/12 + 8*r**2 + 19*r + 2. Let p(q) = -17*q**2 - 11. Calculate 7*p(g) + 5*w(g).\nAnswer: 6*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 56651.00898 to the nearest 100.\nAnswer: 56700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 3*j + 426, v - 3*j + 6*j - 142 = 0. Let d = -82 + v. Calculate the remainder when d is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x**2 + 13*x + 10. Let a be i(7). Find the second derivative of 11*m + 6*m + 2*m**a - 3*m**3 - 4*m wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of 2\/3*y**3 + 0*y + 0*y**2 - 10. Let s(z) be the second derivative of -5*z**4\/4 - 2*z. Calculate s(x(w)).\nAnswer: -60*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 74 = 28*k - 27*k, -2*k + 2 = 0 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 843787.9ng?\nAnswer: 0.0000000008437879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/sqrt(27)*-1)\/(sqrt(12)\/(sqrt(27)*2)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78738 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -101, 1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 14*w. Let h be (-1)\/(-2)*-12*1. Let i(o) = o**2 + 7*o + 7. Let y be i(h). Let p be x(y). Calculate the highest common factor of 126 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*n + 11*n - 24*n + (-7 + 4 - 4)*(3*n - 2*n + 2*n) - n - 1 + 4*n + n.\nAnswer: -12*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6 - (-4)\/1)*-1. Let b = 34\/4917 + -107785\/137676. Let y = -2\/77 - b. Is h less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 303 - 0.120928.\nAnswer: 302.879072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.7?  (a) 2  (b) 2.5  (c) 1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(243) + (-4*(3 + sqrt(243)) - sqrt(243)) - sqrt(243) - (2 + sqrt(243) + 0)))**2*-3*6 + 5.\nAnswer: -4024795 - 680400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 866?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -5. Let n = 67 + -66.9. Let k = 8\/11 - 53\/88. Which is the nearest to 0.2?  (a) n  (b) k  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -23\/24363 at least as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of g**8\/12 + 8*g**7\/35 - 5*g**6\/6 + 2*g**5\/5 + 10*g**2 + 3*g. Let b(t) = 0. Calculate t.\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 567881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/4384 and -43\/5008.\nAnswer: 1372192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 22498 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 8:03 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 17724*z + 124014. Calculate q(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-99)\/12 + -1 + 6\/24. Let g = -4 + 9. What is the third smallest value in -5, g, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 29842 and 44290.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4728\/(-16) + (-2)\/(-4). Let w = -206 - d. Suppose h - 2*z = 25, z + w = h + 4*h. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -369*w + 245*w + 3596 = 0 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1 - -21)\/((-20)\/(-100))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*o + 3*o - o + (3 + 0 - 2)*(-2*o - 3 + 3) - 152 + 106 - 102 + 2*o.\nAnswer: -o - 148","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 304278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 421 by 4.\nAnswer: 421\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 3813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 74, 169, 232, 251, 214, 109, -76?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -2*q + 16334, -2*q + c = -3*q + 8164. List the prime factors of q.\nAnswer: 2, 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17 - -20. Let r(w) = a*w**2 - 8 + 8 + 6*w. Let o(q) = -q**2 - 1. Let c(i) = 13*i**2 + 17*i + 5. Let l(n) = -c(n) - 5*o(n). Determine 6*l(j) + 17*r(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-1)*m)\/(m\/(m*m**(-4))))\/((m**(-3\/4)\/m)\/(m*m\/(m**0\/m*m))))\/((m**(-1\/2))**24\/(m**(-1\/3))**(-25)) assuming m is positive.\nAnswer: m**(241\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -319, -1759, -5679, -13315, -25903?\nAnswer: -44679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 324951 + 0?\nAnswer: 324951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.2  (b) 2  (c) 1\/14  (d) 0.1  (e) -2  (f) -5679  (g) 0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 - 216*g + 7506. Let q be t(174). Calculate the greatest common divisor of q and 4290.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -6. Find the common denominator of -23\/10 and (-1)\/m - 58\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 7 = -x, 15*i = x + 19*i - 7 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 12:37 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 5*o**3 - 267870*o**2 + 3749445*o - 13122200 = 0?\nAnswer: 7, 53560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 1. Let u(n) = -5*n**3 - 3. Determine -2*h(a) - u(a).\nAnswer: 3*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n - 24. Suppose -11*u - 5*a = -10*u + 23, 4 = u - 4*a. Calculate v(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143 - 5*a + 17*a + 304*a**2 - 306*a**2.\nAnswer: -2*a**2 + 12*a - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*k = 0. Suppose k = 5*d - d - 16, -n + 5*d - 17 = 0. Solve 4*y + 4 = 4*w, w - 6*w + 11 = -n*y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from umuuuuuu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.04*-1.\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 780 = 3*k, 0 = -25*i + 30*i + k + 1312. Which is the third biggest value?  (a) 2  (b) i  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/3)\/(14\/(-147)*-49).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 823, -182 in decreasing order.\nAnswer: 823, -2, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/3  (b) -1.1  (c) -7\/6  (d) 2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2 = -2*l - 4, 2*j - 30 = 4*l. Let p be 5 - 1 - (5 - 4). Let y be 46\/4 - p\/l. Calculate the greatest common factor of y and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -919, -2422, -5031, -8746, -13567, -19494?\n\"Answer: -553*r**2 + 156*r - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (693\/(-84))\/((-6)\/40). Suppose -u = -s + 69, 2*s - 4*u - 203 = -h. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eyjjjoysjyo. What is prob of sequence jsy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 8*r**2 - 6*r + 6. Let f(c) = -15*c**2 + 11*c - 11. Let z(s) = -6*f(s) - 11*x(s). Let i(w) be the second derivative of w**4\/4 + 4*w. What is i(z(v))?\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.0099 times 0.52\nAnswer: 0.005148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1\/41 - 38\/123. Which is the third biggest value?  (a) 0.3  (b) -0.1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 267 + 4.88\nAnswer: 271.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 69972 and 4536?\nAnswer: 3778488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 459 and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - 2*j**2 - 3*j + 1. Let r be g(3). Suppose 2*l + 42 - 48 = 0. Let z be 42\/18 - r\/l. What is the greatest common factor of 18 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 25*u = -252 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*p, -4*d + 0*d + 6 = 2*p. Suppose 2*k + 2*m + 154 = d*k, m + 393 = 5*k. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 + 2 + -13 + -3 + 7?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 4:38 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence km when two letters picked without replacement from mkdmmmkmhkmnd?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 36447, 1, -17, 5, 4 in decreasing order.\nAnswer: 36447, 5, 4, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 - -304607859316.6?\nAnswer: 304607859316.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-16)\/42 + (-7)\/(147\/6). Which is the second biggest value?  (a) -4  (b) 12  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -244129 or -244115?\nAnswer: -244115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/36 and -35\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5521  (b) -0.01  (c) 111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 99*a + 1597. Calculate s(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k + 3*g - 6 - 16, 0 = 4*k - 5*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 3225*c = 3220*c + 7, 0 = 4*r - c + 77 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2171302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 10. What is the smallest value in -2\/3, 0, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165691 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 571 + 81. Let c be (0 - -33)*496\/(-48). Let j = c - v. List the prime factors of j.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 3*r - s = 166, 0 = -5*r + 5*s + 215. Let o be 2\/(-6*1\/27). Let y = o + r. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83*q - 5*q - 42*q - 37*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6590963 divided by 47417?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6933740563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 132767436 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -1. Let u(r) = r - 1. Let f(l) = -3*u(l) - z(l). Let s(m) = -4*m + 5. Let w(g) = 6*f(g) - 5*s(g). What is the units digit of w(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 335.6 + -365. Let o = p + 29. Which is greater: -1\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(15)*1)\/sqrt(3) + 2 + 3*sqrt(720).\nAnswer: 2 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yh when two letters picked without replacement from hpnypnllhlllhgh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/(-7))\/((-48)\/168)?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.915868 rounded to 2 dps?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jqopn. What is prob of sequence jpo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 216*g + 5. Let c be f(1). Let m(h) = 71*h**2 - 3*h - 2. Let v be m(3). Suppose 4*o = 3*s + v, -2*o - 3*s + c = -75. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -5, -2, 58\/7, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 10*n = 5*n + 15, 0 = -2*n + 6. Which is the nearest to t?  (a) -3  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -36*n**2. Let x(s) = 7*s. Calculate x(u(l)).\nAnswer: -252*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16933*u**3 - 2*u**2 + 2*u**2 + 33929*u**3 + u - 16890*u**3 + 0*u**2.\nAnswer: 106*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(68) + 0 + sqrt(68))**2.\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19712274*o*p**2*w - 2*o*p**2 - 958*o*p + 2*o - 2*p**2 - 24*p with respect to w.\nAnswer: 19712274*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -81*g - 1. Let n be -76 - 1\/(-2)*-2. Let z = -36 - n. What is the remainder when b(-2) is divided by z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 - 17*i - 12. Let d(b) = -3*b**2 - 50*b - 36. Let q(s) = -2*s**2 + 2*s + 7. Let r be q(-3). Let l(g) = r*y(g) + 6*d(g). What is l(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/42126 and -103\/8930712?\nAnswer: 8930712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(1\/22))**(-24) assuming j is positive.\nAnswer: j**(-252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6345 (base 8) to base 13.\nAnswer: -166c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1351\/8 - -3469\/8. Let c = q - 5169\/20. What is the common denominator of -10\/9 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/8660 and 81\/8660.\nAnswer: 8660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 68471 and 18549.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -33*g**4 - 9*g**2 + 24. Let h(n) = -4*n**2 + 39 - 80 + 53 - 17*n**4. Let m(o) = -9*h(o) + 4*v(o). Differentiate m(k) with respect to k.\nAnswer: 84*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -8. Let z = 71 - 74. Let f be (1 + z)\/((-3)\/3). Solve a*r - f = 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327\/33 + (7\/(7\/4) - (-3430)\/(-245))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004967155 to seven decimal places.\nAnswer: -0.0004967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of -9*x**2 - 1. Let p(a) be the first derivative of -2*a**3\/3 - 381. What is p(u(b))?\nAnswer: -648*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -12 + 12 + -47 + (-10 - -12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-22)\/(-10) + (-1540)\/(-1925).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 3*v, 2*v = 2*l + 3*v. Suppose m - 197 = -2*r + 6*m, l = 5*r + 5*m - 545. What are the prime factors of r?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(117) - (sqrt(117) + -4*sqrt(117)*-3 + sqrt(117))))\/(sqrt(1008)\/sqrt(7) + sqrt(9) + (sqrt(1296) - sqrt(1296)*-3)).\nAnswer: 52*sqrt(13)\/53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 693?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 1149*r**2 - 3. Let w(f) = 4402*f. Calculate u(w(v)).\nAnswer: 22264866996*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*j - 10 = -2*p - 65*j, -3*p = -4*j - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 6*x + 2. Let d be j(6). Suppose -2*t + 16 = 3*v, -d*t + 4*v - 12 = -0. Factor -5*i**2 - 7*i**t + 42*i**4 - 38*i**4 - 8*i.\nAnswer: 4*i*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, -2\/9, 5, -71, -2\/5?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17133*o**2 - 17140*o**2 - o**3 - 17118*o**2 + 51391*o**2 + 2*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/((-16)\/14))\/(2*(-27)\/54)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 9:45 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of 0*v**4 + 58 + 0*v + 0*v**5 + 0*v**3 + 39\/2*v**2 - 10*v**6. Find the second derivative of s(g) wrt g.\nAnswer: -1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1455, 1844, 2493, 3402, 4571?\nAnswer: 6000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 AM and 3:46 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of m**5\/120 - 5*m**4\/24 - 29*m**3\/3 + 12*m**2 - 2*m. Let l(s) be the first derivative of q(s). Calculate l(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -293*t**5 - 40*t + 6.\nAnswer: -5860*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 5*g - 20 = 0, c = -c - g + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -751*o**7\/210 + o**6\/60 + 617*o**3\/6 - 44*o**2 - 3. Differentiate d(i) with respect to i.\nAnswer: -3004*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/4 and 565\/30 + (-40)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 18 = 4*f, -4*f = -7*f + 6. Find n, given that -5*n**2 - n**2 - 4 - 7*n**v + 12*n + n**2 + 4*n**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 plus -39147?\nAnswer: -39147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 155 + -68. Let k = -784\/9 + i. Let d = -1 - -3. What is the closest to 1 in k, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/354 and 31\/13098.\nAnswer: 13098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 423897 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11306 divided by 5.\nAnswer: 11306\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10763 - 10763.0000067447. Round t to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 11\/2 of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of x**4\/12 + 13*x. Let t(h) = 5*h**2. Determine 2*t(y) - 6*z(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the second derivative of 3*n**5\/20 - n**4\/3 + 3*n. Let r(o) = -7*o**3 + 9*o**2. Let c = -6 + -3. What is c*q(f) - 4*r(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o - k = -18, -95409*o + 95411*o + 3*k + 10 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 5 + 4)*(-3*f - 2*f + 3*f) + 13*f + 0*f + f)*(-3*f + 2*f + 0*f) + 2*f**2 + 0 + 0.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 12. Let p be -4 - ((-4)\/4 - s). Let d be p\/2*12\/9. Let i(h) = -h**3 - 7*h**2 - 4*h + 4. Determine i(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/8*1\/((-10)\/(-24)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 25, 41, 55, 67, 77, 85?\n\"Answer: -b**2 + 19*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 11:13 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 139836 = 139837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 - 14*m**2 + 12*m + 16. What is the tens digit of k(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2506 and 9.\nAnswer: 22554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00010278174628 rounded to six decimal places?\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -54800 rounded to the nearest 1000?\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -3*m + 5*h, -3*m + 2*h = 2*m + 56. What are the prime factors of 16\/(-20)*(m + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**4\/2 - 9741*p**3\/2 + 990576*p**2 + 8158520*p + 16473024 = 0. What is p?\nAnswer: -4, 216, 9533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -6*v**2 + 38*v - 22. Calculate q(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*d - 2 = -82. Suppose -13 - 2 = -3*q. What is the first derivative of -d + 1 - 4*p**3 + q + 11 wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.02 - -0.08. Let u = 136 + -135.8. Which is the closest to d?  (a) -4  (b) u  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -11.6. Let u = -11.6 - w. What is the closest to -2 in -2\/11, 0.5, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 97679*n + 2385. Let u(s) = 740*s + 18. Calculate 2*d(a) - 265*u(a).\nAnswer: -742*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((6*sqrt(1452)*2 + sqrt(1452))*-2)\/((1*sqrt(5400))\/(2*sqrt(81))).\nAnswer: 3432*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/68 and -103\/40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2683*o - 104 = 2670*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b**4 - 2*b**4 + b**4)*(-2*b + 0*b - 4 + 1).\nAnswer: -8*b**5 - 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-371.45.\nAnswer: 37.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + 14. Is u equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + -20)*(11\/4 - 4). Solve 0 = l + 5*p - q, 0 = l - p - 0*p + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 132\/1169 - -4563116\/5845. Let o = j - 105638\/135. What is the common denominator of o and 50\/447?\nAnswer: 4023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of 3*i**4\/4 + 18*i - 4. What is the first derivative of m(z) wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -538899.2909 rounded to the nearest one hundred?\nAnswer: -538900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of 0*n**4 + 2*n**2 + 0*n**3 - 1\/6*n**5 + 64*n + 0. Let u(g) = -4*g**2. Determine z(u(d)).\nAnswer: -160*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26028550*1.7.\nAnswer: -44248535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -163*n**3 + n**2 + 3*n + 2. What is the tens digit of h(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 911716.5g?\nAnswer: 911716500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = u - 2*u. Let a = u + 2. Suppose -3*m + 5*p = -a*m - 3, -5*m + 5*p + 10 = 0. What is the closest to -1 in -5, -2\/21, m?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.3870631 decades?\nAnswer: 46.447572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3043 + 2014 = 8*x + 1505. Calculate the greatest common divisor of 6808 and x.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = z, 9*l - 4*l + 5*z = 20. Suppose 4*b - l - 4 = -p, b = 0. Suppose p*r = -0*r + 30. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bjjbbbjb. What is prob of sequence jj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-1))**(5\/11))**(14\/11))**(-33) assuming m is positive.\nAnswer: m**(210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence suj when three letters picked without replacement from {m: 2, k: 2, j: 4, f: 1, u: 2, s: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 245900 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1628580 + 5*h**2 - 814292 - 814281.\nAnswer: 5*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u - 14*u - 8858 = 0. Calculate the common denominator of -13\/9 and u\/(-5562) - 5*(-1)\/(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 5, j: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 9*i**3 - i**2 - i + 1. Let a be g(1). Suppose a*j + 3 = 43. Determine k, given that j*k**3 - k**2 - 3*k**2 - 4 + k + 11*k**2 - 9*k = 0.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(15)\/((sqrt(243) - sqrt(243)*1) + sqrt(243) + sqrt(3)))**2.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**(-1))*l*l*(l*(l\/l**(-7))\/l)\/l)\/((l*(l*(l*l\/(l\/l**8)*l)\/l)\/l)\/((l\/(l*l\/l**(-4)))\/l)) assuming l is positive.\nAnswer: l**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 576165691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 684 = -r + 691 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -27818 + 2?\nAnswer: -27816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 56.29121 from 6178.\nAnswer: 6121.70879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/sqrt(4))\/sqrt(2) + 4 + sqrt(17) + -2.\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 534*t - 673. Is v(24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/3))**(1\/63)*(q**10)**(-2\/27) assuming q is positive.\nAnswer: q**(-46\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2971.9 + 2974.9. What is the closest to 8\/7 in 0, l, 0.024, -1?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, 14, 5, 4 in descending order.\nAnswer: 14, 5, 4, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 18382000 rounded to the nearest one hundred thousand?\nAnswer: 18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y = 6*y + 20. Solve -y*r + 0*r - 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -56*t - 16 + 27*t + 0 + 24*t. Let k be i(-6). What is the third derivative of k*b**5 - 16*b**2 + 10*b**2 + 18*b**2 wrt b?\nAnswer: 840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 167630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 17*c - 539. What is g(-33)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, y: 2, i: 1}. What is prob of sequence iiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21394?  (a) -2  (b) 19  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of -h**4\/4 - 8*h**3 + h**2 - 51*h + 99. Find the second derivative of m(b) wrt b.\nAnswer: -6*b - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3 = -5*r - 18, -5*v - 5*r = 15. Put v, 2, -4 in descending order.\nAnswer: 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4656*j*u**3 + 1181792*j*u**2 - 85*u**3 wrt u.\nAnswer: 27936*j - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 131398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * 19.4.\nAnswer: 7.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 c when four letters picked without replacement from {c: 2, t: 2, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yycccc. What is prob of picking 2 y and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 66866 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6093 + -a?\nAnswer: 6089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 272847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36623420 (base 7) to base 13.\nAnswer: 8ac659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*i + 2*i. Let f(d) = 3*d - 5. Let k(o) = 3*o - 6. Let z(t) = i*f(t) - 5*k(t). Let m(s) = s + 2*s + 0*s. Calculate z(m(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/3, 0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -39188421 and 7.423.\nAnswer: -39188413.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260132 is divided by 129989.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 12*r**2 + 2*r - 22. Let u be s(12). Suppose 12 = -u*b + 2*q, 3*b + 11 = -2*q + 3. Put -1, b, -3, 0 in decreasing order.\nAnswer: 0, -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 14434\/8 - 1 - -26*(-49)\/5096. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 163.9999921 - 164. Round c to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 11:54 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of -q**7\/35 - q**6\/60 + 3*q**5\/10 + 3*q**4\/4 + 2*q**3\/3 - 9*q**2. Let v(j) = 0. What is j?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 56, 80, 88, 74, 32, -44?\n\"Answer: -k**3 - 2*k**2 + 37*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 0 = 5*b. Suppose 0 = 2*q - b + 7. Is (q - 0)\/(10\/(-145)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/42 - (-11 + (-1716)\/(-169)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 14*t**2 - 1. Let s(u) = -39 - 21*u**2 - 38 + 111 - 34. Determine s(i(k)).\nAnswer: -4116*k**4 + 588*k**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 + -210. Let s = -353 + w. Let y = -284 - s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + 9. Let v = -0.34 - 20.66. Let z = m + v. Which is the second biggest value?  (a) 1\/8  (b) 2\/5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51365473169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + 50*x + 290. Let j be t(-9). Put j, -4, 4 in decreasing order.\nAnswer: 4, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.961668s in nanoseconds?\nAnswer: 9961668000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 2*t = 11, -5*x - t + 11 + 2 = 0. Solve 0 = -5*m - x*i - 40, -5*m - i - 30 = -0*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 33 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2\/9 + 715486592*s\/9 - 63990132916471808\/9.\nAnswer: -2*(s - 178871648)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 181051852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 803, 6754, 22919, 54404, 106315, 183758, 291839, 435664?\n\"Answer: 851*l**3 + l**2 - 9*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 76*h**2 + 821*h - 24. What is a(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 divided by -27?\nAnswer: -71\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*v**3 - 53 + 0*v**3 + 63 wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 170777, 341556, 512335, 683114, 853893, 1024672?\nAnswer: 1195451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.878 take away 804.5?\nAnswer: -803.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/3 - 24547786*f\/3 - 150648449375449\/3.\nAnswer: -(f + 12273893)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) -0.2  (c) -3522  (d) 3  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11 and 4499?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from itcic?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1004*b + 301*b + 390*b + 226*b + 254*b.\nAnswer: 167*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -9398580 to the nearest 10000.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 - 6*l**2 - 5*l + 2. Let i be m(-5). Let p(a) = i*a + 8*a - a + 2. Is 10 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 628.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 270*s**2*t*z - 4669*s**2*t - 66536*s*t*z - 5555*s*t wrt z?\nAnswer: 270*s**2*t - 66536*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (5 + -2)\/(9\/6). Suppose -4*t = t - 25. Suppose 5*v - 5*r = 35, -t*v + v + 3*r + 24 = 0. Solve -1 = -w - 2*d, j = -w + v*d - 0*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 6*(sqrt(8) - sqrt(64)\/(sqrt(40)\/sqrt(5)))\/(-1*sqrt(100) + sqrt(4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from miimmiimmmmmmm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, -5, -88, -0.1, -1, 0.5 in descending order.\nAnswer: 41, 0.5, -0.1, -1, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -2785.4 to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 59 + 31. What is the highest common divisor of 252 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10*4\/(-4)*76\/(-608)*40.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) -826  (c) -0.1  (d) 16\/3  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18954517 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 13\/((-26)\/(-3))*(-8)\/6. Let z = -7 - -9. Let b(w) = z*w + 3*w + 0*w - 2 - 4*w + 2*w**2. What is b(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1718*j**2 + 1718*j**2 + 39*j**3 - 11.\nAnswer: 39*j**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 183 - (-69 + 170) - (-2 - (1 + -11))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1636 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 200 and 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 + -29. Let g be (-2)\/(-6) + (-550)\/30. Let f = 26 + g. Calculate the highest common factor of f and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 0, -0.8, -1, -0.2, 203?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s + 17. Let k be g(14). Let q(r) = -k + 3*r + 3*r + 0*r - 5*r. Let z be q(7). Solve z*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-216)\/180*10\/(-3). Let p(y) = -6*y + 3. Calculate p(a).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-7)\/(-3))\/(378\/324). Let j be g*(-1)\/(-4) - (-675)\/150. What is the smallest value in j, 2, 1\/98?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*f - 9*f + 10*f + (-1 + 4 - 1)*(3 + 2 - 4)*(-2*f + 0*f + 4*f).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 4, -5, 3, -0.55?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 - 2*q**2 + (q + q - 3*q)*(-q - 3*q + 3*q) - 28*q**2 + 7*q**2 + 153 - 151 + 8*q as t*q + j*q**2 + w and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**5 + 0*k**5 + 2*k**5 + (2*k**3 + 0*k**3 + 0*k**3)*(3*k**2 - 4*k**2 + 0*k**2) + 8*k**5 - k**2 + k**2 + (-4*k**4 - 2*k**4 + 4*k**4)*(-k + 0*k + 0*k).\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -161, -4 in increasing order.\nAnswer: -161, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1437*g - 2677359 + 2556651 = 0 for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, n: 2, e: 3}. What is prob of sequence ee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 804624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 339262 is divided by 169606.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26262, -52629, -79190, -105939, -132870, -159977?\nAnswer: -187254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 + -6)\/(0 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2. Let h(u) be the third derivative of -2795*u**4\/24 + 4*u**2 + 21*u + 6. Determine h(b(c)).\nAnswer: 2795*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t + t + 4*t. Let k(g) = 0*g - 57 - 48 + 105 + 35*g. Give r(k(o)).\nAnswer: 105*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from cczzzcczzc?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 26233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 81951 and 2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 209*u = 139*u + 770 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14562 divided by 1?\nAnswer: 14562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5069, -5071, -5073, -5075, -5077, -5079?\n\"Answer: -2*n - 5067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -3*p + 50, j = -p - 2*p + 46. Suppose 0 + p = 5*h. Sort -2, -3, h in descending order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 79 in 5, -1\/2, 7, -2\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 11:14 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 140*((-12 - -11) + (-12)\/(-6)). Suppose -4*q = -9*q. Suppose 6*s - 7*s + 5*x + j = q, s = 3*x + 132. What is the greatest common divisor of 48 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of 45*w**2 + 0*w - 9\/20*w**5 + 2 + 0*w**3 - 55\/24*w**4. What is the second derivative of o(y) wrt y?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -77 + (0 + 2)*-2. What are the prime factors of j\/4*24\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -1803*p**2 - 505*p. Let o(w) = -w. Calculate o(r(d)).\nAnswer: 1803*d**2 + 505*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 25737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 383 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.35 + -7.05. Let p = c - -7. What is the biggest value in -1, p, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 12) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 3*z + 11 = 0, 2*p - 6*z - 6 = -8*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 + 14*k**2 - 21*k - 12. Let l be u(-16). Let r = 687\/4 + l. Find the common denominator of 15\/8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 50 - 50. Let f = 180 + d. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73955737 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: Collect the terms in 18*v + 5916 + 11*v**2 - 8*v - 2960 - 8*v - 2956.\nAnswer: 11*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of ((-4)\/(-8)*-7807)\/(-2) - 2\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16*(-1)\/(-252)*-7)\/(((-11)\/(-6))\/11)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (-4 - 1 - (4 + -14))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -290*k**2 - 302*k**2 + 587*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 55\/33*(-24)\/(-10). Solve -5*h + 1 = 3*l + 2, -2*h - n = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 442979 is divided by 1533?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4322 - 4322 + 35407*l.\nAnswer: 35407*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do -8792\/11 and -798 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + (4 - -2) + -6. Calculate the highest common factor of p and 131.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2510 + 8888. List the prime factors of w.\nAnswer: 2, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 3*p**4 + 39*p**3 - 15183*p**2 - 61239*p + 76380 = 0.\nAnswer: -76, -5, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 0*f + 116. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 11282409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f + 5. Let a = 363 + -365. Let x(r) = 1. Calculate a*x(q) + v(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 1. Let q be z(-2). Let v = -1 + q. Suppose 7*i = v*i + 160. Calculate the remainder when i is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 113.5477655 + -65.547759. Let i = q + -48. Round i to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3664278899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 13) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**3 - 285*p**2 + 91*p**2 + 96*p**2 + 97*p**2 + p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1543 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(6\/13)\/(l\/(l*l**(1\/62)*l)*l*l*l) assuming l is positive.\nAnswer: l**(-1227\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 19586615267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 80  (b) -0.4  (c) -3\/8  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 50 - -43. Let a = -92.99927 + g. What is a rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + 13*y**2 + 17*y + 88. What is p(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*z + 0*z - 4*z + (-4 - 1 - 3)*(-2*z - 3*z + z).\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3 - 7 = 0. Let h = 29 + -27. Let y(g) = 3*g**h - 4 - 3*g**3 + 2*g**3 + 2*g**2. What is y(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 3:01 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 23663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*a**2\/4 + 24557*a\/4 - 6699\/2 = 0. Calculate a.\nAnswer: -2233, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of 16*l + 0*l**3 + 6*l**2 - 1\/5*l**5 + 0*l**4 + 0. What is the first derivative of u(s) wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 17604 and 132030?\nAnswer: 264060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4977*o + 3940*o - 8720*o - 8985*o.\nAnswer: -18742*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 91738 = -12*y + 13*y, y = 3*m - 55038. List the prime factors of m.\nAnswer: 7, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 1122*q**3 - 13*q**2 + 3. Let z(c) = 561*c**3 - 6*c**2 + 2. Let j(s) = -2*h(s) + 5*z(s). What is the third derivative of j(x) wrt x?\nAnswer: 3366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hnhdhndhhnnh. What is prob of sequence dnd?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11*(-105)\/28490)\/((-3)\/4).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2709 is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**4\/((j**0*j*j*j)\/j)*(j**(-1))**(-45)*(((j**(-1)*j)\/j*j)\/j)**(6\/23)\/((j\/((j**(-6)\/j)\/j)*j)\/j**(4\/5)) assuming j is positive.\nAnswer: j**(4317\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2584022001 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -84, -99, -84, -33, 60?\n\"Answer: o**3 + 9*o**2 - 49*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one tenth of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*q - 166*q**2 - 4*q - 4*q**4 + 165*q**2 to the form i*q**4 + s*q**3 + f*q + y + k*q**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 11:33 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*-2 + -14 + 21. Suppose -5*m - 30 = -3*w + w, 5*w - f*m = 56. Find the third derivative of 9*g**2 - g**4 + w*g**2 - 10*g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 102570769 or 2?\nAnswer: 102570769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**0)**(-2\/61)\/(g**(4\/7)*g*g**0) assuming g is positive.\nAnswer: g**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 238331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 685129.\nAnswer: 37, 18517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1843692 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 706167 is divided by 45?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1657\/3 + 1131\/2. Let d = p - -10. Find the common denominator of -27\/8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -bd970d + 8?\nAnswer: -bd9705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44388 and 1922.\nAnswer: 42656868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4894686 milligrams in micrograms?\nAnswer: 489.4686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (24724\/224 - (-6)\/(-16)) + -3. Suppose -30*y - 43 = p. Which is the third smallest value?  (a) -160  (b) -2\/9  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/7512 and 125\/1188.\nAnswer: 743688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 557\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -3*f + 22, 18*f - 13*f - 5*k = 10. Solve 2*c + 4 = 2*s - f, -c = 2*s + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 10:01 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9021 - -332. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-1)*-3)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -399 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*c**4 + 460*c**3 + 2405*c**2 + 1940*c = 0. Calculate c.\nAnswer: -4, -1, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 732580 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -3744*b - 1784. Let o(u) = -107*u - 51. Let n(a) = -6*d(a) + 208*o(a). What is the derivative of n(t) wrt t?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 10:36 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66 divided by -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/13 != -2477680?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -50915*g - 19. Let l(p) = -127286*p - 46. Give 5*l(f) - 12*s(f).\nAnswer: -25450*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1089389, -1089370, -1089347, -1089320, -1089289, -1089254, -1089215?\nAnswer: -1089172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -2*t**2\/3 + 84*t - 2646 = 0.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -44.8584 from -187.\nAnswer: -142.1416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 15 = 4*o. Let f(z) = z**3 - 9*z**2 + 9*z - 2. Calculate the remainder when f(o) is divided by -2 + 0 - (-5 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b + 14 = 28. Let d = 84 - -51. Suppose 135*g - d - 43*g**b + 5*g**3 + 9*g**2 - 11*g**2 = 0. Calculate g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 + 2*w + 6. Let p be a(4). Let s(f) = -4*f**2 - f - 4. Let i(y) = 17*y**2 + 5*y + 17. What is p*i(l) - 9*s(l)?\nAnswer: 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-15)*(-10)\/(-36). Are o and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5121\/40 + -993\/8. Suppose 5*z = -5, i - 5*z + 123 = 5*i. What is the common denominator of w and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 6 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zjztrtysztyj. What is prob of picking 2 t, 1 s, and 1 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3, 0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -425\/6 - -71. Let d = 3 + -1. Let n = 1 - 0.9. Which is the closest to d?  (a) -1\/4  (b) n  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2498 divide 744067074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6458\/5 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 100232 and 16643.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 272302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0, -1\/6, 2, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 1 = m - 1, 3*m = k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -4*r**2 + 4*r + 46 - 43 - r**2. Suppose 2*n = -5*w - 19, 2*n + 2*n + 13 = -5*w. Let a(b) = 4*b**2 + 5*b - 9*b + 3 - 5. What is n*q(j) + 4*a(j)?\nAnswer: j**2 - 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -6. Suppose 2*a - 66 = -r, -r - 192 + 34 = -o*a. Calculate the highest common factor of a and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 673 + -633. What is the smallest common multiple of g and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1005457 times 1?\nAnswer: 1005457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 281 + -17142\/61. Is -1 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -483049, -483045, -483041, -483037?\n\"Answer: 4*k - 483053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -66781 <= -66846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -87 + 393. Let t be (-22 + 2182)\/12 - 29. Which is smaller: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -7*j + 34. Give t(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 5*a - 12 + 14 = 0, 5*q + 11 = 4*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -86976.1 + 86975.569941. Let l = 0.04 + -0.57. Let w = k - l. What is w rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 11320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 543 and -1808703.\nAnswer: -1808160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 5*j = -93*j + 108272. Which is greater: j or 1071?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -51, 2\/17, 1\/3, -18\/7, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1250040 + 5?\nAnswer: 1250045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2, -3\/2, 16, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -123.\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 11 - -18ab2?\nAnswer: 18ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59 is divided by 3 + 17\/4*4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -807.6 in 2\/5, -3, -3\/4, 1\/4, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 143 + 125 = -3*t, 0 = 4*x + 3*t - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((sqrt(270) - (sqrt(270) - (sqrt(270) - 6*-2*sqrt(270))))\/sqrt(9))\/(1*sqrt(96)*3 + sqrt(96)))**2.\nAnswer: -435\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in -2\/7, 0.3, 0.1, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 7*a**2 - a - 3. Let h be l(5). Let k = h - 124. Let b be ((-4)\/10*3)\/((-34)\/595). What is the highest common divisor of k and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 42*b + 3\/4*b**2 - 3\/4*b**3 + 108 = 0. Calculate b.\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*j + k = 83*j + 3, -15 = 5*j + 5*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (33\/(-77))\/(3\/(-21)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 27*v**2. Let b(q) = -11*q**2 + 13*q**2 + 18*q**2 + 37*q**2 + 11*q**2. Give -5*b(f) + 12*x(f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -6*w. Let u(s) be the second derivative of -s**7\/2520 - 7*s**4\/12 - 4*s. Let d(r) be the third derivative of u(r). Give f(d(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of x**6\/10 - x**5\/15 - 2*x**3\/3 - 539*x**2. Let g(b) = 13*b**3 - 5*b**2 - 5. Give 4*g(k) - 5*s(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1625 - 1624 + 1214*y**3 + 3251 - 277*y**3.\nAnswer: 937*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 34*r + 4. Determine i(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -20*((-12)\/(12\/1))\/1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 3532 = -6*l - 2*w, 0 = 5*l - w - 8800. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0039060429 to five decimal places.\nAnswer: 0.00391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kjzzmzjzoomzkozzzzz. What is prob of picking 2 o and 1 k?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11781733699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5960330 - 5960329.91000003. Let r = -0.09 + m. What is r rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 254.18?  (a) -0.1  (b) 2\/13  (c) 0  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1046829773202.8759963 + 1046784020161.376. Let q = -45753039 - n. Let t = q - 2.5. What is t rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1360 and -2570 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 4*b**5\/5 - 8997*b**4\/5 - 628251*b**3\/5 + 797117*b**2\/5 - 159873*b\/5 = 0.\nAnswer: -69, 0, 1\/4, 1, 2317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffr when three letters picked without replacement from {f: 2, r: 1, t: 11}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 126588 and 135356.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is b4 (base 15) in base 10?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 6425825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -685791 - -1552792. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 130.72 + -0.72. Let n = 117.2 - s. Let o = 13 + n. Put -0.4, o, 2\/3 in descending order.\nAnswer: 2\/3, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(4 + ((sqrt(5) - (sqrt(20) + 2*sqrt(20)))**2 - sqrt(15)\/sqrt(3)*-3) + 2 + (sqrt(5) - 2*sqrt(5)) + (sqrt(5) - (sqrt(5) - sqrt(35)\/(sqrt(7)*2))**2)).\nAnswer: 3*sqrt(5) + 519\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 435825 = r. Let x be (r\/(-17) - 1)\/460. Let u = -19\/391 - x. What is the common denominator of -45\/8 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30344690 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 2 = -17. Suppose -y*t - 5 = -20. Let h be (-1 - 1)*1 + t. Solve -2*k + 10 = 0, -k - h*k + 28 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -5*t + t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 4*m + 256 = 0, -4*h = 3*m + 241 + 261. Let x be 2\/(-6) - h\/(-6). Let n(q) = -2*q - 13. List the prime factors of n(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = a + 24, 5*a + 0*a + 35 = 3*s. Let k(j) = 3*j**2 + 3*j + 2. What is the units digit of k(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2. Let c(h) = -12*h**2 - 241*h - 6472. Calculate c(l(j)).\nAnswer: -12*j**4 - 241*j**2 - 6472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 22\/10 + (-1)\/5. Suppose 3*i - 6 = 0, -i - 6 + g = -3*o. Suppose 0 = -o*u + 4*b + 60, 0*u = -4*u - 3*b + 98. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(((1 + sqrt(208))**2 - sqrt(208)) + -3)*-4.\nAnswer: -2472 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r + 11. Let n be v(10). Suppose 8 = s - n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 42*v**2 - 2 - v - 20*v**2 - 20*v**2 - 2. Let m be l(2). What is the derivative of -6 + 4 - 4*n**m - n**2 wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2693949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 126 - 10 = 0. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9300926)\/(-396) + 10\/45. Let n = w + -23483. Let p = 2\/2871 + 238273\/28710. Find the common denominator of p and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s - 6. Let w be o(9). Let m = w + 39. What is the remainder when m is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y - y + 3*y)*(-2463714*y**2 + 2463714*y**2 - 5615*y**4).\nAnswer: 5615*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 7*l + 9. Let m be y(-9). Let o = m + 17. Solve 4*d + o = -5*w, -2*d + 2 - 6 = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 492200 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -33  (b) 202  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -9 - (55 + 81 + -168)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34.1 - 19.4. Let m = 15 - f. Which is the second biggest value?  (a) 1\/4  (b) -1  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 624936 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -5*a**4 - 57795*a**3 - 288885*a**2 - 404405*a - 173310 = 0.\nAnswer: -11554, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1404 is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*q - 4*k, -3*q + 2*k = -3*k - 20. Suppose q*x + 50 = 5*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 385483 and 44598023.\nAnswer: 2185303127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of p**6\/60 + p**4\/6 - 4*p**3\/3 + 8*p. Let r(o) be the second derivative of t(o). What is the derivative of r(w) wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/125*-2)\/((-4)\/10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*j - 1230 = -1272 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -12\/17  (b) -21  (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -18, 4 in increasing order.\nAnswer: -18, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.416731128 from -1.6.\nAnswer: -1.183268872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.474  (b) 0.0357  (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 4*d + 6, -2*o - 5*d = 6. Let f(t) = t + 13. Let z be f(o). What is the greatest common divisor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131034 plus 0.5?\nAnswer: 131034.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 637402 is divided by 1897?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45b (base 12) to base 14.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9.5 - -10.5. What is the nearest to 1 in 0, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 440431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -13\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79534 is divided by 7228.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -42856651 take away 0?\nAnswer: -42856651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1603620 + -1603655. Suppose 5*t = -4*l + 3*l - 190, -3*t + 5*l - 86 = 0. Are t and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*b + 13802 + b - 14167 + 2*b + b + 0*b + (-2*b - 5*b + 5*b)*(3 + 4 - 6) - 3*b + 2*b - 3*b in the form i + x*b and give i.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (33\/11*52\/(-3198))\/((-4)\/(-6))\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 20, -0.036, 3, 10, -4.5?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1140?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + (-24)\/(-11)*-1. Let y be (-94)\/(-189) - (-76)\/1026. Which is the closest to -3?  (a) d  (b) 2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2. Let x(a) = 278*a. Determine t(x(r)).\nAnswer: 77284*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**34*c**(2\/45) assuming c is positive.\nAnswer: c**(1532\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**31\/s**(-22))\/((s*(s**(-2\/7)\/s)\/s)\/s**(6\/13)) assuming s is positive.\nAnswer: s**(4982\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*o = -45*o - 20631 + 247111. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o - 1. Let t be (1 - -1) + 14\/(-2). Let l(k) be the third derivative of 2\/3*k**3 + 1\/6*k**4 + 0*k + 0 + 5*k**2. Determine t*g(y) - l(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w - 9*w - 9 = -4*o, -3*w + 13 = 5*o. Which is bigger: o or -34?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25 (base 7) to base 6.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.255483 - -185.422653. Let m = -187.167 + g. Let u = m - -3. What is u rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21816 - -31997. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54388 = -13*l - 54505 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -6*i + 159. Let m(h) = -3*h + 78. Let s(q) = -6*l(q) + 13*m(q). Let b be s(19). Solve -b*o - 4*j + 11 = 0, -5*j = 2*o - 13 - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/7, -2, -2\/411, 0.12, -23, 4 in decreasing order.\nAnswer: 4, 5\/7, 0.12, -2\/411, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -103 + 120040?\nAnswer: 114432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -2*m + 222, 3*m - 12*i = -15*i + 363. Calculate the smallest common multiple of m and 36.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 0.6, -128\/5, 2283?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of j**9\/18 + 2*j**5\/15 - j**4\/8 + j**2 - 34*j. Find the third derivative of y(z) wrt z.\nAnswer: 3360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-16)\/6)\/(1\/(-6)*4). Suppose s*w - 32 = 360. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(2 + 17 + -27).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/21 - (-70)\/3. Suppose 19*x = z*x - 40. Solve -6*v = -v - x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 28\/4*1*38. Let d = -2928\/11 + t. What is the smallest value in -0.04, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 31 - 26. Suppose 2*l - c - 5 = 5, -2*c = -2*l + 12. Suppose -l - z = -v. Calculate the remainder when 17 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3013116109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -57  (b) 2\/5  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 5*r - 1. Let s(n) = -n**3 + 14*n**2 + 3*n - 33. Let x be s(14). Let g be l(x). Let t = g + -44. Solve t = -4*b + 5*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19500733 + 951733. What is n rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 3*o**2 + o. Let g be p(1). Suppose -7*n + g*n - 1230 = 0. Let q = 1745 - n. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sseesessss. What is prob of picking 2 s?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 19 + 0)*(3 + 2 - 1)*(b + 0*b - 5*b).\nAnswer: -112*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27486 - 27776. Suppose 460 = -3*q - 407. Which is bigger: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(5\/(-60) + 36\/(-54)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*q - 68 = 16*q + 9*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 75245 * -811.\nAnswer: -61023695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 + 3*l + 4. Let p(h) be the second derivative of -h**3\/2 - 21*h**2\/2 - 3*h. What is the remainder when b(3) is divided by p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1739313119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3528 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-3)*(c*((c*(c*c**(-3))\/c)\/c)\/c)\/c*(c**(-1\/5))**(4\/7) assuming c is positive.\nAnswer: c**(-249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2779\/9 + -308. Let c = h - 4\/9. Suppose 3*y = -k + 2*k + 8, 0 = -2*y + 2. Sort k, 1, c in ascending order.\nAnswer: k, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 673844 and 2204?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21421 by 5.\nAnswer: 21421\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 799 * -1.1319\nAnswer: -904.3881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43, -77, -103, -121?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-38354)\/(-836) + -3 + 4. Let c = b + -933\/19. Calculate the common denominator of 37\/10 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.007272436296 rounded to four dps?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m - 8. Let c be w(-10). Suppose -4*i - i - j = -22, c*i + 5*j + 5 = 0. Let y = -1 + 0. What is the smallest value in -3, y, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - 4. Suppose -12*u = -10*u. Let i = 5 - u. What is the greatest common divisor of i and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1935 + -831. Suppose -5*b + f = b. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -28 + 4 - (443 - 453)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 11 - 9 = -2*m, 2*m - 4*y - 4 = 0. What is the biggest value in 48, 4, m?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 7:11 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 + 9*t**2 - 22*t + 2. Let m = 26 - 37. Let n be c(m). Solve 0 = 2*k - 4*q - n, q - 9 = -5*k + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -10, 9, -70, -295, -714?\n\"Answer: -8*h**3 - h**2 + 78*h - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = 4*n + 8 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.12 - -0.28. Let x be 7*1\/4 + -2. What is the third smallest value in -0.4, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8068763 to the nearest ten thousand.\nAnswer: -8070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i - 8. Let a be r(-9). Put a, 2, 11 in increasing order.\nAnswer: a, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**4\/4 + 8859*w**3\/4 + 1524267*w**2\/4 - 32313495*w\/4 - 8457225 = 0 for w.\nAnswer: -181, -1, 20, 3115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13 - 3) + 12 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of 0*y + y**3 + 1\/60*y**5 + 5\/24*y**4 + 4 + 0*y**2. Let r(o) be the third derivative of t(o). Determine r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of r**10\/5040 + r**6\/72 + 8*r**3\/3 + 7. Let u(z) be the third derivative of n(z). What is the third derivative of u(b) wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20571 = 3183*b - 116298 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 3. Suppose 145 = 3*f - k*y - 14, -y + 143 = 3*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 12878558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 12:02 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 681, 1735, 3907, 7755, 13837, 22711?\nAnswer: 34935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 54\/(-10)*(-26 - -21). Let g = 245 - 110. What is the greatest common factor of x and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 17092552 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 14 = -16. Let m(o) = 8*o + 2. Let q be m(t). Calculate the remainder when ((-28)\/16 - -3) + q\/(-8) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -84 greater than -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 6*g**2 - 6*g - 1. Let v = 532 + -526. Give q(v).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.2, -19, -2, 1\/4, 985\/4?\nAnswer: 985\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33 + 108. Let m = 82 - s. Is 13956\/m - ((-130)\/(-35) - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13043 - -30066. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 0.0590427 weeks?\nAnswer: 0.4132989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.25 + -0.25. Which is the third biggest value?  (a) 0  (b) i  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 0*q - 3*q = 279, v = q - 89. Let r = 636\/7 + v. Find the common denominator of r and 3 - (-2)\/(-10)*49.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -1172*b**3 + 12*b**2 + 6*b - 18. Let s(k) = -1169*k**3 + 10*k**2 + 5*k - 15. Calculate -6*s(j) + 5*w(j).\nAnswer: 1154*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22386 + -22232. Calculate the least common multiple of 2970 and q.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 7097054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -103578, -4, 3.\nAnswer: -103578, -9, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -95 - -93. Let x = 1.37 + -0.07. Let j = 1 - x. What is the second biggest value in -0.4, n, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q + 2*f + 32, 42 = -5*q + f - 4*f. Let m(u) = -u**3 - 7*u**2 - 10*u - 12. Let c be m(q). Solve -2*v + 3*d = 5, 4*v + d = c - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -260 - 120 = -4*f. What are the prime factors of f?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 474 and 600.\nAnswer: 47400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 185\/21 - 29\/3. Let a = 6.4 - 8. Let c = a - 0.4. Sort y, 2, c in descending order.\nAnswer: 2, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131599529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1)\/(x\/(x**(-6)*x))*((x\/(x*(x\/(x*x**0))\/x))\/x*x*x)**(-9))\/((x\/x**(1\/4))**(-17)*x**(-6)\/x**(3\/7)) assuming x is positive.\nAnswer: x**(-163\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**4 - r**4 + 3*r**5 + (4 - 1 - 1)*(1 - 3 + 4)*(r**2 - 2*r + 2*r)*(4*r**2 + r**2 + 4*r**2)*(r - 2*r - r).\nAnswer: -69*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266 is divided by 246?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 11*x + 89. Let q be h(-7). Let i(c) = -2*c + q*c**3 - 20*c**3 - c**2 - 1 + 0*c**3. Determine i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-50)\/(-15))\/((-15)\/(-18))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 21*x**2 - x - 25. Let j be m(5). What is the highest common divisor of j and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -o**4 + 3*o + 4. Differentiate r(l) wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 68?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2399175544.3 minus -0.738?\nAnswer: -2399175543.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1064 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**2 + 4*f. Let y(o) = -o**2 + 11*o + 18. Let i be y(13). Let d = i - -5. What is the units digit of t(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1\/(8\/(-96))*-128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*q**3 - 5*q**3 + 19*q**2 - 20*q**2 + 2*q**4 - 138*q to the form j*q**4 + w*q**2 + r + s*q + d*q**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -10, 0.2, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3668*t - 2786*t + 1997*t + 5637*t to the form z + x*t and give x.\nAnswer: 8516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/7)\/i)\/i)**(2\/15)*(i**(2\/11)\/i*i)\/(i**(-1\/6)\/i*i) assuming i is positive.\nAnswer: i**(277\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -19 + 3. Suppose -g + 5*p + v = -0*g, -7 = 5*g + 2*p. Let d = -12 - -8. What is the closest to g in -0.4, -0.2, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51392561, 51392560, 51392559, 51392558?\nAnswer: 51392557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 2. Let i = h - -2. Let n be i + -1 - (4 - 20). Solve 4*s = -0 + n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.1799+2\nAnswer: -1.1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - 45*b**2 - 39*b + 212. Calculate t(-44).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 1449 = m. Let a = m - 186. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 - 93*u**2 - 309*u + 405.\nAnswer: -3*(u - 1)*(u + 5)*(u + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1767*m**3*y**2 + 6779*m**3 - m*y**4 wrt y?\nAnswer: 3534*m**3*y - 4*m*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 1) + 2 + (-4 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + 8*t**2 + 8*t - 7. Let r be v(9). Let c be (-2)\/7 + (-57)\/21. Let f(w) = 6*w + 2. Let j be f(c). Is j smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 12:01 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 - (-7 + 80 + -41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25885\/13 + -1991. Which is the closest to -29?  (a) k  (b) 0.036  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 472 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 240768\/7040*6\/19.\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14222129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -169\/749058?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 1:12 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 21*s**3*x - 93164*s**2*x**2 + 2683339*x**2 wrt s?\nAnswer: 63*s**2*x - 186328*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.10674 litres in millilitres?\nAnswer: 20106.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -56112a (base 13) in base 5?\nAnswer: -1004431413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1575 and 10359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 75, -2, 2262 in decreasing order.\nAnswer: 2262, 75, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 28 - ((0 - 3) + 4). Let h = 38 - n. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -347 - -241. Let r = -528\/5 - v. Let s = 35090 + -35089. Which is the nearest to -8?  (a) s  (b) -1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1282236 and 17310186.\nAnswer: 34620372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 51.5 - 51. What is the second smallest value in 2, -1, r, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4 + 5)*(2*t**2 - 4*t**2 + 3*t**2) + (4 - 4 + 3*t)*(0*t - 5*t + 4*t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 146944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 18 = -50. Let s be 9\/((-180)\/w)*-5. Suppose s*q = -3*q + 70. Solve n + 0*n + 7 = 3*r, q = 2*r - 3*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(72) + -1)*-3 + 3*(sqrt(72) + 2))*4 + 1)**2.\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2487.62 <= -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 111 - 106. Suppose -4*z = -t - 565 - 815, 2*z - 690 = -u*t. Does 65 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121220 + -11102?\nAnswer: -210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 2148.182mm?\nAnswer: 2.148182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -14 + -15 + 20 - (0 + 30)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - 18*h - 49. Determine c(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1332\/7 + 14\/(-49) is divided by 67.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96404984 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7364703, 14729410, 22094117?\nAnswer: 29458824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -2\/5 and (1*-2)\/((-112)\/(-539)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19\/4 - -5. Let v = 14 - 17. Let w = 2.8 + v. Which is the closest to l?  (a) 4  (b) 1\/4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1226 + -21991\/18. Find the common denominator of b and -50\/213.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + i = 2, -l + 27 = -2*i + 21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 + 7 = -4*v, -3*o + 3*v = -42. What is the highest common factor of 282 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -6*d - 87. Let o be k(-24). Let b be (-8)\/6 + (-914774)\/o. Round b to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, -5, 10, 31, 58, 91, 130?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/1820*-5)\/(2\/7)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 11) + (-64 - -57) + 0 + 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 8. Let x(p) be the third derivative of p**5\/60 - 2*p**4\/3 + p**3\/3 - 3*p**2 - 4*p. Let k be x(17). Is i at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 543 is divided by 178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 33. Let z = i - -11. Solve z = g + g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 5*r - 3035, -5 = -o - 0. Suppose -3*d + 5*n + 565 = -352, -2*d = -n - r. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1, -5, 3, 66 in increasing order.\nAnswer: -6, -5, -1, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41c3 (base 14) to base 6.\nAnswer: -124303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 5*i + 2*s - 15, 6 = -4*i + 2*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z. Let w(a) = -6*a**2 + 2*a. Let f(v) = -7*v**2 + 3*v. Let h(n) = -2*f(n) + 3*w(n). Calculate k(h(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 52*h**5 + 76*h**4 + 24*h**3 = 0.\nAnswer: -1, -6\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 9*i**2 - 7*i - 14. Let v(c) = -5*c**2 + 4*c + 8. Let s(r) = 4*k(r) + 7*v(r). Let h(b) = 4*b - 6. Calculate s(h(a)).\nAnswer: 16*a**2 - 48*a + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 7:41 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 257814 (base 9) to base 7\nAnswer: 1221520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -2*v**5 + 522*v**4\/7 - 638*v**3\/7 - 54*v**2 + 652*v\/7 - 144\/7 = 0.\nAnswer: -1, 2\/7, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98*a = 97*a + z + 17, -5*z = 25. Calculate the greatest common factor of 16344 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**3 + 3*p**2 - 1 - 10 - 3*p + 14 to d*p**3 + c + h*p**2 + u*p and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 46 + 31 + 2*h - 155 + 6*h**2 + 38 + 47. Let a(u) = 2*u**2 + u + 2. Give -7*a(b) + 2*s(b).\nAnswer: -2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 34863437 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l - 5*l = 279. Let a = 100 - l. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -97*h - 4. Let n(m) = m**2 + 2. Let r(c) = -3. Let y(p) = 3*n(p) + 2*r(p). What is y(z(t))?\nAnswer: 28227*t**2 + 2328*t + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/484 and 71\/242.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/10)\/(78\/195)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4518 divided by -27183.\nAnswer: 1506\/9061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(27))**2 + -3).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -319 + 572. Let z = x - 254.054. Let d = -1 - z. What is d rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 - 1. Let d(w) = -7*w**3 + 13*w**2 + 2*w - 19. Let k(y) = -6*b(y) + d(y). Let l be k(13). Solve -l = 4*o + 4*u - 5, 0 = -o - 3*u - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (1 + -9 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 + 3. Let y(j) = 3*j**2 - j + 7. Let n(r) = -5*o(r) + 2*y(r). Suppose 51*h + 161 = 59. Give n(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -5*g**4 + 6*g**2 + 2. Let a = 12 - 9. Let b(j) = 5*j**4 - 6*j**2 - 3. Let h(i) = a*s(i) + 2*b(i). What is the third derivative of h(z) wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*t = 1036 - 1411. What is the lowest common multiple of 220 and t?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 - -17. Let x = 12 + z. Is -1\/3 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16 and -710.295?\nAnswer: -11364.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/4*12\/36. Let f = -0.01 - 2.99. Let q = -3.4 + -0.6. Which is the closest to 1?  (a) u  (b) f  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16 - 11 + 17)*(-106309*k**2 - 440*k - 251*k + 106307*k**2) to the form n + l*k + h*k**2 and give l.\nAnswer: -15202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 7*d + 215. Let l be w(0). What is the nearest to l in -5, 0, 2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-576)\/56 - ((-12)\/(-7) + -2). Let b(q) = -2*q - 10. Let u(w) be the third derivative of -w**3\/6 + 138*w**2. Calculate z*u(p) + b(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 8*l - 3. Suppose -3*z = -2*w - 0*w + 18, -4*w + 36 = -4*z. Calculate the remainder when u(-10) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 6693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 11*a**2 - 13*a + 15. Determine p(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.15 - -0.09. Let p = -0.47 - c. What is p rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 36*g - 3. Let b be y(-3). What are the prime factors of ((-4)\/(-3)*b)\/(-2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/(-2))\/(2\/12). Suppose j*w = -2*w + 65. Let s = 100 + -62. Calculate the remainder when s is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9\/8 - -5\/8. Which is the third biggest value?  (a) -2  (b) 0.3  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 5:09 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 605106667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -1870*u - 162765. Calculate f(-87).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3115762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*n + 5*b - 11, -69*b = -66*b - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-49)\/(3724\/171))\/(270\/24)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138189.\nAnswer: 3, 73, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*o + 15*o - 12 = 0. Let c(w) = 112*w - 112*w + w**o + 11*w**3. Determine c(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(1900))*6 + (sqrt(1900) + -1)**2 + 0)*-6.\nAnswer: -11478 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -44\/105 - -2\/105. Is -25 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*l - 12*l - 2*l**3 + 12*l + (6 + 12 + 1)*(-2 + l**3 + 2) to d*l**3 + p*l + b*l**2 + n and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 7989.8 from 18.\nAnswer: -7971.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 24, 323, 622, 921, 1220, 1519?\n\"Answer: 299*q - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 371*r + 2. Suppose -6 = -4*q + 10. Suppose 3*x = -2*w - 0*x + 21, 2*x = -q*w + 22. Is b(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (42\/63)\/((-438)\/73)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -146, -294, -442, -590, -738?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 17469  (c) 0.1  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, m: 5, q: 5, g: 2, s: 3}. What is prob of sequence qq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4996\/15 + 333. What is the second biggest value in 0.06, u, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003526272 to 4 decimal places.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fmfffffffffmmf. Give prob of picking 2 m and 1 f.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8130238?\nAnswer: 2, 4065119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (44 - 23) + -2 - (11 - -27)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 37 + 844441?\nAnswer: 844478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 19154.461 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -64. Let x = w + -54. What is the smallest value in x, 2\/9, -1.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 36*m**2 + 228*m - 2722. Is 155 a factor of t(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-8)*10)\/(185\/(-296)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -1\/6, 2\/5, 11, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 15353 at most as big as 15354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.0883966mg?\nAnswer: 88.3966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/34*97\/194.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -80*m**3 - 5*m**2 - m - 2. Let l be n(4). Let u = 1667 - 273. Let q = u - l. Round q to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/251740964 and -47\/17067184.\nAnswer: 1006963856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/6)\/(y*y\/(y\/(y*y**(2\/5))))*y**(1\/7)*y**5*y)**(-2))**(-2\/35) assuming y is positive.\nAnswer: y**(1642\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14900043?\nAnswer: 3, 61, 81421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 15. Let f be 4\/(-56)*(-1 - 0)*133\/38. Which is the nearest to f?  (a) d  (b) 0.1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51, -47, -41, -33, -23, -11, 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in -2, 5, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1343 divided by 119\nAnswer: 79\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/204254 and 59\/52?\nAnswer: 5310604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - 0. Let i = r - 4. What is the second smallest value in 1, 5, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12011 + -3?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do 33 and -6373 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.3  (b) -0.4  (c) 560  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21366.\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16266.9687 - -16266. Round d to two decimal places.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j\/(j\/j**(-2\/3))))\/j)**(-9)*(j*j**(3\/10))\/((j\/(j\/((j\/(j\/((j\/(j\/(j*j**1*j*j*j)))\/j)))\/j)))\/j) assuming j is positive.\nAnswer: j**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6144.785 milligrams?\nAnswer: 6.144785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1324528487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, d: 3, h: 1, x: 3, c: 3}. Give prob of picking 2 d, 1 i, and 1 x.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19834113 * 0.5.\nAnswer: -9917056.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -100101100100110011 (base 2) in base 14?\nAnswer: -40135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 - 23. Let f = 107 + b. Let y = f - 102.0000041. What is y rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-92)\/161)\/((-1)\/(-7)). What is the second smallest value in 371, 1\/5, d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.05 - -0.05. Let m be (-377)\/(-522) - 10\/45. What is the closest to m in 1, l, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + r = 0. Let q be (-12 - -5)*(r - -1). Let t = q + 15. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 99.29694 + -99.3. What is c rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -993*p - 152*p**3 + 4581 + 575*p + 416*p + 2*p**4 wrt p.\nAnswer: 8*p**3 - 456*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (95 - 1) + 4 + -1 + -3. Suppose a + 60 = 2*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 5. Suppose 0 = g + r, -5*f - 4*g = -g - 6. What is w in 16*w**f - 28*w**2 + 51*w**5 - 134*w**5 + 8*w + 28*w**4 + 59*w**5 = 0?\nAnswer: -1, 0, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 + 9*i**2 - 10 + (-3 + 3 - i)*(3 - 3 - 2*i) + 4 - 4 - 2*i**2 in the form c + z*i + n*i**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34406212?\nAnswer: 2, 313, 27481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6*-8*3996\/(-72). Let g = -1033 + s. List the prime factors of g.\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 14*u**2 - 5*u + 4. Let f be c(1). Solve -2*s - f = 5*q + 7, -7 = s + q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -8*n + 76. What is c(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 182217377*b**3 + 280*b**2 - 248222*b.\nAnswer: 1093304262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - 10. Let i be 4\/6*(10 + z). Is -4 - (4 + i - 299) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 44058228 + -8?\nAnswer: 44058220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 6*p**2 + p - 3. Let z(k) = -7*k**2 - k + 3. Give 5*x(t) + 4*z(t).\nAnswer: 2*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(6\/8) + -2. Suppose -1 - 5 = 3*f, -k + 4*f + 4 = 0. Sort b, 6, k.\nAnswer: k, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**7\/m**(-2\/5))**(-35) assuming m is positive.\nAnswer: m**(-259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 9:04 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 4*i - 2, -2*i - 2*i + 16 = 4*s. Let w(r) = -1 + 0 + r - s*r. Let c(p) = -4*p - 1. Let j = -4 - -7. Determine j*w(q) - c(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 2:14 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4 = -g. Suppose -2*b + 12 = -4*u + u, 5*b - 30 = 2*u. What is the first derivative of -i - 2 - g + b wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -7*h - 30. Let n be j(-5). Suppose n*o - 9*o = -28. Suppose o*a - 6*a = 12. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 42948080208 and -0.3.\nAnswer: 42948080207.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**4\/9 - 35*p**3\/9 - 338*p**2\/9 - 544*p\/9 = 0. Calculate p.\nAnswer: -17, -16, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 126*d + 130*d + 2 = 0, 0 = 5*c + 2*d + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-74)\/(85*(-36)\/(-4590))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of a**4 - 627040*a**3 + 17184*a + 154 wrt a.\nAnswer: 12*a**2 - 3762240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - -1. Let k = -1 + j. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-44)\/(5*(-3)\/((-90)\/(-12))). Calculate the highest common factor of 418 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 4*l. Let p(q) = -q**2 + 5*q. Let g = 29 - 27. What is g*p(d) + 3*n(d)?\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -43, 20, 1, 5.\nAnswer: -43, -13, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -174 or -173?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + (10 - (-4 + 26))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and -19.05.\nAnswer: -18.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -848.0321815 to one decimal place.\nAnswer: -848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (6*60\/72)\/((-10)\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.141690855 to 4 decimal places.\nAnswer: -0.1417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23270 or -23269?\nAnswer: -23270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 24 = -4*b. Let g be b\/(-9)*9\/(-3). List the prime factors of 0 - (g + 0 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(-4)*(-4)\/(-1). Suppose -3*u - 19 = -5*c, 3*c - 5 = 5*u - 0. Let x(g) = 2 + g - 1 - u - 2 + 5. Determine x(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 24\/6228167 and -33\/82098565.\nAnswer: 903084215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppplphppph. What is prob of picking 2 h?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16673\/5 + -3334. What is the second smallest value in 12, 31, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 271\/761201?\nAnswer: 271\/761201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {j: 1, o: 2, b: 6, k: 4, c: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 57 + -138. Suppose -2*o - 130 - 4 = -h, 5*h + 4*o = 698. Let a = h + w. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 divided by 173.\nAnswer: -22\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-15) + (-24)\/(-20). Suppose -5*f = 2*p + 7, -3*p - 7 = 6*f - r*f. Let s be p\/2 + 171\/6. What is the highest common divisor of 21 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((11*s + 4*s - 28*s + 4 - 4 - 2*s + (2*s - 1 + 1)*(3 - 5 + 1) - 3*s - 4*s + 6*s)*(0 + 1 + 0) + 3*s + 1 - 1)*(0*s + s - 6*s + 2*s**2).\nAnswer: -30*s**3 + 75*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - ((4 - -3) + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*b**2 + 2*b**2 - 5*b**2 + (3 - 3 + 2*b)*(0 + b + 0) + 2*b**2 - 4*b**2 + 4*b**2 - 154*b**2 + 3737*b - 3737*b.\nAnswer: -148*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1631105 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, l: 4, m: 1, e: 3, n: 1, p: 2}. Give prob of sequence npe.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -73 - -78. Which is the smallest value?  (a) g  (b) 9  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12288*s**2 + 26113*s**2 - 6404*s**2 + 3625*s**2.\nAnswer: 35622*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 - -21. Suppose n*j - k - 14 = -2*k, 26 = 5*j - k. Let v = 2.2 + -2. What is the nearest to -0.1 in v, -1, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 6*f - 3*f)*(-3*f**2 + 40 - 24*f + 42 - 81).\nAnswer: -6*f**3 - 48*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from yycycycmmcymyfc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26951 - 26951 + 54*l**3)*(-82*l + 6359 - 6359)*(-4 + 2 + 3).\nAnswer: -4428*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2. Let n(d) be the second derivative of 4*d**3\/3 + d**2 - d. Give t(n(w)).\nAnswer: 64*w**2 + 32*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(2\/7)*x*x*x*x*x*x\/x**(-11)*x*x)**(-1\/20))**(-2\/21) assuming x is positive.\nAnswer: x**(9\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -5*m - 52. Let u(l) = l**3 + 8*l**2 + 5*l - 9. Let g be u(-7). Let z = g + m. Let x(f) = 3*f - 1. Determine x(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 + -5 - 4)\/1. Let d be (-8)\/v*(-9)\/(-2). Let m be d\/2 - (-2)\/1. Solve -5*u = -m*w - 20, 2*u + 2 = -4*w + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 358873 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 20299817?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**3 - 3*v**2 + v + 2. Let l be u(-2). Suppose 3*b - 796 = -4*a, -l*a + 269 = b - 7. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1eb0ec (base 15) in base 7?\nAnswer: 15540063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32\/(-4) + 7)*4\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3 + 339*m**2 - 9816*m + 18300.\nAnswer: -3*(m - 61)*(m - 50)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 37 - 13 = 0. Calculate the highest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(65) + sqrt(65)*1*6 + sqrt(65)))\/(-6*(sqrt(605)*-2 - sqrt(605))).\nAnswer: 8*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, f: 1, l: 2, v: 1, w: 1}. Give prob of picking 3 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 3 + 3)*(-1 - 3*h**2 + h - 3*h + 0*h**2).\nAnswer: -3*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 65a (base 14) to base 4\nAnswer: 103220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 315*g**2 + 19557*g - 158. Determine p(85).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25580 - 38845 = -3081*m + 2222*m for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 PM and 5:38 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*37755697.\nAnswer: 18877848.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 693*v**3 + 372*v**3 + 368*v**3 - 1807*v**3 + 362*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45 - -23) + -1 - -55.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*f + 52, 0 = f - 3*f - 4*l - 2. Solve -5*g + f = -11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(3) + 0 + ((sqrt(12)\/sqrt(16))**2 - sqrt(3) - sqrt(3)).\nAnswer: -sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.94 and -11409.\nAnswer: 22133.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -106 + 108. What is the closest to w in -2, 1\/2, -10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.2  (b) 2\/81  (c) -3  (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1139 - 564. What is the lowest common multiple of 11 and z?\nAnswer: 6325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d + 1. Let q(b) = b + 1. Suppose -5*w - 2*m = -15, -w - 4*m + 6 = -15. Determine w*i(o) - 2*q(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 329863 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 228090.\nAnswer: 2, 3, 5, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.074765 to 3 decimal places.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-14)\/(-28)*(10\/3 - 0). Let q = -0.3 - -0.1. Which is the third smallest value?  (a) n  (b) 8  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6157094287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21512.09 - 21514. Put -3, l, 0.01 in decreasing order.\nAnswer: 0.01, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*o + 217 = -206*o - 91*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4*w + 33 = -381, 3*p - 631 = -4*w. Is 32 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/7407332 and 59\/502192?\nAnswer: 29629328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 594 a factor of 183027563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 216, 14.4, -16?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of 0*h**4 + 1\/60*h**5 - h + 0 - 14\/3*h**3 - 8*h**2. Differentiate q(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -350953\/360 - -4879\/5. What is the common denominator of i and 85\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (k - k - 3*k)*(k - k - k**3) + 2*k**2 + k**4 - 2*k**2 to the form y*k + d*k**2 + x*k**4 + z + n*k**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 110 + -109. Suppose -3*a = -3*u + 87, -u = -5*a - 26 + o. Find the second derivative of -u*i**2 + i**2 + 35*i - 61*i wrt i.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 266*t**2 - 941*t - 1829705 wrt t.\nAnswer: 532*t - 941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v - 15. Suppose -3*f - f + 8 = 0. Let n(k) = -3*k - 31. Let a(t) = f*n(t) - 5*c(t). What are the prime factors of a(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.4  (b) 4  (c) 33  (d) 3  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3. Let g(x) = 6*x**3 - 26*x - 19. Let h(z) = g(z) - 6*v(z). Let o(s) be the first derivative of h(s). Find the first derivative of o(y) wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjljjjjljjjjljljjj. What is prob of picking 2 j and 1 l?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 97180 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 52044 = -6*m, -2*m - 7461 = -5*v + 122688. What are the prime factors of v?\nAnswer: 3, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23.1 times -0.32\nAnswer: 7.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 86\/1023 and 29\/2316444.\nAnswer: 25480884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 258\/277 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3405 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.6 + 0.4. Let l = w - -1. Which is the closest to l?  (a) 2\/13  (b) -3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at most as big as -10.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -96865 + 9?\nAnswer: -96857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2213 is divided by 185.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/15*1\/(6\/(-20)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3515240 + -3310061.1. Let j = g + -205177.709947. Let r = j + -1.19. What is r rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 3*c**3 + 3*c**2 + 4*c. Let k(w) = w**2 + w. Let n(a) = a**2 + a. Let t(z) = 7*k(z) - 6*n(z). Calculate m(o) - 3*t(o).\nAnswer: 3*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**4\/7 + 1182*l**3\/7 + 24864*l**2 - 175232*l\/7 = 0. What is l?\nAnswer: -296, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1032 = 11*x + x. Suppose -35*y + 1822 + 5703 = 0. What is the greatest common factor of y and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 170 + -64. Suppose 3*q = 541 - l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70077506 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 8. Suppose 5*m = g + 27. Suppose 12 = 2*k + 2*k - 4*y, 2*k + 2*y - 22 = 0. Does m = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 + -28 - -1 - (-2 - 1) - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -z**4 + 2*z**3\/3 + z**2 - 2*z\/3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(3))**2 + 4 - (2*sqrt(300))**2) + (-1*(1*(-1 + sqrt(3)) + sqrt(3)))**2.\nAnswer: -1180 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 44*a - 1933. What is n(44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 AM and 7:14 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -25\/12, -657, -1\/4 in decreasing order.\nAnswer: -1\/4, -25\/12, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8767 - -7713380?\nAnswer: 7713380.8767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 272 and 6?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(-3*j + j**2 + 3*j) - 3 + j**2 + 3 + (-3*j**2 + 5*j**2 - j**2)*(1 - 2 + 3) - 2*j + j**2 + 2*j - 2*j**2 + 0*j**2 + 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1102, 2203, 3304?\nAnswer: 4405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 3*f + 7. Is f less than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 780.4717 grams to kilograms.\nAnswer: 0.7804717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 0, 328, -2 in increasing order.\nAnswer: -6, -2, 0, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-2637)\/(-2051))\/((-4)\/((-952)\/3))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*k**3\/7 - 100784*k**2\/7 - 661388*k - 53217400\/7 = 0. Calculate k.\nAnswer: -25150, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = d - 6*d. Let c = d - 13. Let x = -11 - c. What is the greatest common divisor of x and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.2782642*1\nAnswer: -3.2782642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/117 in 2\/15, -5, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 4*m, -3*m = 6*z - 7*z + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/2)\/(3\/2). Suppose -x - 3 = -4*z. Which is smaller: z or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 1368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*i - 9 - 4*i - 5*i - 7*i wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -4, 446, 137.\nAnswer: -4, -1\/2, 137, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*g, -4*i = 2*g - 4*g - 32. Let t be (2 - 0)\/((-5)\/i + 1). Solve 2*k = -0*o - o - 2, -5*k + 21 = -t*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (48666\/(-15) - -4)*(-5)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:22 AM and 9:28 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (5*12\/(-270))\/((-5)\/10)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23 + -1034445?\nAnswer: -1034501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 10 = 4*f, -2*w + 170*f - 165*f - 35 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -267?  (a) -4  (b) 3\/5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = f + 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7407843 millennia to years.\nAnswer: 740.7843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 11 + 11)*(6171*r - 46*r**2 - 6171*r + 2).\nAnswer: -184*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90)\/(-36))\/(2 + (-17)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 10 = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 90185920 to the nearest integer?\nAnswer: 9497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/8*(-434946)\/39819?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5447532 (base 8) to base 13.\nAnswer: -3c2669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -6\/7670261?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11 + -56?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8306, 8193, 8008, 7751, 7422, 7021, 6548?\n\"Answer: -36*j**2 - 5*j + 8347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**4 + 4*z**4 - z**4)*(6 - 6 - 6)*(0 + 0 + 3*z) + z**5 - 2 + 2.\nAnswer: -35*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 23*j**2 + 89*j + 86. Let c be w(-1). Solve -14*r = c - 48 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**3 + 3*q**2 + q + 3. Let z be f(3). Let p(d) = -17*d**3 + 5*d**2 + 9*d + 8. Let m be p(z). Round m to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -8, -23500008 = -q + 6*q + 2*x. What is q rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32281*m + 324 = -32254*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**2 + 5*p - 7. Let w = -1375 + 1378. Calculate c(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29770, -59550, -89332, -119116?\nAnswer: -148902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 1383*r - 4 + 4 - 707*r - 681*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*p**3 - 3181920*p**2 - 3181915*p.\nAnswer: -5*p*(p + 1)*(p + 636383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13200 and 383328?\nAnswer: 9583200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -202340402 (base 5) in base 14?\nAnswer: -176673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 10 = 4*f, 16 = 2*x - x - 2*f. Let m be (x\/12)\/((-2)\/(-4)). Suppose -5*l = n - 105, 6 = l + 3*n - m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 - 11*j**2 + 13*j - 32. Let c = -3611 + 3621. Calculate w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -36*b**3 + 5917 - 336*b - 2998 - 224*b**2 - 2983 = 0.\nAnswer: -4, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4*r - 8 = -0*r, -2*u - 5*r = 23. Let z be u*(-2 - (3 - -20)). Find the common denominator of 41\/7 and (4 + -1)*z\/48.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 + 13*k**2 + 12*k + 3. Suppose 6*g - 2*r - 298 = g, -5*g + 310 = -5*r. What is the remainder when l(-11) is divided by g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17774638 - 4*g - 17774638.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2202 - 12?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 23\/3 in -1\/111, 22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 3*c + 48. Find the second derivative of -25 - 15*r**2 + c + 10 + r wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-73 + 72)\/(13\/(-2)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36548 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pkog when four letters picked without replacement from {p: 2, k: 3, g: 2, o: 4, v: 4, e: 3}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-3) + 1)\/(-1292*302\/(-123216)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5555880 and 16104?\nAnswer: 5555880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 17 + 122 = 5*k, -k + 46 = -4*d. Suppose -4*c + 16 = -2*r, -2*c - 5*r = -5*c + k. Solve 0 = -c*h + 11 - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(171\/(-285))\/((-6)\/(-35))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -32 + (-13 - -16 - -16) + (39 - 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 3*b - 4*b - 175999905, -b = 5. Suppose 5*m - m + 4*w + g = 0, m + 8799975 = -5*w. Round m to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 190*i - 114. Let h(r) = -r + 1. Determine -114*h(u) - n(u).\nAnswer: -76*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -566 + 547. Let p = 18.557 + 0.318. Let y = z + p. What is y rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -d**6\/420 - d**5\/42 + d**4\/3 + 32*d**3\/21 + 406*d**2. What is l in v(l) = 0?\nAnswer: -8, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + 116343005?\nAnswer: 116343002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*g + 51*m - 298 = 18*g, 4*g + 3*m - 26 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 3*p + 5*p. Suppose -39 = -5*k + 11. What is the least common multiple of p and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1968\/90 + 2\/15. Calculate the highest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zqgizio. Give prob of sequence zizo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c - 3*c + c + (c + 2*c - c)*(-1 + 2 + 1) - 2 - c + 2 + 2*c + 0 + 2 - 3*c + (2*c - c + 0*c)*(-5 + 2 + 1) + 5*c - 2*c - 4*c - 46*c - 36*c + 67*c.\nAnswer: -15*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 730 is divided by 92?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 5*k = 91 - 93, 2*m - 4*k = 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -5.101\nAnswer: -20.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/12 and -51\/1426?\nAnswer: 8556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do 20 and 7581 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 126 and 110254698.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 46 and 2622?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**0)**(27\/5) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000275079 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28, 37, 68, 133, 244, 413, 652, 973?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-24)\/12 - 22\/(-14). Which is the second biggest value?  (a) 2\/9  (b) x  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 155 + 16*l - 78*l**2 - 154 - 115*l**2 to f*l + h + c*l**2 and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u**3 + 3743 - 3743 - 7*u - u**2. Let a(n) = n**3 + 3*n. What is -7*a(c) - 3*x(c)?\nAnswer: 2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 254.5468ng in tonnes?\nAnswer: 0.0000000000002545468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g**3\/4 + 10453*g**2\/4 - 20909*g\/4 + 10455\/4 = 0. Calculate g.\nAnswer: -10455, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**2 + 2 + 5 + 49*d - 4 - 8 + 4 to the form q*d + g*d**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 5*k**2 + k + 2. Suppose 5*r + 19 - 34 = 0. Suppose 0 = -r*z - 15, 0 = -3*x + 3*z + 2*z - 38. Let v = 26 + x. Give y(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*y**5 - 427*y**2 wrt y?\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (84\/112)\/((-13)\/((-1144)\/6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.5, -1\/5, 60, 59491, -5\/3, -3\/7, 1?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/183 and 309\/(-108) + (2 - -1).\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 110 = 2*v - n - 4, 3*v - 162 = -3*n. Calculate the smallest common multiple of 42 and v.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**2 - 6*d + 4. Suppose 0 = -5*l + 64 - 14. Let q = l + -11. Let o(y) = -y**2 - y - 1. Let s(c) = q*o(c) - k(c). What is s(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of 2*u**7\/35 + 3*u**6\/8 + 3*u**5\/5 - u**4\/2 + 19*u**2\/2 - 23*u - 2. Let x(l) be the first derivative of y(l). Solve x(n) = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1976612 divided by -167\nAnswer: -11836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3246686 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*a - 184*a = -63 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 4*r + 2. Let d(b) = b + 1. Let c(q) = -2*d(q) + f(q). Let x(p) = -22*p. Determine x(c(m)).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 4*s + 86 = 0, -4*s = 4*f + 82 + 90. Let b = 80 + f. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -86 + 130 - ((-63)\/(-45) - 6\/15)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -3*z**2. Let d(s) = -26066*s - 32. Calculate d(j(y)).\nAnswer: 78198*y**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (17 + -19 - -53)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (123\/820*-56)\/(1\/(-5))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxloxolxsvxo. What is prob of picking 1 o and 1 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -23*w - 22. Let y be j(-5). Let r = 98 - y. Solve 0 - r = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**2 - 11*m - 13. Let s be p(-9). Determine b so that 0 - 3\/4*b**3 - 1\/4*b**s + 0*b - 1\/4*b**2 - 3\/4*b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a (base 14) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**3 + k**3 + 0*k**3 + (-k**2 + 0*k + 0*k)*(5*k - k - 5*k) + 17165 - 17165 + 540*k**3 - 5*k**3 + 4*k**3 - k**3.\nAnswer: 537*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 0*t - 155 = 0. Let h = 120 + -162. Let k = t - h. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 8:35 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbwwwwbwabbwewbwbww. Give prob of sequence bwew.\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x**3 - 35*x**2 + 146*x - 3. What is the remainder when y(7) is divided by 30?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + 82 - 112 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 142, 651, 1512, 2707, 4218, 6027?\nAnswer: 8116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -6. Suppose -v - 3 = -u - u, -5*v = -u - 3. Suppose -h - u*k + 14 = 0, 4*h - 5*k - 56 = -r*k. What is the greatest common factor of 126 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 830668449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((260\/(-39))\/10)\/8?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**2\/2 + 5931*o = 0. Calculate o.\nAnswer: 0, 11862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 17, 5, -5, -13, -19?\n\"Answer: k**2 - 15*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.7386 rounded to 1 decimal place?\nAnswer: 50.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, l: 2, q: 2, k: 1, h: 1, i: 1}. Give prob of picking 1 u and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-11)\/22 + (-21)\/(-6). Suppose -4*x - 4 = -n*a, -7*x - 5 = -a - 2*x. Suppose a = -q + 11 - 28. Is q >= -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8107611 or 8107621?\nAnswer: 8107621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u**5 - 3*u**3 + 2*u**3 + 131*u + 53*u - 360 - 24*u**3 + 26*u - 35*u**4 + 215*u**2 = 0.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 18092\/34 + (-86)\/731. What is the greatest common factor of 228 and y?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 7, l: 4}. Give prob of sequence ala.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 250 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 + 4*s**2 + 3*s - 5. Let t = -93 + 97. What is p(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 + 8. Let t be (-1)\/(-3)*r\/(-6). Let h = 39 - 38. Which is the third biggest value?  (a) t  (b) h  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 3, 2*v - 37 = -4*o - v. Let g(f) = 1 + 9*f - o*f - 16. Let x be g(-14). Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 2. Let b(m) = -55*m + 648. Let k(j) = -3*j + 35. Let h(s) = -2*b(s) + 37*k(s). Give h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.855835*-32\nAnswer: 59.38672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32.412 - -53.1374. Let x = b + -20.7. What is x rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7, 0.976, 8\/5, 3, -2, 3\/4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/65?  (a) -4  (b) 0.1  (c) -2.14  (d) 0  (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10270 - -2359. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-115)*322\/56)\/(-1*21\/24)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 2:14 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -182*m - 240 = -194*m. Solve m = -4*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/4*(-8 + (-5268)\/18). Calculate the greatest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of 1\/24*c**6 + 1\/20*c**5 - 1\/12*c**3 - 1\/16*c**4 + 0*c - 9 + 0*c**2. Factor s(f).\nAnswer: f**2*(f - 1)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-615)\/(-55) - -2 - (-8)\/(-44). Solve -k*z + 14*z = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.64 * 617.552\nAnswer: 1012.78528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 364 a factor of 118692756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/14*105\/(-75).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -l + l**3 + l + (2*l - l - 3*l)*(11*l**2 + l**2 + 151*l**2) in the form k*l**3 + w*l + y + g*l**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53 + 58. Suppose x*u - 6*u + 90 = 0. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 1 - (-138 - -134)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10629369 is divided by 1406.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2680\/(-1675))\/(1\/(-10)*-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 54*b**4 + 0*b - 31*b**2 - 105*b**4 - 3*b + b wrt b.\nAnswer: -1224*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 * 0.0472.\nAnswer: 0.4248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 31464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19.6175308745 - -0.0775610545. Let g = -19.54 - s. Round g to six decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -75710, -151405, -227092, -302771?\n\"Answer: 4*o**2 - 75707*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1087\/11 - (-14)\/77. Suppose -6*c = -9*c - k. Calculate the remainder when ((-3)\/(-2))\/(c\/(-1298)) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*d**2 - 2*d**2 + 4*d**2 + 3 - 3 - 2*d**2 + (-48 + 9 + 0)*(-6*d**2 + 23 - 23).\nAnswer: 230*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 + 21*n**2 - 39*n + 59. Let i(h) = 27*h**2 - 6*h - 2. What is the remainder when k(19) is divided by i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 12150991\nAnswer: -4\/12150991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2 - 7*q + 3*q**2 + 13*q - 2*q**2 - 2. Give h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(11) - ((sqrt(33)\/sqrt(3))**2 + -2))*1.\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, z: 1, l: 2, m: 4}. Give prob of picking 1 l, 1 z, and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 320\/(-240)*(-42)\/(-35).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/10)\/(448\/(-320))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 PM and 2:23 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5130 = 64768*h - 64673*h for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19 + 27. Let g be (179 + -175)*2\/4. What is the highest common divisor of a and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.013111255 and -373666.\nAnswer: -373665.986888745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1028093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -365 - -363. Which is the closest to 2?  (a) g  (b) -2\/9  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*f - 4*a - 15, 3*f - a = 10. Suppose -12 - f = -7*k. What is the units digit of 10 + 3 + 2 - k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 2  (b) 0.3  (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 - 11. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iijiiijj.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 621 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/(-2)*(-2)\/(-8). Let s(c) = c**3 + 10*c**2 - 10*c + 13. Let f be s(-11). Suppose -h - p - 5 = 0, 4*h + 20 = -f*p - 0. Sort h, v, -1, -3.\nAnswer: h, -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 669 < -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-51823)\/(-5 - 0 - -6). Let r = 362028\/7 + y. Let p = r - -105. Which is the third smallest value?  (a) 1\/23  (b) -0.5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 + 4*f**2 + 4*f + 3. Let c be k(-2). Let g(y) = -2*y**3 + 4*y**2 - 2. Give g(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 604281995 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (5*sqrt(175)*-2)**2 - ((sqrt(84)*1)\/sqrt(3))\/(-6*sqrt(20)\/sqrt(5)).\nAnswer: sqrt(7)\/6 + 17496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1216) + (1 + sqrt(1216)*1)**2)*-1.\nAnswer: -1217 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mumu when four letters picked without replacement from pumuuhm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 3)*(-z + 2*z + z) - 2 + 2 + 2*z + 0*z + z + z + 6*z + 9*z - 3*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3*t + 35. Calculate the remainder when a(11) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 243, -34770, 2?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -122, -498, -1146, -2078, -3306?\nAnswer: -4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 58 - 55. Let r be (-4 + 15 + g)\/1. Let x = r + 1137. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 0*b + 24 = -4*w, -5*w - 45 = -5*b. Let a be b\/((27\/6)\/3). Is 9 a factor of (26 - 0) + -3 + a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -8) + 21 + -21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 g when three letters picked without replacement from jjjggjggjgjjjjgjjj?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (98652256\/(-24))\/19*18\/(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 0 - 45 = 0. Let r be t\/(-2)*(-8)\/6. Let z be r\/(-8) - (-1)\/4. Sort -5, -4, z in descending order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(242) + -1 + -1 + -4 - (0 + sqrt(242) + 1 + (sqrt(242) - (0 + sqrt(242) + sqrt(242))*-4)**2 + 2))*-2 + 1.\nAnswer: 39231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 less than -1099132807844?\nAnswer: -1099132807843.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -248255, -496523, -744779, -993017, -1241231?\n\"Answer: l**3 - 248275*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -140214423425 + 2?\nAnswer: -140214423423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 689590*m - 4 + 4 - 690358*m as x*m + t and give x.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 109.63 + -109.76821. Round v to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.38 - -9.38. Let h = -8.794 + -0.006. Let s = h + o. Which is the third smallest value?  (a) s  (b) 0  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.97 + -1. Let v = -3.03 - d. Let f = -2.978 - v. Round f to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -1, -2, 1\/5, -29?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 16217 and -0.1?\nAnswer: 16217.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -324.6 greater than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 140\/9 - 46\/3. Put 1, x, 0.03 in decreasing order.\nAnswer: 1, x, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 33*k**2. Let n = 1707 + -1699. Let s(u) = -50*u**2. Calculate n*h(p) + 5*s(p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*b - 408 - 8 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + -21 + -16 - -22) + -1 + 13 - 23?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 23*z**3 - 2 - 16*z**3 - 66*z**2 + 43*z**3 to the form i*z**2 + r*z**3 + n*z + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, o: 7}. What is prob of sequence qq?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*r - 1437 + 1689 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*99.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -106 * -43852.4.\nAnswer: 4648354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1522769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ev when two letters picked without replacement from {f: 1, v: 1, e: 2, d: 2, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(4 + (sqrt(32))**2 + (-2 + sqrt(2) + -2)**2).\nAnswer: -16*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 74*r**2 - 2*r**3 - 4 + r - 81*r**2 + 3*r**3 + 6*r - 4*r. Calculate u(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, j: 1, t: 1, h: 1}. Give prob of picking 1 h and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7\/3 - 25\/12. Let i = -6 + 6. Let z be i\/(4 + -2 + -1). Is z bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*u - 155*u = -220 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express p + 6*p**2 - 4031 - 3*p**2 + 4027 as r*p**2 + k*p + t and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 8:52 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1148 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -2*z - z - 62, z = -2*j + 16. Factor 41*r - 7*r + j*r**2 - 1 + 13.\nAnswer: 2*(r + 3)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 17 = -3*h. Suppose -3*r + 144 = h*t, -61 = -r - t - 4*t. Is 36 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -106*c**3 + 229 wrt c.\nAnswer: -318*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22325646 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24307 by 1.\nAnswer: 24307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 6 = 4*i - 2*i, 2*i + 6 = -5*r. Let h(d) be the first derivative of 0*d**3 + 1\/3*d**6 + 2 + 0*d**i + 0*d + 8\/15*d**5 + 1\/6*d**4. Factor h(w).\nAnswer: 2*w**3*(w + 1)*(3*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/43 smaller than -1110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 10*w + 0 + 0)*((-2*w + 2*w + 3*w)*(3 + 0 + 0) - w - 2 + 2).\nAnswer: -80*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -10*m - 9. What is the remainder when q(-5) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**(-21)*i*i**(-3\/11) assuming i is positive.\nAnswer: i**(-212\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 4 = -0*m. Suppose -7 = -4*i + 3*i. Suppose -3*v + 4*c = 32, -4*v = i*c - 3*c - 4. Which is bigger: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5000 (base 13) to base 7\nAnswer: -44012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 174.\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - 9*m + 14. Let p be s(-10). What is the third derivative of -34 - 33421*a**3 + 33417*a**3 - 2*a - 4*a**p + 2*a**2 - 5*a**2 + 2*a wrt a?\nAnswer: -96*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + 7*b**2 + 8*b + 3. Let x be d(8). Let m(w) = x - 3*w**3 + 0 + 6*w + 2*w**3 - 2 - 5*w**2. Calculate the least common multiple of m(-6) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -24, 1.2, 1\/11, 4\/125, -1.2, -3, -2\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 29*s + 179. What is g(-5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1163 + -1161. Solve -4*w + m*c - 8 = 0, -16*w - c = -17*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -24.6?  (a) -2  (b) -1  (c) -36  (d) 136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 532 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l + 79. Give u(-53).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 1  (b) 3  (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58493?\nAnswer: 29, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9303198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.17 - -0.17. What is the third biggest value in 0.4, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**4 - 174*l**3 - 2097*l**2 + 2634*l + 4560 = 0. What is l?\nAnswer: -40, -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34328555 + 34328516.0000075. Let g = z - -39. Round g to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/370 and -1\/2070.\nAnswer: 76590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 6:47 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2 - 11735196*o - 34428706289604.\nAnswer: -(o + 5867598)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fwyf when four letters picked without replacement from cfswawfy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 20385906 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22768 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 51\/5 of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 - 31*s - 179. Determine a(19).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -136810  (b) -6  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20842689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k - 11. Let o be v(-26). Let y = o - -105. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r = 2*r. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1851*i = g + 1846*i - 2, -4*i - 2 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(13) + -4 + (sqrt(13) + 2 + -5 - sqrt(13)))**2.\nAnswer: -18*sqrt(13) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/6 + 888\/18. Let w be (413\/b)\/((-26)\/(-108)). Let i = 244\/7 - w. What is the nearest to -2\/3 in i, 0, -1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60\/(-1290)*43*(-8)\/(-14)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2 = 2*b, 7 = -5*r + 5*b - 8. Suppose -3*q + 4*q + 1 = 0. What is the smallest common multiple of 1 and 16 + r + 3\/q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 - 22*v - 320. Give h(19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 70280437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 717 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 405*u - 409*u + 4*z = -24, 3*u - z = 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) - (sqrt(208) + 2) - sqrt(13)) + 6*(-2*sqrt(13) + sqrt(13) + sqrt(13)))*-2.\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 65019637955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 41*g**2. Let q(h) = -17*h**2. Calculate q(c(a)).\nAnswer: -28577*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 3:47 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from 1197.\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/((-3)\/57*-2). Suppose 0 = -3*u + 4*f - 6, -5*f = 2*u - 0*f - k. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31 - 33220?\nAnswer: -33145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1380900 and 96.\nAnswer: 11047200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19581219 and 16415?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 104 and 36868.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*h - 24*h = -134350. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-33)\/(-7) + (20\/(-14))\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 874, 865, 880, 913, 958?\n\"Answer: -o**3 + 18*o**2 - 56*o + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 27\/2 of a hour?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2 + 7*p + 0 - p**3 - 1 - 10*p.\nAnswer: -(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (279 + 15 + 39)*(0*w**2 + 0*w**2 + w**2)*(-w**2 - 3*w**2 + w**2) + 0*w - 3*w**4 + 0*w.\nAnswer: -1002*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 32 + -28. Solve h*z + 2 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5747 - 3970. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -0.812217.\nAnswer: 1.624434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1120\/13 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 6, -2\/33, -5 in decreasing order.\nAnswer: 6, 3, -2\/33, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 84 and 49717530.\nAnswer: 696045420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -63 - -66. Let h(i) = 5*i**3 + 4*i**2 - 4*i - 6. Let r(b) = -4*b**3 - 3*b**2 + 3*b + 6. Calculate n*h(w) + 4*r(w).\nAnswer: -w**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 494528 is divided by 313.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 10:40 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 296 + 750.9312\nAnswer: 1046.9312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*v + 30. What is the smallest common multiple of v and (64\/(-6))\/((-4176)\/4698)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - k + 451 = 3*c, 5*c + k - 749 = 0. Suppose 225*q = 110*q + 114*q + 25. What is the remainder when c is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20\/21289 + -2165431744\/191601. Let b = 150761\/18 + d. Let c = b + 2906. What is the common denominator of c and -17\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 0*w - w = 3, 2*b + 4*w = -12. Let x = 4 + b. Suppose -2*j = x*p - 4, 2*j - 6*j - 3*p = -13. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4758 in -0.2, -1, 1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 AM and 7:31 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12678 and 342306.\nAnswer: 342306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 44 - 15*l + 43*l + 93*l - 61. What is the tens digit of d(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/15413, -2\/9, -0.118, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -415*k + 304 = -369*k - 1035 - 501 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-27)\/2*(-22)\/33. Suppose x = -j + 32. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 101 - 30143151?\nAnswer: -30143050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -29*j**3 - 17*j**2 - 9*j - 13. Is r(-5) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(66)\/(sqrt(60)\/(sqrt(30)\/sqrt(3))) + sqrt(33)\/((sqrt(15) + sqrt(15)*2)\/sqrt(5)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 232*h + 3 - 327*h + 1 in the form z + j*h and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 305475 (base 8) in base 11?\nAnswer: 6a023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16111577 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15*(-2 - (-5)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01099053093 rounded to 5 dps?\nAnswer: -0.01099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 454389\/16 + -28403. Let j = -1525579\/48 + 31785. Find the common denominator of j and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108726719?\nAnswer: 108726719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-15\/4)\/(b\/(b*b**(2\/19))) assuming b is positive.\nAnswer: b**(-277\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10887840*k + 51 = -10887837*k - 5*o, 0 = -2*k + 3*o + 34 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -47*k**2 - 17*k - 67. Let o(x) = -2*x**2 - x + 2. Calculate -16*o(a) + z(a).\nAnswer: -15*a**2 - a - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 + 6*l**2 - 4*l - 2. Let a be x(5). Suppose 3*o + n - 2279 = a*n, -2*o + n + 1519 = 0. Suppose 6*b - o = -141. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 20, 429 = 56*p + 7*x + 6*x - 10*x + 2849 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 - 4*c + 34. Let s be ((-21)\/28)\/((-2)\/(-24)). Let k be v(s). Let d(n) = n + 5. Determine d(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - 1. Let w = r - 15\/2. Suppose -3*u + 2*o - o + 14 = 0, 4*u - 24 = 4*o. Put -3\/7, u, w in increasing order.\nAnswer: w, -3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*m**4 - 2*m**4 + 12 - 3*m**4 + (5*m - 2*m - 2*m)*(0*m**3 + 4*m**3 - 2*m**3) as i + y*m**2 + f*m**4 + r*m**3 + v*m and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 28959 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-5)*u)**(1\/53))**(5\/3) assuming u is positive.\nAnswer: u**(-5\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(272) + (sqrt(272) - (-1*(sqrt(272) - sqrt(272)*3) + sqrt(272))) - sqrt(272))*-4)**2.\nAnswer: 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2637.54 * 0.4\nAnswer: 1055.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*s - 4. Let k be 0 + 3\/(-27)*s. What is the closest to -1 in 3, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 3*a + 13 = 2, -4*x - a + 9 = 0. Determine w, given that 3\/2*w - 1\/2 + 2*w**x = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72 is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4029767477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*k + 728 = -19*k. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of 0*d**3 + 0 + 1\/4*d**4 + 9\/2*d**2 + 14*d. Differentiate q(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97464201 to the power of 1\/2, to the nearest integer?\nAnswer: 9872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a + -a6?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6842152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + -1 + -4 - (sqrt(13) + sqrt(104)\/sqrt(72)) - -6*(sqrt(13) - (-3*sqrt(13) + sqrt(13))*4))**2.\nAnswer: -1610*sqrt(13)\/3 + 337198\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28705?\nAnswer: 5, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 297582\/737 smaller than 403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4*f**3 - 5*f**2 - 5*f - 31. Let q(d) = 6*d**3 - 8*d**2 - 8*d - 47. What is -5*q(y) + 8*r(y)?\nAnswer: 2*y**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 AM and 6:15 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*o - 96 = 64. What is the remainder when o is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 9:24 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -12*m - 19. Let z be h(-2). Suppose 3*f - 198 = 2*i, -21*f + z*i + 53 = -20*f. Calculate the remainder when f is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**2 + 8*o**2 + o**2 - o**3.\nAnswer: -o**3 + 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x = 2*w - 4 - 3, 5*w - 241 = x - 220 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1042 at least as big as -1064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*a + 36*a + 100 = 0. What is the highest common divisor of a and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18799330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44861960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 204 = 12*q + 3*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/297*(-2694)\/(-8980).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) -13.65  (b) 0.1  (c) 2  (d) -3  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-20)*204\/153*3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 102 - 206?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 185*r**2 - 105*r + 2. Let n(l) = 39*l. What is n(x(g))?\nAnswer: 7215*g**2 - 4095*g + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 + 5*l**2 + 2*l - 2. Suppose 5*g - 18 = 3*c, 4*g - 5*c + 0*c - 17 = 0. Suppose 4 = -g*j + 19. Calculate the least common multiple of j and t(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, 0, 7, 16, 27?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 3*g - 12 - 1, -5*w - 2*g + 18 = 0. Suppose 16*i + w*i - 300 = 0. What is the remainder when 102 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 67784 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2400097 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of 2*p**7\/5 + p**4\/24 + 25*p**3\/6 + 158*p**2. What is the second derivative of u(f) wrt f?\nAnswer: 1008*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120911364 to the power of 1\/2, to the nearest integer?\nAnswer: 10996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**3 - r**3 + 8*r**3)*(27*r + 7*r - 11*r).\nAnswer: 207*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 300, 0.11, 1801.\nAnswer: 0.11, 300, 1801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 144028939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6\/9)\/((-1)\/(-3)). Suppose 2*z**t + z - 2*z - 2*z**4 - 8*z**5 + 9*z**5 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7920892.1213 minus -2?\nAnswer: -7920890.1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l + 5. Let c(s) = -4 - 2 - 1 + 5. Let a(d) = 3. Let o(r) = -3*a(r) - 4*c(r). Calculate -3*o(b) - y(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000040745 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-10) - 9\/45. Let s(u) = -u**2 - 3*u - 1. Let a be s(-2). Are m and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -5*b**3 - 7*b**2 + 3*b. Let j(u) = -2*u**3 - 4*u**2 + 2*u. Let s(i) = 9*j(i) - 4*w(i). Factor s(c).\nAnswer: 2*c*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2417 or -7252\/3?\nAnswer: -2417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05*-1.397.\nAnswer: -0.06985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1541 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1665414 + -1?\nAnswer: 1665413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 4*u. Let f = u - -11. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 13a6?\nAnswer: -13a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4 - 624*t**3 + 131016*t**2 - 9505664*t + 52450896.\nAnswer: (t - 206)**3*(t - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 - 133*q**2 + 698*q - 19. Determine d(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -1, 32, -4 in descending order.\nAnswer: 32, -2\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 4*p - 7*p + 4*q, -3*q + 15 = -3*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 20947864 divided by -7\nAnswer: -2992552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32 - -37. Solve -1 = -4*j - b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 130 and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2735979, -4, -2, 5 in decreasing order.\nAnswer: 2735979, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -86, -166, -252, -338, -418, -486, -536?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(72))**2 + sqrt(72) + (sqrt(20) - sqrt(20)*5)\/sqrt(10).\nAnswer: 2*sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9563670821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*g**2 + 16*g**2 - 58*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j + 19*j - j**2 - 7*j + (-2*j + 5*j - j)*(0 + 0 - 2*j).\nAnswer: -5*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a - 2*b - 11, a - 36 = -5*b - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2. Let z(q) be the second derivative of -1\/6*q**3 - 7\/2*q**2 + 0 + 4*q. Calculate -14*g(y) - 4*z(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.5 + 0.5. What is the second smallest value in -1\/8, s, -0.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of f**3\/6 + 3*f**2\/2 - 7*f - 19. Give s(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 0.3  (c) -1\/296  (d) -506\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/5)\/(3\/(-45)). Let d = n + 6. Suppose 12*w = 7*w + 90. Calculate the greatest common factor of d and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 42 - 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 179 by -1403.\nAnswer: -179\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 23042661.\nAnswer: 69127983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3 = 2*i. Let l be (-1)\/i - 2\/(-2). Suppose l = -5*f + f + 84. What is the highest common divisor of f and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-3 + sqrt(2057)*2)**2 - (sqrt(2057) - 2*sqrt(2057))*-2) + (-3 + 1*sqrt(2057) - (-1*(1*sqrt(2057) + sqrt(2057)) - sqrt(2057)))**2.\nAnswer: -418*sqrt(17) + 41161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19222 times 0.2?\nAnswer: 3844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5968 by -2984.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10222 and 6973?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1113 - -2035. Which is the closest to 0?  (a) -0.4  (b) d  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -251*v**2 + 302*v**2 - 195*v**2 as o*v + j*v**2 + y and give j.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**3)**14\/(o\/(o\/(o\/o**6*o)*o))**(-40))**(-30\/13) assuming o is positive.\nAnswer: o**(4740\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p**3 + 11*p**2 + 10*p - 7. Let f be y(-10). Let q be (f + 4)\/((-9)\/12). Suppose 120 - 8 = q*z. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q + 3*q + 0*q - 5. Let t(a) = a - 6. Let l(s) = -6*t(s) + 7*v(s). What is the remainder when 6 is divided by l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 11*r**2 + 4*r**2 - 8*r**2. Let v(d) = 2*d**2. Give a(v(u)).\nAnswer: 28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 14*n. Let i(l) = l**2 - 2*l + 1. Let j(o) = 2*o - 1. Let c(f) = -3*i(f) - 3*j(f). What is v(c(y))?\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 6*p - 22. Suppose 0 = 9*q - 2*q + 14. Let j(s) = -s + 2. Let v(l) = q*j(l) + t(l). What are the prime factors of v(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 269.76 + -2.76. Let d = -266.891 + m. Round d to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7564, -4, 35.\nAnswer: -7564, -4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 9*n**2 + n. Let m = 6 + -7. List the prime factors of y(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**3\/2 + 799*q**2\/2 + 79600*q - 80000 = 0 for q.\nAnswer: -400, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o. Let w(y) = -8009*y. Determine w(h(c)).\nAnswer: -8009*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 69345.8l?\nAnswer: 69345800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 4  (b) 21  (c) 6\/13  (d) -3  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 9:56 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/20 and -133\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 154068243 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 267161?\nAnswer: 267156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 15, -0.2 in descending order.\nAnswer: 15, 2, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48*d - 195*d**2 + 0*d**2 + 52*d**2 wrt d.\nAnswer: -286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6, -30, -58, -84, -102, -106, -90, -48?\n\"Answer: k**3 - 8*k**2 - 7*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 842024619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 67.9 - 58. Let m = q - 10. What is the second biggest value in m, 1, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91351358909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2275, -4, 216 in decreasing order.\nAnswer: 2275, 216, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than 1091\/14274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5379 is divided by 637?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 73498?\nAnswer: 220494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of -7*u**6\/30 - 5*u**3\/3 + 10*u + 8. Let f(x) be the first derivative of t(x). What is the second derivative of f(v) wrt v?\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2*m)*(-2*m**3 - 71113*m**2 + 71113*m**2 + 386*m).\nAnswer: 4*m**4 - 772*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2*d**2 + 4*d - 7. Let c be q(3). Suppose -52 = c*p - 27*p. Let i(r) = -r**3 + 33*r**2 - 12*r - 9. Is i(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -52053, -104129, -156207, -208287, -260369, -312453, -364539?\nAnswer: -416627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2. Let d(s) be the third derivative of 0*s**3 + 4*s + 0*s**4 + 0 + 1\/60*s**5 + s**2. Suppose -3*g - g = 12. Calculate g*d(w) + 5*j(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -28058 - 0.3?\nAnswer: -28058.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p - 8 = -4*o + 10*p, 3*p = -o - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8*m**3 + 9*m**2 + 150*m wrt m?\nAnswer: 48*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-3) - 22\/(-6). Suppose -a*m = -9*m + 25. Suppose 0 = p - m*p - 164. Round p to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 144 - -5?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjy when three letters picked without replacement from {j: 4, f: 5, y: 6}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (16\/10)\/((-10)\/50). Let u = l - -10. Factor -4\/7*p + 2\/7 + 2\/7*p**u.\nAnswer: 2*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1209 + w**3 - 6*w**3 - 1209 + 2*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(13) - (-4*sqrt(13) - sqrt(13)))*-4.\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 466\/4 + 4\/8. Let p be (19818\/(-81))\/(4\/6). Let v = p + 380. What is the greatest common factor of t and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/1 - (2 - -2). Let p(r) be the second derivative of -r**6\/720 + r**5\/40 - 73*r**4\/12 + 67*r. Let f(t) be the third derivative of p(t). Calculate f(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 33.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69472, -69474, -69476, -69478?\nAnswer: -69480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (40\/410)\/(2*-1). Let x = -4973\/246 - d. Find the common denominator of x and 75\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q = 4*q + 10. Let o be -2 + 8\/(-20) + 4\/10. Let i = q + o. Is -0.2 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 4*r, 2*f + 2*r - 9 = 5. Suppose -5*y + 4*a = -73, f*y - 5*a - 81 + 19 = 0. Solve 0 = 9*i - y*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**3 - 3*k**4 - 2*k**2 + 2*k - 4*k + 2*k + 4*k as h + x*k + a*k**3 + w*k**2 + b*k**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-40)\/(-6)*(-4 + 7). Let m = d + -12. Let h = -4 + m. Solve -4 - h = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = 93*q + 259, -219*w + 16 = -223*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*q = 0. Suppose t = -q*t - 3*m + 5, -5*m = 5*t + 15. Let z = t - -8. Sort 0.3, z, 5 in decreasing order.\nAnswer: 5, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(2058) - (-3*sqrt(2058)*2 - sqrt(2058))) + sqrt(2058) - sqrt(2058)))\/((sqrt(24)*1*-1)\/((2*sqrt(12))\/sqrt(3))).\nAnswer: 560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*j + 52*j = 15. Suppose -d = 5*z + 24, 2*d + j*z + 4 = -24. Which is the nearest to -1\/2?  (a) d  (b) -1\/3  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q**5 - 807*q**4 + 1542*q**3 + 15948*q**2 + 19224*q = 0. Calculate q.\nAnswer: -2, 0, 6, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 5*s - 780, -n = -0*n - 5*s - 168. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (163\/3)\/(28\/84). Let t = -94 + f. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -48, -58, -66, -72, -76, -78, -78?\n\"Answer: i**2 - 13*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -59473, -118937, -178351, -237691, -296933, -356053?\n\"Answer: 4*w**3 + w**2 - 59495*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-50)\/(-30))\/(10\/(-12))*(-22)\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 477189 and 159063?\nAnswer: 477189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.06  (b) -1\/27  (c) -3  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -255661789395\/86 - -2972776037. Let w = d - -35468. What is the common denominator of w and -63\/16?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4905798835 and 1.6334.\nAnswer: 4905798836.6334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -1\/8*n**4 + 1\/40*n**5 - 5\/12*n**3 + 0 + 1\/60*n**6 - 1\/2*n**2 - 10*n. Factor r(i).\nAnswer: (i - 2)*(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 884894 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 248.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*(6*sqrt(1216)*-4 + (1 + sqrt(1216) + -3 - sqrt(1216))))**2.\nAnswer: 27648*sqrt(19) + 25215120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 1 + (10 - -37) + -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18.3 + -20.3. Is s bigger than 0.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 77356 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2078451*r**2*w**3 + 320*r**2*w**2 + r**2 + 20*r*w**3 - 187*r*w**2 - 2*r*w wrt w.\nAnswer: 12470706*r**2 + 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 5*c**2 + 2*c + 1. Let t be n(-2). Let a be t*-1*3\/9. Let g = a - -5. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -174*h = -173*h + 2. Is ((-8)\/14)\/(h\/7) + 6707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - -1. Suppose -129*c - 8 = -63*c - 206. Is (-2 - c)*(618\/u)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 20*s. Let i(r) = r + 1. Let d(o) = -o - 6. Let z be d(-8). Let b(t) = 5 - 4 - 3 - 82*t + 79*t. Let f(p) = z*i(p) + b(p). Determine j(f(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbrvrhhrcvrscr. Give prob of sequence svr.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3915\/6300 - (-4)\/(-7))*17. Let o(s) be the second derivative of 0 + 0*s**3 + 15\/2*s**2 - 14*s - y*s**5 + 0*s**4. What is the derivative of o(m) wrt m?\nAnswer: -51*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (56\/(-3))\/(14\/(-21)). Suppose 4*p - z = 4*q, 4*p - 3 - 7 = -5*q. Suppose p*n = -3*c + 412, 2*c + 3*c - 180 = -2*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 9, -225, 3, -5, 1, 213 in decreasing order.\nAnswer: 213, 9, 3, 1, -3, -5, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -5 - 5. Let p = w - -6. Let g(i) = 5*i**3 + 2*i**2 - i + 3. Let h(n) = -n**3 - n**2. Let t(l) = g(l) + 6*h(l). Give t(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1490640 and -0.18?\nAnswer: 1490639.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 159516 divided by -18?\nAnswer: -8862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + z + (3 - 2 - 2)*(-3*z + z + 0*z) - 5*z + 3*z + 7*z - 14 + 5*z + 14.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/987992705 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of -25*j**2\/2 + 10*j - 3. Suppose -4*d - 12 = w, -4*w + 2*d = -d + 10. What is the units digit of h(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1625\/2 + 785. Calculate the common denominator of -109\/12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3303440141 (base 5) to base 11\nAnswer: 4005228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, k: 1, i: 1, y: 3, c: 4}. Give prob of picking 1 k, 1 c, and 1 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41442 or -41934?\nAnswer: -41442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {s: 1, q: 8, k: 4}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 0 - (-31 - -26)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 6 + 6\/(-2). Suppose -3*t + w*g = -15 + 3, -t - 2 = 2*g. Differentiate 0 + 2 - 8 + 0*k**t - k**2 wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dlb when three letters picked without replacement from {d: 2, l: 8, u: 2, t: 1, b: 1, i: 1}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (90\/(-12))\/(3*-1). Let k(u) = -u**2 + 6*u + 30. Let d be k(9). Which is greater: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.119 - 0.119. Which is the third biggest value?  (a) 1\/4  (b) y  (c) -8  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -51*r**2 + 3 - 4*r + 2 - 7. Let g be (-8)\/6*3\/2. Let m be l(g). Round m to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1694 is divided by 61.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjujjjjjukjkjkjjju. What is prob of sequence jkuu?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5520382 days in weeks?\nAnswer: 0.0788626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 3*j - 2 - 2*j + 1 - 1 - j + (5 - 1 - 2)*(4*j + 2*j - 5*j) - 10*j + 2*j + 0*j.\nAnswer: -6*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dddz when four letters picked without replacement from {d: 11, z: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 - 12*r - 14. Suppose z = -2*q - 21, -7*z = 4*q - 8*z + 39. Give y(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.319231119 rounded to 1 decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3511664794 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -1  (b) -2  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4.2746 and 2.\nAnswer: -2.2746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (0 + 6 + -4 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q + 105 = -5*k, -q + 2*k + 29 = 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*p - 2034 + 369. List the prime factors of p.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.255 + 1.855. Which is the closest to 135?  (a) 2\/9  (b) u  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(j - 4*j + j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the second derivative of 149999*c**3\/3 - 7*c**2 - 2*c. Let g be z(-7). What is g rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 131, 3 in ascending order.\nAnswer: -4, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18 in 0.2, -0.7, -1, 0.205, -2?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 400223892 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r + 10 = -10*r, 0 = -2*x - 2*x + 3*r + 23 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(20) + -1 - sqrt(20) - 2*sqrt(20)*5.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*p - 21*p**2 - 10*p - 17*p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 6*g**2 - g + 3. Let y be 10 - (-20)\/(4 - 9). Let f be o(y). Which is the closest to 1?  (a) -1\/7  (b) 0  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of 5\/18*i**5 - 1\/126*i**7 - 5\/18*i**3 + 0*i**2 + 0 - 7\/27*i**4 - 171*i - 2\/135*i**6. Suppose q(f) = 0. What is f?\nAnswer: -5, -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-203))\/(10\/(-5)*3\/(-3))\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 - 2*k**2 - 2 + 0 + 12*k + 49*k - 68*k to z*k + q*k**2 + n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -593936.7 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -3. Let a = -142\/21 + -955\/42. Calculate the common denominator of (-12)\/(-105) - p\/(-10) and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*-1*2)\/(1*sqrt(16)\/sqrt(2))*6.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -2*c**2 + 7*c - 243. Calculate u(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-36)\/(g*g*g*g**(1\/18)) assuming g is positive.\nAnswer: g**(-703\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1002210221210 (base 3) to base 8.\nAnswer: 2172074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1969930002 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1210?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6083 - 34*c + 6083 - 13*c + 64*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) -0.08  (c) -0.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -1 - 8. Let c = -1 - h. Let d = -71 - -74. Solve -2*f + 2 = -2*y + 10, -2*y + d*f + c = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-40)\/(-50))\/(2\/(-50)). Let r be (-5)\/l - 2\/8. Determine n, given that r + 0*n**2 + 2\/5*n**3 - 2\/5*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000009018870286 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -16*k + 87. Let o(l) = 2*l**3 - 8*l**2 + 2*l - 8. Let j be o(k). Solve -2*s + 6*i - 3*i - 5 = j, i - 4 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 123?\nAnswer: -36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/4*(-580)\/(-2610)*2\/(-7)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, b: 2, t: 1, v: 1, d: 1, o: 1}. What is prob of sequence aobv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 265*s**3 - 973*s wrt s.\nAnswer: 1590*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h + 0*h - h**2)*(-6 + 3 + 1)*(4150 - 2379 - 2626) + (-h - 4*h + 3*h)*(0*h - h + 2*h).\nAnswer: -1712*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-2)*(-11 + 11). Let a(t) be the third derivative of t**6\/120 + t**5\/20 - t**4\/4 - 5*t**3\/6 + 2*t**2. Let l be a(-4). Solve b*h = l*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and -624.7531.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -p + 2*a, 2*p - 40 = 2*a - 54 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-5 - (-2 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k - 5. Let g be m(-4). Suppose -44*r = -33*r - 55. Suppose g*s - d = 85, -3*s = -s + r*d - 85. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23669*c + 23672*c = 5*b - 3, 11*b - c - 29 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -6*a + 15. Let z(y) = y. Let u(p) = -2*g(p) - 14*z(p). What is the lowest common multiple of 50 and u(-16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z + 1. Let f(o) = 10 - 2*o - 12*o + 3*o. Let c = -257 - -255. Let g(p) = c*f(p) + 18*q(p). What is g(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r**2 - 3*r. Let h be o(1). Let c(y) be the second derivative of 2*y**3\/3 + 2*y**2 - 2*y. Let f(k) = -3*k - 3. Give h*c(a) - 6*f(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1367*s*u**5 + s*u*x - 35*s*x + 21191*u**5*x + 137545*u - 1 wrt u.\nAnswer: 27340*s*u**3 + 423820*u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -2 - (-4 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -12.3. Suppose 4 = -z + 2. Let j be (-3)\/2*z\/(-7). Which is the second smallest value?  (a) 0  (b) j  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -576*f - 10312 - 15032. Suppose -4*j - 3 = -15, -2*o = 3*j + 81. Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 700145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -5*o + 6, 1 = 33*o - 31*o - a. Let k(z) = -4*z**2 + z - 1. Let i be k(2). Put i, 0, o in increasing order.\nAnswer: i, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.7 and 201241.\nAnswer: -140868.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 107 - 108. Let x = -80 - -238\/3. What is the second smallest value in x, -2, 0.16, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 + 0)*(221 + 218 - 619)*(-4 + 2*i + 4 + (2 + 3 - 4)*(2*i + 2*i - 3*i) + 0*i - i - i) to the form g*i + r and give g.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -3.93. Let b = -0.47 + u. Put 0.3, -2, b in decreasing order.\nAnswer: 0.3, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-6 + 4 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6*(-1)\/30*(1 - 1). Which is smaller: k or -1867?\nAnswer: -1867","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, 2.8, 4, 8, 7\/4, 2, 0.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, c: 2, l: 6, u: 1, b: 3}. What is prob of picking 1 c and 2 p?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 AM and 9:14 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 + 3*r + 2. Let l be i(3). Let f = l - -1. Suppose 0 = f*u - 17 - 25. What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 533 - 203. What is the lowest common multiple of b and 77?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2037 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: b\"What is the th term of 211326, 211360, 211414, 211488, 211582, 211696?\n\"Answer: 10*b**2 + 4*b + 211312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1386 - -1389. Solve 2*f = 5*w - 35, 34 = 4*w - o*f - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*u - 2*a - 33, u = -4*a - 4. Let k = 7 + u. Calculate the greatest common divisor of 10 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/((55\/15)\/(2\/9))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1254 and 13747184?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -815\/116892 + 1\/2292. Let k = -239\/153 - c. Let a = 157\/1860 + 51\/620. Sort k, a, 1\/5 in increasing order.\nAnswer: k, a, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 12 = 3*q, -5*m = -m + q - 26. Suppose n + 4 = m. Suppose 5*r - 2*u = 178, -2*r - u + 52 = -21. What is the least common multiple of n and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -511 divided by -3\nAnswer: 511\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 245149263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2638145.\nAnswer: 5, 17, 41, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/(-12 - -2) - (-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 + f + 23. Let u(v) = v + 35. Let g(w) = 3*k(w) - 2*u(w). Suppose 0 = -4*r + 13 + 3. Suppose h + r = 3*h. Determine g(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + l + 3*f = 22, -4 = 4*f. Solve -15 = l*z + c + 2, 11 = -2*z + c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -161*z**4 + 266?\nAnswer: -644*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*b + 2 = -69*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*1*(-1)\/17. Let k = -8 - -5. Let j = -6 - k. Put j, q, -2\/7 in ascending order.\nAnswer: j, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3715199ml in litres?\nAnswer: 0.0003715199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.6 + -5. Let w be (-2)\/(-4) - ((-968)\/(-16))\/(-11). Which is bigger: f or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 8*s**6 + 6*s**4 - 6*s**3 + 5*s**2. Let j(h) = -h**6 - h**4 + h**3 + h**2. Let v(y) = -d(y) - 6*j(y). Find the third derivative of v(g) wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(78) - -1*sqrt(78)) + sqrt(78) + sqrt(78) + sqrt(78) + -2*sqrt(78)*-1 + sqrt(78))\/(-3*-4*-1*sqrt(6)) + 3)*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -11) + (-78 - -50) + 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -325?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate b**2*c*q**2 + 2*b**2*q**2 + 99928*b**2*q + 73786*b*c*q**2 - 4*q with respect to c.\nAnswer: b**2*q**2 + 73786*b*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/38613190 and -139\/49645530?\nAnswer: 347518710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q - 1. Let g be z(-1). Let d = g - 1. Suppose -x + 2 + 2 = d. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nvavrrznrr. Give prob of sequence av.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/25688 and 19\/418236.\nAnswer: 206608584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 73*g + 81. What are the prime factors of c(6)?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 459 and 4509?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/2 - 4198*j - 8811602.\nAnswer: -(j + 4198)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.312 times 2?\nAnswer: 0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = 65 - 70 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 2*r - 495 = -3*j, -297 = -3*j - 3*r. Suppose 3*p + 1164 = 9*p. Let k = p - j. Calculate the remainder when k is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.6 - 0. Let i = y + -1.8. Which is the third biggest value?  (a) 5  (b) -3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -91.4 - -120. Let q = -3.4 - a. Let r = q - -32.0013. Round r to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -3*u**5 + u**4 + 20*u**3 - 32*u - 16 = 0.\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -7*z**3 + 4*z + 182 - 182. Let x(a) = -21*a**3 + 13*a. Give -7*b(o) + 2*x(o).\nAnswer: 7*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 - 9196*v + 26 + 9206*v + 11.\nAnswer: 10*v + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -3*t + 4*x + 2 - 4, 3*t + 0*t - 21*x + 51 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 6*r. Suppose -19*c = 3 - 3. Let m(d) be the second derivative of 4*d + 0*d**2 - 1\/6*d**4 + 0 + c*d**3. Calculate g(m(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2149057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -52656.82 * -0.3.\nAnswer: 15797.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -25\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98) - (sqrt(98) + -1)*-2 - ((0 + 0 + sqrt(98))**2 + sqrt(98)))*2.\nAnswer: -200 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 - -15. Let b = 182.1 - 181.1. What is the closest to -1 in b, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-63)\/2*8\/(-6). What is the highest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-1\/10)\/(x*x*x**(1\/2))*x**(4\/7)\/(x*x*x**(-11)) assuming x is positive.\nAnswer: x**(244\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -y**4\/4 - 8*y**3\/3 + 5. Find the third derivative of z(w) wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/33, -20, 5\/4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 13. Put w, -1, -2 in ascending order.\nAnswer: w, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 10082, 10278, 10606, 11066, 11658, 12382?\n\"Answer: 66*y**2 - 2*y + 10018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v - 3. Let n be r(0). Suppose 2*d - 5*q = -d + 28, -4*d = 3*q - 47. Calculate the remainder when d is divided by 5\/((-15)\/(-18)) + n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/2?  (a) -3\/5  (b) -2\/7  (c) 30  (d) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 3, 15, 5, -4, -960.\nAnswer: -960, -5, -4, -1, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -391 take away 35985714.8?\nAnswer: -35986105.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-1) - ((-6023899)\/223)\/227.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -7*d. Let t(l) be the second derivative of -3*l**4\/2 - 40*l - 2. What is u(t(h))?\nAnswer: 126*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401962813?\nAnswer: 7, 149, 385391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (16\/(-10))\/((-5)\/50). Suppose -26 = -4*y + 34. Suppose -2*x + 5*z = -1, -5*z + y = 2*x - q. Solve -a + x = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t**2 - 31*t + 399. Is 49 a factor of r(54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 22880016?\nAnswer: -22880012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 44\/5 or 10?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a microgram in nanograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -431 - -374. Let j = 56.27 + o. Sort 4\/3, -5, j, -2\/13 in decreasing order.\nAnswer: 4\/3, -2\/13, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 211*n - 484. Let o be i(4). Solve 0 = o*r - 363*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26.13*0.1\nAnswer: -2.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 6*q**2 - 6*q + 2. Let h(n) = -5*n**2 + 6*n - 3. Let z(f) = 5*h(f) + 4*s(f). Let r be z(2). Let m = -10.2 + 10. What is the closest to -4 in -5, m, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -10*y**2 + 250*y + 2233. Give f(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = g - s, 2*g + 25 - 11 = -4*s. Which is bigger: 18 or g?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/5  (b) 50  (c) 1  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 28\/12 + 1\/(-3). Suppose 2*g = 3*r + g - 76, -55 = -v*r + 5*g. Let f = -77 - -82. Solve 0 = 2*y + 3*n - 2, -r + 7 = 4*y - f*n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95952293?\nAnswer: 95952293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208*a + 161*a - 792 = 325*a. Solve -5*c - c = -a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2541450 (base 7) to base 6\nAnswer: 11021303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l**3 - 180*l**2 + 381*l + 558 = 0.\nAnswer: -62, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 67893741 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1 + (-1*sqrt(243) - sqrt(243))**2 + 4.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13*(-10)\/325*5*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14104844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 59 and 1888.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*s - 2*s - s)*(-1010 + 1010 - 46*s**2) in the form n*s**2 + g + l*s + p*s**3 and give p.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 60750829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 168499.35 nanoseconds?\nAnswer: 0.000000046805375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9\/4870 + 346067\/160710. Find the common denominator of -3\/44 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -179*b**3 - 215*b**2 wrt b?\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of -j**8\/1344 - j**7\/1260 + j**6\/360 - j**5\/60 - 5*j**4\/24 + 6*j**2. Let g(m) be the second derivative of b(m). Is g(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.18 less than 0?\nAnswer: 5.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1563*h - 770*h**3 - 519*h + 1419 - 524*h - 520*h wrt h.\nAnswer: -2310*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -3*w + 59. Let u be i(18). Suppose h + h - 4 = -2*x, 4*h = -u*x + 9. Let v be 0\/(1*(x + 1)). Solve v = k + 4*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - p + 16. Let v be 34\/119 + 164\/14. Suppose -v = 4*k + o, -k + 2*o = -2 + 5. What is the second smallest value in k, 0, p, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m be 213\/(-6)*2*-1. Let s be m\/(-5) - (-11)\/55. Let i = 30 + s. Solve 0*j + i = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282239 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -214 + 152. Let b = s + 56. Is (2463\/b)\/(2 - 25\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 1254*j - 11. Let y(d) = -250*d + 2. Calculate 2*u(w) + 11*y(w).\nAnswer: -242*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hmxxxxhxxaxa. What is prob of picking 1 x, 1 h, and 1 a?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -204*i - 3. Does 38 divide w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 y when three letters picked without replacement from {l: 1, y: 3, q: 1, u: 6, e: 6}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/1100 and -97\/396?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1814542.\nAnswer: 2, 331, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121201 (base 3) to base 15.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 1:42 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -3 - 8*s + 0 - s**2 - 2. Let n = -177 + 170. List the prime factors of a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4 + 1.6. What is the closest to c in -1, 0, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4157\/7 + -595. What is the common denominator of v and -133\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.18 in -1, -424, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 3\/20*63\/(1386\/(-88))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 6:36 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppppppppzpppp. What is prob of sequence pzp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 400240.8 litres?\nAnswer: 400240800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 1 + (-20 - (-13 - 0)) + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 PM and 12:17 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 1.1. Let k = 10.1 - b. Round k to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55 and 353705?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -4*v - 2*d, 5*v = 3*d + 32. Is 12 a factor of (-2)\/v - 124\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 117 and 8595.\nAnswer: 111735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -102*a**2 - 1002*a + 184. Let u be n(-10). Suppose 4 = 4*c - 2*c. Let f = 2 + c. Solve 10 = u*b - f*q - q, 10 = 2*b - 5*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 293738 is divided by 94.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j + 11. Let s be v(13). Let l be (-1)\/(3*(-4)\/(-12)). Which is the nearest to l?  (a) 1\/4  (b) s  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162441 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 704 + -704.0015775. What is h rounded to five dps?\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004620562 rounded to seven decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 199068011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 272 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*-525388.19.\nAnswer: 3152329.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, o: 1, v: 2, u: 1}. Give prob of sequence udvv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + 0\/3 - -1. Suppose -g*b - 3*z + 35 = 0, 4*b + z + z - 26 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*2*sqrt(66))\/(sqrt(54) + sqrt(540)\/(sqrt(10)*-2)).\nAnswer: -8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**(2\/19))\/w)**(4\/23))**35\/(((w**(-6)*w)\/(w*w**7*w))\/(w**(2\/19)\/(((w\/((w\/(w**3*w))\/w))\/w)\/w))) assuming w is positive.\nAnswer: w**(4573\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 524*m - 462. Let a(x) = x + 4. Let h(b) = 3*a(b) - d(b). What is the first derivative of h(g) wrt g?\nAnswer: -521","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2 + 4 + 10*x - 3. Let r(q) = -7*q - 2. Let z = 90 - 86. Suppose v - z*p - 11 = -6*p, 5*v - 39 = -2*p. Calculate v*r(d) + 5*u(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 129522 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 94 - 91. Calculate the remainder when 22*1\/((-6)\/(-3)) is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/2 of a microgram in nanograms?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 not equal to 48774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, -161, 215?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -87*t**3 - 7*t**2 - 15. Is n(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.1  (b) 1\/2  (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7265634*c**4 - 24*c**3 + 2*c**2 - 2895*c + 3076 wrt c.\nAnswer: -174375216*c - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79940 = 4*r + v, -r + 5*v + 16139 = -3846. What is the highest common factor of r and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by -10405?\nAnswer: 2\/2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -55140 and 13117?\nAnswer: -723271380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -915537, -915548, -915559, -915570, -915581?\nAnswer: -915592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 d, and 1 o when three letters picked without replacement from mumudbbobuubugg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3545.00007365 + 3545. Round q to six decimal places.\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*6599*(14 + -13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + 1. Let c be f(-2). Suppose -r = 3*m - 32 + 4, r - 5*m = -12. Let v(k) = k + 11*k + 0*k - r*k - 1. What is v(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.4 + -0.6. Let g = -5 - z. Let x = -3.999936 - g. What is x rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18346598 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1311\/7 - -187. Let j(t) = -2*t - 21. Let h be j(-9). Which is the closest to n?  (a) 0  (b) h  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/27  (b) -0.1  (c) -1356  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2))**(10\/17)*((g*g**(2\/5)*g*g)\/g*g)**36)**(-1\/3) assuming g is positive.\nAnswer: g**(-10304\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 181115 >= 181149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -304*n + 13. Let u(c) = -8*c - 80. Calculate the remainder when o(-1) is divided by u(-18).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -2681\/5, -0.3, -3\/7 in descending order.\nAnswer: -0.3, -3\/7, -11, -2681\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q + q + 0*q + (-q + 5*q - 3*q)*(0 + 0 - 2).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -74854*h**4 + 67*h - 93 wrt h?\nAnswer: -898248*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (4 - 1) + 4 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/71?  (a) 505  (b) -0.08  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 8*u**2 + 9*u - 6. Calculate the smallest common multiple of ((-352)\/(-112))\/((-1)\/(-7)) and q(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -569 = -5*n - 3*b, -3*n - b + 41 = -298. Calculate the highest common divisor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -6136?\nAnswer: -6134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -335670 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*t + 9*t + 3076 - 3092 to u*t + g and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -95*c - 6362. Let w be n(-67). Suppose 0 = 4*f + 5*g + 5 + 2, -3*g - 7 = f. Find v, given that w*v + 5*v - 5 + 17*v - 20*v**f = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2740, -2753, -2766, -2779, -2792, -2805?\nAnswer: -2818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5 - (-126)\/12)*(-1 + -11). Suppose -795 = 13*b + 89. Do b and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -5 + 31*n + 2 + 11 - n**2 + 16. List the prime factors of p(14).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1633651 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cccz when four letters picked without replacement from {c: 5, z: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at least as big as 57670\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2380 or -1031?\nAnswer: -2380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c988 - -72?\nAnswer: -c916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -781 - -832. Suppose 1557 + c = 8*v. Calculate the greatest common divisor of 67 and v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/452 and -42\/5.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 571 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 14.216 * 12.62\nAnswer: 179.40592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 162830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 18 = 5*y, y - 10 = 6*y + 5*i. Let d = -5518 - -5523. Let p be (-8)\/(-27)*(-3)\/(-4). Which is the smallest value?  (a) d  (b) y  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l**3 - 3214*l + 1610*l + 0*l**3 + 8*l**3 + 1604*l.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 - 36 - -17 - (14 - (1 - -2)) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-66)*48\/(-16).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -109.369 plus 212782?\nAnswer: 212672.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5.2 + 9.91. Let i = 1.69 + b. Let j = 16.7999911 - i. What is j rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**2 - h**3 + h**2 + (0*h - 2*h**3 + 0*h)*(2 - 5 + 1) + 1 + 2*h**3 - 1 - h**3 + 0 + 0 + 23*h**3 - 58*h**3 + 5*h**3)*(0 + 2 - 1).\nAnswer: -26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) - 2*sqrt(99)*-2))\/(2*1*sqrt(11) + sqrt(11)))\/(sqrt(3) + sqrt(162)\/sqrt(6) - sqrt(27)\/(sqrt(27)\/sqrt(3))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**3 + 4 - 4 - 1194006*q.\nAnswer: -q**3 - 1194006*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 59804588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.14 * -0.10619.\nAnswer: 0.0148666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1*81)\/(136\/(-16) + 10). Suppose o*d - 47*d = 42. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*u - r - 20, -20 = -3*r - r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25.00072 + 25. Round s to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -5*t + 113, -i = -5*i - 4. Let n be t\/4 + (-4)\/(-16) + -1. Solve -3*r = 2*r - n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7340634 is divided by 1316.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.17  (b) -1.65  (c) 1  (d) -5  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3936294785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 147.389 - 149. Let g = q - -0.611. Which is the closest to 2?  (a) -2  (b) 2\/15  (c) g  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -9 + 1170\/99 - 3. What is the second biggest value in -4\/3, j, -5\/2, -4.7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1598 + 1682. What is the greatest common divisor of g and 1869?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, -4, 5, 479, 0.14, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27882 and 61002?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*w**2 - 220*w + 100 = 0. What is w?\nAnswer: 10\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5829325 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 37.6 * -0.4.\nAnswer: -15.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (9666\/(-3759))\/(3\/(-14))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 58474, 233896, 526268, 935590?\n\"Answer: 58475*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 458721 and 1296.\nAnswer: 66055824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -17762, -35466, -53170?\n\"Answer: -17704*n - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 4) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1)*((w**(-5)*w)\/w)\/w)\/(w**(1\/2)\/(w*w**(-2\/3)*w))*((w*w*w*w\/w**(3\/8))\/(w\/w**(-2\/17)))**(2\/37) assuming w is positive.\nAnswer: w**(-45523\/7548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (208\/(-3276))\/((-132)\/231).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 656 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 1. Suppose 5*o - 4*j - 1 = t, o - 2*j - j = -2. Let b(n) = -n. Let i(h) = h. Let a(c) = o*i(c) + 2*b(c). Let v(u) = -u**2. Give v(a(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 31437?\nAnswer: 31444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.02 + 0.38. Let l = 39427 + -39432. Let r = 0.3 + -0.5. What is the nearest to r in l, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2529906785, -2529906784, -2529906783, -2529906782, -2529906781, -2529906780?\nAnswer: -2529906779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -218*z + 78442082*z**2 - 78442065*z**2 + 218*z.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157 = 3*n - 5*a, 3*n + 3*a = 5*n - 106. Suppose 2*y = -t + 35, -5*y + 5*t + n = -2*y. What is the greatest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + (-2)\/(-18))*(-40 - (-13 - 360)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 328, 648, 992, 1372, 1800, 2288, 2848?\nAnswer: 3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 429, 892, 1355?\n\"Answer: 463*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 101, -9, -1, 5, -0.5, 0.24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -7, 2, -111?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5297504*s - 5297504*s + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -52\/41 and -0.029 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10473716048 and 53.\nAnswer: -10473715995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -64*x**3 + 52064*x**2 - 592388*x + 1697032 = 0. Calculate x.\nAnswer: 23\/4, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-5)*n\/n**7)\/(n\/(((n\/n**(-2\/9))\/n)\/n)*n)**(-5\/4))**17 assuming n is positive.\nAnswer: n**(-4607\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -48 - -47. Let g be q\/2*1*(-7 + -21). Suppose g*o = 16*o - 264. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1363473.\nAnswer: 3, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1855958*f**5 + 8*f - 2474 wrt f?\nAnswer: 37119160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dudddududduuuuuu. What is prob of sequence ud?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -22*n. Let o(h) = -h. Let m(l) = -l. Let d be ((-14)\/(-28))\/(13\/12 - 1). Let y(f) = d*m(f) - 5*o(f). Give y(t(g)).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/742 and 44\/1533.\nAnswer: 162498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1576 + -1628 - (0 + -1 - -2 - (-1 + 11))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35 - 53 - (4 + -4 + -7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 + -6. Let d(a) = -a**2 - 24*a - 89. Let r be d(-5). Suppose -r*p + b = 46. Let j(i) = -i**3 - 8*i**2 - 5*i + 7. Give j(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/120*-12 + (0 - 0). Let z = 313\/9 + -35. What is the nearest to s in 0.1, -3, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26*d*f*r**2 + 2*d*r**2 - 98*d*r - 23*f**2 - 2*f*r**2 + 2*r wrt f?\nAnswer: -26*d*r**2 - 46*f - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -7. What is the closest to 0 in 3, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 19*k - 14. Give w(-12).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -123 in -4, -7, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5652 + -5652.5. Let w = 3 + 0. Let p = w - 5. Which is the smallest value?  (a) p  (b) 2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + z + 4*z + 57, 5*y + 4*z = 132. Let l = -457734 - -457738. Solve l*o - y = -4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s. Let t(d) = -268*d**2 - 29*d + 2. What is j(t(k))?\nAnswer: 268*k**2 + 29*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 - (38\/(-4))\/((-4)\/(-8)). Suppose -8367 = -f*i + 12*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -74*d**2*x - 6*d*x**3 - 3*x**3 - 398 with respect to d.\nAnswer: -148*d*x - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4608, -5496, -6384, -7272, -8160?\n\"Answer: -888*v - 3720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1874050 by -10.\nAnswer: -187405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 - 2*y**2 - 4*y - 2. Let k be o(-2). Let x = k + -18. Let f = x + 26. What is the greatest common divisor of f and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*g - 5*g + 4*g)*(648*g**2 + 29*g + 650*g**2 - 1312*g**2) to the form n*g**3 + d*g + f*g**2 + y and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10 - -3060708?\nAnswer: 3060718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -2*u + 119. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -14. Let h(c) = c**2. Let l(d) = -4*d**2 + 8*d - 5. Let t(q) = 3*h(q) + l(q). Is t(p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88375193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 1 + (-1 + -2 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.26 and -159?\nAnswer: 41.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the second derivative of -g**4\/12 + 16*g**2 + 16*g. Let d(t) be the first derivative of w(t). Determine d(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/5, 6, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 + 6*t - 11. Determine f(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 10:23 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6 - 0*(-2)\/(-4). Let p(u) = -2*u**2 - 72*u - 70. Let g be p(-35). Let b be -1 - g - 12\/(-3) - 1. Calculate the highest common divisor of b and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 5*n - 44 = 0, n - 5 = 4*a - 73. Is a\/24 - (-3 + (-19470)\/9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.09 + -144.09. Let c = r + 141.9. Put c, -0.2, 1, -0.4 in ascending order.\nAnswer: -0.4, -0.2, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 880199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(4455)*-1 + sqrt(4455))*-1 + (sqrt(4455) - (sqrt(4455) + sqrt(4455)*2))*-1)\/(4*sqrt(1584)*-1 + (sqrt(1584)*-1*4 - sqrt(1584))))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -151007, -302014, -453021?\n\"Answer: -151007*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + 502*t + 9180. Determine z(-19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 28450.289 to the nearest 1000.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 12 + 3 = i, 5*y = i + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 445\/356*4\/(2 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (27*1 + 19829\/(-753))\/(1\/(-69))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13512 + 19644. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 5 + 27 = -4*q, 2*k - 3*q = 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 192 and 1968?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -687946\nAnswer: -2\/343973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (-3)\/(8\/48 + 0).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.591 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 85*f**4 + 14*f**4 - 8*f**4 + 4*f**4 + 11*f**3 - 11*f**3 + (-f**4 + 2*f**4 + f**4)*(-3 - 1 + 3).\nAnswer: 93*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 + 27. Let q(r) = r + 0*r + 4*r - f*r. Let x(u) = 10*u + 2. What is q(x(y))?\nAnswer: 20*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4467117 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 14623.\nAnswer: 43869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2887609090 rounded to the nearest 100000?\nAnswer: -2887600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 5:47 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1436904 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 0*x - x - 32, 5*a - 57 = -2*x. Suppose a = 4*d + 3*h, 3*d + 13 = 3*h - 5. Is (d\/3 - 0)\/((-4)\/8436) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**3 - 6*h**2 + 11*h - 2. What is the hundreds digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83376?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3380936 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2186*a = -383*a - 191118 for a.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 - -53) + -25 - (-7 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**3 - 2*h**2 - 6 - 12*h - 2*h**2 + 4*h**2 - 6*h**2 + 4*h. Calculate l(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 3*z**2\/4 + 43259190*z + 623785839818700 = 0?\nAnswer: -28839460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of 0*x**5 + 0 + 1\/105*x**7 + 3*x + 0*x**3 - 2*x**2 + 0*x**4 - 2\/15*x**6. Solve c(l) = 0 for l.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3*i + 4, 7*i + 2*g = 2*i + 8. Suppose s - 3*f + 20 = i, -3*f = 2*s + 2 - 7. Which is smaller: -4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 24 - 2 + 8 - 225*p - 30 as i*p + z and give i.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -5*z - 18, -3 = 5*p - 3*z - 27. Suppose 30 = 3*f - p*n, 3*f = 4*n + 27 - 1. Solve f = -4*j - 3*v - 0*v, 2*j + v + 8 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -4 + 0 + (18 - 16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m - 6*m**2 + 29 - m**4 + 12*m**2 - 7*m**2 in the form o*m + x*m**3 + j + u*m**4 + a*m**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -41*x + 36*x - 4*l, 0 = -3*x + 5*l + 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + (-4 + 2 - -4). Suppose 4*w = -3*u - v, 5*u + 3*w = 2*w + 4. What is the least common multiple of 2912\/(-819)*9\/(-2) and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d**2 + 33*d - 19. Let j be u(14). Suppose -48*p - 51 = -j*p. Calculate the remainder when 233 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (22*m - 9 + 11 + 2)*(-3*m + m - 2*m + (m - 2*m + 2*m)*(-2 + 4 + 0)) to b*m + k*m**2 + o and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 55810 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 629*x - 250 + 129*x + 250 + 4*x - x - 2*x + (-2*x + 5*x - 2*x)*(-5 + 4 + 2) - 1 + x + 1 to the form o*x + r and give o.\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = r - 0*r, 2*n = 3*r + 16. Solve 5*s + n = 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 31*o**2 - 31*o - 27. Let z be i(-30). Which is the smallest value?  (a) -2\/19  (b) -2  (c) -0.5  (d) z  (e) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/(-10))\/(65\/(-52)*14\/(-175)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -60842 (base 10) to base 13\nAnswer: -21902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*g - 4*g + 4, 0 = -3*p - g + 395. Suppose 313*i - 20 = -310*i + 619*i. Suppose 681 = i*c - 2*k, 0*c - c + p = k. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h - 1. Let o(y) = -3*y**2 + 5*y - 5. Determine -3*o(w) + 15*x(w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a + 26 = v, 9*v - 167 = -10*v + 3*a + 51 + 42 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -117768 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - 4 - -2) + -5. What is the remainder when (-2)\/4 + 295\/10 is divided by (32\/u)\/(4\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**3 - 6*y**3 + 0*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -148*d + 620 + 1156 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 30\/(-8) + 8\/(-32). Let k(b) = -2 + b + 18 - 8 - 6. Determine k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.2 - -1.83. Let y = m - 0.285. What is y rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/980)\/(((-11360)\/(-200))\/142)\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 + 28\/(-8))*8. Let u(c) = c**2 + 6*c + 1. Give u(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9315211 divided by -67.\nAnswer: -139033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 122 = -2*z, -5*z = -3*t - 40 + 207. Suppose f = 2, t - 13 = q - 2*f. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1530, -1527, -1524, -1521, -1518, -1515?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) 2\/13  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t**2 + 55*t - 346. Let f be r(14). What is the greatest common divisor of 484 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13763270 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 319\/3 + (-4)\/12. Let d = o - 55. Let g(h) = 20*h + 23*h - d*h. Let f(r) = r**2. Calculate g(f(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6218240 is divided by 1554557.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-5)*(-5)\/(-9)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 2  (b) -1  (c) -2\/7  (d) 1\/187  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(4\/7))**(-5\/6)*(j**(-5\/4)*j)**21 assuming j is positive.\nAnswer: j**(-481\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 3*i = -3, -5*o - 4*i - 2 = 3. What is the tens digit of ((-92)\/(-12))\/(1\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.98, 8, -2\/9?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**18\/c**(1\/7))\/((c**(1\/4)\/c)\/(c\/(c**(-15)*c))) assuming c is positive.\nAnswer: c**(941\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**3 + 3*z + 3*z - 12*z**2 + 6*z. Let b = -2453 + 2458. Let p(a) = -a**3 - 5*a**2 + 5*a. What is b*d(r) - 12*p(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 275609175 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) -2  (c) -3  (d) 1883  (e) -1  (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*u + 4 = 4*w, 208*w = -3*u + 204*w + 27 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 676849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 - (-23 + 26) - 29?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (8 + 132\/(-12))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i + 3. Calculate x(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143935 = -288*p + 293*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of r**6 + 9697597*r**3 + 21*r**2 - 4272*r + 4.\nAnswer: 120*r**3 + 58185582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 144004343?\nAnswer: 144004335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25641 = -9*b - 12*b. Suppose 16*g - 779 - b = 0. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**3 - 32*z**2 - 2*z + 38. What is u(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2157737266 to the nearest integer?\nAnswer: 46451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(10)\/sqrt(2) + -1.\nAnswer: -4*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -54*h**3 - 4*h - 4. Let p be z(-2). Let a be p\/6 + -2 - 32\/48. Calculate the highest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -43*k + k. Let s = -7 - -12. Let c(d) = 16*d + 79. Let r be c(-5). Sort s, -0.5, k, r in increasing order.\nAnswer: r, -0.5, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*g - 0*w - 4*w + 24, -4*g + 18 = 3*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 24*l**3 - 2*l**2 - l - 3. Let i be q(3). Suppose 584*o = -2297 + 32013 + 652. What is the greatest common divisor of o and i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 1211, -2, 8 in descending order.\nAnswer: 1211, 15, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/198 and 79\/99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 279, 278, 279, 282, 287, 294?\n\"Answer: n**2 - 4*n + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 + -1003707855.6?\nAnswer: -1003707855.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Do -4\/111 and -2\/27 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-81)\/(-27))\/((-20)\/(-5180)*-21)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*l**3*m**2 + 86775051*l**3*m - 349*l**3 - 32*l**2 + 180 with respect to m.\nAnswer: -4*l**3*m + 86775051*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - l - 2 = 0, 5*x - 2*l = x + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 10*x - 3. Let k be r(10). Let v = 33 + k. Let g = v - 26. Solve g*q - 5 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 23*c + 0*c + 28 - 3*c**3 + c**3 - 43*c**2 + 0*c**3. Let s be i(-22). Solve 10*v = s*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24\/7*a**2 + 3\/7*a**5 - 3*a**4 + 48*a - 96\/7*a**3 + 240\/7 = 0.\nAnswer: -2, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 73036 divided by 182\nAnswer: 36518\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.7 - 3093674651.439?\nAnswer: -3093674656.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (6 - (3 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1109 - 651. Let c(l) = 6*l**2 + s*l - 458*l. Let o(h) = h - 2 + 2. Give o(c(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 89\/(-1869)*1\/2*4. Let x = -1\/4 - -3\/2. Which is the closest to -1?  (a) -5  (b) i  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 61\/153 - 3\/17. Let w = -0.1686 - 0.0314. What is the closest to t in w, -1, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*d - 54. Suppose 2*l - d + 5 = 0. Suppose -19 = -l*w + 157. What is the remainder when w is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 3*j + 170. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1862 + 3254. What is the greatest common factor of 48 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 4*s - 4 = 0, -5*q - 9*s - 11 = -8*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 696470 (base 12) to base 4\nAnswer: 12130300110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 6. Suppose -8 = -y*u + u. What is the units digit of u + -2 + -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2039724, 4079434, 6119130, 8158806, 10198456, 12238074, 14277654?\nAnswer: 16317190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/18111845 and 42\/13536221.\nAnswer: 1285940995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(8\/3)*n*n*n*n*n\/((n**(-13)\/n)\/n*n)*((n\/(n**(-5\/4)\/n))\/n*n)\/n*n**(-2\/19)\/n assuming n is positive.\nAnswer: n**(5201\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1423 - 232?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-1))\/(-3*1\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5.245459mg?\nAnswer: 0.005245459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6\/25, 2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-2 - 2) + 40. Let c = -26 + p. Calculate the remainder when c is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2008051*x**3 - 91*x**2 - 1192?\nAnswer: -12048306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8.5 + -11. Which is the smallest value?  (a) q  (b) 2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*-0.283349\nAnswer: -1.133396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 883*n + 519*n + 784*n - 552*n to the form i + o*n and give o.\nAnswer: 1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*a*g**2*m**3*o + a*g**2*m**3 - 26*a*g**2*m**2 + 3*g**2*m*o + 12*m**3 wrt o.\nAnswer: -3*a*g**2*m**3 + 3*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67369 is divided by 6556?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -233, -3, 4.\nAnswer: -233, -21, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 3*a + 21 = 0, 5*f - 4*a - 4 - 61 = 0. Suppose 0 = -f*m + 39*m - 60. Sort m, -7, 5, 1 in decreasing order.\nAnswer: 5, m, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-2)\/(-4)*0 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuutpbuduuuu. What is prob of picking 1 p and 1 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 + 6*p + 11 - 17*p - 18*p**2 - 37*p**2. Let a(o) = 11*o**2 + 2*o - 2. Let n(x) = 22*a(x) + 4*l(x). Let h(y) = -y**2. What is n(h(g))?\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/25 + (-1297)\/(-5). Suppose -p*x - 10438 = -261*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 816 and 13209.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y**3 - 3*y**2 - 7. Let c be x(3). Suppose -7*l + 9 = -c. Solve -g = -2*w + l, -4*g = -w + 5 - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6640)\/241530*(-12)\/(-16).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -6*p - 5. Let k = -2812 + 2805. Give b(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*d + 6342 = 20*d + 6601 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 6) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63543.\nAnswer: 3, 59, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1359 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + 129*v + 1954. Let n be d(-18). Which is smaller: -47 or n?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -8831, 2, 0, -6 in increasing order.\nAnswer: -8831, -6, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 107164 and 14?\nAnswer: 750148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 18*h + 3*h)*(0 + 4 - 1) + 9 - 5 - 1 - 6*h.\nAnswer: 51*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 5)*(-9)\/20*5. Calculate the greatest common factor of 207 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 166 times 27893\nAnswer: 4630238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 4 - 18)*(-g**3 + 3*g**4 + g**3)*(-3 + 6 + 1).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2 - -0.1. Let x = -1.7 + 1.74. Let r = 0.16 + x. What is the nearest to 0.1 in c, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3515925 is divided by 3289?\nAnswer: 3273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 4\/2399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 38815, -9, 1, 5, 0 in decreasing order.\nAnswer: 38815, 5, 1, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2043731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -4*v + 8*m + 136, 4*v + 5*m = 181. Suppose -v*j = j - 10240. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -9  (b) -4  (c) -2  (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -394516 + 6*n + 394516.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6891576 to the nearest integer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -92*i - 3. Let b be d(-5). Suppose 0 = 3*s + 791 + b. Is 13 a factor of s\/(-24)*6\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of j**4\/24 - j**3\/3 + j**2. Let h be y(6). Is 2\/h + (-21)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10162.1 + 1?\nAnswer: 10163.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10679*j + 10662*j + 3 = 4*t, 2*j + 17 = 3*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 190, -9, -32 in ascending order.\nAnswer: -32, -9, -1, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -12*f - 386416. Let i(t) = -t**2. Determine p(i(d)).\nAnswer: 12*d**2 - 386416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -51974*h**2 - 363812*h\/7 + 6\/7 = 0. Calculate h.\nAnswer: -1, 3\/181909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*16\/360*(-20)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.0955 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7728 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: b\"What is the tth term of 84, 156, 326, 642, 1152, 1904, 2946, 4326?\n\"Answer: 8*t**3 + t**2 + 13*t + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 9, 6\/11, 4, 3, 0.078, 1971\/4?\nAnswer: 0.078","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-46480)\/(-861249) - (-66)\/(-1221). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = 811 + 869. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -773510.1967 rounded to the nearest ten thousand?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3839 - 3833. Let j(z) = 26*z - 160. Give j(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139404?\nAnswer: 2, 3, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**3 + 2*n**3 + 11*n**3)*((-2 + 4 + 0)*(2 - 2 + n) + 2 + 2*n - 5 + 1).\nAnswer: 56*n**4 - 28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/3?  (a) -0.5  (b) -0.4  (c) -773.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 2)*(2*w**2 + 2*w**2 + 2*w**2) + w**2 - 17*w + 17*w + 2*w**2 + 2*w**2 - 3*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**3 - 1315*x**2 + 20990*x - 19680.\nAnswer: 5*(x - 246)*(x - 16)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1179790 and 6252887?\nAnswer: 62528870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*d**3*h**3 + 2*d**3*h**2 - 31*d**2*h**6 + 8*d**2*h - 42*h**2 wrt h?\nAnswer: -18*d**3 - 3720*d**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**1)**(1\/19)*b**(-1\/3)\/((b**4*b)\/b) assuming b is positive.\nAnswer: b**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, u: 2, t: 1, d: 6, x: 1, c: 2}. Give prob of sequence pcc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 19 + 139 = 0. Calculate the remainder when o is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 11:41 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of 5*l**3 - 55*l**2\/2 - 20*l + 4. Factor o(b).\nAnswer: 5*(b - 4)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 69\/2 of a year?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -5*p**3 - 12*p**2 - 11*p - 9. Let s = -19 - -11. Let y(d) = 2*d**3 + 4*d**2 + 4*d + 3. Let u(z) = s*y(z) - 3*j(z). What is the units digit of u(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 254 = 6*o - 100. Find the third derivative of -o*r**5 - 1424*r**3 + 72*r**2 + 2*r**4 + 1424*r**3 wrt r.\nAnswer: -3540*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -72469 - -128834. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0201879 and 398?\nAnswer: 8.0347842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15*(-6)\/405)\/((-1)\/3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -77 + 23. Let p = b - -59. Suppose 0 = -3*m - p*u + 356, 6*m - 5*u - 316 = 3*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.18 + -1.2. Let n = 163 - 163. Which is the closest to -1\/2?  (a) 1\/5  (b) j  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 2:31 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 84163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 111*c + 461. Let b be s(-4). Solve 66*n = 49*n - b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 116 divided by 426\nAnswer: 58\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((14 - 11) + 4 - 12) + -5 - -30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*c**4 - 72*c**3 - 6*c**2 + 52*c + 18 = 0.\nAnswer: -1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -35*r**3 + 2*r**2 + r. Let p(m) = m**3 - m - 1. Let w(x) = a(x) + 2*p(x). Let s be w(-1). Calculate the greatest common factor of 306 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 2*b - 5. Let z(q) = -3*q + 4. Let v(w) = -4*m(w) - 3*z(w). Let p be v(-6). Suppose c = 5*k + 139, -p*c - 3*k = -4*c + 243. Is c a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7973.\nAnswer: 7, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*l = -13 - 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence utot when four letters picked without replacement from ttttuttotttttttt?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -4 + 18*l + 1 + 254*l. Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 411 and 108692238?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6145, -6157, -6183, -6229, -6301, -6405?\n\"Answer: -y**3 - y**2 - 2*y - 6141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-8 + 38\/5 - (-9665)\/100)*16?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -1 - 4 - l**2 + 3*l + 0*l**2 + 3. Let s be (14*3)\/3 + 2. Suppose 2*j = 2*k + s, -k - 2*k - 15 = 0. What is y(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -109*h**5 - 9*h**3 + 10218*h**2 + 2*h wrt h?\nAnswer: -6540*h**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = -2*j + 8*j. Let n(i) = -6*i + 74. List the prime factors of n(j).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 510197\nAnswer: 4\/510197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 5:03 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*o - 115*o - 114*o + 261*o - 1633 = 0 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-18)\/42 - 16\/(-21). What is the third biggest value in -0.5, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 154801 and -0.003?\nAnswer: -464.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28 - -32. Let f(v) = 6*v**2 - v. Let d(n) = 5*n**2 - n. What is q*f(w) - 5*d(w)?\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 18 = -6. Is b*(-5)\/10 + -3 + 397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 63*t**2. Let m(l) = 128*l**2 + 1. Determine -2*m(y) + 5*r(y).\nAnswer: 59*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 12:39 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -5*j**5 + 1105*j**4 + 20510*j**3 - 9053710*j**2 - 328070505*j + 337102605 = 0.\nAnswer: -51, 1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**2 - w**3 - 2*w**2)*(3 - 19*w**2 - 3) - w**5 + 2*w**5 + 0*w**5 + (-1 - w**2 + w**2 + w**2)*(-3*w - w**3 + 3*w).\nAnswer: 19*w**5 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 3*p - 17, -3*p - 5 + 14 = 3*h. Suppose 6*l = 2*l - 12. Sort l, 2, 3, h in increasing order.\nAnswer: l, 2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -71.187311 to 2 dps.\nAnswer: -71.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 14*i**2 + 25*i + 52. Calculate o(16).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 6 = -2*l, -4*t = -5*l - 13 - 2. Let s(z) = -z**3 - 5*z**2 + 6*z. Let w be s(-6). Sort 5, l, w in ascending order.\nAnswer: l, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -1 + (-32 + 22 - (-12 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 5, 21, 53, 107, 189, 305?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38 (base 10) to base 8.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 6 + 7*r)*(-13 + 18 - 5 - 21*r + 108*r) to y*r + k + c*r**2 and give c.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*n - 16*n + 273 = 0. Suppose 2*q + 4*g - 8 = 0, 5*q - 4*g + g - n = 0. Solve -q*j = -0*j + 4*y - 20, -3*y = -4*j - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 1 - 521. Let u = t + -73. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from {t: 3, h: 2, f: 3, a: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of -v**6\/135 + 467*v**5\/90 - 931*v**4\/54 + 155*v**3\/9 + 83*v - 4. Factor a(t).\nAnswer: -2*t*(t - 465)*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -4 + (-1*sqrt(208) + 2 + sqrt(208) + sqrt(208) + 1 + -5 + (-5 + sqrt(208)*-2 - (sqrt(208) + 1 + 5 - sqrt(208))))*-1)**2.\nAnswer: 80*sqrt(13) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2767 is divided by 2751?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o**3 - 46*o**2 + 252*o + 2581. Give y(-26).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 73411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 370 and 814.\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1264.236km?\nAnswer: 1264236000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w**2 + 3*w. Let b(q) = -5*q**2 - 7*q. Let c = -61 - -39. Let s = -15 - c. What is s*d(t) + 3*b(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -824 - 2*m - 12843 + 1093 + 2743 - 14946.\nAnswer: -2*m - 24777","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*u + 3, -4*u + 1111 = 5*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by -1259387\nAnswer: -8\/1259387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1945467182 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -143 - d21d?\nAnswer: -d362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1456412 is divided by 1456395.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6.236 - -5.6. Round j to two decimal places.\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (89 + 147 + 92 + 4 + 49)*(-6*i - 14*i + i) as v*i + g and give v.\nAnswer: -7239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.070908 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 111 = -104. Suppose 4*b = 13 + n. What is the remainder when 40 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 265061562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/7)\/(-8) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -3*f**2 - 2. Let p(z) = -z**2 - 1. Give 5*p(l) - 3*v(l).\nAnswer: 4*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1574043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -5*b. Let u(h) be the third derivative of -13*h**5\/60 - h**4\/8 + 13*h**2 + 2. What is a(u(m))?\nAnswer: 65*m**2 + 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from nnnnww.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*r + 958 + 2 = 0. Sort -4, r, 3, -6 in ascending order.\nAnswer: -6, -4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00039544 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, h: 6, z: 3, n: 1, x: 6}. Give prob of sequence xn.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52825 is divided by 3103.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*v - 3 + 1 - 1)*(-v**2 + 0 + 0) to n*v**2 + m*v**3 + t*v + r and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3233 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5 = 0, 4*l - 2*k + 4*k - 294 = 0. Suppose 3*s + l = s. Let b = s + 42. Solve 5*p - 4*c = -17, -23 = p + b*c - 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -10\/8272063?\nAnswer: -10\/8272063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1411 - 1404. Solve -8*l + j*l = 4*v + 18, -2*l = -2*v - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100025 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2806 and 28146925?\nAnswer: 1294758550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5097 is divided by 486.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1359320986 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 12:43 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.05 and 11?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 2, 0.1, -944, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -25*z**3 + 3*z**2 + 10*z + 7. Calculate x(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29\/(290\/(-4))*-10*22\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -5*y - 13 - 5*y + 3*y + 3. Let f be z(-2). Suppose 5*b = -5*m + 480, -384 = -f*b - 0*b - 5*m. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 18*b. Let i(o) = 45*o. What is v(i(z))?\nAnswer: 810*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-four fifths of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -56 - -56. Let t(k) be the third derivative of 0*k**4 + 0 + 0*k**3 - k**2 - 1\/300*k**5 + d*k. Determine y, given that t(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57957 is divided by 536?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -0.2  (c) 5  (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*x + 37*x + 661875*x**2 - 14*x.\nAnswer: 661875*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (637 - 637 - 9*g)*(g**3 - 3*g**3 + 0*g**3) + g**4 - g**4 - 2*g**4 + 4*g**4 - 5*g**4 - 2*g**4.\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -26780 less than -30447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26 and 4654?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 592007263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 10:00 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -4*d + 62 - 302 + 250. Let x(g) = -g**2 - g**2 + 3*g**2. Calculate x(l(w)).\nAnswer: 16*w**2 - 80*w + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-24))\/((266\/448)\/19)*363\/484?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 11208.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/((-1)\/(-22)*2). Let y = d + 3. Let w(n) = 2*n**2 + 8*n - 9. Is w(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 5*c**2 + 15*c. Let g be b(-5). Let v = -61 - g. What is the highest common factor of 98 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -148780 - -148782. Let q = 0.2 - 0.3. What is the nearest to -1\/2 in 0.2, q, 2\/3, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 530456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/(-4)*94\/141. What is the third biggest value in u, -3\/4, -23, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 2*o = -23, 3*s + 3*o + 6 = s. Suppose u = -2*z + 12, 2*u + 3*u = -s*z + 25. Suppose -u*q + 49 = -q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 85 * -0.05408\nAnswer: -4.5968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -5 + 8 + 1 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40 - -61. Suppose -210 = -59*i + 58*i. Let y = -202 + i. Calculate the remainder when g is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z**2 - 462*z + 49713 = 0.\nAnswer: -227, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13223 - 595031\/45. Let f(b) be the first derivative of -a*b**5 + 0*b**4 - 1\/27*b**6 + 4\/27*b**3 + 1\/9*b**2 + 0*b + 4. Determine m so that f(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -2*t, 21*t + 5*q + 4 = 20*t. Sort 3, 5, 8, 2, t in descending order.\nAnswer: 8, 5, 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.078 - -36.078. Let v = -34.96 + c. What is v rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74864729598*v**3 + 74864729597*v**3 - 149729459174*v**3.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 3*h - 19, 2*f - h + 7 = -0*f. Is 36 a factor of 3570\/9 - f\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/o**8)*o)\/(o**(13\/3)*o)*(o**(-2\/15))**(-16) assuming o is positive.\nAnswer: o**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1903?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 7.4, 0.2, 2\/7, 0.35, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28 + 46. Is 765\/r*(-6)\/(-5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -9667 greater than -106350\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 15760 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: What comes next: 2, -122, -242, -358, -470, -578?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sessj. What is prob of sequence sess?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-15)\/20*(-8)\/3. Let t be ((-14)\/21)\/(c\/(-15)). Solve t + 7 = 4*g + 4*n, 0 = -5*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 276733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/(-6))\/((-2)\/252). Suppose -2*v + 32 = 2*d + 2*d, -d - a = -2*v. Let x be (-5)\/2*16\/v. Is -10 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2399*i - 28784. Give u(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 30 + 34 = 0. Let s(y) = -z + y + 1 + 7 + 6. Let p be ((-12)\/(-15))\/(2\/(-10)). Calculate s(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 - 10*l - 14. Give f(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-340)\/(-80) - (-2)\/(-8). Suppose -2*a = -6 - c. Find the third derivative of 0*v**5 + 9*v**a - 127 + 127 - 5*v**2 wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(114)*-1*5 + sqrt(114))\/((sqrt(48) + sqrt(432))\/sqrt(8)) - ((1 + sqrt(931) + -1)**2 - (0 + 1 + sqrt(931))).\nAnswer: -930 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -3179*d - 10. Let q(z) = 637*z + 2. Determine -11*q(i) - 2*x(i).\nAnswer: -649*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 - 10*n - 7. Let t be y(-9). Let j(m) = m**t + m + 0*m + 2 - 2. Determine j(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 2*n + 39 - 37 = 0, -5*v + 4*n = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 PM and 2:03 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*r + 24*r - 45*r + 54*r**3 - 50*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31545 - 31455. Solve 0 = -2*d - 3*w - 15, 92*d - t*d + 21 = -5*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - 0. Suppose 0 = -v - 4*h - 0 - 22, 5*v + 2*h + 20 = p. Let z = 1.03 + -0.03. Which is the closest to z?  (a) v  (b) -3  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -25*z**4 - 21370*z**3 - 13975*z**2 + 2660490*z + 7532280 = 0.\nAnswer: -854, -49\/5, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19106797 and 1.\nAnswer: -19106797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -0.09862\nAnswer: -0.4931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 245 - 115.8. What is g rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 97*g**2 + 80*g + 1552. What are the prime factors of o(-18)?\nAnswer: 2, 5, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**4 - y**4 + 2*y**4 + (-12*y - 23 + 23)*(y**2 - y**2 + y**3).\nAnswer: -11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 252 - 286 - (-1 - 15) - (-35 + 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 2*r = 40, -308*n - 82 = -311*n + 4*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 21) + 53 + -28?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*f**2 - 135 + 135 + 2*f**3 in the form d + z*f**2 + p*f + q*f**3 and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2 - k + 1. Let j be u(-2). Let o be 2\/j + 4\/14. Let l = 451\/1085 - -2\/155. Which is the smallest value?  (a) l  (b) 1\/2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 684378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-243)\/36)\/((-93)\/124)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 4*z**2 - z + 1. Let x be g(1). Differentiate -2*v**4 - 3 + 3*v**x - 5 + 3 wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, -10353, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 - 2*i + 1. Let k be q(-2). Let z = 67\/96 + -1\/32. Let l = -150 + 146. Which is the second smallest value?  (a) l  (b) z  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -i**4\/28 - i**3 + 45*i**2\/14 + 25*i. Factor h(t).\nAnswer: -3*(t - 1)*(t + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 8, a: 2, v: 7, w: 1, z: 2}. Give prob of picking 1 p and 1 a.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**2\/4 - 615*n\/4 + 8667\/2 = 0. Calculate n.\nAnswer: -642, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 equal to 10\/461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21 + 109. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2068\/329)\/((116\/(-4466))\/(4\/(-22)))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 870058 is divided by 434990?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a = 126*a + 145*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 3*j - 2 + 11 = 0, -2*j = d. Let n(v) = -8*v**2 + 7*v - 2. Let k(a) = -23*a**2 + 20*a - 6. Calculate d*k(z) - 17*n(z).\nAnswer: -2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3df9d (base 16) to base 9\nAnswer: 426188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83508770 is divided by 820.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(3\/5))\/g**(1\/4))\/(g**2)**18 assuming g is positive.\nAnswer: g**(-717\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the third derivative of x**5\/20 + 3*x**4\/2 + 41*x**3\/6 + 51*x**2. Let l be w(-12). Calculate the greatest common factor of 369 and l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + -10.18. Let f = 0.02 - m. Let v = -2 - -8. Which is the biggest value?  (a) 2  (b) f  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -58 - (8 + 9 + -48)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.2 - 0.8. Let u = -1.4 + k. Which is the closest to 1?  (a) -0.2  (b) -5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*r + 124 = 62*r + 2*a, 3*r + 11*a - 9*a - 92 = 0 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4433684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 1. Suppose 0 = 4*q - 12 + k. Solve 0*p = -2*p - q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - 5. Let a = u + 7. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18*z**2 + 9*z**4 + 0*z**4 + 13*z**3 - 12*z**3 - z**4 wrt z.\nAnswer: 192*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 - (-16 - (-30 + -18)) - -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 669*c - 54. Let s(t) = -2013*t + 159. Let y(n) = 3*s(n) + 10*u(n). Let d(h) = -21*h + 2. Give 63*d(b) + 2*y(b).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/(-2) + (5 - 110\/20). Let a(u) = -7*u**2 + 2 - 2*u + 3*u**2 - 4. Give a(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 458*c - 453. Let b be f(1). Solve 4*v + 56*l - 11 = 57*l, 5*l = 5*v + b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z + 53 = 44*f - 42*f, 2*z - 68 = -3*f for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -9 - ((-29 - (23 + -25)) + 10).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04402225 take away 5?\nAnswer: -5.04402225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1244 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/((-405)\/25)*2\/(-1)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 105974226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 39\/202952 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/60 and -151\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 4\/(-4) + (-3549)\/(-13). What is the greatest common divisor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3550660.\nAnswer: 2, 5, 177533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 3, t: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 6*y - 9. Let n be k(5). List the prime factors of 910\/n + (-2)\/(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 33. Suppose 0*l + 3*l + 1 = c, 4*l + v = -5*c. Put l, -4, 5 in decreasing order.\nAnswer: 5, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24, 28, 32, 36?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from tntt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2782\/11 + -8335\/33. Factor -j*u**2 + 1\/2*u - 1\/6.\nAnswer: -(u - 1)*(2*u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 214814802 to the power of 1\/2, to the nearest integer?\nAnswer: 14657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21130045 - -52?\nAnswer: -21125553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, 2\/15, -0.2, 7\/23, -0.1, 2\/7, 44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 10\/19537?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -24971 at most -474431\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*o - 9*t + 6*t, 5*o - 26 = t. Solve -7*j + 39 = o*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34975230453 + -0.091.\nAnswer: 34975230452.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 0, 3*p - 36 = -0*p - 5*a. Suppose -k - p = -54. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 325883107.\nAnswer: 11, 29625737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 - 65*v - 3 + 66*v + 0 - v + 0 + (-2*v - 2 + 2)*(3 - 1 - 3).\nAnswer: 2*v - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -356, -714, -1068, -1418, -1764?\n\"Answer: 2*j**2 - 364*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + (-993*18429)\/(-1). What is q rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1626 - 962. Suppose 3*y + 70 = l. Calculate the greatest common factor of y and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -298*a**2 - 2*a + 294*a**2 - 326*a**2 + 1197*a**2 + 709*a**2 + 1774*a**2.\nAnswer: 3350*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23544007.294 + 2.\nAnswer: 23544009.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/210*15 - 0\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + 1. Suppose 0 = -c*r + 5*d - 27, -3*d - 3 = r + 2*r. Suppose u - 11 = -2*j - 3*j, -5*u + 4*j = 32. Is r less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 6. Let g = j - -11. Calculate the highest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 t, and 1 y when three letters picked without replacement from tjejjntyejjjejtne?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, m: 14}. Give prob of sequence im.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/50 and 99\/10246?\nAnswer: 256150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/(-4))\/((-3)\/72). Suppose 91*s - 6498 = -270*s. Calculate the greatest common divisor of q and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -26\/8145 and -56\/8145.\nAnswer: 8145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 + 23.2. Let k(g) = 2*g - 3. Let d be k(4). Which is the second biggest value?  (a) -0.2  (b) z  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxyyyxlyxlxy. What is prob of sequence yxl?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 101101101 (base 2) in base 6?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 5*r**2 - r + 3. Let w be f(3). Let z = w - 43. Solve z*o + 5 = -s, -12 = 3*s + s + 4*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-220)\/11 - -14)*(4 + ((-72)\/16 - -5))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {x: 4, v: 11, i: 1, p: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 2*q**2 - 3*q. Suppose c = -3*c. Let r(n) be the second derivative of 1\/3*n**3 - 1\/12*n**4 + n + c*n**2 + 0. Determine 4*g(h) + 6*r(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - -1 - -34) + (-3 - (4 + (-4 - -5)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 38128, 38130, 38132, 38134, 38136?\n\"Answer: 2*b + 38126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 5*s + s**3 - 2*s + 5 - s**2. Suppose 7*p - 12*p = -20. Determine d(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 516 + 6.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3470 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -2*x + 55. Let r = x - -12. Suppose -r = 3*w - 4. Put w, 5, 2 in descending order.\nAnswer: 5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - 27\/108*-32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 17*k**4*l**2 - 57*k**2*l**2 + 1938*l**2 wrt k?\nAnswer: 68*k**3*l**2 - 114*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (124 - 97) + (-7 - -19).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 94477931 and 3292.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 3*v**2 + 7*v + 7. Let h(w) = -3*w**2 - 12*w - 11. Let q(f) = -11*f**2 - 49*f - 44. Let g(n) = 9*h(n) - 2*q(n). Let x(y) = 5*g(y) + 8*i(y). Give x(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) - (sqrt(70) + -3*(sqrt(70) + sqrt(70) + sqrt(70)*-3 - sqrt(70)) + sqrt(70)))\/sqrt(10).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(-2\/3)*w**(-2\/17)*w*w**6*w*w**(1\/6)*w assuming w is positive.\nAnswer: w**(319\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36851?\nAnswer: 43, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 2168610\nAnswer: 2\/1084305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -31, -46, -61, -76, -91?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {k: 3, b: 4, o: 5, h: 1, j: 1}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 78666246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 24\/15 + 38\/(-30). Which is the nearest to -3\/5?  (a) 4\/3  (b) -4\/5  (c) u  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (2*sqrt(32))**2*5 - (sqrt(6)\/(sqrt(9)\/(sqrt(3) - sqrt(3)*-2)) + -5).\nAnswer: -3*sqrt(2) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 14 = 2*t, -3*n + t = 2*t - 1. Solve -2*c - 19 = 5*z, -n*z = -5 + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 35 = 3*k, x + 574*k - 578*k = -4*x - 186 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 - 3*n**2 - 3*n. Let d(k) be the first derivative of -3*k**4\/2 - 17*k**3\/3 - 17*k**2\/2 + 6. Determine 6*d(y) - 34*s(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 170 = 164 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33 - -33.017. Round l to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -333602\/27 + 12358. Find the common denominator of 83\/444 and w.\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Divide -38 by -184.\nAnswer: 19\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2880 and 24.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9505145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3253741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 5 - 4)*(0 - 1 + 3)*(-3*y**3 + 4*y**3 - 2*y**3)*(3 + 2 - 4)*(-1 - 3 + 3)*(32 - 36 - 45).\nAnswer: 98*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 - a - 13. Let d(g) = -9*g - 7 + g - g**2 + 10 - 1. Let p be d(-8). Suppose -2*r = p*r. What is x(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - 8*p. Let w be i(6). Let h = 20 + w. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 14, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = -8*m - 79. List the prime factors of ((-135)\/(-4))\/((-6)\/m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 573364.7 millennia?\nAnswer: 57336470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.554 and -26194.1.\nAnswer: -14511.5314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.06, 2823, -1 in descending order.\nAnswer: 2823, 0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, w: 1, x: 2, s: 1}. Give prob of sequence sv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 182674.99575 + -182585. Let l = j + -90. Round l to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9295*u - 9300*u + 41 = -2*c, -2*u = -10 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-19)\/2)\/(11\/(-22)) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1228.6 - -1236.6. What is the third biggest value in -3, -2\/3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -742 divided by 1213625?\nAnswer: -106\/173375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 60*z**2 - 9*z - 445. What is the remainder when 392 is divided by g(-60)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2231300 - 1122312?\nAnswer: -10020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 36603773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-8)\/j**(-1\/10))**(-33) assuming j is positive.\nAnswer: j**(2607\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*m - 315*m**4 + 233*m**4 + 3*m + (31*m - 31*m + 59*m**2)*(4*m**2 - 4*m**2 - m**2) to the form o + f*m + a*m**3 + y*m**2 + z*m**4 and give z.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 159  (b) 1.4  (c) -1\/2  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.04 - 3.04. Let i = 0.9 + -1.2. Let m = 0.2 + -0.1. What is the third smallest value in m, j, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 3*u = -3*f + 12, 4*f = -2*u + 22. Let i(c) = -2*c**3 - 2*c - 1. Let d be i(-1). Suppose 0*y = -d*y. Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 5*l + 4*l = -155, 3*s + 3*l = 93. Suppose -28*d = -3*d - 800. Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2789 + 2789.3. What is the closest to 0 in p, -22, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 120524471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*u + 45*u + 2*u**2 + 27*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k**2 - 190*k + 7496. What is a(30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 1769561 - 2359984 = 0. Suppose -13555303 = 4*g - k. Round g to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.825 years to millennia.\nAnswer: 0.078825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-16*z + 9*z - 18*z)*(-10*z - 4 + 4) to the form n*z**2 + l*z + c and give n.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 64070 + -34301. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20247 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(1377) - (sqrt(1377) + sqrt(1377) + (sqrt(1377) - sqrt(1377)*-3)**2 + 0))*-6)*6.\nAnswer: 324*sqrt(17) + 793164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -5, -262, 1, 3, 5 in descending order.\nAnswer: 5, 3, 1, -5, -16, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2200 and 660.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 75571768837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*(-8)\/(-12) + 18. Solve -6*v = -v - k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 26  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 880743*s - 880765*s + 748 = 0 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3*r**2 - 7*r - 1. Let d be w(3). Suppose -31 + 36 = d*j. Let o(u) = -8*u**2 + u - 1. Give o(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and -88.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 7)*(-3*h + 2*h + 3*h) - 1 + 2 - 4*h + 1.\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-1*sqrt(1900) + sqrt(1900) - (sqrt(228) + (sqrt(228) - (-1*sqrt(228) + sqrt(228) - sqrt(228))))\/sqrt(12)) + -1.\nAnswer: -12*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 21 = 3*s, 19 = 5*s - 723*v + 720*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 0.022?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28*6549\/826*(5\/(-3))\/5.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/99, 70, 8?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 - 70*h + 3015. What is u(30)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6953 + 6952.9. What is the closest to h in 154, -0.3, 2\/5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.94 + 0.84. Let u = d + 3. Suppose 3*l - 3*s - 3 = -2*l, 3*s = -5*l + 27. Which is the nearest to l?  (a) -3\/4  (b) u  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + 1 - 1 - 3) + (33 - 27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -4*w**2 - 71*w - 50. Let c be j(-17). Solve 4*f - 5*x = -12 - c, 2*x = -4*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 441 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 4.059582 decades?\nAnswer: 0.04059582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1, -74, -279, -688, -1373, -2406?\n\"Answer: -12*a**3 + 6*a**2 - 7*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/q**(-7))\/q)**(-2\/45)*(q\/(q*q**(-6)))**(-12\/11) assuming q is positive.\nAnswer: q**(-3416\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/2 - 1709539*n**2 - 2922523592521*n\/2.\nAnswer: -n*(n + 1709539)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 31611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12029 is divided by 1334.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3467 + 5363. List the prime factors of n.\nAnswer: 2, 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**2 + 6*g + 25. Let a(c) = c**2. What is z(a(i))?\nAnswer: -2*i**4 + 6*i**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/7  (b) 21  (c) -27  (d) 1  (e) -1\/4  (f) -0.5  (g) 1308\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -7*a + 5. Let g(f) = 4*f - 3. Let n(u) = 5*g(u) + 3*w(u). Let s(k) = -14*k. What is n(s(d))?\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2450762 rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 - 11*w - 7. What is l(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l**2 + 18*l - 14. Let a be y(14). What is the greatest common factor of a and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, h: 4, u: 2, f: 1, v: 3}. Give prob of sequence uh.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 4 - 1 - z - 2. Let p(u) = -7*u + 6 - 4 - 9*u + 14*u. Calculate 6*d(n) - 2*p(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-9)*-3 + 1*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -982064 and -2.3.\nAnswer: 2258747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 5*f**2. Let m(s) = -2*s**2 + 142. What is a(m(i))?\nAnswer: 20*i**4 - 2840*i**2 + 100820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 432 divided by -16.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 AM and 12:10 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2198\/3 - 746. Find the common denominator of t and (-1371)\/(-1197) + (-16)\/56.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k - 1. Let q be c(-4). Suppose 2*w - 28 = 4*w. Let o be (-161)\/w + 1\/2. What is the greatest common factor of q and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of b**2\/2 + 1. Let q(w) = 20*w - 32. Let o(i) = -4*i + 6. Let l(u) = 16*o(u) + 3*q(u). Give p(l(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/3 - -2)*1. Let c be 18\/(-12) - (-178)\/p. Let z = c + 11. Calculate the remainder when z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 - 7. Let o(h) = -13*h - 9. Let r be (-5 - (3 - 1))*(-2)\/7. Let u(i) = 7*i + 5. Let d(k) = r*o(k) + w*u(k). What is the derivative of d(z) wrt z?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.5 - 0.5. Let f = m + -1. Let t = -61\/3 - -20. What is the second smallest value in -3, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v. Let j(w) be the third derivative of w**4\/6 + 17*w**3\/6 - 13*w**2. Let p(o) = -j(o) + 5*u(o). Let k be p(14). Which is smaller: -15\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -17092535, -34185069, -51277607, -68370149, -85462695, -102555245, -119647799?\n\"Answer: -2*x**2 - 17092528*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -173405 by -34681.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*1*((-8)\/1)\/80?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/3)\/((264\/(-396))\/(4\/(-3)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -271, -275, -279, -283, -287?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -4. Let i be ((-2)\/(-4))\/(1\/s). What is the highest common divisor of 4 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -38063 - 2?\nAnswer: -38065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 0. Let z(q) be the second derivative of -q**4\/4 + q**2\/2 + 11*q. Calculate z(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 3:25 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, 18, -7643, 14 in descending order.\nAnswer: 19, 18, 14, -7643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 divided by -17.\nAnswer: 29\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -5*z + 52. Suppose 2*l + z = 0, -u - 5*l - 4 = 5. What is the highest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 10:54 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20212 + 2?\nAnswer: -20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 2*c - c + 3, -3*c + 4*a - 1 = 0. Let j be (c\/5)\/((-1)\/(-35)). Let o be (14\/(-3))\/(2\/(-24)). Calculate the highest common divisor of j and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4080 or 11636?\nAnswer: 11636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3909 + 3951. Calculate the least common multiple of 6 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 - 1) + 2 + 341. Let i = j - 184. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 1 = -21, 2*d + 5*p + 25 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-56)\/(-6))\/(26\/195). What is the greatest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -983857 and -160383.05.\nAnswer: -1144240.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -557728 - -557727.590059. Let j = 0.41 + x. What is j rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 353 - 109. List the prime factors of g.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-11 - -6))*(-8)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*n + 46*n = -8. Suppose -4*v = r - 112, -n*v + 3 = v. What is the highest common divisor of r and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 39549 + -39221.82. Round a to zero decimal places.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000674 rounded to 5 dps?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32497509 and 32497509.\nAnswer: 32497509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -321*c**2 - 122*c**2 + 29*c + 156*c**2 + 1 wrt c?\nAnswer: -574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52.18703km to nanometers.\nAnswer: 52187030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125154074?\nAnswer: 2, 62577037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -942, -941, -940?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 9.16  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 5, 10, -3, -4152 in increasing order.\nAnswer: -4152, -3, -0.1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - 10100011000010?\nAnswer: -10100011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-115)\/(-15) - 6\/9. Let o be -4 - -11 - (-2 + x). Solve 0 = 2*h - o - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 51858540 and 1464.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-29)\/(x*x**(-35)) assuming x is positive.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.0411 + -0.0411. Let t = -1 - -1.1. Let b = 57\/70 + -11\/10. What is the nearest to t in 2\/5, g, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(30\/(-4)*29\/145).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 25?  (a) -1.9  (b) -1\/4  (c) 0.3  (d) 77  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mbbn when four letters picked without replacement from nbbmnbnbbnnnbbb?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + (15 - (0 - 0)). Let z be (-1 + 10)*r\/24. Suppose 0 = -z*o + 2*o. Solve -15 + 1 = 4*t + 3*j, -t + j = o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 6*y + 28890 = 0. Let t = -31817\/11 - y. Suppose 0 = 4*s + 125 + 51. Calculate the common denominator of s and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 887*g**2 + 901*g**2 - 10*g - 1439*g**2.\nAnswer: 349*g**2 - 10*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 3. Let l = 2659 - 2656. Which is the closest to l?  (a) -1  (b) y  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 214699028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -3*y - 18 + 4*y + 2*y - y - 12. Let t be r(16). Factor 1\/4*x - 1\/4*x**t + 0.\nAnswer: -x*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + -13. Let t = -1571 - -1570.9. Which is the third smallest value?  (a) t  (b) -5  (c) n  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/72 and 38\/56067.\nAnswer: 1345608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*k - 3317 + 299399 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 400 - 2399\/6. Let j(a) be the first derivative of 1\/20*a**5 + 0*a + 0*a**2 - 1\/16*a**4 - 41 - q*a**3. Let j(z) = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 6*v = -10*v - 220, 0 = g - 3*v - 154 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of -a**4\/24 + a**2\/2 + 2. Let z(g) be the second derivative of w(g). Let q(k) = -2*k. What is z(q(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 401620 and -0.2?\nAnswer: -80324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 + 8*i**2 + 17*i + 32. Let z be n(-6). Suppose -2*d + 584 = h, -z*h + 3*h - 612 = 5*d. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 44757*z**3 + 1730*z**2 + 1254753669*z.\nAnswer: 268542*z + 3460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjaqaajaaqjjjj. Give prob of picking 3 j.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2491 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -65, 171, 3, 5 in decreasing order.\nAnswer: 171, 5, 3, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 - 5*d + 2. Let q be g(3). Let n(y) = 3*y. Let i(z) = 3*z. Let v(b) = q*n(b) + 3*i(b). Let s(x) = -x**2. Determine v(s(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -5, 0, 49\/2 in increasing order.\nAnswer: -5, 0, 1\/2, 49\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -320 + 56. Let i(a) = 3*a**3 + 3*a**2 - a - 8. Let t be i(-2). What are the prime factors of l\/t + (-1)\/(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2009648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + 5\/(-2) + (-12)\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 + 17*b + 1 - 16*b)*(2 + 4 - 5) in the form f*b + r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in -12\/5, -4, -5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 14 - -9ae?\nAnswer: 9c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2499 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.830758 months to years.\nAnswer: 2.4858965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -168 (base 11) to base 7\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 - 14*u + 7. Let w be p(13). Let a be w\/(-4)*2\/71. Let b = a + -305\/497. What is the third biggest value in b, -2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-6)*6 + 76\/(-3) + 29?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8824, 17665, 26502, 35335?\nAnswer: 44164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**4 - p**2 - 1. Let s(g) = g**5 + 3*g**4 + 3*g**3 - 3*g**2 - g - 13. Let h(k) = 3*a(k) - s(k). What is the second derivative of h(y) wrt y?\nAnswer: -20*y**3 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3211 and 25519.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -491*p - 1373 = 1166 + 1880 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3657315 by 4659.\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is k in k**2\/3 + 30*k + 483 = 0?\nAnswer: -69, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85267488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the first derivative of -b**4\/4 + 5*b**3\/3 - 5*b**2\/2 + 6*b + 3. What is the units digit of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 606842339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -142, -497, -1082, -1891, -2918, -4157, -5602?\n\"Answer: b**3 - 121*b**2 + b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/30*5*3\/(-15)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -40162500 - 4?\nAnswer: -40162504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.99 + -67.99. Let i = 68.1225 - 0.3425. Let n = w + i. What is n rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1190)\/(-357)*144\/20*1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -736077 less than -736076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 9:57 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 136690 and 96000?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-117)\/182*12\/(-18))\/((-3)\/(-49))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -24.06956 from -46.11.\nAnswer: -22.04044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 43 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a millennium in decades?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {x: 1, c: 2, t: 1, b: 3, q: 10}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 3102.\nAnswer: 930.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 36\/(-8)*364\/56*(-8)\/(-26)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 - (-9)\/3)\/3. Let t(y) = y**2 + 1. Let b be t(2). Solve -b*l + 2*l + 9 = i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iimi when four letters picked without replacement from mmimimmimiiii?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14.4 - -14.7. Let h be (5 + -2 - -1) + -3 + 3. What is the nearest to -0.1 in -25, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - -1*sqrt(95)))*-1*5)\/(6*(sqrt(540)\/sqrt(12) - sqrt(5))).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(18\/(-7) + (-17325)\/(-735)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is 1964549 rounded to the nearest one thousand?\nAnswer: 1965000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -771810053 by 301.\nAnswer: -2564153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 576 and 86549072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + -22 + 1 + 33 + -18 + -15.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 903 and 80046822.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - 2. Let a(h) = -2*h - 9. Let b be a(-6). Let o = b - 4. Put -3, g, o in descending order.\nAnswer: o, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of o**2 + 0 + 1\/10*o**6 - 1\/15*o**5 + 0*o - 3\/70*o**7 + 0*o**3 + 0*o**4. Let m(j) = 0. Calculate j.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 758*j - 132. Let q(l) = -757*l + 119. Let t(b) = -5*d(b) - 4*q(b). Find the first derivative of t(k) wrt k.\nAnswer: -762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of -113*a**7\/3 - 106*a**4 + a**3\/3 - 4670*a. Find the third derivative of m(h) wrt h.\nAnswer: -94920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 2\/1307657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(2\/7)\/s*s*s*s*s**3*s**(-2\/5)\/((s\/((s\/((s*s**3*s)\/s)*s*s)\/s)*s)\/s))\/(s**(-1)*s\/((s*s**(-4\/3))\/s)*(s**(-1\/2)\/s)**34) assuming s is positive.\nAnswer: s**(5518\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.02 - -0.42. Let p = 0 - v. Let w = -18.1 + 18. Which is the smallest value?  (a) 5  (b) p  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 307059158 to the power of 1\/2, to the nearest integer?\nAnswer: 17523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/4)*q**(-1\/6))\/(q**22\/(q\/q**(1\/6))) assuming q is positive.\nAnswer: q**(-253\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.012, 0, -3\/4 in decreasing order.\nAnswer: 0.012, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.008092253 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 69 - 19. Let i(a) = -4*a**2 - 5*a - a**3 + 3*a + a. What is the remainder when k is divided by i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 7:14 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 493\/440494?\nAnswer: 493\/440494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-84)\/1)\/4)\/((126\/4)\/21).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2759\/11 - 251. Let f = -62 + 62.031. Let s = 0.469 + f. What is the closest to -1 in i, s, 13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5 = 2. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 242 and 14762?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/(-3))\/((-2)\/3). Suppose 0 = 2*i + i + s*q - 4, -5*q + 10 = -5*i. Suppose 60 = 4*j - 3*d, 2*j + 5*d + i*d - 4 = 0. Solve 5*y = j - 37 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n\/(n*n**(1\/2)*n*n)))\/n)**(-50)\/(n**1\/n*n**(-1)))**(-13) assuming n is positive.\nAnswer: n**1612","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 675277822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4279.12252 and 147.29?\nAnswer: 4426.41252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-300 + 24 - 722 - 987)*(y - y - 3*y).\nAnswer: 5955*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 i when three letters picked without replacement from wqwiigwgggdwwwq.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.05 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 168, 177, 192, 213?\n\"Answer: 3*o**2 + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23819656 and 1736.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*l - 19*l - 14, -3*l = -2*m + 29. Let g = -8\/19 + 107\/209. Which is the nearest to -0.1?  (a) g  (b) m  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, b: 3, q: 4, k: 2}. Give prob of sequence qq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 5 = c - 13, 6 = -3*c - 3*b. Suppose 0*a + c*n - 6 = -2*a, 4*n = -2*a + 4. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 111 = 3*g. Suppose 5*y = 6*z - 3*z - g, 3*y - 69 = -3*z. Suppose 56 = 6*l - 5*l. Calculate the remainder when l is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/((-4)\/95) + 15 + -6. Solve -112*g = -z*g + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -z**6\/6 - 21*z**5\/5 - 133*z**4\/4 - 109*z**3 - 167*z**2 - 120*z - 2480. What is w in b(w) = 0?\nAnswer: -12, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -139*w**2*x**3 + 1363*w**2*x**2 + 2*w**2*x + 2*w**2 - 13*w - 141*x - 51 wrt x?\nAnswer: -834*w**2*x + 2726*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -64*c**5 - 180*c**2 - 113304*c wrt c?\nAnswer: -1280*c**3 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i - 4*i - 804*i**3 + 438*i**3)*(-3 + i + 3).\nAnswer: -366*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l**4*u + 576*l**4 - 11*l**3*u - 76*l**2*u + 9*l**2 + 62*l*u + 2*u wrt l.\nAnswer: 24*l*u + 13824*l - 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3906 and 110236.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1097, -1248, -1507, -1880, -2373, -2992?\nAnswer: -3743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 17 = -4*s + 51, -b + 20 = 2*s. Let y = 150 - 40. What is the remainder when y is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57204, 57158, 57112?\nAnswer: 57066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -29 (base 11) to base 16\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - 3) + -8 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 72425.23 millilitres in litres?\nAnswer: 72.42523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -982623968 divided by -1552.\nAnswer: 633134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 11*p - 2 - 10*p - 4*p**2 - 2*p**3 + 0*p**2 + 3*p**2. Calculate g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - -33?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of f**5\/4 + 9*f**4\/4 - 29*f**3\/6 + f**2\/2 - 676*f. Find the second derivative of i(o) wrt o.\nAnswer: 30*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1343*p + 15*p**3 + 1342*p + 24*p**3 + 24*p**3 to k*p**3 + a + h*p + g*p**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 23 = 5*c, 2*o - 5 = -2*c - o. Suppose l = -l + c. Solve -5 = n - l*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of h**7\/140 + 7*h**6\/180 + h**5\/12 + h**4\/12 + 5*h**3\/3 + 1. Let x(n) be the third derivative of c(n). What is m in x(m) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 409 divided by -1180880.\nAnswer: -409\/1180880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-3))\/((-2)\/18). Suppose f = -15 - y. What are the prime factors of (-3)\/(-4) + f\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20 - -33) + (18 - 33 - 19)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -i + 4339 + 127*i**3 + i - 549*i**3 - 5304 wrt i?\nAnswer: -1266*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 4*r + 0*r = 1, 1 = -3*x + 5*r. Let k be (-1)\/(-12) + x\/(-9). Does 0.2 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 504 - 504. Suppose 0*s - 2*s = -8. Suppose -12 = -s*m - o. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, g: 3, f: 1, n: 6, d: 2, m: 6}. Give prob of picking 2 m and 1 q.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 2*t + 15 = 0. Suppose 5*u + 35 = h, -4*u = -t*h + 7*h - 20. Let z = 5 - 1. Solve 2*k - h = z*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178 is divided by 49.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 + 12. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15299123 to the nearest integer?\nAnswer: 3911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1028 (base 10) in base 4?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)\/(sqrt(20)\/sqrt(4)) + -3 + sqrt(13)*3)*6)**2 + 4.\nAnswer: -864*sqrt(13) + 7816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k**2 + 9*k + 44. Give f(13).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -s - 2*t, -s + t = 2*t - 15. What is the remainder when 42 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*s + 2*s + s)*(1 - 2 - 1 + (8 + 6 - 29)*(2 - 4 + 1)) as k*s + r and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -32*t + 48 + 112 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/8  (b) -0.1  (c) 7\/6  (d) -3\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3 and (110\/40)\/((-1)\/(-4)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 6. Suppose -58 = -c + 3*z, -2*z - s*z - 267 = -4*c. Is 11 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 {t: 4, h: 3, r: 7}. Give prob of picking 1 t and 2 h.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 13*a**2 - 30*a - 5. Let s be z(-15). Which is bigger: s or -14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -42 - 39. Let l = 150 + -140. What is the remainder when p is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1278, -2, 4, -1, 1, 3 in decreasing order.\nAnswer: 1278, 4, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 5*h = 0, 2 + 1 = l - 2*h. Calculate the common denominator of (-9)\/(-42)*l*6 and (2 + 18\/(-8))*-126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6141 and 407175.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**1)**(-47)\/(m\/m**5*m**(-3)*m))\/((m**0*m*m**(-6))\/((m\/(m*m**0))\/m)**(1\/6)) assuming m is positive.\nAnswer: m**(-217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 5*s + z - 13, -32 = -5*s + 4*z. Suppose -3*o - 62399998 = u, s*u - 104000010 = 5*o - u. Round o to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 67709316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 8, q: 2, y: 2}. Give prob of sequence jyyj.\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1.4 - -89\nAnswer: 90.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.14 + -3.86. Which is the nearest to -1?  (a) -2\/7  (b) 3\/8  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 204859040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttoztktktsotkok. Give prob of picking 2 t and 1 k.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.343827 to three decimal places.\nAnswer: -0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 59876836 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (8*50\/1040)\/((-696)\/1508)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 10:29 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7531 + -7709. What is the fourth smallest value in r, 0.3, -0.05, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of -n**6\/6 - 123*n**5\/20 - 257*n**4\/6 + 99*n. What is the third derivative of c(i) wrt i?\nAnswer: -120*i - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -46160, -46159, -46158, -46157?\n\"Answer: j - 46161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-527 + -3)\/((-3)\/(-210) - 0). Round m to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - 0) + 16 + -39 + 14 + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.13 and -58.4?\nAnswer: 58.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -3*q**3 + 13*q**2 + 22*q - 3. Let x be y(-2). Solve x - 15 = -7*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 864 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10781871 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19691173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-2*sqrt(7) + (sqrt(7) + (sqrt(84)*-3)\/sqrt(12))**2.\nAnswer: -10*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -11*r - 9 + 9 + 12*r. Let h(u) be the third derivative of -u**8\/1344 - u**5\/10 + u**2. Let l(y) be the third derivative of h(y). What is l(b(s))?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2576 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2*1 - (-5 + -1). Suppose i - 11 = -4*o, -d*o + 38 = -2*i + 12. Suppose 0 = -2*t + 6*t + o. Which is smaller: t or -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 0*b + 3 = b, -2*h + 4*b + 6 = 0. Solve 3*f = 4 - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1042 minus -58.753?\nAnswer: -983.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17\/6 - 7\/2. Let l = 0.51 + -0.61. Which is the closest to l?  (a) 5  (b) x  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/2)\/1)\/((-39)\/195)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 368826510 rounded to the nearest one million?\nAnswer: 369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*k**3 - k**3 - 2*k**3)*(-1 + 4 - 2) + (3 - 7*k - 3)*(2*k**2 - 5*k**2 + 0*k**2) - 2*k**3 + 0 + 0.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -7*1 + -7 + 6. Let p = 13 + f. Suppose -3*v = -p*s + 593, -2*v = 4*s - v - 471. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 o when three letters picked without replacement from yyoyoyyoooooyoyoooo.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 1967 divide 119214854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by 17?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**2 + g - 1. Let w(p) = 2*p**2 + 5*p + 2 - p**2 - 2*p**2. Let i be w(5). Is r(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1620)*1)\/(-1*sqrt(100)) + (sqrt(80)*-1 - sqrt(45)\/(1*sqrt(9)))**2*1.\nAnswer: -9*sqrt(5)\/5 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q**5\/3 + 15*q**4 - 482*q**3\/3 - 574*q**2\/3 + 161*q + 529\/3 = 0. Calculate q.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (3 - (6 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 13651 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/2*8\/(-15). Let o = -4.0292 + 0.0292. What is the nearest to a in -5, -1\/3, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 913063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 2\/9 + (-32)\/(-18). Suppose l - i*l - 54 = -4*q, -3*q - 3*l = -18. Solve 9 + q = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + sqrt(125) + 0).\nAnswer: -2 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3035902 and 7664.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 290*u**3 - 1471*u**3 - 554*u**3.\nAnswer: -1735*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 227291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**2 - 4*z**2 + 0*z**2)*(2 + 2*z**3 + 1 + 2).\nAnswer: -2*z**5 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -72 divided by 8726812\nAnswer: -18\/2181703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32 + -31 + -1 + (-2 - -3) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 617770 and 679547.\nAnswer: 6795470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 25*m - 35. Let a be h(-23). Let q(x) be the first derivative of x**3\/3 - 5*x**2 - 15*x + 8. What is q(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 PM and 7:46 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 17 = -5*x - 0*u, -4*x - 5*u - 17 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.17 - 7.17. Let g = -4 - h. Let m = -1168\/9 + 130. Sort g, -0.3, m in increasing order.\nAnswer: -0.3, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(-4) + 1\/(-4). Let c(r) = -102*r**o + 31*r**2 + 63*r**2. Let d(g) be the third derivative of -7*g**5\/60 + 3*g**2. Calculate d(c(p)).\nAnswer: -448*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -15 - -5665?\nAnswer: 5650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 24. Let w = 20721\/51790 - 1\/10358. Which is the biggest value?  (a) 0.1  (b) f  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 721\/49 + (-2)\/(-7). Suppose 4*q - q - p = 0. Let b(o) = o**2 - o + 5. What is the remainder when 72 is divided by b(q)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/(10\/4) - 7*-6. Suppose -c*u = -46*u - 10. Put u, 2, 3, 5 in decreasing order.\nAnswer: 5, 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02792555 to 4 dps.\nAnswer: -0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of 49*o**4\/12 + 25*o**3\/3 + 3*o - 10. What is the second derivative of w(q) wrt q?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 510cd60 + -5?\nAnswer: 510cd5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 4*m**3 - m. Let h be u(1). Suppose h + 4 = g. Suppose g*x - 10*x + 96 = 0. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -418228 (base 10) in base 14?\nAnswer: -ac5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2613636 + -3957857. Let d = 694221 + l. Round d to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 - u**2 + u. Let s be h(1). Let g = s - 2. Let l be (182503 + g)*4\/(-10). What is l rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 3*c = 10, -3*r = -5*c - 56 + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 36*h + 1. Let l(a) = 78*a + 8. Let s(g) = -l(g) + 2*x(g). Let f(p) = -p**2 - 8*p - 3. Let j be f(-9). Let w = -7 - j. What is s(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from hpppphh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 140708 times -0.3\nAnswer: -42212.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110 - -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 11:40 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 2) + (-2 - (-4 + 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -262 = -15*z - 892. Which is the nearest to -2?  (a) -1  (b) z  (c) 0  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*t - 3*u, 5*t + 8 = t - 3*u. Suppose 5*g + 14 = -t. What is the units digit of (g - (-164)\/(-20))\/(2\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -82*5\/55 + 8?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*r - 204*r = -180*r + 290 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 451458907.8 to the nearest 10000.\nAnswer: 451460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -93*m + 9483. Determine u(102).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11813895 and 765.\nAnswer: 11813895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -225507*g**2 + 233842*g.\nAnswer: -451014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13a3 (base 11) in base 15?\nAnswer: -807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4e3c + -ad9?\nAnswer: 4353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12486 less than or equal to 12485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68 + -65. Let a(c) be the first derivative of 0*c**2 + 1\/2*c**n + 3\/10*c**5 + 0*c + 3\/4*c**4 + 1. Factor a(j).\nAnswer: 3*j**2*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1258 and 3034.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 191*l - 723. Is f(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(49)\/(sqrt(56)\/(sqrt(8)*2)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13579 or -13519?\nAnswer: -13519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -258305 + 5?\nAnswer: -258300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*g - 91*g + 60*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 4*r - c = -19743, 4*c = 4*r - 19748. Let -3*n**2 - n**4 - 4935*n + 3*n**3 - 4 + r*n + 4 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16624277 + -1?\nAnswer: -16624300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.001 - 4.999. Let t be (-15)\/(-25) - (-2)\/(-5). Let z be 1*(-5 - 18\/(-4)). Which is the third smallest value?  (a) z  (b) r  (c) 2  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/12 and -107\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3727031 times -0.16\nAnswer: 596324.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4ba4a14 (base 12) in base 14?\nAnswer: 1d9ac24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -59523.3 to the nearest 100.\nAnswer: -59500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 46779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -54, 89, -198 in decreasing order.\nAnswer: 89, 0.1, -54, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*s**2 - 10*s**3 - 34*s**2.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*s + 80 = -3*s. Sort 7, 2, s in decreasing order.\nAnswer: 7, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of 65*s**8\/112 + s**4\/12 - 74*s**3\/3 - 3*s**2 + 7. Find the second derivative of y(g) wrt g.\nAnswer: 3900*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -6*v - 1. What is the tens digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 212 + 1632. Suppose 6*d = 97 + g. What are the prime factors of d?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - x**2 + 3*x - 1. Suppose p + 2 = -2*n + 5*p, -p + 2 = 0. Is 13 a factor of o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 AM and 6:46 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 196b3 (base 12) in base 2?\nAnswer: 1001000110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2200673*q**2 - 3402364 wrt q.\nAnswer: -4401346*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 12:35 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i**3 - 5*i**2 - 2*i + 4. Let x be r(-3). Suppose -86 = 5*j - w, -x = 3*j - 3*w + w. Let y be 2\/9 - 41\/j. Is y < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {v: 1, p: 1, m: 11, r: 1, i: 3, g: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11322 + -11110?\nAnswer: -23032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 340116, 1360514, 3061178, 5442108, 8503304?\nAnswer: 12244766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 - 7*l**2 - l + 1. Let u be x(5). Let q be 24\/u + (-2)\/(-3). Are q and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/5)\/f**(-4))\/(f**2\/f**6))**(4\/29) assuming f is positive.\nAnswer: f**(152\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -0 - 2. Let f = -100 - -104. Which is the nearest to 0.3?  (a) f  (b) -0.5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -18, 5, -59, -4 in decreasing order.\nAnswer: 5, -4, -5, -18, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 691 by 91.\nAnswer: 691\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 413 and 4779?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z**6*z)\/z)\/z)\/((z*z\/(z\/(z\/z**(-2\/7))))\/z))\/(z*z**(-2\/7)*z*z\/(z*z**(-1))) assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*h + 3999 = 4116. What is the nearest to 4 in 0.4, h, -1, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1\/2  (b) 0.592  (c) 1832\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*b = -47*b - 5*c, 0 = -4*b + 3*c - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2840 + -85?\nAnswer: -28c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3693 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: Calculate the smallest common multiple of (4 - (3 + 5\/10))*36 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -1385  (b) -4  (c) -18  (d) 2\/3  (e) 0.02  (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 117 = z, -4*z - 62 = 3*u - 5*u. Let o = -18 + u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.829054mg to micrograms.\nAnswer: 829.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21973909?\nAnswer: 29, 41, 18481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35391\/34 - 1041. Let k(r) = r**3 + 22*r**2 + 19*r - 41. Let q be k(-21). Is q >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*z**3 - 3264*z**2\/11 - 866*z\/11 + 60\/11 = 0.\nAnswer: -2, -3\/8, 5\/88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 14611484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 2*z + 2. Let q be h(2). Suppose 2*u = 15*u - 39. What is the highest common divisor of u and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*(-5 - (3 + -17 + 8)). Let x(g) be the third derivative of -2*g**2 + 0 - 1\/15*g**5 + 0*g - 2\/3*g**4 - r*g**3. Factor x(d).\nAnswer: -4*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -83 + 90. Suppose -f*q + 5*q + 4396 = 0. Suppose 0 = 2*w - 80 - q. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -3*h - 1 + 7*h**2 + 3*h - 18*h**2. Suppose 9 + 10 = -7*l - 4*f, -3*l - 4*f - 15 = 0. Determine a(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**10*y*y)\/y*y*y*y*y\/(y*y\/(y*y**10))*((y**2\/y)\/y*y)\/(y*y*(y*y\/(y*y\/(y*y**(1\/3))))\/y) assuming y is positive.\nAnswer: y**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -127, -150, -173, -190, -195, -182, -145, -78?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.01151, 0.206, -1.6?\nAnswer: -0.01151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3, 8, 27, 66, 131?\n\"Answer: l**3 + l**2 - 5*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*u = 26*u - 488. Solve -2*y + 6 = 0, -u*k = 48*y - 44*y + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/3)*v*(v\/(v\/(v\/v**(-5)*v)))\/v*(v\/(v*v**(-2\/5)*v))**(-14\/11))\/((v\/(v*v**(-1\/2)*v))**(13\/3))**(-43) assuming v is positive.\nAnswer: v**(-9321\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 15*l + 11. Suppose -10 = -x + 13. Let k = x - 38. Is p(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 36 = 3. Calculate the remainder when 43 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 8*m**2 - 3*m - 20. Let t be x(-8). Find the third derivative of 16*s**6 + 24*s**2 - 303*s**4 + 303*s**t wrt s.\nAnswer: 1920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -1bab?\nAnswer: 1bae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/((w\/w**1)\/w))**7\/((w**1\/w)\/w)**(2\/25)*((w*w*(w\/w**5*w)\/w)\/w**(-5))**14 assuming w is positive.\nAnswer: w**(1402\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1189167 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 3:59 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-10))\/((i*i\/((i\/(i**(-5\/3)\/i))\/i*i*i))\/i)*(i**5)**(-1\/25) assuming i is positive.\nAnswer: i**(217\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 724671 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 507*i**3 - 7059*i**2 + 27720*i - 21168 = 0. What is i?\nAnswer: 1, 84\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 8931.621689 and 0.03?\nAnswer: 8931.591689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1567 + 1568. Solve 2*b = -4*x + 2, 4*b - h = -5*x + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 PM and 12:43 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of v**2 + 5*v**2 + 2*v - v + v wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 - 18. Let b be 1\/(-4) - (-45999)\/i. What is b rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 184*f**3 - 5 - 550*f**3 + 25 + 2.\nAnswer: -734*f**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -6 + 0*m**2 + 18 + 26*m - m**2 - 27*m. Let w be l(-4). Suppose 4*h + h = v - 78, -2*h - 5*v - 15 = w. Round h to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00015695353 to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xg when two letters picked without replacement from cggxaagjfxfg?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*r - 3*q - 22 = 66*r - 5*q, 0 = 15*r + 3*q + 45 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is eight fifteenths of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 33*w**2 - 72*w - 68. Let k be c(-35). Suppose 2*l = 5*s - 19, 5*l + 45 = 5*s + 20. Solve -4\/11*d - 2\/11 + 4\/11*d**s + 2\/11*d**4 + 0*d**k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + 4*q + q**3)*(1 - 4 + 1)*(2 + 5 - 5)*(4 + 2 + 3).\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -4*d**2 + 82608*d - 426505104 = 0.\nAnswer: 10326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10023840 and 24768.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 136 + -322?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 greater than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 59600 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -1.33906584.\nAnswer: 0.267813168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 5\/2  (b) -1\/5  (c) 2\/9  (d) -608  (e) 326\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1064 - 1064 - 355*y**5 + (-2*y**2 + y**5 + 2*y**2)*(-2 + 3 + 1))*(-5 - 1 + 4)*(0 - 2 + 3).\nAnswer: 706*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + -20 + -19 + (11 - 1) + -61?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/2*(-1)\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 8*i**2 + 14*i + 2. Give p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -43, -83, -123, -163, -203, -243?\n\"Answer: -40*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**3*g**3 + 7*f**3*g**2*x - f**3*g*x + f**3*g + 91*f**2*g**3*x + 3*g wrt g.\nAnswer: 12*f**3 + 546*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wpwwnngwwwiwwwgngwn. What is prob of picking 1 n and 1 i?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42*b**3*n**3 + 3*b**2*n + 4*n**3 - 4*n**2 wrt b?\nAnswer: -252*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -2122202122010?\nAnswer: 2122202121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000006552 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -117*w + 464*w + 834*w + 12*w + 130*w in the form l + x*w and give x.\nAnswer: 1323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2107877114 and 0.4.\nAnswer: 2107877114.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 76\/24 + 2\/(-12). Suppose 4*r - 10 = 2. Suppose -5*u + 24 = -2*d, -5*u + r*u + 16 = -4*d. Solve j + u*v = 17, j = -m*j - v + 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 8410, 9607, 11602, 14395?\n\"Answer: 399*a**2 + 8011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 63082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uul when three letters picked without replacement from {l: 1, u: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 55*v**2 + 54*v + 99. What is w(56)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yayytyytyayyyaatt. What is prob of picking 2 y?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t + 36. Let p(g) = g**3 - 5*g**2 - 9*g + 6. Let d be p(6). Let v be b(d). Solve 3*k - h = -8, -h + 9 = -4*k - v*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.92446364 rounded to three dps?\nAnswer: 15.924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3970812254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 482298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4274382 and 14655024.\nAnswer: 102585168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-2035404)\/112)\/(-41) + (-6)\/(-8) and 66.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 68 + -8 + -5 + 8. Suppose d - 180 = -4*r, -4*d - x - 97 = -4*r. What is the remainder when r is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2781 equal to 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(1\/2))**(-3))**48\/((((r*r**(2\/25)*r*r)\/r)\/(r\/r**(-6)))\/(r**2\/r*(r\/(r\/r**5))\/r)) assuming r is positive.\nAnswer: r**(-5152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 331479 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 3\/18 + 11\/44 + 339\/(-900)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 26*z**2 - 19*z**2 + 7*z - z - 6*z - z. Let y(n) = 8*n**2 - n. Calculate -6*s(k) + 5*y(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*h + h. Let o be h + 27\/33 - (-361)\/(-11). Let z = 49 + o. Solve z = 2*b + 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + -17. Suppose -q - 6 = -w*q + 2*t, q + 2 = -2*t. Calculate the greatest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 247*c**3 - 292*c**3 + 167*c**3.\nAnswer: 122*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 30*h**3 + 25*h - 25. Let c = -81 + 86. Let p(a) = 6 + 5 + a + a**3 - 17 + c. Calculate k(r) - 25*p(r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.005 or -17.054?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f + 8. Let b be g(4). Suppose -7 = -5*q + 18. Let z be (6\/(-9))\/(1\/3). Sort z, b, q in decreasing order.\nAnswer: q, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1144213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from symsyysayjyhmyssy.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(1\/17))\/(z*z**(5\/7)))**(16\/7) assuming z is positive.\nAnswer: z**(-1472\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 624610?\nAnswer: 187383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17.631*-19.\nAnswer: 334.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63556258 divided by 31778129.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-33 - -23) - (-31)\/3?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 2*k + k = 29, -3*q - 3*k = -33. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-663)\/(-75) + -2 - 7*(-8 + 9). Sort 0, -11, k, -4 in ascending order.\nAnswer: -11, -4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 7050 - 3524 + 3*c**2 - 8*c**2 - 3526. Let b(n) = 2*n**2 - 44. What is b(l(j))?\nAnswer: 50*j**4 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (105\/(-6))\/((-2597)\/8904)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 70472106, 140944209, 211416314, 281888421, 352360530?\n\"Answer: k**2 + 70472100*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.25 + -70.25. Let t = -68.5 - g. Let h be (2\/(-24))\/((-9)\/24). Which is the closest to 2?  (a) h  (b) 0  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qfzfu. Give prob of picking 1 u and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-696128)\/(-108770)*20\/(-2)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -4*j + 52, y = -0 - 4. Let c(s) = -s + 5. What is the smallest common multiple of c(-7) and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2802 - -2949. Calculate the highest common factor of 91 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11446*g**3*k + 3904*g**3 - 4*g*k + 754*g - 145*k + 15 wrt g.\nAnswer: 68676*g*k + 23424*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -84, -102, -118, -132, -144, -154?\n\"Answer: z**2 - 21*z - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10\/7, 5\/224, -2\/5, 1, 0, 121?\nAnswer: 5\/224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lczldqvdvdd. Give prob of sequence vcv.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -4 - 3*w - 9 - 2*w - w**2 + 4*w**2. Let k(d) = -d**2 + d + 1. Let y(i) = -f(i) - 4*k(i). Does 9 divide y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 (base 11) in base 3?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -0*m - 8. Suppose x + 4*b - 12 = 0, x - m*b + 12 = 5*x. Solve 5*n + 0*n + 20 = x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 40*s - 85. Is i(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -20*(-18)\/675*3\/2. Which is the closest to -5?  (a) -2\/9  (b) -0.05  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-2\/15)*j)**(-38)\/(j*j**(2\/25)*j*j*j*j*(j\/j**(1\/8))\/j) assuming j is positive.\nAnswer: j**(-45533\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -64*k - 121 + 11 + 67*k. Suppose 10 = -4*n + 5*x, 5*n + 4 = -0*x + 2*x. Let a be h(n). What is a rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -142, -266, -382, -490?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 6*k**2 - 6*k + 10. Let m be n(-7). Factor -3*z**4 + 2*z**2 + 2*z**2 + 4*z**5 - m*z**3 - z**2 - z**5.\nAnswer: 3*z**2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4114, -8218, -12310, -16384, -20434, -24454, -28438?\nAnswer: -32380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 - 9*t - 8. Let u be h(9). Let g = u + 13. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 275653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -10285 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from nicbd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v, 1 e, and 1 p when four letters picked without replacement from {h: 1, v: 4, s: 2, i: 2, e: 1, p: 7}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 11111022 (base 3) to base 15\nAnswer: e85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of (-91)\/65 + 6651\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.04 + -0.15. Let l = z - 0.19. Which is the nearest to -2?  (a) l  (b) 4  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/(-30))\/(2\/(-3)). Let u = -0.19 - -0.49. Which is the smallest value?  (a) 2\/11  (b) s  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15\/75 + 48\/10. Let v(m) = -m**2 + 18*m - 52. Let w be v(c). Solve w*r - 8*r - 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 7*x = -2*q - 6914, 2 = -x. Is 22 a factor of 6*q\/(-135) + 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106507830 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 133210121 (base 4) to base 15\nAnswer: 284a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w**3 + 0*w**3 + 4*w**3 + (w**2 - 2*w**2 - w**2)*(-w + 0*w - w) - 6 + 6 - 2*w**3 to t*w**3 + c + p*w + n*w**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of -5 + 0 + 0 + 8 - v. Let z(d) = -d - 3. Let w(o) = -6*b(o) + z(o). What is the first derivative of w(p) wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4476\/7 - -647. Suppose -4*u = -5*l + 44, 0*u - 3*l = 2*u. Calculate the common denominator of (u + 4)*(-12)\/10 and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o + 1 - 5. Let x(b) = b**2 - 2*b + 3. Let u be x(o). Let w be -7 - (-1)\/(u\/3). Is w > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3726 divided by -138?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3*1*(-65)\/(-195)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 107*k + 357 + 6*k**2 + 427 + 20*k**3 - 57*k - 50*k wrt k?\nAnswer: 60*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84281770 divided by -83530.\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1308183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254*w - 297*w = -43 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*a + 143*a - 19*a - 20*a to the form c*a + x and give c.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 47235\/543 + (-7528)\/(-681284)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hyyh when four letters picked without replacement from {y: 8, h: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 57*f**3*j**2 + 44*f**3*j*u - 2*f**3*j - f**2*j**2 - f**2 + 2704*f*j**2 - 5*f*j - 78*f*u - 150*j**2*u wrt u.\nAnswer: 44*f**3*j - 78*f - 150*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 1 - 1)*(124 - 437 + 122)*(-3 + 3 - 2*c).\nAnswer: 382*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -38183*k. Let w(a) = a + 2. Determine b(w(l)).\nAnswer: -38183*l - 76366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-127*(-3)\/9)\/(-6 + 2) and 77\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 16, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 - 1472*c - 532290. Calculate m(-833).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6998, -7001, -7018, -7055, -7118, -7213?\nAnswer: -7346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1216599.\nAnswer: 3, 43, 9431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 3*v + 2*r - 12, 0 = -2*v + 5*r - 9. Suppose 10*l**2 + v*l**2 + 20*l - 2 - 8*l**2 + 22 = 0. Calculate l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 3, k: 4, d: 6}. What is prob of picking 1 k, 1 m, and 2 d?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.3, -1\/8, -0.13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -1, 2, 58 in descending order.\nAnswer: 58, 6, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211102 (base 4) to base 11.\nAnswer: 187a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -2. Let o be (-2)\/3 + (-16)\/m. Determine s, given that 2*s - 2*s - 2*s**4 + 2*s**o - 2*s**3 + 2*s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-3))\/(7*(-7)\/(3675\/25))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 25806 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 2 + 6 + 3 + 113*p.\nAnswer: 113*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k**2 - 5*k**2 + 3*k**2)*(2 + 25*k**2 + 1810*k**3 - 1809*k**3 + 13*k**2).\nAnswer: -6*k**5 - 228*k**4 - 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + 5*u - 9512, u = -5*m - 3*u - 15915. Let c = -2243 - m. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -513841\/28 - -18349. Find the common denominator of (-242)\/(-12) - (-9 - (0 - 4)) and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 17\/(-5) + 4\/10. Let l = d + 20. What is the remainder when 49 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28754194 is divided by 636?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3163 = 2*z - 5*a, 3*z + 6*a - 4682 = a. Let y = 7186 - z. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvppghvs. Give prob of picking 1 g, 1 p, and 2 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*u + 144*u = 1, 4*u = 2*k - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.5  (b) -2  (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -130363 + 1033?\nAnswer: -127330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-20) + (106\/(-60) - -2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -4) + 25 + -26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-10))\/((-7)\/(210\/(-27)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 140820 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 57, -157, 0, 9, -65 in decreasing order.\nAnswer: 57, 9, 0, -65, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 3*a**3 - 31*a**2 - 19*a + 170. Give u(11).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/(-3))\/(84456\/5589)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/19 + 121744*v\/19 - 1711864.\nAnswer: 2*(v - 266)*(v + 61138)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13473*i**2 + 26949*i**2 + 2*i**3 - 13476*i**2 + 18 + 19*i**3.\nAnswer: 21*i**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1593, -1591, -1591, -1593, -1597?\n\"Answer: -g**2 + 5*g - 1597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + 17*f**2 + 19*f + 45. Determine g(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.1  (b) -1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in fourty-two fifths of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10.687 + 3.313. Let k = 4 + -4. Sort b, -3, k.\nAnswer: -3, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of -4*h**7\/21 + 7*h**3\/6 - 2*h. Find the second derivative of d(s) wrt s.\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -135.494 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - n + 5. Let s be k(0). Let j = -10 + s. Sort -2, j, -1 in increasing order.\nAnswer: j, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7575 (base 13) to base 14\nAnswer: -5d3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nniiqiiwvq. What is prob of picking 1 q and 3 i?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-15 + 14)\/(2\/(-6)). List the prime factors of (138\/8)\/(s\/12).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -51 - -276. Suppose n = 0, -15*m - n = -18*m + h. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5985 and 5159735?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 34, -997, -2706, -5087, -8134, -11841?\n\"Answer: o**3 - 345*o**2 - 3*o + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -68*a*i**2 - 4*a*n + i**2 - 303*i - n + 3 with respect to a.\nAnswer: -68*i**2 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -6*l**2. Let g(h) be the second derivative of h**3\/2 + 17*h. Give g(x(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 PM and 10:03 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.69 + 0.49. Let y = m + -1.7. What is y rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16 and 144251056?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ejejejpceeeejljcee. What is prob of sequence je?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-10))\/(5\/50). Solve -v - 4*m = -4, -5*m - 1 + 6 = q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.11 from -34746570573.2.\nAnswer: -34746570573.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (c + c + 0*c)*(417 + 136*c**3 - 417) to the form t*c + j*c**3 + q*c**4 + s + x*c**2 and give q.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.11 + 1.11. Let u = -2 + 1.9. Which is the nearest to o?  (a) -3\/2  (b) 0  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -58*d - 1496. Give w(-26).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 1\/2606785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 200 + 246 - 146 + 6*i**2 - 5*i**2 to p*i + z*i**2 + q and give q.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*l - 1091 - 29. Is 28 a factor of (l\/(-6))\/((-10)\/(-180))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 2, 1, 3, 36, 374 in decreasing order.\nAnswer: 374, 36, 3, 2, 1, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-6))\/((-1538)\/2307)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101110 (base 2) in base 3?\nAnswer: -11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-270)\/(-81))\/(5\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/3))**(-8))**15\/((o**(-1)*o)**(-18\/5))**(-5\/12) assuming o is positive.\nAnswer: o**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**1\/l)\/l)\/l)**(31\/5)*l**(-6\/13)*l**(-8) assuming l is positive.\nAnswer: l**(-1356\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 140\/42*11\/((-220)\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/1 - (-1 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 2*s**2 - 5*s - 2. Let k be 28\/21*(-21)\/(-2). Let t be (-38)\/k + (-10)\/35. What is the least common multiple of a(t) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2261*a. Let q(i) = 3*i**2 + 2*i. Calculate u(q(n)).\nAnswer: -6783*n**2 - 4522*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2061*g + 344*g + 259080 = 2601*g for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 419515, 838985, 1258455, 1677925, 2097395?\n\"Answer: 419470*z + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13460528*x**2 - 20267584*x.\nAnswer: -26921056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-2)*-2*48\/(-80)*5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrnrrsrajrnnjsnnns. What is prob of sequence rn?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -573 by 191.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116 and 23462914.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2236527013 to the power of 1\/2, to the nearest integer?\nAnswer: 47292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43588 divided by -3.\nAnswer: 43588\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 78\/5 + -287\/20. Let y = 0.2 + 2.8. What is the nearest to -1 in v, y, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22057301 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, l: 3}. Give prob of picking 1 l and 1 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c. Let i(w) = -54*w**2 + 457*w - 83*w**2 + 454*w - 913*w - 33*w**2. What is h(i(z))?\nAnswer: -510*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -4*h - 4. Let d = 4 - h. Suppose -k + 12 = 3*k. Solve 2*q - k = d*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 310586648*a**2*s**2 + 6602*s**2 - 2932 with respect to a.\nAnswer: 621173296*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115137 is divided by 43?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 264 = 3*p - 219, 0 = 4*p + 5*y + 24. Sort p, 2\/5, -2\/7.\nAnswer: p, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 40 - 46) + 2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 15*((-176)\/(-24) + -8)*68\/170\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 5*j - 11. Let f(p) = 4*p - 12. Let a(y) = -6*f(y) + 5*z(y). Let n be a(-11). Solve -n - 2 = -2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 + 8*x**2 - 15*x - 1. Calculate d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 5*i + 25 = 0, 4*i + 137 = 117 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*(1 + (-4)\/8). Let d be 5*((-116)\/20)\/b. Let a = d - -75. Is a a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.6 * -17782.\nAnswer: 28451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 516014 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + (-13 - -2) + 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of 7*b**4\/6 + 5*b**3\/6 - 7*b**2\/2 + 3*b. What are the prime factors of g(3)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*i**2 + 12099*i - 1 - 24202*i + 12102*i + 4*i**3 in the form l*i**2 + c + o*i**3 + j*i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 11) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*q**4 - 24*q**3 + 7*q**2 + 24*q + 9.\nAnswer: -(q - 1)*(q + 1)*(4*q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1178\/3 - 400. Find the common denominator of 0 - 3 - (248\/12)\/(-1) and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 3 - 3)*(5*a**3 - 3*a**3 + 2*a**3) + 44*a**4 + 18*a**4 + 20*a**4.\nAnswer: 86*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -1756*v**2 + v. Let s(l) = 926 - 310 - 315 - 301 - l. Give b(s(d)).\nAnswer: -1756*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -1454676*o**2. Let v(t) = t. Give w(v(r)).\nAnswer: -1454676*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -5\/39, 5\/2, 2\/5 in increasing order.\nAnswer: -1\/4, -5\/39, 2\/5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -9*u - 52. Let a be y(-6). Let p(d) be the first derivative of -a*d - 3\/2*d**2 + 1 - 1\/3*d**3. Determine o so that p(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 831113.2 litres?\nAnswer: 831113200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**2 - q**2 - 3*q**2)*(-6*q**3 + 32 - 32) - 4*q**5 + 3*q**5 - q**5.\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 9*u**2 - 31*u + 193. What is j(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29566998*m**3*v + 36*m**2*v - m**2 - m*v - 3*m + v + 3302 wrt m.\nAnswer: -177401988*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25305382?\nAnswer: 2, 23, 550117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 947483152?\nAnswer: 2, 7, 11, 47, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -9. Suppose k - 5*k + 68 = 2*u, 0 = -c*u + 2*k + 206. List the prime factors of u + 0\/(3 - 6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of u**6\/120 + 2*u**5\/15 - u**4\/24 - 5*u**3\/3 + 10*u**2. What is the lowest common multiple of 14 and j(-7)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - 30\/(-16))*(4 - 6). Which is the fourth biggest value?  (a) 6  (b) 2  (c) r  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2*z = 46, 5*i - 52 - 160 = z. What is the common denominator of 59\/7 and 2\/(-7) + 425\/i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = 99*s - 194 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 75*g - 77*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 1656661068.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -505 or -522?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65814 is divided by 186?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -2*p - 126000. What is p rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31.2 + -0.3. Let x = -22 - i. Let y = x - 9. Sort 1, y, -3\/5 in descending order.\nAnswer: 1, y, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(2\/29)*q)\/(q*q\/(q*q*q**(6\/5)\/q*q)*q) assuming q is positive.\nAnswer: q**(329\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.263 + 114.737. Let w = -115.99 + j. What is w rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -38, -0.4, 0.0326, 15, 1\/4, 2 in ascending order.\nAnswer: -38, -0.4, 0.0326, 1\/4, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) -974  (c) 1183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -25*b. Let z(k) = -k**2 - 7*k + 7. Let q(x) = -x + 1. Let u(d) = -14*q(d) + 2*z(d). Determine h(u(m)).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -c - 2119, 1978 = 4*b + 9*c - 2293. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 396.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -4*d - 788, 0*v - v - 5*d = -167. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.7796 rounded to two decimal places?\nAnswer: 15.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 673.23 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 194809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -56640 plus 723.3?\nAnswer: -55916.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 PM and 9:17 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 87174, 87164, 87154, 87144, 87134?\n\"Answer: -10*h + 87184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6860185 is divided by 203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 3*g + 3. Let y be s(-3). What are the prime factors of 4081\/21 - y\/(10 - 1)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/279, -0.015, -6, -22 in descending order.\nAnswer: -2\/279, -0.015, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -5, 14, -0.3, -4.18, 31\/5, -2\/7, 5?\nAnswer: -4.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/11, 1\/6, 229, 1\/36?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1048 is divided by 132.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2616 (base 7) to base 10\nAnswer: -993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 46773*l**5 + 109*l**4 + 5795707*l**2?\nAnswer: 2806380*l**2 + 2616*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 106 = -5*n - 40, -50 = -4*n + 3*t. Suppose -5*g = 2*b + 3, 3*b = 2*b - 5*g - n. Calculate the greatest common factor of b and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n - 172 = 279. What is the highest common divisor of n and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of a**3 - 2*a**2 - 2*a + 21. Let l be r(2). Suppose 5*d - 48 = l*d. Calculate the remainder when 61 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -5, -16, 1, 63\/4, 19, -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37053 + -36956. Let j be 11\/(-2*(-2)\/36). Is j at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -0.052, 199, -18\/17?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (929 - 461 - 383 + l)*(2*l**4 + 0*l**4 - 3*l**4 + (-5*l + l + 2*l)*(-l**3 + l**3 + l**3) + 3*l**4 - 4*l**4 - l**4).\nAnswer: -5*l**5 - 425*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, h: 2, s: 2}. Give prob of sequence sgh.\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 3*i**2 + 3*i + 2. Let r be p(-2). Suppose r = x - 6 - 10. What is the remainder when 47 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o**2 + 7*o - 457. Let b(q) = -q**2 + 3*q - 239. What is 7*b(z) - 3*i(z)?\nAnswer: -z**2 - 302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/6273470 and -47\/1408330.\nAnswer: 69008170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61417.\nAnswer: 61417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqo when three letters picked without replacement from {o: 2, q: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14*p**3 + 7*p**2 - 7*p**2)*(-p + 243 - 123 + 4*p) as o + m*p**4 + w*p + a*p**2 + x*p**3 and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1457744779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of 13380752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a - 248. Let u(w) = 6*w. What is x(u(j))?\nAnswer: 6*j - 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -42*x - 268*x - 56*x - 242*x in the form n + h*x and give h.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -136 - -246. Suppose -o - o = -g. Let z be (50\/6)\/(0 + (-25)\/(-30)). What is the highest common factor of z and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1137 + -1135. Let v(k) be the second derivative of 0*k**3 + 7\/2*k**b + 7\/12*k**4 + 2*k + 0. Find the first derivative of v(p) wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-199)\/7 + 45\/105. Let t = a - -21. Is (-30)\/t*70\/5 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1040633213?\nAnswer: 67, 15531839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/126 and -163\/630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-12 + 22) - -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6184 = -13*g + 7055. Calculate the remainder when 370 is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 12, p: 4, v: 2, s: 1}. What is prob of picking 1 v and 1 p?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.86 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9\/8 + 15\/8. Let x(b) be the second derivative of 1\/5*b**6 + 0*b**3 + 0*b**2 + 0 - 5\/14*b**7 - 1\/2*b**4 + d*b**5 + 4*b. What is f in x(f) = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.0622, -17, 7, -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -0*h. Suppose h = d - 6*d + 40. What is the remainder when 23 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q**(-1\/3)*q))**(-1))**(-36) assuming q is positive.\nAnswer: q**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16\/7*a**2 - 24\/7*a + 0 - 2\/7*a**3.\nAnswer: -2*a*(a + 2)*(a + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 - -25. Solve 7 + u = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 7*y**2 - 7. Let i(m) = -15*m**2 + 15. Let s = 4741 + -4744. Give s*i(o) - 7*v(o).\nAnswer: -4*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-8))\/((-5)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*p + 6*p - p)*(-9*p - 26 + 74 - 52) to t*p**2 + x + a*p and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 303021 - -20?\nAnswer: 303041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 7:51 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335742 is divided by 607.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 7*w + 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 6\/5  (b) 0.4  (c) -0.2  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + -1 + -10 - 135\/(-19). What is the fourth biggest value in 4, -1, f, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*z**4 - 5*z**4 + 0*z**4 + (3*z**2 - z + z)*(-2*z**2 + 4*z**2 - z**2) + 10*z**4 + 4*z**4 - 5*z**4 as x + d*z**3 + h*z + u*z**2 + v*z**4 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 - 4*k + 3. Let g be c(-4). Suppose g*z = -2*z + 15. Let i(j) = 26*j + 6. Is 14 a factor of i(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 37128286 or 37128289?\nAnswer: 37128289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 22*j**2 + 3*j + 17. Calculate x(22).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of -3*h**2\/2 + 1. Let z(d) be the first derivative of -2\/3*d**3 + 0*d + 0*d**2 - 1. Calculate a(z(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 11:01 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -2*b, 0 = 45*h - 41*h - 4*b + 28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**2 + 180*t + 1620.\nAnswer: 5*(t + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14325 is divided by 14285.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-10) + (-4)\/(-10). Let i(z) be the third derivative of z**5\/60 + z**4\/8 - 2*z**3 + z**2. Let b be i(-5). Sort 6, b, w in increasing order.\nAnswer: b, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**3 - 6002*y**2 - 4499998*y + 4506002 = 0. Calculate y.\nAnswer: -1501, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 take away -565?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b + b + 0*b - 12*b + 4*b + 4*b + (4*b - 2*b - 3*b)*(-3 + 2 + 3) - 2*b + b - 13*b to p + w*b and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20206478951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -8, 2\/9, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*(-325 + 0) - 5. What is the remainder when (-64)\/z*(1 - 216) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 1 = l. Suppose -2*t + 3*t = -5. Put -3, t, l in ascending order.\nAnswer: t, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - -21130310131221?\nAnswer: 21130310131210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*k**4 - 2*k**3 + 150271*k**2 - 10299045*k wrt k.\nAnswer: -48*k**2 - 12*k + 300542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 205 - 29*w**2 - 205 + (3*w + w - 5*w)*(-3*w + 0*w + 2*w) as f*w**2 + i + a*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/8*40\/(-135). Suppose 0 = 4*j + 16, -2*j = i - 0*i. Suppose 0 = 5*k - 2*x + 5*x - i, k + 4*x - 5 = 0. Which is greater: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 5 = 4*d - 19, 4*s - 2*d - 2 = 0. What is the least common multiple of -3 + (-93)\/(-6) + (-3)\/(-2) and (-58)\/(-7) - s\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r**2 + 10*r**2 - 2*r**2.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (9 - 5) + -6 + 0 - -1276. Suppose -5*t - 5*i = -4460, -2*t + i + 516 = -n. What are the prime factors of t?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 94 - 37. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 7:24 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1758*y**5 - y**4 - 245*y**3 + 2817608*y**2 wrt y?\nAnswer: -105480*y**2 - 24*y - 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/15)\/((-1908)\/(-2120))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -176 - -17?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-6)*((r*r*(r\/(r\/r**1))\/r)\/r)\/r)\/(r**(-1\/2)\/r*r)**(2\/87) assuming r is positive.\nAnswer: r**(-521\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 4*p + 49 = 0, 2*p = 5*p - 12. Let a be 33\/66*(1 + (-1)\/(-1)). Calculate the highest common divisor of a and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 7*x**2 - 3. Suppose -3*y = d - 42, -920*d + 30 = 3*y - 917*d. Let s(j) = -34*j**2 + 16. What is y*v(o) + 3*s(o)?\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*h + 151 - 47. Let v be (-7 - h)*-5 + 8. Let i = -0.1 - -0.2. What is the closest to i in 2, v, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 690 = 3. Calculate the remainder when r is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1091875 - -15267083\/14. Let o = m - -1376. What is the common denominator of o and (-93)\/(-18) + (-1)\/(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s**3 + 14*s**2 - 13*s + 6. Let m be b(6). Suppose 5*w - 3*x - 25 = 2*x, 3*w + 2*x = m. Solve 0 = -5*k + 4*u - 22, 0*k + w*k = u - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 145908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + sqrt(325)).\nAnswer: 6 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3*a**2 - 32*a - 51. Let u be v(-18). Let g = u - -664. What is the remainder when g is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25402.00000061551 + -25402. What is k rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 57491 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1100635*-6.15.\nAnswer: 6768905.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -47 + 51. Let h be 38 + -27 + p*1. Solve -j + h = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2+-2.34976\nAnswer: -2.54976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j**3 - 326454*j + 4*j**3 + 326454*j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2854379713 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -684\/7 + 348\/7*y - 3\/7*y**2.\nAnswer: -3*(y - 114)*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 2*s + 3*k - 0*k, -3*k = -s + 34. What is the lowest common multiple of 64 and s?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 658817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f9 + 108?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, -2, -802, 2\/17 in descending order.\nAnswer: 3\/4, 2\/17, -2, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 AM and 5:47 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*g - 5*g + 6. Let u(c) = -881*c**3 + c**2 + 9*c + 7. List the prime factors of u(g).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-5)\/(-10) + 185\/10 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1384785 to the power of 1\/2, to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/3*6\/(-4). Let c be t\/(-6) - (-11)\/(-6). What is the nearest to -0.1 in -0.5, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8158596 and 0.1.\nAnswer: -8158595.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 7) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.653208 rounded to 1 dp?\nAnswer: 92.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that r**2\/6 + 1463*r\/6 - 14830\/3 = 0.\nAnswer: -1483, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -6*q**3 - 42*q**2 - 144*q - 105. Let g(w) = -w**3 - w**2 + 1. Let p(m) = 3*g(m) - h(m). Factor p(c).\nAnswer: 3*(c + 1)*(c + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 28464 and 0.5.\nAnswer: 14232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w**3\/13 - 1242*w**2 + 60716*w + 198336\/13 = 0 for w.\nAnswer: -2066, -1\/4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -368980 * -2.2\nAnswer: 811756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13561952 to the nearest integer?\nAnswer: 3683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 79*d + 1458. Solve -16 = -4*t, d*t - 13*t - 14 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 857 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72 - -113) + -57 + 48 + 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -42 - -42.4. Put -7, k, 1, 1\/7 in ascending order.\nAnswer: -7, 1\/7, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 6*h**2 - 15*h + 6. Let l be 154\/(-14) - (1 + -6). Let m(r) = 5*r**2 - 14*r + 5. Give l*a(g) + 7*m(g).\nAnswer: -g**2 - 8*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -49?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 24*n**2 + 187*n - 3528. Calculate s(25).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 4195141.448 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 75096\/4470 + (-174)\/30\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7773493 times -0.4?\nAnswer: 3109397.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 79357, 158707, 238057, 317407, 396757, 476107?\n\"Answer: 79350*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 463554493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 137 + -136.5. Which is the nearest to -1.8?  (a) p  (b) -5  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 37 = 3*m + 2*m, -2*m - g + 13 = 0. Let n(q) = q - 5. Let r be n(7). Let z be (4 - -1)*(-1 + r). What is the highest common divisor of m and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/(-39))\/((11\/(55\/100))\/3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 235\/19 - 3669\/418. Let y = 186951\/132308 - -740\/3007. Calculate the common denominator of y and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of c**6\/120 - c**5\/15 - 23*c**4\/24 + 5*c**3\/2 + 3*c**2 + 37. Let d be f(7). Which is smaller: d or -2\/563?\nAnswer: -2\/563","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/(-30)*(-6)\/748. Let x = 43937\/3740 + m. Calculate the common denominator of x and 17\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 270*b - 16 = 3224 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (34 + -18 - -22) + 3 + -5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 AM and 11:19 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 46 (base 11) to base 16\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -59*f**2 + 3889*f + 45. Determine x(66).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -874.154 - -872. Let f = 0.154 + g. Let u = 0.1 + -0.2. Which is the fourth smallest value?  (a) f  (b) u  (c) -2\/15  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1562490440 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 divided by 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32121 (base 6) to base 3.\nAnswer: -12222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10*-1*4\/(-5). Let v = -640 - -649. Solve v*t = j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**3 + 5*v**2 - 2*v - 3. Let o be w(-5). Let u be 43\/5 - 4\/(-10). Suppose 0 = -4*d + o + u. Solve -8 = 5*g + 12, 3*m - d*g = 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 15280705465198?\nAnswer: 15280705465189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/10)\/((4104\/(-324))\/(-38)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 16385113 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 0.6, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = -4*c + 7, 3*x = -3*c + 7*c - 25 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/19616203 or 0?\nAnswer: -1\/19616203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, y: 2, j: 9, l: 4, o: 1}. Give prob of sequence oyll.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -240893 or -240892?\nAnswer: -240893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 x, and 2 r when four letters picked without replacement from {x: 1, t: 2, r: 2, e: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-5)*60\/(-408).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 146 + -77. Calculate the highest common divisor of y and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 43?\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11\/10?  (a) -3\/10  (b) -0.2  (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 484 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**3 + a - 7*a - 2*a + 2*a**4 in the form r*a**4 + u*a**3 + m*a**2 + n + h*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39377*b + 39377*b - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/2063676 and -65\/40585628.\nAnswer: 121756884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -360 divided by -5.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13.13 - 0.83. Let z = -0.1418758885 - 12.1581249215. Let t = i + z. What is t rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26493423727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of 0*q**3 + 1\/5*q**2 - 1\/10*q**4 + 0*q - 8. Determine y, given that j(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(6*(-7)\/(-126)*3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*p - 3 = -2*f, -2*p = 0. Let c = f + 2. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**0*k**(-1\/3)*k*k**(-5)\/k**(2\/11)*k*k**(1\/3)*k**2*k**2\/((((k**3*k*k)\/k*k)\/k)\/k) assuming k is positive.\nAnswer: k**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -20*o**2 - 8*o - 35. Give d(-4).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((108\/(-30))\/6)\/((-315)\/(-3500))?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*c + 18*c**4 - 1058\/5*c**2 + 0 + 2\/5*c**5 + 966\/5*c**3.\nAnswer: 2*c**2*(c - 1)*(c + 23)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 333640 is divided by 56?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**4 - 6*c**3 - 9*c**2 - 4*c = 0 for c.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65.94958 litres to millilitres.\nAnswer: 65949.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 + 30. Solve -m*x = 5*g, 2*g = 4*x + 1 + 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hxyhxxxhhhxhy. What is prob of sequence xyxh?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 477821112.\nAnswer: 2, 3, 19909213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 275690509?\nAnswer: 101, 1229, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 PM and 5:18 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 2, 4*x + 0*x + 3*u + 18 = 0. Let y be (-228)\/(-10)*(12\/x - 1). Let o = 179 + y. Calculate the highest common factor of 26 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -151 - -147. Put -1, -3\/25, j in increasing order.\nAnswer: j, -1, -3\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n**2 + n**2 + 0*n**2 + (-3 - 1 + 2)*(0*n + n**2 + 0*n) - n**2 + n - n - 542*n - 1848 + 1849 + 1008*n**2 + 544*n + (4*n - 3*n - 4*n)*(3 - n - 3).\nAnswer: 1007*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3670, -3701, -3752, -3823, -3914, -4025, -4156?\nAnswer: -4307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 105664230 divided by -27\nAnswer: -3913490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of r**5\/60 - 15*r**2 - 115. Let q(g) = 6597*g. Give d(q(l)).\nAnswer: 43520409*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 632*s + 264 = 620*s for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 11*b + 6*b - 2 - 1.\nAnswer: 17*b - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -8, 2, -1, 415.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9689 (base 12) to base 10.\nAnswer: 16521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 234663 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {b: 3, m: 3, k: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -g + 2, -6*g - 4*o + 21 = -g. Suppose -g*c = 5*r - 165, 2*r = -3*c + r + 93. Suppose -2*b + 5*b = c. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-3\/13)*n)**19 assuming n is positive.\nAnswer: n**(437\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 2*g - 2*g**2)*(14*g + 22 + 12*g - 25*g).\nAnswer: -2*g**3 - 44*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 10*u**2 - 234*u - 39. Let b be w(-21). What is the highest common factor of b and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-1))\/((-4)\/(-14)). Let i be 5 - 15\/(225\/66). Put i, u, -0.3 in ascending order.\nAnswer: u, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-3*(sqrt(637) + sqrt(637) + (sqrt(637) - (sqrt(637) + (-4 + sqrt(637) + sqrt(637) - sqrt(637))*-3)) + sqrt(637) + sqrt(637) + -1) + -5))**2.\nAnswer: -249900*sqrt(13) + 7051825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjgg when four letters picked without replacement from pjgoippjpgao?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 89 - -23. Let j(k) = k**3 - k**2 + 35. Let h be j(0). Is 17 a factor of 30\/4*t\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, 14.6, 28, -0.5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -51 - 43*j - 52 + 103 in the form l + p*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 9*f + 3. Let l(k) = -3*k - 1. Let m(h) = -8*l(h) - 3*o(h). Let z be m(-1). Suppose 5*u = -z*g + 446, g + 362 = 2*u + 2*u. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2345*a + 2345*a + 382*a**2)*(7*a + 1 - 1) + (0*a**2 - a**2 + 2*a**2)*(-3*a + 4*a + a))*(2 - a - 2).\nAnswer: -2676*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, i: 2}. Give prob of sequence iee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -17\/10317702 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*m - 36 + 474 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1373*q - 1372*q - 31. Suppose 0 = v + 5*a - 32, 7*v = 4*v - 2*a + q. Solve -v*o - 25 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304233593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 + 9. Let f = -1 - -1. List the prime factors of s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -128011526.\nAnswer: -1\/128011526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38 and 9253.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 442 and 95251?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4374?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - 9*w - 8. Let t(x) = -x**3 + 13*x**2 + 10. Let i be t(13). Let n be m(i). Let f = 2 - -8. Calculate the highest common divisor of f and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 336*n**2 - 984*n**3 - 336*n**2 + (-3 + 3 - n**3)*(-2 + 0 + 3).\nAnswer: -985*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1393, 1441, 1495, 1555, 1621, 1693, 1771?\n\"Answer: 3*d**2 + 39*d + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 65 and 1187.\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z + 2*p = 2*z - 10, -10 = -2*z + 2*p. Let h(a) be the third derivative of -a**5\/60 - a**4\/24 - 5*a**3\/6 - 3*a**2. Give h(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ijjjjjij. Give prob of picking 3 j.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 172*n**2 + 43*n**2 + 341*n - 341*n - 24*n**2.\nAnswer: 191*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 3 + -2 + 0 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 12\/10*(-50)\/(-15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -16. Let b be 37 + 2 + (-1 - 1). Suppose 2*c = -4*m + 38, v*c + b = m - 2*c. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*f**3 - 40*f**3 + 95*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -372*q**4 - 156*q - 2. Let b(a) = -1116*a**4 - 467*a - 7. Let n(z) = 2*b(z) - 7*k(z). Find the second derivative of n(o) wrt o.\nAnswer: 4464*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 494292 and 438.\nAnswer: 36083316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of -2*n**6\/165 + 43*n**5\/110 - 109*n**4\/66 - 316*n**3\/33 + 180*n**2\/11 - 6087*n. Let o(w) = 0. Calculate w.\nAnswer: -2, 1\/2, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*j + 3. Suppose h - 8 = -4*x, -2*h - j*h = -x + 2. Is h smaller than 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13629 divided by 1239?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49 and 21163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0206456578 to 4 dps.\nAnswer: -0.0206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = y - 12. Suppose -5*v - 24 - y = 0. Calculate the common denominator of (-2)\/v - (-746)\/(-60) and 71\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*k - 8. Suppose 3*o = 5 + 10, -877 = -4*s - 5*o. Let q = -181 + s. Calculate the greatest common divisor of k and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11833.56 + -12047. Let d = g + 218. What is d rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -2 - 0) + -1 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.9 - 11.9. Which is the second smallest value?  (a) o  (b) -7  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-36)*t*t)\/(t\/t**(-11\/4)) assuming t is positive.\nAnswer: t**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 + 10*r - 6. Let w = 683 + -422. Let g = w - 253. Give i(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (10\/15)\/(4\/(-150)). Let h = -9 - j. Is 11*(h - (-1 - -4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2470, 4939, 7408, 9877, 12346, 14815?\n\"Answer: 2469*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 8*p**2 - 4*p - 4. Let u be i(4). Let j = -13 + 15. Suppose j*b = -2*b + u. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 19*z**2 + 23*z + 47. Let j be -4 + 221\/68 + 19\/4 + -24. Give v(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 33 + -48. Let y be ((-6)\/15)\/(3\/r). Differentiate -5 - 1 + y*a - 4*a - 5 with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/81*3\/1)\/((-14)\/18).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*p - 18 = -29*p + 734. Let k(y) = 2*y - 8. Determine k(p).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -34 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 PM and 11:42 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -16\/3  (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 39 - 203 = 0. Suppose 4*a = -5*g + k, -g = -a + 2 - 3. Solve 6 = 2*j - 4*j, 0 = g*y + 3*j - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -r**3 + 15*r**2 - 75*r - 18. Factor l(v).\nAnswer: -3*(v - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 15, 30696 in decreasing order.\nAnswer: 30696, 20, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 7*n**2 + 17*n - 14. Is 21 a factor of c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1066 (base 12) in base 8?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 24 = 4*g - 136, -5*g + 153 = -3*m. Let z = -46 + g. Let r = z + 21. Solve -2*t = -5*i + t - 11, 4*i = 2*t - r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 444 - 411. Suppose -c*p = -2*p - 10230. Does 33 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(42)\/(1*sqrt(7)))\/(sqrt(288) - 2*sqrt(288)) + 4.\nAnswer: -sqrt(3)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2 = -3*t - 5*k, -4*t = 4*k. Let f = 366 + -364. Suppose 0 = -2*d, 0 = 2*w + 2*w + 4*d - 20. What is the nearest to t in w, -3\/8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/4190 - -211\/6285. Let f(w) be the second derivative of 5*w - 1\/20*w**5 + 1\/42*w**7 + 0*w**2 + 0*w**3 - m*w**6 + 1\/12*w**4 + 0. Factor f(a).\nAnswer: a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 128 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c**3 - 4*c**2 - 3*c - 2. Let d(p) = p**3 + 5*p**2 + p + 3. Let t be (-297)\/63 - (-4)\/(-14). Let g be d(t). Give f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1260 - -1036d?\nAnswer: f10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -0.3. Let r = -2 - -4. Let n = 4\/621 + 1847\/2484. Which is the second biggest value?  (a) j  (b) r  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80618070 is divided by 535?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 1 + 0)*(-5 - 1 + 4)*(-7016*r - 4701*r + 10240*r - 3329*r) to the form l + k*r and give k.\nAnswer: 19224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) + (sqrt(78) - (-2*sqrt(78) - sqrt(78) - sqrt(78)))\/sqrt(6) - (sqrt(52)\/sqrt(4) + 2).\nAnswer: -2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/2)*q**12)\/(q**(-3\/13)*(q\/(q**39\/q))\/q))**(3\/22) assuming q is positive.\nAnswer: q**(3957\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-60)*-1)\/((-36)\/(-192))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/10  (b) -31  (c) 23914\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 5*t + 4*t = -75213, 0 = 2*p - 5*t - 150391. Let v be 2*1\/(-16) - p\/(-64). Calculate the highest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 254142796?\nAnswer: 2, 71, 894869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*g**3 - 17*g**2 - 38*g**2 - 21*g**2 + 76*g**2.\nAnswer: -114*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 12, 21, 28, 33, 36, 37, 36?\n\"Answer: -o**2 + 12*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1464 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*w - 10 + 38 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4454*o**2 - 42 wrt o?\nAnswer: 8908*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -2*v + 20, 3*n = -5*v + 62 + 2. Suppose -8 = -11*p + v. Suppose 139 = p*s + 3*o, -o + 201 = 3*s + o. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m. Let l(q) = 48*q - 516. Let f be l(11). Let n(s) = 6*s. Give f*g(z) - 4*n(z).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 364 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h - 1. Let s be f(-2). Let k(o) = -o - 2. Let d be (6\/4)\/((-3)\/6). Let c be k(d). Is c >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(2\/27)*a*a*a*a\/(a\/((a\/(a*a*a\/(a*a*(a**(-1)*a)\/a)*a*a))\/a))*(a*a**(2\/11)*a)\/(a*a\/a**(-1)) assuming a is positive.\nAnswer: a**(-518\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3787680 (base 9) to base 4.\nAnswer: -13320112113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3*(-124)\/(-12180)*1 and -61\/4?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + -3704\nAnswer: -3703.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from gfffpppffgffffgffgfl.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/85)\/h)\/(h\/(h*h\/(h\/h**(3\/14)))*h*h))**38 assuming h is positive.\nAnswer: h**(-62453\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 245, 140, -29, -256, -535, -860, -1225?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 3*k = -6*b + 435, -5*b + 4*k = -698. Calculate the remainder when b is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 18. Let c = -8 + v. Solve 0 = 2*f - 2 - c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.8, 13, -4\/11 in descending order.\nAnswer: 13, 2.8, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 22 + 2 = 0. Let m(c) = c**3 + 4*c**2 - 2*c - 4. Let z be m(-4). What is the derivative of -5*u**y - 1 - 2 - 3*u**z + 10 wrt u?\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -214, -192, -172, -154, -138?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*s**2 - 16 - 15 + 67 - 36 + 3*s.\nAnswer: -61*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 5*q + 8 = 43, 0 = -q - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39339*q**5 + 236*q**4 - 328219*q**2 + 104.\nAnswer: -2360340*q**2 + 5664*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*q = -2*q - 12, 8 = 4*g + 2*q. Suppose 0 = -3*k + 2*a + 17, 3*a - 11 = -k + a. Solve -g + k = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 516 = 260. What is the units digit of (-9)\/(-45) + c\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 8904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2729778 by 372.\nAnswer: 454963\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/829?\nAnswer: 2\/829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/18571136 and 95\/11136.\nAnswer: 55713408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-14)\/3 - (-8)\/12. Let t = 6 + u. Suppose 0*m - 2*y = -t*m + 14, -5*m - y + 17 = 0. Calculate the remainder when 11 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of c**5\/10 - 7*c**4\/36 - 11*c**3\/18 + c**2\/3 - 11*c. Find o such that q(o) = 0.\nAnswer: -1, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 110 - 106. What is the third derivative of -33*m**4 - 20*m**d - 21*m**2 + 69*m**4 wrt m?\nAnswer: 384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*t**3*x**4 + 818*t**3*x**3 + 16179*t**3 with respect to x.\nAnswer: -8*t**3*x**3 + 2454*t**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*t - 143 + 72 + 38*t + 67 in the form p*t + q and give p.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21877235.\nAnswer: 5, 4375447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 381 and 232410?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44170 + 12*l + 88359 - 2*l - 44189.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 6:44 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of 3\/2*r**2 + 1\/15*r**6 + 0*r**4 + 0 + 0*r**5 + 3*r + 0*r**3. Differentiate f(n) with respect to n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52, -73, -110, -163?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2925 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 4*j + 22. Let q(k) = 6*k + 33. Let i(v) = -8*b(v) + 5*q(v). Calculate the remainder when 557\/5 + (-9)\/(-15) is divided by i(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101709 divided by -1?\nAnswer: 101709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2904 + -1408. What is the highest common factor of 176 and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.16 - 0.15. Let x = 0.11 + s. Is x equal to -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1684\/(-3789)*(-243)\/(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence znz when three letters picked without replacement from {x: 1, z: 2, p: 1, t: 1, l: 1, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2683666 - 1342150. Suppose -39*d = 5*d - u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = i + 7, 4*i - k + 0*k = 2. Let j be ((-71)\/(-3621))\/((-2)\/6)*2. Is i at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 26*h + 100 = 0. Suppose -5*p + 190 = -45. Suppose 5*u = p + 18. Calculate the remainder when u is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + (6 - -5 - (-31 - -2)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*o + 55579 = 0, 19033 = d + 3*o + 509. What are the prime factors of d?\nAnswer: 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95005 is divided by 720?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26*q + 18 + 5 - 8*q - 19*q to the form b*q + m and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 163*t + 350132 - 373548 - 2255161. 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 remainder when 1681497 is divided by 206.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12777739 + 12777739 - 34*j**2.\nAnswer: -34*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.257 - 0.23. Let g = -479 + 479.0251. Let h = u - g. Round h to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-2)*(-2000)\/(-17500)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 27, 132, 427, 1008, 1971, 3412, 5427?\n\"Answer: 16*a**3 - a**2 - 4*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 13.4009066 and -1.6.\nAnswer: 11.8009066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u - 1 + 1 + (1 + 5 - 2)*(-55 + 25 + 32 - 5*u) + (u + 2*u - 2*u)*(1 + 4 - 4) + 2*u - u + 0*u in the form v + i*u and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -t**4*u - 194192*t*u + 327133*u + 1 wrt t?\nAnswer: -4*t**3*u - 194192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/90)\/((-3)\/10)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 3 = d, 5*d + 7 = -0*k + k. Suppose 40 = -10*q - 0*q. Let j be (q\/(-5) + -1)*(-65)\/(-26). Put -0.2, 2, j, d in increasing order.\nAnswer: d, j, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -1, 30, 29, -5, -27, 3.\nAnswer: -41, -27, -5, -1, 3, 29, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/128 and -107\/1449312?\nAnswer: 5797248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7463977*h**3*x**3*z - 120525*h**2*x*z + 3*h**2 - x**3 - 3*z wrt h.\nAnswer: -44783862*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + -ca0a753?\nAnswer: -ca0a74b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1922.9005 - -1922. Let w = t + 0.9. What is w rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -69 + 44 - (21 - -13).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(891)*-1)**2 - (sqrt(891) - (-2 + (sqrt(891) - -1*sqrt(891)))) - (-3 + (sqrt(891) + 5*(3*sqrt(891) + sqrt(891)) - sqrt(891))**2).\nAnswer: -342143 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 2:30 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57369794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v + 5. What is the remainder when 26 is divided by y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 5*i**3 + 33*i**2 - 322*i - 753. What is l(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyymmmmbmmybymymmmy. What is prob of sequence ymbm?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Solve -10*d + 11 = -11*d - 3*r, 2*r + 12 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -95, -0.2, 2\/75?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -29502 (base 12) to base 3\nAnswer: -2221012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 - 19*b**2 - 44*b + 56. What is n(21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-63)\/(-7)*(-290)\/(-3045).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10 - 11 - 18\/(-22). Let r = -72 + -71. Let l = r - -143.4. Which is the closest to 0.1?  (a) l  (b) 5\/6  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*-1 + sqrt(70) - sqrt(70))\/sqrt(10) + (sqrt(49)\/(sqrt(63) - sqrt(7)))**2.\nAnswer: -sqrt(7) + 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c. Let z be ((-7)\/(-4))\/(1\/24). Let i be (-2)\/7 - (-96)\/z. Let d(s) = -s - 1. Let f(j) = -j**3 + 22*j - 18. Let k be f(-5). Give i*u(g) + k*d(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b + 11. Let c be f(10). Let m(h) = 42*h**3 - h**2. Let w be m(c). Let d = -20 + w. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 10, -1, -34, -70 in descending order.\nAnswer: 10, 4, -1, -34, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61973 = 523*c - 2660*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 12:19 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 33277 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: Simplify (-2*(sqrt(77)*-2 + sqrt(77) - sqrt(77)) + sqrt(77) + 4*2*sqrt(77) + sqrt(77))\/((sqrt(66) + sqrt(66) + -2*sqrt(66)*4)\/sqrt(6)).\nAnswer: -7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -f**4 - 2276*f**3 + 1694989*f**2 + 1697264*f = 0.\nAnswer: -2867, -1, 0, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 9. Let z be t\/2 - 8390\/(-20). Suppose o = -4*h + 312, -4*o - 95 = 4*h - z. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -4*w**2 - 5*w. Let f(q) = -q**2 - q + 1. Let g be -4 - (-156)\/40 - 62\/(-20). Suppose g*m - 118 = -124. Determine m*f(h) + n(h).\nAnswer: -2*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26\/260)\/(2\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2018*p + 2024*p = -78 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 4 - 3)*(q - 3*q - q) + (0 + 4 + 1)*(-3*q + 6*q - 4*q) - 6*q + 11*q - 2*q to x + n*q and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2185*x**3 + 727*x**2 + 1?\nAnswer: 13110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -855355 divided by -5.\nAnswer: 171071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 5*y - 7818 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 1243230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, s: 1, j: 1, m: 1, n: 1, z: 1}. Give prob of sequence smn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/(-1)*3\/(-18)*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27660*r - 30853*r - 28737 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 320 and 10760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1531894 divided by -3\nAnswer: 1531894\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5150685.\nAnswer: 3, 5, 343379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 4*w - 14 = 8, -5*w = -20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 3 + 0 - d**2)*(-9 + 9 - d).\nAnswer: d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + 343a927?\nAnswer: 343a927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -605637 (base 9) to base 15\nAnswer: -71324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39 + -165. Does 3 divide (2\/(-6))\/(3\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -633*n = -519*n - 3306 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2a + -17?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of v**2 - 572. Let p(u) = -7*u**2 - 3 + 3. What is s(p(o))?\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 2*m**5\/11 - 190*m**4\/11 + 372*m**3\/11 + 4*m**2\/11 - 34*m + 186\/11 = 0.\nAnswer: -1, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12285.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, s: 1, e: 1, q: 2}. Give prob of sequence eqem.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(832))*3 + -1 + -2.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/9 in -2, -1\/15, 0?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 65772033 and 5061.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the second derivative of 5*n**3\/6 + 4*n. Let t(p) = 92 + 5*p + 78 - 170. Calculate u(t(x)).\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 + 6*a**2 - 2*a + 4*a + 0*a**2. Let o be -8*(3\/(-4) - 0). Let m be s(o). Solve -5*c = 4*l - 29, -2*c + 3*l + m = 5*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2201 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 135 and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 10:23 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -4*p**2 - 163*p - 508. Let d be m(-36). What is the highest common factor of 418 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 84165*c**2 - 5*c - 1167632 wrt c?\nAnswer: 168330*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 126833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h - 5 = 11*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 6 + 8 - n - 2*n**3 - 6. Let l be (-2)\/(-4)*(-8)\/12*-21. Let v(m) = -2*m**3 - m + 7. What is l*v(j) - 6*z(j)?\nAnswer: -2*j**3 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2)*j*j*j**9\/j)\/((j**(-21)*j)\/(j*j**35\/j*j)) assuming j is positive.\nAnswer: j**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.06, 0.4, -7, -4\/3, -1\/4, -1\/220?\nAnswer: -1\/220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*v + 15*v + 6*n - 52, -8*v + 5*n - 72 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-15)\/10*((-105)\/9 - 3). Is ((-586)\/(-3))\/(l\/33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2*n**2. Let x(y) be the third derivative of 9*y**5\/10 - 12*y**2 - 6*y. Calculate x(o(z)).\nAnswer: 216*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1696 and 650893.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 5 + 3 + 2)*(2 + 11 + 0)*(-54*g - 28*g - 38*g) as j*g + v and give j.\nAnswer: -6240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 15 - 15*v - 15 + (1 + 1 - 3)*(6*v + 2*v - 4*v) as q + n*v and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**3\/3 + 206919730*k**2\/21 - 886799084*k\/21 + 236479760\/21 = 0 for k.\nAnswer: -14779985, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -594, -589, -582, -573, -562?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -291117 - -291121. Find x such that 60\/7*x + 18\/7*x**2 - 24\/7 - 15\/7*x**r - 39\/7*x**3 = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1085 a factor of 615428275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-168)\/224)\/((-1)\/16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - 3*d**2 + 2*d + 4. Let j be w(3). What is the remainder when 94 is divided by 815\/25 - 6\/j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1094547 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12 - 23?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 6*g + 3. Suppose 3*r = -b - 6, -r - 1 + 4 = 0. Let v be 73\/b + 10\/(-75). Let z(d) = d + 1. Let i be z(v). Give t(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(190)*2)\/(2*sqrt(490)) + (sqrt(76)\/(sqrt(28)\/sqrt(7) + sqrt(4) - sqrt(4)) - (sqrt(684) + 0)))**2.\nAnswer: 28899\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3389511 and 1377.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -395, 0.1, 4 in increasing order.\nAnswer: -395, -5, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3 + -0.22. Let n = -0.48 + y. Let i = -100\/301 + 2\/43. Which is the second biggest value?  (a) n  (b) i  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20788 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u - 2*f = 20690 - 20691, -3*u - 5*f + 50 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 5354*a - 31848. Give v(6).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14380688 equal to 14380689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -12156 divided by 1\nAnswer: -12156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*z + 5*s + 65, 14*s + 30 = -3*z + 11*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 77*l + 82*l + l**2 - 32*l**2 + 82*l - 244*l + 1 as s*l**2 + o*l + b and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 188097526993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/10*(-1920)\/(-4096)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.936 - -0.036. Let p = y - -2.5. Let o = -154 - -1388\/9. What is the third biggest value in -0.5, o, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-115)\/(-345)*18\/(-15). Let i = 1.97 + 0.03. Let z = 2.5 - i. What is the third smallest value in z, d, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*p - 3*p + 20, x = -5*p - 22. Suppose -3*g = x*z - 126, -g - g + 87 = z. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uhhhhhuhh. Give prob of picking 3 h.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 6*w. Let l(u) = -2*u + 6*u + 51 - 3*u + u. Give b(l(q)).\nAnswer: 12*q + 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173338 is divided by 520?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -973 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = t - a, 12 = t + 2*t - a. Let r(k) = t + 2*k - 14*k - k**2 + 0*k + 4. Let n be r(-12). Solve g - 3*i = n, 4*g + g - 6 = -2*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**4 - 10*g**3 - 7*g**2 + 18*g = 0. Calculate g.\nAnswer: -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + l = 0. Let k be ((2990\/273)\/(-46))\/(2*15\/(-12)). Let x = 3 - 3.1. What is the closest to x in l, k, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15516387 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = -2*u - 5. Let n(b) = 3 + 1 + 3*b - u + 11*b**2. Does 11 divide n(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3515412 divided by 1\nAnswer: -3515412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + sqrt(171) + sqrt(171)) + 3.\nAnswer: -12*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 47, 1, -2, 0, 5, 2 in decreasing order.\nAnswer: 47, 5, 2, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18524)\/(-18945))\/((-7)\/((-420)\/8))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -15195 divided by 15\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -739 or -776?\nAnswer: -739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of z**4\/24 + z**3\/3 + z**2. Let t be d(-1). Let l = 1 + t. Solve -l*i + 1 = w - 4*i, 4*w - 3*i = 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*o**2*u**5 - 6*o**2*u - o**2 - 2*u**5 + 4 wrt u.\nAnswer: 60*o**2*u**3 - 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide (28\/(-24))\/(19\/(-114)) - -4313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -4*t - 4. Suppose 17 = -2*c - 1. Let f = 6 + c. Calculate z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -w**3\/3 + 6*w**2 - 2*w - 9. Let o(h) = h**2 - 12*h + 3. Let f(g) = 3*o(g) + 4*p(g). Is 4 a factor of f(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2976 and 281232?\nAnswer: 562464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + 8*b**2 + 9*b + 5. Let u be y(9). Let q = 8 - u. What is the second smallest value in q, 1\/3, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 - 8*v**2 + 7*v + 6. Let c(n) = -12*n**3 - 5*n**2 - 12*n + 5. Calculate the remainder when c(-4) is divided by r(8).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 229 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 3:36 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14301 + -14283. Calculate the remainder when 4051 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 35\/100 + (-1)\/(-4). Let t = -175 + 685. Let z be 4\/(-34) + (-348)\/t. What is the third smallest value in z, 4\/3, p?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6159 is divided by 2775?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -57 - ((36 - 110) + 60)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k**3 - 5*k**2 - 4*k - 1. Let f(c) = -4*c**3 - 6*c**2 - 5*c - 1. Let a(q) = 2*f(q) - 3*l(q). Give a(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of y**6\/3 - 7*y**5\/5 - 11*y**4\/2 + 4*y**3\/3 + 11*y**2 + y - 5372. Find the third derivative of q(n) wrt n.\nAnswer: 120*n**2 - 168*n - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 387954 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 189156043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*i*m**2 - 169*i*m + 4*i - 648*m**2 - 1 wrt m?\nAnswer: -8*i - 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 462*k - 5058. Let b be j(11). Calculate the greatest common factor of b and 25176.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -4*j + 295 - 319, 4*k + 46 = 7*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 140*k + 3157. Give v(112).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 129 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + 12. Suppose o + m = 8. Suppose -o*v = -3 - 7, 3*v + 5594 = 4*b. What is b rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -2\/7  (b) 1  (c) 2\/21  (d) 2  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41 + 70. Suppose -8*p - 4 = -4. What are the prime factors of 2*(m + -6) + p\/(-1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4455 and 14985.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 0 - (-6 - (3 + -9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14958364189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(11) - (sqrt(11) - 2*sqrt(704)))*-5 + (-5*-1*sqrt(66))\/(sqrt(24)\/(sqrt(4)*-2)).\nAnswer: -90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.023777447 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 142393, 569593, 1281593, 2278393, 3559993, 5126393, 6977593?\n\"Answer: 142400*j**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.1, -2\/3, -2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 11:07 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25419659 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 4*o. Suppose o = -7*z - z - 8. Sort z, 2, -19 in ascending order.\nAnswer: -19, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -261.5126 - -261.5. Sort 2\/7, 0, n in descending order.\nAnswer: 2\/7, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 147570 + -4?\nAnswer: 147569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 48*u**2 - 169*u - 2463. What is i(-51)?\nAnswer: -1647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10002020 + 10121?\nAnswer: -2221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 50\/(-4) + (-1)\/(-2). Let i be (336\/30 - 12)*(-165)\/6. Let l = o + i. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 494620592?\nAnswer: 2, 53, 583279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -5024379*l. Let k(o) = -3*o**2. Give k(h(i)).\nAnswer: -75733153006923*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 225*t**3 - 15*t**2 + t**4 + 225*t**3 in the form j*t**2 + y + r*t**4 + i*t**3 + m*t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44812889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-3)*2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 835978.\nAnswer: 2, 11, 13, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -i - 4*b, -1 - 5 = -4*i - b. Let h(k) = 10*k - 6. Let c be h(i). Calculate the common denominator of -37\/12 and -1 - (c\/(-16) + -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-12)*-2*307. Let m = -203 - c. Suppose -9*g + 5*g + 3*o - 2 = 0, 0 = 4*g + 3*o - 10. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118 - 241 + 123 + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 + 2*j**2 - 23*j - 45. Let z be n(-2). Solve 7 - z = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 666 divided by 6.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 6*d - 60. Give s(0).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 841*z**2 + 344*z - 521*z + 174*z as w*z**2 + k*z + m and give w.\nAnswer: 841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -410 - -556 - (64 + 7)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i**2 + 5*i**2 + 111*i - 111*i - 9*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**1*q)**45\/(q**(-2)*(q\/q**(1\/8))\/q) assuming q is positive.\nAnswer: q**(1457\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 36 + -52 - -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 446 + -445.6. What is the third smallest value in -0.0797, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b**(-14\/3)*b*b)*b*b\/(b\/(b\/b**(-1\/2))) assuming b is positive.\nAnswer: b**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3427 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + 3*m**2 - 2. Let v be h(-2). Suppose 9 = 3*c + 3, -12 = -n - v*c. Suppose -n = -2*y - 0, -y + 27 = z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8050 and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -96103, -192208, -288313?\nAnswer: -384418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176638723?\nAnswer: 491, 359753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -188 + 8*p**3 + 188.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n - 1. Let c(z) = 0 - z - 2 + 3*z. Suppose 0 = -g + 3 + 1. Suppose i - g = 3*i. What is i*c(o) + 5*u(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.1475113um?\nAnswer: 147.5113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0154947262 to five dps.\nAnswer: 0.01549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4852416 and 1344.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 6*k**2 - 8*k. Let v(b) = 8*b**2 - 7*b - 2*b**2 - 2*b. Let a(j) = -7*t(j) + 6*v(j). What is the second derivative of a(u) wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 5*b**2 - 14*b + 150. Determine a(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-192)\/20 - -10)*(-130)\/(-92). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 4:28 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -19168.83+2\nAnswer: -19166.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 3)*(-4*q + 5*q + 2*q)*(1 - 3 + 4).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-30)*(-1 + (-6)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4503 - -6873. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21199163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8258999 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of -n**6\/40 + 7*n**3\/3 + 15*n**2\/2 - 6. Let m(b) be the second derivative of c(b). Find the first derivative of m(j) wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 14. Suppose -y*l = -v - 36, l - 10 = 10*v - 7*v. Let u be 112\/l*9\/4. What is the highest common divisor of 90 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18216 divided by -88\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1734 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8 + -1. What is the greatest common factor of w and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 560042506?\nAnswer: 2, 47, 5957899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r + 2*r + 5*r)*(2 - 7 - 2)*(4 - 3 - 2)*(0*r + r - 4*r + (-1 - 2 + 5)*(-r + r + 2*r)) to f*r**2 + c*r + s and give f.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 22, -0.3, 4, -1\/30, 0.45?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**4 - 1644*t**3 - 42375*t**2 + 685032*t - 2162160 = 0. Calculate t.\nAnswer: -36, 5, 7, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 8 = -0, 0 = -3*d + 5*p + 26. Solve -v - 16 = 4*i - 4*v, 2*i + v - d = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h*h**(1\/4)*h*h)*((h*h**(-1\/10)\/h)\/h)\/h*h*h*h**(-7)\/h**(-7) assuming h is positive.\nAnswer: h**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 6*r + 1. Let t(d) = -d. Let q be (-2)\/(4\/6) - -4. What is q*p(v) + 5*t(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -h**6\/10 - h**5\/60 + h**3\/6 + h**2. Let y be b(-1). Solve -6*u - y = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/5355 or -1?\nAnswer: -4\/5355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 4*x**3\/3 + 51*x**2 - 867*x - 33. Let d(c) = 3*c**2 + 68*c - 578. Let j(g) = 7*d(g) - 5*p(g). Suppose j(t) = 0. What is t?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(3\/5)*h)\/h**(-8)*((h\/(((h\/h**7)\/h)\/h))\/h)\/(h*h**0\/h) assuming h is positive.\nAnswer: h**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -103 + 103 + 35*j**3 + (-2*j**3 + j - j)*(0 + 2 - 6).\nAnswer: 43*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeghegeegheeeg. Give prob of picking 1 g, 1 h, and 1 e.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -182 - 4?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3839193 by -426577.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -40208 - -40208.4. Which is the smallest value?  (a) j  (b) -0.007  (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/899 at least as big as 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-10)*f**(-2\/13)*f)\/(f*f**2)**(1\/28))**29)**25 assuming f is positive.\nAnswer: f**(-2443975\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 3*j = 13 + 14, 2*j = 10. Suppose 4*i + 4*d - d = -18, -2*d = -i + 1. Sort i, n, 0 in increasing order.\nAnswer: n, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2988686 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/6*-3)\/(45\/(-15)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/3, 1, 0, 51, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, 16, -30, -5, 50.\nAnswer: -30, -5, -2, 0, 16, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -14*o**2 + 591*o + 2949. Determine r(-5).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -5*x**3 - 6*x**2 + 0*x**3 + 0*x**3 + 4*x**3 - 5 - 3*x. What is the units digit of i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -5*l + 216. Suppose 2*j = 56 + 40. Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + -232231?\nAnswer: -232226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 22 - 6. Calculate the greatest common factor of 6 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144)\/sqrt(6)*-4 - sqrt(2400)*-1)\/((sqrt(108) + sqrt(108) + (sqrt(108) - -2*sqrt(108))*-3)\/(sqrt(108)\/(sqrt(36)\/sqrt(3)))))**2.\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3078 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 10:25 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -1\/8  (b) -2  (c) 2  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4063394068.\nAnswer: 2, 31, 32769307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 89, -5, 7.\nAnswer: -5, 1, 7, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 71\/5 - 14. Let w = 0.034 - -2.966. What is the third biggest value in w, 2\/15, m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 439 + -38272.\nAnswer: -37833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-102)\/459 - (1 - 2918\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 51 and 417415416.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, i: 1, o: 3, d: 1, a: 3, s: 2}. Give prob of picking 1 o and 2 a.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4  (b) 0.1  (c) 1\/6  (d) -303  (e) -1\/101  (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -13059429.144 to the nearest one thousand.\nAnswer: -13059000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2380 = -44*i + 10*i. Let j be 1\/(-30)*-24 + (-24)\/i. Find r, given that 8\/7*r**5 + j - 20\/7*r**3 - 36\/7*r - 12\/7*r**4 + 52\/7*r**2 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**2 + 33*y - 172. Give p(29).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13143 is divided by 476?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in 1\/4, -0.4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 2004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mnf when three letters picked without replacement from hhnggmfi.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**2 - 53. Suppose -92*a + 4*a = -6*a. What is u(a)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -61*w**3 - 3*w**2 - 10*w + 1. Let u(z) = 50*z**3 + 4*z**2 + 9*z - 2. What is 4*n(a) + 5*u(a)?\nAnswer: 6*a**3 + 8*a**2 + 5*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9509609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30 + 6. Let h = -17 - b. Solve 2 - h = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5*b + 53. Let m be i(10). Is 28\/11 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67 + 62 + 0*q + 9093*q**2 + 0*q - 9069*q**2.\nAnswer: 24*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eudz when four letters picked without replacement from {d: 1, z: 3, e: 1, u: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 48333, 5, 2, -5, -2 in descending order.\nAnswer: 48333, 5, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 581.4 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 3*r = -30, 0 = 26*r - 27*r. Calculate the smallest common multiple of x and 43.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.4571446 to three dps.\nAnswer: -8.457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50578 is divided by 954?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3237 (base 12) to base 15\nAnswer: -197a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*j + 17*j - 51*j - 1488 = -15*j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2078*f + 2079*f - 3*w = 1452, 0 = -5*f + 5*w + 7260. Calculate the highest common divisor of 1320 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -61*n - 6. What are the prime factors of p(-1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*t**5 + 60*t**4 + 160*t**3 - 70*t**2 - 105*t + 10 = 0. What is t?\nAnswer: -1, 1\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a + 19 = 37. Solve -5*w - 2*l = 0, 2*l = 2*w - a*l + 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156*j - 2119 + 403 = 0. Put j, 0, -6, 1 in decreasing order.\nAnswer: 1, 0, -6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or 2401176?\nAnswer: 2401176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 14\/2 - (-3 + 6). Suppose 2*s - 112 = c*u, -5*u - 212 = -2*s - 2*s. What is the remainder when s is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 + -12 - -2) + 2 + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7846813mm to centimeters.\nAnswer: 0.07846813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/208 and 97\/10.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -169713*r - 21194 wrt r.\nAnswer: -169713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 - 12. Suppose -11*j + g = -9*j. Suppose -4*k + j*l = -88, -2*l + 44 = 2*k - 6*l. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*16*(-32)\/(-128). Sort 0, -452, f.\nAnswer: -452, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.1 - -1. Put -4, h, 0 in decreasing order.\nAnswer: 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (51 + -38 - 38) + 33.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of -m**5\/60 - m**4\/2 - 5*m**3\/2 + 455*m**2. Give b(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - 7*w**2 + 11*w - 1. Let n be a(5). Sort n, -5, -9.\nAnswer: -9, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3\/5  (b) -5  (c) 0  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 249719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j - 9*j + 208 = 0. Let f(k) be the first derivative of -2*k**3\/3 + 25*k**2\/2 + 17*k - 4. Let h be f(j). Solve 0 = 3*a - h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5107 + 20607. Round j to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kickkpikc. What is prob of sequence ci?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2554102 - 4?\nAnswer: 2554054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - ((63 - 7) + -4)) + (3 - -5) + 1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 + 7*u**2 - 9*u - 10. Let q be w(-8). Let p be q*1\/2*3. Is (-129)\/(-9) - (-1)\/p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + m = 0. Let i(h) = -64*h + 68. Let j be i(1). Solve m*y = -j*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2764)\/2764*2\/(-48)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220 = -35*n - 150 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1233 is divided by 130?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(-1) - (-9)\/(-9)*-10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w + 5. Let g(z) = 2*z**3 - z**2 + 2*z - 1. Let h be g(1). Suppose 0 = -h*i - 2*i. Let v be a(i). Solve o = -0*o + 2, 0 = -2*b + v*o - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + sqrt(72) + sqrt(2))**2*-2 - (-4*sqrt(18))**2.\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 488608729 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -8  (b) -0.03  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 0)*(-13 + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3\/35, 2, -3, -0.4, 23 in decreasing order.\nAnswer: 23, 4, 2, -3\/35, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -805 + 872. Calculate the highest common factor of n and 1675.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*h**3 + 1120*h - 534*h - 563*h + 9)*(-h + h - 2*h).\nAnswer: -20*h**4 - 46*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1888 and -37.\nAnswer: -6.9856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fkmskrskszss. What is prob of sequence srfk?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3628.95387 - -3629. Round k to 3 decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t**2 - 8*t - 5. Let q be i(7). Let j = q - 25. Solve -3*h - 3 = j, 3*n - 32 = 4*h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 - 1461*h + 250227. Calculate j(199).\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -95ab (base 15) to base 3\nAnswer: -1121102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6.1, -218\/5, -4\/17?\nAnswer: -218\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1 + -5*(sqrt(272) + -1)**2 + 1 + 3.\nAnswer: -1361 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 11451 and 332089\/29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -1244 - 116*h + 1244 in the form z + y*h and give y.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 915229?\nAnswer: 7, 17, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*x + 4*x - 5*x)*(1 - 3 + 0) - x - x + 0*x)*(40*x + 4*x + 32*x).\nAnswer: -304*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -71.8994666 to 2 dps.\nAnswer: -71.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 9850198*c. Let z(y) = 10*y. Calculate g(z(l)).\nAnswer: 98501980*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c + 5*c + c - 7 - 3*c. Let k be l(8). Let m = -6 - -3. Sort k, 4, m in descending order.\nAnswer: 4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6.964 + 0.036. What is the third smallest value in 5\/3, 1\/5, 0.4, y?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -336, -346, -356?\n\"Answer: -10*g - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8 - 4 - -23 - 27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*b**5 + 13*b**4 + 9*b**3 - 13*b**2 + 2*b = 0. Calculate b.\nAnswer: -1, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8149 and 2757291?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2640*x - 106272 = 1328*x for x.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17705 by -22.\nAnswer: 17705\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -r - 18*r**2 + 19*r**2 - 11*r**3 - 4*r + 22*r + 9*r**3 in the form g*r + t*r**2 + x*r**3 + n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**3\/9 + 34*y**2\/9 = 0. Calculate y.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 162 (base 11) to base 16\nAnswer: bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3575, 7159, 10743?\n\"Answer: 3584*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 5*d + 18. Let a be l(-3). Let k(z) be the first derivative of 1\/7*z**2 + 2\/21*z**a + 0*z + 4. Factor k(q).\nAnswer: 2*q*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -11) + -41 + 17?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 467, -5, 2, -59 in ascending order.\nAnswer: -59, -5, 2, 467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1992 - 1990. Determine i so that -1\/4 - 1\/4*i**3 + 1\/4*i + 1\/4*i**r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5753718 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 + 24. What is the remainder when 17 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1895212, -12 in ascending order.\nAnswer: -12, 2, 1895212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 16*h**2 - 3*h + 3. Let g be c(2). Suppose 4*l - 47 = 1. What is the remainder when l is divided by 4\/18 + g\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -35 - (-5 + -2 + -2 + 14)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 PM and 12:36 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 4*y - 1, -4*y + h - 4*h = 39. Let j = 9 + 4. What is the units digit of 1 - 3 - (y - j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 4300066*z - 25800403. What is o(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 5 = 0, -4*y + v = -2*y - 3089. Let n be (-2)\/(-3) + y\/(-39). Let a = 90 + n. List the prime factors of a.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27783, 27767, 27741, 27705, 27659, 27603, 27537?\nAnswer: 27461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l**3 - l**2 - 7*l - 6. Let f(v) = v**3 - v**2 - v - 2. Let w(n) = d(n) + 4*f(n). Give w(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*f - 1 = -4*f, -2*t = -3*f - 13. What is the third derivative of -60*s**2 - 73*s**3 - 27*s**t + 26*s**2 - 41*s**2 wrt s?\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -104414322 + -1?\nAnswer: -104414323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -27*b**2 - 410*b + 1223. Let l be n(3). Which is smaller: -253 or l?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 32, 51, -76, -421, -1056, -2053?\n\"Answer: -12*k**3 - k**2 + 106*k - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -8*p + 3115. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -4*s + 2 + 2, 0 = -3*s + 4*g + 3. Suppose -18 = -3*k + 4*q, -3*k + 2*q - s = -13. What is the third derivative of b + b**3 + b**k - b wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -771 - ((-80)\/(-30))\/(8\/(-12)). Let q = 2326 + p. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1404 + -639. What are the prime factors of p?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*t + 157*t + 136*t.\nAnswer: 193*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27667 + -20805. What is the thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + (73 - (0 + 18)) + 8?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3*y**2 - 2*y - 6. Let j(b) = 14*b**2 - 7*b - 21. Let v(m) = 21*a(m) - 6*j(m). Let s(i) = -13*i**2 + 5 + 11*i**2 - 5. Determine s(v(w)).\nAnswer: -882*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 29020939 to the nearest integer?\nAnswer: 5387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-35)\/(-378))\/((-25)\/(-15))*3*(-234)\/260?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwwppwwwwwwwwwwwwwww. Give prob of sequence pp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*p + 4*p + 9*p + 4*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 - 2*p**2 + 788. What is the tens digit of u(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6)\/sqrt(3))**2*3 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -1488960.\nAnswer: 1\/496320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {g: 1, a: 1, d: 3, u: 3, i: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -868*q**2 - 7898*q + 11. Calculate d(-9).\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -58 - -57.948. Let o = p - -0.114. Let n = 5.062 - o. Which is the closest to 0?  (a) -0.1  (b) -0.3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7431*a**3*p**2*w + 74*a**3*p*w - 2*a**3 + 13*a*w wrt p.\nAnswer: -14862*a**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 times -10027?\nAnswer: -561512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*d**3\/9 - 598*d**2\/9 - 2728*d\/3 - 3304 = 0. What is d?\nAnswer: -42, -59\/5, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -110 - -115. Factor -22*m**2 + m**3 + 35*m**2 + a*m - 19*m.\nAnswer: m*(m - 1)*(m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -0.5, 1499?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -92355*b**2*i**2 + 320*b**2*i + 5*b**2 - 6*i**2 + 26*i wrt i.\nAnswer: -184710*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 1394 = t. Let s be t - (-1 - 6\/(-3)). Suppose -2*r + s = -178. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1700, 0.2, -5, -33, -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5717 - 5063. Calculate the highest common divisor of 1199 and s.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 1. Let z be q(-5). Suppose -j = 4*j + 4*v - 19, 3*j - 3*v - z = 0. Solve j*t + 2*t = -10, 0 = 2*l + 4*t + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1642?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of -5415*l**7\/7 + 246*l**3 + 3*l**2\/2 - 4472. What is the third derivative of w(y) wrt y?\nAnswer: -649800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 4*v + 9)*(-v - v + 0*v - 2 - v + 2 + (2 - 2 + 3)*(-v + v + v) + 5*v - 3*v - 3*v - 5*v + 18 - 18).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/1*(8\/8 - (-45)\/(-27)). Solve -y*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of -f**6\/90 - 2*f**5\/15 + 2*f**4 + 8*f**3\/3 - 3*f + 2. Let i(n) be the second derivative of q(n). Factor i(u).\nAnswer: -4*(u - 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 524286.\nAnswer: 2, 3, 7, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*g + 10978 = -275*g - 179*g for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -22*t**4\/5 - 2*t**3\/5 + 586*t**2\/5 - 1078*t\/5 + 516\/5 = 0.\nAnswer: -6, 1, 43\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 4:10 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 97707211 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 + d + 1. Let i(o) = -9*o**2 - 4*o + 57. Give -i(q) - 6*n(q).\nAnswer: 3*q**2 - 2*q - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1218470 divided by -5?\nAnswer: -243694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5269, -10486, -15683, -20860, -26017, -31154?\n\"Answer: 10*x**2 - 5247*x - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*l + 2*l - 5*l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8011926301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -0.4  (c) 0.60499  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 36 - 8. Determine c, given that -13*c + 2 + h*c - c**2 - 3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 5*f - 8. Let g be f\/(-8) - (-7 + 7). Sort 4\/5, 15, 4, g in ascending order.\nAnswer: g, 4\/5, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 752*g**4 + g**2 + 2*g**3 - 3*g + 626*g**4 + 430*g**4 + 2*g - 890*g**4 to the form s*g**3 + h*g**4 + j*g + t + l*g**2 and give h.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*m**3 - 16 + 16 + (-2*m**2 - m + m)*(0*m + m + m) as b*m**2 + z*m + g*m**3 + j and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-5 + 2 + sqrt(208) + -2 + 2).\nAnswer: -18 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8082797 is divided by 968?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 184\/345*(-3)\/(-2). Let z = -11.5 + 5.6. Let o = -5.9 - z. Which is the nearest to o?  (a) 0  (b) u  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 2:47 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -25\/3. Let u be (6\/(-4))\/(27\/(-342)). Let m = u + -34. Which is bigger: m or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.7017l in millilitres?\nAnswer: 79701.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15.2 + -19. Let p = -4.18 - g. Round p to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93811384 divided by 11726423.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 43521616 (base 7) in base 12?\nAnswer: 130247a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-23)*y**(-16) assuming y is positive.\nAnswer: y**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 6*h - 3*h**3 + 2*h**3 - h**2 + 6*h**2. Let d be f(6). Let y = -22\/9 - -304\/117. Is d <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 13\/(-3 - -2*2). Suppose 3*r + 5*w = 4, 5*w + q = 4*r + 4*w. Suppose -5*i = -r*g - 218 + 35, 3*g = -4*i + 141. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 468 is divided by 41.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - y + 4 + 1, -2*y - 16 = -3*z. Solve 0 = -z*n + 3*u - 21, -1 = 5*n - 2*u + 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = h - 9 + 150, 0 = 5*f - 5*h - 112 - 13 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(5\/4)*f)\/(f**(-10\/9)*f))\/((f\/(f*f**4))\/f*f*f\/(f*f\/((f*f*f**(1\/3)\/f)\/f)*f)*f*f*f) assuming f is positive.\nAnswer: f**(181\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1357739 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 0) + (30 - 28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15*158\/(-1185))\/(6*(-1)\/171*3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 353463917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -350720 or -2104321\/6?\nAnswer: -350720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 406 and 593572?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 7*y**3 - 4*y + y**2 + 7*y**2 + 5 - 2*y**2 - 8*y**3. Give l(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 2, 3*j - 11432 = -4*v + 10047. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -11750\nAnswer: -9\/11750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -85618.9 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 3) + 5 + (-13 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -275.24 - -3.24. Let s = t + 272.1. Sort -1\/4, -4, 4, s in decreasing order.\nAnswer: 4, s, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*z**2 - 12*z = 0. Calculate z.\nAnswer: -3\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q**2 + 8 + 9 + 5 + 3 - 16 in the form j + i*q + u*q**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7589710 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**(-1)\/i*i)\/i)**(-3\/4)*(i**1)**36)\/((i**(-7)\/((i\/(i**(2\/17)*i))\/i))\/((i**(-5)*i)\/(i**(1\/7)*i))) assuming i is positive.\nAnswer: i**(17845\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -8*b**2 - 71*b + 27. What is the remainder when j(-8) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -4  (b) 35  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 110010 (base 2) in base 15?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w - 2. Let c be p(-4). Let h = -8 - -8. Let n be (-1 - h - -2)*c. Solve 0 = -3*z - 3, -n*z + 21 = 5*u - 3*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rjrjjtttrrrrj. Give prob of sequence rt.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2354650005 to the power of 1\/2, to the nearest integer?\nAnswer: 48525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 7:25 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 215871451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 83619706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7386.08 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4701480 and 9429?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 52952137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1265 - 0)*(-14 - -19) + -4.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-298)\/40 - 9945\/33150?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -16*(-1 - (6 + -3)). Suppose -t + 5*t - x = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 - 15*h**2 + 16*h - 27. Let s be r(14). Solve -s = -k + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158865894 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 5*f = 18, -10 = 2*f - 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p + 2*p + 3*p + (-2 + 1 - 1)*(0*p + 0*p + 3*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74, 73, 72, 71, 70, 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*j = -4*j - 64 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 10 = -c + y, 17 = -c - 5*y. Let n(k) = 10*k + 183. Let x be n(-18). Calculate the highest common factor of x and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/141 and -11\/6326049.\nAnswer: 297324303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fvjx when four letters picked without replacement from {x: 2, f: 8, v: 5, j: 2}.\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 15) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = 2*q - n - 2, -3*q + 11 = 4*n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4021 - -4020.86. What is the biggest value in -0.5, 7, -0.01, -5\/3, u?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8636921 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (2 - -4) + 2 - (-76 - -99)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + 63 - 297. Suppose 2*s - w = -0*s. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 9*l**2 + 106*l + 2429. Calculate x(-14).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 12:39 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 + 5*y**2 - y + 4. Let m(f) = -5*f**3 + 25*f**2 - 6*f + 19. Let k(s) = 4*m(s) - 19*x(s). What is k(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 150075 and 145575.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 80997 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -4*h + 123. Let n(y) = y + 7. Determine b(m) + 5*n(m).\nAnswer: m + 158","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-3) - (-10)\/3. Suppose y - v*s - 12 = 2*s, 4*s = -2*y + 52. Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 949624 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -203, -541, -1049, -1733, -2599?\nAnswer: -3653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66302799?\nAnswer: 3, 19, 1163207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2*sqrt(162) + 0 + (2*sqrt(48))\/(1*sqrt(486)).\nAnswer: 3 + 166*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 2 - 1 - 1 + 1 + (-1 - 1 + 0)*(2 + 4 - 3) + 2 - 1 + 0)*(-1 + 3 + 2436*c**2 - 2747*c**2) in the form h*c**2 + g + x*c and give h.\nAnswer: 1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*o**3 - 7*o**3 - 82*o**2 + 82*o**2.\nAnswer: -29*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -254235 - -56262?\nAnswer: -164643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**3 + 3*u**3 + u**3)*(-6 + 1 + 3) + 2*u**3 + 0*u**2 + 0*u**2 + 297*u**3 + 313*u**3 - 9*u**3.\nAnswer: 599*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3717*b**3 + 18*b**2 - 11*b - 1?\nAnswer: 22302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*o + 0*o - 1 - 7*o)*(-4*o + 3*o + 2*o) to the form s*o + x + z*o**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/3*-3 + 2. Let x be -5*(y + 0 + -1). Solve -7 - 8 = -x*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 265740589.\nAnswer: 197, 1348937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 132 - -34. Suppose -i = -10*m - 46. Solve 0*z + 4*z + m = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -405 = 5*f + u, f = -4*u - 72 - 28. Let j be ((-6)\/5)\/(24\/f). Solve -j*m - 7\/3*m**2 + 4\/3 = 0 for m.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of -b**3\/3 - 5*b**2\/2 - 1. Suppose -3*t + 7*t = -16. What is the least common multiple of 3 and p(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 229380000 to the nearest 1000000.\nAnswer: 229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 42819.56086 to the nearest 100.\nAnswer: 42800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65 - 46 - 19 - 101710*n**3.\nAnswer: -101710*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -461873*o - 10755?\nAnswer: -461873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 2 - (0 + (-15 - -20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13632556319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3156 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/22)\/((-60)\/(-24994)). Let y be (7\/((-1386)\/(-1308)))\/((-1)\/12). Let n = y + p. What is the common denominator of 49 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 807867691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*l**3*x**3 + 101*l**3 - 5*l**2*x**3 - 23*l**2*x + x**3 wrt l?\nAnswer: 12*x**3 + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32935575 is divided by 10978518.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 273\/5 + -55. Let k = -13\/2 - 2. Let r = -10 - k. Which is the third smallest value?  (a) -2  (b) n  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2*g - 3 + 3)*(g**2 - 2*g**2 + 2*g**2) - 2 + 2 - g**3 + 0*g**3 + 5*g**3 + 4*g**3)*(-3 - 1 + 2) to the form j*g**3 + k + n*g + b*g**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 + 193062147\nAnswer: 193062146.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -85.08 - -86. Let j = 0.15 + -0.87. Let f = j + l. Sort -0.1, 1\/7, 7, f in decreasing order.\nAnswer: 7, f, 1\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -14*x**4 - 10*x**2 - 35*x**3 + 11*x**4 - 55*x**3 - 2*x**5 - 98*x**2 - 21*x**4 = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 32*((-28)\/(-8) + 1). Suppose b - y = -2*b. Let r(h) = 7*h**2 + h + 2. Let t be r(2). What is the greatest common divisor of b and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 484, 1004, 1546, 2116, 2720, 3364, 4054?\nAnswer: 4796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1*1\/(-3))\/(-1). Let v = 18.9 + -22.9. Which is the closest to s?  (a) v  (b) 0.5  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/11641 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -5*p**6\/2 - p**3 + 53*p**2\/2 - 43. What is the second derivative of x(d) wrt d?\nAnswer: -300*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2495\/258 - -50\/43. What is the common denominator of 37 + -39 + (-92)\/21 - -3 and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54 + -14 - -59 - 23?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 152574, 152569, 152572, 152589, 152626, 152689, 152784?\n\"Answer: f**3 - 2*f**2 - 6*f + 152581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7405001 rounded to the nearest 100000?\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 84 or -8?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 345424956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -105 - -109. Suppose 3*f + 8 = -4. Sort c, -2, f in descending order.\nAnswer: c, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 1\/4  (b) -9  (c) -69  (d) -78\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {v: 10, x: 4}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5*z + 1 = 0, 5*r - 3*r - 3*z = 3. Solve r*t + 1 = 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*4\/50*5*(-7)\/(-140).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 3*v**2 + 8*v - 15. Let r(p) = 3*p**2 + 2*p - 1. Let o be r(1). What is the remainder when h(o) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v and 1 q when four letters picked without replacement from evvvveeveqeevec?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2162174 + -15135186\/7. Determine m, given that 198\/7*m**2 - b - 44\/7*m + 2*m**4 - 136\/7*m**3 = 0.\nAnswer: -2\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from uumujvjuu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 3*u + 145 = 170, -v + 20 = 3*u. Solve -v*j + c + 9 = 5, -3*j = -5*c - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 74 and 20?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 46 + -32. What is the remainder when (78\/4)\/((-3)\/(-4)) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 7*c - i + 29099995, 4*c = -3*i + 23279985. What is c rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/(25\/2)*-2045. Suppose 3*r - 5*r + 854 = 4*j, -3*r = 4*j - 1291. Let c = n - r. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1785 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -2  (b) -64  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14814, 14779, 14700, 14559, 14338, 14019, 13584, 13015?\nAnswer: 12294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 14 - 94 = -5*j, 0 = j - 3*v - 16. What is the least common multiple of 10 and (-8)\/(j\/(-30)) + 1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -104  (b) -5  (c) 180  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4143033 (base 5) to base 6\nAnswer: -1245114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15.00035 + 15. What is w rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -z**3\/6 + 13*z**2\/2 - 3*z. Let s be c(11). Solve 5*f = s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26736, -53434, -80100, -106740, -133360?\nAnswer: -159966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3*r - 7. Let p(d) = -d**2 + 8*d. Let g be p(6). Suppose -3*x - g = 9. What is the tens digit of k(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25266171131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 19.38, 2, 5, 4 in increasing order.\nAnswer: 2, 3, 4, 5, 19.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -48 - -90. Let n be ((-60)\/8 + 7)\/(2\/(-36)). Suppose -51 = n*k - 159. What is the remainder when t is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - -12) + (0 - -1). Let i = 43 - 39. Suppose 4*s + 29 = c, -4*c - i = -s - q. Put s, -5, -3 in decreasing order.\nAnswer: -3, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-4)*(-9270)\/(-2781)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(3\/4)*y)\/(((y**(-6)*y*y)\/y)\/y))**24\/((y**(-1))**(2\/7)*(y**(-1)\/y*y)**28) assuming y is positive.\nAnswer: y**(1500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of h**4\/12 - 41*h**3\/3 + 1681*h**2\/2 - 3*h - 25. Factor o(j).\nAnswer: (j - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 0.1  (b) 1\/7  (c) 2\/5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2027, 5242, 10557, 17972, 27487, 39102, 52817?\nAnswer: 68632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7615 divided by 20?\nAnswer: 1523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (sqrt(832) + -2)*2)*3)**2 - (sqrt(832) + sqrt(832) + 4 + -2*sqrt(832) + (sqrt(832) - -1*sqrt(832)*2))*-2.\nAnswer: -1104*sqrt(13) + 30104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.5, -3\/5, 274, 77 in ascending order.\nAnswer: -3\/5, -0.5, 1, 77, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h - 3. Suppose 0 = -4*t, 7*y = 4*y - 4*t + 6. Let n be v(y). Let j = 0.9 - 1. Which is the closest to 3?  (a) j  (b) 3\/2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (11 + -19)*(-3 - (-57)\/18). What is the closest to 2\/7 in -2\/9, m, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20038409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*j = 33*j. Let -8\/3*p + 0*p**2 + j + 2\/3*p**3 = 0. What is p?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5780.3 + -5331. Let g = -506 + z. What is g rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.852906 times -3\nAnswer: -2.558718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away 1956?\nAnswer: -1959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/2?  (a) 1\/8  (b) 1  (c) 377\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (16\/(-70))\/(50\/1325 - (-232)\/(-530))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -5.5. Let j = c - 5.5. Sort 3, j, 3\/4 in ascending order.\nAnswer: j, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - 1030?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.008 * 0.04\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1132 + -8.7.\nAnswer: -1140.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 7*c**2 + 8*c + 4. Calculate m(-8).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1522321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n**2 + 2180*n - 534185. Calculate o(718).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1030?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -379, -520, -661?\n\"Answer: -141*t - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*l = 2*g + 19*l + 1, -5*l + 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 g when three letters picked without replacement from {g: 6, e: 1, b: 11}.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 67660\/1870 - (84 - 49)?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2 - t**3 + 37 - 11*t - 33 + 7*t**2 + 2*t.\nAnswer: -(t - 4)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - f + 133, b + 5*f + 63 = -2*b. What is the common denominator of 121\/24 and 6\/(1440\/b)*-21?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 14)*(1 - 2 + 2)*(-5*r + r + 6*r).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -197, -191, 1\/119?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.07?  (a) -28\/13  (b) -1\/8  (c) 0.061\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 351.7 - 387. Let o = v + 37. Let k = 2 - o. Which is the third smallest value?  (a) -0.5  (b) -2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -1, 4, -5, -221, -54, 3.\nAnswer: -221, -54, -11, -5, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1303628 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19*g + 10*g**2 + 19*g + (1 + 2 - 5)*(6*g**2 - g**2 - g**2) + (g - g - 5*g)*(-5*g + 4*g + 3*g).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -w + 49239, -3*w - 17*x + 147774 = -21*x. What are the prime factors of w?\nAnswer: 2, 3, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80 = -r - 3*r + 2*b, -268 = -14*r + b for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - -2)*-1*1. Let r = 5 - q. What is the lowest common multiple of 14 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1358157\/14 - -97568. Let z = i + -557. Let w = -16 - -17. Is z > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 69540*s**5 - 91654*s wrt s.\nAnswer: 1390800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 e when three letters picked without replacement from etwegeo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -166  (b) 5  (c) 18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5899  (b) -5  (c) 2\/3  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 43840.15 and 4.3281055.\nAnswer: 43844.4781055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 + 8*x**2 + 5*x + 7. Let g be q(-5). Suppose -21 + g = 4*i. Solve z - i = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17867*q**3 - 53109*q**3 + 17688*q**3 + 17743*q**3.\nAnswer: 189*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(27\/(-6))*2\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -9*g + 12*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/15 - (-17)\/5. Find the second derivative of 0*r**x + 1 - 2*r - 2*r**4 - 1 wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*x + 3*j, 14 + 3 = x - 4*j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -136*c**2 - 578*c + 512. Calculate w(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 - 9*f**2 - 6. Let k be h(-9). Let z = 8.918 - -2.082. Is z smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-5*6))\/((-103)\/((-440325)\/90))?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in 5, 0.08, 11, -156?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36479.92m to millimeters.\nAnswer: 36479920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 = 2*s - 7*s. Sort -2, -3, s in decreasing order.\nAnswer: -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14195479.2300231 - -14195170.23. Let b = y + 309. Round b to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (24\/(-9))\/4*-3. Let i(d) = -2*d**2 + 5 + 3*d - 8 + 4*d**2 + 8*d**3 + 4*d**3. Calculate the remainder when i(m) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -119551, -119710, -119869, -120028, -120187?\nAnswer: -120346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3362883269?\nAnswer: 37, 90888737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 59983.52 rounded to the nearest one thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*j*s**2 + 123245*j*s*v - 341*j*v - 20*v + 3 wrt s.\nAnswer: 4*j*s + 123245*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 4*q + 17. Let o be r(-3). Suppose 1681 = 5*t - 3*f, 1332 = o*t - t + 4*f. List the prime factors of t.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 9:40 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 3*j - u, -3*j = u - 5. Let a be 4 + j + (-1 - 1). Suppose -5*o + 1440 = -a*o. Round o to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -81 + 81.49. Let g = 34.51 + f. Let r = g + -34.33. Round r to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (95*b - 95*b + 7*b**2)*(-4*b**2 - 9*b + 9*b).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5336 - -5333. Which is the nearest to 2\/7?  (a) 162  (b) k  (c) -5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hll when three letters picked without replacement from {l: 1, z: 4, i: 4, m: 1, x: 7, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(7) - (2 + sqrt(7)*-2)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.3 + 1. Let h = -1.086 - -14.086. Sort h, -0.2, z in descending order.\nAnswer: h, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of x**4\/28 + x**3 + 39*x**2\/14 + 19*x\/7 - 178. Factor v(d).\nAnswer: (d + 1)**2*(d + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*i**3\/4 + 229137*i**2\/2 - 4175208*i + 1651752 = 0. What is i?\nAnswer: -30588, 2\/5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/50 and -49\/1784715?\nAnswer: 17847150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2470191?\nAnswer: 3, 29, 28393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -401148 times 0.99\nAnswer: -397136.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-44))\/(988\/16302)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -3*g - 118, -105*b - 2065 = -70*b - 5*g for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2957 + -2952. What is the third smallest value in c, -9\/2, -0.14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -7. What is the least common multiple of (-52)\/(-10) - ((-14)\/(-35))\/s and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 3*y**3\/7 - 147*y**2 - 69840*y\/7 - 1088100\/7 = 0.\nAnswer: -30, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2\/4 - 372\/(-8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -35*h**5 + 45*h**4 + 130*h**3 - 180*h**2 + 40*h = 0.\nAnswer: -2, 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1715?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from uuj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -638 = -14*w - 792 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**4 - u**3 - u**2 + 1. Let n(a) = -278*a**4 + a**2 - 1312. Let p(l) = -n(l) - v(l). Find the first derivative of p(m) wrt m.\nAnswer: 1108*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 60, 79, 1 in ascending order.\nAnswer: 1, 60, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/2*(4 + -16). Let a(o) = 2*o**2 - o + 1. Let r(k) = -2*k**2 + k - 1. What is l*r(y) - 5*a(y)?\nAnswer: 2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -47 - -76. Suppose 4*c = -z + 9. Let d = -67\/3 + 22. What is the closest to d in c, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -25 + 99. Let q = 77 + a. Let r(p) = q*p + 6 + 13*p - 17*p + p**2. What is r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 5, -136\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.01424 + -202.88576. Round i to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 197 - 125 = -2*n, -5*n + 15 = 0. Calculate the highest common divisor of 711 and f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 55538*i. Let s(d) = 18*d**2 - d. Give s(a(p)).\nAnswer: 55520449992*p**2 - 55538*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 - 3*t**2 - 3*t - 3. Let h be w(4). Let i be 0 - h\/(-3)*1. Let v = -25 + 23. Which is the third smallest value?  (a) v  (b) i  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9451 - 18975 + 9399 + 22*v + 2*v - 6*v.\nAnswer: 18*v - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 2*d - 86 - 46, -2*d = -i + 36. Solve -20 = i*y - 53*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -1) + (3 - 1) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c1 + 3c66b?\nAnswer: 3c72c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1\/5, 0.08, -8\/5, 5.\nAnswer: -8\/5, -1\/5, 0.08, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of -161*t**2 - 8847. Let j(a) = -4*a**2. What is j(x(s))?\nAnswer: -414736*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -y - 2*s - 1, 12 = y - 5*s. Suppose 5*k - 264 = -y*c, 3*k + 3*c - c - 160 = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 6.319324 micrograms?\nAnswer: 0.000000000006319324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v - 5. Let y be n(-5). Let u be (-5)\/y + 1 + (-478)\/(-6). Is (-18)\/u + 4036\/18 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3097888227 + 27319?\nAnswer: -3097860908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5569, -11398, -17227, -23056?\nAnswer: -28885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 59 and 7260009.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 27) + (32 + -17 + 0 - -40)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -1) + (9 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -4. Let l = 9 - f. Suppose 0 = l*h - h - j - 16799999, 5*h - 4*j - 20999996 = 0. Round h to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 5, i: 7, t: 3, d: 4}. Give prob of sequence tixd.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 199534 + -1396722\/7. Solve -12\/7*p**4 + 4\/7*p**2 - 2\/7*p**5 + 8\/7 - v*p**3 + 18\/7*p = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in -120\/7, 2\/3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -17105.1624 rounded to the nearest integer?\nAnswer: -17105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 77490 + 108112. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43604 (base 13) in base 9?\nAnswer: -205132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6467 is divided by 2859.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - k - 35 = -2*k, -4*v - 5*k = 91. Let n = -8 - v. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3264*l**3 - l**2 + 16*l + 5. Let w be p(-5). Round w to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 4*g - 52, 4*g = 2*r - r + 36. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -53*k - 166. Give l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + 6. Let y = 60.1 - 51. Let m = y - t. What is the second biggest value in m, -1\/2, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -18, 1, -1, 18 in descending order.\nAnswer: 18, 1, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*k - 192 = -6*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.15  (b) 10.4  (c) -7  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27 + -18. What is the least common multiple of a and 1 + (2 - (-10)\/2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*5\/60*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -3*x**3 - x**2 - 6*x - 4. Let g be h(-2). Let r be (0 + 4)\/((-4)\/(-14)). Calculate the greatest common factor of g and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2 = 2*q - 18, v = -5*q + 14. Differentiate 3*c**4 - v*c**2 - 10*c**2 - 24 + 7*c**2 with respect to c.\nAnswer: 12*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 6 = 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*o + 4. Suppose 5*g - 31 = -2*k, -3*k - o*k + 4*g = -61. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/126 + 6\/21 - (-2)\/14*-59?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.043 and -3325340?\nAnswer: 3325339.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-8))\/(z*z*z**2)*(z*z**(-2))**47)\/((z**(-2\/13)\/z**(-1\/2))\/((z\/(z*z**(-5)))\/(z\/(z*z*z**3*z)))) assuming z is positive.\nAnswer: z**(-1257\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*b**4\/2 - 329063*b**3\/2 - 422949*b**2 - 201394*b - 26852 = 0.\nAnswer: -6713, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from byyyyyybyyyybybbyyb. Give prob of sequence yb.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 6703612 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 49581733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p, 1 u, and 1 g when four letters picked without replacement from zzzpagappgapua.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together -770398620 and -0.1.\nAnswer: -770398620.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.008 times -37.831\nAnswer: 0.302648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.191 minus 0.2?\nAnswer: -0.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 997*w + 1162 = 1080*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.582777 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27732017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - 4865\/(-595) - (-11)\/323.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -1390215\/44 - -31594. What is the common denominator of -65\/99 and u?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 + 286*q**3 - 284*q**3.\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1019098 and -0.4?\nAnswer: 407639.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 156*p**2 - 1311*p - 12. Let c be j(-164). Is c <= -237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2069886437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 170 = -3*z + 155, -3*z + 6*d - 27 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 465177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -7\/3*r**3 - 40*r + 0 - 113\/3*r**2 = 0. Calculate r.\nAnswer: -15, -8\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14234\/858 + 1\/13 - 15.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8922478 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -3*c - 1, -2*c = -5*p + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8558.\nAnswer: 2, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (117\/(-78))\/((5\/2)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3834295 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 84\/(-224) + 2779\/7368. Is g equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2 - 18873*a + 245856.\nAnswer: -3*(a - 13)*(a + 6304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 96, 400, 906, 1614, 2524, 3636, 4950?\nAnswer: 6466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1303710 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22824\/289 or -78?\nAnswer: -22824\/289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102) + (sqrt(102) - sqrt(102)*-2)*2)\/((sqrt(6) - sqrt(24))*4).\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of -q**4\/4 + 7*q**3\/3 + 9*q**2 - q + 35. Let b be j(9). Let y be b - (-2)\/(0 - -1). Which is smaller: -1\/18 or y?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -375 - -60?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**5 + 48*f**4 + 740*f**3 + 3958*f**2 + 5883*f + 2618 = 0 for f.\nAnswer: -22, -17, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**2 + 7*a - 18. Let k be n(12). Let o = k + 80. Let b(j) = -j + 0*j**2 - 2*j - 2*j**2 + o*j. What is b(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 4*a - 28 = 5*r, -2*r - 4 = 2*a. Let p(u) = -8*u - 8. Let h be p(r). Suppose 11 + h = 5*b. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 5:26 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*d - d + 0*d**2 + 17*d**2.\nAnswer: 17*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5007742 divided by -5?\nAnswer: -5007742\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 31 = -26. Suppose -2*a + 2*u = u - 11, -3*u = z*a. Suppose w - 755 = -4*v, -a*w + 15 = 2*w. Round v to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -2 - (-4 + 0 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2, -2\/25, 28?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 3*v**2 + v + 1. Let k be m(-1). Suppose -k*l = 6 - 201. Is 24 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112812 is divided by 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 PM and 12:48 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4382470 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + 12\/3 - 371\/212. What is the closest to -1 in z, -1, -14, 180?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 164 and 697.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0574 + -0.5574. What is the second biggest value in i, -8\/3, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10303*m + 33 = 10314*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 250 divide 899124250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -212.35  (b) -2  (c) -1  (d) -0.1  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000002039 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 + 11. Let c(x) = 128*x + 2. Let d be c(-4). Let f be d\/9*(-120)\/25. What is the greatest common divisor of p and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9937015*n*r**3 + 2*n*r**2 - 8*n*r - 2*n - 16*r**3 - 32*r**2 - 39*r - 5 wrt r?\nAnswer: -59622090*n - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -175*n - 63*n + 2856 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1852323 by 33.\nAnswer: -56131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -6595887.\nAnswer: 1\/2198629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c - 1. Let l(t) be the third derivative of -t**6\/120 - t**5\/60 + t**4\/24 + t**3\/2 + 315*t**2. Let z be -3*(-6)\/(-9) + -1. Determine z*d(x) - l(x).\nAnswer: x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 23*i - 89. Let a(l) = 67*l - 268. Let h(n) = -2*a(n) + 7*p(n). What is the derivative of h(y) wrt y?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4*u + 20 = -5*s, u - 7 = 2*s. Let x be (-1 + 194 - u) + 0. Calculate the highest common divisor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 + 19*m**2 - m + 19. Let n be a(19). Suppose -2*q - 5*d + 218 = 0, q - 9*d + 10*d - 106 = n. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 111 = 31. Solve -20*g = -a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12589 is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 291599 and 21703.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 3)*(0*m - 2*m**4 + m**4 + m).\nAnswer: 2*m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 305854 bigger than 305862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*n)*(n**4 - n**4 + 2*n**4) - 2*n**5 + 2 - 2 + (-3*n + 13 - 13)*(-2 + 2 + 3*n**4).\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27 - -28. Let d(l) = -v + l**2 + 0*l + 3 + l + 1. What is d(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((5*sqrt(91)*2*-4)\/(sqrt(112) + (-2*sqrt(112) - sqrt(112))*5)*1)**2*-2.\nAnswer: -1300\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.7 + -3.4. Let z = 1.82 - g. Let b = -0.08 - z. What is the third biggest value in 2\/25, b, 2\/13?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 3, -6\/5, -27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3  (b) -0.07  (c) 4  (d) -4\/5  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + (-19 - (0 + -15)) - 38.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 51, -3, -61, -123?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + f = 13, 4*c - 3 = -9*f + 10*f. Solve 19*j + 17*j - 38*j + 2*j**c - 24 = 0 for j.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 19*w - 210. Give f(9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 151348274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 divided by -39?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5771201490 and 0.8945.\nAnswer: -5771201489.1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*b = 1779 - 1411 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 1 - 3 + 4 + 3 + 31*m. Let k(g) = -30*g - 4. Let j(t) = 4*d(t) + 5*k(t). Let u(y) = y. What is j(u(o))?\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h - 14570*h**2 + 14593*h**2 + h.\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -648 - -693. Suppose 1450*h - 1445*h = n. Solve -25 = -4*u + h*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 7*t**2 + 3*t + 12. Determine y(-6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90739*x**2 + 157429*x**2 + 149695*x**2 + 88291*x**2.\nAnswer: 304676*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 2:33 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3294.6 - -3295. Sort g, -3, 3\/2, -5, 2\/283 in decreasing order.\nAnswer: 3\/2, g, 2\/283, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2196, 2227, 2298, 2427, 2632, 2931, 3342, 3883?\n\"Answer: 3*t**3 + 2*t**2 + 4*t + 2187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**2. Let a(k) be the second derivative of -5\/4*k**4 + 0*k**3 + 0*k**2 + 0 - 23*k. Give q(a(f)).\nAnswer: 450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 5*m**2 - 6*m + 5. Let h be (-13)\/(14\/(-4) - -4). Let i = h - -30. Let v be k(i). Let t(z) = -z. Let l(c) = -c + 1. Determine v*t(g) + l(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -k**3\/3 + 5*k**2 + 11*k + 1. Let b(f) = -f**2 - 21*f - 43. Let m be b(-18). Let i be u(m). Is 0 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1126835358.\nAnswer: 2, 3, 11, 677, 25219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, -3, 1\/9 in descending order.\nAnswer: 4, 1\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -11575 greater than or equal to -11575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28 and 1409196?\nAnswer: 9864372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 12:05 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -u - 7. Let z be ((-2)\/(-2))\/(u\/17 - -1). Let m = z - -19. Solve 0 = -m*b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 371 a factor of 478618947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612) + 1 + -2)*-6)**2 + -2 + ((sqrt(850) + sqrt(34) - sqrt(34))\/sqrt(2))**2 + 5.\nAnswer: -432*sqrt(17) + 22496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14069021 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 4*h + 42 = 0, -19 + 3 = 4*h for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 564820 and 760?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 53*o - 109. Determine s(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 737268.3 take away -2.3474?\nAnswer: 737270.6474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of n**5\/15 + 590*n**2. Let c(j) = -47*j + 2. Calculate k(c(v)).\nAnswer: 8836*v**2 - 752*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -1\/7, 32, -146\/5, 2\/5 in decreasing order.\nAnswer: 32, 2\/5, 1\/4, -1\/7, -146\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 39*w**2 - 307*w - 42. Determine s(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 30 = 4*f, 2 = -2*x + x. Calculate the remainder when 70 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 828391?\nAnswer: 23, 36017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2973.111 months in decades?\nAnswer: 24.775925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8961.723l?\nAnswer: 8961723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1412, 1828, 2244, 2660, 3076?\nAnswer: 3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211*o + 251*o - 2279 = -225*o + 740*o for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 21714 - 10686 - 10863 - r as q + v*r and give q.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -105.4 - -105. Let k = -0.3 - -0.2. Which is the third biggest value?  (a) 2\/3  (b) k  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2206*v**2 + 88*v + 2205*v**2 + 1068*v to the form k + z*v**2 + s*v and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 51 and 408?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (202 - (425 + -207)) + 0 + -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -0.4  (c) -5  (d) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25 and 5905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of 33*q**5\/20 + 3*q**4\/4 - 153*q**2\/2 + 14*q - 9. Differentiate h(o) wrt o.\nAnswer: 99*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 14 = 5*b, r - b = -0*r - 2. Suppose h = -4*q - 13, 0*h - 2*h = r*q + 2. Suppose -1148 = -y - h*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*l + 3000 = 61*l + 103*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 7:16 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2293321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/((-15)\/12)*34\/(-612)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1310 - 3354 = -213*h + 10125 + 4871 for h.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4544931 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 32993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 117167526*i**4 - 140911*i**2 - 162 wrt i?\nAnswer: 2812020624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 726 - 649. What is the remainder when 307 is divided by a?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 + 1569 = 13*p. Let t = p - 60. Let f be t\/(-24)*45\/(-6). Solve 0 = -2*b - s - 1, -3*s + 1 = -2*b - f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5898 + 5897. Let m be 7\/18 - (0 - 0). Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47899497 is divided by 2993718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 1413*q**2 - 1421*q**2 + 2836*q**2.\nAnswer: 2*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x. Let l(u) = u. Let p be l(1). Let y be q(p). Let k = 1 - 1. Is k at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-1*(sqrt(2) - sqrt(72)) - -6*sqrt(12)\/sqrt(6))*3)**2.\nAnswer: -330*sqrt(2) + 2203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 100*c - 204. Let f(w) be the first derivative of 0*w - 14 + 7\/5*w**c - 9\/20*w**2 - 49\/40*w**4. Determine y, given that f(y) = 0.\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4504070 is divided by 40946.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -164*w + 204 - 107 - 4853 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1106 + 574. Let y = -4179\/8 - j. Find the common denominator of 9\/8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of 0*g**4 + 0*g + 0*g**3 - g**6 + 5\/2*g**2 + 0*g**5 - 4. What is the second derivative of c(n) wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12213 + 12010111?\nAnswer: 12022330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/257 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 - (-2314)\/312*4.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11)\/(-4) + 7\/28. Let t(q) = -4*q. Let u(g) = -5*g + 1. Calculate y*t(f) - 2*u(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - q - 1896, -4*b - 6*q + 4*q + 3816 = 0. What is the remainder when b is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*d + 298 = 0, 4*t + d = -4*d + 428. Suppose 3*s + 21 - t = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hkh. What is prob of sequence hkh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u**3 + 15*u**2 - 2*u. What is c(6)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**11)\/m)\/((m**(3\/4)\/m)\/m)*((m**4\/m)\/m)\/(m\/m**11))**(-18) assuming m is positive.\nAnswer: m**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -81 + 90. Calculate the lowest common multiple of (k + -5)*(-21)\/(-2) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1893 + 4941. What are the prime factors of (-8)\/10 + q\/60?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 27 = 54. Let d(p) = 2*p + 9. Give d(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 469.8 - -3650025389.\nAnswer: 3650025858.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, -5, 2, 7335, 13, -3 in decreasing order.\nAnswer: 7335, 13, 3, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (16\/(-18))\/(2644\/(-5949)). Determine d, given that -2\/9*d**m - 164\/9*d - 3362\/9 = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21202102 - 2242?\nAnswer: -21204344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0013161 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c**4 - 100*c**3 + 164*c**2 + 484*c - 552 = 0. Calculate c.\nAnswer: -2, 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.191 times -0.184\nAnswer: 0.035144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -3*n + 439, 2*n + 7 = 1. Let o = 120 - d. Solve -2 = -3*b - o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26 (base 13) to base 14\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100011011111100001010110 (base 2) to base 9.\nAnswer: -18450804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -7*y + 1. Let q(x) = -x**3 - 3*x**2 - 3*x. Let l be q(-2). Determine h(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 38498, 0.511, -0.5 in decreasing order.\nAnswer: 38498, 0.511, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -45*-49*125\/(-6125)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - 8*z + 9. Let n be w(7). Let c be (48\/(-10))\/(n\/(-5)). Solve -s - 18 = 4*f, -5*s - f = c + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 6 = 2. Suppose -14 = -2*j - 3*o, 7*j - 22 = 4*j - 5*o. Let s be 3 - j - (0 + -1). Sort 3, k, s in decreasing order.\nAnswer: 3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 + 0)\/(36\/(-3072)). Let r be 2\/3*(-48)\/a. Is 0 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(0\/4 - 1). What are the prime factors of (14\/1 - 1)*r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 418540993*p - 5169275. Let j(w) = -12145*w + 150. Give 206771*j(l) + 6*q(l).\nAnswer: 12163*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1129, 2232, 3315, 4378, 5421?\n\"Answer: -10*y**2 + 1133*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-15)\/(-3)*1*1. Solve 0*s + r*s - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 divided by -7?\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-12)\/36 - (-176)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 302, 4, 6102, -3 in descending order.\nAnswer: 6102, 302, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1200 = o - 5*w, 5*o = -2*w + 7*w + 6000. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**2)**(-1\/4))**(-45) assuming c is positive.\nAnswer: c**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -5*i**3 + 8*i**2 + 3*i - 2. Let q(l) = l**3 - l**2 - l. Calculate -3*q(t) - u(t).\nAnswer: 2*t**3 - 5*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**4 + m**4 + m**4 + (3 + 2 + 2)*(29*m + 12*m - 154*m)*(2*m**3 + 2*m - 2*m).\nAnswer: -1581*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6 - (-6 + 2 - -4). Suppose 6 + 6 = 2*s. What is the greatest common factor of s and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - 1716*p - 17258. Give h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 + -42. Suppose -35 = -0*t - 5*t. Let c = s + t. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7236*j**4 + 863*j**2 + 3965*j + 7559 wrt j?\nAnswer: -86832*j**2 + 1726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -113 + (-27 + 41 - -27).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 + -134. Let w = f - -204. Suppose -4*i = -2*i - w. 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 10, what is -2 - 181549147?\nAnswer: -181549149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**6\/b*b)\/(b**(12\/5)*b)*(((b*b\/(b\/b**(4\/3)))\/b)\/b)\/(b*b**(2\/7)) assuming b is positive.\nAnswer: b**(173\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17561, 18425, 19281, 20129, 20969?\nAnswer: 21801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5198 and 9718.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 + 22*h + 207. Let p be c(-7). Let m = -61\/3 + 20. What is the closest to -1\/3 in -2\/11, m, 3, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2, -2\/5, -0.5, -8601 in increasing order.\nAnswer: -8601, -0.5, -2\/5, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -233*o**3 - 2*o**2 - 5*o. Let q(w) = 1163*w**3 + 11*w**2 + 27*w. Determine -11*p(f) - 2*q(f).\nAnswer: 237*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7790 and 8569.\nAnswer: 85690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98*c**5\/15 - 4564*c**4 + 453738*c**3\/5 + 3823556*c**2\/15 - 837288*c\/5 + 124752\/5 = 0. What is c?\nAnswer: -3, 2\/7, 23, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -4*v**3 - 248*v**2 + 250*v + 250. Give h(-63).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -57324 divided by -47\nAnswer: 57324\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*s**4 - s**4 + s**4 + 41*s**3 - 3*s + 9*s**4 - s**4 as d*s**4 + u*s**2 + h*s**3 + b + l*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132259?\nAnswer: 19, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 615*g**2 - 260*g**2 - 370*g**2 + 678*g**2 + 860*g**2 in the form c + t*g**2 + l*g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 15 = 0, 4*d + 2*i - 114 = 152. Suppose -2*w + d = -3*u - 108, 2*u - 5*w = -110. Let k = -41 - u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 80, -10\/17 in descending order.\nAnswer: 80, 5, -10\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b + 13. Let y be j(8). Suppose -5*w = -5*h + 2 + 8, 0 = -4*h - y*w - 1. Suppose -m - 2*f + 16 = 4*m, 0 = 5*m - 5*f - 30. Sort -8, -2, m, h.\nAnswer: -8, -2, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 4*y = -5*i + 72072, -28824 = -2*i - 4*y. Let v be i\/476 + (-4)\/14. Let j = -44 - -194. What is the greatest common factor of j and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*w + 49*w = -3*v + 24, 5*w = -4*v + 41 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -400 divided by 1\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -390*t + 5*t**3 + 390*t.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) 4  (c) 0.8  (d) -0.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.65824734 less than -0.1553?\nAnswer: 5.50294734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*w = 79*w - 51. Solve w*d - d = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 792625?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -32233232001 (base 4) in base 8?\nAnswer: -16575601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**3 - 2*c**3 + 2*c**3)*(-2*c + 3*c + c) + 23*c**4 + 5577*c**3 + c**4 - 5562*c**3.\nAnswer: 28*c**4 + 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1850.853kg in milligrams?\nAnswer: 1850853000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 5*u - 10 = 0, 4*g + 5*u - 36 = 4*u. Suppose 0 = 2*f + 6 - g. Differentiate -22 - 2*y**3 + 0 + 0*y**3 - f*y**3 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 + 8*m**2 - 7*m + 12. Give v(-10).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1\/g)**(2\/5) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, x: 1, u: 1, e: 2, s: 1, t: 1}. Give prob of sequence tsu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3.39903 and -2732969040.\nAnswer: -2732969036.60097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -5*v - 1. Let k be ((-57)\/19)\/(-1*3). Give w(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(4)\/sqrt(2)))\/(sqrt(12)\/sqrt(2)*3).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 110 and 253275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (54\/(-12) - -4)\/((-44)\/48). Which is the nearest to 2\/9?  (a) -0.5  (b) r  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(2 + (-11)\/5). What is the remainder when 2 + o\/(5\/21) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/2, -2\/5, -2, -27.5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*a - 5*a + 163 + 5*a**2 - 298.\nAnswer: 5*(a - 9)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17052.76094 rounded to the nearest integer?\nAnswer: 17053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 13691 (base 11) to base 10\nAnswer: 19460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 129, 257, 369, 459, 521?\n\"Answer: -x**3 - 2*x**2 + 141*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -499, -500, -509, -532, -575, -644, -745, -884?\n\"Answer: -w**3 + 2*w**2 - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 461*s**2*z**2 + 26880*s**2 wrt z?\nAnswer: 922*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 65621184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 10:14 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 92591, 185079, 277565, 370049, 462531?\nAnswer: 555011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 2*g + 6. Determine s(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + g = -2*g - 14, -6 = -5*m - 2*g. Let t(d) = -2*d**2 + 4*d + 3*d**m - 4*d. Let b(j) = 13*j**2. Give t(b(n)).\nAnswer: 169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 745, 5825, 19607, 46441, 90677?\n\"Answer: 725*c**3 + c**2 + 2*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 2*k + 18 = 0, 3*g + 3*k - 8 = 7*g. List the prime factors of (456\/(-9))\/(g - (-42)\/9).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = w - 2*i, 0*w = -5*w - 2*i + 149. Let z = -7 - -30. Let g = w - z. Solve -3*d = -g*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 494\/7837 or -2?\nAnswer: 494\/7837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q. Let a(x) = -14*x - 11. Let m(w) = 17*w + 11. Let y(d) = 4*a(d) + 3*m(d). Calculate -3*o(g) + y(g).\nAnswer: -2*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 6, 3, -172, 299, 0, 7 in decreasing order.\nAnswer: 299, 7, 6, 3, 0, -1, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 7  (b) -2\/7  (c) 0.09  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 3*g - 9. Suppose 0 = -q + 4*n + 8 - 2, -46 = -g*q - 2*n. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31002435 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m*m*m*m\/(m**(-1\/4)*m)*m*m)))**(3\/2) assuming m is positive.\nAnswer: m**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 1 + -2 - (-70)\/28. Let p(k) = -k - 13 - 2*k + 5*k. Let r be p(6). Which is the biggest value?  (a) 0  (b) 3\/8  (c) r  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**4 + 3300*o**3 - 3295*o**2.\nAnswer: -5*o**2*(o - 659)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -172, -86, -1, 0?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62 is divided by 54?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8.39 * 54.18.\nAnswer: -454.5702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -2*t - 6, 3*c + 3*t - 10 = 5. Solve -8*y - 4 = -h - 10*y, -c*y = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 395958000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 11 = -16. Let f = -7 - d. Suppose -f*s - 2 = -6. Solve -4*r - 4*c = -7*r + 4, -s*c - 2 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4598b (base 12) to base 5\nAnswer: -10433422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 0*m + 2*m + 0*m. Let j(d) = d + 5. Let k(b) = -1. Let i(v) = -j(v) - 5*k(v). Let t(a) = -6*a**2 + 3*a. Let l(o) = 3*i(o) + t(o). What is l(q(c))?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 17*x**2 - x. Let b be k(-1). Suppose -4*v + 60 = 12. What is the tens digit of 2\/v + 1977\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 4*s = -5*t, -4*s = 0. What is the lowest common multiple of (-36 + t)*(-17)\/34 and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 5 - 10 = 0, 2*d + 14 = 5*q. Let a(y) be the first derivative of y**4\/4 - 2*y**3\/3 - 3*y**2 + 6*y + 2. What is a(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + -9*3\/(-9). Which is smaller: t or 3\/160?\nAnswer: 3\/160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*v**5\/3 + 37305*v**4 - 248929480*v**3 + 1275904262780*v**2\/3 = 0. What is v?\nAnswer: 0, 2611, 9886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.7 times -38?\nAnswer: -1280.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4 - 5722*d**3 + 1858780*d**2 - 155539800*d.\nAnswer: d*(d - 5382)*(d - 170)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 2 + 0 = -q, 5*i - 5 = 5*q. Let h(v) = 5*v**2 + 0 + 5*v + i - 13*v**2 + 9*v**2. Give h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(68))\/((2*sqrt(16))\/sqrt(4) + sqrt(4)) + 2*(-5*2*sqrt(2057) + 0).\nAnswer: -662*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (20\/60)\/(2\/(-1122)). Let n = w + 400. What are the prime factors of n?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 108*t**2 - 2*t + 1. Let n be 0 + 2\/(-2) - -2. Let r be c(n). Suppose 4*z = -3*y + r, -2*y + 40 + 32 = 2*z. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*l - 4, -f = 4*l - 15. Let r be 6\/8*2*(-9 + f). Suppose 4*p = -u - 4, u - r*p - p - 12 = 0. Solve 0 = -2*i - 5*k - 5, i + u = -0*i - 3*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 6)*(-3 + 3 - 3*s) - 3*s + 5*s + 0*s + 0*s - 4*s + 3*s + (22 + 52 + 8)*(7*s - 6 + 6).\nAnswer: 578*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 64 + -60. Solve 4*x = 5*x + v + 3, 0 = -l*v - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -5  (b) -9\/5  (c) 0.3  (d) -3\/8  (e) -172  (f) -0.5  (g) 18\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40718117 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(3\/11)\/i)**(1\/88) assuming i is positive.\nAnswer: i**(-1\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 + 10*u - 3. Let t be z(7). Let v be (-1)\/3 + 60\/t. Solve 3*s + 5*x + 13 = 0, x + 10 = v*s - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3805, -3818, -3821, -3808, -3773, -3710, -3613, -3476?\n\"Answer: b**3 - b**2 - 17*b - 3788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 314\/9*u**3 + 2\/9*u**5 + 64\/3 + 584\/9*u + 72*u**2 + 20\/3*u**4 = 0?\nAnswer: -24, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -1. Let q(r) = -r - 1. Let p(s) = -2*q(s) + 2*t(s). Let u(c) = -4*c. Let n(y) = 13*y. Let x(w) = -n(w) - 3*u(w). Calculate p(x(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5192\/472*12\/(-11)*-2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -680380\/163 and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -22 + -30 + 54 + -31.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -48 - -73. Let d = -109 - -133. Let m = j - d. Put m, -1, 4, 3 in increasing order.\nAnswer: -1, m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6338702 divided by 2.\nAnswer: 3169351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -304922540 divided by -409292?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3927 + -1189886\/303. Calculate the common denominator of 73\/3 and u.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -6886804.\nAnswer: -3\/6886804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of h**8\/112 - h**5\/30 - 47*h**4\/8 - 70*h**2. What is the second derivative of l(p) wrt p?\nAnswer: 60*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 9*m**2 + 27*m + 58. What is the tens digit of a(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 22\/2 - (11 - 15). Let x be 20*(3 - 15\/6). What is the highest common factor of x and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2)*84*(-96)\/66528.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 369538554.\nAnswer: 2, 3, 7, 11, 17, 47051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*(286\/12 + 3\/18). Let i = x - -103. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*l - 48*l - 48*l - 10*l.\nAnswer: -79*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1442 at least -1441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*r - 4*a + 312, -9568*a + 9596*a = 4*r - 156 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (44\/(-12))\/((-1)\/(-3)). Is -12 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h + 3. Let n be (-1 - 2)*1*(6 + -5). Let y(x) = -1. Let f(t) = 5*t - 15. Let w(z) = 2*f(z) - 14*y(z). What is n*w(s) - 16*b(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -26445694\nAnswer: -2644569.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32058 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 - 22940*i + 278738184.\nAnswer: -4*(i - 5959)*(i + 11694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -35145, 1, 5, 2 in increasing order.\nAnswer: -35145, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 826 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) - -5*(sqrt(108) + sqrt(108) + (sqrt(108)*-2)**2 - sqrt(108)))*1.\nAnswer: 36*sqrt(3) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -65*c**2 + 36*c - 4. Let z be l(3). Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, -7, -37, -101, -211?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, v: 3, x: 8, y: 4}. What is prob of picking 1 y and 2 o?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/8)\/n)\/n)\/(n**(1\/7)\/n)*(n\/(n\/n**(-1))*n*n)**(-11\/4)*((n**3\/n)\/n**(-2\/9))\/(n**(-5\/4)*n**(-6)) assuming n is positive.\nAnswer: n**(2749\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of -7*a**5\/20 + 7*a**4\/2 - a - 5. What is the third derivative of w(d) wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 - -23.5. Round a to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 4 = 3*m - 3*a, -30 = -3*m - 5*a. Let f(r) = -12*r - 3. Let c be f(-2). Suppose -14 - c = -m*j. Is j at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 AM and 5:49 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5572, -17867, -36902, -62683, -95216, -134507, -180562, -233387?\nAnswer: -292988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -10*g + 12. Suppose 0 = -g*s - 18 - 2. Let n(c) = -8*c - 9. What are the prime factors of n(s)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/405 and 4\/35.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 677, 1352, 2027, 2702?\n\"Answer: 675*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25*u**3*v**2 - 11*u**3 - 2*u**2*v**2 - 147*u*v**2 - 18*u*v wrt v?\nAnswer: 50*u**3 - 4*u**2 - 294*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28795\/638 + 1210\/29. Calculate the common denominator of 97\/12 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2147 and 904?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -199, -4, 5 in ascending order.\nAnswer: -199, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5448\/11 + -495. What is the biggest value in 2, 2\/3, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from njgnonnggnotnj. What is prob of sequence ognn?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 2*n - 111, -4*j + 91 + 64 = -5*n. Let s be (-3)\/(-33)*j + -3. Sort -3, -0.3, s.\nAnswer: -3, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**5 + 1282*u**4 + 672443*u**3 + 75773460*u**2 + 75102300*u = 0.\nAnswer: -210, -1, 0, 1703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Solve -6033*m = -4391*m + 5990*m + 141190 + 331994 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-1) + 1\/1. Let p be (-1)\/2*-1*i. Let v(c) = 8*c + 446. Let k be v(-55). Solve 2*m + k = -p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oho when three letters picked without replacement from ooohoooohooooooooooh.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 18693752 divided by -4\nAnswer: -4673438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 2*i - 17 = 5*w, -2*w = 5*i + 22. What is the units digit of ((-551)\/(-57))\/(w\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 1)*(3 + c**2 - 3) - 1345*c**2 + 65*c + 72*c + 73*c - 210*c.\nAnswer: -1343*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4559552 is divided by 168867?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b**2 - 29*b + 7. Let p(v) = -v**2 - 15*v + 4. Let r(c) = -12*c**2 + 282*c - 131. Let o be r(23). What is o*p(n) - 4*a(n)?\nAnswer: n**2 + 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -76 - (26 + 2 + (-3 - 21) + -1 + 8).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 114205 or 114202?\nAnswer: 114202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2. Let q(m) = 334*m**2. What is z(q(p))?\nAnswer: 111556*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 351849202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**3 - 1918*c**2 - 1582*c.\nAnswer: -6*c - 3836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 0)*(0 + 1 + 0)*(0*y**4 + y**4 + 0*y**4)*(-y + 1 - 1).\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 18, -6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of 0 - 1\/24*z**4 + 0*z - z**2 + 0*z**3. Let f(o) be the second derivative of o**4\/3 - o. Calculate p(f(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 20036 (base 14) to base 11\nAnswer: 52841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20\/(-3)*(-117)\/26. Let k be (2103\/6)\/(j\/12500)*-48. Round k to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 125*f - 2166. What is g(103)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-132)\/(-15) - 8\/(-40). Suppose 5229 + 414 = w*m. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2564 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4947.9 + -4767. What is w rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - -1 - 10740\/10. Is (d\/24)\/((-1)\/4) 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 67246879?\nAnswer: 7, 9606697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70, 266, 588, 1036, 1610, 2310?\nAnswer: 3136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 38\/31075 and -53\/91300.\nAnswer: 10316900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 + 0)*(-6)\/4. Let n be (-3)\/(-3) + x - -1. What is the lowest common multiple of (3\/(-9))\/(n\/24) and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3719?\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3205001\/5 - -641005. Let -4\/5*w**2 - z + 28\/5*w = 0. What is w?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 25301242\nAnswer: -7590372.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 54 and 1605231?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*r - 1344 + 1344 = 93*r + 68*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*(-350)\/(-1400)*544\/18?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 27, 50, 71, 90, 107?\n\"Answer: -s**2 + 26*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 8*w**2 - 1382*w + 56019. Give y(65).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 - 2*p**2 + 3*p**2)*(-p**2 + 0*p**2 - 3*p**2) + (p**2 - p**2 - 2*p**3)*(2 - 2 - 2*p) - 2*p**4 + 0*p**2 + 0*p**2 + 3*p**4 - 5*p**3 + 5*p**3.\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0185620316 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*7 - (-3 + 6). Suppose -18 = -p*w + 6. Calculate the least common multiple of -2*-3*(-8)\/(-6) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 4*s**3 - 70*s**2 + 53*s - 519. Calculate q(17).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**3*o**2 - 2*l**3*o - 60*l*o**4 - 166*o**2 + 9*o - 591 wrt o?\nAnswer: -2*l**3 - 720*l*o**2 - 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 16 + -4 + 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m + 35*m = 3696. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8.504 - 9.504. Let w(f) = 2*f**2 + 6*f + 2. Let x be w(-4). Which is the closest to y?  (a) -0.2  (b) x  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 25*n**2 + 2*n - 1. Let p(j) = -j**3 - j**2 - j + 1. Let u(x) = x**3 - 51*x**2 + 2*x - 101. Let i be u(51). Determine i*o(c) + p(c).\nAnswer: -2*c**3 + 24*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*n + 4057 - 4*n + n - 4*n - 688 to w + x*n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 + 4*s + 4. Let z be q(-4). Suppose o - z = 1. Let j(i) = -2*i + 4. What is j(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0519 to three dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0  (b) -1  (c) 542\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 455847 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -4*x**2 + 8*x + 12. Let y(q) = 7*q**2 - 16*q - 25. Let c(u) = 5*i(u) + 3*y(u). Let o be c(10). Solve -4*l + 21 = r, -o*r + 16 = -l - r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 2:03 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/6)\/(4\/30*5100\/(-16830)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 5*w + 5, -2*w + 4 - 2 = 0. Suppose 382*y - 4342 = 781 + 989. Sort 8, y, 1, r in decreasing order.\nAnswer: y, 8, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 185*a**4 - 38*a**3 + 92*a**4 - 28*a**3 - 14*a + 69*a**3 to v + z*a**2 + p*a + n*a**4 + j*a**3 and give n.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 779 a factor of 25305966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 372 is divided by 168.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113*j**2 - 1 + 128*j**2 + 1.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 112813993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1\/2937 - -138041\/5874. What is the biggest value in 0, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 6*z**3 + z**2 - 5. Let d(x) = -7*x. Let t be d(-3). Let p be 1 - -2 - t\/3. Let g(h) = -5*h**3 - h**2 + 4. Calculate p*i(y) - 5*g(y).\nAnswer: y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 4102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/53?  (a) -4\/7  (b) 1\/7  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 381803 and 259?\nAnswer: 2672621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.22 + -21.22. Let n = -11 - z. Let c = 9 - n. What is the nearest to c in 0.3, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 228269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 3*s - 86540 + 86534 = 0, 2*s = p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -29*-0.036\nAnswer: 1.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 108 and 2970.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 36*r + 579. What is l(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ugu when three letters picked without replacement from {t: 7, u: 5, g: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {g: 3, j: 5, v: 5}?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -217 - -235 - (-1 - -12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 5*m - 15, -8 = -2*x - 2*m + 4. Let z = x - 10. Let w(f) = -f + 6. Does 11 divide w(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 1. Let q(a) be the third derivative of -a**6\/360 + a**4\/12 - 6*a**3 + 14*a**2 + 1. Let m(o) be the first derivative of q(o). What is 4*f(p) - m(p)?\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12644553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffifiiiiiifiifff. What is prob of picking 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4056\/(-90) - -8)*-3. Is 112 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128488194 divided by 1586274.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(-1)*g*g)\/g*g\/(g\/(g*g\/(g\/(g**(-9)\/g))*g*g)*g))\/((g**(-1\/4)*g*g*g)\/g*g)**(4\/13))**33 assuming g is positive.\nAnswer: g**(-2508\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1191791*c**3 + 595428*c**3 + 596358*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*b**3*m**3 - 146762*b**3 + 2731*b**2*l*m**3 + 3*b**2*m**2 - b*l - 7*l*m**3 wrt m?\nAnswer: -42*b**3 + 16386*b**2*l - 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.081 minus 0.6319?\nAnswer: -0.5509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 123126 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 0 + 6 - 2*1. Let s(r) = 25*r**3 - 2*r**2 + 2. Is s(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -2*s - 14. Solve 3*f = 5*k - 2, 6*k - 5*f - s = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -13.4  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a centimeter in millimeters?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6356173 - 0.007.\nAnswer: -6356173.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5 and -0.420011546?\nAnswer: 5.420011546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3*t**3 + 13*t**2 + 82*t + 135. Is c(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -292059382 by 6349117.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 832 - 833.91. Let y be 0 - ((-4 - -7) + -2). Is y greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3089?\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3\/821 + 1621\/5747. What is the second smallest value in 0, 3\/4, a, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r = -8*r - 6. Suppose -r*w + j - 40 = 2*j, -j + 65 = -4*w. What is the common denominator of 14\/5 and (6 - -2)*w\/42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.043, -0.06, -168, 8?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 1564500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.6192156 from 1329.\nAnswer: 1328.3807844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -21*d + 5. Let h be 144\/30 - 5\/(-25). Suppose -u + 7 = -h*x, -1 - 1 = 2*x. Let g(r) = -4*r + 1. What is u*l(a) - 11*g(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123307299, 246614597, 369921893, 493229187, 616536479, 739843769, 863151057?\nAnswer: 986458343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 76629 and 3714.\nAnswer: 94866702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 249188729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 151184, 151185, 151186, 151187, 151188?\nAnswer: 151189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.7 - 1. Suppose -3*x = 0, -21*x + 24*x = -4*p. Which is the third biggest value?  (a) y  (b) 4\/3  (c) p  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*h + 8*h - 860 + 68 = 44 for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 154 = -3*o, 44710*o - 42 = -4*v + 44709*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1183\/5 - 237. Sort c, -5, 0.2 in decreasing order.\nAnswer: 0.2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1f0 (base 16) in base 5?\nAnswer: -3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -30, -33, -36, -39?\n\"Answer: -3*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 1:10 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + 270\/(-35))*-7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 5*g - 5 = 0, 0 = 3*j + 3*g - 0 + 3. Suppose j = 5*o - 103 - 7. Suppose -73 = -5*b + 122. Calculate the remainder when b is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 112 = y - 4*g, 3*g = 4*y + 234. Let i = -29 - y. Calculate the remainder when i is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 0*l**3 - 4*l - 2*l**2 + 2*l**3 + 5*l. Let x be (-1*6\/8)\/(2\/8). Let k(r) = -r**3 + r**2 - 2*r. Calculate x*k(v) - 2*f(v).\nAnswer: -v**3 + v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*j - 84 = 0, 0*y = -3*y + 4*j + 237. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -8*o**2 + 2*o - 1. Suppose -5*d + 12 = 7. Give m(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 606800?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 436*o - 87 + 44 + 38 + (3 - 4 + 3)*(o + 4*o - 4*o).\nAnswer: 438*o - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/348 and -71\/19662.\nAnswer: 39324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - 82*b**2 - 159*b - 1. Let t be m(-2). Put t, -1, 4, -5, -10 in increasing order.\nAnswer: -10, -5, t, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 948545457?\nAnswer: 3, 316181819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 266 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/9)\/((-3)\/27). Suppose f + 2*d + 6 = 0, 6*d + 12 = -f + s*d. Is 3\/26 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -54 + 57. Let t(x) = 40*x - 2. Let n be t(0). Put r, 0.1, n in descending order.\nAnswer: r, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qcsqcsqff. What is prob of sequence cq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7100.927 kilograms to grams.\nAnswer: 7100927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40 - ((-6 - -13) + 22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 23132202020 (base 4) to base 16\nAnswer: 2de888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 10*n - 275. Give q(15).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*b**2*q**3*v**2 + 39*b**2*q**2*v**3 - 2*b**2*q**2 - 127*b*q**3*v**3 + 5*q**2*v**3 wrt q.\nAnswer: -24*b**2*v**2 - 762*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -28*f + 50 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30\/11 or 4?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -94\/21 + 36\/7. Let r = 2 - 0. Which is the nearest to q?  (a) 3\/7  (b) r  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4*1\/1 + 193. Calculate the common denominator of (u\/(-15))\/(8\/(-10)) and -71\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 24906.9, -2\/3, 5?\nAnswer: 24906.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 1)*2\/(-4). Suppose r*o = o - 191. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2*d - 14, 3*d - 6 = -3*f - 30. Let z be 1\/f - (-69)\/90. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 11:01 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -324 - -324.00753. Round w to 4 decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-5)\/7 + 6\/21. Let l be 1\/3*0\/5. Which is greater: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.106 or -5\/2884?\nAnswer: -5\/2884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express m + 448*m**2 + 0*m**4 - 6*m**4 - 4 - 451*m**2 - 3*m**3 in the form u*m**3 + c*m + l + o*m**2 + x*m**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 7 - 2 = 0. Suppose 3*o - q = 63. Suppose -2*y - x + o = -6*x, 4*x = 4*y - 68. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 11, v: 2}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5406 divided by -1802.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6798935 a multiple of 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**3 - 1640*l**2 - 43343*l + 44982 = 0 for l.\nAnswer: -27, 1, 1666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of -m**5\/20 - 3*m**4\/4 - 5*m**3\/3 - 17*m**2 - 30*m. What are the prime factors of z(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/2*5964\/(-2485)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 b, and 1 g when three letters picked without replacement from {g: 2, b: 3, m: 3, r: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-5))\/(188\/(-1410)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14400 = 1471*q - 1291*q for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 30, -5, 2, 0 in ascending order.\nAnswer: -5, 0, 2, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1.09  (b) -5  (c) 6421  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -33 in 1\/11, -0.1, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -3*v - 10. Let f = -31 - -37. Let d(j) = -3*j - 11. Let h(g) = f*d(g) - 7*y(g). Calculate h(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61247, -61378, -61625, -61994, -62491, -63122, -63893?\nAnswer: -64810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/((-22)\/9)*(75\/72)\/(-25).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2646\/17537 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 2*m = -2*r - 10, 0 = 4*r + 3*m - 84. Let k = -83 - -248\/3. What is the third biggest value in k, r, -2\/11, -1\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1109093 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 58 in 14, -2\/5, -0.07?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 289753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (0 - (-2 + -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 27491?\nAnswer: 1\/27491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 62014 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5353?\nAnswer: 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 52, 88, 124?\n\"Answer: 36*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 224 divide 169311520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b - 5*b = 60. Let h = b - 6. Suppose 4*d = -w - w + 26, h*d = 4*w + 8. What is the least common multiple of 6 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -j**3 - 577*j**2 + 27416*j + 57132 = 0?\nAnswer: -621, -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.6 - -3.4. Which is the second smallest value?  (a) j  (b) -16  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**2\/7 - 10*h\/7 - 748\/7 = 0 for h.\nAnswer: -17, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 2*g + 6 = -3*i, 5*g = -6*i - 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2683799 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.299 - -0.299. Which is the nearest to 0?  (a) -3\/4  (b) 0  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l. Let y(z) = -z + 2163. Determine y(c(b)).\nAnswer: -2*b + 2163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 10131*y - 5*y**4 - 10124*y + 6*y**4 to the form f + p*y**4 + r*y**2 + u*y**3 + m*y and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 12 = -3*t, -3*t = 4*o - 8*t + 20. Find the common denominator of 5 - (260\/(-36) - -5) and 76\/(-20) - (2\/12 - o).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9209310 and 5310?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13005 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(32)\/sqrt(2))\/sqrt(4)*-4)\/(sqrt(2) + (sqrt(12)\/sqrt(54) - sqrt(2) - sqrt(2)) + sqrt(2) - (3*-1*sqrt(2) + sqrt(2))).\nAnswer: -12*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59 + 59 + 25)*(-83*w**2 + 40*w**2 + 46*w**2 - 3*w).\nAnswer: 75*w**2 - 75*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -2*f - 48. Suppose -2*t + 0 = f. What is the units digit of 32 + 3*t\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**4 + 0*d**2 + 0*d**2)*(13 - 11 + 10*d - 5*d).\nAnswer: -5*d**5 - 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 0*x**3 - 5*x**2 + 5*x - x**3 + 3 - 1. Let y be d(-7). Solve y = -4*u + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -423*k + 260. Suppose -2*d + 154 = -24*d. Is z(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/3?  (a) -79  (b) -29.9  (c) 2\/5  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 83493 or 84243?\nAnswer: 83493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 379699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*f = -5*o - 30*f + 2, 0 = -3*o + 2*f - 2. Which is smaller: -0.32 or o?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -47847*i + 3110060. Calculate f(65).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4066208 and 184?\nAnswer: 93522784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 320976.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 8*g - 40. Is 97\/(144\/g - 7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1186, -1187, -1188, -1189, -1190?\n\"Answer: -j - 1185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(242) + 1 + sqrt(242) - (sqrt(2) - sqrt(242)*1)) + -5 + (sqrt(10)\/(sqrt(25)\/sqrt(5)) - -4*(0 + sqrt(2))) + -3)**2*-1.\nAnswer: -2787 + 518*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzezzezzezzz.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3988*f - 1643*f = 1189*f + 1285*f - 105365 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (215\/213 - 1)*-6. Let i = w + 229\/284. What is the common denominator of i and 13\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 548790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + z - 7*z = -72. What is the greatest common divisor of z and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 82788800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/1166 and -3 + 0 + 20\/6 - (-8456)\/(-17808).\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(3\/4)\/n**20)\/(n**(-4\/5)\/(n*n*n**(1\/14))))**28 assuming n is positive.\nAnswer: n**(-2293\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/4824 and 51\/32.\nAnswer: 19296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 936 and 1989.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h**3 + 23*h**2 - 2*h + 23. Let k be x(-12). Which is smaller: -95 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, -46, -193, -482, -961, -1678, -2681, -4018?\nAnswer: -5737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 - 2*j**2. Let g(q) = q**3 + 6*q**4 + 28*q**3 - 4*q**3 - 69*q**2 + 31*q**2. Let z(a) = 14*f(a) - 2*g(a). Find r, given that z(r) = 0.\nAnswer: -6, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*c = -44*c - 7680. Let f = -1762 + c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 94, 364, 670, 1018, 1414, 1864, 2374, 2950?\n\"Answer: l**3 + 12*l**2 + 227*l - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 44, 94, 144, 194, 244, 294?\n\"Answer: 50*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c**(2\/9)*c)\/c*c)\/c)\/c**3)\/((c*c\/(c**(-1\/3)*c))\/c*c**(-2\/19)*c)*(c*c\/(c*(c\/((c*c**(2\/7))\/c))\/c)*c*c*c**4)**(-2\/23) assuming c is positive.\nAnswer: c**(-127727\/27531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 - 22*h**2 + 21*h + 14. Let k be d(21). Is 22 a factor of -398*(-21)\/k + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**4\/3 - 54485468*n**3\/9 + 123694407803966*n**2\/9 + 82462980913568*n\/9 - 41231481375872\/9 = 0 for n.\nAnswer: -1, 1\/3, 4540456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 175 - -52. Suppose z = 3*f - 4. Suppose -80 = -3*t - t. What is the remainder when f is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -77*c**2 + 6934*c + 6512623.\nAnswer: -154*c + 6934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 161\/69 + (-4)\/(-6). Which is smaller: 218\/53 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 - 11*a + 7. Calculate the remainder when q(-11) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of -k**4\/4 - 13*k**3 - 507*k**2\/2 - 16*k - 1. Factor w(y).\nAnswer: -3*(y + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 107 = -3*b, -3*y - 29 = -b - y. Solve -12 + b = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by -3 - 11\/1*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*t - 4*t - t)*(-3*t - 2*t + 8*t)*(0 + 2 + 0) in the form z*t**2 + v*t + l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8844708530 + -0.4.\nAnswer: 8844708529.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/l**(1\/6)*l*l*(l\/(l\/l**(-10)))\/l*l assuming l is positive.\nAnswer: l**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.002 and -3\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3009183693?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 69397\/5, 15, 0.5, -5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 - -10. Let l = -1.01 - -0.01. Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 3:26 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-6))\/(18\/4). Suppose -5*v - 27 = -q, -3*q - v + 64 = 47. Let i be (-6)\/21 + (25\/q)\/(-5). Is x greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9012 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -847510 rounded to the nearest ten thousand?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 555\/10 - (-5 - -2)\/6. Suppose r = -3*m + m. Let u = m - -31. Solve -a + u*n = -2, -2*n = -4*n - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 197 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 255994717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3*x + 2)*(-2 - 1 + 4)*(-3 - 7 + 9).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -4 + 0 + (7 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 12:34 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2277547093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 3*w**2. Let p be 10*-2*1\/(-5). Let g(s) be the third derivative of s**4\/3 - 32*s**2 - 1. Let k(n) = -n. Let c(f) = p*k(f) + g(f). Calculate c(t(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -191, -166, -141?\n\"Answer: 25*z - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 1\/5*g**2 + 0*g = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -s**7\/840 - s**6\/240 + s**5\/240 + s**4\/48 + 7*s**2 - 2*s. Let x(l) be the first derivative of b(l). Factor x(h).\nAnswer: -h*(h - 1)*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9921 by -6.\nAnswer: 3307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002537261 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 397020910 divided by 39702091\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -266936\/75 or -3558?\nAnswer: -266936\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*v - 3*j, -4*j = -2*v - 0*v - 4. Let u be (-10)\/v*(-158)\/(-10). Let r = 164 - u. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 33  (b) 0.04  (c) -0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 11050 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5236692 divided by -1086\nAnswer: 4822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 + -38 - (2 - 5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 4*x**5 + 92*x**4 - 1436*x**3 - 14812*x**2 - 33128*x - 19840 = 0?\nAnswer: -31, -5, -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + o**2 - o + 1. Let r(k) = -5*k**3 - k**2 + 8. Let w(n) = 6*d(n) - r(n). Let m be w(6). Which is the smallest value?  (a) m  (b) -4\/9  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7366944209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - 11. What is the closest to l in -3, -7, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -1, 2\/17, -0.02, -1.7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -293*x + 361*x - 1292. Suppose -460 = -11*i + 6*i. What is the remainder when i is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 7\/4, 7\/2, 71\/9, 0.4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15150 and 32?\nAnswer: 242400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*x**3 + 214076*x**2 - 2453576*x + 6672960 = 0. Calculate x.\nAnswer: -5958, 40\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 - 6*n + 13. Is f(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -117\/154 and 30\/4*7\/(-175).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/(-3))\/(24\/1980). Suppose 4*j - s = g, -3*j - g - g + 176 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1129.18 less than 78098765?\nAnswer: 78097635.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7629598?\nAnswer: 2, 3814799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 309725.66 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 6:31 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 142832 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -6227?\nAnswer: 4\/6227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*g = 4*g - 53*g + 639280. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*(132\/(-8) + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5356 (base 8) to base 12\nAnswer: -1752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 13. Suppose 0 = 5*f - 5, -f = -2*z + 3*z - 24. Let j = z + n. Is j at least 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 - (-1 - 0)*1. Let n = 57.2 - 51. Let h = -6 + n. Sort h, c, 2 in increasing order.\nAnswer: h, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57, 41, 25, 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 45986 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of -w**2\/2 + 1. Let y(o) = 3*o**2 - 4*o**2 + 0*o**2. What is b(y(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4632258 and 2.\nAnswer: -0.9264516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 350737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g - 17*g - 32 = 0. Which is the nearest to 0.2?  (a) 2.9  (b) g  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 3) + (6 + -5 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 3 = u. Let v = u + 20. Let f be (-2)\/8 + 4\/v. Solve f = 4*t + 4*i + 28, 5*t - 4*i + 12 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r**2 + 0*r + 6*r + 4*r**2 - 2*r**2 - 2. Let m be b(-6). Let v = -37 - m. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 6*z**2 - 2*z + 8. Let d be u(6). Let k be -2 - -3 - (d + -1). Suppose -x = -4*g + 10, k*x + 7 = 2*x + 5*g. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1347369 and 30?\nAnswer: 13473690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y = -255 + 165. What is the highest common factor of 243 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + 6*c**2 + 4*c - 2. Suppose 4*y - 563 = 37. Suppose 0*n = -5*n + p + 138, -y = -5*n + 5*p. Calculate the remainder when n is divided by g(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.67588968 to 3 dps.\nAnswer: 4.676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5689863843 to the power of 1\/3, to the nearest integer?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)\/((sqrt(336) + sqrt(21))\/sqrt(7)))\/((sqrt(432) + 2*sqrt(432)*5 - sqrt(432)) + sqrt(432) + sqrt(432)).\nAnswer: sqrt(3)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1278 and 4035498?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 33 - 12 = 0. Calculate the smallest common multiple of t and (-3264)\/(-336) + 6\/21.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*s = 13*s + 18. Let t(r) = -5*r**2 + 3*r. What is t(s)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -3038*i + 14104. What are the prime factors of q(-8)?\nAnswer: 2, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 10}. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 35729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 100010101010110 (base 2) to base 15\nAnswer: 53d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 74 - 44 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -155*t - 1100. Give u(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -22*z - 142. Let y be o(-7). Let f(r) = 0*r**3 + 0 + 2*r - 2*r**2 - r**3 + 1. Let k be f(-3). Calculate the highest common factor of k and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f**2 - 22*f - 112. Let x be l(-28). Suppose 2*b + 10252 + 1168 = 4*y, x = y - b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lxdxxlnxlxncxxxxlnlx. Give prob of sequence cl.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 6 = 2*u + 2*x, 4*u - 16 = -x. Suppose 3*g - 3 = -0*g - 2*k, -6 = -u*g - 3*k. Let c be (-2 - 1 - -4)\/(-10*5\/(-200)). Solve -o - c = -g*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/5, 1\/25, -80\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 13*x**2 + 29*x - 2. Let y(m) = 16*m**2 + 32*m - 2. Calculate -10*y(f) + 12*z(f).\nAnswer: -4*f**2 + 28*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + s - 25, -3*s - s = z - 24. What is the closest to 5 in z, 0.4, -4, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 96290 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16.826 + 0.474. Let q = c - 30.3. What is the closest to q in 6, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2117, -3963, -5797, -7613, -9405, -11167, -12893?\n\"Answer: u**3 - 1853*u - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.0498 - -0.0498. Put -142, -2\/15, u, 2 in decreasing order.\nAnswer: 2, -2\/15, u, -142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22 by -17222.\nAnswer: 11\/8611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) -1\/94  (b) -5  (c) -61549  (d) 1\/3  (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/2*-15*(98\/(-40))\/(10864\/(-3104))?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 162916 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of (2 - (3 - 0)) + 42 + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -1, 867 in descending order.\nAnswer: 867, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 540\/(-252)*(1\/5 + -2). Which is smaller: 4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6422 - 3376. Suppose -7*t + u = 2*i - 2*t, -5*i + 7577 = 3*t. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 1088*y**3\/5 - 1049*y**2\/5 - 39*y\/5 = 0.\nAnswer: -39\/1088, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 5*q - 28*q - 8*q - 20*q. Let c(t) be the first derivative of 1\/2*t**2 + 3 + 0*t. Determine c(k(i)).\nAnswer: -51*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 7 = 5. Let u = 159124 - 159188. What is the smallest value in u, -2, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 + 12. Let n be (-3)\/1 + (-1 - v). Suppose -50 = -p - 4*p + 4*j, 0 = -2*p - j + 20. Solve -p = n*x - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1461*p + 544 = 1493*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + 7)\/(3\/4). Let b(q) = q**2 - 5*q + 6. Let r be b(8). Let h be (-28)\/21*r\/(-4). Solve h = t*c - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 6*q**2 + 11*q - 112. Let v(y) = -2*y**2 - 4*y + 37. Calculate -4*i(n) - 11*v(n).\nAnswer: -2*n**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -279*o - 3. Let j be b(-12). Let h = j + -13291\/4. What is the common denominator of -8\/7 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + -2. Let i = -6 - d. Calculate the remainder when (1 + 3*-1)*-10 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-7)*28\/6. Suppose 20 + 30 = 2*a. Let w be (-10)\/4*(-10)\/a. Solve -5*x + r*x = w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -2*i - 5*v, -v - 3 - 3 = -3*i. Suppose 5*g = i*b + 25, b = 5*g - 0*b - 15. Factor 4*f + 0 + 4 + 2*f**g - 2.\nAnswer: 2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -9313\/12, -1\/45, 5, 4, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*k + 6449 - 61142. Suppose -k = -8*w + 3995. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3986696 divided by 56.\nAnswer: -71191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 + 11. Suppose x = -5*p - 3. Let m be ((4 - 4)\/(-2))\/1. Is m greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 divided by -97?\nAnswer: 14\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 25200552 and 52?\nAnswer: 25200552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = y + 5*d - 0*d, 5*y - 5*d + 15 = 0. Let h = 7 - 2. Suppose -323 = -h*s + 4*n, s - y*n = 2*s - 73. What is the remainder when s is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6806 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 35190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 140?  (a) 0.1  (b) 1\/2  (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -13*v - 3 - 4*v**2 + 7 + 3*v**2. Let m(b) = -12*b + 4. Let l be (45\/36)\/(6\/8 - 1). Let w(z) = l*m(z) + 4*r(z). Let w(o) = 0. Calculate o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2004164 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 + 5*b + 2. Let m be i(-6). Let y = -5 + m. Suppose -y*h + 5*h = 10. What is the highest common divisor of 20 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**4\/5 + 21*n**3\/5 + 54*n**2\/5 + 12*n + 24\/5.\nAnswer: 3*(n + 1)*(n + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126 = 81*c - 79*c. Suppose -88 = -j - c. What is the second derivative of 15*w**4 + 5*w**4 - 7*w + j*w + w**4 wrt w?\nAnswer: 252*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3*n**2 - 66*n - 40. Let g be l(-21). Let p(u) = 3*u + 0*u - 51 + g + 24. Let d(r) = -2*r**2. Calculate p(d(w)).\nAnswer: -6*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -17*g**2 - 142*g - 309. Calculate s(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 19 and 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 - (-2 + (-10)\/(-5)). Suppose 0 = 5*k - 20, -g + 2 = -s*k + 15. Solve -g*b - 10 = 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 14\/3*(-24)\/(-16). Suppose -2*t + 10 - 72 = -2*o, 97 = 3*o - t. Let a be 0 + 1*o - 1. Solve -5*m + l = a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -15*m**4 + 95*m**3 + 151*m**2 - 4992*m - 21497. Let l(b) = -4*b**4 + 32*b**3 + 50*b**2 - 1664*b - 7166. Let p(k) = 14*l(k) - 4*u(k). Factor p(j).\nAnswer: 4*(j - 7)*(j + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**4\/3 - 2122*p**3 - 12708*p**2 + 228920*p\/3 - 84800 = 0. What is p?\nAnswer: -6360, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w + l + 1 = -15*w, -11*w = -2*l + 74 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -8*c + 6 - c**3 + 6*c**2 + 9*c**2 - 8*c**2. Let d be n(6). Let h(v) = -2 + 593*v**2 - 21*v - 594*v**2 + 14*v. Give h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.596 and 185946.\nAnswer: 185944.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 7:41 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2842780 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 + 20. Solve c - 18 = x*j + 2*c, 5*j = 5*c - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((sqrt(136) - sqrt(136)*-2 - sqrt(136)) + sqrt(136))*4 - sqrt(136)) + sqrt(136))\/(sqrt(88)\/(3*sqrt(11) + sqrt(11))))**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 432910 times -3\nAnswer: -1298730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {m: 1, y: 18}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 388, 0, 5, -4, 1, -2.\nAnswer: -4, -2, 0, 1, 5, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/84 and -149\/5958.\nAnswer: 83412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -23  (b) -2  (c) -3\/76  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 7*l + 6. Let t be n(6). Suppose -2*b + 1 + 3 = t. Calculate the remainder when 5 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -60584 + 60588. Factor 1\/6*t**o + 1\/2*t**3 + 1\/2*t**2 + 0 + 1\/6*t.\nAnswer: t*(t + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -61 in descending order.\nAnswer: 3, 2, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b3dc (base 14) to base 3\nAnswer: 1120110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 845581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -2*(sqrt(125) - (-3 + 2*sqrt(125)) - ((-1 + sqrt(125))*1 - sqrt(125)))**2.\nAnswer: -277 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1476, 2950, 4426, 5904?\nAnswer: 7384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -5729 less than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 309 and 1648.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3654 times -26\nAnswer: -95004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 3*b + 14 = 0, -4*b = 6 + 2. Put 3, 4, q, 2 in ascending order.\nAnswer: q, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*b + 48. Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-14))\/(((-7000)\/(-1100))\/35)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1  (b) 5  (c) -3\/4  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 5) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -16*v**3 - 2*v**2 + 7*v + 11. Let m be h(-2). Suppose -m*f + 120 = -105*f. Solve 4*y + y = f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 1 = 3*j, 5*t - 5 = -8*j + 13*j. Let m(a) = 9*a - 4. Let g(d) = 9*d - 3. Let w(s) = 6*g(s) - 5*m(s). Calculate w(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43 - -99. What is the greatest common factor of s and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l**2 - 2*l + 6. Let y be h(-5). Let x = 131\/2 - y. Which is bigger: x or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d + 5. Let k be j(5). Let l be 6 + 1 + -2 + (-12)\/6. Let f be 8\/l - 18\/(-54). Solve 3*c - 6 + f = k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 614 and 876178?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/5 of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -466.8 + 466.799987053. What is m rounded to seven decimal places?\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 3*j - 3. Let s be z(1). Let b(k) = -18*k**2 + 12*k. Let n(x) = -x**2. Let g(a) = s*b(a) + 4*n(a). Find the second derivative of g(t) wrt t.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 30, -1, -6 in decreasing order.\nAnswer: 30, -1, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, f: 1, y: 2, h: 3, m: 2, l: 5}. What is prob of picking 1 b and 1 y?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6746696 and 4.\nAnswer: -26986784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-3735)\/43 - 88848\/636744\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 144\/(-12)*(69\/(-12))\/((-9)\/((-45)\/5))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-1468.\nAnswer: -146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13071269 and 3397.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 1418 = -3*i - 1385, -m + 49 = 3*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4402 a factor of 198855948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -110\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-7)\/(105\/(-10)))\/((-12)\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54329062091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 52*b*f*l**3 + 8349*b*f*l**2 - 32*b*l**3 - b*l**2 + 2*b + f*l**3 + f*l**2 - 68*f - 2179*l**3 + l**2 wrt l?\nAnswer: 312*b*f - 192*b + 6*f - 13074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10156, -9846, -9536?\nAnswer: -9226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5812397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 181 - 183. Is 84 - (10\/v + 5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6, 6\/5, 1\/3, -1\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -2*t + 11*t - 3363*t**2 - 16*t**3 - 15 + 3363*t**2. Let g be l(2). Is g != -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 divided by 4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -67*k - 1603. Let b be j(-24). Solve -18*s + 16 = -16*s + 4*i, -b*s + 14 = -3*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62809*q**3 + 125629*q**3 - 62822*q**3 + 3*q - 3*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 - 5*p**2 + 89*p - 179. Let x be q(5). Let u(n) = 2*n - 2. Let z be u(8). What is the highest common divisor of x and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 2:27 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -663*v**3 - 3897746 + 3897746.\nAnswer: -663*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -12368*0.2\nAnswer: -2473.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 14 - 9)*(2*j**2 + 3 - 3)*(4*j + j - j) + (-5 + 5 + j**3)*(-4 + 2 + 1) + 9*j - 9*j - 6*j**3.\nAnswer: -87*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of y**8\/120 + 3*y**7\/140 + y**6\/90 - 17*y**3\/6 - 14*y. Let n(b) be the second derivative of j(b). Suppose n(r) = 0. What is r?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 + 21*s**2 + 21*s + 149. Is c(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.02, 9\/2, 1\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9037892761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2341 (base 13) to base 9.\nAnswer: -6714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10978463+-0.3\nAnswer: -10978463.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 721 + 932a?\nAnswer: 9a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -11443?\nAnswer: 11441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 460 and 3956?\nAnswer: 19780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -57433000 rounded to the nearest 1000000?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 1)*(0*k + k - 3*k) + (3 + 3 - 2)*(10*k + 12*k - 2*k) + 0 + 5*k + 0 + 2*k - 5*k + k + (1 - 1 - 1)*(k + k - k) + 3*k + 2*k - 3*k.\nAnswer: 82*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 310477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*h**5 - 65*h**4 - 365*h**3 + 585*h**2 + 110*h - 280 = 0.\nAnswer: -4, -2\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/25  (b) -7  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*i + 656*h - 1322*h - 218 = -664*h, 0 = -i - 4*h + 3 + 3 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 - -50. Solve v + 10 = 3*s, 3*s + z = 3*v + 5*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-32))**(-4\/9)\/(p**(-10))**(-40))**(-29) assuming p is positive.\nAnswer: p**(100688\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 - m**2 + 1. Let o be h(2). Suppose -28 = -o*d - 2*n, -4*n = -d + 6 + 4. What is the remainder when ((-15)\/d)\/((-6)\/12) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = o + 2, -b = -6*b - 3*o - 6. Suppose 4*p + p = b. Solve p = -3*z - 2*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3015 times 14.4?\nAnswer: 4.3416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 7 = 3*z, z = 4*f - 2 - 1. Suppose -4*w + 2*w - 19 = -5*r, 2*r - 25 = -5*w. Find the third derivative of 4*l**5 - f*l**2 + w*l**2 - 5*l**5 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yan. What is prob of sequence ny?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + 200?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -8610 to the nearest one hundred.\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -1294332?\nAnswer: -1294330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 4 + 2 = 0. Suppose u = -y - b, -4*b = y - 4*y + 4. Solve 3*o = -3*r - 15, -r + y*r = 5*o + 21 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.08 - 0.08. Which is the nearest to x?  (a) -0.4  (b) -2\/15  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 11, e: 9}. What is prob of picking 2 e and 2 f?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**(-6\/13))*f**(1\/8)\/f)**(-10) assuming f is positive.\nAnswer: f**(695\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 0. Suppose 21*o = -c + 17*o - 20, -2*c = -o - 5. Solve c = 3*l + 9, -z*p + 5*l + 6 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 - 12*z**3 - 13 + (-2*z - z + 8*z)*(-3*z**2 + 2*z**2 + 2*z**2) to the form f*z**3 + i*z**2 + r*z + x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*s + 14*s + 15841 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3909888485 to the nearest integer?\nAnswer: 62529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2940 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 + 10 = -2*l. Let u = l + -15. Calculate the least common multiple of 2*u*(-99)\/44 and 47.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = j. Let k(r) = r**2 - 4*r + 3. Let s be k(3). Suppose s = -3*b - j*b + 99. Calculate the highest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 851985 divided by -283995?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 PM and 2:49 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17099727870 - 7622274383 = -69*b - 35619566513. What is b rounded to the nearest 1000000?\nAnswer: -654000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 3, -46, -0.056555 in descending order.\nAnswer: 17, 3, -0.056555, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179 - 167 = 12*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (94\/(-282) - (-451)\/1380)\/((-249)\/332)\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 201 + -198. What is o in -50*o - 28*o - 2*o**4 - 3*o**3 + 94*o + 5*o**s + 20*o**2 = 0?\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*r + 24*r = 3. Let w(b) = 29*b - 37. Let d(z) = -z**3 - z**2 + z + 13. What is the remainder when w(r) is divided by d(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of 11*m + 0*m**6 - 1\/21*m**3 - 1\/735*m**7 + 0*m**4 + 3*m**2 + 1\/105*m**5 + 0. Let d(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, -1, -17 in increasing order.\nAnswer: -17, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5508)\/1496 - 4\/(-22))*(-80)\/7. Which is the third smallest value?  (a) -5  (b) -2\/5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26 + 43. Solve 0 = -0*l - 5*l - 2*u - q, -3*l - 5*u + 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*y - 206*y = -5*y + 83*y - 8398 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -152\/9 - -50\/3. Let s be ((-2106)\/252 + 12)*21\/(-54). Which is the third smallest value?  (a) -2  (b) g  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -5*p**2 + 6*p + 6. Let q(a) = -11*a**2 + 13*a + 13. Let w(k) = 13*m(k) - 6*q(k). Let u(h) = -128*h**2 + 413*h**2 - 216*h**2. Give u(w(n)).\nAnswer: 69*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2 + 0 = 0, -5*t + 18 = -4*z. Let r be 7\/t + (-1)\/2. Solve 2 - 17 = r*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 281.41516 rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 60b2bcc - -3?\nAnswer: 60b2c02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of o**6\/360 + 2*o**3\/3 + 82*o**2. Let z(s) be the first derivative of y(s). Let c(r) = -13*r. Calculate c(z(g)).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 5*g + 3*g = 20, -4*x - 23 = -g. Let i = 9 + x. Let l = -466 - -477. Calculate the lowest common multiple of l and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 231 - 80. Is 21 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - g - 1159 = 1010, -2*i - 5*g = -4373. Suppose -i = -15*v + 121. Is -1\/2 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 AM and 9:29 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 991, 3781, 8429, 14935, 23299, 33521, 45601?\nAnswer: 59539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + (-1)\/(-2)*8. Let n(h) = 9*h**2 + h + 4. Let y be n(b). Let c be (-33)\/(-4) + (-2)\/8. What is the highest common factor of c and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 663597 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 - 21. Suppose k*h + 17 - 7 = 0. Which is the nearest to h?  (a) 1\/2  (b) 0.2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*h = -1666 - 2482. Calculate the remainder when h is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*p = 48*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 698278219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/23, 1\/3, 4, -3\/13, -2.7, 86 in descending order.\nAnswer: 86, 4, 1\/3, 2\/23, -3\/13, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 540\/(-60) - (-2032 - 1). What is the highest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 422467, 844922, 1267377, 1689832, 2112287?\nAnswer: 2534742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -4*s**3 + s + 1. Let p(g) = -2*g. Let n be p(-1). Let v(t) = -n + 5 + 2*t - 1 - 13*t**3 + 4*t**3. Determine 5*u(b) - 2*v(b).\nAnswer: -2*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 17 = 14*d. Let j be ((-65)\/(-52))\/(d\/(-4)). Solve b - 5 = -4*l + 6*b, j*l + 5*b + 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1654028.4909 rounded to the nearest 1000?\nAnswer: -1654000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and -0.012825.\nAnswer: -2.012825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**15*q)\/q**(-2\/35) assuming q is positive.\nAnswer: q**(597\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 304 + -1516\/5. What is the nearest to 0.1 in 10, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s**2 - 186746*s + 13264007 = 0 for s.\nAnswer: -186817, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1197, 1451, 1709, 1971, 2237?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 5*g + 36 = 0, 5*g - 12 = -y - 3. Let u = y - 14. What is the tens digit of 4*4*u\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 4  (b) -5\/9  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ncncnnnnnncnnnr. Give prob of picking 1 c and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ilii when four letters picked without replacement from {i: 3, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 769565933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4505\/81914 or -1?\nAnswer: 4505\/81914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - 9*j - 5. Let n be ((-2)\/(-3))\/(3\/(-18)). Let k be n*(34\/8 - 3). Let u be x(k). Calculate the highest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7690837?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 137469 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 13237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/(-6))\/(22\/33). Let b be (-3 + (10 - 5))\/(y\/46). Solve -3*l + 2*l = -n - 6, -2*n - 5*l = -b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 122044?\nAnswer: 5\/122044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1945920 divided by 243240?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -14. Let t(u) = -2*u - 8. Let m be t(a). Suppose -g + 0*g = o - 91, 0 = m*g - 2*o - 352. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 101*q + 786 - 281. Let m = -4 - -6. Sort -17, m, q.\nAnswer: -17, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 4*f = 5*u, -3*u - 3*f - 27 = 0. Suppose 23*a - 15 = 26*a. Sort -3, u, a in descending order.\nAnswer: -3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + -2. Let c be 33\/(-12) + (-7)\/(-4). Sort -91, c, u in decreasing order.\nAnswer: c, u, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211.5388 tonnes to nanograms.\nAnswer: 211538800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 441*g - 37022. Give b(84).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 11045 = -2*q, 3*k - 7*k + 14738 = -3*q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 17a - -3513?\nAnswer: 3691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 269792626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0681745 to three decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v - 5. Suppose m + 15 = 4*m. Is k(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -707, -708, -709, -710?\nAnswer: -711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + 2*k + 0*k)*(2*k + k - 5*k)*((0 + 3 - 1)*(-k - 3 + 3) - 9*k + 11*k + k + 3).\nAnswer: 2*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 minus -69583.25?\nAnswer: 69598.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - (-3 + 46\/11). What is the closest to r in -5, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i**2 - 4. Let d(m) = -m + 2. Let t be d(4). Let n be w(t). Suppose -2*k - 3*k + 8689 = 4*q, 4*k = n*q + 6980. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + m = 6548 + 3044, 4*k = m + 9600. Calculate the remainder when k is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -8*u**3 + 3*u**2 + u - 4. Let f(a) = 7*a**3 - 2*a**2 - 2*a + 3. Let n(j) = -7*f(j) - 6*t(j). Determine n(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -3*m**2 - 60*m + 13. Determine g(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 359418852?\nAnswer: 2, 3, 13, 647, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1445 divided by 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 452\/(-565) - (10\/(-1 - -3) - (-218)\/(-10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 5:17 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -2*(-5 + (-3033)\/6).\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 242412 + 1?\nAnswer: 242413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5817 is divided by 1484.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -4*d + 9. Suppose -4*i + 4*l - 16 = 0, -42*i + 47*i + 8 = 2*l. What is c(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/9*(-3)\/(-5)*630\/(-168).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -73 + 70 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3*b + 6 = -q, -5*q - 18 = b. Suppose -15 = -5*m + 5*u, -b*m + 2*u + 1 = -m. Solve -y + 2*p - m = 0, -6*y - 2*p = -2*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 111.0000204 - 111. What is k rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -29, -37, -45?\n\"Answer: -8*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 97 + 3b5b?\nAnswer: 3c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3444*j - 1060 = 2077*j + 76234 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2594.67 - -2657. Let h = 59.9 - k. Round h to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -11*v - 44. Let l = -12 + -2. List the prime factors of g(l).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*z**4\/4 - 48489*z**3\/4 - 1142481*z**2\/2 - 2625831*z - 3063690 = 0. Calculate z.\nAnswer: -42, -3, -2, 16210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (5 - 13)) + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(50) + 3 - (sqrt(12)\/sqrt(6) - sqrt(2))**2*-3.\nAnswer: 3 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1502 and 167870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**3 + 2285*i**2 + 4574*i = 0.\nAnswer: -2, 0, 2287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 6\/27 + ((-213)\/540*-4 - 1)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -140*d**4 + 40*d**2?\nAnswer: -3360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 5*d - 3, v + 2*d + 1 = -d. Let q be (-5)\/(10\/(-68)) - v. What is the highest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 3*j. Let n(g) = -g. Let b(w) = -n(w) - q(w). Let d(i) = -i + 5*i - 3*i. Give b(d(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of y**4 + 74*y**3\/3 - 51*y**2 + 8. Calculate s(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16664268 is divided by 16664251?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190)*-1*6)\/(sqrt(40)*2))**2 + -5.\nAnswer: 151\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*q + 16 = 0, 0 = 2*i + i - 3*q. Let g be (-2)\/(i\/6*1). Let u = 5 + g. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2625\/14*1472\/3. What is s rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -936, -3260, -7050, -12306, -19028?\n\"Answer: -733*w**2 - 125*w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 157 or 160?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, 11, -7, 26.\nAnswer: -7, -2, 3, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 - 12. Suppose 5*r + 5*i = -15, -r = -6*r + i + w. Let a(t) = -2*t + 2. Let k be a(3). Sort 3, r, k in descending order.\nAnswer: 3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -40*p**2. Let o(j) = -2*j. Let v(y) = 6*y. Let q(b) = 14*o(b) + 5*v(b). What is q(m(s))?\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 1 - 19 = 0. Let q = x - 2. Suppose 0 = -3*c + 3*g + 90, 4*c + g - q*g - 126 = 0. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 1. Let s(i) = 11*i + 4. Let q(u) = s(u) - 4*v(u). Let g be q(8). Let f be 2\/(-16) + 11\/g. Solve -4 = -c - f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2. Let u(d) = -4*d**2 - 2*d. Calculate f(u(a)).\nAnswer: 16*a**4 + 16*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8871625?\nAnswer: 5, 7, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54336013 (base 7) to base 14.\nAnswer: 88dc43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppppmm?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/(15\/6))\/((-4)\/20). Let o(p) = -9*p - 6. Let r(f) = -f - 1. Let w(s) = -o(s) + 12*r(s). Let m be w(v). Solve 2*d + m = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 - 14*l**2 + 8*l + 28. Give r(11).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -269*1488184\nAnswer: -400321496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of ((-336)\/63)\/(3\/((-513)\/6)) and 40.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29027389\/1529383977 + -1\/468131. Find the common denominator of y and -73\/6.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, 7, -20 in descending order.\nAnswer: 7, 1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -o**6\/120 - o**5\/40 - o**4\/48 - 9*o - 1. Let j(z) be the first derivative of t(z). Factor j(u).\nAnswer: -u**2*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147*w - 151*w = -3*j + 80, 2*j = -51*w - 1181 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, o: 7}. Give prob of picking 3 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k**2*o**4 - k**2*o**2 - 10*k**2*o - 5*k**2 + 362*o**6 + 6*o**4 + 7*o**2 wrt o?\nAnswer: 48*k**2*o + 43440*o**3 + 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 5) to base 6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55128, -59962, -64806, -69666, -74548, -79458, -84402, -89386?\nAnswer: -94416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -37*o**4 + 2*o**2 - 29*o. Let p(l) = 37*l**4 - 3*l**2 + 29*l. Let n(m) = 3*h(m) + 2*p(m). Find the second derivative of n(v) wrt v.\nAnswer: -444*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(78) - (sqrt(78) - -3*sqrt(78)))*3 - sqrt(78)) + sqrt(78))\/sqrt(6).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*s**4 + 7657*s**3 + 5*s**2 + 3089*s + 114.\nAnswer: -36*s**2 + 45942*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, 361, -3 in increasing order.\nAnswer: -3, 3, 5, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1010160223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*t - 12*t + 14*t.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 2*w + 4913, 12*a + 2*w = 13*a - 989. Calculate the highest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 11*j**2 - 12*j + 18. Determine l(-10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**5\/660 - 23*x**4\/264 + x**3\/3 + 70*x**2. What is n in g(n) = 0?\nAnswer: 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = r + 4, -2*x - 4*r + 1320 = 0. Suppose -3*u + 3*d + 699 = 6*d, -3*d - 729 = -3*u. Suppose 3*l - 3*t - 2*t = x, -5*t - u = -l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -i + t, 64*i - 2 = 65*i - 2*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6.7 - 46.3. Let l = -52.9999888 - u. Round l to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 25 = 9. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 3*s + o, -7*s + 4*o + 7 = 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*b + 9. Suppose -3*s = -5*p - 766, -6*s + b*p + 1282 = -s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(27) - (sqrt(27) + (sqrt(27) - sqrt(108)*2))))**2.\nAnswer: 36*sqrt(3) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3243 or -151862?\nAnswer: -151862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -76, -156, -238, -322, -408?\n\"Answer: -l**2 - 77*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 1\/6, -3, -2\/27, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/6)\/(10\/(-150)). Let y = 14.4 + -14. Put -0.1, y, f in descending order.\nAnswer: y, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(7 + 77)*-20\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44627 - 1460 = -2143*o + 99081 + 70523 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g + 22. Suppose 4*y + 84 = -0*b - 2*b, 3*b + 6 = 0. Let l be u(y). Solve -3 = l*m - 3*t, 2*m - t - 7 = -4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13\/48 - 1\/48. Let i = -156\/7 - -22. Which is the third biggest value?  (a) t  (b) -3  (c) 0.1  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 - -29. Let a be f\/(0 - 3) + -77. Let h = a - -76. Let j(t) = 3*t + 2. Determine j(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24235*u**2*x - 3*u*x + 855*x wrt u?\nAnswer: 48470*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 702.327 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -7, 4, 5, 0, 2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7993038 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 4 = 4*i, 0*i - 4*t = -4*i + 4. Let w be i + (-11)\/7 - 6110\/(-10815). Is 1 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and 19134928.\nAnswer: 19134926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12000 - -12?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1375963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 86087525*z**2 + 65541*z + 92.\nAnswer: 172175050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (8 - (-1 + 8))*-4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 683308517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -149, 32, -5, -1 in decreasing order.\nAnswer: 32, 4, 0, -1, -5, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 1 = -2*a + 4*a, 0 = -2*a + t + 19. What is the least common multiple of 82 and a?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/4645820 and -17\/10.\nAnswer: 4645820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*p**4 + p**3 + 56*p**2 - 33*p - 348994 wrt p.\nAnswer: 32*p**3 + 3*p**2 + 112*p - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30606, -30605, -30604, -30603?\nAnswer: -30602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 17 - -9 - (-3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/3*(-40 + -13031) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/18, -5, 1\/15.\nAnswer: -5, -1\/18, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (288\/40)\/((-1)\/5). Let m be (2\/(-7))\/(x\/(-28)). Let y = -1105\/14 - -157\/2. Sort y, m, -5.\nAnswer: -5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13344141 (base 5) in base 14?\nAnswer: 3811b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*c - 1330 + 59*c**2 - 174*c**2 - 76*c**2 - 297 - 30*c**2 wrt c?\nAnswer: -442*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -60 - -60. Let y(i) = i**2 - 2*i + 58. Let h be y(k). What is the greatest common divisor of 87 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, -0.3, -0.9, 2\/3, -0.4 in descending order.\nAnswer: 2\/3, -2\/15, -0.3, -0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 4*c - 39 = 0, -3*c - 34 + 0 = -o. What is the remainder when 181 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -q - 3*h + 7, -5*q + 15 = h. Suppose q*w + 0*g = -5*g - 7, -4*g = 5*w + 9. Calculate the remainder when 22\/((-1 - w) + 2) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 AM and 7:26 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 22 + 30 = 2*b, -b = -2*x for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13414566 divided by -6707283.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 0.093?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(15)\/sqrt(3) + 1)*-2)**2.\nAnswer: 8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4 = 2. Suppose -5*h = o + 2*o - 19, 0 = -l*h - 5*o. What is the second derivative of 3*v**h + 42*v**2 - 3*v - 42*v**2 wrt v?\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2*l**2 - 44*l - 60. Let i be ((-26)\/7)\/(8\/(-56)). Calculate the remainder when r(i) is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q\/(q*(((q*q**2)\/q)\/q)\/q)))\/(q*q*q**(-2\/7)*q)*q**(-2\/7)\/(q*q**(-1\/2)*q) assuming q is positive.\nAnswer: q**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.125 - -0.125. Let h = -0.437 + -0.013. Let o = -0.05 - h. Is o greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*w**2 - 8*w**2 + 16*w**2 + 5*w - 5*w.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 508771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 404.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3337713 divided by -1\nAnswer: -3337713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 21 = 3*a. Let g be (9 + -10)*(a - 1). Let m be ((-13)\/2)\/((-1)\/2). What is the highest common factor of g and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4001*c**3 - 8*c**3 + 79 - 78 + (6*c - 3*c - 2*c)*(c**2 + 3*c - 3*c).\nAnswer: 3994*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 - (12 + -9) - 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 9 - 9 = 5*y. Which is the closest to 0?  (a) y  (b) -5  (c) -72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34591786*u**3 + 34493982*u**2 wrt u.\nAnswer: -207550716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-54)\/(-675))\/((-1)\/(-5)). Let k be 4\/(-6)*(-15)\/6. Put s, k, 3 in increasing order.\nAnswer: s, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of -43*t**7\/105 - t**4\/6 - t**3\/3 - 32*t**2 + 2. Find the second derivative of f(d) wrt d.\nAnswer: -1032*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -51279 and 416574050.7.\nAnswer: 416522771.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gjvdjnjjccvc. What is prob of picking 1 d and 2 v?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, 238 in ascending order.\nAnswer: -2, 2, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 4*p + 2*v + v, -4*p - 2*v + 156 = 0. Suppose -7*l + p = -4*l. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -38.7 * -0.18.\nAnswer: 6.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 - 8*d + 6. Let l(k) = k**2 - 8*k + 5. Let q(o) = 2*g(o) - 3*l(o). Suppose -5*n = 5*x - 76 + 11, -4*n - 2*x = -42. Calculate q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -237.173 + 237. Let r = m + -0.037. Let d = r - 0.19. Which is the closest to -1?  (a) 2  (b) d  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/234 and 55\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -140 - -224. Let i(a) = 2 - 4*a + x*a**2 + 83*a**2 - 165*a**2. Let o be ((-6)\/15)\/((-3)\/15). Calculate i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 4 = 3*k - 10, -8 = -4*l. Suppose 2 - 8 = -k*u. What is the tens digit of (2 - (-81 - u)) + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2009300 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -30*y + 4. Let l(b) = -b + 1. What is -4*l(z) + r(z)?\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 6 - (-127 + 124).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 186, -1\/8, -4\/5, -33 in ascending order.\nAnswer: -33, -4\/5, -1\/8, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6629, 355, -5919?\nAnswer: -12193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1*49 + 12\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 15) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25 - 2. Let n = -21 + t. Suppose 10 = 4*s + n. Solve s*y = m + 1, 4*y + 3 = -m + 7*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -79555 minus -1611?\nAnswer: -77944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 3 m when four letters picked without replacement from {m: 14, l: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3438*p - 91 + 91.\nAnswer: -3438*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -34, 0.005, 1.8, -2\/5 in ascending order.\nAnswer: -34, -2\/5, 0.005, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m + 5*d - 10, -5*m + 18*d = 54 + 43 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 2) + (7 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j + 3*s + 3, 5*j - s + 5 = 10*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16963392 to the power of 1\/2, to the nearest integer?\nAnswer: 4119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -6*w - 2 + 1 - 5. Let c be b(-3). Suppose c = 4*h - 36. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 94913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -107722 - -27576885\/256. Find the common denominator of w and 1\/20.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**4\/19 - 28*b**3\/19 + 82*b**2\/19 - 8*b\/19 - 120\/19 = 0. What is b?\nAnswer: -1, 2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3042 divided by -1521\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 divided by 4555?\nAnswer: -32\/4555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/12 - 5\/6. Let p = 2.787 + 0.213. Which is the second smallest value?  (a) m  (b) 5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**7*f*f*f*f\/f**(-3))\/(f**(-1)\/(f*f*f*f*f\/(((f*f\/(((f\/(f*f\/(f**8*f))*f)\/f)\/f))\/f)\/f*f)*f))*f**(-9)\/(f*f**(-6))*f**2*f**6 assuming f is positive.\nAnswer: f**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 3*a**2 + 190*a + 890. What is c(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 8 = k. Suppose k*q + 5*t + 6 = 20, 0 = -3*q - 5*t + 13. Is 1\/(q\/37*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 684*i + 2054. Let s be t(-3). Solve -h = 243*k - 239*k + 5, -4*h + s*k - 20 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2147 divided by 6.\nAnswer: -2147\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8.1 + 8. Suppose 9*x = -16*x + 100. What is the third biggest value in -2\/5, n, x, 1\/36?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, u: 1, o: 2, c: 3, t: 4}. What is prob of picking 1 c, 1 t, and 2 o?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 17*p = -19*p, 0 = 5*r - 2*p + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of 3949*h**3\/6 + 5479*h**2\/2 - 3120*h. Differentiate r(a) wrt a.\nAnswer: 3949","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 55 - 54.9. Let m = -0.18 - -8.18. Which is the third biggest value?  (a) m  (b) g  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*h - 6*h - 2885*h**2 + 1093*h**2 + 1281*h**2 to q*h + i*h**2 + n and give i.\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v - 4 - 2*v + 20 + 0*v. Let u be b(0). Calculate the greatest common divisor of u and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 69 - 41. Suppose 2*m + 0 = r. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -364645*f + 94. Let j(z) = 5*z. Give k(j(b)).\nAnswer: -1823225*b + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lfxllllffx. Give prob of sequence fl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1825436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 90 = 17*j, 0 = -181*j + 184*j + 2*g - 60 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -69*m**3 - 582*m**2 + 426*m + 671. Calculate c(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of q**3\/3 - 8*q**2 + 51*q + 57. Let w be h(12). Put w, 4, -2 in decreasing order.\nAnswer: 4, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-198)\/165 + 9\/720*116?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9*-34*12\/612*-18. Let t be (-2)\/6 + (-112)\/(-3). Let s be t\/(0 - -1) + -1. What is the greatest common divisor of s and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 2*w - 92, -3*w + 9 = z - 29. Suppose 8 = 4*k - z. Let s = -124 - -189. What is the highest common factor of s and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1651.9 + -1652. What is the nearest to o in -0.03, 0.1, 2\/3, 2\/15?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 323119.503 nanoseconds to weeks.\nAnswer: 0.0000000005342584375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10509706 + 258747?\nAnswer: 10768453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**5\/3 + 20*t**4\/3 + 16*t**3 + 44*t**2\/3 + 14*t\/3.\nAnswer: 2*t*(t + 1)**3*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 2*x + 20, 4*s + 44 = -3*x - 2*x. Put 1, x, 5 in decreasing order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 8  (b) 0.012  (c) 0.01  (d) -1  (e) 38\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - j - 1738, -13*t - 2*j = -17*t - 2324. Let o = -355 - t. Is 25 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3742783 divided by 340253.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 0, 1\/94, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - z**3 - 2 + (24 - 24 - 2*z)*(-2 + 2 + 2)*(7 + 5 - 6)*(-z**2 + 1 - 1).\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 86308 = -2*f + 56717, 4*y = -5*f + 357622. List the prime factors of f.\nAnswer: 2, 5, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587828 divided by -4?\nAnswer: -146957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + (sqrt(720) + 1)*4 - (2 + -2 + sqrt(720) + 1))*2)**2.\nAnswer: 288*sqrt(5) + 25924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 0*g - 5*g + 2 - 3*g. Let i(u) be the first derivative of 4*u**2 - 2*u + 34. Let x(z) = -6*i(z) - 5*w(z). What is the derivative of x(y) wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7823 + 25350. List the prime factors of a.\nAnswer: 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 264 + v - 264 - 53*v**2. What is w(1)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 342911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 + 10*m + 28. Calculate the remainder when 302 is divided by r(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.2, -0.272942, 1.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 1\/4540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 284 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 10:52 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 1 - 27 = -4*m, -4*m + 40 = 4*b. Solve 3*o + d + 19 = -3, 10 = -3*o + b*d for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -3*n, -5*t + 7 + 5 = -2*n. Suppose 6*i + n - 16 = 0. What is the tens digit of i\/10 + (-3432)\/(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 198 + 22 = -5*r. Let j = -8975 - -89637\/10. Find the common denominator of 20\/6*30\/r and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 3:28 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 285 and 11495.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(0 + ((1*(sqrt(119) - -3*sqrt(119)))\/(-1*(sqrt(7) + sqrt(28)))*-5 + -4)**2).\nAnswer: -6944\/9 + 160*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.15 * 0.333.\nAnswer: 1.71495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -583*z - 3. Let o(q) = -56550*q - 290. Determine -3*o(t) + 290*s(t).\nAnswer: 580*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40 + (7 + (-2 - -4) + 1 - 1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -897 + 904.69. Round d to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 703362098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(180))\/(sqrt(441)*-1))**2.\nAnswer: 80\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 269, -0.3, -1\/3.\nAnswer: -1\/3, -0.3, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeyyyyeyyyyyykeyekee. What is prob of picking 3 e and 1 k?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2961 = 23*o + 937. Calculate the highest common divisor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 4 - 33*p - 6 - 5 - 3690*p**3 - 45*p**2 + 25*p**2 + 2. Is r(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -55 + 54. Let t be (-4 - f\/1) + (11 - 3). Suppose d + 1492 = t*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 128.33, -32 in descending order.\nAnswer: 128.33, -0.2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g - 7. Let t be v(-6). Calculate the common denominator of -27\/2 and (t - -231)*(-12)\/(-336).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2023*2\/8 - (-33)\/(-44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 = 20*r + 11*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 7:22 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 4. Let a(t) = -t**2 - 11*t + 10. Let f be a(g). Suppose -y = 3*y - f. Solve -29 = -y*k + 4*s, 0 = 4*k + k - s - 26 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l**2 - 139934309*l + 194820453 with respect to l.\nAnswer: 2*l - 139934309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, -14, -40, -76?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42467, 84932, 127397?\nAnswer: 169862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + (-1*sqrt(128) + 3)**2) - ((-1*sqrt(24)*5)\/sqrt(12) + (2*sqrt(242))**2 + sqrt(18)*4).\nAnswer: -551 - 151*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-7))\/(762\/1778)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-70 - (-60 - -29))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -3\/6409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -346970*i**2 - 2198*i. Let g(p) = 632*p**2 + 4*p. Give 1099*g(w) + 2*y(w).\nAnswer: 628*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28*q - 3*q + 5*q)*(-2 - 2 + 2)*(5 - 1 + 2) + (-4*q + 18 - 18)*(-4 - 1 + 6).\nAnswer: 308*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6234961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 251 in 26, 1561, 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 8912, 17843, 26774?\n\"Answer: 8931*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -73*n - 2 - 92*n**3 - 4504*n**3 - 2 - 141*n**3 wrt n.\nAnswer: -28422*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 8:18 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 58351169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (33*y - 24*y - 17*y)*(-260*y + 124*y + 32 + 140*y) to the form h*y**2 + r + z*y and give z.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 216 = -0*h. Is (h - 4) + (-1)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11860980617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2590525428 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 52130211 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3328)*4)\/sqrt(4) + -4)**2*5.\nAnswer: -1280*sqrt(13) + 66640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rcc when three letters picked without replacement from rccrfrrccrr?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 655 divided by -3.\nAnswer: -655\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9105421585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2807587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 - 13*g**2 + 2*g - 19. Let v be y(13). Suppose v*o - 161 = -0*o. Calculate the remainder when 67 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and 0.05874.\nAnswer: -0.05874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -93*y - 2209. Calculate d(-24).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1201 - -1194. Sort -4, q, -2, -1\/5 in decreasing order.\nAnswer: -1\/5, -2, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 10:18 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1024758595 and -0.1.\nAnswer: 1024758594.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.504 + -4.504. Which is bigger: b or -0.68?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78556552?\nAnswer: 2, 47, 208927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**2. Let p = 7829\/6 + -1301. Let z(c) be the second derivative of 0*c**2 - 11*c + 0 + p*c**3. Calculate z(m(y)).\nAnswer: -46*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 601 is divided by 174.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 331 = 3*k, k - 7*g = -3*g + 108. Calculate the remainder when k is divided by 1*(25 - 25 - -23).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 572*p**2 + 52*p + 5. Let d(l) = -l**2 + 18*l + 3. What is -3*d(y) + w(y)?\nAnswer: 575*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -87*r + 27*r + 25*r + 31*r. Let v(g) = 19*g - 2 + 7 - 5. What is h(v(y))?\nAnswer: -76*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 21538973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-16)\/(-10))\/(18\/(-180)). Let a = 18 + x. What is the remainder when 65 + 2 + a\/2 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8206, -7100, -22406, -37712, -53018?\n\"Answer: -15306*s + 23512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(2\/31)*y)*y*y\/y**(-9)*(y\/(y\/y**3))\/(y**(-9)\/y*y))**(10\/13) assuming y is positive.\nAnswer: y**(7110\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 - -21.5. Let t = -1.7 - w. Which is the third biggest value?  (a) -5  (b) t  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 5:56 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 16 = 0, -6*t + 4*t - 5*j + 24 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + 1560360?\nAnswer: 1560355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26*n**2*v**3 - 3*n**2*v**2 - 4*n**2*v - n**2 + 2*n wrt v.\nAnswer: 156*n**2*v - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 374\/(-408) + 1\/3 + 2\/(-3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 + -11. Let c = 23 + r. What are the prime factors of 3 + c + (0 - 2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.04 and 54246?\nAnswer: -2169.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6926465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 398315720?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, e: 2, k: 5, q: 3, d: 2}. What is prob of sequence ds?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 7 = -62. Suppose -17 = -4*x + o. Let r(u) = u**2 - 7*u + 6. List the prime factors of r(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 829467 and 1.\nAnswer: 829467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 1. Suppose 2*t + j*t = 0. Let m(b) = b + 12. Calculate the remainder when 22 is divided by m(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 - 2*t + 6. Let r be a(-3). Suppose -5*i = -2*i - r. Suppose -v + i = -2. Solve -h = -v, -4*h = -2*n - 3*h - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*g + 2519 + 2431. Do 450 and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 - 9. Suppose b*h = -0*h. Let y = -4.0614 - -0.0614. What is the nearest to 0.4 in h, y, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 366 + 105 = 3*m. Suppose 3*n = 5 + 1, -4*n - m = -3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 88443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-2)*1*((-531)\/(-243))\/(-59).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -326*j + 295*j = -4123. What is the highest common divisor of 35 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - 210a?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((36\/5)\/(-9))\/((-2)\/10). Suppose 0 = -4*u - 8 + l. Let f = 0.1 - 0.1. Which is the smallest value?  (a) u  (b) 0.4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-66))\/(((-2)\/6)\/1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -2, -4, -3.\nAnswer: -4, -3, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157507.\nAnswer: 7, 22501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -39.1 + 39. Sort 6, -2\/19, a.\nAnswer: -2\/19, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.03*0.1.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63152376.\nAnswer: 2, 3, 7, 83, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = 15 + 51. Put -4, n, -3, -1 in decreasing order.\nAnswer: n, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28*84\/(-98)*((-10)\/(-4))\/(-5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 114 = 3*w - 66. Let j(a) = -30*a - 686. What is the remainder when w is divided by j(-24)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = 6*b - 13 + 5, 13 = 5*c - 4*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 208 and 16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42.97234 litres to millilitres.\nAnswer: 42972.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j + 11. Let i be y(-6). Let u = -1569 - -1561. Which is the fourth smallest value?  (a) -2  (b) u  (c) i  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 11 = -86. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 9*u - 3*u + 49*u - 12*u - 10 + 4. Let b(t) = 14*t - 2. Give 7*b(h) - 2*k(h).\nAnswer: 12*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, -636, 4, -2 in ascending order.\nAnswer: -636, -43, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -496465 + 496472.07407. Let y = -1.07817 + r. Let c = y + -6. What is c rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 PM and 5:27 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 5*a + 115, -a + 2*a + 23 = g. Let c = 26 + a. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19.23 - -19. Let v = p - -0.03. Which is the third biggest value?  (a) 2\/7  (b) -2\/11  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is a4fd + 2?\nAnswer: a4ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 28 = a, -2 = 4*a - 18. Are y and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a**3 + 6*a**3 + 5*a**3)*(-3*a + 0*a + a) - 305 + 34*a**4 + 305.\nAnswer: 22*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 58.91513ml?\nAnswer: 0.05891513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of -8*j**3 - j**2\/2 - 48*j. Let g(p) = 2*p**2 + 10*p + 5*p - 15*p. What is g(c(i))?\nAnswer: 4608*i**2 + 192*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10836 and 2292588?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 276 - 951 = -5*x. Let y be (-3)\/4 + x\/20. Solve -y = -2*j - v, -12 = -j - 0*j + 4*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67 - 2*k**2 - 131 + 39 - 124 + 4*k.\nAnswer: -2*k**2 + 4*k - 283","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1522129 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -7*i. Let v(n) = 87*n**2 - 4*n - 8. Give l(v(d)).\nAnswer: -609*d**2 + 28*d + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -11450, -11626, -11802, -11978?\n\"Answer: -176*b - 11274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*j - 867 = -66*j + 112*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= 2\/6887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5710*d - 128 = -5694*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 16 = 4*j - 0, 0 = -3*j - 12. Let q = -2987290\/53 - -56364. Is q at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10992012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 7) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b. Let n = 2 - 0. Let m(u) = 2*u + 3*u**n + u - 3*u. Give m(h(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l*m**5 - l*m**4 + 16*l*m**2 - 4*l*m + 13*m**3 - m**2 + 4*m wrt m.\nAnswer: -120*l*m**2 - 24*l*m + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j**3 - 50*j**2 + 220*j - 268. Give g(3).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12292057123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v + 5*v - 5*v - 1 - 1 + 2*v + 1 + (-2 + 0 + 3)*(-2*v + 2 - 2) - 2*v + 2*v - 8*v.\nAnswer: -9*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (1 - 6 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 2*v - 20 = 2*s, -5*v - 5*s - 15 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00033087 to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 2 - 3*k + 0 in the form i*k + o and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.9209 - -8.9209. Suppose 2*o + 1 - 3 = 0, 2*f + 4*o = 10. Which is the nearest to -1\/2?  (a) v  (b) f  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 3*a + 1. Calculate f(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 211803071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 0*p + 1\/3*p**3 + 1\/60*p**5 - 2*p**2 + 1\/8*p**4 + 0. Let z be j(-6). Calculate the highest common divisor of z and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14*(-11)\/539*21*2\/((-36)\/129).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11)*-2*-2 + -1 + sqrt(44) + -2 + sqrt(275) + 1 + (-1*3*sqrt(88))\/(-4*sqrt(32)).\nAnswer: -2 + 91*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w - 10*w - 4*w - 19557 + 20509 for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91 = 6*g + 17 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 566077091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -203 - 2347*z - 1091*z + 203 to the form p + q*z and give q.\nAnswer: -3438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 50 + -40. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + 19738053.\nAnswer: 19738052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 125*i**2 + 66*i**3 - 67*i**3 - 22 + i - 3*i + 19 as m + g*i**3 + w*i**2 + k*i and give w.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 5*u**2 + 91*u + 481. Calculate l(-10).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-70)\/(-25)*1260\/7938.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 15*o**3 - 3*o**2 - 4*o. Let q(a) = 47*a**3 - 10*a**2 - 13*a + 1. Give 2*q(h) - 7*u(h).\nAnswer: -11*h**3 + h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001885 to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2494 + -2493. Sort -3, -1\/16, 2\/23, s in ascending order.\nAnswer: -3, -1\/16, 2\/23, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + g + 192. Let p = -14 - g. Suppose 4*c - p - 102 = 0. Calculate the remainder when c is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18 + 13. Let s = -2 - r. What is the second smallest value in -4, 2\/5, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/42  (b) 21  (c) -2.9  (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.01 - 0.408. Let h = s - 0.012. What is h rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4106678 + 0.3?\nAnswer: 4106678.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.2  (b) 0.2  (c) -6\/7  (d) -148  (e) -1\/3  (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 285 + -281. Let u(v) = -v**2 - 4*v + 8. Let m be u(-6). Which is the nearest to 1\/2?  (a) x  (b) m  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r**2*w**2 + 2*r**2*w - 3*r*w**2 + 692*w**4 - w + 797 wrt w?\nAnswer: -4*r**2 - 6*r + 8304*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -7db?\nAnswer: 7d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50 + 23 - 5*v - 6.\nAnswer: -5*v + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7\/5, 9\/4, 3\/2, -82, 2?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(832) - -3*sqrt(832)) + 2 - (sqrt(832) - (-5 + 0 + sqrt(832))))**2*5.\nAnswer: -960*sqrt(13) + 66605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/6 of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 1. Suppose 2*d + r + 1 = -p, -d - r = 5. Let n(t) = -t. Let x be n(-4). Solve -i - 3*b = -3, -4*i = -x*b + 4 - d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c - 4*c - 4*y = 19, c + y - 2 = 0. Suppose 18*x**3 - 6*x**2 - 3*x**c - 2*x**2 + 13*x**3 = 0. What is x?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 11:27 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 10 + 10 - 587544744*h**2 + 587544742*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 4*j**2 + 6*j - 2. Let p be t(-2). Is (-2349*p)\/(-3) - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1350*n - 3*c = -1352*n - 11, 0 = -5*n - 2*c + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -509\/5, -2\/5, 7, 24?\nAnswer: -509\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -7  (b) 0.4  (c) -45.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 56\/294*6\/(-4). Let z = -2.46 + 10.46. Which is the fourth smallest value?  (a) p  (b) 0.07  (c) z  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1410357000 to the power of 1\/3, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1838271709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*m**2 - 148906*m + 148908*m + 17*m**2 - 20*m**2.\nAnswer: -11*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 2\/3, 2\/19, -1\/441, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -300.242898 to 1 decimal place.\nAnswer: -300.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -85358*m**4 - 5*m**2 + 86822*m**4 + 3*m**2 + (4*m + 0*m - 2*m)*(0*m**2 - m**3 + 0*m**2).\nAnswer: 1462*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00045359 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -108859, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -3*l + 4. Is 1 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 48\/(-60) + (2 - 648\/(-10)). Find the common denominator of 61\/14 and ((-1827)\/(-14210))\/(1*u\/250).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11514 + 275222?\nAnswer: 263506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -3\/8, -0.3, 5\/14?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - 4*k + 41, 4*p - k - 11 = 31. Solve -2*n = 3*n + 5*b + 20, n = 4*b + p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3729.863 rounded to the nearest 100?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -71424 divided by -2976\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -10445?\nAnswer: -10445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.085 - 3.955. Let n = 4.34 + j. Let t = 0.6 - 0.6. What is the closest to t in 0.4, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -641362 or -641375?\nAnswer: -641362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 - 2*b - 2. Let y be w(-2). Let x be 125*-23*(-4 + -22*y). What is x rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 726 - 725. Let w be o + -5 - 11\/(-2). Solve 0*f + 3*f**2 + 0 - w*f**4 - 3\/2*f**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15604, -15420, -15114, -14686, -14136, -13464?\nAnswer: -12670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 12 + 4. Let d(k) be the first derivative of -k**2\/2 - 10*k + 78. Calculate d(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - d**2 + (0*d - 7*d - d)*(-54*d + 36*d + 26*d + 8).\nAnswer: -65*d**2 - 64*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of -h**7\/210 + 485*h**6\/24 - 259*h**4\/8 - 1431*h**2 + 2. What is the second derivative of x(n) wrt n?\nAnswer: -12*n**2 + 14550*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -103, -206, -309?\n\"Answer: -103*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/(-8)*2\/(-1). Let s = 15.6 - 2. Let b = -14 + s. What is the third smallest value in b, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 6. Let d(h) be the first derivative of h**4\/4 + 5*h**3\/3 + 3*h**2\/2 - 5*h + 36. Give d(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - 19*g**2 + 3*g + 86. Give p(18).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1304577474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 9087 times 281\nAnswer: 2553447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of 13*m**7\/42 - m**5\/2 + 215*m**3\/6 + 213*m. What is the second derivative of d(y) wrt y?\nAnswer: 260*y**3 - 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/106)\/(1\/2). Let d = -19622 - -19622. Is d at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 68712 - 198720 = -5*j, 0 = 4*x + 2*j - 173330. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {x: 1, z: 3, o: 1, d: 1, q: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/8*v - 1\/8*v**4 + 1\/8*v**2 + 1\/8*v**3 + 0.\nAnswer: -v*(v - 1)**2*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-634385)\/150 - 4\/(-10). Let u = -4247 - l. Let b = -44260\/12901 - -4\/1843. Calculate the common denominator of b and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {t: 2, e: 3, p: 4, c: 6}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(8\/12)*-13. Solve 2 = -r, 11 = 5*v + 4*r + u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 413*i - 197*i - 6264 = 0 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -73271, -146541, -219807, -293069, -366327, -439581, -512831?\n\"Answer: 2*t**2 - 73276*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 63 divided by 5\nAnswer: 63\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sysyyyyy. Give prob of sequence ysy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 154511881 to the nearest integer?\nAnswer: 12430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -46505 (base 8) to base 5.\nAnswer: -1113111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 10*t - 170. Let y = -398 - -415. Let i be q(y). Solve i = 17*x - 21*x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 25*d + 56. Calculate the remainder when t(25) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66863418173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2*p**2 - 4*p - 10. Let h(o) = o**2 + 5*o + 10. Let m(j) = 2*d(j) + 3*h(j). What is the first derivative of m(r) wrt r?\nAnswer: -2*r + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, n: 2, p: 1, q: 2, x: 1}. What is prob of picking 1 o, 1 p, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (2 + 31\/((-155)\/495))\/(1\/(-9)) is divided by 147.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(80\/36) - (29 + -29). Let s(n) be the first derivative of 13\/2*n**2 - w*n**5 + 0*n**4 + 0*n**3 + 0*n + 11. Find the second derivative of s(b) wrt b.\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z**(-4)\/z))**(-4\/3)\/(z**(-4\/5)\/(z**3\/z)))**16 assuming z is positive.\nAnswer: z**(-928\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**2)**44\/(z**(2\/11)*z**(-7\/2)))**(-6\/23) assuming z is positive.\nAnswer: z**(-6027\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.463 - -0.54. Let g = 0.04 - h. What is g rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 968707987?\nAnswer: 13, 74515999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -32*n + 31*n. Let k(l) = l**2 - 11*l + 7. Let x be k(n). Do x and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-35 - (-4640)\/120)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23961053, 23961052, 23961051, 23961050, 23961049, 23961048?\nAnswer: 23961047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 291 = -4*f, 140 + 88 = 3*f + p. Let z = f - 72. Solve 0 = 2*s - i + 15, 2*s + s = -z*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wpn when three letters picked without replacement from hwhpwahppppnwhw?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - ((10 - 10) + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-385)\/(-147))\/5 + 4\/(-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((7 - (-738)\/(-96))*4)\/((2\/(-1))\/(-32)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + 0 + -2 + -3. Let t = -3 + 5. Suppose t*z = -z - 3. Which is bigger: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - -1388366133.\nAnswer: 1388366125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - x = 7*o - 47, -5*o - 4*x + 53 = 0. What is the least common multiple of 5 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16946509 = -0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 685778, 2743139, 6172074, 10972583, 17144666, 24688323?\n\"Answer: 685787*w**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 18 - (15 - -3) - (41 + -6)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-11 + 4 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -841*f**3 + 2620672*f**2 - 361460*f + 12464.\nAnswer: -(f - 3116)*(29*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 2*l + 3914, l = -3*m - m + 3911. What are the prime factors of m?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18.85 + 0.15. Let l = v + -21. What is the third smallest value in 7, l, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + -6. Let p be (-800)\/(-3)*225\/n. Round p to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*h**3 + 0*h**3 - 2*h**3 + (210*h - 210*h + 89*h**2)*(0 + 0 + h).\nAnswer: 91*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -13*n**2 + 774*n + 16630. Let p(h) = -5*h**2 + 258*h + 5543. Let z(r) = 11*p(r) - 4*t(r). Determine m, given that z(m) = 0.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.5, 4\/7, -0.17, 4?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1628054 divided by 2\nAnswer: -814027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 61460.466 rounded to the nearest ten?\nAnswer: 61460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 4*m**2 - 3*m - 7. Let c be i(5). Let v(y) = 15*y**2 + 2*y - 4. Let j be v(c). Suppose -5*l = 0, -3*x + 2*l + 298 + j = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) -2\/9  (c) 1  (d) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvcvccvvvvvvvvv. What is prob of sequence cvvc?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(189)\/sqrt(7) + ((sqrt(192) + 2 + sqrt(192))**2 - sqrt(3)).\nAnswer: 66*sqrt(3) + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 0 = -m. Suppose -2*p - 3*c = 73, -c = -m*p + 14 - 188. What is the common denominator of (10 - 58)*2\/(-21) and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 17 - 15 = 0. What is the lowest common multiple of 4 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 3*b + 7, -u - b = -2*u + 3. Suppose w - 10 = -4*w. Let n(t) = -3*t**w + 2*t - 5*t**2 + 1 + 2*t**2. What is n(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -32.6 + 29.01. Let p = 4.5 + g. Round p to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 + 80*c**2 - 235*c - 357. Let l be s(-82). Sort 3, -3, 0, l in ascending order.\nAnswer: -3, 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-50)\/(-225) + (-4)\/18. Suppose 64*q - 5*a = 65*q - 4, 4*q + 4*a - 16 = 0. Let l be ((-4)\/(-6))\/((-4)\/(-18)). Solve j = -t + q*t + l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -15*y - 7*y + 39*y - 16*y. Let d(r) = -19*r - 2. What is d(x(u))?\nAnswer: -19*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 1 = 3*v. Let k be (63\/(-6) + 3)\/(v\/(-78)). What is the tens digit of ((-6)\/15)\/(24\/k)*16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 2. Suppose c = 5*c + 2*l - 14, -2*c + 5*l + f = 0. Let h(b) = b + b - c*b. Let w(j) = 2*j. Calculate w(h(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 6 = -4*z. Suppose -5*m + 33 = -3*s, -4*s - 13 = -9. Solve -3*q - z = -m*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15*(-8)\/360*1*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1\/7, -10531307 in increasing order.\nAnswer: -10531307, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/69409 equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from avvhvvvhd. Give prob of sequence hvha.\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9339551665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -2*o + 146, -o + 40 = -5*m - 19. Calculate the remainder when 156 is divided by o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 5*l**2. Let o(y) = 3*y + 12. Give o(a(j)).\nAnswer: 15*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 9*y + 2*y + 20 - 31. Let v be z(2). Suppose -l - v = -61. What is the remainder when l is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15619543424 + 23247.\nAnswer: 15619566671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -138, -610, -1412, -2544?\n\"Answer: -165*p**2 + 23*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 432 a factor of 7271418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 61 or 54?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10101221 - 101?\nAnswer: 10101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324*v = -290*v - 516 + 7270 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 17*w**2 - 15*w - 38. Determine f(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 537 and 2.52.\nAnswer: 1353.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - -1. Let b = -86 + 173\/2. What is the second smallest value in -5, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 881767790?\nAnswer: 2, 5, 23, 457, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/8 + (-136)\/(-32). Suppose -8*f = -y*f - 6. Suppose 5*q + 3755 = 5*s, f*q = -3*s + 886 + 1357. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2232796 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 61144159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + t + 32 = 3*r, 5*t - 58 = -4*r. What is the lowest common multiple of r and (-252)\/24*(-8)\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1480147, -1480150, -1480153, -1480156, -1480159, -1480162?\nAnswer: -1480165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 - 7*d**2 - 8*d - 9. What is o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 43\/(-3) - 44\/66. Let b be ((-33)\/176*-8)\/(p\/(-52)). Factor -12\/5*k**3 - b*k**2 - 24\/5*k - 8\/5 - 2\/5*k**4.\nAnswer: -2*(k + 1)**2*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29 - -11. Let v = q - 19. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h = -18*h + 3. Let m(d) = 6. Let t(u) = u + 1. Let j(n) = h*m(n) - 6*t(n). Give j(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and -0.106?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 170, 79, -6, -2, 1\/4 in increasing order.\nAnswer: -6, -2, 1\/4, 79, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 + 2 + -1 + 41. Suppose 6*d = 3*d + o. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from uuuullululuuuuuuuuuu.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 u when four letters picked without replacement from vvpapuupvv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 9*n + 4. Let z be q(9). Put -3, -12, z in decreasing order.\nAnswer: z, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.164 times -0.02\nAnswer: 0.10328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 0*w = 4*w + 78, 59 + 50 = -u - 3*w + 56 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - x = -9, -3*x + 5*x = -4*i + 6. Let u = i - 2. Solve u - 3 = h, 3*h = 3*p - 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46914 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + x + 3*l + 13 = 0, -3*x - 4 = 2*l. Suppose x*v - 43 = 1. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/2, -5, -1, -831, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3894*v - 42080 = -4963*v - 5734 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5440237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yvyvkyyvvy. What is prob of picking 2 y and 2 v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -405542*k = -405636*k + 2820 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n + 15. Let g be k(7). Suppose 0 = -4*x - i + g, -2 = 2*i + 4. What is the highest common factor of 8 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -n - 0. Solve 0 = -0*d - n*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91 = -13*l + 78. What is the remainder when 408 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l + 3*l + 0*l)*((5 - 3 - 1)*(5 - 1 - 2) + 3 - 4 + 2 + (-673 - 276 - 383 - 342)*(0 - 2 + 3)).\nAnswer: 3342*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -10*h - 12. Let g be 0\/(h - -2*1). Let m = g + 3. What is the closest to 0.1 in m, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/9*18\/(-32))\/(-157 - -154).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1638411011?\nAnswer: 1638411011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -w + 2, -4*w = -4*x + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 less than 5435955993437?\nAnswer: 5435955993454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -540 + -1?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (146 + 278*k + 482*k + 235*k - 146)*(-13 + 13 + 24*k) in the form j*k**2 + d*k + y and give j.\nAnswer: 23880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Does 182 divide 553520422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 7 times 0.11\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t**2 - 9*t**2 + 0*t**2 + 438 + 7*t**2.\nAnswer: -2*t**2 + 438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 - 3. Let r(t) be the first derivative of -2*t**3\/3 - t**2\/2 + 5*t - 15. What is -5*o(u) - 3*r(u)?\nAnswer: u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 64\/5 of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 5, 4, 1, -4, -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52697399?\nAnswer: 17, 433, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, h: 1, b: 1, k: 1, s: 1}. What is prob of picking 1 b and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 2*m - 12, -m - 7 = -5*b. Suppose b*u + w + 8 = -2*w, 0 = 2*u - 5*w - 8. Is (210 - u)*(-1 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 403, 399, 467, 661, 1035?\nAnswer: 1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2463.453ml to litres.\nAnswer: 2.463453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - -c41147?\nAnswer: c41146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 131886544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*a**3 + 22*a**3 - a**2 - 11*a**3 - 8 + (-6*a + 16*a + 37*a)*(-3 - 4 + 4)*(2*a**2 + 1 - 1).\nAnswer: -280*a**3 - a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q - 2 + 2 + 3*q + 2*q - 2*q + (-4 - 2*q + 4)*(3 + 2 - 10).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7424)\/3712)\/((6\/(-18))\/(8\/6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11 * 145.\nAnswer: -1595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -154*k. Let c be 55 + (-1*(-2)\/2 - 1). Let x(n) = -17*n. What is c*x(o) - 6*b(o)?\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65634, -65705, -65778, -65853, -65930, -66009, -66090?\nAnswer: -66173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1445 + 1445 - 20*j**2 + 364*j**2 + 1876*j wrt j?\nAnswer: 688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2088587*b + 1677549 wrt b.\nAnswer: -2088587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -66850256 by 4178141.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2970 = -392*c + 995*c + 3777 + 489 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 879 - 881. Let o(x) = 5*x + 5. Determine o(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11424 - -5.59.\nAnswer: 11429.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - 2 - (-76 - -83).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 2196328361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 4*f**3 - f. Let i be m(1). Let u(k) = 4*k**2 + 2*k + 4. Let c be u(-3). Suppose h + c = i*z - 30, -z + 32 = -3*h. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 4*i**2 - 2*i + 2. Let g be d(4). Let f = -55 + g. Suppose -f*c + n - 3*n - 2368 = 0, 4*c + 3*n = -3157. What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 6:11 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*c + 6 = 42*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 + 14 - 8)*(6*s**2 + 2*s - 3*s + 3*s).\nAnswer: 138*s**2 + 46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 47*m**2 + 443*m + 32. Let v be q(-34). Suppose -4*j = 3*g - 11, -5*j - 2*g + 1 = -4. Let l = -2 + j. Put -5, 3, l, v in decreasing order.\nAnswer: 3, v, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 PM and 1:07 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 38.56679ml?\nAnswer: 0.03856679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 5510*x**2 - 54*x - 23. What are the prime factors of s(2)?\nAnswer: 3, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) 4  (b) 0  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**3\/3 + 1448*t**2\/3 - 32560*t + 506400.\nAnswer: 4*(t - 30)**2*(t + 422)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 800 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 209 divide 1795728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*i + 134*i - 45*i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -990600 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/5))**(-3)*(f**0)**(2\/5))**(-17) assuming f is positive.\nAnswer: f**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + -1 - (0 + -2). Suppose p = -5*c - 2. Let k = c - -8. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2316 = -16*r + 1716. Calculate the greatest common divisor of 288 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 758*o**2. Let u(f) = -5*f**2. What is u(w(h))?\nAnswer: -2872820*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 8.052364 hours?\nAnswer: 28988510400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 114*h*o**4*q - 2*h*q - 62532*o**3*q - 18*o**2*q - o*q - 235601*o wrt o.\nAnswer: 2736*h*o*q - 375192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000151901873 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1359, 5, 9656 in increasing order.\nAnswer: -1359, 5, 9656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5885 - 620 = 5*p. Let m = p + 2060. What is the common denominator of (m\/(-18))\/(-11) - 2 and 59\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12 - 2405030?\nAnswer: -2405042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -74, -2\/43, 0.04?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, o: 3, y: 5, a: 6}. Give prob of picking 2 a and 2 o.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 70270779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 4, 1, -343, -4, 8 in decreasing order.\nAnswer: 8, 4, 1, -4, -9, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.8875607 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7453504.\nAnswer: 2, 116461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 2.472465m?\nAnswer: 247.2465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 2 + 1 + 2*g**3 + (11*g**3 + 73*g**3 - 82*g**3 + 204)*(2 - 6 + 2).\nAnswer: -2*g**3 - 406","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 13\/26*1*14. Suppose d*k - 5*k = 4*t - 22, 5*t = 4*k + 29. Solve t*y + 8*y = 26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*o + 46 + 11 = 0. Suppose -o*h - 2 + 20 = 4*s, s + 23 = 2*h. Solve -2*k - h = -0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i**2 + 4*i - 6. Let l be a(2). Suppose 12*b - 622 = l*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -146466 by 388.\nAnswer: -73233\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 8\/7*j - 1\/7*j**3 + 2\/7*j**2 + 0 = 0. What is j?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 75 and 1371.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r - 1. Let m be u(-2). Let q(y) = 5*y**2 + 7 + 2*y**3 - 2*y + y - 3*y**m - 2. Calculate q(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c = 2*j + 16, -j + 4*c - 39 = -38 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -49, 4479 in increasing order.\nAnswer: -49, 3, 4479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 2:47 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -112 divided by -28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/k**40*(k\/(k**37\/k*k))\/k*((k\/(k*k**31))\/k*k)\/k*k**(-2\/67) assuming k is positive.\nAnswer: k**(-7238\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of 13*c**3\/2 + 5*c**2\/2 - 3*c. Is i(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 263743093 to the nearest integer?\nAnswer: 16240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -6\/2597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 128\/(-60) + 2 + 2\/(-3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-1)*(528\/90 + -6). Let c = 0.1 - 4.1. Let g = -0.0174 + -6.9826. What is the second biggest value in x, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -280225*f**2 + 759833*f?\nAnswer: -560450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -241\/14 + 35\/2. Suppose -3*p + 30 - 33 = 0. Which is bigger: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 (base 10) in base 11?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -16\/5*w**5 + 0*w**4 - 12*w + 0*w**2 + 0*w**3 + 19. What is the first derivative of t(n) wrt n?\nAnswer: -64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d - 5 + 5)*(4*d**2 - 3*d**2 - 2*d**2) + d + 2*d**2 + d**3 - 2*d**2.\nAnswer: 6*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-814)\/10175*(-20)\/6.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, -10, -41, -96, -181, -302, -465?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -34 + 37. Suppose r*z + 4*z = 469. What are the prime factors of z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/10  (b) -2  (c) -2\/9  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -580743978.99999948 - -580744010. Let u = 31 - f. Round u to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -30*r - 183. Let x be f(-6). Which is bigger: -3\/17 or x?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of f**4\/4 + 6*f**2. Let x(b) = -b. Give 6*c(l) + 39*x(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 4*z**2 - 4*z. Suppose 5*n + 9 = -11. Let c be h(n). Suppose -3*d = -64 - c. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) 0  (c) -17  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 + 12. Suppose -p = o*b + 4*p - 72, 5*p = 3*b - 58. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**3 - 2*r**4 + 0*r**3 + (-2*r + 2*r - r)*(2*r - r**3 - 2*r) + 3*r**4 + r - r + (11*r**4 + 28*r**4 + 16*r**4)*(-1 + 0 + 0).\nAnswer: -53*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11827, -4238, 8395, 26060, 48745?\nAnswer: 76438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -166 + 165.814. Let v = i - -2.246. Let k = 0.06 - v. Is k less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**0*q*q*q**(-6\/11)*q*q*q**(4\/3)*q\/(q\/(q\/(q*q**(-4)))))\/((q**(-2\/3)\/q)**(-8\/13)\/(q**9*q**(-2\/3)*q)) assuming q is positive.\nAnswer: q**(7334\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(153)\/(sqrt(9) - (sqrt(9) + (sqrt(900) - sqrt(900)*4))) + -2 - (-3*sqrt(1088) + 3*(sqrt(17) + 1)**2).\nAnswer: -56 + 541*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5\/8)\/((-205)\/(-96760)). Solve -a = 10*g - 305 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 304 + -293. Let h(f) = -3*f - 6*f + 3 - w + 6*f - f**3 - 7*f**2 + 4*f. Calculate h(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xifdsdsqdxx. What is prob of sequence ds?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -18*f**3 - 2*f**2 + 2*f + 14. Let t(i) = 74*i**3 + 9*i**2 - 9*i - 56. Give 9*a(z) + 2*t(z).\nAnswer: -14*z**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -238336*i**4 - 20*i**2 - 1779*i + 1 wrt i?\nAnswer: -5720064*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -17 - -7. Let d(o) = -3*o - 8 + o + 2. What is the tens digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 26 = 2*s - 4*s, 4*s - 2*k - 2 = 0. Suppose 0 = 5*t, -4*j + s*t = -t - 16. What is the greatest common factor of 26 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*8\/(-5))\/(20\/25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -16*d - 80. Let h be l(-8). Calculate the greatest common divisor of h and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 6\/40309?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 755 or -183?\nAnswer: 755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -5 + sqrt(7623).\nAnswer: -1 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3 + 48*m**2 - 231*m + 294.\nAnswer: -3*(m - 7)**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3400 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3\/2)\/3)\/((-90)\/108)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 2*j + 45 = 36, 5 = -4*m + 3*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -444*n - 6187. Let m be h(-14). Solve 19*b = 15*b - a + m, 2*b - 13 = a for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 - 5*n**2 + 7*n + 6. Let z(m) = -m**2 - m + 1. Let c(t) = -y(t) - 6*z(t). Let q be c(-11). Suppose 0 = 3*k - 6 - 9. Sort q, k, -4.\nAnswer: -4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**3 + 0*q**3 - 301 + 300 + 19*q to a + c*q + n*q**2 + f*q**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1*208 + -2)\/2?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3226.\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q - 18. Let t be v(9). Let d = t + 19. Solve 3*y + 12 = 2*f - d, 0 = 4*f - 3*y - 32 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 4*i - 67 + 134, 21*i = 4*y + 8*i + 17*i - 228 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -41*p + 1. Let k(a) = 2*a. What is n(k(o))?\nAnswer: -82*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 AM and 5:52 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11265568?\nAnswer: 2, 352049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 736*w + 2167*w + 9133 = 766*w + 145901 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3148.5052 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 - 21. Suppose -r*w - 10*w = 39. Let j(b) = 6*b + 4. Give j(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a - 6*a + 2*a)*(1 + 0 + 0) - 17*a - 8*a + 87*a.\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 206 = -3098. Suppose -j = -3*q - 2*s, -4*q - 5*s + 0*s = -1092. Let n = -184 + q. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 51514.2 - 51514. Let r = 5.5 - 0.5. Sort m, -1\/5, r, 9 in decreasing order.\nAnswer: 9, r, m, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n be (-14)\/(-5) + (-24)\/30. Solve n*k + 1 = 3*j - 0, -2*j = 5*k + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 324982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of a**3*i**2*u*w**2 + 635*a**3*w**3 + 4*a**2*i*u*w**3 - 5*a**2*u*w**3 - 3*a*i**2*u*w**3 + 6*a*i*u*w + 2*a*w - i**2*w wrt a.\nAnswer: 6*i**2*u*w**2 + 3810*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98266 is divided by 2233?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/640, -3\/4, 3, 2, 3\/8, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - -1554. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175523 not equal to 175192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 33*q + 2005. Calculate b(-61).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = g - 4*g + 18, 5*r = g - 6. Suppose -5 = -h + g. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 22?  (a) 2\/7  (b) 1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 4*j**2 + 2*j - 1. Let u be a(-2). Solve -4*k - 8 - 4 = u*c, 2*k + 6 = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12097 + 72583\/6. Let k = 1.7 - 2. What is the second smallest value in k, -4\/3, 3, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 3 = 13. Let y = -2 + m. Suppose 3*z = y*z + 4. What is the smallest common multiple of z and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1113 and 39909?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {x: 3, z: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of -w**6\/60 - w**5\/120 + w**3\/3 - 3*w. Let h(d) be the second derivative of l(d). What is the second derivative of h(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -12*l - 22. Let j(r) = 13*r + 21. Calculate 5*j(m) + 6*n(m).\nAnswer: -7*m - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(1 + sqrt(832))**2 - (sqrt(832) + (sqrt(832) - (sqrt(832)*1 - sqrt(832))))*-2) + -4)*-5*-1.\nAnswer: 480*sqrt(13) + 16640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -307*23.\nAnswer: -7061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11.61 + 11.41. Which is the smallest value?  (a) 7.7  (b) o  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -17200 and -0.79.\nAnswer: 13588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 + c**2 - c + 7. Let j be 10\/2*(-18)\/(-15). Suppose 0 = j*g - 3*g. What is r(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.53 - -2.43. What is the third smallest value in -4.2, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -816513 * -3\nAnswer: 2449539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + q + 20 = -2*c, 5*c = -q - 5. Let p be (12\/8)\/(3\/4). Let u be 2*p - (8 + -7). Solve 5*y - 10 = u*h - 0*h, y - h = c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5243 + 6333?\nAnswer: 14606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/2  (b) 38\/11  (c) 2  (d) 0.4  (e) 3\/7  (f) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 372110147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 3*d**3 + 17*d**2 - 15*d + 63. Let y(z) = 4*z**3 + 26*z**2 - 22*z + 94. Let j(b) = 7*f(b) - 5*y(b). What are the prime factors of j(12)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1134) + (sqrt(1134) - sqrt(1134)*-2))\/(sqrt(7) + -6*(sqrt(7) - sqrt(14)\/sqrt(2))).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**2. Suppose 3*d + 4 = -v + 20, -4*v + 24 = 4*d. Let f(x) = 251*x - d - 392*x + 5. Determine f(s(m)).\nAnswer: -141*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1036886 - -50383\nAnswer: -986503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3332 + 6344. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-130) - (-24553)\/(-1118)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in -1\/9, -1\/2, 3, -150584?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 3 = -4*n + 5, 2*o = 5*n + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*i, -5*t - 2*i = -0*i - 39. Let a be (-1)\/(-1) - (-2 + -2). Suppose a*f = q - t + 3, -4*q - 2*f = -82. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 149008.4 and 0.3.\nAnswer: 44702.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (2771 - 2767)*3\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55054 is divided by 27519?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/294 and 61\/490?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + 23 - 19 - 22) + -20?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 2*n = -28, 19*h - 17*h - 17 = 5*n. Let p(t) = 0 + 24*t**2 + 0 + 13*t + h - 16*t**2 + 0. Let l(c) = -9*c**2 - 14*c - 7. What is -6*l(g) - 7*p(g)?\nAnswer: -2*g**2 - 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -3\/595, 5, -1\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/((j**(-4\/15)\/j)\/j*j))**28\/(j**(1\/24)*j\/j**(2\/3)) assuming j is positive.\nAnswer: j**(10931\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 253 - 138. Let q = f - 110. Let l = -12\/5 + 74\/35. Put -1\/5, q, l in decreasing order.\nAnswer: q, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of p**4\/48 + 55*p**3\/12 + 27*p**2 + 1029*p. Factor g(b).\nAnswer: (b + 2)*(b + 108)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 776394.2 kilograms?\nAnswer: 776394200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 377 a factor of 80008071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 - -47. Let q = o - 28.5. Which is the biggest value?  (a) q  (b) -10  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 2*v - 5 = 11 - 4, 815*y = -3*v - 3266 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10\/1739 or -1?\nAnswer: -10\/1739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1954953375.\nAnswer: 3, 5, 5213209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5.12 + -0.12. Let j = p - 5. Which is the closest to j?  (a) -0.4  (b) -4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 10\/3 of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001608147 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49 + -32. Let r = 17.942 + 0.058. Let i = d - r. Is i bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -584270 + 4?\nAnswer: -584266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 28419577 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s + 2*s - 60 = 0. Let p = -5 + 14. Calculate the remainder when p is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 73, -0.2, 2, 0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g + a = 2*g + 1533, 600 = 2*g - 4*a. Suppose 302*s + 12 = g*s. Solve -4*w + 8 = s*j - 2, -5*w = j - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14330 = i + 47082. Let n = i + 111412. Round n to the nearest one thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(3\/13))**(-1\/4)*(w*w**(-2\/17))**(-23\/5) assuming w is positive.\nAnswer: w**(-3639\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**3\/5 + 16*a**2\/5 - 18*a\/5 - 144\/5.\nAnswer: 2*(a - 3)*(a + 3)*(a + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 347627919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uir when three letters picked without replacement from {r: 4, i: 5, u: 5, v: 3, f: 2}.\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 - 36295174272\nAnswer: -36295174272.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s + 5*s**2 + 5*s**2 + 4*s + 18*s**2.\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 9 = 2*r. Calculate the remainder when 18 is divided by 5\/(-1 + r\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((0 + sqrt(1584) + sqrt(1584) + 0)**2 + (sqrt(1584) + sqrt(1584) + -1)**2*2).\nAnswer: -576*sqrt(11) + 114060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 429*o + 402*o + 360 = 801*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - (-19 - 9) - -10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-11)\/44*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*t**4\/4 + 309*t**3\/4 + 171*t**2\/4 - 309*t\/4 - 33\/2 = 0. What is t?\nAnswer: -1, -1\/5, 1, 22\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*k + 4 = 0. Find the second derivative of 0*t + 8 - 29*t**2 + t - 25*t**k + 2*t wrt t.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 + 35 = 2*j - 4*n, 12 = 2*j - 2*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-20))\/(0 + 18\/(-4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 25 = -3*y + 70, 2*y = -4*i + 42. Suppose -i*c = -12*c + 66. Solve -8 = 18*s - c*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 170*p**2 + 305*p + 81. Does 146 divide v(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28?  (a) 0.3  (b) -2  (c) -0.1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 2)*(-2*y**4 + 2*y**4 + 6*y**4)*(7 - 4 + 0).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 204808, 204797, 204786, 204775?\n\"Answer: -11*f + 204819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -4*a**2 - a + 3. Let r be x(2). Let q = r + 20. Suppose q*z - 5*u - 363 = 242, 5*u = z - 137. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57663*g + 31*g**3 + 57663*g + 32*g**3 - 58*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 10:56 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, 207, 11\/5 in decreasing order.\nAnswer: 207, 11\/5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4.255277 * -2\nAnswer: -8.510554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 2. Let u = -4.3903 + 9.3903. What is the nearest to 1 in 0.12, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -2, 5, 0 in descending order.\nAnswer: 5, 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005022 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.974 + 48.304. Let i = z + -46.3. Let b = i + -0.03. Is b not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 + -13.4. Which is the smallest value?  (a) t  (b) -2\/7  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 644 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -7103.3  (c) 1\/2  (d) 0  (e) 0.3  (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000002021 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 10}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-62)\/155 + (-1)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 160119293 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 12 = 3*w, 0*o = 4*w - o - 1. Let m be ((-2)\/16)\/(w\/2). Let x be (14\/(-35))\/(2\/(-10)). Which is the second biggest value?  (a) x  (b) -5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 180  (b) -2  (c) -1\/2177  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -618 - -949. Let f = z - 76. What are the prime factors of f?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/4)\/(9\/(-2064)). Let d be 85\/r*54\/45. Let m = 2\/43 - d. Sort m, 6, -5 in ascending order.\nAnswer: -5, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwlwwlwwwlwwww. Give prob of picking 2 w.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 10*n + 7. Let u(d) = 130 + 113 - 3*d - 245. Let p(o) = -o**3 - 5*o**2 - o - 1. Let q be p(-5). Determine q*b(c) + 14*u(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 2) + (-6 - -2) - (-137 + 165).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 - 138*i**2 + 533*i + 408. Calculate d(134).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.17 in -0.8, -0.5, 4, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1098475 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: What is 492 minutes after 12:41 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7181 and 5028203.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5691912?\nAnswer: 2, 3, 237163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009972062086 to four dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 0)*(-4*m**2 + 3 - 3).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32466 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 5958 = -a + 5946, -90*j + 5*a = -230 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -16094671 and 3.2224?\nAnswer: 16094674.2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -101  (b) -35  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002201 to seven decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(896) - sqrt(896)*2)\/(sqrt(24)\/sqrt(27)).\nAnswer: -12*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 5*t**2 + 2*t. Let a be r(-1). Let j(x) = 21*x**2 + 3*x - 2. What is the tens digit of j(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10\/9 in 1\/4, 0.2, -1, -12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*s + 106*s - 1258 = 0 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2748?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.06 or -0.01850075?\nAnswer: -0.01850075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-45 + 18*r + 45)*(8*r**3 + 3*r**3 - 4*r**3)*(-37 + 2 + 23) as y*r + v*r**4 + c*r**2 + k + z*r**3 and give v.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 8*g**2 + 21*g + 9. Let l be s(-10). Let y be 12\/28 + 9490\/(-21294). Is l bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-11))\/((-18)\/18)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -168 + 337 - 522*v - 169 to the form a + u*v and give u.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 474 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -0.5, -12, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v + v - 5*v. Suppose -2*b + 12 = 2*o, -4*o - b + 12 = -0*o. Let w(n) = 4*n**o + 4*n**2 - 3*n**2 - 4*n**2. Determine w(t(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 4*d - 18. Let b be p(8). Suppose 18*s + 24 = b*s. List the prime factors of (15*-8)\/(s\/4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, -16, -4, 28, -21, -2 in decreasing order.\nAnswer: 28, -2, -4, -16, -21, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 786\/(-36) - 0\/1 and 2 - (124\/10)\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 202 * -5.\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4734 is divided by 395?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 1 - 1)*(5*g - 2*g - g) + (-2 + 5 - 2)*(-4 + 3 - 3)*(-1 + 2 + 0)*(-164*g + 26*g - 12*g) to f*g + j and give f.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*f - f**2 + 4*f + (1 - 3 + 1)*(-16*f + 16*f + 8*f**2).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + -12 - 2) + (-22 - -22) + (198 - 204)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-17))\/l*l*l**(-21) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5282163119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 14\/65?\nAnswer: 14\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -67 + 71. Calculate the highest common factor of 5 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -80 - 68 + 996*j - 71 + 219 + 584*j**2 wrt j?\nAnswer: 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 - -5049.\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/6)\/(-6 + ((-385)\/(-198) - -4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4 + (-1)\/(-1) + 4. Let w be (2 + (-3)\/(-3))*j. Solve -g = 3*n + 1, -w*g = -2*g + n + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*z - 173*z - 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5336\/6)\/((-16)\/9 - -2). Is (-6)\/21 + (b\/14)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/8 + 46\/(-8). Let v(l) = 2*l**2 - 10*l - 33. What are the prime factors of v(o)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t**2 + t**2 + 4*t**2 - 5*t**2 - 3*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 5*x - 3162, -v = 2*x + 3*x - 3161. What is the lowest common multiple of x and 11?\nAnswer: 6952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -315 (base 8) to base 6\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/14 - (-2530)\/385.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, q: 2, n: 2, j: 3, f: 1}. What is prob of sequence qhh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 - 11*k - 10. What are the prime factors of b(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + -4553.\nAnswer: -4552.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 2) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d**(-1\/6)*d))**(-1\/7))**37 assuming d is positive.\nAnswer: d**(-37\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -701288 divided by -100184.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(-1\/7)*x)\/x)\/x*(x*x**(4\/3)\/x)\/x)**(8\/11)*((x**(-14)\/x)\/((((x**(-8)\/x)\/x)\/x)\/x))**13 assuming x is positive.\nAnswer: x**(-8977\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k - 1 - 2*k**2 + 1)*(2994*k**2 - 56026901 + 56026901).\nAnswer: -5988*k**4 + 5988*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of -6\/5*n**2 - 18\/5*n + 16\/15*n**3 + 2\/25*n**5 + 3\/5*n**4 - 11. Suppose f(b) = 0. What is b?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 428, 857, 1286, 1715, 2144, 2573?\nAnswer: 3002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-260)\/(-39)*((-2)\/4 + -1). Let z be 2\/q + (62\/10 - 3). Solve 3*g + 0 - 6 = 3*t, z*g = -2*t + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -204*j**6 + 466*j**3 + 40200*j**2 wrt j?\nAnswer: -24480*j**3 + 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w**3 - 4*w**2 + w. Determine d(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-22)\/(-11) - 3\/(-24)*-18. Which is the smallest value?  (a) q  (b) 10  (c) 3  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*f = 1866 - 1866. Does -113\/144 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*v + 13*v = 36. Let f be ((-6)\/5)\/(6\/(-140)). Let u = v + f. What is the least common multiple of 13 and u?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 4 = 4*r - 18, 4*r - 6 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 4 = 5*v. Let w be (-1 + 0)\/((-2)\/12). Solve -v*u = -6 - w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 988 + -965. Let n = -10 - -37. Solve -2*a = -z + n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 4:02 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 27126.09 months?\nAnswer: 2.2605075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 175 + 173 - 6*j - 348. Give k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 6. Suppose 7*u + 4*a = h*u + 34, 4*u + 3*a = 28. What is the least common multiple of 8\/10*u\/4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + 9\/(-3) + 4. Suppose 55 = f*p - 77. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -45*s - 8. Let k be a(-7). Suppose q = 999 - k. Suppose -267 - 85 = -2*c - w, w + q = 4*c. List the prime factors of c.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -4) + (-12 - -5) - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l - 4*l**2 + 3*l - 5*l**2 to z*l + v + q*l**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2032284 rounded to 3 decimal places?\nAnswer: 0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 552 = 9*x. Let u = x + -43. Let i(s) = 7*s + 1. Give i(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 132*x - 1. Let h(v) be the third derivative of 2*v**5\/5 + 29*v**2 + 4*v - 2. What is h(w(j))?\nAnswer: 418176*j**2 - 6336*j + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -68\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14365*c**3 - 14361*c**3 + 28719*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**(7\/5))\/m)\/(m*m**3\/m*m))\/(m**1)**(-24) assuming m is positive.\nAnswer: m**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**2 - p**2 + 2*p**2 - 33*p**3.\nAnswer: -33*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(57)\/sqrt(3) + 1 + (sqrt(19) - (sqrt(931) - (sqrt(931) + 2*sqrt(931)))).\nAnswer: 1 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26*u**3 - 140*u**3 + 9*u**2 + 20*u**2 + 47*u**2 wrt u.\nAnswer: -996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 12:13 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1670\/35 + 2\/7. Suppose 5*u - 4 = m + r, 3*u + 2*m = 39. Let z(g) = -g**2 + 6*g - 7. Let f be z(3). Solve f*w + 1 - u = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 369800 + 2\/9*l**2 - 1720\/3*l.\nAnswer: 2*(l - 1290)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3709290 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70933 is divided by 35459.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 28.701  (b) 4  (c) 1\/4  (d) -4  (e) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -26, 0, -2\/3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 111258468 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 t(k) = -2*k - 30. What is t(9)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 9 - 3 = 0. Let w(k) = -k**2 - 6*k - 2. Let h be w(p). Let g = 128 - 127. Sort h, g, 4.\nAnswer: h, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 AM and 5:29 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b = 10*k + 13*b - 350, 5*b + 70 = 2*k. Calculate the remainder when 975 is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2540891.1 months to centuries.\nAnswer: 2117.40925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of -3*j**2\/2 - 4*j + 30. Let c be x(-3). Solve -q + 2*n - 14 = 4*q, -c*q - 5*n = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2*x - 9. Let q be k(-4). Let c be q*(3 + -4)*-2. Sort 4, 1, c.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 6*h - 3*h = -24, 0 = 2*s - h + 4. Let x(n) = n**2 - 13*n + 12. Let m(y) = -6*y**2 + 90*y - 84. Let o(t) = s*m(t) - 27*x(t). Factor o(r).\nAnswer: -3*(r - 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6292 - -6292.00006263. What is s rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 - -5. Suppose 7*n = -v - 111. Let s = 37 + n. Calculate the highest common factor of 128 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/29, -0.5, 3, -1\/4, 1\/4 in decreasing order.\nAnswer: 3, 1\/4, -5\/29, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.2870307 to 1 dp.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1266281869 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*b + 0 - 3*b + 0.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-7))\/((-5)\/35). Suppose k + k = o. Which is bigger: k or -3\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7392  (b) 1\/5  (c) -1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 6, n: 10, c: 2}. Give prob of sequence nncn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s**2 + s**4 + 4*s**2 + 6*s**4 + s**4 + 2*s**4 + (-30*s + 4*s - 8*s)*(-4*s**3 + 2*s**3 + 4*s**3).\nAnswer: -58*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 11) to base 12.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1941, 15517, 52371, 124143, 242473?\n\"Answer: 1940*i**3 - i**2 - i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, u: 9}. What is prob of picking 2 u?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3821554\/223 - 17137. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 111660.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) 0.1  (c) -1341  (d) -2  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 19931 divided by 3\nAnswer: 19931\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1016 divided by 4\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 + 279*x**2 - 14 - 68*x**2 + 52 - 18 to the form c*x**2 + j + n*x and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 192214, 192215, 192216, 192217?\n\"Answer: n + 192213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + 5513?\nAnswer: 5510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 2*l**3 - 2*l - 28*l.\nAnswer: 2*l**3 - 30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -251*i**2*t**2 - 237523*i**2*t + 247*t**2 wrt t?\nAnswer: -502*i**2 + 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - 4. Let r(v) = 33*v + 31. Let k be r(-1). Suppose 6*d = d. Put p, k, d in ascending order.\nAnswer: k, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 138349396\/11 or 12577219?\nAnswer: 12577219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.5 - 1. Let v be (34\/(-51))\/((-4)\/(-30)). Put w, 5, v in descending order.\nAnswer: 5, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3015 and 3690.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2800\/(-392))\/(5\/21).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 8*s**2. Suppose f - 4*w + 10 + 2 = 0, -23 = -f - 3*w. Let v(u) = -5*u**2 - 4*u**2 + f*u**2. Determine v(j(i)).\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w - 3*h + 33, 647*w + 3*h = 652*w - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -392 - 268 = -2*z. What is the common denominator of 46\/48 + (z\/40 - 8) and -113\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 28*v**2 - 2*v - 3. What is the remainder when z(-1) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-7072)\/544*(3 - 1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + 15\/40*24. Let u = 37 - 24. Let h = u + 13. Calculate the greatest common factor of j and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -43 + 63. Suppose -c + 6*c - i = 0. What is the units digit of (60\/35)\/(c\/42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u - g + 7 = 4*u, 4*g + 26 = -u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001002 - -22?\nAnswer: -1000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2916*f - 5828*f + 2912*f - 54*f**3 - 82*f**3.\nAnswer: -136*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*q + 19*q = 0. Suppose v + 2*y + 9 = y, -14 = 2*v + y. Sort q, v, 5 in decreasing order.\nAnswer: 5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -225 by -75.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3921 or -58?\nAnswer: 3921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1329*w**3 + 573*w**2 wrt w?\nAnswer: 7974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.0198, 0.4, -1, -0.21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7 + 21521?\nAnswer: 21528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 46 + -5. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3671588442?\nAnswer: 2, 3, 29, 2887, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3*y - 12. Let i = -20 - -21. Let u be (-3)\/2*(i - 5). Let h be z(u). Solve -3*g = m - h, 2*m = m + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 PM and 3:45 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2050363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -82\/33 and -149\/209988186?\nAnswer: 2309870046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 40 - 19. Let s be (-49)\/n*(-4)\/14. Suppose 33*j - 46*j = -26. Which is the closest to j?  (a) s  (b) 1  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -49, 4, 3.\nAnswer: -49, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006431 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 61319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 600 divided by 8?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100302 is divided by 3084.\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 = 4*q + 3*w, -2*q + 20 = -7*w + 2*w. Let m be 1\/(2 + 14\/(-6)). Calculate the lowest common multiple of q and (m\/(-4))\/(1\/8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q + 1. Let o(a) = a. Let l(u) = -6*d(u) + o(u). Calculate the smallest common multiple of 5 and l(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53783 plus 20975.67045?\nAnswer: 74758.67045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 126 - 85. Suppose -d*i = -37*i + 1104. Let y be i\/234 + (-2)\/(-6) + 1. What is the biggest value in -0.5, 3\/13, y?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 105 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 392780 (base 10) to base 6\nAnswer: 12230232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*o + 5292 = 22*o - 192*o for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18234991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*m + 3*m - 66*m.\nAnswer: -76*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.331 and -0.139.\nAnswer: 1.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 - -27. Suppose 5*h + 12 + 148 = 3*n, -n + 3*h + 52 = 0. What is the remainder when n is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 445 and 82265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30 + -12. What is the lowest common multiple of 2 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((2*sqrt(68) - sqrt(68))**2 - sqrt(68)).\nAnswer: -2*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6 + -14610?\nAnswer: -14605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*y + 4*y**3 + 15 + 1 - 3*y**3 to l + o*y**3 + h*y + k*y**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 2*a - 780 = -4*f, -4*f + 740 = 4*a. Let n = f + -1708\/9. Let j = -3.5 + 1.5. Sort n, j, -0.1.\nAnswer: j, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*q + 134 + 23 = 36 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -304 - -309. Solve 2*d + c - 5 = -0*d, f*d = -c + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**3 + 0*i**3 - 9*i**3)*(2 - 2 - 2*i + (4 + 0 - 5)*(-i - i + 3*i) + 6*i - 3*i - i).\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -93528 + 43410. Let z = -400118 - d. What is z rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3714.257ml in litres?\nAnswer: 3.714257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54, 18, 9, -1, 0.\nAnswer: -54, -1, 0, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39417 and 230030104?\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**3\/5 - 48*v**2\/5 - 1491*v\/5 - 288.\nAnswer: 3*(v - 32)*(v + 1)*(v + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -74.60236 and -0.4?\nAnswer: 74.20236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*v**2 - 45*v + 2*v - 3*v**2 + 43*v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 252680 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of z**4\/12 - 5*z**3\/6 + 3*z**2\/2 - 2*z. Let l(t) = t**2 - 11*t + 494. Let o be l(0). Let n = o - 490. What is s(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-6)*11\/((-55)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/12*128\/176.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40 and 51820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-12)*7\/1?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 0. Let h = -86 - -81. Which is the second smallest value?  (a) i  (b) 0.4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (-3 - -1) - (72 - 71)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3  (b) 2\/3  (c) -2  (d) -1230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/6)*w*w**(-2\/13) assuming w is positive.\nAnswer: w**(53\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -157\/15 + 49\/5. Let b = -28 - -19. Let j = b - -14. What is the third smallest value in j, -5, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*l - 74*l + 138 - 525 = 0. Which is greater: -210\/113 or l?\nAnswer: -210\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) - (1*sqrt(128) - sqrt(128) - sqrt(128)))*3 + -5)**2.\nAnswer: -480*sqrt(2) + 4633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13220644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 2*x - 4. Let o(t) = t**3 + 2*t**2 - 2*t + 3. Let b be o(x). What is the greatest common factor of b and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(99))**2 + 3 + -1.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 9\/15 + 4935\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 6*x. Let r(j) = -4*j**2 + 15*j**2 - 10*j**2. What is c(r(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 PM and 12:01 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 10*p**2 + 7*p + 8. What is the lowest common multiple of m(-11) and 6?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 153, 1, 0 in descending order.\nAnswer: 153, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1 + (-3 - 2 + 4)*(2 - 1 + 0) + 2 - 5 + 4 + 1 + 0 + 1 + 0 - 1 - 2)*((-3*v + v**2 + 3*v)*(-6*v - 4*v - 5*v) - 15*v**3 + 2*v**3 - v**3).\nAnswer: 58*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5\/1*(-357)\/(-15). Let i be 119\/1 - 0\/1. Is i at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 4*g + 54, -r + 26 = -g + 2. What is the remainder when 83 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-3))\/(14\/(-63)) + (0 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*u - 89\/3 - 1\/3*u**2 = 0 for u.\nAnswer: -89, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/64 - (-26)\/8 - 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -2*j**4 + 4068*j**3 - 262360*j**2 - 2397156*j + 2655450 = 0?\nAnswer: -9, 1, 75, 1967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27584295 is divided by 2298690?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 338.07 + -336. Let t = k + 0.93. Which is the nearest to 0.2?  (a) -5  (b) -0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 2) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3891880403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b**3\/3 + 2875928*b**2\/3 - 494570864*b\/3 + 21265275040\/3 = 0. Calculate b.\nAnswer: 86, 718810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-2 + ((-4*sqrt(192))\/sqrt(8)*1)\/(-3*(2*sqrt(108) + sqrt(108)))))**2.\nAnswer: -64*sqrt(2)\/3 + 11792\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 44*z + 14. Let p be w(28). Let i = -835 + p. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15.53654 milligrams to grams.\nAnswer: 0.01553654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - 223*s + 1133. Calculate i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 261*j**3 + 4*j**4 - 261*j**3 + (-2*j**2 + 2*j**2 + 3*j**2)*(9*j - 9*j - 20*j**2).\nAnswer: -56*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 174, 411, 722, 1095?\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2077 = -25*z - 302. Solve 4*c + 5*v = 30, -3*v - z = c - 82 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*j - 8*j - 3*j + (-j + 3*j + 0*j)*(2 - 1 + 2))*(-2 - 1 + 1)*(-3 + 2 - 1)*(2*j - 6*j + 2*j).\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -85 less than -49?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -121370\/1193769 + 99\/1817. What is the common denominator of -44\/9 and v?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 5 - 4)*((v - 3*v + 3*v)*(-7*v + v + 3*v) + 3 - v**2 - 3 + 5*v**2 - 2*v + 2*v + v**2 - 2 + 2) to the form m + d*v**2 + x*v and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3412 - -3408. Let o = 8 + -11. Is o > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1944 is divided by 451?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 5*r + 5*t = 43, 5*t + 27 = 3*r. Suppose -x = -2 - r. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -31990400 divided by 319904\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20976 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.696121 at most -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.15, -4, 1\/3, 0.102, 3?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 18*14\/168 - 79\/2.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + 2)*8\/6. Suppose 5*u = 2*u - 5*t + 131, 0 = -f*u + 5*t + 233. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 654 divide 888786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183956 is divided by 145?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x. Let d(h) be the first derivative of -4*h**2 + h + 5. What is 2*d(z) - 18*s(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of 4*s**5\/25 - 2*s**4\/5 + 4*s**2\/5 - 4*s\/5 - 1. Factor f(v).\nAnswer: 4*(v - 1)**3*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-16128)\/240)\/(3\/20). Is -448 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((2 + -1)\/17). Let p be (-6)\/(-3)*-1*1. Let a = p + b. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -477 - -476.9852. Let b = -120.5148 - z. What is b rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 767 - 6*n - 193 - 197 - 177 - 200.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 15522 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 9:05 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwmtfmptppwwptppaawm. Give prob of picking 1 f, 1 m, and 1 w.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/4)\/(1\/12). Let t(u) = -u + 3*u + 89 + 0*u - 102. Let w be t(p). Calculate the highest common factor of 55 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wcwcwwccccwwcwdcwww. Give prob of picking 1 d, 1 w, and 2 c.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 46863540 divided by 5207060\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = t - 3*t - 5*b, 5*t + 3*b = 32. Suppose 3*m - t*m = 0. Suppose 3*v + 2*v - 50 = m. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/33, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.3  (b) 0.2  (c) -1\/3  (d) -1.846  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 12*t - 13. Determine m(5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 9, b: 2}. What is prob of picking 1 g and 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**5 - 102*q**4 - 1413*q**3 - 3240*q**2 = 0 for q.\nAnswer: -8, -3, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3737 and 2474197.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15*(44239\/65 - (1 + 0)).\nAnswer: 2, 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46065, 91985, 137893, 183783, 229649, 275485, 321285, 367043?\nAnswer: 412753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4\/3 + (-3)\/9*-512 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -117 - -289. Let k = -166 + y. Let z(i) = -2*i + 6. What is z(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000670528 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x**2\/3 - 2097*x + 6290\/3 = 0. Calculate x.\nAnswer: 1, 6290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19403 or 19401?\nAnswer: 19403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 0*v + 140 = 0. What is the units digit of (-8)\/v - (-804)\/28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-8))\/((-9)\/48). Suppose m*t + 18 = 30. What is the third derivative of 2*b**t + 4*b**3 + 2*b**3 - b**2 - 2*b**3 wrt b?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.03 or 53203\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0128007247 rounded to 6 dps?\nAnswer: -0.012801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7319\/(-2) - 9\/18. Let k = q - -29321\/8. Let f = 37\/4 - k. What is the common denominator of f and 23\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 4*b = g + 894, -2*g = 5*b - 596. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*z**3 - 201*z**3 + 105*z**3 + 25*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -406*f**2 + 322*f**3 + 204*f**2 + 202*f**2 + 68*f**3.\nAnswer: 390*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -24077, -48167, -72233, -96275?\n\"Answer: 12*x**2 - 24126*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 - -0.7. Let q = 15 - 10. Let k = q - 8. Which is the closest to 0?  (a) 0.5  (b) k  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26 - 3*t - 23 + 19)*(7*t - 4*t - 4*t).\nAnswer: 3*t**2 - 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 85 - 87. Which is the closest to d?  (a) 0  (b) 3\/10  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -33862 - 4*r**2 + 4*r**2 + 33857 + 5*r + r**3. Let l(z) be the third derivative of -z**6\/120 + z**4\/24 - z**3\/6 - z**2. Determine -g(f) + 5*l(f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from vxxxxxxxs?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -74314*13\nAnswer: -966082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 16*i**3 + i**2 + 4*i + 5. Let p(r) = -r**3 - r**2 - 1. Let h(f) = -j(f) - 2*p(f). Let x be h(-3). Suppose -7*q = -3*q - x. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2328885 by 155259.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/11)*i*i*i**(-6)*i*i)**(6\/23)\/(((i*i**(-5\/4)*i)\/((i*i**(-2\/3))\/i))\/(((i\/(i\/i**(-2))*i)\/i)\/(i*i\/(i\/i**(-4))))) assuming i is positive.\nAnswer: i**(-2993\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 28\/458783 and 133\/41080?\nAnswer: 1449754280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2962\/(-2)*(-734 + (-3)\/(-3)). Let p = x + 270820. Suppose 2*m + p = -11043607. Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 + 138*n + 3097. Give z(157).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 10107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + q = 2. Let t be (-2)\/4*(q + -6). Sort -3, -2, 8, t.\nAnswer: -3, -2, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - 39. Let o = 211 + -145. Let s = c + o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 8:07 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 9, g: 3}. Give prob of sequence ggo.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1\/(4 - 171\/43) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6*4\/(160\/24))\/(4386\/(-860))\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 208*a**2 + 41*a - 222. What is the thousands digit of k(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -10*l + 6. Let v(w) = -w - 1. Determine -8*v(r) + z(r).\nAnswer: -2*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1817 = 921*l + 42272 + 1461 + 40974 for l.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -362.067 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*m + 2*m - 3*m)*(-4*m**2 + 4*m**2 - m**2) + m**3 - 22 + 23 + 12 to the form d*m + n + i*m**2 + v*m**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -2.99088\nAnswer: -0.897264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35256*z**2 - 35260*z**2 + 70514*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 9*o - 48 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 75429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 + -1)\/1 + -5. Let t be (3\/6)\/(2\/(-40)). Let x = d - t. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38309773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 129\/(-6)*-8*11\/44. Let g = 343 - 122. Suppose -12*a + b + g = 0. Calculate the least common multiple of a and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 7:28 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.653 * 1.\nAnswer: -2.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 2*x + 3*x + 20 = 0, 2*u - 8 = -3*x. Let g be -3 - 0\/u - 12\/(-4). Solve g = 3*t + 2*r + 2*r - 4, -r = -t - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/(j*j*j*j**(-1\/3)\/j))\/j)**(10\/11))**46\/(((j\/(j**1\/j*j))\/j)\/(j\/(j**(4\/5)\/j)))**(-39) assuming j is positive.\nAnswer: j**(-25657\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -3*v**4 + 4467*v**3 - 92814*v**2 + 484944*v - 739872 = 0.\nAnswer: 3, 4, 14, 1468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/18 - (-6780)\/108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 64, 0, 3, 2.\nAnswer: 0, 2, 3, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kjjnnjj. What is prob of sequence jj?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (6\/4*44\/(-24))\/((-4)\/4)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*q**3 + 442*q**2 - 2*q + 84 wrt q.\nAnswer: 60*q + 884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 195686*n. Let v(q) = 157*q**2. Give z(v(t)).\nAnswer: 30722702*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4281434.33 - 143789.\nAnswer: -4425223.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 PM and 6:36 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -2 + -2 + (-38 - -35).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000186064 rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**2 + 3775420*v + 712689808820.\nAnswer: 5*(v + 377542)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14 and 1730604?\nAnswer: 12114228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.11305 and -30?\nAnswer: 3.3915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*a, y - 3*a = 2*y - 27. Let i = 3 + 0. What is the greatest common divisor of y and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -57 - -56.70482. Round x to three dps.\nAnswer: -0.295","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 3*d = -4, -x - 5 = 3*d - d. Let m be (-180)\/(-7) - 2\/x. Suppose -w - m = -2*u, -w - 16 = -5*w. Calculate the remainder when 28 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16684 + -2?\nAnswer: -16686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (82\/5)\/((-4)\/(-5)). Let l = 21 - d. Let t = 9.8 - 10. Which is the nearest to t?  (a) 2\/3  (b) -2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -443*u + 421*u - 12628. Are -572 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000013625409 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 0*j + 18294 = 4*j, d - 3*j - 9137 = 0. Let c = 848 + d. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -1.04  (b) 4  (c) -0.1  (d) 10  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 366412 - 23?\nAnswer: 366356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 23837010 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.622 - 0.4. Let a = -10.222 + v. What is the second smallest value in 2\/9, 4, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u + 7. Let c be i(4). Suppose c*f - d - 192 = -f, -4*f - 2*d = -204. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(143)*-1)\/(-1*sqrt(539)).\nAnswer: 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = -13*t + 350. Calculate the remainder when 83 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -15*p + 22. What is w(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4380236066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 - 7 = -k + 5*y, -32 = -3*k - 4*y. Let r = -20 + 26. Let t(s) = -7*s + r*s + k*s. Let o(h) = -h**2. Calculate o(t(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 21, 188, 367, 564, 785, 1036?\n\"Answer: k**3 + 160*k - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**2 - 6*u**2 + u**2)*(5*u**2 + 17*u - 17*u).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 63670 != 63670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5052?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3  (b) -0.5  (c) 0.2  (d) 7.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 7*o**3 + 1421*o**2 - 8781*o + 19. What is k(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from errllrosolrrrsoel. What is prob of picking 1 l, 2 s, and 1 e?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of -m**5\/360 - 17*m**4\/36 + 365*m**3\/36 + m**2 + 57*m. Solve p(j) = 0.\nAnswer: -73, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 167*k**2 + 3022*k + 474088. Give h(-166).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44 + -43.39. Let g = 0.610066 - q. Round g to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 4:19 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 181, 2, -1890, 0, 6, 3.\nAnswer: -1890, -2, 0, 2, 3, 6, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -14*p**2 - p + 5. Let d(k) = -5*k**2 + 2. Let c(s) = -11*d(s) + 4*m(s). Let b be c(-2). Factor 0 + 0*n + 2\/3*n**b + n**3 + 1\/3*n**4.\nAnswer: n**2*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 + -16. Let l be (54\/(-7))\/(b\/28). Suppose -t - 5*a = -17, -4*t + 0 + l = 4*a. Calculate the greatest common divisor of 28 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 876*u = 851*u + 300 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2*n + 45 + 15, n = 5*x + 65. Is x\/(-2*5\/100) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*c**2\/7 - 7334*c\/7 - 2748\/7.\nAnswer: -2*(c + 458)*(8*c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-24*(-13)\/208)\/(1\/(-88)). Do x and -116 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 363\/4*x**2 - 183\/2*x + 3\/4*x**3 + 0.\nAnswer: 3*x*(x - 1)*(x + 122)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/2?  (a) -2  (b) 1  (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6b533 (base 12) in base 7?\nAnswer: -1140234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -195*a - 1341\/2*a**4 - 1071*a**2 + 21\/4*a**5 + 0 - 6207\/4*a**3 = 0.\nAnswer: -1, -2\/7, 0, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1736920 divided by -2008.\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 3701654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/4199 and -28\/65.\nAnswer: 20995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-89 - (-63 - 42)) + 18?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v\/(v**8\/v)*v*v**8*v\/(v\/((v*v**(-2\/5))\/v))*v**(-6) assuming v is positive.\nAnswer: v**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 748 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 65*y**2 + 2 - 7.\nAnswer: -65*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5649014 a multiple of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -12*q - 10. Let d(i) = -i**2 + 9*i - 14. Suppose 3*v = h + 4 + 16, -3*h + 20 = v. Let o be d(v). List the prime factors of s(o).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((1 + sqrt(325) + sqrt(325) + 5 + (1*sqrt(325) - sqrt(325)) + 5 + 1)*6 + 4))**2 + -3.\nAnswer: 9120*sqrt(13) + 52573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 101 = -3. Let y be (2 + -4 + 1)*u. Suppose -4*k = 4*s - 112, 2*s - k + y - 73 = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1576629 by 50859.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 17*w + 2. Let l be r(1). Let o = -22 + l. Suppose -13 + 17 = -v. Which is the smallest value?  (a) o  (b) -0.4  (c) -2\/3  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (96*v**2 - 377*v**2 - 149*v**2)*(0*v - 3*v + 4*v).\nAnswer: -430*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7610947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/(-24210)*(-57077)\/4. Let f = 11\/807 + o. What is the common denominator of -95\/2 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 175532 is divided by 8184?\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 6*x. Let z be v(-6). Suppose -2*k = p - 2*p - 38, z = 2*k - 5*p - 30. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -5*h**2 - 6 + h**2 - 3 + 7 - h**3 - 4*h. Calculate q(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t = 30 + 6. Is 16 a factor of (t + (-20)\/15)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 32 = 46. Suppose -2 - o = -4*n. Suppose 5*z = n - 2, -43 = -2*r + z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28580 + -15379. List the prime factors of y.\nAnswer: 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from ssssmmissssmm.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13484*x = -13488*x + 3*d + 14, 4*x + d = 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1919.07008 rounded to 0 decimal places?\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*m - 202, -3*b + 144 + 54 = -4*m. Let x(d) = 13*d + 1. Let q be x(-4). Let n = q - m. Put 4, 3, n, -5 in decreasing order.\nAnswer: 4, 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 4*y, 0 = -3*m + 3*y + 379 - 70. Let v = 26 - 50. Calculate the remainder when m is divided by ((-17)\/4)\/(3\/v).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 6:23 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 12.8 and 1.750819?\nAnswer: 11.049181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21.4 - -21. Let s = k + 0.6. Which is the biggest value?  (a) s  (b) -0.1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**7*a**(1\/5)\/a)**(-4\/23)*(a*(a*a*a*a**(-4)*a)\/a*a*a**(1\/13))**(-1\/11) assuming a is positive.\nAnswer: a**(-19342\/16445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -41, -367, -1247, -2957, -5773?\n\"Answer: -46*z**3 - z**2 - z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o + 3*o + 2952 = 0. Let p(q) = q**3 + 11*q**2 + 10*q + 41. Let v be p(-10). What is the greatest common factor of o and v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*j + 15 = o - 71*j, o + 3 = -j. Solve o = -151*q + 146*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r - 14 + 14)*(5*r + 6*r - 8*r) + 23*r + 4 - 23*r + 2*r**2 to y*r**2 + x + o*r and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4\/4 + 22*h**3 + 484*h**2.\nAnswer: h**2*(h + 44)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2494*d - 212*d - 568*d to the form x + y*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22735 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/24*(-8)\/30*10\/24.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/1440*15)\/((180\/176)\/(-15))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -2  (b) -1  (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d - 12. Let j be o(-6). Let f(w) = -7*w + 7. Let k(r) = -15*r - 69. Let h(v) = -30*v - 152. Let c(n) = 6*h(n) - 13*k(n). Determine j*c(s) - 13*f(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1691518 and 3454?\nAnswer: 18606698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -114 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of p**3\/2 - p + 3. Let b(z) = -27*z + 12. Let a(r) = -11*r + 5. Let f(j) = -12*a(j) + 5*b(j). What is f(g(q))?\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 42458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4889829, 9779663, 14669495, 19559325?\n\"Answer: -o**2 + 4889837*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of -j**8\/336 + 4*j**7\/315 - 7*j**6\/360 + j**5\/90 + 22*j**2 + 40. Let m(g) be the second derivative of f(g). Factor m(w).\nAnswer: -w**2*(w - 1)**2*(3*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3429119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of s**5\/15 - 7*s**4\/24 - 2*s**3\/3 - 1302*s**2. Let b(g) = -5*g**2 + 8*g + 5. Calculate 6*b(v) + 7*r(v).\nAnswer: -2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*p = -4532 + 5312 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -4*q + n + 4*n, 0 = -q + 2*n + 21. Suppose -4*p + 2*p = 3*z - 16, 5*p - 13 = -3*z. What is the highest common factor of z and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*h - 14*h - 24*h + 49*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 925 divide 414727450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 + 2)*(2 + 10*b - 2) - b - b + b + (-4*b + 4*b + 3*b)*(0 + 3 - 2).\nAnswer: 52*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 510993720 rounded to the nearest 10000?\nAnswer: 510990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 171 and 131.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 55081748261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 6*b + 1 - 4*b)*(15002*b - 15002*b + 842*b**3) as v + f*b**3 + t*b**4 + a*b**2 + q*b and give f.\nAnswer: -3368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 10*c + 12*c - 3 - 5*c**2 + 5*c**3 to the form l*c**2 + d*c + h*c**3 + f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {s: 1, e: 1, i: 3, u: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3208 = 88*j - 92*j. Let b be j\/16 + (-3)\/24. Let z(i) = 11*i - b + 50. Let c(d) = 4*d**2. Determine c(z(w)).\nAnswer: 484*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 978 in 1, -3, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2 + 44803990*l - 268824120.\nAnswer: 5*(l - 6)*(l + 8960804)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.885, -4\/17, 35?\nAnswer: 0.885","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 - 5*x**2 - 6*x + 7. Let w be 5\/(-15)*-6 - -4. Let c be h(w). Let n(l) = l**2 - 3*l - 4. Is 5 a factor of n(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*k - 2861 + 383 = 0 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.14 + 0.14. What is the nearest to a in 4, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and 0.45.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1010867949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*n**(1\/55))*n)**(7\/3))**(4\/19) assuming n is positive.\nAnswer: n**(504\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002448 rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 5795489*v**2 - 11*v + 43. Let s be x(4). Let u = 65227823 - s. Round u to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/(15\/(-42))*3\/2. Suppose 4*v - n - 7 = 0. Suppose 3*u + 532 = v*u. List the prime factors of u.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 336 + 386 = -5*d, -4*d - 3*f = -2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -82*r + 18*r + 384. Let x(z) = z**3 - 3*z**2 - 22*z + 30. Determine x(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88 - 6*k - 214 + 9*k - 2256.\nAnswer: 3*k - 2382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/28 + (-60)\/(-14). Let y be l\/3*12\/20. Let s = 4 + -6. What is the nearest to 1 in 1\/5, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (13\/(-2))\/((-540)\/(-72))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + 5 - 3)*(-2*q + 1 - 1) - 5 - 2*q + 5)*(-2705*q - 2247*q + 5479*q)*(-4 - 5 + 6) to s + o*q**2 + i*q and give o.\nAnswer: 6324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a**4 + a + 6*a**2 - a**2 - 3*a**2 - 12 - 3*a**4 to y*a**2 + x*a**4 + t + z*a + b*a**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-9 - (8 + 3 - 5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1614, -1784, -1956, -2130, -2306, -2484?\nAnswer: -2664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -157415428 < -157415428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72*(-1687)\/(-1446)*4\/(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 - 8*b + 10. Let h(t) = -13*t - 2. Suppose -15 = 5*o + 5*u, -5*o + 6 = 3*u + 17. Let c be h(o). What is the tens digit of i(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.042 times 2451?\nAnswer: 102.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 - 9*h**2 + 9*h - 6. Suppose w - 3*f - 20 = 0, 3*w + 0*f - 16 = -2*f. Let n be i(w). Suppose 5*d = 277 - n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 274.1 + -274. Which is the closest to 2?  (a) x  (b) 3\/4  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((847\/14)\/(-11))\/(21\/(-147)*49).\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 25551970761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 - 2756*g. Let d(p) = 8376*p + 8375*p + 8370*p - 25119*p. Calculate d(k(x)).\nAnswer: -2*x**2 - 5512*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -21 divided by 21\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 7:03 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -4602*(-3 + -2) + 7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -i + 4*r, -2*i + 1961*r = 1967*r - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -104, -180, -270, -380, -516?\n\"Answer: -a**3 - a**2 - 66*a - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y**4 - 4*y**4 + 0*y**4)*(-56*y + 11*y + 2*y).\nAnswer: 43*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 95\/266*4*1\/(-5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18252 + 18256. Let v = -43 - -175\/4. What is the nearest to -1 in v, m, -7\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1114\/(-4))\/(0 + 1\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 6.361077m?\nAnswer: 0.006361077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19584 and 22135632.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 - -21. Let p = z + -1. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.39  (b) -1\/5  (c) 0.1  (d) 2  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 813662.21 to the nearest 100.\nAnswer: 813700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of a**4\/6 - a**3\/3 - a**2\/2 + 2*a. Let q be x(5). Suppose 9*r = -23 + 257. What is the greatest common divisor of q and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from unukuuzku?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1592, 1507, 1420, 1331, 1240?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1204)\/(-224) - (22\/16 + -1). Solve 0 = -n*j + 3*o + 40, 3*j = -5*o - 16 + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 2:48 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 6, 13, 28, 51, 82?\n\"Answer: 4*o**2 - 5*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 15.7, -2, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -42.14 and -3385.\nAnswer: -3427.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of 11*i**6\/6 - i**5\/10 + 61*i**2 - 64*i. Find the first derivative of d(r) wrt r.\nAnswer: 220*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 smaller than -28661975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbbbbbbbbbbbbqbbb. Give prob of picking 3 b.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 AM and 11:50 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15*j**3*u - 27412394*j**3 + 49265*j**2*u + 2*u wrt u.\nAnswer: -15*j**3 + 49265*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 + -11. Let p(n) = -12*n**2 + 4. Let w be p(h). Let o = 0 - w. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 4*h + 2. Let x(d) be the third derivative of -d**4\/24 + d**3\/6 + 3*d**2. Let l(o) = -q(o) - 3*x(o). Let z(k) = k + 4. Give -2*l(v) - 3*z(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30 - 27. Suppose -p = j*a - 12, 2*p - a + 0 = -4. Suppose 4*o + 2*i - 5*i - 109 = p, 0 = -2*i - 6. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 12692  (b) -1\/3  (c) -1.1  (d) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10762181*f**4 + 4651412*f.\nAnswer: -129146172*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*2*(2*sqrt(891) + sqrt(891)) + -5 + 0 + (sqrt(891) + -1 - sqrt(891)))*3*2.\nAnswer: -1944*sqrt(11) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4659229625 to the nearest integer?\nAnswer: 68259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 j, and 1 l when three letters picked without replacement from {w: 1, f: 2, e: 1, l: 1, n: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, 38, 3, -4 in decreasing order.\nAnswer: 38, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q**2 - 3532*q + 59. Let y(w) = -2*w. Calculate v(y(o)).\nAnswer: -8*o**2 + 7064*o + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*h - 35*h = -318 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**0*y)**(-9\/8))**(-19)*(y**(-7)\/y**0)**(29\/2) assuming y is positive.\nAnswer: y**(-235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3673 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 0.01  (b) -1  (c) -2  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-11 + (0 - -16))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 70559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 5  (b) 0.1  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -114, -105, 44, 327, 738?\n\"Answer: -c**3 + 76*c**2 - 212*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(1\/7)\/(l\/((l*(l**(-1)\/l)\/l)\/l))*(l\/((l*l**14)\/l))\/l*l**15 assuming l is positive.\nAnswer: l**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(1*sqrt(240) - 2*(sqrt(120)\/sqrt(2) + sqrt(60))))\/(1*-5*(2*sqrt(48) - sqrt(12) - sqrt(12))).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -17519 (base 10) to base 8\nAnswer: -42157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (84833\/(-2))\/((-9)\/(-18)). Let p = k + 19833. What is p rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3*a + 10 = 3*m, -4 = -2*m + 4*a. Solve -12 = -m*v - v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4\/7 - 16*n**3\/7 - 66*n**2\/7.\nAnswer: 2*n**2*(n - 11)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 112868024 and 597?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 251 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 657944722?\nAnswer: 2, 328972361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-67)\/201)\/((-2)\/(-396)*-329). Let m = 4\/47 + u. Determine w, given that 0 + 4\/7*w**3 + m*w**4 + 2\/7*w**2 + 0*w = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*k**3*p**3 - 10*k**3*p - 169*k*p**3 + 5*k*p**2 + 4*k wrt p?\nAnswer: 30*k**3 - 1014*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.4 - -1.9. Let y = 502\/5 - 100. What is the closest to y in -4, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 209 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 819 + -813. Solve -3*l - 3 = q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/60 - 7\/(-35)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 11:14 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(352) - sqrt(352)*-4)\/sqrt(8))\/sqrt(4) + -1*sqrt(396) + 5)*1.\nAnswer: -sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, p: 3, l: 2, w: 8}. What is prob of sequence iw?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0478 + -2.0478. Sort -5, m, -0.2, 34 in descending order.\nAnswer: 34, -0.2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1559.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9780*t - 9765*t - 105. Solve 2*g + 3 = x, -15*g + 10*g - t = -3*x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*z + 83 = -197 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 7, e: 1, h: 2, b: 2, p: 8}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -28691647  (b) 1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.704454ml to litres.\nAnswer: 0.003704454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 113099 a multiple of 749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 4*k**2 + 162. What is the units digit of q(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/1766184 and 5\/220773.\nAnswer: 1766184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -715, -713, -711, -709?\n\"Answer: 2*z - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that a**3\/7 - 39826*a**2\/7 + 79649*a\/7 - 39824\/7 = 0.\nAnswer: 1, 39824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4320)\/(-900)*(-5)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 1142 = 5*o. Let f = -545 + o. Let a = -135 - f. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*s - 69 = -258 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.1 - 5. Which is smaller: o or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - -1)\/(28\/16). Which is the nearest to 1?  (a) 0  (b) -3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.69 and -2.83620957?\nAnswer: 4.52620957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.2?  (a) -4\/7  (b) 0.02  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 52208 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: Round 0.000008077 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -p**6\/360 - 3*p**5\/40 - p**4\/8 + p**3\/3 + 4. Let n(r) be the third derivative of s(r). What is the tens digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -2*i - 20. Let s = i - -6. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 - 3*p**2 - 65*p + 263. Let d be s(7). Solve -34 = d*n - 5*t - 1, -3*n - 17 = 4*t for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.7 + -10.7. Suppose -142*q + 48 = -130*q. Which is the third smallest value?  (a) q  (b) -0.5  (c) -3  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1248745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 70*k**2 + 2*k**4 + 8*k**3 + 2*k + 3*k**4 - 6*k**3 - 71*k**2 to the form q*k**3 + b + w*k + z*k**4 + x*k**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 10:14 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -164631936*h**3 + 3*h**2 + 38436*h - 5 wrt h.\nAnswer: -987791616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -y + 46, -5*y + 9*s + 250 = 8*s. Let g be 22 + -1 + -52 + y. Solve -5*i - 3*c + 2*c = g, -5*i = -c + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 644?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*t - 49 - 8 = 0. Suppose -1 + 10 = t*c. Suppose -5*d + 1778 = -c*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*v**3 + 154*v**3 - 45*v**3 - 51*v**3 + 10*v**2.\nAnswer: v**3 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of y**6\/60 + y**5\/60 - y**4\/24 + y**3\/6 - 4*y**2. Calculate k(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -16*d**2 - 2*d + 2. Let r(y) be the first derivative of 31*y**3\/3 + 5*y**2\/2 - 5*y + 10771. What is 10*l(b) + 4*r(b)?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3612)\/86*(-1)\/(((-36)\/(-3))\/(-4))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.16  (b) -13  (c) 0.1  (d) -2  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 + -12. Suppose f*s = 4*p - 4 + 8, 4*s + p = 14. Suppose 0 = -s*j + h - 2*h + 8586, -4*h - 11464 = -4*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 161 + -124. Calculate the greatest common divisor of 333 and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - -1 - 2) + (33 - -5). Let f(v) = 27*v + 0*v + h + 4*v. What is the units digit of f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4940251 is divided by 10165?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2219 - 2206. Which is bigger: y or -17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 3290.\nAnswer: -3\/3290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 h, and 1 c when three letters picked without replacement from {h: 4, a: 4, y: 1, t: 2, c: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2100 + 2100011?\nAnswer: 2020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -4 + 2 + 4 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -198*w + 378 - 180 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/379 in 0.4, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 87279326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(-7)*1\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 4 = 4*h. What is the third derivative of -2*a**5 + 8*a**h + a**5 - a**5 + 3*a**5 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**5*v)\/(v\/v**8))**(-5\/7)\/((v**(-1))**(-2\/7)\/((v\/v**(-4\/5)*v)\/v**9)) assuming v is positive.\nAnswer: v**(-577\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22*a**2*x**2 - 546*a**2 + 426*a - 15095*x**2 - 2 with respect to x.\nAnswer: -44*a**2*x - 30190*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 21*u**2 - 13*u - 191. Calculate d(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 258579 divided by 55\nAnswer: 258579\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, h: 2, s: 2, z: 2}. Give prob of sequence hh.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -f**3 - 1 - 3 + 3 + 0 - 7*f as g*f + j + n*f**2 + d*f**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i*i**(-2)*i)\/i*i**(-2\/3)*(i*i**(1\/3))**22)\/((i\/((i**4*i)\/i)*i)\/i**(-7)*i**(-1\/11)\/(i**(-5)\/i)) assuming i is positive.\nAnswer: i**(586\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (27210\/907)\/(6\/2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + l = l - 39093*b + 39092*b + 25, 4*l - 9*b = -230 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(3*sqrt(242) + 2) - (5 + 1*sqrt(98) + 4)**2)*3.\nAnswer: -477*sqrt(2) - 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from -215.65095.\nAnswer: -215.55095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-1)*g*g\/g**(-6))**(-45)*((g\/g**(2\/23))\/(g\/(g*g**5)*g))\/(g*g**(1\/4)*g)**(-39) assuming g is positive.\nAnswer: g**(-24595\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8275 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 134 + -23?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 33 = -y, 18668*y - 18673*y + 155 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -226375 - -6.07?\nAnswer: -226368.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -186936660 by 23130.\nAnswer: -8082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (30000\/9)\/(1\/1530). What is m rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 7*z = -a - 62, -3*a - 58 = -4*z. Suppose 4*v - 175 = -5*u + 2*v, -3*u = 3*v - 96. Let j = u - z. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -59 - 255. Let q = 579 + d. Suppose 5*c + 2*u = q, -5*u + 5 = -4*u. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44553.\nAnswer: 3, 14851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (78\/(-3))\/(1*6\/(-105)). Suppose -2*v - j = 2*v - 142, 0 = -5*v - j + 177. Calculate the greatest common factor of m and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7399973 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1997 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21?  (a) -2  (b) 4\/9  (c) 0  (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 120 - 8*j + 107 - 234 to the form r*j + h and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (46 + 42 - 87)*((0 + 0 + 2*l)*(-4 + 3 + 2) - 1 + l + 1) to m*l + k and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12.44 - 4.03. Let x = -2.83 + l. Round x to zero dps.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -43, -44, -45, -46?\n\"Answer: -v - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85705 = -8513*k + 63116 + 559953 - 2195 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*v**2*x*z**3 + 9*v**2*z**2 + 359*x*z**3 + 2*x*z**2 - 265*z**2 wrt z?\nAnswer: 36*v**2*x + 2154*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -3  (b) 2\/13  (c) -6  (d) 335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 10 = 2*r. What is the second derivative of -2*d**r - 3*d + 0*d**5 - d**4 + d**4 wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1921925 times 0.06\nAnswer: -0.01153155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 97 - 17. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -33*w**3 + w**2 - 8*w + 5. Let b be s(-6). Suppose b = 4*z + 1749. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -0*t - 5*t - 2*u, -u = -4*t + 19. Let m = 19 + -27. Let k(i) = -2*i - 2. Calculate the remainder when k(m) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-2) - (-2)\/12)*(-432)\/(-5760).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8127208 divided by -124?\nAnswer: -65542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xnanaqanvv. What is prob of sequence qa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 25 = -9*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-63 + 61)\/((-3)\/(-12)). Let o(w) = -w**2 + 16*w - 58. Let d be o(6). Let s = -2 - -2. Put -2, s, d, x in descending order.\nAnswer: d, s, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 38728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p - 2. Suppose 7*n = 1 + 13. Determine z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1241, 1248, 1259, 1274, 1293, 1316, 1343?\nAnswer: 1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 28 = -4*m - i, -4*i + 16 = 0. Differentiate 30 + 2*g**4 - 24 - 11*g**4 - m*g**4 wrt g.\nAnswer: -84*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g + 24. Let k be r(6). Solve 2*p + 4*h + k = 6*p, 5*p + h - 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14564\/27507 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -793 = -173*m + 1009 - 72. Let q(y) be the third derivative of 0*y - m*y**2 - 1\/2*y**5 + 0 - 7\/2*y**3 + 0*y**4. Differentiate q(o) with respect to o.\nAnswer: -60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36800 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 12315243 (base 6) in base 11?\nAnswer: 2528a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 37\/1665*-18*(-1)\/(-1)*-265.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/131906 and 16\/909?\nAnswer: 1187154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1\/17, -2, -11, -4, -5\/3, 0.18?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 111*p**2 - 664*p - 6. What is the smallest common multiple of f(6) and 92?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x = 6*x + 65*x. Sort -58, 9, 4, x.\nAnswer: -58, x, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/28 - (-80)\/14. Let n(i) = 5*i - 29. Let q(d) = -2*d + 15. Let v(l) = 3*n(l) + 5*q(l). Is v(s) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17620*d + 7425 = -17917*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -283121711.62 and 4.\nAnswer: -283121707.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v**2 - 3 + 3)*(0*v**2 - 4*v**2 + 2*v**2) + 2*v**2 + v**4 - 2*v**2 + (-2*v**3 - 2*v**3 + 2*v**3)*(v + 0 + 0) + 16*v**4 - 4*v**4 + 46 - 48.\nAnswer: 21*v**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1451*j**2 - 212*j - 171*j - 1450*j + 173*j wrt j.\nAnswer: -2902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12 + -2a9343b?\nAnswer: -2a93429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -565 or -570?\nAnswer: -565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -156\/11*x**3 - 158\/11*x**2 - 64\/11*x - 8\/11 - 54\/11*x**4 = 0.\nAnswer: -1, -2\/3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 4403*t**2 + 2*t**3 + 6*t + 4403*t**2 to m*t**3 + j*t**2 + l*t + i and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 - -208. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19576*f - 18336*f - 47971 = 28909 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-20)\/(-4) + -3 + -1. Let b(m) = 1. Let l(o) = -459999*o - 5. Let p(i) = -4*b(i) - l(i). Let h be p(s). Round h to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 15 = 4*v. Suppose -v = -4*i - i. Let b = -3 + 6. Solve -b*w + i = -0*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 9*g**2 + 11*g + 17. Let t(s) = -3*s**2 - 4*s - 6. Suppose 5*j - b + 9 = 3*j, -4*b + 16 = -3*j. Determine j*w(l) - 11*t(l).\nAnswer: -3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2125756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7100, 14053, 21002, 27941, 34864, 41765?\n\"Answer: -l**3 + 4*l**2 + 6948*l + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 4 = -4*n. Which is the nearest to -1?  (a) -19  (b) n  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-5*(0 + 2*sqrt(637) + 2 + 1)*1*-5 + 5)**2.\nAnswer: 217000*sqrt(13) + 6394025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2. Let y(n) = -34*n**2. Give y(o(f)).\nAnswer: -34*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 3269?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3*q**3 + 7*q**2 - 9*q + 7. Let x(b) = 2*b**3 + 3*b**2 - 4*b + 5. Let i(d) = -d**2 + d. Let s(a) = -2*i(a) + x(a). Give -5*m(l) + 7*s(l).\nAnswer: -l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22 - 40 - 3*z - 13 + 2*z to d + n*z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.1  (b) 2  (c) 2\/7  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of -3*a**3\/2 + 9*a**2\/2 + 10*a. List the prime factors of r(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 667 and -2.\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-3)*(-26 - 2793\/(-105))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1, -0.4, 0.2, 16, -195\/15676, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 8*p = -18*p - 40, 4*q - 2*p + 5*p = 3 - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) + (2 + sqrt(1088))*-5 + 1)**2.\nAnswer: 576*sqrt(17) + 17489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 - -1.5. Suppose -5*h - 3*x - 272 = -347, -2*h - 4*x = -44. Sort h, 0.3, 0.2, p in descending order.\nAnswer: h, p, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 194*o**2 - 9*o + 46. Is 4 a factor of m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39359646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-2 + (0 - -2 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**4 + 30*m**3 - 2285*m**2 + 2250*m.\nAnswer: 5*m*(m - 18)*(m - 1)*(m + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 35*s - 20*s - 13*s)*(s**2 - 2*s**2 + 2*s**2).\nAnswer: 2*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 986391 and 986391 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.045 - -3.045. What is the third biggest value in 0.18, 0.3, 0, m?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p + 138 - 138.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 2.1. Let o = w - 0.9. Let b = 0.163 + 4.837. Sort o, 1\/10, b in decreasing order.\nAnswer: b, 1\/10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -13, 1, -13025, -8 in descending order.\nAnswer: 2, 1, -8, -13, -13025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 - -25. Let h = -4 - p. Let t = -29 - -29.3. What is the second smallest value in h, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (7 + -3 + -5)*208. Let o be (-6 + 75\/10)\/((-6)\/y). Is 48 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7162 is divided by 483.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c + 6. Let x(j) be the third derivative of -j**5\/60 - j**4\/24 - 5*j**3\/6 + 653*j**2. Give -3*s(n) - 4*x(n).\nAnswer: 4*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4985 (base 10) in base 14?\nAnswer: -1b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 318 - (-3)\/(-8 + 9 + 0). What is the closest to -0.1 in -3\/7, f, -1\/10, 3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 238091*a**6*i**2 + 4*a**4*i**3 + 81*a**2*i**2 - i**3 + 21*i - 31 wrt a.\nAnswer: 28570920*a**3*i**2 + 96*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -3, 167, 6 in descending order.\nAnswer: 167, 6, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12803917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4\/7, -17, -0.17, 433, 5\/4 in descending order.\nAnswer: 433, 5\/4, -0.17, -4\/7, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.68 - -1.68. What is the nearest to -0.15 in -1, -41, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 33 = -m - 2*i, i = 5*m + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 252 and 1022?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35.0106 - 0.\nAnswer: 35.0106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**(-18)))\/l**(-8\/7) assuming l is positive.\nAnswer: l**(134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1065491300 divided by -5\nAnswer: 213098260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*s**3 + 23*s**3 - 54*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4*(-8 + 162\/24). What is the second derivative of 83*d**4 - 3*d + b + 90*d**4 + 2*d - d wrt d?\nAnswer: 2076*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 0*h - 2*h + 7*h - 2*h. Let a(d) = 3*d. Give -4*a(o) + 3*i(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of 7504*u**3\/3 - 851*u - 8772. What is the derivative of p(y) wrt y?\nAnswer: 15008*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/(-2) + (((-9)\/(-12))\/((-183)\/(-6527)) - 29)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4905)\/(-6)*(0 + 8). What is the common denominator of 3 - (-3 - (-218)\/36) and ((-1)\/(-24))\/(45\/v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1376  (b) -562  (c) -0.3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4518 and 4708258?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -271069, -542134, -813207, -1084294, -1355401, -1626534, -1897699?\n\"Answer: -k**3 + 2*k**2 - 271064*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3984 - 3973. What is the nearest to h in 6, -5, 2, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(3\/7)*q*(q\/(q\/(q*q**3)))\/q*q\/q**(-5)*q**(-1))**(1\/4) assuming q is positive.\nAnswer: q**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/230934 and 139\/198.\nAnswer: 692802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*(b*b**(3\/8))\/b*b)\/b)\/b*b*b**(-5))**(1\/9) assuming b is positive.\nAnswer: b**(-29\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -16\/9?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/9 - 14990*y\/9 + 1413776\/3.\nAnswer: -2*(y - 273)*(y + 7768)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 7989700 to the nearest 100000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4863 + 4865. Solve 42*m + 3*j = 45*m, j = y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -120 - 197. Which is smaller: f or -316?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1669*-0.021\nAnswer: 35.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 plus 1505?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) 9546.9  (c) 2  (d) 0.2  (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 0.1  (c) -45753\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -13c (base 16) to base 14\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -422 + 753. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/5128 and -57\/11702096.\nAnswer: 11702096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 - 4 = -14*s. Suppose 0 = -5*q - 5*l + 235, 2*l = -q - s*q + 192. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -58bba + 2c?\nAnswer: -58b8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 646 + -460. Let v be (-1)\/(-3) + 10\/(-30). Suppose v = 7*k - k - r. Calculate the remainder when k is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100591878715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + f**2 + f. Let l(u) = 3*u**3 - 16*u**2 + 17*u + 2. Let o(g) = -l(g) - 5*q(g). What is the least common multiple of 16 and o(2)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -19317.0585 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001111011101 (base 2) to base 15.\nAnswer: 2ac1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 5, 1, -15, -49, -107?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2. Let w(h) = -608*h + 1444. Let v(n) = -347*n + 722. Let p(f) = 7*v(f) - 4*w(f). Calculate m(p(u)).\nAnswer: -9*u**2 + 4332*u - 521284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3425600 (base 10) to base 5.\nAnswer: -1334104400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -79 + (-6 - (11 - 16) - 4).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -241.918 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 304844 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 446 is divided by 222.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 8467456332 to the power of 1\/2, to the nearest integer?\nAnswer: 92019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000033316 to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 28 = 5*v. Let f(i) = -5*i - 15. Let m be f(v). What is the remainder when (12\/(-8))\/((-2)\/m) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17620.\nAnswer: 2, 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 635 = 5*x, x = 5*x + w - 508. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 + 63 = 41*k. Suppose -4*p = -l + 617, -k*l - 5*p - 1234 = -5*l. What are the prime factors of l?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*m = -70*m - 522 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 9 = -k, -2*k = -w - 3*w + 2. Suppose -f - 5*t - 3199975 = 0, 5*f - w*f = -5*t - 9599975. Round f to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55721417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + 7*h**2 - 6*h + 2. Determine y(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and -5033.\nAnswer: 503.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11008 and 2624?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52280504 is divided by 217.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(((-2505)\/1336)\/((-6)\/40))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 132064434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/u**(-3\/4)*u)\/(u\/u**(-8)*u))\/(u*u**(-2\/3))**(-30) assuming u is positive.\nAnswer: u**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7176 and 1794?\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 41693 - -27880. Suppose -3*p + i = -10989. Is (62\/(-15) - -4) + p\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*12\/39312*28?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 8*s**2 - 3. Let j be z(2). Let h = j - 35. Let v be (-4)\/h*(-3)\/(-2). Calculate the highest common divisor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, m: 10}. Give prob of sequence mxx.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -12) + 45 + -54 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of q**2 + 16*q - 1. Let w be u(-6). Let k(s) = 0 + 3*s - 3 - s**2 + 4*s**2 - s**3. Determine k(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 500 is divided by 159?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - (2 + -1)*-62. Let g be ((-1566)\/84 + 2\/14)*-2. Let j = n - g. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -475*l**3 + 13560*l**2 - 23966678*l?\nAnswer: -2850*l + 27120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 2*h = -2*h - 24, -4*q + h + 21 = 0. Suppose -4*r = -2*r - q. Which is the second biggest value?  (a) r  (b) 5  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - 0)*(-5)\/15. Suppose r = t - h + 5 - 23, 5*t + h = 60. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}