diff --git "a/data/dm_maths/full_data/2320_11255.jsonl" "b/data/dm_maths/full_data/2320_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2320_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the eighth root of 2849748550 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/21*2\/12*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 + 7*q**3 - 25*q + 35*q.\nAnswer: 10*q**3 + 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000152654 rounded to seven dps?\nAnswer: -0.0001527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65\/4*j + 1\/2 - 67\/4*j**2.\nAnswer: -(j + 1)*(67*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + -32 - 7) + 35 + -27?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvrrga. Give prob of picking 2 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 79*t - 7. Let p(w) = -12*w**2 + 392*w - 38. Give -2*p(f) + 11*s(f).\nAnswer: 2*f**2 + 85*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -7*z**4\/3 - 66*z**3 + 445*z**2\/3 + 872*z + 660 = 0.\nAnswer: -30, -2, -1, 33\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5269108 to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 2*q**2 + 0*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.25 - 1.65. Let q = y + 8. What is q rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -324 in 3, 4, -2, 0.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(1599\/26)*12*1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 14 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 441 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - (3 + 3))*(-8)\/(128\/(-60)). Let d be -4 + (-8)\/(40\/(-45)). Solve -o - z + y = -3*z, -5*z = d*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64, -477, -1246, -2371, -3852, -5689?\n\"Answer: -178*y**2 + 121*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-76))\/(-12*4\/(-384))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 10358.56?\nAnswer: -10358.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*b + 46, 5*q - 23 = 2*q - 4*b. Let a = 49 - q. Calculate the common denominator of 41\/8 and (-1874)\/(-252) + (-8)\/a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 609.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401083 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((101 - 118) + (14 - 0) - -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Let i(o) = 2*o**2 - o - 7. Let u be i(n). What is the greatest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-15)*(-3 - 0). Solve -5*i + u = -m*i - 11, -u - 1 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 198.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16330266 (base 7) to base 10\nAnswer: 1587207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 12*z**2 + 15*z + 6. Suppose -r = -15 + 4. What is the units digit of l(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155001453 to the power of 1\/2, to the nearest integer?\nAnswer: 12450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.52491 and -2893.\nAnswer: -2895.52491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48)\/(1 + (-4)\/12). Let u be 9\/w - (-3)\/24. Solve m + m + 2*n - 6 = u, 5*n = -m + 23 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*z**4 + 7*z**5 + 14*z**4 - 7*z**5 - 14*z - 2*z**2 + 14*z + (-5 + 2 + 1)*(3*z**4 - z**5 - 3*z**4).\nAnswer: 2*z**5 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203908 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -29. Let i = -6 - -6. Let u = 0 + i. Which is the nearest to f? (a) 2\/3 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1342, -416, 133 in increasing order.\nAnswer: -416, 133, 1342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10230)\/(-3894))\/(-31)*(4\/10)\/(-2)?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 54 = 2*u + 52, 2 = 5*g + 2*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*d - 69, 2*i + 15 = 4*d + 51. Let c(v) = v**3 - 15*v**2 - 15*v - 22. Give c(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 26 + (12 - 22).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -7*x**3\/3 - 5*x**2\/2 - 10*x + 13. Let v(w) = 8*w**2 + 6*w + 12. Let r(q) = 6*b(q) + 5*v(q). Let m(z) = -19*z. Give r(m(d)).\nAnswer: -722*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l - 4. Let g be s(-4). Suppose 3*z - z - 32 = -2*o, -5*z + g = o. Solve 3*f = 4*c + 3 + 6, -o = -4*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.3987 millennia to months.\nAnswer: 952784.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejj when three letters picked without replacement from {e: 9, j: 9}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14*252\/(-135). Let d(k) = k**2 + 6*k + 7. Let x be d(-2). Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 289.4757716 - -40.8227814. Let l = q - 330.3. What is l rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2 (c) -58\/53 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c - 11*c - 20 + 31*c + 25 - 13*c.\nAnswer: -11*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -70. Let b(n) = n**3 + 5*n**2 - 9*n + 5. Calculate the remainder when b(-5) is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.02 - 21.9. Let l = y - 0.12. Let o = l + -7. Sort o, -0.3, 2 in descending order.\nAnswer: 2, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29\/3 - 9. Let y be -1 + -8 + 5680\/(-640). Let m = 73\/4 + y. Which is the closest to 0.1? (a) 2 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 3574890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ca11b + 49?\nAnswer: ca166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023923 to the power of 1\/2, to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12265 + -1?\nAnswer: -12266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 233, -4, 2 in increasing order.\nAnswer: -5, -4, 2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72\/2 + 13 + -13?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1372)*1 - sqrt(1372)) + sqrt(1372) + (4*(sqrt(224) + sqrt(224) + sqrt(224)*1 + sqrt(224)) + sqrt(224))\/sqrt(8))*-6.\nAnswer: -288*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from {w: 1, r: 2, e: 2, i: 2, x: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.77 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -w + 2, i + w = 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 3795 + 669. Is -558 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8407, -17149, -25891, -34633, -43375?\n\"Answer: -8742*a + 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41226947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (-2 - 50\/(-18))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30, 2165 in descending order.\nAnswer: 2165, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 5*r**2 - 5*r + 7. Let n be q(-6). Let f = -790 + 809. Let i = f + n. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6880910?\nAnswer: 2, 5, 23, 29917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = -18*z + 66 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**11*t\/(t\/(t\/(t**8*t))))\/(((t**8\/t)\/t)\/((t\/((t*t*t*t\/t**(6\/5))\/t))\/t)) assuming t is positive.\nAnswer: t**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 8, 1\/50, 5, -105 in descending order.\nAnswer: 109, 8, 5, 1\/50, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 67, 4, 6, 105, 2 in decreasing order.\nAnswer: 105, 67, 6, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g**(3\/5)))**18\/((g\/g**(-2\/9))\/g**(-9)) assuming g is positive.\nAnswer: g**(-136\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*m**2 + 559 - 625*m - 590 + 624*m to h*m**2 + o + j*m and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494*u + 498*u - 13782 = -2*s, -u = 1. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 11*y - r - 11 = 0, 2*r = -10. Is 673275\/50 + (-1)\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d + 5. Let n be 7\/((-7)\/(-4))*(-43 + 47). Let o(s) be the first derivative of -s**2 + 16*s + 4 - 10*s**2 - 3. Give n*p(m) - 5*o(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*t - 5*s + 7, -3*s - 24 = -4*t. Let w = 178 + -172. Calculate the highest common factor of t and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 245, 246, 247, 248?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/8 - 7*u**4\/4 + 3*u**3 + u**2\/4 - 25*u\/8 + 3\/2.\nAnswer: (u - 12)*(u - 1)**3*(u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -8277241092?\nAnswer: 8277241097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16589683*a**3 + 18916440*a wrt a.\nAnswer: 99538098*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4299842 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4503 <= -4503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86852 - -87730.29. Let c = b - 874. Round c to 1 decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29 - -104630?\nAnswer: 104659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -13*d**4\/24 + 7*d**3\/3 - 9*d**2\/2 + 3. Let s(n) be the second derivative of j(n). Find the first derivative of s(a) wrt a.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1342, -4, -5, 42, -1.\nAnswer: -5, -4, -1, 42, 1342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111000 - 11110101?\nAnswer: 100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) -0.0315 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*-0.51.\nAnswer: 21.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 8*r**2 + 8*r - 4. Suppose 6*y = y + 35. Let p be t(y). Suppose h - 50 = p*m, -2*m = -h + 4*h - 95. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2\/7 (c) 100 (d) -1.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 30 = -z + 29, 0 = 2*m + z - 121. Suppose -m - 53 = 5*x. Do x and -45\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 3*l - 3. Let u be z(-3). Let c(v) = 2*v - 4. Let w be c(3). Put w, u, -2 in descending order.\nAnswer: w, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 493, 970, 1641, 2506?\nAnswer: 3565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1123*r + 1104*r + 95 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12078 - -0.5.\nAnswer: -12077.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/9))\/d*d**(-1\/2)*(d**(-2\/21)\/d)\/(d*d\/(d*d*d\/(d\/((d\/(d**(-6)*d))\/d))*d)*d*d))\/((d**0\/d)**(-18\/7))**(17\/3) assuming d is positive.\nAnswer: d**(-223\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 2)\/((-3)\/36). Let k be 0 + y\/21 + 3. What is the second biggest value in 0.4, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**2 + 772*m + 4488 = 0. What is m?\nAnswer: -187, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 divided by 1303.\nAnswer: 177\/1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 85252 = -3*w + 20693, -g = 4*w - 141298. Is 74 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -20475?\nAnswer: 20477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15680)\/4480*((-2)\/(-1) + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*z = -6*z + 28, z = 7. Solve 8*y = -p + 7*y + 10, 3*p - 3*y = v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 5)*(-101*h**2 + 20*h**2 + 3*h**2) + 7 + 45*h**2 - 9 + 4 to the form v*h**2 + m*h + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 3842?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 578*k + 1. Let b(j) = -j. Give b(f(d)).\nAnswer: -d**2 - 578*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 3*h + 1127 + 5*h**2 + h**3 - 1122 + 2*h. Calculate z(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -259 + 318*w**5 + 522 - 263 + (3*w**4 - w**4 - 3*w**4)*(3*w + w - 3*w).\nAnswer: 317*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17 - 15)\/(2\/63)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:46 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -279, -334, -463, -690, -1039?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 4. Suppose 0 = -8*u + 14*u - 2*r, 0 = -5*r - 15. Let x(m) = -2*m - 3. Let g(o) = o + 1. Give f*x(q) + u*g(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 + 8382*w**2 - 1644411*w - 1652790 = 0.\nAnswer: -2978, -1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v + 4*v**5 - v + 6*v wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(0 - (-6)\/(-8)). Let k be (16\/(-10))\/(z\/(-15)). Suppose -g + 6 = k. Solve -a + g*a = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18083)\/1498 + (-300)\/(-24).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 4*z - 4. Let k be b(-8). Let h = -67 + k. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b8ab (base 12) to base 14.\nAnswer: -10d47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.032 + 3.332. Let c = b - 3.7. What is the closest to -0.1 in 3, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9498107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21541039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2738)\/(-333) - 1*8.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19333090*s**3 + 45*s - 125955 wrt s?\nAnswer: 115998540*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144678194*d**2 - 144678053*d**2 + 289356121*d**2.\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(((-35)\/(117600\/(-48)))\/(20\/14)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91935 rounded to 2 dps?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 6. Let j be w(0). What is the tens digit of (-117)\/6*(-8)\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 543, 1130, 289, -3468, -11629, -25682?\nAnswer: -47115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 8. Suppose -4 = -4*j, 332 = 6*p - 2*p + 4*j. Let r = -88 + p. Let s(i) = -i**2 + 7. Determine r*s(g) - 5*x(g).\nAnswer: g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 856515 is divided by 284974.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9328.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - s + 0 = -83, 4*c + 5*s - 337 = 0. Let i = c - -11. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22139 is divided by 375?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**15\/(b*b**(-10))*b**(4\/7)*b\/(b*b\/b**5*b) assuming b is positive.\nAnswer: b**(193\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*s + 6*s + 4 - 4.\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103090 and 1274290?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683 = -4*k + 4*d + 963, 138 = 2*k - 4*d. What is the highest common factor of k and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -5*r**3\/9 + 55*r**2 + 345*r + 3025. Factor g(u).\nAnswer: -5*(u - 69)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 6, a: 1, c: 2, k: 3}. What is prob of sequence clfk?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)\/a)**(-5\/7))**42\/((a**(-5)*a**(-1\/8)*a)\/(a**2*a*a**(-1\/3))) assuming a is positive.\nAnswer: a**(1063\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13508)\/90*(-6)\/4. Let s = -225 + u. Determine x, given that 0*x**2 + s*x**4 + 0*x + 0 - 2\/15*x**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 = 1, 4*h + 5*o - 530 = 0. What is the highest common factor of 54 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8114*b**3 + 8115*b**3 + 630 - 630.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -115\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 71*c**2 + 62*c - 969. What is the tens digit of l(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*r + 1872 = 0, -9*r + 14*r + 30 = 0. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 557 + -769. Let l = t - -211. What is the third smallest value in l, 8, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 + 19*l**2 - 161*l - 1397. Give y(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 30 = -4*n + 14, -39 = -3*n + 5*b. Suppose z + 4*t + 47 = 2*z, -2*z + 2*t + 70 = 0. Calculate the remainder when z is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/6 - 5)\/((-117)\/(-156)*(-174)\/(-9))\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -w + 8, -12 = 2*i - 3*w - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*f*r**2*z - 2*f*r*z - 13*f*r - 2*r**2*z - 4091 with respect to f.\nAnswer: 28*r**2*z - 2*r*z - 13*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41303, -94266, -147229?\n\"Answer: -52963*n + 11660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 14 = 6*w. Which is the closest to 2\/5? (a) -0.5 (b) w (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/233, 3, -3\/8 in decreasing order.\nAnswer: 3, -2\/233, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (137*1)\/((8970\/(-936))\/115*12)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15\/2 + 69\/10. Let v be (-5)\/2*20\/(-25). Suppose -v*h + 3*i + 12 = h, 4*i + 8 = -4*h. Which is the biggest value? (a) 0.2 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6873915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3830)\/9192 + 6306\/(-72) + 1?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30793 - 13327. Let i = c - 43766. Round i to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1539) + (-1 + sqrt(1539))*-3 + sqrt(1539) - 5*(sqrt(1539) + -1)) + (sqrt(114) - 4*sqrt(114)*-2)\/(sqrt(24) - sqrt(216)))**2.\nAnswer: -450*sqrt(19) + 962131\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 260777629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(3*(-4)\/(-18)). Suppose 0*u - x = 5*w + u, 18 = -4*w - 2*u. Let b be 10 + -1 + (w - -2). Which is bigger: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 3. Let g be 2*(-1 - (-105)\/(-6)). Let x = -35 - g. Let m be -7 - (x - 3)\/1. What is r(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from puxaauunuauxuu. Give prob of picking 1 u and 2 a.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 5*h - 4. Let l be o(-3). Suppose -2*x + 4*x = -l, -4*c + 255 = x. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11306 and -2.\nAnswer: 22612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let i(m) = -762*m - 44. Let w(u) = -b(u) - i(u). Is w(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g = 259*g + 109*g + 337 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-9))\/(14\/84). Suppose -5*b = -l - 28, b + l = -y*l + 16. What is the remainder when 249 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -1\/11 (c) -2 (d) 1 (e) 26 (f) 246\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3*s + 16, -16*x + 18*x = -13*x - 4*s - 60 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 370*u**5 - u**4\/4 + u**3\/6 - 583*u**2\/2 - 2342*u. Find the third derivative of p(h) wrt h.\nAnswer: 44400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2671503.\nAnswer: 3, 890501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from inznxwnqniinwnnxn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 2*m**2 - 5*m - 3. Let f be w(-3). Suppose f = 3*r - 27. Is 9 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 123\/(-3)*(-1 + 2). Let p = g + 41. Let o be p\/2 - (3 - 6). Solve -5*f = 5*x + 20, 5*x - o*x + 4*f + 14 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 0, l - 24485 = 56*x - 61*x. List the prime factors of l.\nAnswer: 5, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -101111?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-12) + 16 + 3 - (-48)\/(-13)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337\/2490 - -1\/498. Which is the closest to -0.2? (a) -6 (b) 1\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 39 = -3*m, 2*m = -5*l - 1 + 25. Let x be -1 - l*(-2)\/(-4). Let q(t) = -t**2 - 3*t + 2. Determine q(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1418, 2737, 3986, 5165?\n\"Answer: -35*d**2 + 1424*d + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 8. Let r be (-4 - -10)*1\/1. Suppose 0 = -5*m + u + 54, -u - 28 - r = -q*m. Calculate the lowest common multiple of m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in -4, -1\/9, -0.6, 0.129, 124?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 105*z**2 + 406*z - 27446. Give k(-98).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-168))\/(7\/(-2)*-29*(-12)\/1218).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3 = 7. Let c(y) = -y - 3. Let a(w) = 5*w + 16. Let g(r) = 2*a(r) + 11*c(r). Let n(l) = 3*l + 2. What is v*g(o) + n(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + o**2 + o + 6. Let s(a) = -a - 1. Let p(u) = -j(u) - 5*s(u). Let g be p(-3). Solve 4*m + 5*v + 15 = 0, 0*m - 30 = 5*m - g*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1015620 and 1420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -336 in -1\/3, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 3)\/(-135 + 131 - (-46)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 8, 5*s = 4*o + 2070 + 1574. Let x = -902 - o. Let 4\/9*y**3 - 8\/9 - 40\/9*y + 14\/9*y**x - 14\/3*y**2 = 0. Calculate y.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*n**2*s - 40*n**2*u - 2*n*s*u + 3*n*u + 4*s*u wrt s?\nAnswer: 25*n**2 - 2*n*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147.2 + 151. Let k = 8.8 - u. Which is the third biggest value? (a) k (b) 1\/5 (c) 1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 11. Let x(r) = 13*r**2 - 13*r + 7. Let g(a) = -4*a**2 + 4*a - 2. Let t = -4 + 6. Let n(z) = l*g(z) + t*x(z). Let n(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -7*m**5\/15 + m**3\/2 + m**2 - 93. Let t(z) be the first derivative of b(z). Let o(p) = -4*p. Give t(o(f)).\nAnswer: 224*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 5284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 0.5 (c) -2 (d) 2\/1862265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 8:36 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/18153?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -9. Let o = z + 5.94. Let r = o - 0.34. Is -0.1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/18 - 2\/(-9). Let z = 6 - 4. Is z + v*39\/6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15965*n**2*z**2 + 951*n**2*z - 3*n - 1634*z**2 - 3203*z wrt n?\nAnswer: 31930*z**2 + 1902*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 4) to base 3\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 11:28 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 4) + 8 - -4 - 14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**14)*s**(-1))\/((s**(-2)*s)\/s**(2\/3)))**48 assuming s is positive.\nAnswer: s**704","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -87091 minus -3424177?\nAnswer: 3337086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaafaaaf. Give prob of sequence fa.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 2*c**2 - 2*c. Let m(s) = -s**2 + 2*s + 12. Let l be 3 + (-4)\/(-12)*6. Let p be m(l). Let z(r) = -r**2 + r. What is p*z(k) - 2*o(k)?\nAnswer: 2*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.8958 rounded to one dp?\nAnswer: -59.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 355 * -960653\nAnswer: -341031815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = 3*r - 12, -2*r + 11 = -j. Let u be ((-120)\/25)\/(r\/(-10)). Let c(o) = 14*o - 37. What is the hundreds digit of c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3192)\/(-91))\/(-6) - -1*6.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m = -432 + 110 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 3*q - 2. Let n be y(-3). Let h be 4\/24*3 + 1501\/(-3318). Is n equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(-8*(-10)\/(-5600))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -7, -28, -67, -130, -223, -352?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6989*d**2 - 3 - 2*d**3 + 4*d**3 - 6776*d**2.\nAnswer: 2*d**3 + 213*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 612065130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -w - 8, 3*z + 2*w - 3*w - 12 = 0. Let f = -21 - -23. Solve 2\/7*c**z + 0 + 0*c - 2\/7*c**3 + 0*c**f = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5a8b9 (base 12) to base 5\nAnswer: 12403003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1888 + 1888 - ((3 - 8) + -1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -582*o - 8. Let d(z) = 536*z**2. Determine v(d(h)).\nAnswer: -311952*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4615380 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + n = -0*n + 23, -4*o - 45 = -n. Let c be ((-8)\/(-14) - 2)\/(o\/77). Suppose c*x = x - 243. Which is greater: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/15)\/(2\/(-3)) - -2. Let v(o) = -o + 7. Let w be v(3). Suppose -2*l + w = -0. Solve g + l = -j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -144. What are the prime factors of v?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 327697175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j, -7*y + 44 = -3*y - 4*j. Let i be -69*(-2)\/y + (-12)\/48. Differentiate 15 - i - 18 - 10*s**3 + 4*s**3 wrt s.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3959 + -1986. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5*(sqrt(1008) + 3*sqrt(1008)*-4) + (-2*sqrt(1008) + 2 - (-3 + (sqrt(1008) - sqrt(1008)*-2))))**2.\nAnswer: 6000*sqrt(7) + 2520025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 1586*i + 14436.\nAnswer: -2*(i - 9)*(i + 802)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w. Let i(r) = 0*r + 4*r + 1 - r**2 - 5*r. Calculate -i(l) + o(l).\nAnswer: -l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3422 - 7?\nAnswer: -3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 21*i**2 + 23 + (i - i - 2*i)*(-1 + 1 + 2*i) + 0*i**2 + 4*i**2 - 2*i**2.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) 4 (b) -0.5 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*a - 6*i + 20, 3*a - i - 7 = 0. Suppose 7 = -5*r + 57. Solve -3*b = -a*b + r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 1 - (-6 - (-1 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2240)\/(-800))\/(14\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 36*r**2 - 39220*r - 258649. Give t(1096).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + d + 2. Let c be z(-2). Let q(k) = k**2 - 10*k - 22. Let o be q(12). Suppose 6*r + o + 10 = 0. Sort r, 4, c in descending order.\nAnswer: 4, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 718191, 718177, 718163, 718149, 718135, 718121?\n\"Answer: -14*b + 718205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 301817415 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**3\/3 + 69*z - 9. Is u(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -1)\/(-2 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -4, -2\/3, -0.5, -12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + -61017?\nAnswer: -60755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 20 = -12*x. Suppose -2*a - 33 = -9*g + 4*g, g + a - 1 = 0. Suppose -2*l = -4*h - 22, 5*h + 16 + 10 = 2*l. Put x, g, l in descending order.\nAnswer: g, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 = 3838*k - 3835*k, 0 = 3*k - 3*y - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*x + 34*x - 6. What are the prime factors of (3\/(x\/(-2)))\/((-21)\/105)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 17 = 2*x, -y - 2*x = -3*y - 38. Calculate the common denominator of 39\/70 and 46\/7 - y\/21.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4364245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(d - 1 + 1) + 16*d - 15*d + 11*d + (1 + 1 + 0)*(2*d - d - 2*d))*(2*d + 2*d - 5*d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*d - 10 = 0, c + 2*d + 3 - 11 = 0. Suppose 0*t + 3*t + v - 25 = 0, -5*v = c*t - 37. Calculate the greatest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/10 - (-270)\/150. Find the third derivative of 2*a**3 - 7 + 6694*a**2 - 2*a**3 - 6682*a**l + 135*a**5 wrt a.\nAnswer: 8100*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 966 and 3174?\nAnswer: 22218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(t + 3*t - 6*t) + (4 - 5 + 2)*(-28 + 38 - 36)*(22*t - 5*t - 13*t) + 3*t - 2*t + t.\nAnswer: -98*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 103.\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 = -2*h + 7, 0 = -5*h - y + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25839 is divided by 24984.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 + 3.2. Let p = -3 - -1. Let m = d - p. What is the closest to 1\/2 in m, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, 605, 1539, 2645, 3929, 5397, 7055?\nAnswer: 8909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buo when three letters picked without replacement from bbubbboobxabubaxobub?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -201847 minus 0.022392?\nAnswer: -201847.022392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -24 (b) -0.5 (c) -8 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 36*b**2 + 258*b - 7. Let u be x(-26). Calculate the greatest common divisor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u. Let t(c) = -2*c**3 - 4*c**2 - 6*c - 3. Let j(p) = i(p) + t(p). Let a be j(-6). Suppose -a = -4*s - 3. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 3*y + 3095*y**2 - 3099*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 32*k - 618. Calculate j(17).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*k**2 + 21174 + 18665 + 47*k**2 - 39839.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-42875)\/(-4116))\/((35\/(-4))\/(-7))\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - 0)\/(2\/(-4)). Suppose -2*b + 4*b - g = 0. Suppose b*p + 3998 = -z - z, -3999 = 4*p + z. What is p rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -14. Let s = g - 3. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1364 - 98 + 146)*(-2*d**3 + 3 - 3)*(2 + 2*d - 2).\nAnswer: 5264*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/((-21)\/(-6)) + 802. Suppose 0*h - v = -h. Suppose -2*s = -4*s - h. What is s rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-197\nAnswer: -985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/154800 and -93\/2200?\nAnswer: 1702800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043990*n - 6104 = -1044208*n for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 48, -5, -4, 5628 in ascending order.\nAnswer: -5, -4, 22, 48, 5628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 452*z - 2729. Calculate h(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95073892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-3*2 + ((sqrt(13) + 4)**2 - sqrt(13))*1.\nAnswer: sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from nntvvnv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -134 and 2172441?\nAnswer: 2172575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 6*u**2 - 5*u + 47. Let x be p(8). Suppose -x = 20*n - 25*n. What is the remainder when 160 is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/8 + i\/2 - 357\/8 = 0.\nAnswer: -21, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**3\/3 - 26*v. Let h(j) = -j. Suppose 3*t + 1 = x, 0 = 5*x - t + 5*t - 24. Let o = 15 - 9. What is o*h(l) + x*y(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 27*d = 309, 0 = o - 3*d - 11 + 48 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 67.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22773\/10 - -2274. Which is smaller: -3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6232446.\nAnswer: 2, 3, 11, 31477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 11*y**5\/60 + y**4\/24 + 10*y**2. Is i(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*117480312.\nAnswer: 35244093.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -63369 smaller than -63380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-14))\/(18\/(-63)). Let u(y) be the third derivative of -r*y**2 + 2\/15*y**5 + y**3 + 0 + 7\/12*y**4 + 0*y. Suppose u(q) = 0. What is q?\nAnswer: -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**6))**18\/(b**18*b**7*b))**33 assuming b is positive.\nAnswer: b**(-4422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*2\/4*4. Suppose -3*v + 3*a + 6 = 0, -10 = -5*v - 3*a - 2*a. Let r be (-414)\/(-21) - v\/(-7). Solve 3*d - g = -r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkekeee. Give prob of sequence ek.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from aeamr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18436 = 118*t - 129*t. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/60 + 7*j**4\/24 - j**3\/6 + 6*j**2 + 1. Calculate u(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/((-39)\/(-42)) - -4. Is 8706\/15 - -7 - (-4)\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 - -0.3. Let t = 1852 - 1852.949. Let f = s - t. What is f rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25441 = o - 1559. Round o to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 358 + -252. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.42 and -1432.83.\nAnswer: -1433.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 8*y - 1. Let g be k(-8). Let q be 30\/(-5) - (g - -1). Let p be 2 + 3\/(q\/(-4)). Let i(c) = -c**3 + 4*c**2 - 1. Determine i(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(2*a + a - a) - 2*a - 3*a + 3*a + 0*a - 4*a - 3*a - 2*a + 4*a - a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2825.\nAnswer: -1\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -6. Let l(z) = z**2 + 2*z + 2. Is l(w) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319401 is divided by 11192?\nAnswer: 6025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 6*q - 3. Let b be g(-5). Suppose -b*t + 32 = -0*t. Suppose 0 = x + 4*h - t, -5*x = -x - 2*h + 8. Solve -6*l + 2*l + 4 = x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 1 = 15*s. Let u(n) = n**2 + n. Let m(i) = 18*i**2 + 8*i. Let h(p) = s*m(p) + 8*u(p). Let c(w) = -w**2. Give c(h(x)).\nAnswer: -100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/5, 0.2, -0.5, -4.6?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 580 and 0.19?\nAnswer: 110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53377338 + -31620125. Let h = l + -21757050.00159. Let u = 163 - h. What is u rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*v + 19*v + 3*v + 755*v**4)*(-2*v + v - v - 2*v - 13*v + v + 2*v - 5*v + 2*v + (v - 4*v + v)*(-4 + 4 - 2)).\nAnswer: -9815*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 14*y**2 + 67*y - 198. Let u be p(9). Let m be 1 + (-29)\/30 + 0. Is u at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = h - 2*i + 7, -15 = -3*h - 3*i. Find the second derivative of -4*z**3 - h*z**3 - 4*z + 3*z**3 wrt z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -2. Find the second derivative of 3*f - 3*f + 0*f**r + 2*f - 3*f**5 wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*s**3 - 267*s**3 + 77*s - 77*s + 317*s**3 + 237*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/20)\/((420\/(-1064)*-19)\/(-3)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2724883\/689062 + 2\/31321. Let t = 109\/11 + -1161\/176. Calculate the common denominator of t and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14041 (base 5) in base 16?\nAnswer: -47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**9\/6804 - y**8\/540 - y**7\/315 - 119*y**3\/6 + 260*y. Let b(c) be the second derivative of o(c). Factor b(s).\nAnswer: -4*s**3*(s + 1)*(s + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 1. Let g = k - 0. Let n = -1053 + 1052. Which is the closest to n? (a) -2 (b) g (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - 2*g - 2. Let u(y) be the third derivative of -2*y**5\/15 - 7*y**4\/24 - y**3 - 52*y**2. Let a(b) = -4*u(b) + 11*x(b). What is a(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 104 = -2*j + 5*o, 4*j - 140 = 4*o. Calculate the least common multiple of 7 and j.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -4*f + c, -97 + 11 = 4*f - 5*c. Let y be ((2 - f) + -2)\/((-9)\/18). Is y < -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*y**2 - 12*y**2 + 22*y**2.\nAnswer: -104*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:01 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*m + 4*n, 5*m + 3*n - 8*n = 135. Is (-3 - m\/(-8)) + 770\/8 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -1.1324. What is b rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 324 = 5*n - 6*i, 35 - 206 = 3*n + 6*i for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*j + 57 = 0, 4*j - 44617 + 44679 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9749 is divided by 184?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1))**(-1\/18)*(l\/(l**(2\/3)\/l))**(35\/3))\/(l\/(l\/l**7)*(l**(1\/5)\/l)\/l*l)**(5\/8) assuming l is positive.\nAnswer: l**(841\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/469935?\nAnswer: -16\/469935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kje when three letters picked without replacement from kkjoe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssooxssosopssssx. What is prob of picking 1 p and 1 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 13 - -9 - (6 - 10 - -14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.4, -130, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1332600 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -24137, 5 in descending order.\nAnswer: 5, 3, -24137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.25 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 406680080 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 639 - 640. What is the closest to x in 5, 1, 3\/8, 1.06?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3732, -3014, -1826, -174, 1936, 4498, 7506?\n\"Answer: -j**3 + 241*j**2 + 2*j - 3974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let u(c) = 113*c + 6*c**4 + 17 - 59*c + 13*c**4 - 57*c. Let h(n) = u(n) + 3*y(n). Differentiate h(v) with respect to v.\nAnswer: 76*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.1 + 5. Let l = -0.8 - p. Let a = 5.05 - 0.05. Put a, l, -1\/4 in ascending order.\nAnswer: -1\/4, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 4:42 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(42\/9 + 1). Let h be (-1 + 9\/(-3))\/i. What is the closest to 2\/3 in -0.4, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 3*g**3 + 210*g**2 - 541*g**2 + 272*g**2.\nAnswer: 3*g**3 - 59*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1245 by 249.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 + 9*n**2 + 19*n - 63. What is k(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 0*x + 0 - 15 = 0, 4*r + r + 3*x = -84 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((102 - 99)\/(6\/10) + -7)*-2755 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*g - 62 = 0, c - 7 - 25 = 5*g. Let l = 0 + 6. Let n be 16\/12*99\/l. What is the greatest common factor of n and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -8 (c) -5 (d) -25983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5 - -2) + 2)\/1. Let i = d + 10. Calculate the least common multiple of 4 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 286, 418, 550, 688, 838, 1006, 1198?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 + (6\/(-3) - -1). What is the closest to -2 in -5, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 6 + 2. Solve -3*u + 5*u = -h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*x + 18. Calculate the least common multiple of -7 - -14*(-19 + 20) and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 761*m**3 - 8*m**2 + 61*m - 215. What is the tens digit of s(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 7, 3, 0, 4, 1, 44.\nAnswer: -67, 0, 1, 3, 4, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*l + 260, 0 = -h - 0*h + 4*l + 100. Suppose 88 + h = -21*r. Which is the closest to r? (a) -2 (b) 0.5 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 - 40*l**4 - 5096*l**3 + 5308*l**2 + 25734*l + 15372 = 0 for l.\nAnswer: -42, -1, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0.0502614.\nAnswer: 5.0502614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18129 and -309.\nAnswer: 17820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 791941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2142847\/2 (c) -306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 36260*u.\nAnswer: -4*u*(u + 9065)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(1\/(567\/513 + (-4)\/38))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.3130117 decades?\nAnswer: 3.130117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s**2 - 3 - 4*s**2 + 0*s**2 + s**3. Let h = 1 - -3. Let u be x(h). Is u smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-2))\/((-6)\/(-40)). Let k be 64\/v - (-4)\/10. Let u be (50\/k)\/((-2)\/(-768)). What is u rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -n - 0*w + 18, 16 = n - 4*w. Let b be (28\/n)\/(12\/(-27)). Is b bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1105.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -1\/132*d**4 - 1\/165*d**5 + 0*d + 3*d**2 + 1\/33*d**3 + 0. Factor q(t).\nAnswer: -2*(t + 1)*(2*t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21.5 (b) 0.3 (c) 1\/6 (d) 0.01 (e) 0 (f) 37 (g) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140425418?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -71, -98, -121, -140, -155?\n\"Answer: 2*i**2 - 37*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/12*-4)\/((-106)\/5565).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 10*x - 28. Suppose 4*h + 4*v - 2*v = 70, 34 = x*h + 2*v. What is the smallest common multiple of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + ((sqrt(2) - (-5 + sqrt(2) + 0)) + sqrt(242) + 0 + sqrt(242) - (-1*sqrt(250))\/sqrt(5)) + -4)**2*-1.\nAnswer: 4374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (637\/(-156))\/(-49)*0. Let u(q) be the first derivative of 0*q**3 - 3 - 23\/5*q**5 + 19*q + o*q**2 + 0*q**4. Differentiate u(b) wrt b.\nAnswer: -92*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(9471\/68068 - ((-13)\/(-1183) + 1\/7))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/8)*j**9)\/(j**(-2)*j*j**(6\/7)) assuming j is positive.\nAnswer: j**(505\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 301 + 77 + 0*o**3 + 63 + 46 + o**3.\nAnswer: o**3 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3437, -3432, -3427, -3422, -3417, -3412?\n\"Answer: 5*b - 3442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12)*4*(-11685)\/410?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/((-2)\/(-2)))\/1. Let o(l) = -1. Let k(n) be the second derivative of n**3\/3 + n**2 - 41*n. Determine y*k(q) - o(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 1456?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4 = 2*b. Solve -5 = -o + b*o + 5*r, -o - 5 = -r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -91936837029 and -0.418.\nAnswer: -91936837029.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0882 less than -0.105?\nAnswer: -0.1932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 25*n**2 + 3*n + 9. Is b(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 17*c**3\/3 + 3*c**2\/2 + c. What is the hundreds digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/112)\/((-5)\/(-7))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35700 (b) -2\/31 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 40 - 160. Let y(q) = q**2 + 2*q. Let w be y(6). What is the greatest common divisor of c and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3\/5, -17\/2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66178475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {g: 4, w: 4, x: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 9796491\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24772 plus 29296542?\nAnswer: 29321314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 113731704 divided by -462324?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4743018314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 5*q**2 - 3*q - 4. Let p be u(-5). What is the second derivative of 14 - 24 + p*i**4 + 10 + 148*i + 150*i**4 wrt i?\nAnswer: 1932*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4552*s**2 + 104742*s + 1058 = 0?\nAnswer: -23, -23\/2276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*c + 4*d, 4*d = -5*c + 12. Let w(i) = 2*i - 5. Calculate the remainder when 85\/15 + (-1)\/(-3) is divided by w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from {j: 1, b: 3, k: 8, s: 3, g: 1, y: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6799713 or -6799709?\nAnswer: -6799713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*f - 371*f = 1839 + 375 + 627 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 - -241.1. Let u = 26.4 - t. Which is the closest to -14? (a) -1 (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*f - 314*f + 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51118 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 9*i**2 - 21*i - 4. List the prime factors of n(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -618028 and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3729024 and 234?\nAnswer: 3729024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -17. Suppose -5*r - n = -27. Solve -3*w - l + 2 = -0*w, -2*l + 15 = -r*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.639 + 0.569. What is the second smallest value in n, 0.1, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129\/20 bigger than -183111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 49377060?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 - -138.1. Let i = -8.9000015 - w. Round i to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x - 8. Let p be f(-4). Suppose 10*l - 5*l = p. Solve 14*g - 10*g = l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45218?\nAnswer: 2, 23, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*z + 157638 = 23*z - 424312. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 + 15*m**2 - 29*m**2 + (-1 + m + 1)*(0*m - 2*m + 0*m) - 3*m**2 - m**2 + 2*m**2 in the form z + g*m + v*m**2 and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7 + h**2 - 2*h**2 - 3 - 8*h. Let w be z(-2). Solve -w = 5*f - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(78) + sqrt(78) + sqrt(78) - sqrt(78)))\/sqrt(6).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(100\/48))\/(40\/600)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181 - 181 - 94*m**2 + 89*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 6*g. Let b be 4*1\/(-8)*(15 + -1). Determine y(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-11 - -8) - (1 + 1 + 14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -283707 and 0.0356.\nAnswer: -10099.9692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 129*s**2 - 3*s + 4. Let j be i(1). Let v(p) = 21*p - 174. Let c be v(12). What is the greatest common factor of j and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 353033 = 1255433. What is w rounded to the nearest 1000?\nAnswer: -226000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/8)*j)\/j)\/j*j*j*j)**(-32)*(j**(-6\/5)*j)\/j**20 assuming j is positive.\nAnswer: j**(-401\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1315 - -135447\/103. Let i be -3 - (-6 - -2) - -41. Let q = -43 + i. Is q <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 8}. Give prob of sequence jjjn.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-14)\/(-5880) + (-66)\/798.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*l - 79. Calculate the least common multiple of 18 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + 0)*4760\/100. Suppose 992*w - 995*w = -102. What is the highest common divisor of w and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 3. Let y be z(7). Suppose -4*p + 10 = -3*p + 4*v, -y = p - v. Let i = -4 - p. Solve 8 = -i*x + 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -21*c**3\/2 + 249814*c**2 - 1450934*c - 285432 = 0.\nAnswer: -4\/21, 6, 23786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a**3 + 2*a**2 - 521*a - 8. Calculate x(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (962 + 171 + 95)*(3*i**3 + 2*i**3 - 4*i**3).\nAnswer: 1228*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 30580, 30532, 30458, 30352, 30208, 30020, 29782, 29488?\n\"Answer: -q**3 - 7*q**2 - 20*q + 30608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206047?\nAnswer: 206047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*b = 11, -21*g - 4*b = -20*g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57\/5, 8, 0, 0.4, -0.5, -0.1 in ascending order.\nAnswer: -57\/5, -0.5, -0.1, 0, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -520, -1044, -1578, -2128, -2700, -3300, -3934?\n\"Answer: -n**3 + n**2 - 520*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -96*j + 1164. Does 35 divide h(-76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -6. Let q be 27\/(-12)*1\/3. Which is the nearest to 0.1? (a) n (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 217, 321, 435, 565?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*n + 42, 0 = 229*n - 230*n - 3*j + 16. Solve -n*g = -7*g + r, g = r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13397.34 to the nearest ten.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 578 - 578.967. What is m rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1221961, 1221962, 1221963?\n\"Answer: s + 1221960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 59*o**7\/105 + 74*o**3\/3 + 74*o**2 + 2*o - 65. Let y(s) be the first derivative of f(s). Differentiate y(a) wrt a.\nAnswer: 472*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25409 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -34 + 15 + -27 + -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/3)\/((615\/86670)\/(-41)) is divided by 84?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/270 and -1\/24?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s = 79 + 551. Let k = -1 + 7. Calculate the remainder when s is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3952.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/34)\/(22\/16 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 11*t + 12. What is m(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16990*o + 8755*o + 8882*o.\nAnswer: 647*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 - 4 - (-4 + -11) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/20 in 0.04, 12, -2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + 102\/(-15) - 34756\/(-20). Calculate the highest common factor of 148 and d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2098 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -30114756?\nAnswer: -15057378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9 + 13*t**3 + 4 - 51*t**3. Let s(b) = b**3 - 1. Let l(n) = o(n) + 3*s(n). What is the first derivative of l(k) wrt k?\nAnswer: -105*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 2*z - z - 28 + 18*z + 28 + (-2*z - 4*z + 5*z)*(2 + 0 + 0) in the form v*z + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -1. Let c(f) be the first derivative of f**4\/4 + f**3\/3 - f**2\/2 - 5*f - 1. Let z be c(0). Put z, v, 2\/3 in ascending order.\nAnswer: z, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10*y**3 - 1. Calculate the smallest common multiple of 3 + 0\/(-1) + 8 and v(1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -67968, -67575, -67182, -66789?\n\"Answer: 393*f - 68361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**3 - 1 - h**2 + 7*h**3 + 3*h - 2*h - 7 - 3. Determine c(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1085.15km to meters.\nAnswer: 1085150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w = 0. Suppose w = 2*x - 0*x - 52. Suppose 2*z = 4*z - x. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 74 = -21 + 47. Solve -4*i + 6 = 2*r, -2*i - 8*r = -5*r + u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**5\/60 - 11*s**4\/24 - s**3\/6 + s**2\/2 + 8. Let g(h) be the second derivative of z(h). What is the tens digit of g(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 - 40824*a + 81664 = 0. Calculate a.\nAnswer: -10208, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 48606900 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12311455 + -413?\nAnswer: 12311042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -69*p**5\/20 - p**4\/4 - 31*p**3\/6 - 39*p - 2. What is the third derivative of i(k) wrt k?\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 11*c + 20. Let x be -1*c\/(-4) + 2. Let t be ((-2)\/(-25))\/(18\/45*-2). Sort x, t, -5.\nAnswer: -5, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iooazgg. Give prob of picking 1 g and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2. Let m = 4 + 10. Suppose m = 5*k - 1. Let n(g) be the second derivative of g**5\/20 - 5*g**4\/12 - 858*g - 1. Determine k*r(j) - n(j).\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -143*a**5\/60 - 41*a**4\/8 + 56*a**2. Find the second derivative of s(f) wrt f.\nAnswer: -286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -187191 and 1?\nAnswer: -187191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/5305 - -5309\/10610. Which is the nearest to -0.05? (a) 1 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b + 3*b - 4*b - 6*b - 12 wrt b?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 106*t - 408. What is the least common multiple of o(4) and -1 - (-46)\/2 - 2?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103 times -0.057?\nAnswer: 119.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(1\/2)\/u)*u*u*u**(-2\/13)\/u*(u**(2\/3)\/u)**(-12))**(1\/9))**(-20) assuming u is positive.\nAnswer: u**(-550\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165775?\nAnswer: 5, 19, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:48 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*c**3\/3 + 142*c**2\/3 - 632*c\/3 - 64.\nAnswer: (c - 4)*(c + 24)*(7*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from nnugngnuuux.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.079 and 1.116432.\nAnswer: -0.088198128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/19200*32 - (-5 - 84\/(-16))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, and 2 h when four letters picked without replacement from hhcchhcshchhchhcch?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 55. Let n(u) = u**2 + 10*u - 51. Let j be n(-14). Suppose j*q + w = 4*y, -4*y + 22 = -q - 3. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 7*u - 91. Determine z(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7889 - 3948 - 3941 + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 14*b**3 - 8*b**2 + 4. Let m(u) = 13*u**3 - 7*u**2 + 3. Let j(d) = 4*m(d) - 3*w(d). What is the third derivative of j(v) wrt v?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-5)\/20*16\/(-28). Solve 24*c + 5 + 19 = q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 25. What is the common denominator of u + 66\/14 - (-789)\/140 and -29\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -20\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273923, 547842, 821761, 1095680?\nAnswer: 1369599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 25*k + 47. Let l be g(-26). Which is smaller: 23 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13279 divided by 2?\nAnswer: 13279\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43811712 divided by -1622656?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1088 - -1090. Solve -5*c = 4*g - 6, 4 = -5*g - h*c + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980866023?\nAnswer: 3, 379, 479, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 624*t = 628*t + 5, -4*t + 16 = -4*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, y: 6}. Give prob of picking 2 t and 2 y.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -2567?\nAnswer: 2566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-51)\/(-9) + 21862\/102. What is the highest common factor of 156 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiw when three letters picked without replacement from wwiwwwwwi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 5*o**2 - 15*o - 12. Let c(k) = -6*k**3 + 24*k**2 + 74*k + 61. Let b(j) = 2*c(j) + 11*n(j). Let t be b(-8). Let x = 162 + t. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93019673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 67*x - 74*x. Let v(i) = -11*i. Let p be v(x). What is the greatest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4268183\/12 + 355682. Let v = -1.2 - -2. Let m = 5.8 - v. Which is the nearest to m? (a) 0.3 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1664 - 1693.72. Let h = 0.28 - g. Let z = 29.9 - h. Which is the nearest to z? (a) -2\/5 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104326\/54495 + -4\/1211. What is the common denominator of 14\/(-108)*(327 + -325) and p?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13275?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 605030\/121 + -5000. Let g = -1213\/1452 - c. Calculate the common denominator of 139\/24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -1\/8*r**5 + 1\/24*r**6 - 1\/3*r**3 - 3 + 0*r**2 - 5\/12*r**4 + 1\/56*r**7 + 4*r. Determine m so that f(m) = 0.\nAnswer: -2, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -47*y**5\/100 + 91*y**4\/60 + 49*y**3\/10 + 9*y**2\/10 - 7*y - 28. Factor n(x).\nAnswer: -(x - 3)*(x + 1)*(47*x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443272 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/5850 and -89\/1560.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -4. Let m be ((-94689)\/231462)\/(-8*(0 + (-3)\/(-44))). What is the nearest to 1 in 2, n, m, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2963\/3 - 985. What is the biggest value in -2, -5, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 25 + 1 = 0. Is (-57)\/(-36)*v*(-104)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.165 and -1814173303?\nAnswer: 1814173301.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/17, 2, -2\/9, 1\/4, -1\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 4*x + 8. List the prime factors of h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898877 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362863 is divided by 120929?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -313*m**5\/60 - 91*m**4\/12 + 333*m**2. What is the second derivative of l(u) wrt u?\nAnswer: -626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - 3?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = 4*w, 3*r + 3*w = 456. Let m be 4\/(-18) + 289\/r. Which is the smallest value? (a) 4 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -10. Let b be (-31)\/(11\/88*-8). Sort b, 4, r in ascending order.\nAnswer: r, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 17 - 9. Let u(g) = g - 8. Let w(x) = 3*x - 25. Let f(z) = k*u(z) + 3*w(z). Let r be (-12)\/15*30\/(-4). Calculate f(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-2)*b)\/b*b)\/b)**(-30))**(4\/33) assuming b is positive.\nAnswer: b**(80\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 101 = 109 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6268 + -6230. What is the remainder when 1414\/35 + 6\/10 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-12)\/(-10)))\/((-86)\/(37152\/(-180))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -733078 and -0.27.\nAnswer: -733078.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 2. Let a be g(9). Let q = -158 - -189. Let v = a + q. Is 25 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5. Let q(x) = x + 1. Suppose 0 = 4*o - 27 + 31. Calculate o*w(z) - 2*q(z).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 8 - 12, 0 = -s + 4*z - 5. Sort s, 2, 3\/2 in decreasing order.\nAnswer: 2, 3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 1. Let f be j(-2). Let o(k) = 27*k**2 + k. Let z be o(-4). Let t be z\/12 - 4\/6. What is the highest common divisor of f and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10374\/5434 - 1\/(-11). Factor 0*n - 4\/3*n**3 + 0*n**w - 1\/3*n**5 + 0 + 4\/3*n**4.\nAnswer: -n**3*(n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -1563484?\nAnswer: -1563483.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 0 + 1\/3*q**4 - 1\/3*q**2 + 1\/3*q**3 - 1\/3*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-21)\/(-18)) + (-19771)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82395.6 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 14*i - 44. Solve 0*u - 12 = 4*u - i*p, 4*u + 5*p + 21 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**2\/2 + 20. Let a(i) = 4*i**2 + 10*i. Determine a(c(f)).\nAnswer: 4*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -283.\nAnswer: 4\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 4*h + 1. Let i be a(-3). Let d = i + -1. Solve 4*k - u = 3, -6*u = -4*k - d*u + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y + 70*y = -3*u + 684, u = -3*y - 248 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/20 + h**4\/3 - h**3 - 3*h**2\/2 - 2*h. Give i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18015341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -0.5 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (82\/2 - -4) + -2 + 6. What is the second derivative of t**2 + 33*t - 6*t + v*t - t**3 wrt t?\nAnswer: -6*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 3*a - 3*a)*(3 + 67*a - 67*a - 60*a**3) to the form o*a**2 + q*a + h + k*a**3 + s*a**4 and give s.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*x = 3*y - 73, 0 = -2*x - 4*y + 70. Suppose 3*i - 34 = x. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 42. Calculate the least common multiple of b(-22) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfff when four letters picked without replacement from {f: 9, s: 3}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - j - 19, -33 = -5*p - j + 3*j. Solve 3*a + 2*c - 5 = 0, 0 = c + 1 - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2 = -x, i = 3*x - 12. Let r = 1338 - 1338. What is the biggest value in 0.1, r, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12567 and 6778 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/30 + y**5\/12 + 5*y**4\/24 + 2*y**2. Let o(x) = x**3 - x**2 - x. Let n = 45 + -42. What is n*u(i) + 15*o(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 + -4 - -11)\/((-2)\/(-2899622)). Let q = -984811 + j. What is q rounded to the nearest ten thousand?\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502230010 is divided by 397?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5478026?\nAnswer: 2, 2739013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3312424 (base 6) to base 8\nAnswer: 502500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 + 233. Suppose t + 36 = 3*t. Calculate the remainder when h is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 184 = -24*k. Let t(b) be the third derivative of -b**4\/24 + b**3\/2 + 25*b**2 + b. Determine t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 483726 divided by -2\nAnswer: -241863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnpm when four letters picked without replacement from npnqpppnnpmjfnnpnpmp?\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/7 - 388*f**4\/7 + 10978*f**3 - 365272*f**2\/7 - 1639496*f\/7 - 1196992\/7 = 0. Calculate f.\nAnswer: -317, -2, -1, 8, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 330*b*i + 5297*b + 6*i**2 wrt i?\nAnswer: 330*b + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -144*k**4 - 2*k**2 + 114 with respect to k.\nAnswer: -576*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2375.6 from 0.3.\nAnswer: -2375.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**12*n*(n*n**16*n)\/n)\/(n**(-6)*n*n)**44)**(1\/65) assuming n is positive.\nAnswer: n**(207\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11655124 to the nearest integer?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*t = -16, 3*t = 3*c - t - 8. Let y(g) = 2*g**3 + 14*g**2 + g**3 + 4 - 4*g**3 - 1 - 18*g**2. What is y(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 3*r**3 + 1 - 2 - 5*r**3 - r**4 in the form z*r**2 + m*r**4 + a + k*r + t*r**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*w = 3748 + 1796 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1994 - -4360. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.31781 rounded to 1 dp?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*a - 37*a - 21 - 28*a as n*a + z and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -280 - -293. Let g be (-418 - m)\/(1\/10000*1). Round g to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 + 72.1. Which is the third biggest value? (a) -5 (b) -0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31822696 is divided by 1027.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 62670.867 hours?\nAnswer: 373.040875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d + 5*f, 0 = -3*f - 12. Let s be d\/((-2)\/(-4)*-1). Solve -4*i - s = -9*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h - 1 + 1 + 0 + 0 - 9. Let x(z) = 2*z**2. What is x(b(r))?\nAnswer: 32*r**2 + 144*r + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1944 is divided by 585.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -2\/11 (b) -4 (c) -3 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, 420, 1460, 2918?\nAnswer: 4794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-23004 + 19*x + x - 22*x - 4*x + 7*x).\nAnswer: -2*x + 46008","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 + 21*s - 26*s - 3*s**2 + 17*s + 3*s - 8. Determine n(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 30*(-851)\/(-115)*(-194)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -42. Let p be (3\/(-2))\/((-1)\/14). Let d = z + p. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/164 and 121\/10.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 96*l - 101*l - 14, 3 = -l for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/3 (b) 3\/4 (c) 69 (d) -0.3 (e) 2 (f) 0.6 (g) -15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70 - 465*s**4 + 69 - 1772*s**4 wrt s?\nAnswer: -8948*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*f**2*g + 4*f**2 + 2*f*g - 50 wrt g.\nAnswer: 82*f**2 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 224099924 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1847378 + -2.1814. Round z to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 less than 206\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 7. Let i = o + 8. Solve -b = -2*z + 1, -z + 5*z = i*b + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*y - 1486*y - 223*y - 3252*y)*(0*y + 0*y + 2*y**2) in the form u*y**2 + j*y**3 + c*y + t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.9 (b) 5 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 13*m**3 + 10*m**2 + 2*m + 9. Let d(g) be the first derivative of 3*g**4\/2 + 5*g**3\/3 + g**2\/2 + 4*g - 305. Calculate -9*d(u) + 4*p(u).\nAnswer: -2*u**3 - 5*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.338 - 0.37. Let w = 1725.96819 - 1726. Let a = h - w. Round a to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.2. Let d = 20.08 + -26.2. Let b = d - -0.12. What is the nearest to b in 5, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 34 = -5*a - 3*o, -26 = -4*a - o. Suppose -2*b - 10 - 2 = -4*x, -2*x + 18 = 5*b. Let f = 0 + b. Calculate the greatest common factor of f and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406038?\nAnswer: 2, 3, 31, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2277.3 - -2054.83. Let p = -220.9788 - 0.0212. Let q = g - p. Round q to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19555*n**3*p*x**2 + 3*n**2*p*x**2 - 2*n**2*p + 14*n*x**2 + 17*x**2 wrt n?\nAnswer: -117330*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (29 - 23) - 13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24\/3779 - 7294\/41569. Let q = -2 - -0.5. Let w = q + 2. What is the third smallest value in -2, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147660 by 321.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m. Let h(y) = -607*y + 756*y + 68 + 6*y**2 + 1165*y - 9*y**2 - 71. Give h(j(r)).\nAnswer: -3*r**2 - 1314*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 4*l - 1. Let z be (-70)\/21*(-6)\/5. Calculate j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 22. Calculate the greatest common divisor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2223 + 4475. Suppose 34*d = 468 + g. Is 33 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7319*k**2 + 10*k - 5. Let h(b) = 3660*b**2 - 4*b + 2. Calculate -5*h(o) - 2*x(o).\nAnswer: -3662*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (16 + -9 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*k + 136, -3*k - 40 = -4*g + 142. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -788.1 in -82, 13, -3\/8?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-42)\/4))\/(69\/966)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + 2507*g + 3*g**2 - 2508*g - 2*g**3 - 20 as p*g**2 + m*g**3 + a + v*g and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 2\/44655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2199*b + 2. Is t(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8341 - 4744. List the prime factors of g.\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) 0.5 (c) 4\/3 (d) 1 (e) -1381\/24 (f) -4 (g) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364302 and 743373?\nAnswer: 4923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2291*v + 57 - 57 + 8548*v.\nAnswer: 6257*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-6)\/(1*(-9)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -989 + 1873. Calculate the highest common factor of 52 and o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2441 or -2435?\nAnswer: -2441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -2486 and -2431 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, 1239, 0 in descending order.\nAnswer: 1239, 15, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11663346 + 4?\nAnswer: 11663353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 265*j**2 - 265*j**2 - 2*j - 2*j**4 - 41 + 8*j**3 + 24 in the form t*j**3 + s*j**4 + y + o*j + n*j**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/20 and 53\/9780?\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -54*o + 54*o - o**2. Let a(w) = 16*w**2 - 3*w**2 - 8*w**2 - 1. Let q(g) = -25*g**2 + 4. Let d(c) = 11*a(c) + 2*q(c). Give d(b) + 3*u(b).\nAnswer: 2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(-145))\/(36\/48).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*k + 555*k + 4764 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -164, -0.7, -127\/4, 0.2?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2 + 4*(2030\/56)\/29.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1818977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b + 7. Let f(g) = -g**3 + 8*g**2 + 9*g - 13. Let q be f(9). Let j(n) = -35*n - 15. Let r(a) = q*x(a) - 6*j(a). Give r(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262937679 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/9 + 272*v**2\/9 + 1510*v\/3 = 0. What is v?\nAnswer: -15, 0, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*g**4 + g**2 + 2 - 2*g - 23*g**4 - 4*g to z*g**2 + h*g**3 + n + v*g**4 + l*g and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 32, 0, -2 in ascending order.\nAnswer: -2, 0, 3\/4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 211355155 (base 7) to base 5\nAnswer: 11202110044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 143, 148, 151, 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1326 + -808.\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019 + 1019 + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/20)\/(-2*(-5)\/(-5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305 and 1952?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**3 - 101*j - 696 wrt j.\nAnswer: -9*j**2 - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9405)\/132*612\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -42.2 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y + 15*y + 1534 + 1586 = -60*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + w. Let y(k) = -77*k - 55. Let q(v) = 3*v + 2. Let x(c) = -110*q(c) - 4*y(c). Calculate x(i(s)).\nAnswer: 22*s**2 - 22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328379353 divided by 3.\nAnswer: -328379353\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*c - 8. Let g(x) = x - x + 3 - x. Let n(f) = 6*f - 16. Give c*n(b) + 16*g(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 936.9019 nanograms in micrograms?\nAnswer: 0.9369019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -6\/5, 4, 0.048, -0.4?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -11 + -1 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 - (-11 - 33 - -64)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10\/d**(1\/6)*d*d**11*d**(-2\/9))**(-3\/10) assuming d is positive.\nAnswer: d**(-389\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158594295 by 52864765.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Let o(i) be the first derivative of -i**5\/60 + i**4\/8 - 5*i**2\/2 - i + 14. Let k(z) be the second derivative of o(z). Calculate k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**2 - 2*a + 9. Let z be 2 + (-6)\/(-4)*2. Suppose 3 = -4*k - z. Calculate g(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141, -138, -135, -132?\n\"Answer: 3*j - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 12*x**2 - x + 3. Let s be j(2). What is the highest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/10 + (222\/4)\/((-735)\/49). Put 6, 0, -11, 3, w in descending order.\nAnswer: 6, 3, 0, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -5 + -1 - (2 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31439, -251616, -849251, -2013074, -3931815?\nAnswer: -6794204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 14*l = 61, 67*l = -4*m + 29*l + 39*l + 99 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 366677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6048 + 6076. Solve 194*c = 180*c - p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143826 (base 12) in base 16?\nAnswer: -528de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.89 - 0.3.\nAnswer: -23.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8734 > 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(99\/40) + 44\/(-198)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**2 + 9*j + 3. Is d(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 35*o**3 - 2*o**2 + o. Let y be g(1). Suppose 0 = -2*t - 4*h - 8, -2*t + 2*h - 12 + y = 0. Solve -r + t*r = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*r**3 - 959*r**3 + 4*r - 3*r + 510*r**3.\nAnswer: 39*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.26*0.0455515\nAnswer: 0.01184339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/30 - 31*w**4\/6 + 961*w**3\/3 + 158*w**2. Factor b(a).\nAnswer: 2*(a - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5, 75, 17, -3.\nAnswer: -5, -3, -2, 3, 17, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -152 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -269 - -271. Let r(w) = w**2 - 2*w + 1. Let o be r(3). Let g be 52 + (t - o) + 4. What is the greatest common factor of g and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2\/5 + 346*u\/3 - 19006\/5 = 0. What is u?\nAnswer: 51, 559\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.004, -0.29, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 2*s - 1\/6*s**3 + 0 + 4*s**2. Let m be y(-8). What is the greatest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3040 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3875413us?\nAnswer: 387.5413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -20*v - 74. Let k be o(-4). Suppose 3*m = -28*r + 24*r + k, -4*m + 8 = 4*r. Factor 0 + 2*g**3 - 3\/2*g + 11\/2*g**m.\nAnswer: g*(g + 3)*(4*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 1489110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 596*a**2 - 1760*a**2 - 2668*a**2 + 118*a**2 to the form m*a**2 + c + w*a and give m.\nAnswer: -3714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -408 or 9731?\nAnswer: 9731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24992 and 21868.\nAnswer: 174944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - c + 2*c + (-3 + 3 - 2)*(3*c - c - c) + (0 + 4 - 1)*(2*c + 0 + 0 - 4 + 4 - 2*c - 9*c - 6*c + 10*c + (-2*c + 5*c - 5*c)*(4 - 5 + 3) - c + 2 - 2).\nAnswer: -31*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -142977 times 0.4\nAnswer: -57190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1056\/(-9))\/22*6*(-9)\/(-24)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 11:35 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 0, -x - 2*s = -4 - 7. Calculate the remainder when 22 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x*x**(-33))\/x)*x)\/x)\/(x**3*x*x)*(((x*x*x**(-7)*x*x)\/x)\/x)\/x*x**(21\/2) assuming x is positive.\nAnswer: x**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20.416, 1, -5?\nAnswer: -20.416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-200))\/((-120)\/(-80)*(-4)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-21)*(-273)\/(-26). Solve k = -g, -3*g + 4*k = 14 - i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 q when three letters picked without replacement from {y: 1, q: 2, f: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (1 - -2 - -1). Suppose 2*j + 3*l + 5 = r, 1 = -2*j - 4*l + 5*l. List the prime factors of (j - (1 + -5))\/(1\/67).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23071 and -0.32.\nAnswer: 7382.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - -0.29. Which is the third smallest value? (a) -2 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33250664 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*s - 1\/2*s**4 - 3\/2*s**2 + 5\/2*s**3 + 2.\nAnswer: -(s - 4)*(s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 8*q**2 - 10*q - 14. Let w be n(6). Put 1\/2, 0.3, w in increasing order.\nAnswer: w, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2282 and 16268.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 6*l + 1. Let g be w(6). Let h be ((-3)\/6*0)\/(g\/(-1)). Suppose h*v + 4*z = 3*v - 23, -4 = 2*z. Solve a - 1 = 3*b - v*b, 2 = a + b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0575 + 543\nAnswer: 543.0575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 54*g**2 + 61*g - 1454. Determine v(26).\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -627923 or -627924?\nAnswer: -627924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27732*i - 14747*i**2 - 27732*i.\nAnswer: -14747*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2751 and 234717.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2882244 + 1?\nAnswer: 2882245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (300\/(-70))\/(2\/14). Let d = i + 32. Let p = -12 + 19. Solve -d*m + 5 = -p*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 706 = -34. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -269 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/45)\/(-2501 + 2498 - (-2)\/((-492)\/(-746)))\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 8. Let b be h(6). Suppose k - p = -1 + 3, k = 4*p + 2. Suppose -b = -4*y + k. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 11. Suppose 4*d - h - b = d, -2*d = 4*h + 14. Calculate the highest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/140)\/(18\/(-30)). What is the nearest to -2\/7 in -1, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -444 - -925. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + p + 1. Let y(d) = 5*d**2 - 2*d + 1. Let t(u) = 4*g(u) + y(u). Let x = 11 + -3. What is the remainder when t(-6) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17986 (base 10) in base 3?\nAnswer: 220200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g**3 - 3*g**3 - 3*g**3 + 2*g - 2 + 2*g**4 to i*g**2 + d*g**4 + m*g + y + l*g**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.5494nm in centimeters?\nAnswer: 0.00003325494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12396 + 12411. Which is the closest to 2\/3? (a) -0.23 (b) 3\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20687.\nAnswer: 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 11*o**2 - 20*o - 75. Let m(y) = 5*y**2 - 10*y - 35. Let w(u) = -4*k(u) + 9*m(u). What is w(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, c: 1, y: 2, w: 2, g: 4}. What is prob of sequence kcw?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**5\/5 + 37*x**4\/3 - 24*x**3 + x - 2527. Suppose q(h) = 0. Calculate h.\nAnswer: 0, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1837, -1773, -1635, -1399, -1041?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - p + (5 + p - 5)*(-1 + 2 - 3) + 0*p - 3*p + 5*p + 0 - 1 + 7*p - 8*p.\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 50.4. Let s = -0.5 - -0.1. Let y = d - s. What is the second smallest value in -2, 1, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/9 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, x: 2}. Give prob of picking 2 d.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -18. Is b at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/21)\/(-7)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5047812 and 40068.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 748 + -748. Suppose 2*j - 5*h - 21 = d, 3*j - 27 = -10*h + 13*h. What is the highest common factor of 164 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 - -28. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4461*a**3*v + 2*v - 268 wrt a.\nAnswer: -13383*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677 = -3*w + 71*w + 1159 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24576, 98494, 221686, 394146, 615868, 886846, 1207074, 1576546?\n\"Answer: -k**3 + 24643*k**2 - 4*k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 937 divided by 44\nAnswer: 937\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 3\/10 + 4\/(-10). Suppose 0 = -o - 2 - 1. Let m be o - -3*(-4)\/(-6). Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 15a54?\nAnswer: 15a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.569978055 - -8.57. What is l rounded to 7 dps?\nAnswer: 0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -6 - (-18 + 23)) + 1. Put 21, f, -5, -2 in increasing order.\nAnswer: -5, -2, f, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 8. Suppose b*l - 3*l + 5*p + 10314 = 0, -3*p = -3*l + 10320. Suppose -645 = -8*i + l. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2005 - -4353?\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 10279866 = -28*a. Suppose -28*q + 519754 = -a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + 16*m - 6. Let y be i(-6). Solve y*o + 32 = o - 3*u, 3*o = 5*u + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**0*g)\/g*g)\/g)**4\/(g**1)**(-10) assuming g is positive.\nAnswer: g**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + t + 6 = 0, q + 3*t + 6 = t. Let c(s) = 3 - 3 + 0*s**q - s**2. Let r(n) = 3*n. Calculate c(r(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (13 + -5) - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*u - 10*u + 256*u.\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 78484240.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 + 6556296*f + 6556294 = 0?\nAnswer: -3278147, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -0.9. What is the third smallest value in 3, 1\/2, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8622906, -4, 4 in descending order.\nAnswer: 8622906, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or 1226\/25?\nAnswer: 1226\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h. Suppose -22 = -5*p - i + 4*i, -i + 1 = h. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -6) + 5*28\/70\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**3 + a**2 + 3*a + 10. Let k be z(-2). Let u be 1 - ((-165)\/k + 5). What is the nearest to -4\/3 in u, -0.03, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 - 20 - 19) + 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12530*t - 50274. What is a(4)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 4, q: 5, c: 1, t: 1}. What is prob of picking 1 c and 2 d?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 3*k**2 - 2*k**3 + (3*k**2 - 2*k**2 - 2*k**2)*(-24*k - 21*k + 28*k) in the form s + w*k**3 + y*k**2 + t*k and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5770 divide 141988160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4440 and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = -3*y, 5*b + 44 = -2*y - 0*y. Let q = 25 + b. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**2 + 0 - 23\/6*w**3 - 3*w - 13\/6*w**4. What is the second derivative of x(d) wrt d?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 2, x: 1, g: 1, y: 1, v: 2}. What is prob of picking 1 d, 1 x, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + f**2 + f**2 in the form q*f**2 + t + s*f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*a - 2*a + 253, 4*a = -5*r + 491. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128247 and 7161.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imi when three letters picked without replacement from {i: 7, m: 7, c: 5}?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**4 - 52 - 60*n + 37 + 66*n)*(3*n + 3*n - 5*n).\nAnswer: -n**5 + 6*n**2 - 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400)\/(-550)*-22*(-10)\/(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 12) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:58 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*m + 4*l, 16*l - 20*l = m. What is the remainder when 41 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from bmbnbmmb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*m + 6*l**2*p*x + 5*l**2*p + 3*l**2*x - l*m*p*x + 195*l*p*x - 2*l - m*p - 8*x wrt l.\nAnswer: -4*m + 12*p*x + 10*p + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 14. Let c = v + -7. Calculate the greatest common divisor of c and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3358 - 56822?\nAnswer: -61281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/204 or 0?\nAnswer: -7\/204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*(8 + 28\/21*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612436074?\nAnswer: 2, 3, 7507, 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from hoofehohhfo?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 + 102. Suppose 4*v - c = 72. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 798 and 98?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*z - 17 = 0, -4*z + 31 = 11*g - 6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2299) + 3 + sqrt(2299) + (5 + (0 + sqrt(2299) - sqrt(2299)))**2 + -2.\nAnswer: 26 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210611 is divided by 1240.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-3)*90\/4. Let s be r\/(-4)*(-10)\/15. Suppose -s*g - q + 103 = 0, -5*g = -0*q + 2*q - 106. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1313 = -311*o - 4112 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 55. Suppose 0 = j - 3*j + y. Solve 4*r = j + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 105 = 10. Suppose -l - 5*c + 18 = 0, -2*l - c + n = 5. Let q = -5 + l. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 931 - 912. What is the highest common divisor of m and 4864?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + 0.8. Let s = 7.2 - 8. Is s not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 0 - (7 - (-105)\/(-20)). Factor 0*t**2 + 0 + 0*t - q*t**3.\nAnswer: -t**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/11)\/((-2470)\/(-209) - 12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/94 + 787\/6110. Let u = 22\/35 + -3\/7. Which is the fourth biggest value? (a) n (b) -2\/3 (c) -0.1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377480851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikvk when four letters picked without replacement from {b: 2, k: 4, t: 1, y: 4, v: 1, i: 3}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 669829*o**6 + 2*o**3 + 789327*o**2?\nAnswer: 80379480*o**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 - 23*c - 35*c**2 - 19*c + 23*c to the form m*c + t*c**2 + u and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, p: 10}. What is prob of picking 2 p and 1 r?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521 is divided by 150.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.7 + -14. Let d = q - -0.3. Which is the smallest value? (a) d (b) 0.2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4079934 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141042355 and 668?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + (1 - (-4 + -7 + -2)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 116*k**2 + 62*k + 19806. Give f(-117).\nAnswer: -1137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33\/2 - 17. What is the nearest to -1\/2 in u, -5, -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 3*n + 5 + 2*n - 1 - 9. Let j be p(0). Sort -1, 3, j in decreasing order.\nAnswer: 3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4. Let o(g) = 8*g + 12. Let y(v) = 6*n(v) - o(v). Give y(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 - 3*b**2 + 2*b**2 - 3*b**2 - 2*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -302.\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = -4*q, -7*q + 2*q = -3*z + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**6\/9 + 73*z**5\/120 + 9*z**4\/8 + 8*z**3\/9 + z**2\/3 + 23*z. What is q in d(q) = 0?\nAnswer: -2, -1, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*180\/96*((-1)\/12 - (-9)\/12). Factor 0*z**2 + 0 - 2\/15*z**h + 0*z + 2\/3*z**3 - 8\/15*z**4.\nAnswer: -2*z**3*(z - 1)*(z + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**4 + 19*s**4 - 8*s**4)*(3 + 8*s - 2 + 0).\nAnswer: 40*s**5 + 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 61. Let p = -5 + k. Calculate the remainder when (-1)\/(57\/1178*6\/(-9)) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -14.1?\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.599 - -2.401. Which is the closest to 0.1? (a) 0 (b) 5 (c) 0.4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 18)*(x - 5*x + 2*x)*(1 - 2 + 2).\nAnswer: 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/(-8) + 2 + 4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 6:50 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139303\/34 - 4097. Let i(a) be the first derivative of -12 + 0*a**2 - 4\/51*a**3 + 0*a + 6\/85*a**5 + s*a**4. Factor i(t).\nAnswer: 2*t**2*(t + 2)*(3*t - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 643, -1, 120, 0 in decreasing order.\nAnswer: 643, 120, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, 23, 42, 61, 80, 99?\n\"Answer: 19*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppprppxppprx. What is prob of sequence rpx?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -163a85 (base 11) to base 2\nAnswer: -111110000011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -63*g**3 - g**2 - g + 1. Let z be q(1). Let b(l) = -l**2 - l + 3. Let u be b(-3). Let y be z\/(-24) + (-1)\/u. Solve -y*x + 8*x = -25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/5, -0.1, 101?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-819)*-13*7*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*a + 4 = 2, -4*b = 3*a - 5. Let y be (-24 + 22)*(1 - b). Factor -24*f**y + f**4 - 21*f - 9 + 5*f**4 - 6*f**3 + 3 + 3*f**5.\nAnswer: 3*(f - 2)*(f + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6610829 smaller than 6610840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**3 + 4*f**3 - f**3)*(-4 + 5 - 6)*(6 + 5 - 4) + 2*f - 2*f**3 - 2*f to the form c + s*f**3 + y*f + n*f**2 and give s.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2242 - 3711 = 13*r. Is -1930\/17 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -55. Let m(v) = 143*v**r - 278*v**2 + 138*v**2. Let l(s) = 33*s**2. Calculate l(m(t)).\nAnswer: 297*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 17120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -2\/9, 5, 1\/6, -5\/2 in decreasing order.\nAnswer: 79, 5, 1\/6, -2\/9, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 23*g - 12. Determine h(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2671200 and 1113000.\nAnswer: 13356000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1773*p + 26644. Determine l(-15).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, k: 7}. Give prob of picking 4 k.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 5, 0.053, 4 in descending order.\nAnswer: 5, 4, 0.053, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 3:40 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7037 - 12*x**2 + x**2 + 7031 - 3*x**4 + (4*x**2 + 3*x - 3*x)*(-x + x + x**2).\nAnswer: x**4 - 11*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**5 - 2153*n**4 - 9*n**3 - 12*n**2 + 6063*n + 11 wrt n.\nAnswer: -240*n**2 - 51672*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 4*n. Suppose 3*f = -5*d + 18, -d = -n*f - 3*f. Solve -2*t + 3*l + 1 = -0, d*l = 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/(a*a**20*a))\/a)\/a)\/(a**(2\/27)\/a))\/(a**(-6\/5)*a*a**(1\/15)\/a) assuming a is positive.\nAnswer: a**(-2692\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9146897 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 920\/(-132) - 0 - -6 and 47\/261.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 10*p + 14. Let a be b(10). Suppose -4*k + a - 2 = 0. Solve 3*i + r + 7 = 0, -14 - 1 = -k*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 222*i**2*y**3 - 863*i**2*y**2 + 10*i**2 - 3197*i*y**3 + 3*i*y + i + 4*y**2 wrt y.\nAnswer: 1332*i**2 - 19182*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, -90, -397, -1022, -2079, -3682?\n\"Answer: -19*r**3 + 12*r**2 - 6*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by -562987\nAnswer: -157\/562987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11\/(f**(-5)*f))\/(f\/((f\/(f**(6\/11)*f*f))\/f)*f\/(f\/((f**(-2\/27)*f)\/f*f))) assuming f is positive.\nAnswer: f**(3127\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2019 = 2*o, 0 = -2*o - 1 - 5. Suppose -i = -3*c + 120. Calculate the highest common factor of c and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 = 3*a + 19, 5*a + 15 = 0. Factor 7*q**z - 3*q - 3*q**2 - q - 4*q**3 + 4*q**2.\nAnswer: -4*q*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 5*b + 1146 - 1111, 23*b - 185 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 148914350 + -0.2\nAnswer: 148914349.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3664079 + 3664079 - 15*s**2.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -o. Let a = -0.046 + 25.046. Let j = a - 21. Is j < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 20*q**2 - 5*q - 19. Give c(5).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.67340949 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -1)*(-68)\/(-12). Let k = -66.9 + 67. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.4 - 5.4. Let l = q + -41. Let d = -18 + 9. Which is the smallest value? (a) l (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100 - -10011?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 6969, -3, -5, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (sqrt(2448) - (-2 + sqrt(2448))) + sqrt(2448).\nAnswer: -4 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*u + 19 = 0, 0 = -a + 6*a - 2*u - 7. Suppose a*m - 2 = 4. Solve 0 = i - m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 j, and 1 w when four letters picked without replacement from {v: 1, b: 2, w: 1, j: 2, d: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -39. Let z be -2 + -1 + 1 + 12 + p. What is the common denominator of ((-118)\/48 - 0)\/(z\/2) and -31\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:26 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15\/7 - -51\/14. Calculate the common denominator of a and (-28)\/12*6\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 869 + -608. What is the second derivative of -261*a**3 - 1 - 104*a**4 - 12*a + h*a**3 wrt a?\nAnswer: -1248*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 - 5*b - 131*b**3 - 5 - 10*b - 3*b. Let t(d) = -250*d**3 - 37*d - 10. Let z(o) = -5*n(o) + 2*t(o). Find the second derivative of z(r) wrt r.\nAnswer: 780*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*b**3*c**3*d - 2*b**3*c - 2*b**2*c**2*d + 44*b**2*c*d - 5*b*c**5 wrt c?\nAnswer: -138*b**3*d - 300*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1302, -1864, -2426?\nAnswer: -2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222\/13*2\/12*3 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((-21)\/(-147))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 3:13 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 412 + -412. Suppose -2*c + 16 = -4*j, -2*c + 3*j = 2*c - 27. Let u be -7 - 4\/c*-3. Sort g, u, -0.1 in increasing order.\nAnswer: u, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/412237 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + l**2 - 4*l + 2. Let s be m(1). Let t be 2 - 2\/(-3)*s. Suppose t = -2*d - 3*d + 1020. What are the prime factors of d?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqrqrqqrrws. Give prob of picking 1 q, 1 w, and 1 r.\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 280, -3, 3.\nAnswer: -3, -4\/9, 3, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63925656.\nAnswer: 2, 3, 2663569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:14 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92451 - 92448 - 92392 + u + 369748 - 92457.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132711500 a multiple of 972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1000100011 (base 2) to base 12\nAnswer: -397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1390 and 60743.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -578577.\nAnswer: -1\/192859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.11 or -49?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -955*t**6 - 1694*t**2 - 2*t wrt t?\nAnswer: -114600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x + 11. Let m(f) = 2*f**2 - 3*f + 34. Calculate 2*m(d) - 7*t(d).\nAnswer: -3*d**2 + d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -2\/791 (c) 0.4 (d) 1\/10 (e) 4 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0018 + -2.9982. Which is the nearest to -1? (a) s (b) 1\/200 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -456b7 (base 12) in base 6?\nAnswer: -1552351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4356*o + 136262. What is k(-32)?\nAnswer: -3130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 + 350936*k. Let w(z) = -2*z. Give w(b(q)).\nAnswer: 10*q**2 - 701872*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 + 3585180*c**4 - 10755570*c**3 + 10755580*c**2 - 3585195*c.\nAnswer: 5*c*(c - 1)**3*(c + 717039)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 4*n + 44. Let l = n - 6. Solve -l*o = 15 + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3480 divided by -435.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.88 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5789, 11558, 17325, 23090, 28853?\nAnswer: 34614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466284 is divided by 1466268.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.88 - -9. Which is the biggest value? (a) w (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -39. Calculate the remainder when (97\/4)\/(78\/312) is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c = 12*c + 70 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 + -6)) + (-14 - (-14 - 24)) + -20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5869*u**4 + 2440*u**2 - u + 16698497 wrt u?\nAnswer: 70428*u**2 + 4880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*g, v - 10*g - 8 = -5*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/36 - 153\/(-4) is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*t + 195355 + 80450, 3*t + 3*b + 275775 = 0. What is t rounded to the nearest one thousand?\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(1\/5)*r)\/(r**(-6)*r) assuming r is positive.\nAnswer: r**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -63 (c) -1 (d) -16.4 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/((-1045)\/10) - (-16)\/(-396)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 2*h**3 + 9*h - 2*h**2 - 12*h to the form t*h**2 + w*h**3 + a*h + n and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 6*s**3 - 49 - 131 + 180 - 13*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/1)\/(-6)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8734 = 1728*f + 10274 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*v + 4446 = -2*v. Let x = 57 - 29. Solve v - x = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-2)\/sqrt(11) + -4)**2*5.\nAnswer: 80*sqrt(13) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.15, -0.3, -0.5, 4, 69?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 - 3688*u\/3 + 1230.\nAnswer: -2*(u - 1)*(u + 1845)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4*p + 1765790*i**3*l*p + 2*i*l*p - 3*i - l*p + 32*l + 17 wrt i?\nAnswer: -24*i**2*p + 10594740*i*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1427*w - 9820*w + 3677*w - 3230*w - 9842*w as m*w + n and give m.\nAnswer: -17788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4764164*r**2*u**3*v + r**2*u**2*v**2 - r*u**3 + 2*r*u**2 + u**3*v**2 - 473*u**2*v**2 - 2*u**2 + 103 wrt r.\nAnswer: -9528328*u**3*v + 2*u**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/64 + 2\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 19*n - 138. Give q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -6, -363\/31?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 717*k*v**4 - 91*k*v + 3*v**2 wrt v.\nAnswer: 17208*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11408 + -0.0948. Round w to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97775.\nAnswer: 5, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 15 + -4 + 23 + 0?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r = 68. Calculate the remainder when 65 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3*(-9 - 0). Let g = -5 + s. Is 9 a factor of (-18)\/(-2 + (-1 - g))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d)\/d*d**(-3))**24*(d\/d**(-7)*d*d*d**(-2\/3)\/d)**(4\/11) assuming d is positive.\nAnswer: d**(-3860\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 62 - 131 - x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3102\/466139?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 33. Let d = -249.7 + 279. Let h = d - r. What is h rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 27*l + 49. What are the prime factors of m(-29)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 4*b)*(14*b + 3*b**3 - 14*b) - 5*b**4 + b**4 + 2*b**4 + 2*b**2 - 2*b**4 - 2*b**2.\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + m - 1 = 0, 28 - 31 = 3*s + m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*1*(-10)\/(-6). Let u = -2448 + 2445. Which is the closest to 0.1? (a) u (b) 4.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1092*k*p**2*y**2 + 2*k*p*y + 2*k*p - 146*k*y**2 - k wrt p?\nAnswer: 2184*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 20522 = -16*i. Let b = i + -3456. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 184?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsvs. What is prob of sequence vss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*f + 4 + 0 = 0, 0 = 4*a - 2*f + 4. Suppose a = 5*w - 5*p - 5, -3*p = -w - 1. Solve -3*j = -w - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 110 and -0.4.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*r + 128*r = -16. Let s be (2 - 16\/6)*-6. Solve 3*t + 26 = -r*a - 9, -2*a - 30 = s*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/146 and 1\/438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*y + 25, -5*c = -2*c - y - 15. Let d(i) = -c*i + 1 + 1 - 2*i**2 - 8*i + i. Let t be d(-6). Solve -10 = -v + 3*x, -x = -v - t*v + 14 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.36\nAnswer: -0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 20*v**2 - 14*v - 4. Let z be g(-19). Suppose 15*r - 2482 - z = 0. What is the remainder when r is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/44 and -47\/1526.\nAnswer: 33572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53*u**2*x + u**2 + 134*u + 63*x + 26 wrt x.\nAnswer: 53*u**2 + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -15. What is the common denominator of ((1245\/(-20))\/3)\/(1\/f) and -83\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353248 is divided by 7562?\nAnswer: 7212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-48) - (-27)\/(-24). Let l be 3 - (0 + 1)*(-13 - -14). What is the fourth smallest value in s, l, -0.07, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389 - 426 - 320 + 1415 + k - 448.\nAnswer: k - 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -3111122?\nAnswer: 3111133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 1552*v - 76638.\nAnswer: -2*(v + 53)*(v + 723)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 1, r: 1}. Give prob of sequence ll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:18 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 255 = 11*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 25. Does 6 divide a(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, 2, 6034 in decreasing order.\nAnswer: 6034, 2, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*a - 55 = -0*a, 5*a - 58 = -2*u. Suppose 15*p - 453 = 12. Suppose 8*h = -p + 199. Calculate the remainder when u is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - -34. What is the tens digit of (-806)\/(-14) + 51\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**3 - 6*y**2 + 2*y + 14. Let g(z) = 2*z**3 + 2*z**2 - z - 5. Determine -3*b(s) - 8*g(s).\nAnswer: -s**3 + 2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*g = -95*g + 154 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 13. Suppose -3*v = -4*b - i*v + 11, -b + 5*v - 13 = 0. What are the prime factors of 7 - (2 - 2 - b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 6*d + 3. Suppose -3 = l - 4*r, 0 = 3*l - 4*r - 0*r - 7. Let m be v(l). Is 29 a factor of 63\/2 - m\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37276, 37244, 37200, 37150, 37100, 37056, 37024?\n\"Answer: w**3 - 12*w**2 - 3*w + 37290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcccwcvvwwkcc. What is prob of sequence kv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115799 and 1877021.\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -29*y + 36*y. Let i(q) be the first derivative of 0*q**4 + 0*q**y + 2\/3*q**6 - q**3 - 4 + 0*q**2 + 0*q. What is the third derivative of i(f) wrt f?\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30489.\nAnswer: 3, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4\/7 - 158*b**3\/7 + 8268*b**2\/7 - 140450*b\/7 - 148877\/7 = 0?\nAnswer: -1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 65. Let x = 18.17 + -23.3. Let i = x - -0.13. Which is the second biggest value? (a) l (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5 - 515*k**4 + 1640*k**3 + 5300*k**2 = 0 for k.\nAnswer: -106, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 42 = -4*f + 121, -15 = 5*j. Suppose g + 9 = f. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*q - 1 = 40, 0 = -4*o + q + 75. Let k = o - 14. Let v = 13 + -8. Do v and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-1 + 4 - (-48 - -45))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -948423862 to the nearest one hundred thousand.\nAnswer: -948400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -41, -323, 0, -3, 3 in decreasing order.\nAnswer: 3, 2, 0, -3, -4, -41, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acwawqcwcwczca. What is prob of picking 2 c?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6733595 to the nearest integer?\nAnswer: 2595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, q: 5}. What is prob of picking 2 u and 1 q?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -29*z**3 - z - 2. Let k = 46 - -37. What is the remainder when k is divided by f(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -5, 26, -7.8, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 - 425\/(-34). Calculate the greatest common factor of 65 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 4, v: 1, d: 3}. Give prob of picking 1 p and 1 f.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26628426 divided by 7911.\nAnswer: -3366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -67*h - 2115. Let v be l(-32). What is the highest common factor of v and 8932?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(87\/(-84) + (-2 - -3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17420 and 1768780?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*g - 23 = 0, 4*g = -3*b + 4*b + 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15836 - 2888 - 3783 - 19311 + 3252)*(0*q + 2*q + q) in the form g + p*q and give p.\nAnswer: -115698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2604*j**2*y**2 + 1638*j**2*y - 27*j*y**2 + 2*j*y - 2*j + 34*y**2 + 90 wrt j.\nAnswer: 5208*y**2 + 3276*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2448) - (sqrt(2448) + -1)**2 - (sqrt(68)\/sqrt(2))\/sqrt(2)) + -3 + -5*(sqrt(17) + sqrt(85)\/sqrt(5)) + -4).\nAnswer: -7368 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 6*r + 5*r**2 + 4*r to w*r + a + l*r**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose -s + g*b + 26 = 0, s - b + 5*b - 2 = 0. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 2*n**2 + 29*n + 963. Determine s(0).\nAnswer: 963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from dldleleleee.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + -1 + 5 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*n**5 + 89*n**2?\nAnswer: -5520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o. Let y(b) = -14*b + 20*b - 8*b. Determine 6*j(z) - 11*y(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = s - 394, 6*s - 386 = 2*c + s. What is the common denominator of ((-16)\/14)\/(c\/147) and 32\/(-384)*(-5)\/(-2)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -861*d**2 + d + 4 + 433*d**2 + 426*d**2 - 5*d. Let f(x) = -2*x**2 - 5*x + 4. Calculate -4*f(y) + 5*k(y).\nAnswer: -2*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16175 + 10265. Let k = -5964.33 - g. What is k rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -1\/10, -2\/99 in decreasing order.\nAnswer: 0.2, 0, -2\/99, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37684644 + 23.647?\nAnswer: 25.02384644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**3\/3 - 5*l**2\/2 + 2*l + 2. Let j be q(4). Let k = j - -1. Which is bigger: k or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1210*m**2 + 239*m**2 + 244*m**2 + 252*m**2 + 241*m**2 + 261*m**2.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -39 - ((6 - (25 - 5 - 12)) + (12 - 2))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5293 - -5293. Solve l + 5*s - 25 = w, 0 = -2*l - 4*s + 3*s + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/7 - 1913963*j\/7 - 166507212\/7.\nAnswer: -(j + 87)*(j + 1913876)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-8 + (-3 - -22) + -4 - 11).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -334, -536, -758, -1006, -1286, -1604?\nAnswer: -1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/6 + 143*w**3\/3 - 282*w**2 - 3290*w. Factor n(r).\nAnswer: -2*(r - 141)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (38 - -6 - 24 - 60).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/6 + 2014*o**2\/3 - 20159*o\/6 + 4033 = 0.\nAnswer: -4033, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11925 + 11854.3. What is the closest to -0.1 in -3, 5, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*x + 155 = 149, 0 = 3*s + 3*x + 6. Solve 2*h + k = -2, h + 5*k - 26 + 9 = s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -839559505024?\nAnswer: 839559505023.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**5\/60 - 13*c**4\/24 + 2*c**3 + 55*c**2\/2 - 56. Let b(k) be the second derivative of p(k). Find x, given that b(x) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 22*s**2 + 19*s**2 - 13*s**2 - s + 1. Let m(h) = h + 8. Let t be m(-7). Let n be q(t). Calculate the highest common divisor of 14 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 4.4, 0.2, 4, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -212 + 153 + -11 + 0 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212112001 (base 3) to base 15.\nAnswer: -11b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*f + 16. Suppose 0 = t + 209 - 269. What is the greatest common divisor of t and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**4 + 23677*h**2*t**2 - 204*t**2 - 183 with respect to h.\nAnswer: -12*h**3 + 47354*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(21\/2)*(-187155)\/74862?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8\/5))**32\/(o**(-1\/32))**2 assuming o is positive.\nAnswer: o**(-4091\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140377399 minus 0.4?\nAnswer: 3140377398.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eebuexewubbe. Give prob of picking 2 u and 1 b.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1217? (a) -0.4 (b) -1 (c) 2\/11 (d) 0.5 (e) 199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(-2*sqrt(20)\/sqrt(2)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109.73 - 0.73. Let q = 104 - z. Which is the closest to -0.1? (a) -1\/4 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4))\/((-12760)\/(-2784)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 4370?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8955168 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 23576535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + h)*(38*h**2 + h**2 - 7*h**2)*(-8*h - 4 + 4).\nAnswer: -512*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -13. Suppose -9 = -4*l + t. Suppose 0 = -2*o + l*o - 20. What is the remainder when 19 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 216 - 82. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259 and 256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1771*c**2 - 2818*c**2 - 2347*c**2 + 3 - 640*c**2 in the form h*c + t*c**2 + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0302 and 0.08905.\nAnswer: 0.05885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2697 + 690.\nAnswer: 689.7303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 4 + 24. Suppose 0 = y*b - b - 42. 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: Is 6745611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r = -182*r + 773 + 527 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2065, 8673, 19695, 35137, 55005, 79305, 108043, 141225?\n\"Answer: b**3 + 2201*b**2 - 2*b - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 - 6*y - 3. Let n be z(-6). Suppose -2*v + 3*m - 5*m = -42, n = 5*v - 4*m. Calculate the remainder when 32 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13891 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/((273\/84)\/(15\/12))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - 2*j**2 + 2 + j**2 - 3 + 0*j**2. Does 11 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Let c(s) = -2*s + 1. Suppose 17*w - 4*o - 4 = 19*w, o + 2 = 0. Determine w*c(f) + 5*j(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 (base 13) in base 2?\nAnswer: 11010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c. Let b = 0 + 9. Suppose 2*l - b - 1 = c. Sort l, 3, -1 in decreasing order.\nAnswer: l, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 5. Let y(x) = 6*x + 6. Let q(r) = -6*t(r) - 5*y(r). Let c(g) = -76*g**2. Give q(c(v)).\nAnswer: -456*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 616164883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccoefeooco. Give prob of picking 1 o and 1 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = -0. What is the third derivative of 3*p**n + 2*p**6 + p**6 + 4*p**2 wrt p?\nAnswer: 720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 + 186. Let k(l) = -40*l**2 + t*l**2 - 39*l**2. Let y(p) = -2*p**2. Determine y(k(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1. Let i(j) = 3*j**2 + 2*j + 7. Let s(u) = 47*u + 469. Let y be s(-10). Calculate y*i(c) + 6*n(c).\nAnswer: -3*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 320141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 16*h**2 - 13*h - 28. Let c be p(-18). Let n = c - -2653\/6. What is the second smallest value in -1\/4, 0, 2\/3, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 37 - 11)*(0*q + q + q + (3*q + q - 5*q)*(-1 - 2 + 1) + (-q + 3*q - q)*(4 + 2 - 1)).\nAnswer: 396*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626 + 4494 = -646*b - 1946 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -9*c**2 - 140439*c + 93630 = 0.\nAnswer: -15605, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*f - 2*f. Sort f, -5, -1.\nAnswer: -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a hour in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**33\/((h\/(h\/(h*h**39)))\/h))\/(h\/(h\/h**7))**18 assuming h is positive.\nAnswer: h**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88857 is divided by 194.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = 3431 - 38195. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56824 (base 9) to base 16\nAnswer: -93d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i = -35 - 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51331644 (base 7) in base 12?\nAnswer: 1530909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 53*g**2 + 2*g - 110. Let f be k(53). Let u be (-2)\/3 + 10\/6. Let a(x) = 3 + x + u - 1 + 1. What is a(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -256119 - -1?\nAnswer: -256118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -487776, -487713, -487608, -487461, -487272?\n\"Answer: 21*h**2 - 487797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 19*j + 130. Calculate z(8).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254937 divided by -22.\nAnswer: -254937\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51817 - 19766. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130462 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/7*(1 - -1). Which is the nearest to 1? (a) j (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 769*g + 12 = 767*g, -w + 4*g + 42 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -11*x - 29. List the prime factors of u(-13).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*m - 5*q + 20, m - 4*q = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*c**2 - 14*c**3 + 91*c**2.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) -4 (d) 0.1 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2667 (base 9) to base 12\nAnswer: -11b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13881, -55495, -124851, -221949, -346789, -499371?\nAnswer: -679695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 49*y**2. Let d(i) = -8435345*i. Calculate c(d(q)).\nAnswer: 3486597218182225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spxsipcpxucpcccip. Give prob of picking 2 c and 1 i.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -121 - 64. Suppose -5*d - 150 = -5*y, 2*d - 31 = -2*y + o. Let i = 101 + y. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4389 by 4389.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72874 + -372?\nAnswer: -73136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1371 - -1277. Which is greater: -92 or v?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 9*i**2 + 8*i + 6. Is 13 a factor of d(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624\/(-6960)*3\/(-7)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*o + 63*o - 262 - 602 = 0. Let t(m) = 5*m**2 - 11*m + 3. Let f(h) = 4*h**2 - 10*h + 2. Determine o*f(b) + 3*t(b).\nAnswer: -b**2 + 7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 - -474. Let h = k + -136. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 121 + 8 + (3 - 2 - 3)*(2 - 2 - 2) - 2 - 3 + 2)*(3*w - 6*w - 2*w).\nAnswer: 500*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c + 8 = 0. Let q be 2\/4 - (c - -2). What is the closest to -0.1 in -5, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63b3770 - -3?\nAnswer: 63b3773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 8:20 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 3*n + 8*n)*(3*n + 3*n - 4*n) - 5*n - 487*n**2 + 7*n + 4*n - 6*n in the form d*n + j + k*n**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z + 1. Give d(22).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -115, -1, -2 in descending order.\nAnswer: 4, -1, -2, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/286881 and -1\/477.\nAnswer: 45614079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75511153?\nAnswer: 75511153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127.5 - -127. What is the third smallest value in -5, k, -48?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbbababtbbatbbaa. What is prob of sequence tatb?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x - 29 + 3. What is the second derivative of 0*v**4 - 56*v**4 - 78*v - 13*v**4 - 8*v**4 - 18*v**4 - x wrt v?\nAnswer: -1140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*g**2 - 21*g**2 - 92 + 181 - 8*g + 49*g**2 - 90 - 5*g**4 + 2*g**3 to the form h + i*g**2 + m*g**4 + v*g**3 + p*g and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 2*o)*(-o**4 + 2*o**2 - 2*o**2) + 2 - 2 - o**5 + (3*o**2 - o**2 + 2*o**2)*(-2*o**3 - 2*o**3 + 6*o**3).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v. Let j(z) = -53*z + 65*z - 445*z. Determine j(x(g)).\nAnswer: 4330*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 2*v**3\/3 + 9*v**2\/2 - 4. Let o be z(-6). What is the third derivative of -o*t**2 + t**2 + 11*t**2 + 6*t**5 wrt t?\nAnswer: 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**3\/6 + 4*l**2 - l. Let h(p) = -107*p - 14*p**2 - 5*p**2 + 85*p + p**3 + 40. Let f be h(20). Calculate d(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011445818 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/17, 0.2, -1\/2, 4 in decreasing order.\nAnswer: 5, 4, 0.2, 3\/17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 8*r - 4*z + 3, -21 = 4*r + 3*z. Let c = -215 - -217. Put c, 5, r in decreasing order.\nAnswer: 5, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2. Let f(s) = 7*s**2 + 11*s**2 - 20*s**2. Determine f(n(j)).\nAnswer: -72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (-2 + -1*sqrt(243))**2 + ((0 + sqrt(3) + sqrt(6)\/(sqrt(2)*-1))*-4)**2).\nAnswer: 180*sqrt(3) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 7*l**2 + 6*l - 4. Let k be p(-6). Let y be ((-2)\/12)\/(2*(-3)\/(-90)). Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**4 + 468 - 468 + 0*s + 2*s**4 - s**3 + 0*s + (-3*s**3 - s**3 + 2*s**3)*(-s - 2*s + 2*s) to h*s**3 + d*s**4 + x*s + i + n*s**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 6. Let r be x\/4 + (-14)\/(-56). Which is the third biggest value? (a) -3\/2 (b) 3\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -38. Solve -b + 5 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13014196 divided by -8?\nAnswer: -3253549\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*c - 136349 = 190*c. Calculate the remainder when c is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-14)\/4*7384\/(-2982)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 893985716*q\/7 - 99901307551504082\/7.\nAnswer: -2*(q + 223496429)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**2 + 4*c + 1. Let f(u) = -6*u**2 + 3*u. Let a(t) = 5*b(t) - 6*f(t). Suppose l - m - m = -10, -39 = 5*l + m. Is a(l) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**3 - 10059*l**2 + 19448991*l - 7670287953 = 0.\nAnswer: -4811, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/65 - 71\/195. Let w = -39.2 - -3.5. Let f = -36 - w. Which is the nearest to -2? (a) s (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98493 is divided by 132.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 < 2129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 17, v: 2}. What is prob of picking 2 x?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 361 = -349 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + h = -23, 6*n + 18*h - 56*h + 812 = 3*n + 737 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001204 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18 and -270758.\nAnswer: -270740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710683473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k = 42*k - s - 129004, -5*k + s + 215006 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/1870)\/(1\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t + 5*i + 247 = 0, 0 = -4*t + 4*i + 252. What is the remainder when t is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.054151 and 1901370?\nAnswer: 1901370.054151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 4659 - 4649 - u**3 + 0*u**3 + 3*u**3 + 2*u**3 + 0*u**3 + 0*u + 0*u + 2*u**3 + (3 + 2*u**3 - 3)*(3 - 1 + 0) + u**3 + 0*u**2 + 0*u**2 + 3 - 3 - 5*u**3.\nAnswer: 6*u**3 + u + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -126*b**3 + 34*b**2 - 4*b + 55. Is a(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 8, -2, 1, 0, -3 in decreasing order.\nAnswer: 26, 8, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22800411, -22800403, -22800391, -22800375, -22800355, -22800331?\nAnswer: -22800303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -5 - (-7 + 6 - 5)) + 3?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(384)\/sqrt(48))\/sqrt(8))\/(sqrt(16)\/(sqrt(432)\/sqrt(6) + sqrt(8))).\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97339 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 691*d**2*m**3 - 9*d**2*m + d*m**2 - 2*d*m - 1 wrt m.\nAnswer: 4146*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 j when three letters picked without replacement from {j: 1, q: 2, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873180?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -423, -2, 2 in ascending order.\nAnswer: -423, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, 1 j, and 1 l when four letters picked without replacement from {h: 1, j: 1, d: 2, l: 1, b: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + -4*5*sqrt(1872))*2*-1)**2.\nAnswer: -96000*sqrt(13) + 74880400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 783 and 208980351?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -337011*f**3 - 2*f**2 + 830700.\nAnswer: -1011033*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1065 + -1064.99999563. What is r rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 51*t**2 + 238*t - 83. Let q be c(-5). Determine u so that -3\/7*u**4 + 9\/7 + 24\/7*u + 0*u**3 + 18\/7*u**q = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvv when three letters picked without replacement from {l: 10, c: 1, v: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 21098803 + 21098803. Let f(u) = 4071*u. Calculate f(s(q)).\nAnswer: -4071*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165102328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = o, -2*o + 5 - 1 = -2*d. What is the third derivative of -12*u**5 - 6*u**5 + 9*u**2 + 4*u**d wrt u?\nAnswer: -1080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000010011001000100101 (base 2) to base 4\nAnswer: 20103020211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -0.4, 2\/1559, 4?\nAnswer: 2\/1559","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -183*b**2 - 2. Let y(n) = -3*n**2. Determine s(y(z)).\nAnswer: -1647*z**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 40*p**2 - 31*p + 136. Calculate the remainder when 28 is divided by v(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336 - -0.5.\nAnswer: -335.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -331, -1, -4, 362 in descending order.\nAnswer: 362, -1, -2, -4, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 913.1051 nanometers in micrometers?\nAnswer: 0.9131051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z - 17. Suppose 2*w + v + 18 = -0*v, -4*v = w + 23. Let i be s(w). Find the first derivative of 5*q - 39*q + 3 - 20 - i wrt q.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - (2*sqrt(1008) - sqrt(1008))*4 - sqrt(49)\/((sqrt(7) + -2*sqrt(7))*-1))*-2.\nAnswer: 74*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3 + 9950*v**2 + 989625*v = 0 for v.\nAnswer: -1885, -105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -0.4 (b) 4154\/3 (c) -1.084 (d) -2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-36) + 7178\/18. Suppose l + 65 = 4*m. What is the greatest common factor of 29 and m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, d: 1, r: 3, z: 1, h: 4, q: 3}. What is prob of picking 1 l, 1 h, 1 z, and 1 d?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 216 - 3068?\nAnswer: -2752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1434 - 20?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**6\/360 - d**5\/120 - d**4\/4 + d**3 + 8. Let g(i) be the third derivative of p(i). List the prime factors of g(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050528 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1071*b + 1487. Calculate the remainder when y(-1) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) 314601 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.313*-7.68\nAnswer: 10.08384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3 - 441*y**2 - 3592*y = 0.\nAnswer: -8, 0, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -91*n + 79*n. Let l be 6*(-3)\/(-12)*n\/3. Solve -5*q - 10 = -l*h + 5, 4*q = 5*h - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662)*-1)\/sqrt(2) + sqrt(1584) + (sqrt(1584)*2 + -4 + sqrt(1584))**2 + sqrt(1584) + sqrt(1584).\nAnswer: -263*sqrt(11) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 (base 16) in base 10?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 312757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34172257 to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/21 + 6\/7. Which is the second smallest value? (a) j (b) 0.2 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5*c = -40, 3*y - 170 = c - 154 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 0.4 (c) -0.015 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.49755 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - z - 15, 3*p = -2*z - 0*z - 25. Let h be (-1)\/(-1) + 30\/p. Suppose 57*s = -53*s + 135*s + 100. Sort s, h, 4 in decreasing order.\nAnswer: 4, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(2 - 2 + 2*p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -38. Let s = -2.4 - -0.4. Let k = -6 + 11\/2. Which is the closest to s? (a) k (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 2:17 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 88.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*y + 46 + 159 = 0, -15 = 5*y. List the prime factors of -1 - (v + 5 + -3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 124*o - 104*o - 40 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 2:57 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - l**2 + l**2)*(0*l**2 + 0*l**2 + 2*l**2) - 44*l**4 - 57*l**4 + 18*l**4.\nAnswer: -79*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/13)\/((-4291)\/111566). Let w be (78\/(-16))\/((-2)\/2). Let w*p**2 + 3\/8*p**q + 3\/2 - 9\/4*p**3 - 9\/2*p = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 8. Let a(l) = 70*l - 470. Give a(d) + 30*j(d).\nAnswer: 10*d - 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(209) - 1*sqrt(209))*-3*4)\/(-1*sqrt(891)*5*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2205 = 13*v - 15*v, 0 = -3*p + v + 1322. Which is smaller: p or 437?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.407021251 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40.4 - 38.4. Put v, -0.5, 3 in descending order.\nAnswer: 3, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -100*t + 70*t + 30*t + 40*t**2. Let y(q) = q**2 - 3*q. Give b(y(k)).\nAnswer: 40*k**4 - 240*k**3 + 360*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 12*y**4 - 68*y + 2 + 18*y**4 + 69*y - y**2 - 32*y**4 + 11*y**3 as d*y**3 + q*y + l + f*y**4 + v*y**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -16*u**3 + 19*u**2 - 18*u - 26. Give p(2).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 14 = -1, -3*o + 5*t + 169 = 0. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 66400?\nAnswer: 1\/16600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3325161?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 10484 = 3761. What is the highest common factor of 83 and k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l + 9. Let v be i(6). Let j = -2 - v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 0 - 8\/(-1). Suppose -27*l + 280 = -22*l. What is the greatest common factor of l and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -1)\/(-452 + 454). Let d = 8529\/29 - 294. Is i less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3860, 48, -1.\nAnswer: -1, 48, 3860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3472377 and 1695?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2242155 is divided by 21768.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10511*i**2 - 2*i - 2522. Let v(c) = 5256*c**2 + c + 1287. Let j(g) = -4*d(g) - 7*v(g). Find the second derivative of j(y) wrt y.\nAnswer: 10504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 12\/31, -2.\nAnswer: -2, 12\/31, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -2*q + 2 + 19, q = 2*k - 3. Suppose -2*p - 19 = 5*m, 0 = -0*p + k*p + 5*m + 16. Solve p*s + 6*l = 4*l - 17, -l - 19 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 16*c**2 + 63*c + 4. Let a be d(9). Solve 0 = 3*x - a*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 234842967 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 6*p - 4*p + 5*i, -5*p = -4*i - 130. Let d = 35 - p. Let f = -9 + d. Solve f + 10 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r - 117180 + 117384 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27\/20 + -3\/5. Which is the closest to t? (a) -2\/11 (b) 1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-14)\/(-28))\/((-2)\/(-12)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-8) + 2\/(-8). Let v = 3 - y. Let x be (21\/(-35))\/(9\/(-10)). Which is the second smallest value? (a) 0.4 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204028499*k**5 + 187079098*k**2 wrt k.\nAnswer: 12241709940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j + j**4 - 12*j - 9*j + 26 - 25 + 27*j + 67*j**3 in the form r + p*j**2 + s*j + o*j**3 + y*j**4 and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -138 and 14532.\nAnswer: 14394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**10*g)**(-6)*(g**(-1\/7))**(-18))**17 assuming g is positive.\nAnswer: g**(-7548\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 521 + -257. What is the greatest common factor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*22\/5445*-9\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 9?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*b - 14. Suppose 5424689 = b*n - 15*n. Let i = n + 9224689. What is i rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/7)\/(((n\/(n\/n**(4\/7))*n)\/n)\/n))\/(n\/((n\/(n\/(n\/(n**6\/n)))*n)\/n)*n**6))**(-47) assuming n is positive.\nAnswer: n**(3337\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 31. Suppose 3*y + v = -59, l = -2*y + 4*y + 3*v + 51. Let c = y + 21. Solve 0 = j - c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*t**3 + 587*l**3*t**2 - 216*l*t**3 + t**3 wrt l.\nAnswer: 6*l*t**3 + 3522*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 12:43 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -22. Suppose -4*q = -16 - d. Is (q\/4)\/1*14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 5*w. Let o be v(-4). Let m = o + 22. Does 33 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5580.3 - -5348. Let h = l - -113.7. Let i = -131 - h. What is i rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18786 (b) 0.2 (c) 8\/589\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 734 (base 9) in base 11?\nAnswer: 4a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsssrrrrrllllllrllls. Give prob of sequence slsr.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:00 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -0.2 (c) 0 (d) 828\/25 (e) 0.5 (f) 8 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obbbbbfbnsbb. Give prob of picking 1 b and 1 s.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7109433 is divided by 422.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 697.7 + -693.7. Sort w, -2, 5\/3, -1, -5 in descending order.\nAnswer: w, 5\/3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 13*z**3 - 32*z**3 + 17*z**3 + 11*z**3 - 8*z - 5*z.\nAnswer: 2*z**3 - 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**7\/210 + 393*p**5\/20 - 1157*p**4\/12 + 2836*p**2. What is the second derivative of g(i) wrt i?\nAnswer: 12*i**2 + 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/66 and 1\/9*(-5 + 22\/4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -693, -2757, -6195, -11007?\n\"Answer: -687*x**2 - 3*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 34 = 2*v, -2*v - v = 3*d - 33. What is the tens digit of (25 + -1)*(8 - -88)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 5. Let f be 1\/y - (-2)\/8. Suppose r + l - 2 = f, -3*r + 2*l - 2 = -3*l. What is the lowest common multiple of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 + x. Let w be v(1). Let m(z) = z + 8. Let p be m(w). Let i be -1 + (2 - -4 - 4). What is the highest common factor of i and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*t + 695*y + 306 = 690*y, -5*y = 3*t + 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2697, -2699, -2703, -2709, -2717, -2727, -2739?\nAnswer: -2753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 493, 517, 541?\n\"Answer: 24*j + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1110 and 34\/787989?\nAnswer: 7879890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10562510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**7\/14 - 2*g**6\/5 - 9*g**5\/5 + 7202*g. Factor c(f).\nAnswer: 3*f**3*(f - 6)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 9:12 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*((-2457)\/(-42))\/(-39)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3084 divided by -37?\nAnswer: 3084\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26008, -104009, -234008, -416005, -650000, -935993?\nAnswer: -1273984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 11:52 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 8876610?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 8*d - 9*d - 54 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*p**3*u - 61*i*p**3 + 2*i*p + 4*p**3 - 405*p**2*u wrt i?\nAnswer: p**3*u - 61*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/3 - 8*f\/3 - 14 = 0.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - q - 1. Let m = -4 + 6. Let z be k(m). Solve -z*u + 25 = -0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -4*sqrt(117)*-3)\/(sqrt(9) + sqrt(36) + sqrt(108)\/sqrt(3)).\nAnswer: 13*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 3:46 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63717273*o**3 - 18*o**2 - o - 327520?\nAnswer: 382303638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 - 216. Let z be 10\/(-14)*30\/a. Factor 0 + z*j**4 - 4\/7*j - 2\/7*j**2 + 4\/7*j**3.\nAnswer: 2*j*(j - 1)*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29121*q - 7*q**3 + 29121*q - 3*q**3.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(3\/5)*s\/(s*s**(2\/9))*s*s*s**(-7)\/(s\/(s\/s**(-1\/4)))*s**(2\/7)\/(s*s**(1\/7)\/s)*((s*s**1\/s)\/s)**1 assuming s is positive.\nAnswer: s**(-5581\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*t - 10, w - 103*t = -107*t + 10. What is the smallest common multiple of 6134 and w?\nAnswer: 30670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**8*c)\/c)\/(c*c**(-2\/21)*c*c*c*c*c)*c**(-8)\/c*c*(c\/(c*c**(-2\/7)*c))\/c)**14 assuming c is positive.\nAnswer: c**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27950 and 8815?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**0)*y*y*y\/((y*y*(y*y**(-1))\/y)\/y)*y*(y\/(y\/(y*y**(1\/2)*y)))**(2\/75) assuming y is positive.\nAnswer: y**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-120)\/(-70))\/((-4)\/(-574)). Let q = m - 142. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7621 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-4))\/(40\/(-15)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Suppose -x = -3*x + 3*u - w, -4*x = -5*u + 6. Let v be 3\/(-6) + (-310)\/x. Calculate the greatest common factor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13436 (base 7) to base 16.\nAnswer: e45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*a + 41*a + 8 = -39*a + 5*c - 0, 6*c = 24 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -22. Which is bigger: -8 or q?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/5)\/b*b*b**(11\/4)*(((b\/b**(-1\/2))\/b)\/b)**(5\/11) assuming b is positive.\nAnswer: b**(423\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2853*h + h**3 - 3005*h - 1719*h.\nAnswer: h**3 - 7577*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + 4 + -1 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4025464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-2*sqrt(228))\/sqrt(12))**2 + -2.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exxqqeqqxqqqqqxwwqw. What is prob of picking 1 w, 1 e, and 2 q?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1008 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54 times 16791.8?\nAnswer: 9067.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 127907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**8\/336 - 4*z**7\/105 + 7*z**6\/120 + 43*z**5\/30 - 13*z**4\/2 + 12*z**3 + 2*z**2 - 30. Factor x(s).\nAnswer: -(s - 2)*(s - 1)**2*(s + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u**2 - 1. Let x = -852 - -862. What is the least common multiple of o(-1) and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -78, 0, -2 in ascending order.\nAnswer: -78, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.03 + 381.97. Let p = x - 381.26. What is p rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 29 = -g - 82, -5*f + 3*g = -75. Let x(o) = -o**3 + 12*o**2 - o + 14. Let b be x(f). Solve b*z + z = 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 430 + 418. Solve -h*n = -5*f + 33, -n - f - 19 = -4*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/(-7) - 4\/14. Let k be -3 + (-51)\/45 + 4. What is the nearest to k in q, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.411228345 - 0.311216245. Let l = a + -23.1. Round l to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190.715154+1.4\nAnswer: -189.315154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -317) + -1 + -5 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14824 + -296563\/20. Calculate the common denominator of 17\/10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhpph.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 1:27 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691721?\nAnswer: 691721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + n + 1 + 75*n**3 + 1.\nAnswer: 75*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*y + 2273530 = -2*s, -3*s = 2*y + 1364118. Let r be 2845294\/3*(-9 - -6). Let f = r + s. Round f to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0*u**3 + 1\/270*u**5 - 2*u - u**2 + 1\/54*u**4 + 0. Let b(a) be the first derivative of o(a). Find x, given that b(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**3 - 153*k**2 + 75*k + 424. Determine f(30).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1560 - -1683. What is the highest common divisor of 41 and h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174 - -177. Solve -d - 8 = -n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 858*v**5 + 24*v**2 + 2117*v + 11 wrt v?\nAnswer: 17160*v**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*k + 15, 25129*k - 25128*k - 2*p = -10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91676 divided by -7012.\nAnswer: -22919\/1753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 11:48 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 473132*w**3 - 195762384*w**2 - 27009952848*w - 1242336939696.\nAnswer: -(w + 138)**3*(w + 472718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-6)\/(-4)) - 3. Let o(q) = -78*q**2 + 4*q - 75*q**2 + 6 + 155*q**2. What are the prime factors of o(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a - 1. Let d(q) = -2*q**2 + 2*q + 2. Let b = -172 + 177. Let c(n) = n**3 + 6*n**2 + 3*n - 7. Let k be c(-5). What is b*y(v) + k*d(v)?\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let v(k) = -3. Let i(y) = -y - 2. Let n(b) = -3*i(b) + 2*v(b). Determine a(n(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 198458.183 rounded to the nearest ten?\nAnswer: 198460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Let b(r) = 34339*r**2 + 102*r. What is u(b(n))?\nAnswer: -68678*n**2 - 204*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4284 divided by 612?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h - 11. Let m(f) = -f + 7. Let l(a) = 2*d(a) + 10*m(a). Give l(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 10*q**2. Let h be u(10). Let d = h + 2. Calculate the remainder when 3 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by 1791504?\nAnswer: -25\/298584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 19*s - 797. Let f be q(42). Solve 2*p + 2 = 3*z, 13*z - 10*z - f = p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12827, -12820, -12809, -12794, -12775, -12752, -12725?\nAnswer: -12694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/8353 + -60649\/9096417. What is the common denominator of j and 64\/605?\nAnswer: 5445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**3*j**2*p**2*u + f**3*j - 2*f**3*p**2*u + 2*f**3*p*u + 2795*f**2*j**2*u + 2*f**2*j*u + p**2*u - 45*p wrt j?\nAnswer: -8*f**3*p**2*u + 5590*f**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (1 - -5) - 7) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*u + 98, m + 5*u - 67 = 36. Suppose 2*b - 5*b + m = 0. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 3)*(3*a - 9 + 14*a**2 + 19 - 9).\nAnswer: 84*a**2 + 18*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Let k(s) = 2*s + 11. Let g be k(-4). Let y(h) be the third derivative of 0*h + 5*h**2 + 0 - 17\/24*h**4 + 0*h**g. Give y(i(p)).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.7 or 65924?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9781284062269 + 9781284062269 - 6*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, g: 3}. What is prob of picking 1 g and 2 q?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q*y**2 - 7*q*y - 896*y**2 + 43*y - 1 wrt y.\nAnswer: 4*q - 1792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3\/43, -0.1, 0, -32, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-2)\/1 + 0. Solve p + 1 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/50)\/(12*(-2)\/(-16)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 258668 - 637099313\/2463. What is the common denominator of x and 55\/24?\nAnswer: 19704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 7 - 4) + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 - 95*s**3 + 335*s**2 + 975*s + 540 = 0.\nAnswer: -1, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-6 + 2 + 1) - (3 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -5*w - 180. Calculate the remainder when w is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(126)\/(sqrt(42)\/sqrt(6)))\/(sqrt(108)\/sqrt(300)))**2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3\/3 - 52312*x**2\/3 - 156894*x - 313764 = 0.\nAnswer: -26147, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 16*q + 60. Let o be a(11). Suppose o*n - 331 = -111. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 17)*(-r - 3*r + 3*r) + (-r + 0*r + 0*r)*(-49 - 68 - 85).\nAnswer: 216*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 22, -42, -4, 7, 1.\nAnswer: -42, -4, -2, -1, 1, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 89*k - 41 = 94*k, -r + 11 = -3*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 34 (c) 1\/33082 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, -2\/105, 5, -0.131, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553840133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 + 109. Suppose 4*y + 5*o - 576 = 0, q*o = 3*y - 2*y - 161. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l + 88. Let s be w(13). Suppose -11*o = -s*o - 12. Solve o = -6*m + 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4440282158 to the nearest integer?\nAnswer: 66635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k + 100 = 7*u + 52, -12 = -4*k + 4*u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8446864 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k + 2*k + 2*k + (3*k - 2 + 2)*(1 + 3 - 5 + (1 + 1 - 5)*(0 - 4 + 3)) to the form p + y*k and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*l = -2*u - 1, 2*u - 5*l = 1. Suppose -t + u*t = 414. Suppose -3*a + t = 3*o, o + a = -3*o + 276. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.74968 millilitres to litres.\nAnswer: 0.03574968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**8\/448 + v**7\/56 - v**6\/16 + v**5\/8 - 5*v**4\/32 + v**3\/8 + 2*v**2. Find q such that u(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -3 - ((6 + -5 - 0) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/((i**(-4\/5)\/i)\/i))\/(i**(-4\/9)\/(i\/(i\/(i\/(i\/(i\/i**6)*i*i)))))*((i\/(i*i**5)*i)\/(i\/i**(-3)))**(-21\/5) assuming i is positive.\nAnswer: i**(1433\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*r + 21*r + 85*r + 2190 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4056 - 0.1056. Which is the smallest value? (a) -5 (b) -16\/11 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -84.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*q + 13*q + 81. Suppose 11*d - 708 + q = 0. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = -6*w + 5*z, 804*w + 5*z - 71 = 806*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60023039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + 0. Let s(y) = 9608*y + 19217. Let u be s(-2). Which is the nearest to v? (a) 2 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 - 219. Let v = -3 - -10. Suppose -2*a + q = -v. What is the remainder when a is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000104055 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a - 113 - 37. Let o(u) be the second derivative of -2\/15*u**3 + 1\/10*u**4 - 1\/75*u**a + 0*u**2 + 0*u**5 + 0 - 2*u. Let o(n) = 0. Calculate n.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 8*h + 2. Let o(k) = -2*k**2 + 17*k - 3. Let d(a) = 5*j(a) + 2*o(a). Let z be d(-6). Suppose 5*y = y + z. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20696 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/12*27\/(-18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 12385180\/19 and 651853 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 2dbc8?\nAnswer: -2dbcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -54, -50, -32, 6?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*i + 5*m, 5*i + 2*m = 9*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n - 14*n + (3 - 5 + 1)*(n - 5*n + 5*n))*(2*n - 2*n - 3*n).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 28*c + 25. Let k(v) = 7*v + 6. Let i(n) = 9*k(n) - 2*s(n). Let m(p) = -21*p - 12. Let b(u) = 7*i(u) + 2*m(u). Is b(8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -522, -1109, -1696, -2283, -2870, -3457?\n\"Answer: -587*w + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - c + 2408 = 5*w, w - 472 = 3*c. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35800.089 and -0.18?\nAnswer: 35800.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*f = 3829*f + 30169 - 140097 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 73896720 - 69629\nAnswer: 73827091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 62*2\/(-4) + 2. Let f = j + 27. Let i(p) = -75*p - 7. Is i(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09327 times -6\nAnswer: -0.55962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 + 10*j - 44. Give y(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70\/(-21)*21\/(-2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103\/36 + 127\/9. Let f = -942 + 1386. Let d = f - 905\/2. Find the common denominator of c and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f = 8024 + 7598 + 3997. List the prime factors of f.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3308516 - 1?\nAnswer: 3308515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 45 = 4*t. Let q = 12 - t. Suppose 2*r + 2*r = -q*z - 24, 5*z + 17 = r. Sort 0, -1, r in ascending order.\nAnswer: r, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/60 - 2*u**2. Let q(h) = -15*h + 15*h + 2*h**2. Give q(l(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -4 (c) -3\/8 (d) 0.05 (e) 1.8207\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/7 (b) 1 (c) 7 (d) -11\/5 (e) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96593 in -3.9, -1\/2, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202132 (base 4) to base 6.\nAnswer: 45102","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Find the common denominator of 71\/878 and -27\/3592484.\nAnswer: 1577100476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4394 is divided by 371?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 76. Let p = o + -44. Let m = 6.9 + -7.3. What is the second smallest value in -4\/5, 2\/3, m, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2)\/(-3))\/((-14501)\/7677)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162349 is divided by 460.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212213776.\nAnswer: 2, 283, 46867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-10)*1560\/(-936)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 20*f**2 + 1424*f - 4. Let u(j) = 9*j**2 + 714*j - 2. What is 3*m(l) - 7*u(l)?\nAnswer: -3*l**2 - 726*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 21 = -j. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -13 - (0 + 8 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-21) - 60\/14. Let v(c) = c**3 + 3*c**2 - 4*c + 2. Let l be v(o). Suppose l*r + 18 = 3*r. Solve 0 = 2*u + 5*q + r, -5*u + 4*q - 7 = 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 1:38 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 225.1646 to the nearest integer.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 6*j**2 - 5*j - 5. What is a(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2213 + 2215)*12\/(-38)\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13. Let r(f) = f - 1. Let w(o) = q(o) - 3*r(o). What is the remainder when w(-9) is divided by (6\/(-4) + 0)*336\/(-126)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 29*l + 48. Calculate k(-7).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -964 - -982. Solve 28 = 5*u + l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6439 - 4528. Suppose 10*b = 3*b + n. Does 39 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6412346, -51298723, -173133166, -410389709, -801542386, -1385065231, -2199432278?\nAnswer: -3283117561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k - 3 + k - 2*k + 3*k. Let j be m(-3). Suppose -t - 7795 = -5*l - j*t, 5*l + 4*t - 7795 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -5. Suppose 13*h + 3*a = 12*h - 8, -h = -5*a + 8. What is the fourth biggest value in j, 1, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 65101.17mg?\nAnswer: 65101170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -467382462318 - 160.\nAnswer: -467382462478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290130974 is divided by 1264.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 44018.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/61 and 163\/198.\nAnswer: 12078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -615.9 and -0.42.\nAnswer: 258.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 6 + (-3 + 4 - 3)*(0 + 0 - 2) - 4 - 1 + 6 - 3 - 1 + 2)*(-15*i**2 - 2*i**2 - 18*i**2).\nAnswer: -245*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 0*f + 21\/20*f**5 + 0*f**3 + 0 + 52*f**2 + 7\/3*f**4. Find the second derivative of m(k) wrt k.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 j when four letters picked without replacement from {j: 16, c: 4}.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2251*i**2 + 4 + 3143*i**2 - 6 + 0. Let t(y) = -y. Give t(a(u)).\nAnswer: -5394*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -45db67?\nAnswer: 45db62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 + 3*r + 2. Let v be a(-2). Let k be v\/6*(-9 - -6 - -9). Let s be 20\/(-40) - (-30)\/k. Solve 5*z = -4*p - 45, s*p = 3*z + 3*p - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 418, 492, 568, 646?\n\"Answer: b**2 + 71*b + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 500, 1147, 2004, 3059, 4300?\nAnswer: 5715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 185384\/5 + -2224603\/60. Factor -1\/6 + h*n + 1\/12*n**2.\nAnswer: (n - 1)*(n + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 3*a = 2*o - a + 2 + 636, -o = -2*a + 58 for o.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 29*x + 114. Let w be k(-5). Is w > 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-51)*42)\/(58\/(-68527)*-139)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5728852 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 8) to base 15\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/35)\/(2\/14) + (4 - -1). Solve 4*w + 29 = -3*a + 23, 2*a = -4*w - y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 770\/16*(-224)\/(-392) - 27?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*h - 0*h - 21, -5*a - 5*h + 30 = 0. Suppose z - a = -1. Let t(j) = -j**3 - j**2 + 2. Let i be t(0). Sort z, -5, i in ascending order.\nAnswer: -5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*-1)\/sqrt(243).\nAnswer: -10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r - 17. Let b be u(-5). Suppose 2*i + b*j - 39 = 0, j - 64 - 40 = -5*i. Let c = -27 + i. Let p(m) = -m**2 - 6*m + 1. What is p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/38947 and 34\/4843?\nAnswer: 6504149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 8 = -2*j. Suppose -f + j - 8 = 0. Let m = f + 33. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 - 0.6\nAnswer: -53.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1775689 divided by -2.\nAnswer: 1775689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -6675*t**4 - 575340*t**3 - 110931*t**2 + 774*t = 0.\nAnswer: -86, -1\/5, 0, 3\/445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7021 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 14*b**2 - 49*b - 15. What is the least common multiple of d(17) and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3103197259 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 657*r. Let n(y) = 3495*y. Determine h(n(w)).\nAnswer: 2296215*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 5*q**2 + 14*q + 8. Let r be y(-10). Round r to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:20 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*1*1)\/sqrt(5) + -3.\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14280 - 59?\nAnswer: -14329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 57 = -4*x + 9*x, -3*u + 2*x = -66. What is the least common multiple of 728\/24 + (-5)\/(-3) and u?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 + 7*g + 10. Let l(p) = -6*p**2 + 8*p + 10. Let i(n) = 4*l(n) - 5*z(n). What is the units digit of i(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 1)*(-6 + 6 + 4 + 2*l)*(-988 - 94 + 123).\nAnswer: 11508*l + 23016","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/10)\/z**(3\/4))**(-5)*(z**(1\/2)\/(z*z**(-2\/19)))\/((z\/(z**(1\/2)*z))\/z)**13 assuming z is positive.\nAnswer: z**(1851\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -298135 - -3?\nAnswer: -298132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60733 is divided by 191?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/28 - 4\/14.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 7:13 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/20 - 2*i**4\/3 - i. Let z be m(-8). Solve -4*w = -3*x + 3, z = w - 3 + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064 is divided by 148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -3 (b) -43 (c) 5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 - 281. Let h be 51\/24 - f\/(-16). Sort 1, 32, -1, h in decreasing order.\nAnswer: 32, h, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 = 28. Let c(u) be the third derivative of u**5\/60 + 2*u**4\/3 + 5*u**3\/6 + 2*u**2. Let m be c(k). Let l(w) = -w - 2. Determine l(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357990337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 91872.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.85 + 3. Let z = j + -0.45. Let x(o) = o**3 - 5*o**2 + 4*o + 4. Let h be x(4). Which is the nearest to -0.2? (a) -0.5 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(42\/112)*((-162)\/(-8))\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/879168 and 121\/67032.\nAnswer: 129237696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 136\/3*(-1 + 33\/6). Let p = u - 98. Calculate the remainder when p is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3 - j. Let s(c) be the first derivative of c**3\/3 + 1. Determine g(s(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 2*a + 23 + 6 - 17 in the form u*a + w and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77010 divided by 5.\nAnswer: -15402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4, -3*c + 2*b + 58 = b. Suppose h = -0*h + 2*a + 10, 0 = 3*h + 4*a + c. Is h smaller than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312308 - 3*l**3 + 312312 + 312311 + 10*l**3 - 936931.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*u - 12, 0 = -4*u - 53*q + 54*q - 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102347 - 50082. Suppose 0 = -5*q - 4*n + g, -4*q + 16966 + 24846 = 4*n. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*v + 42 = -247*v. Let o(g) = 3*g + 4*g - 8*g + 21. Let i(q) = 4. Let j(l) = -11*i(l) + 2*o(l). Determine j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 11*p**2 + 5*p + 1. Suppose 0 = -t - 5*v - 24, 3*t + 5*v + 13 = -29. Is n(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1366 (base 7) in base 13?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1483*g**4*w - 22*g**3*w**2 + 5*g**3 + 1320876*g**2*w**2 + 3*g*w wrt g?\nAnswer: -35592*g*w - 132*w**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14529 - 130765\/9. Which is the third biggest value? (a) i (b) -1 (c) 0.07 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o. Let y(a) = 2*a - 13. Calculate r(y(p)).\nAnswer: 18*p - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/2, 4.2, 3\/4, -5.27, 0.33, -1, -1\/3?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 4*b**3 + 3*b**3 + b - 1 + 3. Let o be n(0). Suppose o*u - 24 = u. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/18426712 and -55\/328?\nAnswer: 18426712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 + 3*b + 2. Let k(i) = i**3 + 7*i**2 + 152*i + 879. Let u be k(-6). What is a(u)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 41*j - 332. What is u(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttvt when four letters picked without replacement from {t: 8, v: 2, b: 2, y: 3}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -579?\nAnswer: 4\/579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17483 + 4706. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y + 4. Let g(m) = -5*m - 3. Let a(v) = -5*g(v) - 4*o(v). Let t(q) be the first derivative of -2*q**2 + 5*q - 456. Determine 9*a(d) + 2*t(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/35 or 7?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2*g**2 + 6*g - 6. Let c be z(3). Suppose -3*f + 7*l + 1319 = c*l, 0 = f - 4*l - 429. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*s = -77*s + 257. Let x = s + 135. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21457?\nAnswer: 43, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 11:58 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.78 - -0.22. Let n = 6 - m. Let c = 81.1 - 81. What is the closest to 1 in n, c, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6*s - s - 15, -2*b + 4*s = 14. Let z = 3 + b. Solve -z*i - 8 = -0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**(-3)\/g)\/g*g)\/g**(-2\/3))\/(g**(2\/5)*(g*g**(2\/3))\/g*g))**(-6))**(-18) assuming g is positive.\nAnswer: g**(-2916\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**3 - 2*y**2 + 2*y + 3. Let f be c(-1). Suppose -5*s - 5*m + 40 = 0, -4*s - f*m + 42 = 9. Solve -3*w + s = 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11210.228 to the nearest integer.\nAnswer: 11210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241\/868 + 1\/124. Let j = 1\/360 - -119\/360. Which is the nearest to 0? (a) -1 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5355 (base 8) to base 16.\nAnswer: aed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (130 - 3053)*(-1*2)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1069543617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -32*f**2 - 8*f + 230. Let a(x) = -59*x**2 - 15*x + 460. Give -6*a(o) + 11*k(o).\nAnswer: 2*o**2 + 2*o - 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 0, 32, 1, -4 in decreasing order.\nAnswer: 109, 32, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - (-7)\/(-1))\/(-3 - -1). Suppose v + 51 = 3*w - r*w, -v - 17 = -w. What is the second derivative of w*j + 9*j + 27*j**2 + 3*j**2 wrt j?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j - 69. Let m(h) = -6*h + 71. Let x(c) = 3*m(c) + 4*p(c). Let f be x(7). Solve 0 = 8*r - f*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-475)\/(-4)*(-2524)\/(-1003290) and (-1)\/16*(-87 - 2).\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + d)*(-12*d**2 - 337*d**3 + 1 - d - 229*d**3 + 565*d**3).\nAnswer: -d**4 - 12*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o + 39*o - 9*o - 16*o. Let m(n) = 11*n**2 + 2*n + 2. Let b(f) = 297*f**2 + 55*f + 55. Let w(j) = -2*b(j) + 55*m(j). Calculate i(w(a)).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1068625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3965646 divided by 1\nAnswer: 3965646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(3\/7)))**34\/((j\/j**(-6)*j)\/(j**(-3\/5)\/j*j*j)) assuming j is positive.\nAnswer: j**(-776\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050620 = 3*l + 5*u, -69*l - 1400804 = -73*l - u. What is l rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6)*960\/1152)\/(1\/9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 961.9 - 962. What is the closest to -2\/75 in 0, p, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1362 or -33827?\nAnswer: -33827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h - 12*h - 9*h + 56.\nAnswer: -5*h + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i + u + 255, -5*i = -2*u - 321. Suppose -i = -5*r - 3. List the prime factors of r\/10*210\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 6 - (38 + -37).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 8*u - 20. Let v(t) = -t**2 - 6*t + 10. Let s be v(-5). Solve s = -a - u*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 16 = -20*v. Suppose -4*b - 1804 = -4*j, v*j - b - 1804 = -2*b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 2, -508, 5 in increasing order.\nAnswer: -508, -5, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 2 - 1 - 3. Suppose 0 = 3*n + 1 - 10. Suppose 3*r - n*s - 18 = -r, -5*r - 4*s + 7 = 0. Put -5, r, x in descending order.\nAnswer: r, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234 or -233?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -607*k**3 + 2*k**2 - k - 2. Let r be h(-2). Let z = -33\/757 - -14798725\/3028. Let c = r - z. Calculate the common denominator of c and 76\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 69\/18 - 1\/(-6). Suppose z = -k*z. Differentiate -3*s + s + 2 + z*s with respect to s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12755225?\nAnswer: 5, 7, 23, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/264894 and 3\/2011933.\nAnswer: 84501186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 - 103*w - 900. Calculate l(21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 5*p**2\/2 + 14*p + 2. Is z(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 26. Suppose -5*o + 38 = 5*k - 67, -3*o + k + 59 = 0. Solve 0 = -5*q - t*q - o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506959979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1104\nAnswer: 1\/552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*b + 6 + 2 = 0, -28 = -v + 5*b. Solve 2*w + 6 = 4*q, w = 2*q + v*q - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 10:18 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 178*c**2 - 1195*c - 86829. Calculate m(-174).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-180) + (-2)\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 17*b**3 + 14*b - 21. Let o(m) = -7*m**3 - 6*m + 10. What is -3*f(w) - 7*o(w)?\nAnswer: -2*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-530)\/2)\/(4\/2700*-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**5\/(j*j**(-11))*(j\/((j\/j**(2\/19))\/j))\/j*j\/(j*j**11))**(-21))**45 assuming j is positive.\nAnswer: j**(-73710\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 7 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 2208?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 109182 and 103.\nAnswer: 11245746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 341 and 8897?\nAnswer: 97867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 7*o + 15. Let r be v(4). Let m(w) be the second derivative of 0 + 0*w**2 + 0*w**4 + w - 1\/30*w**5 + 0*w**r + 1\/45*w**6. Factor m(p).\nAnswer: 2*p**3*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {o: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 783, -0.6, 2, -19, -2\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12933 - 12933.1. Which is the closest to r? (a) -4 (b) 0.24 (c) 0 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 80*b**3 - 651*b**2 + 100*b - 108. Determine f(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i*i**(1\/5))**(-2\/51) assuming i is positive.\nAnswer: i**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -138, -262, -436, -660?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.12, -26, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -243 + -4?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 66. Let w be (-2)\/(-9) + s\/36. What is the common denominator of 45\/2 and 2\/2 - ((-238)\/(-12) - w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14098)\/477)\/(-133) + (-449)\/198 + 2)\/(-2).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2900 - -2878. Is -116\/5 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -39.9. Let v = g - -1.3. What is the nearest to -1\/2 in -2\/3, v, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 78 = -5*k. Let y = k - -17. Solve -8 = -h - v + y*v, -3*v - 20 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 717 = m + 760, -4*o + 3*m + 5907 = 0. Let b be o\/21 + 2\/(-7). What is the tens digit of b\/(-4)*36\/(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/12 + 6*f. Suppose -2*v + 2*w + 16 = -4, -v = -4*w - 25. Let k(b) = -v*b + 5*b + 4*b + 4*b. What is k(g(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**23*x**(-22) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 10*i - 246. Sort i, -2, -4, 4, 165 in increasing order.\nAnswer: -4, -2, 4, i, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 876, 6985, 23480, 55527, 108292, 186941, 296640?\n\"Answer: 861*s**3 + 27*s**2 + s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -4, 125, 22, -1 in ascending order.\nAnswer: -4, -1, 2, 4, 22, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (8 + -14)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -13533, 0.5 in ascending order.\nAnswer: -13533, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (264\/9)\/(6\/(-117)). Let m = -8428 + q. What is m rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -472.6 - -450.6. Let v = -21.522 - 0.378. Let w = v - h. Which is the closest to w? (a) -0.2 (b) -3\/5 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 130176414 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1028)\/52 - 603\/2613.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f + 34 - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214524?\nAnswer: 2, 3, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -706 + 707. Which is bigger: 8\/95 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -17*z**5\/30 - 119*z**4\/24 + 60*z**2. Find the second derivative of k(a) wrt a.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1838548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.112243487 - 129.112156487. Let x = y - -129. What is x rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:07 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -13. Let b(a) = -a**3 + a**2 - a + 1. Let m be b(1). Suppose m = -2*y - 3 + 29. Solve 2*j + 3*u = y, -4*j + c = -2*j - u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 30 + -8 + 1 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 2:37 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -3\/8 (b) -5 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3262 is divided by 1075?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1792 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 7*t + 10. Let y = 331 + -323. Suppose -4 + 2 = d. Let b be d - (y\/2 - -1). Give k(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 10*u + 120, -a - 5 + 46 = -3*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-21) - (-40)\/15. Sort 4.7, q, -3 in ascending order.\nAnswer: -3, q, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c\/(c\/(c**(-1\/19)*c)*c))\/c)*c*c**(-29)*(c\/((c**(-1\/2)*c)\/c))\/c*c*c*c*c**(-34))**37 assuming c is positive.\nAnswer: c**(-77959\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54\/(-42) - (-41664)\/392. Solve -48 = g*v - 81*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91991 and -0.5.\nAnswer: -45995.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -256 - -273.7. Let z = a + -18. Let v = -86\/45 + 16\/9. Sort v, 5, z in descending order.\nAnswer: 5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.66 + -0.14. Let y = q - -2. Let k = y + -0.2. Put k, 2\/11, 4 in increasing order.\nAnswer: k, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -907\/6 - -152. Let n(a) = 12*a + 421. Let x be n(-28). Let m be 1\/(-1)*(-87 + x). Which is greater: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2102 * -3.\nAnswer: 6306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*y - 50, -n + 2*y = -y + 8. Let l = 17 - 19. What is the lowest common multiple of n and l\/9 + 520\/72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 2:53 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c - 8*c - 10*c - 10*c + 30*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 3271*b - 19. Determine a(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/503?\nAnswer: -4\/503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 1 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494.082 hours to nanoseconds.\nAnswer: 1778695200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Let u(l) = -11110*l**2. What is u(m(t))?\nAnswer: -44440*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 3*r + 5. Let g be t(5). Let n be 16\/10 - (-24)\/60. Let p be n\/(-28) - 45\/105. What is the closest to 0.1 in g, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -f + 583. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*j - v + 4, v = -2*j + 11. Let b(f) = -5*f + 3*f + j*f**2 + 0 + 4 + f**2. Is b(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2368634445.\nAnswer: 3, 5, 52636321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 664*f**2 - 5 - 335*f**2 - 330*f**2 + 2*f. Give i(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1359, -484, 981, 3042, 5705, 8976, 12861?\n\"Answer: w**3 + 289*w**2 + w - 1650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.641021 hours in seconds?\nAnswer: 27507.6756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(480))\/sqrt(8))\/(5*-1*sqrt(12) - sqrt(12)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 17310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 2*r**2 + 3*r + 3. Let g be m(-1). Solve 33*t - g = -34 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(432))\/(3*sqrt(576)))**2 + ((sqrt(210)\/(sqrt(42)\/sqrt(6)))\/(sqrt(80)\/sqrt(32)))**2.\nAnswer: 169\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 355, 494, 633?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(441) - sqrt(441))*3)\/(sqrt(63)\/(-2*sqrt(9))))\/((-5*2*sqrt(81) - sqrt(81))\/(2*-2*sqrt(9))).\nAnswer: 48*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - 1. Let i be u(-1). Let l be (0 - (0 + 1))*-29. Suppose l + 46 = i*y. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1896 is divided by 304.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, y: 2, o: 3, c: 2}. What is prob of sequence boy?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/((-4320)\/(-520)))\/(-13).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 5:46 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 8*s**2 + 8079. Let d(y) = -41*y**2 + 13. What is d(x(m))?\nAnswer: -10496*m**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1)\/(-3 + 4). Suppose 14*h - 234 = h. Let a be (-3)\/(h\/(-12)) + 1. Solve a*w - 9 = -t*w - 3*x, 12 = -2*w + 4*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10782350 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -4, 447, 318 in increasing order.\nAnswer: -4, -2, -1, 318, 447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25395, -25393, -25391, -25389?\n\"Answer: 2*a - 25397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z. Let u(v) = -72*v - 6 + 2 + 9 + 71*v - 3. What is u(b(w))?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -22 + 339*t - 326*t - 32. Is h(16) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33957368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 26*k + 39. Let w(c) = -11*c - 15. Let f(z) = -3*r(z) - 7*w(z). What is f(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**7\/105 - i**5\/15 + i**3\/3 + 3*i**2 + 1. Let a(f) be the second derivative of n(f). Factor a(h).\nAnswer: 2*(h - 1)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 + 150. Suppose -2*h - 4*z + 9 = -11, -40 = -i*h - 2*z. Solve -7*j + 2*j = h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3\/6 + 11*x. Let g(d) = 15*d**2. Determine g(z(r)).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -233553*g + 807*g**2 - 235012*g + 1633*g**2 + 462144*g wrt g?\nAnswer: 4880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-8) + (-3)\/6 + -2. Let c(m) = -3*m + 5. Let d(f) = f + 1. Let t(q) = v*d(q) - c(q). Suppose 3*r - 23 = 4*b, r + 3*r - 22 = b. Determine t(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2216808, -4433616, -6650424, -8867232?\nAnswer: -11084040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5037*u**3 + 10096 wrt u?\nAnswer: 15111*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -114 and -17278\/153 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**2\/2 + 3*i - 4. What are the prime factors of c(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 28.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 10*l - 11. Let x be s(-8). Let n = x - -20. Let u = n + 10. Let t(i) = i**2 - 1. Let w(h) = h**2 + h - 5. Give u*t(g) - w(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6650 + -6637.322. Let t = -0.178 + u. What is t rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 268706\/17 - 15798. Is 8 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 19*d - 125. Calculate k(11).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -19.44243?\nAnswer: -19.24243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/11)*t**(10\/11))\/(t**(2\/7))**19 assuming t is positive.\nAnswer: t**(-369\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:26 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s + 4. Let x(a) be the first derivative of 7*a**2 - 3*a - 71. What is -2*o(n) - 3*x(n)?\nAnswer: -12*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16*r**3 - 2*r**2 + 2*r + 2. Let v be c(-1). Solve 3*a = -l - v, 5*l - 11*a + 6 = -10*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4117 - -4114. Let q = 50 + -207\/4. Which is the closest to -1? (a) d (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -101*j - 65. Let t be p(-19). Suppose -4*f = t - 574. What is f rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 64, 158, 290, 460?\n\"Answer: 19*b**2 - b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lli when three letters picked without replacement from {i: 7, l: 4}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 3*u + 123, 2*u - u + 6*u = 4*z + 23*u + 67 - 171 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/4*(-952)\/1190. Sort -3\/4, -2\/5, -4\/21, y.\nAnswer: -3\/4, -2\/5, -4\/21, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:54 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 2 - 2 - 4)*(21*p - 47*p + 23*p) to u*p + q and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -4 (c) -678\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmpmpmpp. What is prob of picking 3 p?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a (base 13) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-51)*56814\/10026.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/36200, 4, 2\/15 in ascending order.\nAnswer: -3\/36200, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 5. Let c = g + 6. Let u be (-4)\/6 - 7\/63*39. What is the second smallest value in c, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166169281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5 - 110*h**4 + 526*h**3 - 956*h**2 + 712*h - 176 = 0. Calculate h.\nAnswer: 1\/2, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = -0*v. Let d = v + 12. Let w(m) = -7*m - 2*m**2 + m**3 + 0*m**3 - m**2 + 6. Give w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3564\/27)\/((-1221)\/(-888))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 541292592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242*(-2)\/132 + (8\/(-6))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1458 (b) -4 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, and 1 t when three letters picked without replacement from qtbftibqidibtbfiq.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2371167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1371, -3, 2\/3, 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 7. Let x(w) = -2*w**2 + 34*w - 21. Let f be x(15). Suppose -3*s - 4*p + 2 = -f, -p + 5 = 0. Let h(u) = u**3 - 4. Determine s*h(z) + 4*n(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -1\/27, -5\/3, 5, 2 in decreasing order.\nAnswer: 5, 2, 4\/5, -1\/27, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-6))\/((-22)\/99))\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 1\/(-1))*-1. Suppose -4*l + 5*l - y = 0. Solve -4*s = k - s + 12, k - l*s - 28 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43834 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -297 (base 13) to base 5.\nAnswer: -3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 4*g. Let x(u) = -70*u**2 - 10*u + 64*u**2 + u. Give 9*i(r) - 4*x(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let t = 384\/5 + -77. Let v be 7\/6 - 20\/30. Which is the third smallest value? (a) p (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6468 and -5.\nAnswer: -8.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v + 226. Suppose -5*m - 2*k - 10 + 166 = 0, 0 = -4*k + 12. What is the tens digit of p(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421707933 to the power of 1\/2, to the nearest integer?\nAnswer: 20536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**4*n**2 + 2*d**4*n + 3157*d**4 + 2*d**2*n**2 + 365*d**2 + 195*d*n**2 wrt d.\nAnswer: -96*d*n**2 + 48*d*n + 75768*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*g - 2*o, -g = o - 2*o. Put 3, 0, g, 1\/8 in increasing order.\nAnswer: g, 0, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -22*o**3 - 5*o**4 - 70*o**2 + 48*o**3 + 19*o**3 = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*s + 18*s + 403*s**3 - 31*s to l*s + u + t*s**3 + k*s**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**5 - 3*h**4 + 3*h**4)*(51 + 14 + 27 + 138).\nAnswer: 460*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256\/7 - ((-696)\/56 + 12).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 117 - 25?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 27. Let k = -56 + p. Let x = 46.961 + k. What is x rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + 2 + 4\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*t + 43 = 0, 29*x - 30*x + 32 = -2*t. Let r = -3 + 2. Put -3, x, -5, r in decreasing order.\nAnswer: x, r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69999?\nAnswer: 3, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 8:15 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h*h**7*h)\/h*(h\/(h*(h*h\/(h*h**12))\/h*h)*h)\/h)**(5\/3))**18)**(2\/23) assuming h is positive.\nAnswer: h**(1260\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(1*sqrt(2)))\/(1*sqrt(108))*-3 - (1 + (-3*sqrt(1300) - (sqrt(13) + 1*sqrt(117)))).\nAnswer: -1 + 67*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 12976377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*((-3*(sqrt(192) + -1) - sqrt(192)) + 3 + (sqrt(192) - (sqrt(192) + 1))))**2.\nAnswer: -184320*sqrt(3) + 1783872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -21.63423?\nAnswer: 21.33423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at least 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 19. Let d be w(-1). Suppose 2928*g + d = 2932*g. Let h = -0.8 + 0.3. Which is the closest to 0? (a) -1 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9954 and -3932965?\nAnswer: 3923011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212020 + -1011021122?\nAnswer: -1012010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by ((-8)\/(-14) - (-12 - -13))*-35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 381 - 0?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1055.4039 months?\nAnswer: 8.7950325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38747982523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1177 - 947 = -36*p. Differentiate -13 + 59*v - 20*v**2 - 14*v**2 - p*v - 32*v**2 wrt v.\nAnswer: -132*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97083657.\nAnswer: 3, 11, 326881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*w + 91. Let t(x) = 1000*x + 3007. What is the remainder when w is divided by t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**4\/2 + 7*c**3 + 7*c**2\/2 - 30*c - 66. Let k be m(-10). Which is bigger: -1\/77 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7389, 7382, 7363, 7326, 7265, 7174, 7047, 6878?\nAnswer: 6661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -4, -57 in descending order.\nAnswer: 3, -2, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 219222356 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137 + 189. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 6 - 6 + 3*a - 4*a - a + (-2*a + 2*a + a)*(3 - 4 - 2))*(193 - 193 - 15*a).\nAnswer: 90*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 53798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(33*((-14)\/(-15) - 25\/25))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 836, 832, 826, 818, 808?\n\"Answer: -i**2 - i + 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-962)\/(-14) + (-4)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 6*t - 8. Suppose -3*g = 12*q - 15*q - 9, 11 = -3*q + g. Let z be y(q). Solve 2*i - 3*b - 10 = 4*i, z = 3*b + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = s + 14, 4*c + 3*s + 2 = 2*c. Let t be (0 + c)*(-3 - -1). Suppose -k + 8500004 = 4*n, t*n + 16999995 = 2*k + 3*n. Round k to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1180, -1258, -1348, -1456, -1588, -1750?\nAnswer: -1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6*(-27 + 18). Sort 0, x, 4 in increasing order.\nAnswer: 0, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 1. Let g be (-2)\/(0 + (-6)\/(-15)). Let a be s(g). Let p be a*(1 - (-2 - -2)). Solve 3*n + 30 = n + p*u, 5*n = -5*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2822 = 67*a + 879. Sort 4, a, -5 in descending order.\nAnswer: a, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, 1 d, and 1 j when four letters picked without replacement from {j: 1, d: 1, z: 1, r: 1, a: 2, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 32\/7 of a week?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*l + 30*l + 1 + 19*l - 3 in the form w + q*l and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 711293465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2692 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 9*o**2 + 28*o - 37. Let u be n(5). Let v be 23\/5 + (-2)\/(-5). Put v, u, 0.2 in decreasing order.\nAnswer: v, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000632 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 i, 1 a, and 1 j when four letters picked without replacement from iicicajiiiilaiaij?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 7*g**2 - 8*g + 5. Let n be k(8). Suppose 3*t = m - 1, -2 = n*t - 3*m + 1. Factor t + 0*x - 1\/2*x**2.\nAnswer: -x**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d - 11 = -16*d + 437 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.0595 litres in millilitres?\nAnswer: 792059.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.93 + -23. Sort 3, -4, u in decreasing order.\nAnswer: 3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 794 divide 44193586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -23\/4*a - 6*a**3 + 17\/2*a**2 + 2*a**4 + 3\/2 - 1\/4*a**5 = 0. What is a?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -17. Let m(t) = t**2 + 9*t - 10. Let a be m(v). Suppose -58 = -3*p + s - a*s, 0 = 3*p - 4*s - 43. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*((-72)\/56)\/((-60)\/630)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*f - 70 = -8*u, -5*f - 29 = -4*u. What is the third derivative of -52*a + u*a**3 + 108*a - 23*a**2 - 53*a wrt a?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/6 + p**3\/3 - 9*p. Let s be g(0). Let o(w) = w**2 + w + 5. Determine o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2)*-2 - 0. Let w be m - 3\/(-12)*2*0. Suppose 0 = 2*s + 3*s - 25. Solve z - 2*i = -s, -3*z - 10 = -w*i + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15793 or -15790?\nAnswer: -15790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 1\/9, 34, -6\/19?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11169 is divided by 151?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 260478925?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46973156.\nAnswer: 2, 29, 404941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1685? (a) -3 (b) 1 (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = -3*m, -5*m + 30 = -y. Which is the nearest to 1? (a) 0.2 (b) y (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3323346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a factor of 109780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 336079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, o: 1, x: 2}. What is prob of sequence xeox?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.75 - -0.75. Which is the closest to 0? (a) -0.1 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 64*y**5 + 12*y**4 - 128*y**3 - 24*y**2 + 64*y + 12 = 0.\nAnswer: -1, -3\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f**2 - 6*f + 16. Let o(w) = -7*w**2 - 4*w + 11. Let g(q) = 5*m(q) - 7*o(q). Give g(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401825101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**3 + 3*x**2 - 3*x**2)*(579 - 210 - 257 - 1 + 1 + 1 + (-2 - 3 + 3)*(3 - 3 - 2)) as s + g*x**2 + q*x + r*x**3 and give r.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10086\/(25 - (-2829)\/(-115)).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 6 + (-2 - 2 + 2)*(3 + 2 - 3))*(0 + q + 0)*(-1485*q**2 - 325*q + 325*q) to the form y*q + c + m*q**3 + p*q**2 and give m.\nAnswer: 8910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -0.4, -102 in increasing order.\nAnswer: -102, -3, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.21527 nanograms in grams?\nAnswer: 0.00000004521527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/117 and 149\/6.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*d + 1325 = -257, 2*d + 1594 = 3*v. Let a(l) = -534*l - 2 + 1057*l - v*l. Give a(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 687711110 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3681971\/4004 - 10116\/11. What is the common denominator of b and 95\/1664?\nAnswer: 11648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81 - 74 - 293 - 236)*((4 + 0 - 1)*(0*d**4 - 3*d**4 + d**4) - 4*d**4 + 2*d**4 + d**4) to r*d**2 + j*d + p + g*d**3 + u*d**4 and give u.\nAnswer: 3654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 5:02 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 7*d**2 + 6*d + 7. Calculate the remainder when 69 is divided by g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**3 + 1975*x**2 + 244360*x + 9010160 = 0 for x.\nAnswer: -164, -67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -390 + 387. Let t = 7 + -3. Let z be -1 + t\/(-10) + 1. Which is the second biggest value? (a) 0.3 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 2. Let j(y) = -y. What is i(d) - 2*j(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*a - 56*a + 262 = -294. Solve a = -3*l + 2*j, -4*j - 1 + 9 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09972 and -138813.\nAnswer: -13842.43236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-2\/17))\/c)\/(c\/(c*c*(((c**(-9)*c*c)\/c)\/c*c)\/c)) assuming c is positive.\nAnswer: c**(-121\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -966, -1033, -1110, -1203, -1318, -1461, -1638, -1855?\nAnswer: -2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*b**3 + 166*b**2\/5 + 4*b\/5.\nAnswer: -2*b*(b - 1)*(85*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -14*x**5\/5 + 71*x**4\/2 - 24*x**3 - 284*x**2 + 512*x + 8625. Find j, given that p(j) = 0.\nAnswer: -2, 1, 2, 64\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4466)\/70 + (-2)\/10. Let f = k + 119. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/10 + i**3\/6 + 2*i. Suppose 0 = 5*s - s - 4. Let b = s - 2. Calculate y(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + -12 + 7 + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - 0.2. Let p = n + 0.6. What is the third biggest value in 2\/9, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9773 + 33867. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-18) + ((-64)\/36 - 1).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/120489 and -22\/23217.\nAnswer: 932464371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdlh when four letters picked without replacement from {d: 1, q: 1, l: 3, b: 1, n: 5, h: 1}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 e when four letters picked without replacement from exxxxxexexe.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)*f**(-1\/4)*f**(-5)*f**3*f)**8 assuming f is positive.\nAnswer: f**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*r**3 + 6*r**3 + 30*r**3.\nAnswer: -51*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -53357696 divided by 112\nAnswer: -476408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 2505*d**2 - 15373*d - 1623. What is v(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-5) + 6\/(-15). Find the first derivative of 3 + 0 + k*g**4 - 4 wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 155, 177, 197, 215?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 5*r - 2, 2*d = -3*r - 4. Let f = d + 7. What is the smallest value in f, 2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 1 (c) -23 (d) 4 (e) -1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 5*w + 22*w - 6*w - 4*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 2*q - 6*q)*(-1 + 6 - 3 + 1 - 2 + 4 + (-3 + 2 + 0)*(-3 + 0 + 2) - 5 + 1 + 2) to h + f*q and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = 15. Suppose 4*w - 42 = -u, w - i + 0 = -3*u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 0*x + 3*x)*(4 + 0 + 0) + 2 - 2 - x + (-3*x + x + 4*x)*(1 + 0 - 3) + 0*x + 0*x + x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -7. Calculate the smallest common multiple of 1 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**2 - 2*x + 2. Let w = -112 - -110. Let r(s) = 217*s**2 - 49*s + 49. Calculate w*r(u) + 49*f(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 5. Let k be 3 + -1 - (-1)\/t. Solve 3*x + k - 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = 2*u - 9, o + 3*u = -6. Suppose 0 = -5*r + 4*z - 34 + 50, -r + 16 = -4*z. Solve o*f + 8 + 4 = r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.2435 - 1.\nAnswer: 4.2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 59.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435 (base 7) in base 10?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 4*j**2. Let n(m) = -3*m**3 - 7*m**2. Suppose -3*c - 33 = -3. Calculate c*d(y) - 6*n(y).\nAnswer: 8*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78170 (base 11) to base 12.\nAnswer: -55705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 - 2*w**5 + 3*w**4 + (0*w**2 + 5*w**2 - 3*w**2)*(0*w**3 - 3*w**3 - 2*w**3) + 5*w**5 - 3*w**5 + 20*w - 17*w.\nAnswer: -10*w**5 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -379, -374, -367, -358, -347?\n\"Answer: r**2 + 2*r - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0 + 2 = 2*n, -3*n = -4*p + 27. Suppose -t + 28 = p*r + t, 2*t = 4*r - 42. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 213.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 1 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*h = 20, -4*h - 3 + 13 = z. Let f(q) = 55*q - 458. Calculate the remainder when f(9) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17044267 (base 8) to base 11\nAnswer: 2259304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 14) to base 5\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 30207 - 9695. Let v = b - -1058. Find the common denominator of 83\/14 and (-4)\/(-10)*v\/264.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4563493308.3 rounded to the nearest 1000000?\nAnswer: 4563000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5627 rounded to the nearest one hundred?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12400\/3 + -4132. Let s = 68 + -477\/7. Which is the fourth smallest value? (a) w (b) 1\/6 (c) -1\/3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 873 - 264. Is (-2 + m)*(14 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-231)\/(-28))\/((-2)\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 25 = -4. Suppose -3*i - q + 1 = 0. Do i and -3\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*w + 87*w - 164*w - 314*w + 12960 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 13) in base 7?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:52 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**5 - 10*x**4 + 15*x**3 + 20*x**2 - 20*x.\nAnswer: -5*x*(x - 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3757103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 - 6*d + 6. Let o(i) = i**2 + 6*i - 5. Let z(q) = -3*o(q) - 2*x(q). Let v be z(6). Let a be 1*(-4 + 0 + 7). Solve -v = 3*t + a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -368 + 368 - 32*g to the form n*g + j and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*o - 11 + 42, -3*o = -15. Suppose i*p = w - 14, -12*p = -13*p - 3. Solve -4*h = 8, -3*a = -0*a + 4*h + w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p - 12*p**2 + 17*p**2 + 64*p - 42*p - 24*p**2 + 40*p**2.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (15\/(-4))\/3*-2264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 261.\nAnswer: -9, -4, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 46, 82, 152, 268, 442, 686?\n\"Answer: 2*u**3 - u**2 + 3*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.1, -783?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (382*x - 873*x + 1 + 392*x)*(-x**2 + 4*x**2 - 6*x**2).\nAnswer: 297*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.05043 and 64.\nAnswer: 67.05043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 267*j - 266*j - 96, 0 = -5*j + 2*l + 48 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -5*r - 210 + 205, -3*r + 40*k - 209 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2500 * -258.\nAnswer: 645000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 10960 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**4\/24 + o**3\/3 + 2*o**2. Let d be j(1). Solve -4*g + 15 = -d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 682889 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2613453.\nAnswer: 3, 191, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)*(a\/a**(-2\/7))\/a)\/((a**(1\/4)*a*a*a)\/(a**(2\/7)*a)) assuming a is positive.\nAnswer: a**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6716042 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(3\/2)\/o)*o**(-4)*o\/(o**(-1\/5)*o)*(o**(-9\/2)*o)\/o*o assuming o is positive.\nAnswer: o**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -1f84919?\nAnswer: -1f8492c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, u: 5, o: 2, i: 1, p: 3}. Give prob of sequence pli.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (22 - 10) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3 + (sqrt(30)\/(sqrt(1000) - (sqrt(1000) + sqrt(1000)*2) - sqrt(10)))**2.\nAnswer: 295\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67.2 - -71.2. Let c = 2434\/1275 - 32\/17. What is the biggest value in 1, c, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*g - 46*g + 1 + 12 + (-11 - 5 - 1)*(g + 2 - 2) + (-3*g + 4 - 4)*(-1 - 1 + 1).\nAnswer: -4*g + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 355203132 (base 6) in base 4?\nAnswer: 121200311000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) - (-4 + sqrt(20)\/sqrt(4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 10. Let g(q) = 2*q - 5. Let s(p) = 5*g(p) - 3*t(p). Suppose -18 = -h + 4*h. Let a be s(h). What is the third smallest value in -0.4, a, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (2 + -14 + 5 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6 and 53\/386952.\nAnswer: 386952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u. Suppose u*l = l - 24. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -26*a + 28*a - 124, -4*a + 228 = -4*x. Let s = 2 - -38. Calculate the least common multiple of a and s.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/11 - (-42)\/11. Suppose -2*h = i + 4, -d = -4*h + 4*i - 0*i. Let u(a) = 6*a - 1. What is u(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005542 to 4 decimal places.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from akwcrsarrrrkrkkrs?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 5*u**2 + 3*u + 2. Calculate the remainder when (4 - 104\/20)\/(15\/(-100)) is divided by h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 16) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.24412 days in microseconds?\nAnswer: 453091968000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*t = 2507*t + 182526 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-118 - (-24 - 50)) + -1 + 0 + -1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10 = 15. Find the third derivative of s*n**5 + 2*n**2 + 0*n**5 + 2*n**2 wrt n.\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69062, 69071, 69094, 69137, 69206, 69307, 69446, 69629?\n\"Answer: q**3 + q**2 - q + 69061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*z + 129, 5*z - 3*r = -0 - 144. What are the prime factors of 1444\/((-6)\/z*9)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 18*s**2 - 3*s - 31. Give z(-18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1493677827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 73. Suppose 0 = -a + 4 - h. Suppose -f = 4, -9 = -2*v - 5*f - a. Calculate the remainder when v is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/3 + 404*f\/3 + 784 = 0?\nAnswer: -196, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7671444*t + 1051412 wrt t.\nAnswer: -7671444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/54 and 19\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -797 = -2*u + 359. Suppose -5*q - 2*o + 714 = 0, 2*q = -2*q - 5*o + u. What are the prime factors of q?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = w. Let r = 11 - w. Solve 0*j - 4*y = 3*j + 13, 5*j - r = y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13759 - 34327. Let h = -8206 - c. Suppose -h = 3*x - 10*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a**3 + a**2 - 2*a - 3. Let b be (-18)\/(-8) - 2\/8. What is the remainder when (1\/b)\/(1\/46) is divided by f(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 313 - 2*p - 154.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -99, -142, -179, -210?\n\"Answer: 3*i**2 - 58*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = -3*j - 5, -2 = -f. Let c = 7 + j. Suppose -2*i + 299 = z, 658 = c*i + z + 61. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6 - 2.98. Let o = l + -1.52. Which is the closest to 1? (a) -5 (b) -3\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*g + 19 = 0, 2*x + 2*g = 2 - 4. Let z = -1.032 - -0.032. Put 0.8, z, x in descending order.\nAnswer: 0.8, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 85*n + 6699. Let p be q(-78). Is -38 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 899465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*m + n - 18, 0 = 5*m + 3*n - 24. Let v(s) = 2*s**3 - s - 5. Is v(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - (5 - 2)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from {r: 8, e: 1, i: 3, k: 2, s: 1, c: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54483713 is divided by 631?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 135750986893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/217511 and 55\/31073.\nAnswer: 217511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {v: 1, z: 1, h: 2, l: 1, n: 5, m: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 637 + 10*z - 235.\nAnswer: 2*z + 402","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (14 - 7 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -1396, -4687, -11094, -21655, -37408, -59391?\nAnswer: -88642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 8:25 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3550704989?\nAnswer: 13, 127, 2150639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o = 83*o - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -12, -5*a + 22 = 3*t + 3. Let c(n) = -a - 4*n - n + n**2 - n. Let k be c(6). Is k at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48791 in 0.4, -5\/4, 1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*z = 3, 8*z - 5 = 2*l + 3*z. Let p be 17\/68 - 646\/(-8). Suppose -3*w + p = -l*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 + 85. Let s be (2*1\/t)\/(32\/(-10)). Let w be -2 - (-4)\/((-20)\/(-15)). Which is the nearest to 2? (a) s (b) w (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(i - i - i**2) - 2*i**2 - 2*i - 2 + 2*i**2 - 3*i**2.\nAnswer: -5*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483*p - 3*p - 427 - 3947 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 17 = 16*m. What is the greatest common factor of m and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a - 416dd?\nAnswer: -41758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 10472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -193134724*h**3*l**2 - 101312*h**2*l**2 - 2*h**2 - 60*h*l**2 wrt h.\nAnswer: -1158808344*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 33 + -12 - 83\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26577 + 15843. Suppose 3*a + 3*a + y = 0. Let w = a + 4070. What is w rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 9*r + 104 + 1 = 4*r, -5982 = -6*i + 4*i + 299*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 7*g - 6*g, -4*g - 4 = 2*f. Suppose 0 = -2*w + 6*w - 8. Which is the biggest value? (a) -1 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2587601255 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.08754.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91991924 - 36191934. Suppose 43661363 = 2*h - 5*y + 6461338, -2*y + k = 3*h. Suppose -h = -v - 2*v. What is v rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6365.0754 + 6364. Let x = a - -1.11. What is x rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 1a174a87?\nAnswer: -1a174a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y + 10. Let v be 5\/y*3\/(-12). Let f = 1 - 0. Is v >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1, 4, 233 in descending order.\nAnswer: 233, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138275601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**7*a**0\/a)**(-2\/27))**(-6\/23) assuming a is positive.\nAnswer: a**(-28\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 389? (a) 4 (b) 2 (c) 6442\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + 1.65. Is r > 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*v + 7 + 6 = 0, -4*v - 22 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 1)\/(13\/(-572)) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82.82 - 1.18. Let z = -970 - -1062. Let w = f + z. Which is greater: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(624) - 4*sqrt(624)*-1))\/((-1*sqrt(648))\/(-2*sqrt(12)\/sqrt(2))).\nAnswer: -100*sqrt(13)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 5, d: 4}. Give prob of picking 4 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*((-6)\/(-4) - 1). Let z = x + 10. Let p be 2\/z - (-4)\/(-16). Which is the smallest value? (a) p (b) -0.5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4)*n**4*n)**(-41) assuming n is positive.\nAnswer: n**(-410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, z: 2, f: 1, p: 2}. Give prob of picking 1 f and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ndnnddd. What is prob of sequence ddnd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3717 = 10*c - 4127. What is the greatest common divisor of 369 and c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 + 4 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d**2 + 4*d**2 + 88*d - 82*d)*(-3*d + 2 - 2)*(3*d - 3*d + d**2 + (6*d - d + 2*d)*(3*d - 4*d + 2*d)).\nAnswer: 72*d**5 - 144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -4*n + 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -554612*b**3*t**4 - 58504*b**3*t**2 - 100*b**3*t + 7*t**4 wrt t.\nAnswer: -13310688*b**3*t + 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 42.8. Let n be -3*(5 + 85\/(-15)). Let c(a) = -a**3 + a**2 + 3*a - 6. Let z be c(n). What is the third smallest value in 2, 6, z, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + w = 8, 5*n - 8*n = 2*w - 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.378937 millilitres in litres?\nAnswer: 0.009378937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h + 62*h = 168 - 1042 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 68 = 2*x + u, -4*u + 36 = -6*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 23. Let r(m) be the third derivative of 0*m - 1\/60*m**5 - 1\/120*m**6 + 0 + 1\/6*m**3 - m**2 + 0*m**w. Give r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**5\/120 - r**3\/3 - 2*r**2. Let u(n) be the first derivative of a(n). Suppose -28*h - 12 = -25*h. What is u(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + s + 2*s. Let d = 50 - 48. Let c(r) = 4*r + d*r - r - 3*r. What is c(b(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -11. Suppose 2*g - 45 = -u*g. Let w be ((-2)\/2)\/((-3)\/g). Solve w*o = 2*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(98) - (sqrt(98) + -1)) - sqrt(98))*-5 + 1)**2 - (-2 + (3 + sqrt(98) + 1)*-3)**2.\nAnswer: -1918*sqrt(2) + 1733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -215211*d**3 + 770114?\nAnswer: -645633*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -312, -1248, -2846, -5136, -8148, -11912?\n\"Answer: -5*u**3 - 301*u**2 + 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-8) - (-2)\/(176\/208434). Let c = d - 2365. Find the common denominator of c and 133\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3500.627 decades to years.\nAnswer: 35006.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -634058, -1268005, -1901952, -2535899?\n\"Answer: -633947*a - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429800?\nAnswer: 2, 5, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -106\/6435 and -77\/156?\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -6\/127 (b) -4\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -35\/6 (b) -1 (c) 0.0002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6603 and 361945646?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (148\/(-10) - 4)*-27365. Suppose -7*w - y - 31538 = 0. What is w rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-156)\/270))\/(-18*(-54)\/(-1296)).\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5087317065 + 647?\nAnswer: -5087316418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -233*o**3*t**3 + 16149843*o**3*t**2 - 28*o*t**4 + 106*t**3 wrt t?\nAnswer: -1398*o**3 - 672*o*t + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 2, v: 1, w: 2, g: 2}. Give prob of picking 1 w and 2 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9499 and 161483?\nAnswer: 161483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/5)\/3)\/(((-33)\/(-10))\/11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1454 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(24\/(-5) + 9\/(-45))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 2. Let b be g(0). Suppose -2*t + 0*t = b. Put 1, 5, t in decreasing order.\nAnswer: 5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence np when two letters picked without replacement from {u: 4, p: 2, s: 2, b: 5, n: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-68))\/(2\/7)*109\/(43491\/342)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -81*r**5\/20 + 121*r**4\/6 - 18*r + 3. Find the third derivative of y(q) wrt q.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/(-10)*(-700)\/60. Suppose -6295 = w*z - 30193. List the prime factors of z.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -215\/7 - -31. Sort t, 1, -19.\nAnswer: -19, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(-1651*o**5 + 3407*o**5 - o - 4*o**2 - 1692*o**5).\nAnswer: 64*o**5 - 4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-3)*(-3)\/4. Let b(g) = -1 + 6 - t*g + 6*g**2 - 3*g**2. Is b(3) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103424110 (base 5) to base 6.\nAnswer: -123313453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-492 - -276) + 225 + (0 - (98 - -1)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 2*c - 16, -5*d - 28 = 5*c - 4*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 4 + 4 - 3 - 6 + 1 - 4 + 2 + (0 - 3 + 2)*(0 - 4 + 2))*(-4*d + 2*d + 0*d)*(-4*d + 4*d + d**2).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 174061?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -16\/5, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013594917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -14327292\nAnswer: 1\/3581823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y - 1. Is 29 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1131*u**5*y + 22*u**2*y**2 - u*y**2 - 43967*u*y wrt u.\nAnswer: 22620*u**3*y + 44*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 15*o + 2. Suppose 19*r + 21 = 16*r. Let d be w(r). Calculate the highest common factor of d and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -101 (b) -4 (c) 2319 (d) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5050, -10056, -15062?\n\"Answer: -5006*g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4251.1 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**4\/12 + 98*m**3\/3 + 46*m**2. Calculate the remainder when t(23) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 92*a**2 - 135*a + 25. Is g(96) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162435 (base 11) to base 14\nAnswer: 67c1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106915894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**3 - 8*z**2 - 71*z + 466. What are the prime factors of p(9)?\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 2*j**5 + 5*j**5 + (-5*j + 5*j + 4*j**4)*(0*j + j - 3*j).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*w + 32 = 0, -4*c + 0*w + 20 = -3*w. Suppose -7*s - 76 = -c*s. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 279120 by -15.\nAnswer: -18608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 72 = 4*k + 3*k. Put 1, -8, k, 0, 3 in decreasing order.\nAnswer: 3, 1, 0, -8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1117*o**4 + 2*o**3 + 26306 wrt o.\nAnswer: -4468*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-81)\/2 + 1)*590\/(-295) is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46874683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64597 divided by -17?\nAnswer: 64597\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205.6247787 - -0.2.\nAnswer: -205.4247787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10\/((-210)\/(-7)))\/((-56)\/(-315))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -15508053\/2 and -7754026 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 1:25 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 at most as big as -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14333?\nAnswer: 11, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69.146 - -0.146. Let i = a + 68.6. Let k = 2.6 - i. Are k and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3857455 - -16?\nAnswer: 3857472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + -12 + 13 - -4 - -110) + 23?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.9, -1\/354.\nAnswer: -0.9, -0.5, -1\/354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -12 + 14. Solve -4 = v - g*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25567 (base 8) to base 15\nAnswer: -346c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -0.09 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0.1 (c) -3\/7 (d) 49\/2 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 903\/(-774) + (-2)\/6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -34, -1, 4, 113 in descending order.\nAnswer: 113, 4, -1, -25, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5498*v - 5*v**2 + 5498*v + 61*v**3 as d*v + g*v**3 + i + x*v**2 and give g.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 2*q + 4. Let a be (1 + 1)\/((-12)\/54). Let n(i) = 5*i**2 - 4*i - 9. Determine a*w(g) - 4*n(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1 (c) -1\/2 (d) -0.017 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 8*k - 6. Let x be d(4). Let n be 2*(2 - x\/4). Calculate the greatest common factor of n and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0.9. Let w = -45477 - -45474. Which is the second biggest value? (a) v (b) 0.06 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345770669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 5 - 3 + 5*t**2 + 7 + 2*t. Let p be c(1). Is 12 a factor of 8\/(-32) + 193\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g - 7 = -490. Calculate the highest common factor of 189 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**3 - f**2 - f**3 - 6*f**3 wrt f.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + 4*sqrt(171))*3 + -1*(sqrt(171) - (sqrt(171) - (sqrt(171) - (sqrt(171) - (-5 + -3*sqrt(171)))))))**2.\nAnswer: 38475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104519, -108368, -112215, -116060, -119903, -123744, -127583?\nAnswer: -131420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, e: 4, k: 3}. Give prob of sequence kee.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 3. Let p(v) = 2*v + 4. Let z(r) = 4*p(r) + 3*y(r). Suppose 1 = 2*i - 13. Let u = i + -12. What is z(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1471175, 2942351, 4413529, 5884709, 7355891, 8827075?\nAnswer: 10298261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1042*l**2*u**2*y**2 - 9*l**2*u**2 + 15*l**2*u + l**2*y**2 + l*u**2 + l*y + 2*u wrt y.\nAnswer: 2084*l**2*u**2 + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 1:06 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 - -21110?\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17835534?\nAnswer: 2, 3, 23, 67, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623313 times -7?\nAnswer: -11363191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {d: 2, y: 3, x: 7, n: 4, f: 1}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 210 = -147. Is (-48)\/(-112) - (-226812)\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 290.9 + -340. Let u = -50 - t. Put -1\/7, u, 2, -2 in descending order.\nAnswer: 2, -1\/7, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 1. Let b be r(-3). Suppose n + b = 31. Calculate the common denominator of (3 - 5) + (-1)\/n and -37\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 237 - 387 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 - 19*z. Let q(d) = 4*d**2 + 18*d. Let k(b) = 5*o(b) + 6*q(b). Factor k(g).\nAnswer: -g*(g - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1280*g = 10936 + 26184 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/63 + 963\/7. Suppose -3*z + 132 = 3*p - d, 3*p - 3*z - 240 = 0. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60638582.\nAnswer: 2, 101, 300191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times 6.9?\nAnswer: -1.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 - 8*j**3 - 3*j**2 - 4*j**2 + 23 + 7*j**2 to the form w*j**2 + l*j**3 + s + b*j and give s.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 387564, 1\/2, -1\/4, 2\/3 in ascending order.\nAnswer: -0.4, -1\/4, 1\/2, 2\/3, 387564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11, 35, 67, 113, 179, 271?\n\"Answer: g**3 - 2*g**2 + 23*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/(-5))\/(15\/(-9)*3*2).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1516 = 4*b, -13*b + 1130 = -10*b + j. Calculate the remainder when b is divided by 366.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(108) + 0 + sqrt(108))*5 + ((sqrt(108) + 1 - sqrt(108)) + -2)*-3)**2 + 4.\nAnswer: 600*sqrt(3) + 10829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2594 divided by 122\nAnswer: 1297\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412789185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 115443226?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 25*m**2 - 26*m - 1. Let k be z(26). Which is the nearest to -0.2? (a) -1\/15 (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 18392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239 (base 11) to base 13.\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l**2*n**2 - 718590*l**2*n + 140395*l*n**2 - 3*n**3 + 2*n**2 - 2*n wrt n.\nAnswer: 16*l**2 + 280790*l - 18*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + 15. Let o be ((-35)\/h)\/(2\/(-16)). Let u = -2 + o. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -696 + 250. Is w < -445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58477038 to the nearest integer?\nAnswer: 7647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 236?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3165 divided by -15.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14\/375 (b) 0.4 (c) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.43 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -3 + -3 + sqrt(605) + 1)**2.\nAnswer: -462*sqrt(5) + 1962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/3374 and 79\/15183.\nAnswer: 30366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 1. Let f(o) = 0*o**3 + 4*o - o + o**3 - 627 + 630. Let w(s) = -f(s) - 2*t(s). Let n be 2\/(-8) + (-14)\/8. Give w(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 30 = -337. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -24. Let z be (-30)\/18 - m\/3. Let i = -510 + 511. What is the closest to 0 in z, i, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103062 divided by -3?\nAnswer: -34354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*b**2 - b**3 - 3*b + 49*b**2 + 2*b as o*b**2 + l + c*b + w*b**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -165, -450, -853, -1374, -2013, -2770, -3645?\n\"Answer: -59*p**2 - 108*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((((4*sqrt(204) + sqrt(204))*-1 + sqrt(204) - sqrt(204)) + sqrt(204))\/((sqrt(192) - sqrt(12))*-6))**2.\nAnswer: -175\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121634 + 6*r - 5*r - 40539 + 6*r - 40541 - 40541.\nAnswer: 7*r + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 3 (c) -22 (d) 168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -20*u. Let r(f) = -10*f**2 - 40*f - 10. Let v(w) = 2*w**2 + 4*w + 1. Let d(o) = 3*r(o) + 30*v(o). Calculate d(n(m)).\nAnswer: 12000*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 48. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-85 - -54) + 29)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -1141*o - 34. Let k(q) = 571*q + 17. Let j(i) = 3*b(i) + 5*k(i). What is the tens digit of j(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4114 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 9*g + 117. Let y be v(-9). What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-73)\/(-12))\/1 + (-1122)\/748. Is 0 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1565.59858?\nAnswer: 3131.19716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3 - 44079*f**2 + 750210*f = 0.\nAnswer: -14710, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1376 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -4*q + 3*r - 11, 0 = -5*q + 2*r - 39 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416780 and 926380.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywlw when four letters picked without replacement from {h: 1, y: 2, a: 1, g: 1, w: 2, l: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**5 - 1082*q**4 - 140*q**3 - 665713*q wrt q.\nAnswer: -20*q**3 - 12984*q**2 - 840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33962, 67991, 102088, 136253?\nAnswer: 170486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 + 8)\/(0 - 2). Suppose 0 = q - 0*v - 2*v, -4*q - 3*v - 22 = n. Does 10 divide (q + -2)\/(10\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0874727 rounded to 3 decimal places?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -4316244?\nAnswer: -4316253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/21 - 1826*y**4\/21 + 49376*y**3\/7 - 1201024*y**2\/21 + 1054720*y\/21 = 0.\nAnswer: 0, 1, 8, 80, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 9*n + 8. Determine r(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.047 and 0.8.\nAnswer: -0.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0055? (a) -4\/9 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -16*b + 10*b**3 + 28*b**2 - 22*b**3 - 12 - 4. Let z(u) = 4*u**3 - 9*u**2 + 5*u + 5. Let p(o) = -5*r(o) - 16*z(o). Factor p(n).\nAnswer: -4*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:37 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**3 + 9*p**2 + 20*p - 12. Let a(d) = d**3 + 0 + d**2 + 5 - 4*d**2 - 1 - 7*d. Let w(c) = 11*a(c) + 4*s(c). Does 3 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k**6 + 0*k - 3*k**2 + 0*k**5 + 2\/3*k**3 - 1\/70*k**7 + 0 + 0*k**4. What is the first derivative of v(h) wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1488, 12778, 43432, 103134, 201568, 348418, 553368?\nAnswer: 826102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113.2 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1820\/1467 + -3\/163. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h, 3*s + h - 6153 = -4*h. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307442?\nAnswer: 2, 347, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*g**3 - 2 + (0*g**3 + 6*g**3 - 5*g**3)*(1 - 2 + 3))*(3*g + 3*g + 7*g).\nAnswer: 52*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {r: 1, g: 7, x: 2, d: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3311 >= -3349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -31*t. Let x(i) = 11247050 - 11247050 - 806*i. Give 155*p(l) - 6*x(l).\nAnswer: 31*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**2\/8 - 3\/8 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*w**4 - 5*w**4 + 7*w**2 + 25*w**4 + (w**2 + w**2 + 0*w**2)*(-5*w**2 + 4*w**2 + 2*w**2).\nAnswer: 9*w**4 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:44 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 35775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -889, -895, -901, -907?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2. Let p(m) = m**2. Let r(u) = -2*j(u) + 12*p(u). Let z(k) = -k**2. Calculate r(z(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*a*p**2 + 6*a + 2*p**2 - 27 wrt p.\nAnswer: -170*a*p + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-24) + (-113)\/(-6)*2. Solve -5*v = 4*h - l, h - 4 = 3*h - 2*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from prvbvggvvpptvgvvbv.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -12*s - 48, 4*j = 203*s - 207*s + 32 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/2 - 7*i**3\/2 - 3*i**2 + 130*i. What are the prime factors of l(-5)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -36*u. Let t(z) = 4*z. Determine 3*b(j) + 28*t(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038479961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -599.000257 - -599. Round a to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 3 + (0 - -3). Suppose 189 - j = 4*l + 4*y, 5*y = -4*l + 177. Calculate the greatest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**13*o*o**(-5\/4) assuming o is positive.\nAnswer: o**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 84217.434 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {x: 1, u: 1, t: 2, p: 2, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 708356.5ng in kilograms?\nAnswer: 0.0000007083565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 7. Let m(u) = -42 + 22 - 300*u + 303*u. Let h be (-17)\/(-4)*4\/1. Give h*a(r) - 6*m(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 2. Let b be a(-3). Let p(j) = -4*j - 1. Let o be p(b). Solve 2*m - 4 = 4*r + 7*m, m - 8 = -o*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3606556 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**3 - 138*z**3 + 11*z**3.\nAnswer: -119*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q - 19. Let k be w(-4). Suppose -k*b + 10*b + 3409 = 0. What are the prime factors of b?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -51, 186, -3, 1, -28.\nAnswer: -51, -28, -6, -3, -2, 1, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71986 or -72002?\nAnswer: -72002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqrnh. What is prob of sequence hr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -4, -0.27, -1\/9, -80?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4175.2 - -0.2?\nAnswer: -4175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c**2 - 6*c**2 - 2*c**4)*((4 + 4 - 12)*(0 - 1 - 1) + 0 + 1 + 1) - 2 - 3*c**4 + 2.\nAnswer: -23*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 210?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 - 742217808*o + 91814545752054144.\nAnswer: 3*(o - 247405936)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 646\/(-153) - 2\/(-9). Let d be z + (-23)\/(-5) - 2\/10. Which is the closest to -2\/7? (a) 3 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1224 - -426. Which is greater: 1647 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-209)*(-23940)\/(-136080).\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -76. Solve -3*j - 5 = t, t + 3*t - 4*j + 20 = x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 35*s**2 - 27*s. Let o(c) be the second derivative of -c**4\/12 + c**3\/6 - 37*c. Let r(w) = 2*o(w) + y(w). What is the second derivative of r(k) wrt k?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.61 + 0.11. Put o, 0.4, 4 in decreasing order.\nAnswer: 4, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*z + 6*z. What is the first derivative of -10*u - 12*u**z - 29 + 10*u - 24*u**2 wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 32*l - 160. Let u = 10 + -7. Solve 5 = -u*a - l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20680694?\nAnswer: 2, 10340347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*29*2. Solve 0*w - 2*w + 7 = -3*q, 0 = -5*q - w - i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.849496554 take away 718?\nAnswer: -719.849496554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5 - 21*x**4 - 11*x**3 + 213*x**2 + 370*x + 168 = 0.\nAnswer: -2, -1, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.054 + -46.054. Let q = p - -46.225. What is q rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 20172.\nAnswer: 20172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from {c: 12, e: 7}?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a + 2*a)*(-2 + 4 - 4) - 2*a + 1 - 1 - a - 6*a + 3*a + (1 - 3 - 4)*(-a + 2*a - 2*a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/3, 1\/7, 3079.\nAnswer: -10\/3, 1\/7, 3079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -32 - 28. Let w be 15\/20 - 2\/(-8). What is the smallest common multiple of t and 1\/(3 - 2)*w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - h + 4*h = -2539, f + 637 = -3*h. What is the units digit of (f\/(-102) - (-20)\/170)*57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 445 divide 1481342700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3*166\/(-332))\/(2\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-4)*22\/(-33). Find the second derivative of 6 + h**4 + 31*h**4 - 83*h**2 + 83*h**2 + u*h wrt h.\nAnswer: 384*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 135. Calculate the remainder when 44 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 1)\/(3\/(-20)). Suppose 2*o - 19 = -t, -3 - f = -o + 4*t. Let q be (-11 + 43 + -26)\/((-6)\/(-88)). Calculate the highest common factor of o and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*q**2 - 4340*q - 4355 = 0. Calculate q.\nAnswer: -1, 871\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**4\/6 + 31*o**3\/6 + 19*o**2. Let j be r(-7). Solve -5*n - j = -28 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 26*w + 2. Let x(g) = 181*g + 14. Let p(c) = 21*f(c) - 3*x(c). Let j(q) = 79*q. What is p(j(n))?\nAnswer: 237*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*g**4*t + 12*g**3*t - 4*g*t - t - 549 wrt g?\nAnswer: -100*g**3*t + 36*g**2*t - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + -73?\nAnswer: -73.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -282*s**4 + 63*s**4 - 9*s**2 - 143*s**4 - 121*s**2 wrt s.\nAnswer: -8688*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*n**2*p**2 - 4*i**2*p + 103*i*n**2*p**2 - i*n**2 + 40*p wrt p?\nAnswer: 4*i**2*n**2 + 206*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 227 and 37909.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-194)\/(((-4)\/5)\/(2\/5)). Let i = o + -34. Let x = 85 - i. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (18 + -8 + -1)) + 2 + -30\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 28. Let m be r(22). Let f(j) = 0*j + 58 + 0*j + 2*j - 24. List the prime factors of f(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + t**2 + t - 1. Let s(r) = -4*r**3 + 9*r**2 - 5*r + 5. Give 5*f(l) + s(l).\nAnswer: l**3 + 14*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbpbnnpbp. Give prob of sequence pn.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 149, 304, 533, 842, 1237, 1724, 2309?\nAnswer: 2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17*(-15)\/((-3060)\/(-24))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 5*d - 6. Let y be ((-3)\/6)\/((-2)\/8). Suppose 0 = b - y*b - 2*o + 2, 3*b = 5*o - 38. Determine r(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**5\/60 + x**4\/24 - x**3\/6 + 3*x**2. Suppose 4*i - 14 = -18. Let y(u) = -u**2 - 2*u + 2. Calculate i*y(w) - 2*d(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 1. What is the closest to -0.1 in -1\/5, u, -0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 3e?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) -0.3 (b) -4 (c) 5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r - l = -70*r - 25, 0 = 5*r - 3*l - 68. Let c(k) = k**2 - 10*k + 17. Calculate c(r).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*j + 2174 - 1044 + 1110 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s**3 + 3*s**3 + 0*s**3)*(-4 - s + 4) + 0 + 0 - s**4 - 5*s**4 + 4*s**4 - s**4 as i*s**3 + n*s + j*s**2 + d*s**4 + z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 890 + -611. Is 280 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i = -20, -i = -2*w - 4044. Is -4*1\/18 - w\/18 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1876 plus 737.9?\nAnswer: -1138.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 39863304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, -57, -127, -245, -423, -673?\n\"Answer: -2*x**3 - 6*x**2 - 2*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4266630 and 5688840.\nAnswer: 17066520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93\/7 + -13. Let t(s) = 3*s - 1. Let p be t(1). Let a(r) = r**2 - 3*r + 3. Let z be a(p). What is the nearest to z in -1\/4, u, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 502 and 18.\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 45. Let d(q) = -q + 15. Let u(x) = 2*b(x) - 7*d(x). Let l be (6\/5)\/(5\/25 - 0). Let t be u(l). Calculate the highest common factor of 12 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 452, 4, 2, -4, -6 in descending order.\nAnswer: 452, 4, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24687 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13152390, -13152397, -13152404, -13152411, -13152418?\n\"Answer: -7*j - 13152383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 127, 124, 119, 112, 103, 92?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -1.08. Let b = 0.28 + r. Round b to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, 2, 0.1, -0.1, 0.2, -209?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -706, -1411, -2378, -3595, -5050?\nAnswer: -6731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 3*x + 320. Calculate the lowest common multiple of 95 and x.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v**2 - 2*v**2)*(0 + 0 + 1)*(-2 + 2 + 9*v)*(11*v - v**2 - 11*v).\nAnswer: 18*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140045 is divided by 204.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(21\/2)*32494\/(-9284)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 - ((-8586)\/1620 - (-4)\/5)*2.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 36*j + 72 = 3*r, 6*j - 3*r - 1 = 10 + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7*g - 3 - g + 0.\nAnswer: 6*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2 (c) -5 (d) 0.3 (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 5*k**2 + 5*k - 6. Let q be y(4). Let m(c) = 36*c**2 - 9*c + 1. Let v be m(-1). Let n be q*(-1 - -3)\/v. Are 0 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.112 + -0.13. Let l = 20.018 + b. Let c = l - 19.9999895. Round c to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 3*s**2 + 11*s + 11. Let i be c(0). Solve -2*x - 26 = -5*j, x - 2*j + i = -0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x = 18*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 533*n + 589. Determine b(132).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:05 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -5. Let t = l + -19.4. Let d = 0.3 + t. What is the closest to 0 in d, 0.2, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3886515 and -2.\nAnswer: -7773030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1379523, -2759047, -4138571, -5518095, -6897619, -8277143?\n\"Answer: -1379524*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (46994 - 56*w - 46994)*(2 - 3 - 1) as c*w + t and give c.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 11 = -t, 1592*i - 4 = 1594*i - t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -2210.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 30*y + 24*y - 40*y.\nAnswer: -46*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 42*t**3 + 2*t**2 + 3*t - 30. Let q(h) = -83*h**3 - 3*h**2 - 5*h + 59. Let u(l) = -3*q(l) - 5*x(l). What is the third derivative of u(w) wrt w?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:40 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*j + 10, -2*j = -j + 3*m + 7. Suppose 4*u - 27 = 3*f, f - 3*f - 22 = -4*u. Suppose -u*h - j = -146. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -58 (b) 1 (c) -1 (d) 0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 794*o\/3 + 75020\/3.\nAnswer: 2*(o + 155)*(o + 242)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 50. Let g(u) = u**3 - 2*u**2 + 3*u - 36. What is the least common multiple of 81 and g(f)?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, c: 1, f: 1, v: 2, h: 2, g: 2}. What is prob of sequence vncn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7822.026 millilitres in litres?\nAnswer: 7.822026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and 16442.\nAnswer: 37816.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -61. Suppose -2*j + 3 = u*b - 3*b, 3*b = -5*j + 10. Let f be 1\/1*7*-1. Sort b, f, -2.\nAnswer: f, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*i = 782 + 1414 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 68*r + 75. Let a be w(-34). Solve 70*g = a*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((-1*sqrt(833) - sqrt(833)) + 5)**2 - (-4 + sqrt(833) + (sqrt(833) + -1 - sqrt(833)))**2)*1.\nAnswer: -7497 + 210*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-14) - 100\/(-28). What is the fourth smallest value in 0.2, v, 1\/4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*i - 31 = 0, 4*d + 2*i = d + 17. Suppose -5*a + 1 = -3*h, -d*h = -h + 5*a - 41. Let t(j) = -j**3 + 8*j**2 + 3*j + 10. Is t(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -176 + 882\/5. What is the smallest value in -1\/7, b, 0.5, 4\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164 + 1483*w**3 + 3340*w**3 + 1500*w**3 + 158 + 5*w - 333 wrt w.\nAnswer: 37938*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 10:33 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -9 - 5\/(-5). Let r(l) = -l - 5. Let f be r(n). Suppose -2*m + 28 = 2*d, -2*m + 19 - 6 = -f*d. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 28) + (25 - (-28 - -57))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6177257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3311 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*c - 110*c = 27 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 1. Let o be p(5). Suppose -2*z + o*z - 4 = 0. Solve 5*j + 15 = -5*n, -z*j + n + n = 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**23*(k\/(((k*k\/k**(-1\/19))\/k)\/k*k*k))\/k*k assuming k is positive.\nAnswer: k**(-438\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*t - 405 - 88 - 7*t - 10*t wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-4 + -1 - 23 - -1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let l(p) = -4115*p**2. Calculate l(n(a)).\nAnswer: -4115*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 0.4 (c) -0.0924 (d) -5 (e) 2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**1*n)\/n)**(-46))**(-4\/5))**5 assuming n is positive.\nAnswer: n**368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 8:32 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -15\/2 + 96*a**3 + 66*a - 168*a**2 = 0.\nAnswer: 1\/4, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1 + 2*w**2 + 13*w - 13*w - 4*w**3. Let i be x(-1). Suppose -3*t - 360 = -i*t. Calculate the greatest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 7911186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.04 - 0.04. Which is the smallest value? (a) -0.1 (b) s (c) 0.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + j + 7. Let x be c(0). Let m(n) = -n**2 + 5*n + 9. Determine m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-46) - (-14)\/(-161) - 144\/66?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289634518?\nAnswer: 2, 19, 7621961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 44 - 9 = 0. What is the remainder when ((-3)\/9)\/((-2)\/66) is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898*i + 619556 - 626728 = -3*n, -5*n = -4*i - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-14)\/2 - 4. Solve 2*w + 2*w + 12 = d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6225 greater than 6230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 7\/((-21)\/132). Suppose 5*p + 5*f - 115 = 0, -5*f + l = 4*p - 49. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(-3)\/(-18)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 16*z - 188. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475565311, 475565312, 475565313, 475565314?\nAnswer: 475565315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 169*p - 151*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-4)\/(-22) - (-20)\/(-110))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173\/3 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(2 + -9) + 4. Let f(w) = 4*w**2 + w. Let j be f(1). Suppose -4*y + 1 - 11 = 2*m, 3*m - 18 = 5*y. Solve n = j*g + m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 - 19*n**2 - 10*n. Suppose 35 = -3*s - 2*r, -4*s + 1 = -2*r + 29. Calculate the smallest common multiple of y(s) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30321.52 milligrams to grams.\nAnswer: 30.32152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) 3 (c) 0.1 (d) 3.73 (e) 0.2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 19, -2, 0, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - p + 1. Let k be w(1). Let z = k - -2. Suppose -h + z*h = 0. Solve -3*a = h, -3*c + 0 = -a - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j - 1. Let u = -3 - j. Let p be 11\/(-4) + 4\/16. Which is the third biggest value? (a) p (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -29. Suppose r*q - 70 + 12 = 0. Solve 0 = -5*t + 2*p - 23, 4 = 4*t + 5*p + q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0 - 1 - w)*(-30*w + 17*w - 13*w)*(6*w**2 - 2*w**2 - 3*w**2).\nAnswer: 52*w**4 + 26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1*(4 - -1 - 85606). Round v to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*g + 88362*g**3 + 259258*g**3 + 40207*g**3.\nAnswer: 387827*g**3 - 90*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*b - 201*b + 288. Let o(n) = n**2 - 5*n - 2. Calculate o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 92879, 0.05, 0, 0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + g**2 - g - 1. Let b(z) = -10*z**3 + 13*z**2 + 11*z - 1. Let c(l) = -b(l) + k(l). Factor c(h).\nAnswer: 3*h*(h - 2)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 0*l**3 - 4\/5*l**5 + 0*l**4 + 0*l**2 + 3 + 3*l. Find the first derivative of w(f) wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48997 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24286738, 24286734, 24286728, 24286720, 24286710?\n\"Answer: -n**2 - n + 24286740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*3 + sqrt(228)\/(sqrt(12) + (sqrt(300) - sqrt(12)) + sqrt(12)))**2.\nAnswer: 6859\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 5*y + 1. Let r be u(-4). Solve 4*m = 3*l - 6*l + 5, -m - r*l = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 2. Let q be (-462)\/14 - (0 + 0)\/(-4). Let k(b) = -6*b - 11. Give q*r(g) + 6*k(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751.4446cm to millimeters.\nAnswer: 7514.446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/101, -191187 in increasing order.\nAnswer: -191187, -3, 1\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 385087 (base 10) in base 15?\nAnswer: 79177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -9 - (2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 4851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 239. Let u(d) = 166*d**2 + 165*d**2 - 498*d**2 + 169*d**2. What is j(u(t))?\nAnswer: 2*t**2 + 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6015 to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxyljxuxjxuxuxxxfjx. Give prob of picking 2 j, 1 u, and 1 y.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*v = 58, 0*s + 56 = 2*s - 4*v. Calculate the highest common divisor of s and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 4. Let n = 34.9 - 35. Sort q, -5, n, -4 in increasing order.\nAnswer: -5, -4, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14561 is divided by 74.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/722 and -67\/20.\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (247 - 29*h**2 - 247)*(0 - 1 + 2 + (-2 + 2 - 2)*(-1 - 4 + 0)) to the form y + d*h + b*h**2 and give b.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/33)\/(496\/(-88) - -6)*8986 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-10))\/(6\/108). Solve -4*u + l - 9 = 0, 3*l - h = 3*u + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36145 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -25004 (base 8) to base 12\nAnswer: -6284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.7. Let l = n + 1.1. Let p be 6\/(-3) + 4 + -1. Is l < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 22. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*j**3*w**3 + 3*j**3*w**2 + 65*j**3*w - 235*j**2 + 2*j*w - 88*w**3 wrt w?\nAnswer: -138*j**3*w + 6*j**3 - 528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 2:58 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -25397 at most as big as -25385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1.14?\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6551 in -91, 1, -3, -1\/2, 2\/3?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000752983 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-63752)\/24)\/13 + 2\/(-3). Let k = -62 - b. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12322587103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 2, g: 2}. Give prob of sequence pg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sss. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.015 + -4.785. Let g = n + 5. Suppose -5*x + 2*x - 6 = 0. Sort g, 5, x in ascending order.\nAnswer: x, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jljll. Give prob of sequence lljj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.23 + 8.23. Which is the third smallest value? (a) 2\/9 (b) m (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 101.9. Which is the closest to 1? (a) -0.3 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3 + 38*i**2 = 0?\nAnswer: 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18216 + 18708 = 1779. List the prime factors of h.\nAnswer: 3, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 9 = -1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9 - (-671)\/(-3). Let b = -156 - c. What is the remainder when 265 is divided by b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -166334.972.\nAnswer: -166331.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 9 = -0*x. Let v be (x - (-3 + 2)) + 10. Is 4\/v + (-314)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f**5\/9 - 46*f**4 - 1580*f**3\/9 + 69580*f**2\/9 - 44278*f\/3 + 65234\/9 = 0 for f.\nAnswer: -13, 1, 13, 193\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 4*a - 3*a)*(-606316*a + 1193*a**3 + 606316*a) in the form f*a**2 + g*a**3 + l*a + d + m*a**4 and give m.\nAnswer: 2386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 31*u**3 + u + 2*u**4 - 7*u + 37*u**3.\nAnswer: 2*u*(u - 1)*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073907 is divided by 1073905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 8 + 2*z + z + 5. Give p(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -59134\nAnswer: 1\/29567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let h be b(-3). Let v = 4 + -4.4. Let z = -202 + 203. What is the closest to z in h, v, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q**2 - q**2 - 5*q**2)*(-2*q - q + 5*q) + (-5*q**2 - 2*q**2 - 2*q**2)*(q + 0 + 0) as r*q**3 + t*q + l + i*q**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -111? (a) 0.1 (b) 3 (c) -10 (d) 0.15 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**3 - 8*f**3 + 26*f**3.\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -53 in decreasing order.\nAnswer: 3, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.8504 millilitres to litres.\nAnswer: 0.0538504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 11*l - 4. Let q(i) = -i**2. Let r(j) = 4*j**2 - 12*j + 3. Let u(h) = 2*q(h) + r(h). Let o(z) = -3*t(z) - 2*u(z). Determine o(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfcxfcxfxcxcfff. What is prob of picking 1 c and 1 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 31 = -2*t + 43. Solve 14*j - t = -33*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/13))**(-28))**46 assuming p is positive.\nAnswer: p**(-2576\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 + (-22)\/15. Suppose h + 19 + 3 = -5*s, 0 = -4*s - 16. Is h not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -16. Let g(r) = -25*r. Let f be g(u). What is the common denominator of 3\/10 and f\/(-112) + (-6)\/(-21)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7558 = -3*z + 5*k, -5*z + 4*z = -k - 2516. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**4 + 6422024*m**3 - 2577655938048*m**2 + 5155286188032*m = 0.\nAnswer: 0, 2, 802752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 33, 61, 95?\n\"Answer: 3*o**2 + 13*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27934 != -92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 715 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-6)*(-1 + 3\/(-6)). Let k(m) = m**3 + 4*m**2 - 5*m - 5. What is k(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 17 - 9*y to d + z*y and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 6:58 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76598680?\nAnswer: 2, 5, 1914967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 126\/17 + 8\/17*m**3 + 104\/17*m**2 + 222\/17*m = 0. What is m?\nAnswer: -21\/2, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -1751*d**7\/21 - 3835*d**3\/6 + 4*d - 289. Find the second derivative of a(x) wrt x.\nAnswer: -70040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 563, 2222, 4975, 8822?\nAnswer: 13763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0507 times -50\nAnswer: -2.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4\/(-6)*(-36)\/3 and (-2)\/(-10) + 234\/30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3625451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 + 5 + 6*u**2 - 5.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1702650 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 155977880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {d: 11, x: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 + l + 3. Let k be t(0). Suppose -k*u = 15, -3*q + 5*u = -2*q - 37. Solve 5*y + 14 = 5*b - 21, 4*b + q = -4*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, r: 3, t: 2, h: 1, i: 1}. What is prob of picking 1 r and 2 q?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 4)*40\/12. Let v(t) = -5*t + 16. What are the prime factors of v(w)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**2 + 7 - 6*z**3 - 4*z**3 + 11*z**3. Suppose u + 3 = -0*u. Let w(n) = -4*n**2 + 3*n. What is u*t(d) - 2*w(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3.3. Let z = 1.0657 - 0.5657. Which is the nearest to -0.4? (a) l (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -2)*(-432)\/(-3888)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11\/5, 5, -0.05 in descending order.\nAnswer: 5, 11\/5, 2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13748205, 13748217, 13748233, 13748253, 13748277?\nAnswer: 13748305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -241, -245, -251, -259, -269, -281?\n\"Answer: -v**2 - v - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -21*o**2 + 71*o - 7. Determine v(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35647004, -8, 4 in ascending order.\nAnswer: -8, 4, 35647004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15984 bigger than -15971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 22474260?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1008) - (-1 + sqrt(1008))) - (3 + 2 + sqrt(1008))) + -5 + (sqrt(1008) + 1*sqrt(1008)*2)*5)**2 + 3.\nAnswer: -3696*sqrt(7) + 197692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 10) to base 16\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.2521 decades in centuries?\nAnswer: 38.12521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y**2. What is the smallest common multiple of 6 and a(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 841 divide 59408724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + 3 + 21097*m**3 - 10540*m**3 - 10545*m**3 to h*m**3 + k + q*m**2 + r*m and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4 - 2*w**3 + w - 6*w**2 + 2*w**3 - 2 + 4*w**3. Let s(o) = 11*o**3 - 17*o**2 + 3*o - 17. Determine 6*s(f) - 17*t(f).\nAnswer: -2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 543.\nAnswer: 217.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 713256 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 1:09 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffgxgfyxsgfsgygxxsgs. Give prob of picking 1 g, 2 y, and 1 s.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1772778, -5, 4 in descending order.\nAnswer: 4, -5, -1772778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795*v - 839*v - 92*v.\nAnswer: -2726*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-30)\/9 + -47 + 44)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 623745 + 0*n - 311754 + 139*n**2 - 311991.\nAnswer: 139*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -78, -120, -166?\n\"Answer: -2*w**2 - 32*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**7)*m*m**(1\/2)*m*(m\/m**(-1))**(-1\/59)*(m*m**5*m**5)\/((m*m\/(m\/(m\/(((m\/(m\/(m*m**(4\/3)*m*m)))\/m)\/m*m*m)))*m)\/(m**(-4)\/m)) assuming m is positive.\nAnswer: m**(5947\/354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:53 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*w**3 - 229*w**3 - 777*w**3.\nAnswer: -1133*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -133, -169, -251, -397, -625, -953?\n\"Answer: -3*u**3 - 5*u**2 - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007552 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 37*r**2 + r - 43. Let v be y(37). What is the common denominator of ((-26)\/(-25))\/(2\/20) and v\/(-2) - (4 - 162\/21)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 0.0439687?\nAnswer: 0.3439687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 144, 203, 264, 327, 392?\n\"Answer: r**2 + 56*r + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -2*k**3\/21 + 8*k**2\/7 - 32*k\/7 - 25. Suppose u(p) = 0. Calculate p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(429)\/(sqrt(44)\/sqrt(4)))\/(sqrt(3) + sqrt(9)\/sqrt(3)*-3)*4 - ((-6*(0 + sqrt(832)) + -1)*-3)**2.\nAnswer: -269577 - 866*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-460)\/100)\/(1\/(-5)). Suppose 2*g + 34 + 4 = 0. Let z = g + c. Solve 0*o + 4*o = 3*a - 1, -a = -z*o - 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8703 - 8706. Let s = -2.1 - -0.1. What is the second biggest value in o, 28, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a90 + -1?\nAnswer: a8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 2933719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*f - 41*f + u - 9, -3*u + 7 = 2*f. Put 6, 13, -5, f in increasing order.\nAnswer: -5, f, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + (4 - 7))*1. Find j such that 0*j**2 - 2\/7*j + 2\/7*j**m + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -20*d - 22. Let h be t(6). Let i = -34 - h. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1307*f**3 - 11223*f**3 - 916*f**3 - 193*f**3 - 5326*f**3.\nAnswer: -18965*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3412 at most 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*q + 22*q**3 + 96*q.\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 + 16 - (3 + 2 + -12)) + -23?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -225194*n**2. Let i(d) = d**2. Calculate i(z(j)).\nAnswer: 50712337636*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -86 + 76 + 6*v**4 - 4*v**4 - v**4 - v**4 + v**4 + (v**3 + 0*v**3 + v**3)*(-2 + 2 + 2*v) as o + u*v**2 + s*v + c*v**4 + m*v**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 38 = -2*o, 5*n - 70 = 6*o - 9*o. Suppose 2*x - o = -8*x. Solve 3 + 1 = -2*g, -x*j = 5*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-153))\/((-246)\/(-81) - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((26 - -7) + (73 - 200))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y - 2. Let v be -2 - -2 - (-3 + y). What is the third derivative of 0*b**2 + v*b**5 - b**2 + 0*b**5 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/5 - (-1 + 4). Let x = p - -24. Let g = 56 - x. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8755931 to the power of 1\/2, to the nearest integer?\nAnswer: 2959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 288 + -280. Solve -m = -x - 2*f, 7 = -2*x + 5*f - 13 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-6 + 1 + -6 - -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(v**2 - 2*v**2 - v**2) + (-3 + 0 + 0)*(2 - 3 - 1)*(-2*v**2 + 0*v**2 + 0*v**2))*(-24*v**3 + 26*v**3 + 27*v**3).\nAnswer: -290*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 6. Let a be y(-18). Let p be a\/(-42) - (69\/(-21) - -1). Suppose -x - 34 = -5*g, 4*g + 0*g + 12 = -p*x. Which is smaller: x or -13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1016, 4088, 9218, 16406, 25652?\n\"Answer: 1029*t**2 - 15*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7144179 and 0.5.\nAnswer: 3572089.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85406897 to the nearest integer?\nAnswer: 9242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*((3 - 2 + 1)*(0 + 0 + u) + 3*u + u - 5*u + 8*u + 2*u - 5*u + 13 - 13 - 5*u + 2 - 2 + 2*u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3026873 is divided by 544?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 641536 and 26850?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 6 + (-1 + 9 - (24 + -18)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 3*l + 6. Let g be a(-3). Let i be (g - 36\/(-14)) + 208\/28. Are 5 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 7 + w**3 + 7)*(-18 + 20*w + 18)*(-6 + 1 + 3)*(0*w + 16*w + 2*w).\nAnswer: -720*w**5 - 720*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.089 + 71.911. Let y = 72.00000166 - q. What is y rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -15.82?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6002 and -34087687023.\nAnswer: -34087681021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002412434 to six dps.\nAnswer: -0.002412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277 - 123. What is the least common multiple of l and 20?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 57. Let v be z(24). Suppose -u + v = 3*o, -o + 3*o = 5*u - 165. Calculate the least common multiple of u and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 7. Suppose z = -2*p - 4*z + 7, f*p + z = 75. Suppose 7*g - 4*g - a - p = 0, -16 = 4*a. Solve 6*q + 1 = 5*q, -g*u - 20 = 4*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 476 (base 8) to base 6\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 899340 and 600?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/495)\/((-258)\/(-774))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 5*h + 4. Let g(o) be the first derivative of 7*o**3\/3 + 11*o**2\/2 + 9*o + 33. Calculate 4*g(v) - 9*k(v).\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 247404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/8 - -5 - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00187365 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 6*v + 183 = -y + 12*v, 5*y + 15*v + 690 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*i + 143 - 134 = 0, 5*i + 3 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71122*q + 28449?\nAnswer: 71122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*f = 4*f - 105, 120 = 5*d - f. Let t be (-86)\/51 + d\/15. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7397 and 285?\nAnswer: 2108145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-6)\/8) - 1. Suppose -5*c - 2*k = -591, 5*c - 342 = 2*c + w*k. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.4 + 4.4. What is the third biggest value in q, 2, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19168 and 1936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k - 172. Let y be f(12). Let o be 39\/y*(-1)\/(9\/24). Sort -16, 3, o in increasing order.\nAnswer: -16, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5749528 is divided by 821361.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/112 and -115\/6?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -68. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 0*x**2 + 0*x**3 - 1\/4*x**4 - 1 + 9*x. Let f(a) = -7*a**2. Give y(f(b)).\nAnswer: -147*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 866339 (base 10) to base 16\nAnswer: d3823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 6:52 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-168)*-2*56.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75226 is divided by 539?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*u + 24, -5*f = 5*u - 7057 + 7007 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + sqrt(57) + 2*sqrt(912))\/((sqrt(60)\/sqrt(2))\/sqrt(10)).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 82 = 270. Calculate the highest common factor of d and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*-4*8\/(-48). Let n(y) = -119*y**3 - 5*y**2 + 4*y + 19. Is n(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 + 73*b**2 + 212*b + 41. Give f(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*y + 3638 - 593 = 0, 3*y = a + 620. Let d = -13917\/23 - a. Let k = -1 - -1. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k**5 - 9*k**5 + 5*k**5 + (-k**2 + 2*k**2 - 3*k**2)*(-4*k**2 - 2*k**2 + 7650*k**3 - 7655*k**3) + (-2*k - 2*k**2 + 2*k)*(-5*k**3 + k**3 + 3*k**3).\nAnswer: -k**5 + 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001862 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077181653 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9679*4\nAnswer: -38716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210 (base 14) to base 11.\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**3 + g**2 - 2*g + 1. Let v be k(1). Let r(a) = a**3 - 6*a**2 - 15*a + 4. What is the remainder when r(v) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -131, -109, -69, -5, 89, 219?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -338986?\nAnswer: 338985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6634 divided by 3317?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336488 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2492, -1347, 594, 3331, 6864, 11193, 16318?\n\"Answer: 398*y**2 - 49*y - 2841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00341647 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-16)\/3 + 22\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31260 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1548 by 11.\nAnswer: 1548\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -23ea043?\nAnswer: -23ea044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -21. Suppose 5*f + 0 - 51 = -q, g = 5*q - 5*f - 285. Calculate the greatest common factor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**4 + 2*a**4 + 2*a**4)*(13 + 5 + 7)*(0 + 1 - 3) to m*a**3 + l*a**2 + r*a + f + j*a**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -121794.\nAnswer: -1\/40598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 367.2 + -367. Put 4\/3, 0.29, k, -1 in descending order.\nAnswer: 4\/3, 0.29, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78865977643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (305 - 137 - 123 + 20*k)*(-2 + 2 + 1) to the form o + s*k and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*5*(-33)\/(-66)*(-52)\/(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 241.623 and -8.\nAnswer: -1932.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2540 and 2751836.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -121 + -2db7a?\nAnswer: -2dc9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 8, -2*d - 240*g = -238*g - 6 - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -268+593515836758\nAnswer: 593515836490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Suppose 3*v + 3 = -a*v. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -15, 14*p + 3*s + 225 = 19*p. Suppose -22*k = -19*k - p. Solve -11*d + k*d + 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**2 - 37*j + 39. What is k(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - c + 95 = 0, -2*f + c = -2*c - 55. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4 - 616*o**3\/3 - 12160*o**2 - 46208*o + 976. Solve q(p) = 0 for p.\nAnswer: -76, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 3*j - 3*j)*((6 - 2 - 1)*(-1 + j + 1) - j + 4*j - 2*j + (23*j + 74*j + 41*j)*(4 - 2 - 1)).\nAnswer: 284*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, -3\/37, -95, 0.14 in ascending order.\nAnswer: -95, -2, -0.1, -3\/37, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -7562, -8811?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3145508 is divided by 222?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 1)\/(6\/30*5). Let s(a) = -4*a + 9*a**2 + j*a - a - 2*a + 4. Let p(b) = -5*b**2 - b - 2. What is -7*p(f) - 4*s(f)?\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 618 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, 0.108369, -3, -17?\nAnswer: 0.108369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occ when three letters picked without replacement from cfofocoofccgc?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 3*v. Let o(u) be the third derivative of -u**4\/24 - u**3\/2 - u**2. Let a be o(v). Solve 3*y + j - 2*j + 6 = a, -3*y = 3*j + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -4842617?\nAnswer: -4842623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + -1*(0 + 3)\/(-3). Suppose z - r = -4*k, 15 = -4*z - k + 63. Solve 5*l - 8 = -4*g - 0*g, 0 = -4*g - z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Find the third derivative of -4*a**s - 11*a**3 + 0*a**3 - 13*a**2 wrt a.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {e: 3, s: 1, n: 2, j: 3, u: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 + 4 + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*t - 2 - 16*t**3 - 115*t in the form r*t**2 + q + j*t + n*t**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 = 4*i, -8 = 13*i - 14*i + 3*g. What is the third derivative of 32*x**3 - 20*x**i - 6*x + x**2 + 17*x**2 wrt x?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.0385, -4, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - (-61)\/30 - 2 - (-98)\/1176 and 133\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k. Let z be d(8). Suppose -h - 8 - 3 = 0. Let c(u) = u + 15. Let m be c(h). What is the highest common factor of z and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**3 + 7*x**2 + 2*x + 5. Let i be t(-5). Let g = i - 142. Calculate the common denominator of ((-34)\/70)\/(66\/g) and -7\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 17*t**2 - 14*t**2 + 27*t**2 - 1. Let c(n) = -17*n**2 + 4*n - 4. Determine 2*c(j) - 9*l(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b (base 14) in base 6?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 8*h**2 + 6*h + 16. Let v be i(8). Let a = v - -18. Let b = a + -34. What is the greatest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30629441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -15267 < -15269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146976793 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 168396271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 4*n**2 - 3*n - 1. Let m be h(-3). Let a = -0.03 + 2.03. What is the smallest value in a, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 52380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b4 - -1?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 11, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(m + 3*m - 3*m) + 2 - 4*m - 2 - 6*m - 3*m + 19*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 38) + 0 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15552154 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + -183?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from mmqmqmmqmmmm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 6 - 2 = 32 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*f + 966 = 2*n, -4*f = 3*n - 712. Suppose 5*l - 13*l + n = 0. What is the highest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522705 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -68. Let d = 52 - z. Find the second derivative of 19*k**4 - 13 - 11 + 16*k + d wrt k.\nAnswer: 228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-62)\/42) + (-208)\/182\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/9)\/(2\/(-3)))\/((-147)\/42).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 837402 or 837405?\nAnswer: 837402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 436410 to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 149 + -24448.66\nAnswer: -24299.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -293421 and -293740 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*h - 71, 42*x = 57*x + 4*h + 124 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*-1 + sqrt(68))\/sqrt(4))**2 - 2*sqrt(425)) + (sqrt(34) + sqrt(170)\/sqrt(5))\/sqrt(2)*-4.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/672*12 - 3\/(-24). What is the closest to x in 2, -5, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41 + 4?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2335385950 to the nearest integer?\nAnswer: 48326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795194097 and 18024?\nAnswer: 2253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*w - 540 = 0, 5*m + 3*w - 85 = 393. What is the remainder when 2098 is divided by m?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 9*l - 6. Let q(p) = -14*p + 9. Calculate 8*k(h) + 5*q(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 164? (a) 0.4 (b) -2\/13 (c) -165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 3*m - 2*h, -3*m + 5*m - 183 = -h. Calculate the greatest common divisor of 405 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -933\/25825 - 4\/1033. Which is the nearest to 19? (a) -5 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) -5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (576\/42)\/12*2387\/(-62)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4212 and 2945787?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*k*l**3 + 2*k*l**2 - 958*k*l - 3*k - 1595494*l**3 - 1 wrt k.\nAnswer: -15*l**3 + 2*l**2 - 958*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 25. Suppose -2*v - p + 34 = r, 2*p + 60 = 4*v. Let z be (-6)\/8*5\/v. Which is the second smallest value? (a) -0.01 (b) z (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-6 + -1 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 29.298.\nAnswer: -205.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1\/1438, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 1, e: 3, k: 1, i: 1, h: 5}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 141260\/(-9) - (-128)\/(-288). Let j = -5163990\/329 - z. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(12))\/(((sqrt(12)*-1 - sqrt(12)) + sqrt(12))\/sqrt(3)))**2 + -1 + 1.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2260 - 4?\nAnswer: -2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 + -2457409779\nAnswer: -2457409779.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2)*72\/35)\/((-114)\/532)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30767786?\nAnswer: 2, 7, 44851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6*y + 16. Let q(f) = 25*f**3 - f**2 + f - 1. Let g be q(1). Let s be 20\/g*4\/10. Which is the nearest to -0.1? (a) y (b) 2\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 877*m - 1270*m - 1284*m - 1414*m in the form w*m + q and give w.\nAnswer: -3091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12716669, 12716640, 12716611, 12716582, 12716553, 12716524?\n\"Answer: -29*v + 12716698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15782157 is divided by 1140.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2567 + 2589. What is the smallest common multiple of x and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 39 = 4*r. Suppose -d + r*s - 1 = -5, -5*d - 5*s + 20 = 0. Suppose 4*w = -2*f + 3*w + 5, -4 = -d*w. What is the remainder when 8 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*r + 24*r - 7*r + 37*r to v*r + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -124739 or -124740?\nAnswer: -124739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5161663 by 13.\nAnswer: 397051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 711835.5 hours?\nAnswer: 2562607800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/20 + b**4\/4 + b**3\/3 + 3*b**2\/2 - b. Let n be p(-2). Let g be 34\/8 - 2\/8. Put g, n, 5 in ascending order.\nAnswer: n, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1270 (b) 5 (c) 0.652 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**6\/120 + s**4\/12 - s**3\/6 + 2*s**2. Let w(t) be the first derivative of n(t). Differentiate w(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 9:30 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(102)*4)\/sqrt(6)*5.\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eb94 + a?\nAnswer: eb9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39625613 > -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + x. Let b be m(-1). Let c be b + 4\/(12\/9). Suppose s**2 - s**c + 3*s**3 + 2*s**4 - s**3 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**3 - 3*x**2 + 4*x - 2. Let t be l(1). Suppose -t*h + 14*h = 11*h. Solve -1 = -g - h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1, 0.2, 3\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 325 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*p**2 - 4*p - p + 31*p**2 in the form g + l*p**2 + d*p and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 20 = -47 - 45 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -29. Let i be (-505)\/(-10) - x\/(-4). Let l = 122 + -88. Calculate the greatest common divisor of l and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjvvovzzizjjcvv. Give prob of sequence vz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)\/v)**(2\/7)\/(v*v\/v**0*v*v)**(-33) assuming v is positive.\nAnswer: v**(926\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/8 - 1801*v\/8 + 225 = 0. What is v?\nAnswer: 1, 1800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -219, -258, -333, -456, -639, -894, -1233?\nAnswer: -1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.05 - -0.05. Let n = z - 0. Let x = 2.005 + n. What is x rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 171. Let c(z) = -z. Give c(j(x)).\nAnswer: x - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 268\/5 - 54. Are b and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 7*d**2 + 6*d - 9. Give f(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**3 - 7535*f**2 - 2504475*f + 23154255 = 0. Calculate f.\nAnswer: -1003, -513, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1759 + -1757. Let k be (-29)\/3 + (-11)\/33. What is the second biggest value in k, m, 1, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129816\/5 + 23546. Let q = l + 2426. What is the common denominator of ((-178)\/6)\/((-10)\/3) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 310.2?\nAnswer: -1551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 79 and 37.9932.\nAnswer: 116.9932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5758.728 millennia?\nAnswer: 57587.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 317197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 23. Suppose 4*v + k = 11, -o*v - 4*k + 3*k + 14 = 0. Let h(r) = 5*r**2 + 5*r + 2. Let z(a) = 2*a**2 + 2*a + 1. Calculate v*h(f) - 8*z(f).\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -157670000 to the nearest one million.\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 2*z + 2*z + 1 - 1 + 2*z + (z - 4*z + 5*z)*(-1 + 2 + 1) + (0 + 0 - 2*z)*(220 + 224 - 203).\nAnswer: -474*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Suppose k*b - b = 3. Solve 0 = 6*u - u + 2*r - b, -11 = -5*u + 3*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5984209, -5984177, -5984145?\nAnswer: -5984113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283354.\nAnswer: 2, 141677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 5*y - 29, 4*p - 3*y - 520 = -544 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2. Let h be m(1). Let f be -1 + (0 - h) + 1. Differentiate -l**2 + 2 - l**3 + l**f with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1666) + -1*sqrt(1666) - sqrt(1666) - sqrt(34))*6)\/(sqrt(2)*-1*-3*6).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 27. Suppose -2*v = 5*r - 7*v - p, -5*v = -3*r + 14. Let j = 7 - r. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 678 divided by -6\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 100\/(-40)*(2\/2 - -12) and (-4)\/2 - (-2655)\/3024*3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 11, 5, -62, -97?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*x + 6311 + 2929, 4*x - 7392 = -p. Let j = x + -1064. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23458 plus 0.07?\nAnswer: 1.30458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*j + 141*j - 285*j + 3*j**3 + 2*j**4 - 4 - 2*j**2 to the form u*j**2 + k*j + f*j**3 + o + y*j**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 5:07 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 19*m**2 - 40*m - 47. What is w(21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3728*v**2 - 188*v + 4 wrt v?\nAnswer: 7456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 28 = g + 10, 3*d = -5*g + 69. What is the smallest common multiple of 50 and g?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16640 divided by 160\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 639668, 639672, 639676, 639680, 639684, 639688?\nAnswer: 639692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/20 and 157\/4260.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*r**4\/7 + 2512*r**3\/7 + 40896*r**2\/7 - 103680*r\/7.\nAnswer: 4*r*(r + 36)**2*(9*r - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63964464.\nAnswer: 2, 3, 139, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 704304 to the power of 1\/2, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/945, -0.4, -4, 3, -2\/57?\nAnswer: -1\/945","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2463 less than or equal to -115827\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**7\/630 + q**4\/6 - 5*q. Let u(y) be the third derivative of t(y). Let a(v) = 4*v. What is a(u(c))?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fftt when four letters picked without replacement from qfttqqttftq.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4836\/(-434))\/(-39)*(-2)\/16\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 5*z**3 + z**3 + 0*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 6. Suppose -4*v + 3*r + 42 = -43, 0 = -2*r + 10. Suppose 3*j = q*j - v. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 4*q - 81. Calculate the least common multiple of 30 and q.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 - 423.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(27) - (sqrt(13) - (sqrt(468) - sqrt(468)*2 - sqrt(468))**2).\nAnswer: -2*sqrt(13)\/3 + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(27\/36)*6\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 1\/4, -1\/2, 3 in decreasing order.\nAnswer: 3, 1\/4, 0.07, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002292 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3846 + 12?\nAnswer: -3834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert bdc67 (base 14) to base 13.\nAnswer: 1318ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -212011210?\nAnswer: -212011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 + 111. Suppose 3*b - 4*t = 0, b + o*t = -3*b + 28. Solve -4*r - 8 = 4*z, b*z + 4*r + 7 = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7795 = 56*s - 7739 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -72 from -2217.\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*p - 24*p - 40. Solve p*w + 3*w - 4*v = -11, 0 = -w + 5*v - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42933 is divided by 361?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -866681 + 4*j + 5*j + 866681. Let o(l) = -14*l**2. Give u(o(n)).\nAnswer: -126*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 307, 453, 587, 703, 795?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 202718 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2838)\/8041)\/(4\/238).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.88252657 to 2 decimal places.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -14*c + 17*c. Let o(q) = q**3 - 4*q**2 - 3*q - 3. What is the remainder when o(5) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -0.1, -1, 52036?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c + 86 - 2*c - 82. What are the prime factors of p(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -189, -382, -575, -768?\n\"Answer: -193*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifths of a decade in years?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2544, -2518, -2482, -2430, -2356?\n\"Answer: l**3 - l**2 + 22*l - 2566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3774473 is divided by 726?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, e: 5}. Give prob of sequence eaa.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -29. Let n = -13 - v. What is the third derivative of -u**n + u**2 - 4*u**5 + 3*u**2 wrt u?\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16593528*r**2 - 4*r + 16593532*r**2 + 4*r.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.14755 - -8.\nAnswer: 5.85245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*c + 2 - 42, 2*v - c - 20 = 0. Suppose 59 = v*t - 11. Let o(a) = 2*a**2 - 10*a. Calculate o(t).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + 5 + 2*sqrt(720) + (sqrt(720) + 1)*-2 + (2 + sqrt(720) + -1)**2).\nAnswer: 144*sqrt(5) + 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14645 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9074330, 9074332, 9074334, 9074336, 9074338?\nAnswer: 9074340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 592270.9 decades to years.\nAnswer: 5922709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 3*b**4 + 402*b**2 - 320*b**3 - 203*b**2 + 40*b**5 - 211*b**2 - 81*b**4 + 280*b = 0 for b.\nAnswer: -3\/2, -1, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 5*t**7\/42 + t**6\/24 - t**5\/3 - t**2 + 3. Determine a, given that l(a) = 0.\nAnswer: -1, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*t = 941*t + 6784 - 99 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/8 - d**2. Let z(p) = -4*p - 23*p**2 + 4*p + 21*p**2 + 0*p. Give z(q(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + -4*(sqrt(112)*2 - sqrt(112) - sqrt(112)) + sqrt(112) + (3 + sqrt(112) + (sqrt(112) - sqrt(112)*1) - (0 + sqrt(112) + -4)))**2.\nAnswer: 200*sqrt(7) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 12:58 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301896 divided by 5391.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a**2 - 2*a. Let z(l) = -19*l**2 + 3*l + 1. Let j(o) = 5*m(o) + 2*z(o). What is the units digit of j(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**3\/3 + h**2\/2 - h - 5. Let r be v(0). Let a(f) = -f - 1. Let j(z) = z**2 + z + 4. Calculate r*j(d) - 2*a(d).\nAnswer: -d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -4.26.\nAnswer: 29.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2. Let c(r) = -144*r. Give w(c(a)).\nAnswer: -20736*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 27581829 divided by 43\nAnswer: 27581829\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.017 in -4, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156408, -312882, -469356, -625830?\nAnswer: -782304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 4*o + 8, 5*y - 1 = -2*o + 27 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11820*k + 29435*k + 2*k**2 - 5934 + 5932 + (0 + 0 - k)*(-3 + 3 - 2*k).\nAnswer: 4*k**2 + 17615*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddrr when four letters picked without replacement from {d: 10, r: 2, t: 2}?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180368984 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 9984 = 505*a - 81*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10494 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 - 333 = 5*y + k, -4*y - 8 = k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 7 + 9 = 0. Suppose 2*t - 35 = 5*j, -5*t = j - 21 + f. Calculate the highest common divisor of t and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 1 v when three letters picked without replacement from vtnnnvtvvvtvnvt?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57993*u = 2*l - 57991*u + 14, -12*l + 4*u - 52 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 5*t - t)*(2*t**2 - t**2 - 2*t**2) + 20*t**3 - 6*t**3 - 11*t**3.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11412106 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 23*j - 26*j - 10*j - 2*j**2 + 10*j.\nAnswer: -2*j**2 - 52*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -2\/42363 (c) -5 (d) -3.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -29 + 19*l - 16*l**2 - 34*l + 2 - l**3. Let a be p(-15). Let y be ((-153)\/a)\/((-4)\/(-3) + -1). Solve 5*t + 8 = -y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314506973 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 1, 2, 0.01, 1691, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/sqrt(2))\/sqrt(3) - (-2 + (sqrt(19) - sqrt(19)*-3)))**2 + sqrt(684)*-2 + (2*sqrt(19)*-2)**2.\nAnswer: -24*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-30))\/((-296)\/222)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:34 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816*v - 55315 = 9965 for v.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3544532, -3544512, -3544478, -3544424, -3544344?\nAnswer: -3544232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -123, -6, 111, 228?\n\"Answer: 117*o - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 331 - 342 - (6 + 2 + -3 - -55).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-45)\/6)\/((-11)\/(-22)). Find t such that -2*t - 16*t**2 - 32*t**3 - 3 + 16 - a = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 4*f**2 - f + 6. Let n be m(3). Let g be (n\/(-15))\/((-28)\/10). Which is the closest to 1? (a) -2\/13 (b) 17 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*j**2 + 762\/13*j - 764\/13.\nAnswer: 2*(j - 1)*(j + 382)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 2:06 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3711780 divided by 5?\nAnswer: -742356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = 0, -28*a - 5*h = -23*a - 10. Suppose 5*m - a*n = -3*n + 22, 3*m = n + 10. Solve -m*q = 3*i - 3, 3*i = 2*q + 2*q + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 329, 0.4, 5, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 47*d**2 - 3*d - 1. Suppose 0*t + 15 = -5*t. Is s(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*k - 6 + 16, 5*h - k = 17. Suppose 5*y + 1036 = 4*z, 0 = -h*z + 3*y - 7*y + 777. What are the prime factors of z?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*i**4\/9 + 3046*i**3\/9 - 35680*i**2\/9 + 108584*i\/9 - 12640\/3 = 0. What is i?\nAnswer: -316, 2\/5, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*i - 155 = -0*i, -5*i = -5. Let l = 24 - n. Suppose 0*d + l = 4*d. Solve 0 = -3*f + 5*p + d, 5*f = -3*p - 0*p - 30 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 91?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 14\/(-4))\/((-1)\/900*15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7945340*v**2 - 5947681 wrt v?\nAnswer: 15890680*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**37*t*t)\/t**(-23))\/(t**0\/(t*t\/(t**(-18)\/t))) assuming t is positive.\nAnswer: t**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95328 = -2*p - 15*o + 14*o, -143001 = -3*p + 3*o. List the prime factors of p.\nAnswer: 5, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 598 = 4*b + 6*f, 0 = 5*b + 5*f - 760. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + i - 4*j = 11, 3*i = -2*j - 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooloobooblboogbolob. Give prob of sequence bogb.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -38873238.88 plus 32.1355?\nAnswer: -38873206.7445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505.2002 millilitres in litres?\nAnswer: 0.5052002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 1, m: 2}. What is prob of sequence mmle?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.26379 decades to months.\nAnswer: 4831.6548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264671209?\nAnswer: 1264671209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/3 - 3301442*m**3\/3 + 6602878*m**2\/3 - 3301438*m\/3.\nAnswer: 2*m*(m - 1650719)*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189628881?\nAnswer: 7, 169946983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-105072)\/15920*(-5)\/18\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v\/(v*v\/v**(-2\/33)*v*v*v))\/v*v*v**(-2\/135)\/v*v*v assuming v is positive.\nAnswer: v**(-3082\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -0.4 (c) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 4.8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**2 - 4*g**2 - 18*g**3 - 18*g**3 + 3*g**2 + 3445*g - 240*g**3 wrt g.\nAnswer: -1656*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/6 - 131462675*w\/3 + 17282434918155625\/6 = 0. What is w?\nAnswer: 131462675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = r + 12, -3*r - 20*y + 18*y = -15. Let n = -3 + 1. Which is the second smallest value? (a) n (b) r (c) 2\/5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*t + t. Let p be (t\/4)\/((-5)\/(-320)). Is 10 a factor of (-8)\/p - 158\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/236 and -89\/4366.\nAnswer: 8732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 19 + 30 = s, -4*s - 5*h + 22 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -401 - -1401. Round t to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/2*-1 - 203\/29. Let c be 113 - (-2)\/y*2*4. Suppose 5*i - 404 = c. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, 0.52.\nAnswer: -0.2, 0.4, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sslsslsllsslp. Give prob of sequence spp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 820 - 497. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66831.2304 and -0.0595.\nAnswer: -66831.2899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 131 = -566. Calculate the greatest common divisor of 164 and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 7*k - 24. Let r(y) = -5*y**3 - y**2 - y + 4. Let s be r(3). Let c = k - s. List the prime factors of c.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4065 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 1722 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/320*4\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 4*l + 96 = 0. Does 12 divide 2\/l - 2365\/(-66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(sqrt(3)*2 + sqrt(3) - sqrt(3)) + -2 + -1 + (sqrt(12)\/sqrt(4) - sqrt(3)) + -4)**2.\nAnswer: 80*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12)*-1*((-352920)\/(-3633))\/(2\/7).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 3*o + 4*s + 5 = 0, -s = -2*o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) -20 (b) -8\/199 (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1010)\/15*(-27)\/6. Suppose 0 = 8*o + z - 951. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*n - 47870 + 2146. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c - 131. Let s be j(10). Solve 3*t = s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25457 + 14?\nAnswer: 25473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 1)*(-24*f**4 - 4*f**4 - 999600*f**3 - f**2 + 999598*f**3) to the form n*f**4 + x*f + k + p*f**3 + h*f**2 and give n.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/60552 and 20\/641799?\nAnswer: 148897368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 - 69 + 24 + w**2)*(-2*w**3 + w**3 + 0*w**3).\nAnswer: -w**5 + 152*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 4*p + 5. Suppose -3*y + 9*t - 5*t = 0, 2*y = -5*t + 23. Let g = -13274 + 13288. Calculate the lowest common multiple of g and b(y).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = 16. Suppose 0*g = 3*g - d - 53, 44 = 4*g + k*d. Suppose 0 = -2*i + 38 - g. Solve -6*v + i*v = 4*h + 36, h = -v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 1:31 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 - 9) - (-35 - -29).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 39*c. Let h(o) = -56*o**2 + 196*o. Let i(z) = -13*z**2 + 49*z. Let t(f) = 6*h(f) - 26*i(f). What is t(j(w))?\nAnswer: 3042*w**2 - 3822*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57018887 + 4?\nAnswer: -57018883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -679 and -700 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1784, -3, -12 in decreasing order.\nAnswer: 2, -3, -12, -1784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -1\/4*c**4 - 17*c**2 + 0*c**3 + 2 - 29*c. Find the first derivative of q(x) wrt x.\nAnswer: -3*x**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 371*s - 2702. Does 14 divide z(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*q**5\/7 - 80*q**4\/7 + 12*q**3\/7 + 16*q**2\/7 + 2*q\/7.\nAnswer: 2*q*(q - 1)**2*(5*q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - 6. Let z = t - -26. Is 24 a factor of 4*z\/(-1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2730, -2733, -2736, -2739, -2742?\n\"Answer: -3*b - 2727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -47083.07938 to the nearest 100.\nAnswer: -47100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25342 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -236, -522, -924?\nAnswer: -1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 18 + 4*h**2 + 7*h - 3*h - 5*h**2 + h. Let n be w(7). Solve 12 = 5*i - 4*u + u, n*i + 3*u + 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138572104 to the nearest integer?\nAnswer: 11772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3726.091 microseconds to nanoseconds.\nAnswer: 3726091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-15552)*4*153\/136*1\/(-1).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 6:19 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109.1 + -110. Which is the nearest to u? (a) 0.6 (b) 1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/8)\/(2\/20*-1). Suppose -f = -3*o + 3. What is the second derivative of -8*b**2 + 14*b**2 - o*b**2 + 13*b**5 + 15*b wrt b?\nAnswer: 260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 251298.4 years to millennia.\nAnswer: 251.2984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2981229 is divided by 1425?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 2*u**7\/105 + u**5\/60 + u**2\/2 + u. Let b(s) be the first derivative of v(s). Find the third derivative of b(m) wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -735 + 722. Sort c, -1, 4, 1 in decreasing order.\nAnswer: 4, 1, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9027 is divided by 794?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 - 1. Let x be i(-1). Solve -x*d = 0, 4*d - 15 + 0 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891488566 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 16. Suppose c*b - 19 = 11. Solve -2*s = -0*s + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 19 = -5*h + l, -4*h - 2*l = -18. Solve h*a + 12 - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*s = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -21. Let f(p) = p**2 + 10*p - 8. Let w be f(-11). Suppose -s = -3*v - 6, -w*v + 6 = 4*s - 3. Solve 2*k + l = 2*j, 0*k - s = k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a + 17. Let u be x(-5). Let f = -15 - u. Suppose 5*y + 4*w = -5, -2*y + 6*y + 5*w + 13 = 0. Solve 12 = y*g, -5*g = 2*t + 3 - f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -27*p**3 - 5*p**2 - 19*p + 21. Calculate w(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -3. Let h(f) = -f**2 - 5*f + 1. Let m be h(-4). Put 4, s, -5, m in ascending order.\nAnswer: -5, s, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f*p**2*y - 15*f*p*y**2 + 3*f*p + 2*f*y**2 + 50*p**2 with respect to y.\nAnswer: -4*f*p**2 - 30*f*p*y + 4*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -s - s - 38, s - 26 = -2*r. Solve -7*j + 2*j + r = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3136 - 3131. Solve 0 = 5*h + 20 + g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/5 (b) 26 (c) 2 (d) 5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 2999205?\nAnswer: -14\/2999205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -26 + -13 + 1 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 7 = -5 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130541 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*q - 5803 - 8681 = 0, 5*q = -3*g + 8698. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 9:43 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55658 - -1715?\nAnswer: -53b43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (4 - 3)*-3. Let j = -4 + 6. Is z bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36339 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wan when three letters picked without replacement from waiannwwwn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8942 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, and 1 b when three letters picked without replacement from {b: 1, k: 2, h: 4, s: 3, c: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6031, -6017, -5993, -5959, -5915, -5861, -5797?\nAnswer: -5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 5:33 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33\/7 + 4\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 divided by 5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let f(r) = r + 2. Let y be f(0). Let a be (y + -24)\/(-1 - i). What is the highest common factor of a and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-4375)\/(-10)))\/(1338\/(-6690)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-84) + 2\/14 - 22\/((-13200)\/42050).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**6\/1080 + n**5\/540 - n**4\/36 - 4*n**2 - 4*n + 70. Let m(b) be the second derivative of w(b). Factor m(v).\nAnswer: v*(v - 2)*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5}. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 603, 161, -281, -723, -1165, -1607?\n\"Answer: -442*x + 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = 0. Suppose c = 4*o - s - 2, 1 + 6 = o + 3*s. Solve -3*x + 4*q + 5 = o, x = 3*q - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = l - 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4751 bigger than -1286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d - 54. Let s(g) = -g + 62. Is 20 a factor of s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -22123551?\nAnswer: 22123553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102122010 - 222?\nAnswer: -102200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/6 + 14*m. Let z(y) = 40*y**2. Determine z(q(s)).\nAnswer: 160*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*r - 405 = 41*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0568*17\nAnswer: -0.9656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12842254.\nAnswer: 2, 6421127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3051855 is divided by 1206.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 40.15005 and 3743.5753.\nAnswer: 3783.72535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, l: 4, n: 1}. What is prob of sequence lnff?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.9 + -0.102.\nAnswer: -43.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620531*q - 620531*q + 0*q**2 + q**2 - 16 - 3*q**2.\nAnswer: -2*q**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 1:26 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51385 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(24\/7))**20)**(5\/3))**(1\/10) assuming n is positive.\nAnswer: n**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-36))\/2)\/(-1*1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 522 - 548.9. Round m to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11388309 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-24)\/(-5)))\/((-2)\/(-6))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 93.94848 centuries?\nAnswer: 9394.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054 is divided by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h. Let b be 6\/((-1)\/((-2)\/2)). Let w = b + -9. Put w, h, 4 in decreasing order.\nAnswer: 4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*a + 141 = 0, -2*x + 5*a + 76 + 33 = 0. Suppose -5 = -o, 3*o - 157 = -5*c - x. Let t be ((-4)\/3)\/(8\/(-24)). Solve 4*g - c = -t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 12*i + 4. Suppose 1412 = i*w + 416. Suppose 20*z - w = 17*z. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*c - 78*c + 0 - 2 + 36*c - 420*c**2 to p + j*c**2 + s*c and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 262356 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2189996 or 2190000?\nAnswer: 2189996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 - -1.2. Let g = -14.2 + 14. What is the nearest to -3 in g, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two sevenths of a week?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 237307893.999959 - 237307791. Let q = t - 103. Round q to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20212120 - -11?\nAnswer: -20212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1834 = g + 2*u - 2519, 13077 = 3*g - 3*u. Suppose -4*m + 2934 = 2*q, -108*q + 105*q = -5*m - g. Round q to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 50?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4\/5 + 24842205*r**2 + 8916*r = 0.\nAnswer: -2\/11145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 56186514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) -2\/263 (c) -1\/8 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100111100110001111 (base 2) in base 13?\nAnswer: -272a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/(-540)*(-12)\/(12\/(-3)). Let l = 1330 + -59842\/45. Let z = t - l. Sort z, 1, -2.\nAnswer: -2, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127422189 a multiple of 2485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - 3. Which is smaller: p or -6\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -155221?\nAnswer: 155213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.057 - 0.157. What is the closest to -1 in 2\/3, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 1603111?\nAnswer: -1603116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175171\/7 - -25024. Let f = 234 + -60373\/258. Let g = f + 710\/129. Find the common denominator of g and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + -2 - (-5 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.6196 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 628781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2304*h**5 - 30912*h**4 + 112708*h**3 - 92024*h**2 - 85596*h - 14112 = 0?\nAnswer: -7\/24, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*((h**(-2\/7)\/h)\/h*h)\/h*h*((h**(4\/3)*h*h)\/h)\/h*((h\/h**(1\/3))\/h*h)\/h)**9)**(-19) assuming h is positive.\nAnswer: h**(-3249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/15 and -17\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3378780411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2745 divide 377723568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2414212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1536) - (sqrt(1536) + -2*sqrt(1536))) + sqrt(1536))\/(sqrt(32)\/(sqrt(4)*2)) + ((sqrt(27) - (-3 + sqrt(243))) + -5)**2.\nAnswer: 112 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*y + 165, 150 = 5*y - 4*p - 55. Let z(r) = -r + 4. Let k be z(0). Suppose 0*f = k*f - 20. What is the greatest common divisor of f and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22344, 22481, 22618?\n\"Answer: 137*i + 22207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**5\/5 + 179*f**4\/3 - 724*f**3\/3 - 9*f + 333. Factor l(i).\nAnswer: 4*i*(i - 2)*(i + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 1. Let m = 1 + -2. Let d be (-240)\/(-110) + (-4)\/22. Let x(u) = -d*u**2 + 6 - 4*u**2 - 1 + 5*u + 8*u**2. Calculate m*x(y) - 4*p(y).\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27056 take away -102.06?\nAnswer: -26953.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - a - 4. Let h(c) = 4*c**2 + 4. Let y(b) = -2*h(b) - 3*p(b). Let v be y(-3). Let r = -3 - -6. Sort r, -3, v in increasing order.\nAnswer: -3, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 387578196 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132302042310 - 3?\nAnswer: 132302042302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 3.46, 8221, 0.04?\nAnswer: 3.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*b + 981 = 0, -j + b = -6 - 241. Suppose -5*i + 3*i = -j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(2*sqrt(9)*6 + sqrt(9)) + -5 + 1 + sqrt(5) + 2 + sqrt(5) + 1)**2.\nAnswer: -54*sqrt(5)\/13 + 3814\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(640) - sqrt(640)) + sqrt(640) - (sqrt(250) + -4*sqrt(250) + sqrt(10)))\/(-1*(sqrt(245)*1 + sqrt(245))*1).\nAnswer: -19*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 + 6) - (16 - 16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 845 and 653537.\nAnswer: 552238765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 19 (b) -4 (c) 24\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjvyvqj. Give prob of sequence jv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7751731 by 1.\nAnswer: -7751731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-8)\/6 + -2. Let f(b) = b**2 - 2. Let l be f(-2). Suppose l*o + 24 = 4*o. What is the greatest common divisor of o and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160407 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -99*y + 2890. What is g(16)?\nAnswer: 1306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141 - 276. Let t = d - -141. Solve p + t = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 22. Suppose -v*c + 17 = f, 3 = -f + 2*c - 5. Solve 3*r + f = -7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.40752961 to 0 decimal places.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 9) to base 6.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 8\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416380 + 0.0079.\nAnswer: -416379.9921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from kjkkkjkjjjjj?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-2))\/((-4)\/(-20)). Suppose 7*n - 2*n + t*m - 40 = 0, -5*m = 2*n - 10. What is the least common multiple of n and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2638348 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 202 (c) 4 (d) 298 (e) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + c**2 + 4. Let j be b(0). Solve -5*n + j*n + 4 = 0, -4*n + 18 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, e: 3, f: 2, q: 1, z: 1}. What is prob of picking 1 f, 1 z, and 2 m?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 12*w**2 - 20*w + 16. What is the hundreds digit of f(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273 by -340105.\nAnswer: 273\/340105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 792?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*c - 2*r - 52, r + 26 = -c. Let d = c - -28. List the prime factors of (-1 - 2) + d + 375\/5.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1418.6 + 1416. Which is the biggest value? (a) z (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = -5*r, -f + 4 = 2*r - 4*r. Let d(p) be the second derivative of 1\/12*p**4 + 2*p**2 - 2\/3*p**3 - 2*p + r. Find o such that d(o) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - m - 96 = -0*m, 3*a = -4*m - 61. Let j = 51049\/9 - 5680. Calculate the common denominator of a and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 155*w - 929. Let v be x(-61). What is the greatest common divisor of 19 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -431, -59, 313, 685, 1057?\n\"Answer: 372*m - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 3*d + 71, -5*t + 184 = 15*d + 59 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/10)\/((-8)\/(-10)). Let q = 4 + -4. What is the nearest to q in m, 1, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 69 = -2*m, 3*m = -0*h + 4*h - 320. Let r = 849\/11 - h. Let y = 1 - 4. What is the smallest value in y, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 2*a + a)*(-4*a - 49 + 13 + 1).\nAnswer: 8*a**2 + 70*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.075 + 0.075. Let t = c - -21.1. Let a = -0.7 + 0.85. Is a at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 3, -0.5, -0.04, -0.3, 274?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 5413*z**4\/2 - z**3\/3 + 5*z**2 + 11*z - 3. Let j be n(10). Suppose 2746011 - j = 4*i. Round i to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34892533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, 3, 4, -478, -1, -12.\nAnswer: -478, -12, -10, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*z - 39 = -45, 2*z + 6 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1260 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.1 (c) -3 (d) 512\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21770 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/28980 and 71\/18015095.\nAnswer: 648543420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19013.\nAnswer: 19013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31940013 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9514009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 63b9851?\nAnswer: 63b9853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m + 13. Let v be y(2). Suppose v*q = q - 4*q. Solve q*r = 5*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39.2975 - -16.207204\nAnswer: -23.090296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 + 76*u**4\/3 - 440*u**3\/3 + 20*u**2 + 434*u\/3 - 136\/3 = 0. Calculate u.\nAnswer: -17, -1, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 4*k**2 - k + 2. Let p be (-21 - (-9)\/3)\/(-2). Let o = -7 + p. What is the lowest common multiple of o and m(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006147372 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4, 6, -2649, -9, 2 in ascending order.\nAnswer: -2649, -9, -5, -4, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.23 - -436.23. Let t = 180087700 - 180087274.000297. Let l = t - c. Round l to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 2*k**3 + k**3)*(5 - 4 - 3) + (4521 - 4521 + 73*k)*(-4*k**2 + 0*k**2 + 2*k**2) - 2*k + 2*k - k**3.\nAnswer: -149*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3642 - 3793 = p, -2*p - 1 = 1 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37811, -75621, -113431, -151241, -189051, -226861?\nAnswer: -264671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 20 = 0. Let t be o + (0\/(-4))\/(-5). Which is the biggest value? (a) -0.02 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from bpplcmcmmmlpbppbppmp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfe when three letters picked without replacement from hhrrehfbfrfrf.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w = -2*y - 47*w + 17, 5*w = -16*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 30*o**3 + 9*o**2 + 96*o + 60.\nAnswer: -3*(o - 2)*(o + 1)**2*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*t + 45 + 17. Find the second derivative of 5*l**t - 4*l**2 - l**3 - 221*l + 14*l**3 + 20*l**3 wrt l.\nAnswer: 198*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -324.057 - -3.657. Let k = o + 242. What is k rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 + 4 - 2) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48000 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*((-386316)\/365)\/49?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g - 25 + 225 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 9*l. Determine p so that 0 + 2\/3*p**3 + 0*p**2 + l*p = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1518 + 1514 = 2*t + 3*n, 7 = -t + n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6605171?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 88 = -11*a. Suppose 16*y + 275 = a*y. Calculate the lowest common multiple of 10 and 22\/y - (-184)\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(0 + -2). Let r = -31 + 33. Sort 5, r, q in descending order.\nAnswer: 5, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2. Let c(d) be the third derivative of -11*d**5\/60 + 6*d**2. Determine g(c(t)).\nAnswer: 242*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215 + -52. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(14\/3))\/z)\/z**(2\/3)*z**(-15)*z*z**(-2\/15)*z assuming z is positive.\nAnswer: z**(-137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(32)\/sqrt(4)*-4*4)\/(-6*(sqrt(64)*-3 - sqrt(64))*6).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3938 (b) 8 (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0 - 8. Let l(c) = 2*c**r - 4*c**3 + 4*c**3 + 1380000 + c**3 - c**2. Let m be l(0). Round m to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145840960883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -9 + -5 + (5 - (-3 + 27))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5056671.601 and -1.086?\nAnswer: 5056672.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*g + 112 + 400 = 0, -3*h = g + 532. Let k = h + 254. Let f = -73 + 103. What is the highest common divisor of f and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955742 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 11*h - 38. Let n = -176 + 182. Let m be t(n). Which is smaller: 99 or m?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 2*i + 480. Calculate the greatest common factor of i and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 38 = 3*j, 3*z - 36 = 1952*j - 2021*j for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 96*t**3 + 524*t**2 - 816*t.\nAnswer: 4*t*(t - 17)*(t - 4)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -2*u + 4, 6*a - 3*u = 10*a + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184987.\nAnswer: 11, 67, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(294) - (sqrt(8) - -6*sqrt(512)))\/(sqrt(144)*-4 + sqrt(144) - 1*sqrt(324)))**2.\nAnswer: 2888\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 29*w**6\/42 - 146*w**5\/35 + 299*w**4\/42 - 4*w**3\/7 + 1265*w**2. Let o(r) = 0. What is r?\nAnswer: 3\/145, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g**2 - 29*g + 42. Give o(-7).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 4, 0, 1\/5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 5. Let r be c(-8). Let n be 6\/(-2) + (r - -6). Let a(l) = 6*l**3 + n*l**3 + 0*l**2 - 5*l**2 - 5*l**3 + 4*l. Determine a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21123.141us to minutes.\nAnswer: 0.00035205235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 74251654*n**2 - 29*n**3 - 4 + 74251654*n**2.\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1553411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 2*v**2 + 0*v**2 + 0*v**3 + v to the form j*v**2 + l + n*v + y*v**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2470*k**2 + 6*k + 2468*k**2 - 6*k - 4940*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*g - 205*g + 4 - 4.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 705720042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 - q - 1. Let c(v) = 4*v**3 - 7*v**2 - 6*v - 5. Suppose 0*y + 5*y = 25. Let i(h) = y*n(h) - c(h). Factor i(f).\nAnswer: f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 58.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-12)*(2 + 0). Let z(y) = y**2 - 2*y + a - 4*y + 2*y + 6*y. Let t(i) = i**3 + 4*i**2 + 9*i + 13. Determine -2*t(q) + 9*z(q).\nAnswer: -2*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 2804517674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2132717 + 260?\nAnswer: 2133177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.0911 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l + 63*l**3 - 306*l**2 - 112*l**3 + 50*l**3.\nAnswer: l**3 - 306*l**2 - 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k + 8. Let t(r) = -r**2 - 9*r - 6. Let i be t(k). Suppose j - i = -j. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 11 + 29 = 0. Solve 0 = -p*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 461771952 divided by 17\nAnswer: 27163056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -205\/146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5 + 123*j**4 - 3567*j**3 - 14959*j**2 + 98784*j - 111132 = 0. What is j?\nAnswer: -7, 2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 960 + 54*u**4 - 359*u**3 - 2986*u**2 + 1456*u - 2870*u**2 + u**5 + 5940*u**2.\nAnswer: (u - 4)**2*(u + 1)**2*(u + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -76. Let a be l\/(-3) - (0 + 54). Let h = a + 75. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - -2.51. Let z = p + -1.5. Let w = 307 + -311. Which is the second biggest value? (a) z (b) 2\/11 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 807 and 810 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 + p. Let v be t(1). Suppose -v*o = -o. Suppose 3*j = -o*j + 2*x + 661, -4*x - 671 = -3*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3489.09 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384024 to the power of 1\/2, to the nearest integer?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 238 + 1?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4188 by 3.\nAnswer: -1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34747892, 69495790, 104243688, 138991586, 173739484?\n\"Answer: 34747898*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1992264 - 26278 = 22*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2557 (base 12) to base 4\nAnswer: -1002103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36276 and 15115?\nAnswer: 181380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 215288285969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 47. Suppose -2*t - 3*d = 8 - z, t = -2*d + 10. Solve -4*w + 5 + 7 = t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m + 2 = 0. Is (3 + -1)\/((-1)\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 15*x**2 - 8*x - 2. Let i = 30 + -45. Is w(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**3 + 7*n + 5. Let u be 4\/8*(8 + 2). Let j(a) = 5*a**3 + 6*a + 4. Let g = -13 - -12. Let s be (g + 3)\/(-2) + -3. Calculate s*t(o) + u*j(o).\nAnswer: o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/(-28)*2\/3. Suppose -t + 261*u - 135 = 258*u, 0 = 4*t + 3*u + 570. What is the fourth biggest value in t, -2, g, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 20. Let w be 32\/s + 2\/6. Suppose 5*m = -4*i + 69, -4*i - m = -w*m - 34. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13661308 is divided by 10623.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvpvvruv. Give prob of picking 1 p, 1 r, and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-7) + 8 + -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 1 - 14 = -3*x, 3*y = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g*s**3 - g*s**2 + 36108*g*s - 2*g + 123*s**3 + 2072*s**2 + 2*s - 2 wrt g?\nAnswer: 3*s**3 - s**2 + 36108*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002766774497 to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240464972?\nAnswer: 2, 11, 47, 116279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/6 (b) 0.2 (c) -0.19 (d) -2\/3 (e) 16 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (-35 + 30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhl when three letters picked without replacement from {h: 11, l: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1465424 and 6566?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -88b?\nAnswer: 89a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 - 3?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1395042025?\nAnswer: 5, 13, 4292437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 248, -2, 4.\nAnswer: -2, -1, 4, 5, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -243*v**3 + 2*v**2 + v. Let u be m(-1). Let p = -127 + u. What is the highest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187 - -176) + 0 + 14 - (1 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.18 + -1.58. Which is the nearest to -8? (a) -2\/21 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 141 + 4*p**2 + 9*p + 155.\nAnswer: (p + 2)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 23*g + 21. Let d(z) = z**2 - 8*z - 21. Let w be d(-3). Let k be h(w). What is the highest common divisor of 132 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2394*n + 41972 = 20604 - 73384 - 72828 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 3. Let j be w(-6). Let k = 95066 + -95136. Put 2, -1, k, j in descending order.\nAnswer: 2, -1, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3159907nm?\nAnswer: 0.00000003159907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.25 + 5.25. What is the second biggest value in -0.4, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119650 rounded to the nearest one thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5732463 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1815, 1374, 639, -390, -1713?\n\"Answer: -147*l**2 + 1962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/201 and 65\/45576.\nAnswer: 3053592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 6. Suppose 32 + 13 = t*u. List the prime factors of u\/(-6)*(-16)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121 + (18 - 94) - -20.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - -806. Let w = 856 - s. Let r(u) = -u**2 - 6*u + 5. Let o be r(-5). What is the closest to -1 in 5\/3, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12730, 22.4, 2, -5.\nAnswer: -5, 2, 22.4, 12730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14396 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -147 and -0.43.\nAnswer: 63.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 0*r**2 + 0*r**4 - 7\/3*r**3 + 0*r + 38 - 27\/5*r**5. What is the third derivative of i(b) wrt b?\nAnswer: -648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9215 - -46642. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**6\/240 + 5*a**4\/6 - 6*a. Let b(l) be the third derivative of r(l). Let j(d) = 7*d. What is b(j(m))?\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-148)\/(-6))\/((-8)\/(-12)). Suppose -5*m + y - 7 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Suppose -2*u - 15 = -0*u + 3*j, c = -3*u - j. Suppose -i - 3*b + 16 = 0, u = 4*i + 4*b - 110 + 38. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/28, -46, -9 in descending order.\nAnswer: 1\/28, 0, -9, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**3 + 7*y - 10. Let a(k) be the third derivative of k**6\/60 - k**4\/12 + k**3\/2 + k**2 + 165*k. Suppose -f + 4 + 3 = 0. Determine f*a(b) + 2*q(b).\nAnswer: 2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4078 in -0.5, 5.12, -1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14522, -14566, -14604, -14636, -14662, -14682, -14696?\n\"Answer: 3*s**2 - 53*s - 14472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1559*j + 12478. Determine l(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06 and -0.689.\nAnswer: -0.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 4. Let c be 0\/((-2 + 0)\/2 + 2). Let u be 1 - (c + 3)\/(-3). Let o(r) = -3*r - 9. Let z = 219 + -214. Give u*o(j) + z*a(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*i + 5*i - 108 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:45 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Suppose x + 2*w = p, 3*x + 2*w - 32 = 4*w. Let d = x + -6. Solve 13 + d = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 + -12 - 9) + (38 - 1).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f + 10322 = -199*f - 115*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 12*x**2 + 12*x - 7. Let k = 93 + -82. Let o be w(k). Solve o*z - 11 - 9 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23704, 23132, 21570, 18520, 13484, 5964?\n\"Answer: -83*d**3 + 3*d**2 + 23784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442340 - -2041?\nAnswer: -440244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 2. Suppose 3*c + 3*r = 12, 0 = 3*c - 2*r - 6 - 1. What is the units digit of u(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 11:41 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -1 + 92 + -107?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*(-4 + 4 + sqrt(320) + (sqrt(320) - (2 + sqrt(320) + -1 + sqrt(320))) + sqrt(320)) + 2)**2.\nAnswer: -864*sqrt(5) + 11601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69 + 398*z - 105 - 790*z + 388*z + (2 - 4 + 1)*(3*z + 0*z - 2*z).\nAnswer: -5*z - 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-36))\/((-2)\/48). Let w = c - -23. What is the remainder when 12 + (-1 + 2)*1 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**10\/196560 - p**8\/43680 - p**4\/12 - 2*p**2. Let g(t) be the second derivative of f(t). Factor g(v).\nAnswer: 2*v**3*(v - 1)*(v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.083 and -343280477.\nAnswer: -343280474.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0)\/(0 + -1). Calculate the common denominator of (-20)\/(-9)*60\/64 and b\/(-5) - (-2)\/80*167.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*k - 106 - 1094 = 96 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 219, -1 in descending order.\nAnswer: 219, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1197*y**4 - 5*y**3 - 5*y**2 + 10*y + 811. Let i(n) = 598*n**4 + 2*n**3 + 2*n**2 - 4*n - 405. Let r(w) = -5*i(w) - 2*p(w). Differentiate r(q) wrt q.\nAnswer: -2384*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -5*l**5\/4 - l**3\/6 - 7*l. Find the second derivative of d(u) wrt u.\nAnswer: -150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*h - 2*h + 5*r, 4*h + 4*r = 76. Let z(k) = 10*k + 35. List the prime factors of z(h).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 54 + 72 = -2*j, 5*x - 9*j = -j - 0*j for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0 (b) 1\/4 (c) -0.5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -40, -59, -78, -97?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.55 - -0.65. Let g(s) = s - 2. Let v be g(4). What is the closest to y in v, -4\/9, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 3*a - 4. Let r be i(-4). Suppose -4*b + 5*m = -2, -3*b + r*m = 2*m - 13. Solve x - b + 0 = f, 2*f + 1 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -15*4\/48 + (-3738)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15272.865 + 15498. Let n = -5.565 - t. Let c = 220 + n. What is c rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 5*m + 97 - 61, -2*m = -2*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0542 minus -75.8582?\nAnswer: 75.9124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 981 divided by 1\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 860944867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t - 104 = 0. Does 15 divide (-6)\/2 - (t - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/(-36) + -5 + 10)*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 15) in base 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*o - 157 = 0. Let s = -71 - o. What is the remainder when s is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116940 is divided by 921?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*n - 2*a + 37, -5*n + 5*a = -45. Calculate the greatest common factor of n and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 35409*d**2 - 176982*d - 141576.\nAnswer: -3*(d + 1)*(d + 4)*(d + 11798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72\/(-20) + 4\/(-10). Let f(y) be the first derivative of -y**2\/2 - 6*y + 3. Let q be f(p). What is the second smallest value in 1, 4, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -2 + 2 + (sqrt(13) + -1 - sqrt(13)) + sqrt(13) + sqrt(13) - (-3 + 4 + sqrt(13) + 1)**2.\nAnswer: -18 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 9) in base 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2190 = 2*z + 1074, -z = -2*d + 2176. Calculate the remainder when d is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(1\/(4\/8)). Suppose w = -5*n + 5*h + 5, -5*n + 2*h - 25 = 3*h. Sort 2, n, -3 in descending order.\nAnswer: 2, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2. Let l(k) be the second derivative of -k**7\/2520 + k**6\/240 - 8*k**4\/3 + 19*k. Let t(a) be the third derivative of l(a). Give r(t(z)).\nAnswer: 2*z**4 - 12*z**3 + 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + (sqrt(32) - sqrt(2)).\nAnswer: 3*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16851 + 16919. Solve -10*o + j = 48 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14453a1 (base 11) to base 12.\nAnswer: 9b8042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -244.8172435 to one dp.\nAnswer: -244.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d + 3 = 0. Let r(l) = -l**2 + 6*l - 7. Let m be r(4). Put m, -3, d in increasing order.\nAnswer: -3, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1195884?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 87 = 5*c, 2*c = -0*c - 2*j + 36. Suppose 0 = -4*y + y + c. Let r(u) = u**3 - 2*u**2 - 6*u + 2. Is r(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1437661*k**3*l**3 + 2*k**3*l**2 + 1400*k**2*l**3 - 23*k**2*l + 24*k*l wrt k.\nAnswer: 8625966*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 5 - 9*r**3 - 9462*r**4 - 17 + 9461*r**4 to the form h*r**3 + f*r**2 + l*r**4 + c + u*r and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.794 + -56.612. Let h = a - -51. Round h to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 13 - 5*o + 3*o + 6*o**2 + 14 in the form l*o**2 + u + z*o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 + -64. Sort 11, m, 2 in ascending order.\nAnswer: 2, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.748616 to two decimal places.\nAnswer: 1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 - 3*q + 70. Let w be 324\/243 - (-4)\/(-3). Let l be f(w). What is the third biggest value in l, -0.1, 3, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 6 - (-3 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8656\/19476)\/(10\/9)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 273 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -237, -2567, 5 in descending order.\nAnswer: 5, -2, -237, -2567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -717748 < -717737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 4. Let v be h(-7). Suppose -g + 2*j = v*j - 3, g + 2*j - 3 = 0. Find the second derivative of -2*l - 3*l**g + 8*l + l wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/((-3800)\/(-1825))*-2.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 61 from 384.875698847.\nAnswer: 323.875698847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 295 - 284. Suppose 5*f = 78 + 132. Calculate the remainder when f is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 0.77. Let f = j + -0.1. Let t = 1.07 + f. Which is the biggest value? (a) 0 (b) -7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280 (base 11) to base 16.\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2. Let p(y) = -101*y + 303. Let t be p(3). Let f(a) be the third derivative of t*a**3 + 0 - 9*a**2 + 0*a**4 - 4\/15*a**5 + 0*a. Calculate f(l(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.66518619 rounded to 2 decimal places?\nAnswer: 5.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwww. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*b + 11, u - b = -1 + 3. Let y = 253 - 235. Solve 3*j - y = 3*q, j + 2*q = -u*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 358*x - 32041.\nAnswer: -(x - 179)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 0, 2.\nAnswer: 0, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 - 5\/6*w**3 + 1\/12*w**4 - 2*w + 2*w**2. Factor b(i).\nAnswer: (i - 4)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -363338*t**3*w**5 + 91*t**3*w**2 + 445967*t**3 + 14*t**2*w - 2*w wrt w?\nAnswer: -7266760*t**3*w**3 + 182*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 615, 1188, 2707, 5634, 10431, 17560?\nAnswer: 27483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18014138*a**3 - 2*a**2 + 141333?\nAnswer: 108084828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8192.78 meters?\nAnswer: 8.19278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) + (-24)\/(-15). Let m = 2 + -2. Factor -q**3 - 1 + q - s*q**2 + 3 + m.\nAnswer: -(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k - 3. Let y be w(3). Suppose -y*d - z = -30, -2*z - 2*z = 5*d - 57. What is the least common multiple of d and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 140 in decreasing order.\nAnswer: 140, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 3}. Give prob of picking 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.5 + 0.5. Let r = -2.1 + c. Let p = 0.692 - r. What is p rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 65*l + 1. Let v(u) = 3*u**2 - 323*u - 5. What is -11*s(h) - 2*v(h)?\nAnswer: 5*h**2 - 69*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2007 and 540.\nAnswer: 120420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 13) + 8 - 8 - (7 + 32)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274854 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1647448 and 4191176?\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23990 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/12 + 19*p**3\/6 - 29*p**2\/2 + 3*p + 1. Let q be y(17). Solve 2*m + 6 = 4*t, -3*m + q*t = -1 + 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209\/49 - -872\/147. Suppose g*y + 1\/3*y**2 - 2 = 0. Calculate y.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -13*j + 310. Find the common denominator of v(27) and 21\/149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/210 and -107\/2190?\nAnswer: 15330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 23. Let a(p) = p - 3. Let w be a(10). Let v(f) = f**3 - f**2 - 7*f + 6. Calculate the remainder when v(4) is divided by o(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131568519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 174690 divided by 270?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 704\/22 - -1*-3*1. Suppose -42*r + 832 = -b*r. Calculate the greatest common divisor of r and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - 2*d + 13. Let m(y) = y**2 - y + 1. Let j(t) = -6*m(t) + q(t). Let p be j(4). Calculate the greatest common divisor of 49 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -4\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 18235*w**2. Let y(c) = 2*c**2 + 234*c. Calculate y(d(o)).\nAnswer: 665030450*o**4 + 4266990*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z**2 - 124*z + 131. Let f be u(-32). Let h = 0 - -24. What is the highest common factor of f and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 4*g + 2*g - 2 + 2 - 2*g + (0 - 1 + 2)*(-2*g + 0*g + 4*g) - 5 + g + 5.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times -634.32342?\nAnswer: -88.8052788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -396*s**2. Let y(j) = -j**2 - 1196*j. Calculate y(h(w)).\nAnswer: -156816*w**4 + 473616*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*s + 2*q - 15, s - 18 = -5*q. What is the remainder when (-19)\/(-4) + 2\/8 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 2:26 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r + 3. Let j be (-1 - -6)\/(0 + 1). Suppose 2*w - 3*s + 5 = 4*w, j*w = 5*s. Let t(b) = b + 1. Let q = -11 - -8. Give q*t(k) + w*l(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000751 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17445075.\nAnswer: 3, 5, 163, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x*x*x**(6\/5)\/x*x\/(x**7\/x)*x assuming x is positive.\nAnswer: x**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let h = 97.1 + -96.8. What is the second smallest value in h, u, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 254*d**2 + 11*d + 51. Let t(l) = 252*l**2 + 10*l + 46. What is -10*i(a) + 11*t(a)?\nAnswer: 232*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -73.11733944.\nAnswer: -66.11733944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2897*f**2 + 8*f - 7. Let n be m(1). Suppose 9*z - 171 = n. Calculate the remainder when z is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.9 and 12?\nAnswer: -382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9099*f + 334741 + 165704 = 0 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -25, -39, -51, -61, -69, -75?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/96*6\/(-9). Let j = 1501\/6 - 251. Which is greater: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(180) + 4))**2 - (sqrt(5) - sqrt(5)*4*-3)*1.\nAnswer: 35*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25263 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75985*h**4 - 22*h**3*w**3 - 223788*w**3 wrt h?\nAnswer: -303940*h**3 - 66*h**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7808126 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1659 - -0.58\nAnswer: -1658.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 + 292 + 92*r + 84*r + 71*r - 407*r + 83*r + 76*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1233721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*x - 106*x + 0 + 1 - 2 + 53*x in the form m + y*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 2 = -11*f - 2*x, f - 3*x = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 80 = -14*u. Suppose -u*q + 4*q - 48 = 0. Let p = q + 22. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 358 - 362. Let x be (17\/4 + h)*40\/14. Sort -11, 3, x.\nAnswer: -11, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puu when three letters picked without replacement from {p: 2, w: 1, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -2422145?\nAnswer: -2422144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.1 (b) -2\/181 (c) 0.28 (d) -3 (e) 0.04 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10250741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q + 2205. Let b(o) = 2*o. What is b(f(s))?\nAnswer: 12*s + 4410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*w + o + 91, 2*w + 2*o - 98 = 0. Suppose 2*k - 3*v - 12 - 18 = 0, 0 = -3*k + 3*v + w. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -13. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556250.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(32) + 0 + sqrt(32) + sqrt(32)) - (0 + sqrt(32))*-6 - (-1*sqrt(360))\/((sqrt(55) + 1*sqrt(55))\/sqrt(11) - sqrt(5)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15321 - 15321 - 14*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = -8. Let l = 9 - 4. Find the third derivative of 2*i**2 - d*i**2 + 5*i**5 - 3*i**l - 5*i**5 wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 - 299.\nAnswer: -299.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 3*g = 11*s + 15, -s + 3*g - 15 = 0. Suppose -3*m - 11*i + 8*i + 12 = s, 5*i = -2*m + 17. Solve 0 = -14*n + 13 + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*i + 15 = 0, -5*c + 7*i - 5*i = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1509506*q**3*u**2 + 2455*u**2 + 172 with respect to q.\nAnswer: -4528518*q**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16*3312\/12213\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a - 5*u = 45, 3*a = -2*u + 7. Let d be -1*2*122*-1250. Suppose a*o - d = -j - j, -3*o = j - 183000. What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 0.5, 377, 0.02 in decreasing order.\nAnswer: 377, 1.1, 0.5, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 20 = -5*k, 4*p = -2*k - p - 27. List the prime factors of ((-1)\/(-1))\/(k\/(-58)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -7*g - 3. What is the third derivative of -3*w**2 + 2*w**2 + 2*w**2 - g*w**3 wrt w?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*v**4 + 598*v**3 + 807*v**2 + 7763788*v wrt v.\nAnswer: 60*v**2 + 3588*v + 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmrmmmmmrrmmmmmmmmm. Give prob of picking 1 r and 1 m.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -27*o**3 - 3*o**2 - o. Let z be -5 - -14 - -8 - 18. Let q(f) = f**2. Calculate z*t(k) - 2*q(k).\nAnswer: 27*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1097.611351+-58774\nAnswer: -59871.611351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 363126*d + 1089369.\nAnswer: (d - 363123)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/13*x**2 + 1460\/13*x + 266450\/13 = 0. Calculate x.\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073695869 to six dps.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let t = i + 3. Suppose t*d + 39 = 11. Which is smaller: -8 or d?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 12*g - 10*g - 150 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4314 is divided by 2157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g + 0*g**3 - 70*g**2 + 76*g**2 + 0 - 2*g**3 + 4. Calculate the smallest common multiple of n(4) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 11\/3, 0.14, -1.7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 40 = 7*u. Let f = -5 - u. What is the least common multiple of f and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*t - 7*t - 56, 3*o - t - 37 = 0. Calculate the smallest common multiple of o and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(162))**2 - ((3*(sqrt(20) - sqrt(20)*-1))\/sqrt(10))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13766177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -19 (b) -0.01 (c) -5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 5*c - 3*a = 16, -12 = 2*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 626 a factor of 251798362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 8:06 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(4 - 3 - 2)*(4*y - 4 + 4) - 418 + 418 - 35*y in the form h*y + x and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 816, 5436, 13122, 23862, 37644?\n\"Answer: -2*a**3 + 1545*a**2 - a - 726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 20. Suppose 5*p - 27 = r, q*p - 35 = 3*r + 2*r. Calculate the remainder when 22 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 14*i + 2. Let c be g(-7). What is the tens digit of (130\/91)\/(c\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**8*d)\/d*d**(-6\/5)\/d*(d**(-2\/11))**(-2\/121))**(5\/7) assuming d is positive.\nAnswer: d**(45274\/9317)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7250 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 4, j: 1, q: 1, g: 1}. What is prob of sequence gjyq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 42. Suppose 44 = -3*s + 4*z - 5, -3*z + 12 = 0. Let j be g(s). What is the nearest to 1 in -0.1, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-2))\/(0 - (-1)\/(-218)). Let h = -75 - c. Suppose s = -2*n + 27, 4*s + 0*n + n = h. What is the remainder when s is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 12*k - 12. Let n be l(8). Suppose -2*c = -0*c - n. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177185 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 170 and 672127.\nAnswer: 114261590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54161 is divided by 3610.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 48, 1, 1\/2, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6925 is divided by 578?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21457*n**2 - 125*n + 9.\nAnswer: 42914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 2688.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5820 and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -11. Suppose -8 = 7*y + f. Let i(d) = 2*d + 6. Let s(n) = n + 2. Let l(w) = 3*i(w) - 8*s(w). Give l(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -170\/7 (c) 0 (d) 0.4 (e) -1.2 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*p = 4*p + 7, p - 2 = -q. Let l(z) = 2 + z - 3*z + 0*z**2 + z**2 - 2*z. Determine l(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*r + 28 = 0. Suppose r*b - 8*b = -8. Suppose b*v = 7*v - 20. Solve 2 = 3*x + 2*z - 4, 4*z = v*x - 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 9:09 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/6)\/t*t)**(14\/9)*(t**10)**(-1) assuming t is positive.\nAnswer: t**(-263\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -t - 6 - 26, 5*t - 61 = -3*n. Suppose -15 - n = -y. Calculate the remainder when y is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4894195 greater than -4894202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 4*h + f - 4, h + 10 = -2*f. Let s be (-1 + -2)\/(3\/h). Let a = -664 + 664. Solve a = s*z - 0*z - 10, -v - z = -9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 + 42\/4)\/(1\/(-2)))\/(48\/48).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1000012002?\nAnswer: -1000012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37, -24, 13, 86, 207, 388, 641, 978?\n\"Answer: 2*m**3 - m - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -102*u - 921?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i = 20, 5*i = -5*a - 2635. Is (a\/(-24))\/(3\/44) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65.5724 + -0.4276. Which is the biggest value? (a) -5 (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*d + 34, -4*d = -3*r - 9 + 12. Let b = 4 - 3. Solve -d*a - 5 - b = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3241, -6373, -9515, -12673, -15853, -19061?\nAnswer: -22303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59830921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 2*f**2 + 30 - 7538*f**3 + 6835*f**3 to j*f + h*f**3 + y + a*f**2 and give h.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 12 in decreasing order.\nAnswer: 12, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -29*b + 33*b + 4, 5*b = -5*k - 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12444? (a) 1.3 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37\/248 in -1\/3, -2, -94\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01175847 rounded to four decimal places?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*t - 1497 = 1215, -p + 5*t = -711. What is the smallest common multiple of p and 15?\nAnswer: 3405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007793645 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - h - 11 = 0, -h + 7 = p. Suppose -p*i = 8*i + 4*i. Suppose a + 2*a = -9. Sort a, 1\/6, i in decreasing order.\nAnswer: 1\/6, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) -10 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 8*i**2 - 22*i + 25. Let j be v(10). Let f = -2\/5077 - -233560\/45693. Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*p + 51 = -2*q, 3*q - 3*p = 147. Suppose 3*n - q = -0*n. Calculate the smallest common multiple of 6 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60 or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2099*l**3 + 20*l**2 - 1222*l**3 - 1146*l**3.\nAnswer: -4467*l**3 + 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979*x = 944*x + 245 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*n - 4*f - 15 = -525*n, 2*n = 2*f + 6. Put 2, 5, -0.009, n in ascending order.\nAnswer: -0.009, 2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 + -453\/5. Factor 0 + 2\/5*q**4 - 4\/5*q**3 + d*q**2 + 0*q.\nAnswer: 2*q**2*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 129 + -131 - (-3 - 1\/(-2 + 3)). Solve 2 - 8 = t*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-16)\/l*l)\/l*l\/(l**4*l))\/((l**7*l)\/l)**(1\/34))**(-1\/51) assuming l is positive.\nAnswer: l**(229\/578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 443390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12928830 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -52, 12, 1, 0, 4 in ascending order.\nAnswer: -52, 0, 1, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 54*d**3 + 111*d**3 - 52*d**3 - d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 22. Let c be u(11). Let r(z) = -z**2 - z - 590. Let w be r(c). What is the tens digit of 6\/(-4) + w\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 7, 6, -22, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104027467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3183860 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**2 + 9*r**2 - 10*r**2.\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 619558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-17 - -8)) + 2 + 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbdwbfz. Give prob of sequence dq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/602 and -55\/126.\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 4 (c) -2 (d) -1461 (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 122*a**2 - 746*a - 2. Calculate the remainder when u(-6) is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111002112122 (base 3) to base 12.\nAnswer: -75395b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28899239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*21 + -310 + 310\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107086.50266 to zero decimal places.\nAnswer: 107087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 500176582\/11247 - 44472. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 292735287 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/(-4))\/((-2)\/4). Let h = c - -1. Let v = 25 + h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 78 = -10*z. Suppose -12 = -4*s + s + v, 0 = -5*s - 3*v + 6. Let r = z - s. Solve 3*h - r = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*i + 18, -5*h = i - 0*i - 6. Suppose -3*r = -h - 1. Let p(l) = 1 + 1848*l**3 - 929*l**3 - 925*l**3. Calculate p(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:22 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.65653 from -5639313836.\nAnswer: -5639313836.65653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 257455 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t. Let n be k(-2). Let i = -85 - -84. Let o = n + i. Solve -3 = -o*j - 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 978146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222220 - -1011120011?\nAnswer: 1001120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swswswbw. What is prob of sequence bs?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66b9 - a6?\nAnswer: 6613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**2 - 9*d + 9. Let z(s) = -s**2 - 2*s + 2. Let p(x) = -2*m(x) + 9*z(x). Let l(h) = h. Determine l(p(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-315)*(-576)\/64.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1824 - 1820. Put c, 7, 1\/7 in decreasing order.\nAnswer: 7, c, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(8)*1 + sqrt(200) + -2 - (sqrt(144)\/sqrt(9)*2)\/sqrt(8))).\nAnswer: -60*sqrt(2) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/14763 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1347 and -648269234.91?\nAnswer: 648270581.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 131\/2. Let m = -665 - -664.7. What is the nearest to -1 in m, -0.01, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 10. Let x(p) = 4*p + 20. Let f(q) = 2*h(q) + x(q). Let s(k) = -7*k. Give 5*f(z) + 6*s(z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 3*z**2 + 3*z - 1. Let u be s(2). Solve -n + 21 = -l + 3*n, 4*n + u = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 22. Let m be v(8). Suppose q + 9 = 3. Let d be (4 + m\/(-4))*q. Solve 0 = d*c - 0*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -18*y**5 - 4308*y**4 - 260618*y**3 - 341768*y**2 - 113288*y = 0.\nAnswer: -119, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 47. Give v(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 3 - (58 + -96 + 148)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*m + 4*m + 424 = 0, 0 = -t - 3*m - 90. Calculate the smallest common multiple of ((-48)\/t)\/(2\/42) and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1554 + 3343. Suppose -16*f = -z - 19391. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -0.06 (b) -2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.00176ug in grams?\nAnswer: 0.00000200176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xprxuxxxxrpxxrpu. Give prob of sequence rppr.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-7 + 8 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is bd8a (base 16) in base 15?\nAnswer: e59c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**3 - 29*m**2 - 24*m - 24. Let n(p) = 4*p**3 + 15*p**2 + 12*p + 12. Let v(f) = -3*k(f) - 5*n(f). Give v(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 6*o**2 - 9*o + 5. What are the prime factors of j(-6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275857481881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 80209 and 80205 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*(2 + sqrt(1331)))**2*-2*6 + -3).\nAnswer: -32046 - 1056*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 278? (a) -4 (b) 0 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0*d**2 - 5\/3*d**3 + 2*d + 0. Let t(w) be the second derivative of -w**3\/3 + 15*w. Determine t(k(s)).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/4)\/(35\/(-25)). Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -35, 2\/11 in decreasing order.\nAnswer: 2\/11, -6, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*g + 13. Let z = g - -7. Let r be 4 - (z + 0 - 2). Put -5, r, -1 in increasing order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7.848, 2, 14\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r + 4*i + 55 = -27*r, -18 = 4*r - 2*i for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124381 + -0.10921.\nAnswer: 124380.89079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 25*w - 14. Let c be j(16). Let r = 128 + c. Calculate the least common multiple of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e3 + 1847?\nAnswer: 1b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2038?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4904*u + 29426. Give p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.59 + -1.29. Let d be (-1)\/((-9)\/6 - -1). What is the third smallest value in d, -1, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 514262803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -23. Suppose 5*w = -3*o - 15, 0 = h*w - 0*w + 4*o + 20. Suppose -5*r + 8*r - 36 = w. Calculate the remainder when 57 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 7, j: 2}. What is prob of sequence dddj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 823 and 21?\nAnswer: 17283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*g - 41*g + 39*g + (-2 + 2 - 1)*(-g + 5*g - 2*g) - 5*g + 3*g + 3*g + 0*g + 2*g + g to the form w + f*g and give f.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 196591?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135417*h**4 + 2*h**2 + 30620*h.\nAnswer: 1625004*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1992501 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 3*c**2 + 12)*(-c + 5*c + 5 - 5*c).\nAnswer: 3*c**3 - 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 2*d**2 + 4*d + 1. Let u be b(3). Suppose -5*o = -u*p + 47975, 0 = -4*p + 2*o - 3*o + 48005. Round p to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15085824 and 13599?\nAnswer: 45257472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**1)**18)**(-13\/8)\/((q*q*q*q\/(q\/q**(-4)))\/q**0)**(-11) assuming q is positive.\nAnswer: q**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*t = 24, m + 5*t = 2*m + 12. Suppose -m*n - 8*z + 4*z + 17 = 0, 0 = -5*n + z + 13. Solve -n*o - 15 = -6*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14199433 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + d = 90, -21*c + 253 = -2*d - 156 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - -1 - (-720 + 726)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-726)\/(-54692)*-113)\/((-219)\/(-4)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (42 + -14 - -1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1727\/8 or 217?\nAnswer: 1727\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -274015 and 267.\nAnswer: -273748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 - -328. Suppose -g = 2*y - 3*y. Suppose -5 = 5*k - y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 816*a - 49793. Give d(61).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3502828555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.67 + -0.22. Let a = c + -0.25. Which is greater: a or -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1764 and 336?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22021222000 (base 3) to base 2\nAnswer: -100111110111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26\/7 - -163\/42. Suppose -2*m + 3 + 7 = 0. Suppose -5*a - i = -5, -2*a + 4 = 2*a + 4*i. What is the smallest value in m, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 13 = -107. Let m(a) = -4*a + 0*a + 2 + w*a + 3*a. Let r(g) = -g. Calculate m(r(t)).\nAnswer: -5*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*19*320\/4864\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.189 * -7377\nAnswer: 1394.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/105*5 + (-44)\/(-6). Let x = -1181\/156 - 9\/26. Let m = n + x. Which is the smallest value? (a) m (b) 2 (c) 3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3\/3 + 8*o\/3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ligjl. What is prob of picking 2 l and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/13)*w**(4\/5))\/((w*(w*w*w**6)\/w)\/(w*w**(-2\/11))))**(-12\/11) assuming w is positive.\nAnswer: w**(53436\/7865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 343\/4, 2\/5, 4\/43?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13 - (-2)\/(-6)*3. Suppose o - 1 = -w. Let b = o - -22. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z + 34*z - 16*z + (0*z - 4*z + 3*z)*(-1 + 3 + 0) - 3*z + 2*z + 0*z + z - 2*z - z)*(z + 2*z - z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4857740 is divided by 1293?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 18079370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*r**4 - 6483*r**3 + 8*r**2 - 1782059*r wrt r?\nAnswer: 252*r**2 - 38898*r + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, 63, 215, 435, 729, 1103?\n\"Answer: p**3 + 25*p**2 + 8*p - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 426?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(22)\/(sqrt(11)*-3) + 5 - (sqrt(242) + 0)*-1*4.\nAnswer: 5 + 43*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 16. Suppose -h = 5, -5*i + 0*i + 3*h = 0. Sort i, v, 1 in decreasing order.\nAnswer: v, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27.95 and -415.4.\nAnswer: 11610.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/((-2088)\/145))\/(-10)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9591401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - ((-441)\/15)\/(-7)) + 1337\/385?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 9*q - 31*q**3 - 2 - q**2 + 32*q**3 - q**2 to the form m*q + f*q**2 + s + z*q**3 and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.008 (b) -6\/7 (c) -0.6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1352 - 1352.00001021. Round s to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 468 - 324. Suppose 4*n = 5*k + 406 + j, 142 = n + k. What is the highest common factor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*f - 437*f = -297 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2762, 3722, 4682?\n\"Answer: 960*s + 1802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n + 3. Let y be z(0). Let b(v) = -412*v**2 + 819*v**2 - 406*v**2 + v + 2 - 6*v. Give b(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 8\/(-20) - ((-378)\/(-15))\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-12) - 1\/(-4). Let b = k + -2. Is (-29)\/b - 2\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77782 divided by 6004.\nAnswer: -38891\/3002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -2, 354 in ascending order.\nAnswer: -10, -2, -1, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2818 is divided by 387.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/27 (b) -2\/17 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from toojo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -7\/9 (c) -4 (d) 9\/2 (e) 2 (f) 31.8 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*w**2*z**2 - 5*w**2*z - 1142*w**2 - 396*w*z**3 + 3*w + 28*z**3 - 203 wrt z?\nAnswer: 14*w**2 - 2376*w*z + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*u**6*v + 141925*u**3*v - 31300*u**2*v - 132*u*v wrt u?\nAnswer: -7800*u**3*v + 851550*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**3 - 13755*o**2 + 10313*o + 3438 = 0.\nAnswer: -1\/4, 1, 3438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + i + 42 = -8*m, -4*m = i + 57. Is ((-156)\/2)\/((6\/m)\/1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0098 and 14?\nAnswer: 13.9902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -260046 from 21.15.\nAnswer: 260067.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0\/3)\/(-1))\/(2*-1). Suppose 0 = -2*j + w + 7, 0 = 4*w - x*w + 4. Suppose 0 = -i - j*i + 148. Calculate the remainder when i is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 30071.\nAnswer: -22\/30071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 325239, 650477, 975715, 1300953, 1626191?\nAnswer: 1951429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8880 - 2*l + 14*l - 4441 - 4439.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1051, -344, -1755, -3182, -4625?\n\"Answer: -8*s**2 - 1371*s + 2430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttmeetmmteeettttmte. What is prob of sequence te?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -77262350, -0.3 in ascending order.\nAnswer: -77262350, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d695a - 5?\nAnswer: -3d695f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**3\/6 + 13*b**2\/2 - 42*b. Determine n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 6. Let y be f(6). Suppose y*l = -5*l + 25. Let o = 7 + l. Solve o = k + 5*a - 5, 2*a = -5*k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6025 and 6023 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 - -362. Let l(a) = 2*a**2 - 8*a - 160. Let k be l(28). Let p = k - j. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 8:37 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0723 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -90*(-3 - (2 + -2)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*d + 50. Let x(n) = n**2 + 4*n - 9. Let k be x(0). Do k and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 5*a + 1807 = 14*k, 3*k - 5*a = 5401. Solve 1803*y + 6 = k*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {g: 15, b: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 6. Let a be y(6). Let s be ((-9)\/a)\/(33\/8). What is the biggest value in 1, -0.05, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 28131 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 8*l - 1. Let a be c(-4). Let o = a - -35. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278 + -248. What is the remainder when ((-3969)\/(-14))\/((-2)\/(-4)) is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2291309658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/9 - 10*n**2\/3.\nAnswer: n**2*(n - 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*n - 978 + 2434. Let c(v) = -v**3 - 52*v**2 + 5*v + 260. Let m be c(n). Determine f, given that 0 - 1\/2*f**2 + m*f = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43996.\nAnswer: 2, 17, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-480)\/(-9) + (-2)\/6. Suppose v = 5*y - 122. Let p(h) = 27*h - 26. Calculate the remainder when p(6) is divided by y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*j - 8 + 23 = 0, 2*w - 2 = -2*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6.6 (b) 13 (c) -1\/3 (d) 1\/4 (e) -467 (f) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8296775 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*s - 52. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-2100))\/((-1)\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 2*q - 201*q**3 - 197*q**3 + 594*q**3 - 195*q**3 in the form y*q**2 + x*q**3 + a*q + w and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 563*o**5*v + 2*o**2*v**2 + 28*o*v**2 - 8*v**2 wrt o?\nAnswer: 11260*o**3*v + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - s**2 + 17. Determine g(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46472 is divided by 294.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c + 4. Suppose -7 = -4*l + 1. Calculate the remainder when l is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4719 = 112*y - 657 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*j = 1281*j + 39258 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/10)\/((-1)\/(-5)). Suppose 5*f = 4*r + 42, f - 2*f = -p*r - 18. Solve 3*c + f = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -826 = -2*j + 5*k, 575*j - 571*j + k = 1586. What is the greatest common divisor of 11741 and j?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 1\/2, -1\/11, -2\/5, -4\/47 in descending order.\nAnswer: 1\/2, -4\/47, -0.09, -1\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23116 + 10361?\nAnswer: -12755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -578, -866?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 619614 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 816 + -5 + (1 - 4). Suppose 12*a - 1268 = f. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 19*m - 36. Let q(w) = 7*w - 12. Let x(d) = -3*k(d) + 8*q(d). Determine x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345899 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -0.14, 17\/2, 1\/10, 0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r. Suppose -11*c + 18*c = r. Suppose -5*b - 2*g = -905, c*b + 2*g - 726 = -4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-7*p + 18*p - 6*p) + p + 0 + 0 - 1 + 1 - 2*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16236\/(-54) + 5\/3. Let o = -195 - l. Is o a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -98\/3. What is the nearest to b in -5, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 4726640.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 771449 and 573.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/52120 and -52\/89?\nAnswer: 4638680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3)*-3 + 1*sqrt(75))**2 - (-5*(1 + sqrt(3)*-1 + sqrt(3))*1)**2.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 2*h + 1. Suppose -d - d = 38. Let m = d + 17. Let r be o(m). Put -2, r, 4 in increasing order.\nAnswer: -2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*m = 2*m - 56, -2*m + 140 = 5*f. Suppose p - 4*y = -2*p + f, 2*p - 3*y - 20 = 0. Is 4 a factor of 0\/(-2) - (p + -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 891504 by -3624.\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 146, 342, 620, 980, 1422?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57168 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4 - 267*i**3 - 13348*i**2 + 626928*i - 613312 = 0. Calculate i.\nAnswer: -148, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 34\/12 + -2*4\/(-48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3780 = v - 13*v. What are the prime factors of v?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -7\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -26.933. Let n = -5.067 + k. Sort n, -1, 0.3, 0.5 in descending order.\nAnswer: 0.5, 0.3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/2*12\/(-8). Let p(h) be the second derivative of 1\/2*h**2 + 0 + 1\/12*h**4 - 9*h - 3\/2*h**3. Calculate p(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgggbggbbb. What is prob of sequence bbgg?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**5\/5 + 23*g**2\/2 + 35. What is the second derivative of o(z) wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (29 - (9 + -17) - -4)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 9*d**2 - 9*d + 31. Determine f(-7).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/5 - 3*g**2 - 18*g\/5.\nAnswer: 3*g*(g - 6)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -591*v**5 - v - 15 wrt v?\nAnswer: -11820*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320849497.\nAnswer: 71, 4519007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/20 + m**4\/2 - m**3\/3 - 2*m**2 + 2*m. Let j be (10\/(-8))\/((-4)\/16). List the prime factors of a(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -368*d**2 + 425*d**2 - 242*d**5 + 950*d**5 - 3 + 33*d**5 wrt d?\nAnswer: 44460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*l + 2*l - 2*z - 4, 0*z = -5*z - 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 1870*a**2 - 1864*a + 3736.\nAnswer: -2*(a - 1)*(a + 2)*(a + 934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 487*r**7\/42 - 2645*r**4\/24 + r**3\/3 - 2*r**2 - 1525. Find the second derivative of d(v) wrt v.\nAnswer: 29220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1961358 and 109\/90.\nAnswer: 29420370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919684207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.17 + 27. Let h = -1.265 + 0.265. Are u and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/12 + t**4\/2 + t**3\/3 - 3*t**2. Let w(s) = 14*s**2 - 35*s - 5. Let g(h) = -17*l(h) - 6*w(h). Determine g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 31*q. Let o(h) = 7*h**2 - 6*h - 6. Let c(s) = 2 + 2 + s - 8*s**2 + 7*s**2 - 3. Let a(x) = 6*c(x) + o(x). Give g(a(n)).\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -20, -2*k + 0*x + 215 = x. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*w - 3253 = 494*w + 197 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -7. Suppose 2*f = 3*f - h. Suppose -f*l + 78 = -8*l. What is the highest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -115. What is the highest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 9390129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbqb when four letters picked without replacement from {b: 3, q: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -11.6, 3, 0.4?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9097, 9249, 9401, 9553, 9705, 9857?\n\"Answer: 152*k + 8945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 9*l + 13. Let y be b(10). Suppose -o = 3*f - 1, 0 = 3*f + y - 0. Suppose 345 = o*n - 3*t + 6*t, -3*n = -4*t - 265. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68991 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 6:01 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -1254?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/11)*p*p\/p**(-4))\/(p*p\/p**(-1))**(1\/5) assuming p is positive.\nAnswer: p**(342\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.183, -1, -0.77, -1\/4, 1\/3 in increasing order.\nAnswer: -1, -0.77, -1\/4, -0.183, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by -281560.\nAnswer: -25\/56312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by 2.\nAnswer: 105\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, -35\/13, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (33\/(-18))\/((-15)\/(-10)). Let w = -6 - -1. Let r be (-24)\/(-60)*(-6)\/(-4). What is the closest to r in w, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 5*j + 4. Let i be x(3). Suppose 3*m = -2*g + 23, 2*g = -m - 2*g + 21. Let z = 33 + -33. Solve m*t + i - 2 = z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81*1896\/(-940653))\/((-10)\/7).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/2 of a year?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2243 - 2123. Calculate the least common multiple of 200 and o.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83211 is divided by 6934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*2\/(4\/(-3)). Let v(f) = 6 + f - 5*f + y*f. What are the prime factors of v(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*w**2 + 18*w**2 + 11*w**2 - 8*w to the form a*w + f*w**2 + m and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15994.93 rounded to the nearest 100?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - b + 1. Let k(g) = -13*g**3 - 13*g**3 + 24*g**3 - 8*g + 12 - 10*g**2. What is -k(t) + 10*u(t)?\nAnswer: 2*t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15410031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 10:50 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u + 3*m - 11, -5*u - 13 = -2*m. Let f(i) = -i**2 - 2*i + 29. Let q be f(-6). Let n be 2 - (72\/14)\/3. Sort q, n, u in descending order.\nAnswer: q, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2184 divide 682368960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvwvpwvwvvwv. Give prob of picking 3 w.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let t(z) = -z + z**3 + 4*z**2 - 6*z**2 - 4*z**q + 2. Let a(y) = -4*y - 14. Let h be a(-5). Calculate t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 10279*a + 916970. What is p(-90)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4*m + 2. Let y be d(-3). Let r be 5*((-2)\/(-5))\/y. Is 5\/10 - 7\/r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*d**3 - 60*d**3 + 249*d**3 - 64*d**3 - 58*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7)*k)\/k**(3\/4))**(-38\/5)*(k*(k\/k**(-5))\/k*k*k)\/k*k**(-5)*(k*k**(1\/5))\/k**4 assuming k is positive.\nAnswer: k**(-37\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrrrrrrrkr. What is prob of sequence rkrr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f + 6640 = j, 4*f = 5*j + 5341. What are the prime factors of 75\/(-100) + f\/12?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-6) + 1 + 10220\/(-168))*3837\/(-2558)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7*56.85\nAnswer: -397.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*x**4 - 1257*x**2 + 1257*x**2 + (-x + x + 2*x)*(6*x**3 + 6*x**3 - 7*x**3).\nAnswer: 23*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 10*m + 92. Let g(h) = -2*h**2 - 11*h - 96. Let s(k) = -4*g(k) - 6*q(k). Factor s(z).\nAnswer: 2*(z - 14)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5459065, -2, 3, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15583 - -31163\/2. Which is the third smallest value? (a) -4\/5 (b) -4730 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 6304*h**3 - 31620*h**2.\nAnswer: 4*h**2*(h - 1581)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -30*x + 5. Let k(n) = -21*n + 3. Let z(d) = 7*k(d) - 5*v(d). Let g(j) = -11*j**2. Calculate z(g(r)).\nAnswer: -33*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645.8 rounded to the nearest ten?\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -26*c + 60. What is the remainder when 55 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7080*d = -169571 + 42131 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**5 - 2*d**4 - d - 1. Let t(g) = -517*g**5 + 2*g**4 - 753*g**2 + g + 1. Let s(a) = -b(a) - t(a). What is the third derivative of s(m) wrt m?\nAnswer: 30960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 5*d = -45*x - 20, -4*d - 20 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 4726?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by ((-462)\/(-44))\/(3\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (63\/18 + -3)*1*8. Let l(s) be the second derivative of 1\/2*s**2 + 0 - 1\/3*s**3 + 1\/12*s**p + 4*s. Solve l(m) = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16898892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204 - 13?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -9. Suppose 0 = j - 6*j - 3*a + 21, 0 = -2*j - 5*a + 16. Let l(p) = 7*p - j + 1 - 4*p. Give l(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-6\/5)*o*o)**(-20) assuming o is positive.\nAnswer: o**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 - 32 = 0. Let h(q) = -14*q - 3. Let b = -8 + 6. Let o be h(b). What is the greatest common factor of o and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 12 in ascending order.\nAnswer: -4, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (1 + 3*sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108) - (sqrt(108) - (sqrt(108) + sqrt(108) + 1 + sqrt(108) + -3)))*3 + -2 + 0)**2.\nAnswer: -2592*sqrt(3) + 62284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.118 * 17.\nAnswer: 36.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Let m(r) = 6*r + g*r**3 - 6 + 2*r + 14. Let u be 68\/16*(-19404)\/(-27489). Let d(n) = 2*n**3 + 3*n + 3. Determine u*m(h) - 8*d(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -397481105 - -397481141.0000053. Let l = -36 + q. Round l to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m = -4*x + 204, 4*x - 212 = 4*m. Suppose 73*r - x = 71*r. Calculate the lowest common multiple of 20 and r.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 10. Let c = t + 56. Solve 0 = 4*k + d + c, 4*k - 7 + 21 = 2*d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59554 divided by 11\nAnswer: 5414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 8. Let s = 60 - -20. Let g = s + -80. Sort -4, -1, g, p in descending order.\nAnswer: p, g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - k + 1. Let q(x) = -x - 2. Let w(r) = q(r) - y(r). Let v be w(0). Let l(b) = -19 - b**3 - 4*b**2 - 5*b - 11 + 28. What is l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*u = 32, 0*u + u - 13 = -2*x. Suppose -24 = x*q - 3*l - 1, 4*l = 20. Let d be (4\/(-6))\/(q\/(-3)). Sort d, -2, -3 in descending order.\nAnswer: d, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -1) + -33 - (-2 + (-4 - 19) - 5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a**2 - 11*a**2 - 11*a**2 - 3*a - 9*a**2.\nAnswer: -8*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -3*c. Let r be 1\/(-4) - (-50)\/8. Let f(w) = w - w**3 - 4*w - r + c + 3 + 5*w**2. Determine f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 371 = 8*s. Let m be 8\/(-44) + 1776\/(-33). Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(222560\/(-2336) + 95).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -110170, -109574, -108580, -107188, -105398, -103210?\n\"Answer: 199*x**2 - x - 110368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*g + 3 = -3*n, 5*g = n + 12. What is the third derivative of n*t**3 + 42*t**2 + 37*t**2 + 7*t**3 + 2*t**5 - 41*t**2 wrt t?\nAnswer: 120*t**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1341*u - 28 = 1337*u. What is the remainder when 368 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268406.44 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.69 + -0.31. Which is the third biggest value? (a) 3 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -0*r - 3*r. Let c(s) = -20*s + 142. Calculate the least common multiple of r and c(6).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 21. Let r = n + -2. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -52 + (-6 - -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 4*u)*(-95*u**2 + 26*u**2 - 51*u**2 - 2*u).\nAnswer: -240*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(18\/((-4428)\/533)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 - 6 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyggycychhyycyyy. Give prob of picking 2 c.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and 1648505.8416607.\nAnswer: 1648505.9216607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.580995 days to nanoseconds.\nAnswer: 136597968000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 34 = -450 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4009 + -3?\nAnswer: 4006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-408)\/(-1071))\/((2\/3)\/1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 54*a**2 + 57*a + 107. What is k(-55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.02, -4, 0 in increasing order.\nAnswer: -4, 0, 0.02, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2815 is divided by 701.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*a**3*x**2 - 20932537*a**3*x + 542*a**2*x + 464692*a*x**2 wrt a?\nAnswer: -60*x**2 - 125595222*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390725 is divided by 709.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1214, 2489, 3822, 5213?\nAnswer: 6662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*w**2 + 0*w**2 - 6 + 0*w**2 - 12*w + 9*w**2 - 4*w**3 + 4 wrt w.\nAnswer: -24*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18739587?\nAnswer: 3, 307, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-1 - -1)\/(-2). Suppose z - 7*z = -i*z. Suppose 20 = -0*o + 4*o. Sort o, z, -1 in increasing order.\nAnswer: -1, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 71, -0.07, 0, 0.3, 8 in descending order.\nAnswer: 71, 8, 0.3, 0, -0.07, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/28 and 25\/553.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*z + 16*z + 10*z + 12*z + 9*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (5 + 4 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 65825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 352929 + -4?\nAnswer: 352925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -h - 25, 2*h - 27 = -3*r - 0. Let v be (-75)\/(-24) + (-7)\/56. Let w = v + 6. Is r > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 6415638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*d**2*x**3 - b*d**2 - b*d - 5*d**3*x**3 - 4*d*x**2 + 2*x**3 - 2 wrt d.\nAnswer: -4*b*x**3 - 2*b - 30*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -9 - (-20 + 13). Put 3, v, 4, 17 in increasing order.\nAnswer: v, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -54 + -9 + -1 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + z + 97 = 0, 2*t - 3*z = 159 + 34. Let r(c) = -c**2 + 30*c + 148. Calculate the lowest common multiple of t and r(32).\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189*h**3*n**4 - 127*h**3*n**3 + 49399*h**3*n - n wrt n.\nAnswer: 2268*h**3*n**2 - 762*h**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*y**2 - 3053*y + 3053*y - 2 - 1 + (-2 + 2*y + 2)*(-4*y - 2*y + 4*y) + 5*y**2 - 2*y**2 - 2*y**2.\nAnswer: -68*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 13, a: 1, z: 5}. Give prob of picking 1 a and 2 r.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19517 and 134600?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 1. Let s(z) = -8*z - 9. What is 18*o(f) - 2*s(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + 0.35. Suppose r = 4*b - 517, 5*r - 2*b + 2068 = r. Let i = r - -498. What is the third biggest value in 0.5, i, q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1374.635 + 3.111\nAnswer: 1377.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/((18\/(-4))\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -582280*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-2*-1 + -2 - (sqrt(77)*-1*5)\/(sqrt(175) - (sqrt(175) + -1*sqrt(175)) - sqrt(7)))**2.\nAnswer: -29*sqrt(11) + 9315\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 + 24*x + 126. Determine y(11).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + v + 5*v)*(3*v + 0 + 0) + (3 - v - 3)*(-108*v - 14*v + 9*v) + (4 - 1 - 1)*(v**2 + 0*v**2 + 0*v**2) as t*v + y + g*v**2 and give g.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 6*m - 1. Let p be h(-5). Suppose p = -2*k - 3*w, -3*k - 5*w = 2 + 6. Solve -k + 1 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10742 - 10750.821. Let p = d + -0.179. What is the closest to -1 in 4\/3, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-988)\/(-38) + (5 + -29)\/3. Which is the third smallest value? (a) -4 (b) -0.047 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*y**3 - 1 - 9\/5*y - 3\/5*y**2.\nAnswer: (y - 5)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Which is the closest to j? (a) -0.3 (b) -1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201251 (base 9) to base 14.\nAnswer: -31547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653*o + 3*p = -649*o + 257, 3*o - 2*p + 194 = 0. What is the second biggest value in 0.1, 0, -0.2, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.18 + 4.82. Sort p, 2, -4 in decreasing order.\nAnswer: p, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 7?\nAnswer: 41\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and 1.1?\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.4 - -2.4. Let w = t - -20. Put 1\/6, w, 0.1 in increasing order.\nAnswer: w, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734326986.\nAnswer: 2, 3, 122387831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2900 by 58.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b**(2\/15)*b)))\/(b*b**(-2\/5))*b*b*b**10*b\/b**5)**(22\/3) assuming b is positive.\nAnswer: b**(2486\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0.5, 6672, 0.09 in increasing order.\nAnswer: -21, 0.09, 0.5, 6672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a + 3*a)*(-5*a**2 - 10*a**4 - 7*a**2 + 10*a**2).\nAnswer: -50*a**5 - 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -354 + 251. Let w = t + 105. Let k be 2\/(((-1)\/(-3))\/((-1)\/w)). Sort k, -8, -4, 5 in decreasing order.\nAnswer: 5, k, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 458047, 916096, 1374155, 1832230, 2290327, 2748452?\nAnswer: 3206611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 3, v: 2, c: 3, j: 1}. What is prob of sequence nvj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-27)*3\/14. Let p(m) be the second derivative of 1\/105*m**6 + 2*m + 0*m**3 + 0 + t*m**4 + 1\/35*m**5 + 0*m**2. Factor p(x).\nAnswer: 2*x**2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.51 - 23.49. Let x = g - -23.86. Round x to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-440)\/(-15) + -2)\/((-6)\/9). What is the units digit of (-1)\/(1\/(-149))*(-39 - m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -761*l + 68001. Determine i(89).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 9*w**2 + 7*w + 10. Let t = 19 - 11. Let m be i(t). Suppose r + m*r - 9 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1921 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 9*r**2 - 13*r + 37. What is p(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10209046 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.06, 0.1, 2, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864)*-2*-6)\/(sqrt(4)\/(2*sqrt(2))*-1) + 3)*4.\nAnswer: -1152*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 732, 777, 804, 807, 780?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q = 17*q - 2*n + 32, -2 = -n for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 7*j + 19*j - 24*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 47 (b) -2\/7 (c) 0.3 (d) 5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1544\nAnswer: 5\/1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 2:53 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5\/2, -0.04, 2.7, 5, 0.4, 0.8, -0.176?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - (-2 + -1) - (-17 - (92 + -198)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 0*w + 9887. Let p = 15487 - w. What is p rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - 8 - 64\/2. Let m be (-3)\/(-2) + g\/4. Let o(v) = -3*v + v - v**2 - 3*v + v + 2. Determine o(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from vrrrrrorrlrr?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*i - 3. Let p = 5.05541 - 0.05541. Put 0.1, i, p in descending order.\nAnswer: p, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -482610*r + 482610*r - 154*r**2. Let a(g) = -40*g**2. Give a(o(b)).\nAnswer: -948640*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4 - 7. Sort 2, 2\/5, -4, f in descending order.\nAnswer: 2, 2\/5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b - 24*b + 26*b**2 + 13*b as v + l*b**2 + m*b and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 50*a**2 - 18*a + 71. Let t(u) = 101*u**2 - 42*u + 145. Give -3*t(z) + 7*w(z).\nAnswer: 47*z**2 + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21158093629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2. Let y(u) = -16*u**2 - 23. Determine y(r(w)).\nAnswer: -64*w**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/8)\/(-3)*(1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1062 - 335. List the prime factors of w.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -7*d**5\/5 - 4*d**2 - 18. Find the second derivative of c(y) wrt y.\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33230 is divided by 156.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*m**2 - 16*m**2 - 28*m**2)*(2*m + 2*m**2 - 2*m).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/9 (b) 1\/10 (c) -233 (d) -67\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3706\/85)\/(-1))\/((-17)\/(1105\/26))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -296979.877 rounded to the nearest one thousand?\nAnswer: -297000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -2.5. Let p = -45 - -47.1. Let s = p - 2. Which is the biggest value? (a) s (b) f (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1, 354\/5, 24, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/62*(-1606)\/4015.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -5, -0.238?\nAnswer: -0.238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1116 and 79\/90?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 8*h - 1796. Let t = -40 + h. What are the prime factors of t?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.1 (b) 2\/5 (c) 2 (d) 0.2 (e) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**6\/30 + s**4\/12 + 22*s. What is the third derivative of c(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1198*n**2 + 17119. Let u(r) = -3*r. Give d(u(v)).\nAnswer: -10782*v**2 + 17119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*f - 191 = 0, 5*f + 116 = 5*v - 339. What is the greatest common factor of v and 7172?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-11)*a**(15\/7)*a)\/(a**(4\/3)\/(a*a**(-16))))**(-3\/4) assuming a is positive.\nAnswer: a**(127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 6*n = -5*n - 9, 3*d + 12 = 2*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465774471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*c + 3*c + 673, -4*q = -c - 2673. What is the second derivative of -q*h**2 + 701*h**2 - 4 + h + 1 wrt h?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 2*r - 10 + r + 11. Let x = -1040 - -1081. What is the remainder when x is divided by f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 20*w - 17. Let d be n(19). Suppose 166 = 4*z - d*z. What is the remainder when z is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (810\/(-40) + 4)*(756\/(-35) - -16).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/157 - 161\/314. What is the third smallest value in f, 9, 0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -109*a. Let g(d) = 4*d. Give g(x(f)).\nAnswer: -436*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398234286.\nAnswer: 2, 3, 7374709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15980 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6449 and 115585427.\nAnswer: 6449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**4\/4 - 2*z**3 - 6*z**2 + 11*z - 111. Calculate b(8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3232 + 11?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*((sqrt(117)\/sqrt(3))\/sqrt(3) + 0).\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 777, 374, -31, -438?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70\/11 - 608\/99. Let z = 135\/4 + -34. What is the closest to 0 in z, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 837 + -847. Which is bigger: m or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 2. Calculate the common denominator of (-26)\/16 + 3\/(-2) and h + 39\/(-8) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/33 and -5\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0 + 0)*(5 - 5 + 2) + 5 + j - 5 + 4 + j - 4 + 4*j + 0*j + j - 3*j + 3*j - 2*j + (-2 - 4 + 4)*(-2 + 2 - 2*j) - j + 0*j + 2*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -3\/2*b**2 - 14*b - 28 - 9\/4*b**4 + 0*b**3. Find the second derivative of x(i) wrt i.\nAnswer: -54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 253, 1137 in decreasing order.\nAnswer: 1137, 253, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 600844750 to the nearest 100000.\nAnswer: 600800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let k = -7 - -9. Let r(o) be the first derivative of 1 + 0*o + 0*o**k + 2\/3*o**3. What is r(v(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 1. Let g(k) = -8*k - 3. Let f be ((-660)\/(-90))\/(4\/6). Calculate f*i(o) - 4*g(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 1 + 1 + 0. Suppose -3*s - s + 20 = 0. Let j(t) = -s*t - t + 5*t. Calculate -3*i(d) + 2*j(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 607 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3570 and 17115?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -240524 (base 7) in base 13?\nAnswer: -16a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(19*(-42)\/399).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/(120\/75 + -10).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 7\/30*v**5 + 0 + 7\/6*v**3 + 0*v + 7*v**2 + 5\/12*v**4. Is y(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -2*(-27)\/30. Let z = 5 - 4. Which is the closest to -1? (a) 4 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2. Let y(h) = 5*h**2. Let j(x) = 3*r(x) + 2*y(x). Let c(p) = -2*p - 10. Determine c(j(u)).\nAnswer: 4*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -430 + -2?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -31*p. Let c = 9 + -15. Suppose 170 + 380 = 4*d - 150. Let y(s) = -900*s. Let z(i) = c*y(i) + d*r(i). Let a(t) = 2*t**2. Determine a(z(q)).\nAnswer: 1250*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (7 - -1))*(-8)\/(-18)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2 - 7*d + 6. Let l(q) = 2*q**2 + 9*q - 6. Let o(y) = -3*l(y) - 2*u(y). What is o(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*m - g, 4*m + g + 45 - 28 = -8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1. Let u(i) = i**3 + 18*i**2 - 17*i + 42. Let j(x) = -3*m(x) - u(x). Let c be j(-19). Let w(a) = 4*a + 10. What is w(c)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 11*z**2 - 30*z + 5. Let r be ((-8)\/(-14))\/(24\/252). Let w be m(r). Which is the nearest to -3? (a) 1\/2 (b) w (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37162 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1300137 is divided by 650057?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 644 = -4*f, -f + 6*f + 2*n - 805 = 0. Let a(j) = -j**3 - 6*j**2 - 14*j - 38. Let v be a(-6). What is the highest common divisor of f and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + 1. Suppose 5*v = 7*v + 3*k + 9, -7 = v + 2*k. Let n be (-4 + 7)\/9*v. What is m(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 97 - 25 - (37 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5358806 is divided by 1824?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 2*p - 21 + 19, -2*j + 6 = -2*p + 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -179 divided by 35567\nAnswer: -179\/35567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*g + 28 = 545*g + 2*w, -w + 209 = 24*g + g + 10*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*f = 98*f - 28 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2 = i + 4*m, -2*m - 14 = -4*i. Let c(x) = x**2 + 2*x - 6. Let a be c(-5). Suppose -i*z = -3*z + a. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32712 and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 = f - 2*y, 2*f + 4*y - 24 = 0. Suppose f*k - 528 = 6*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104310, -104326, -104356, -104406, -104482?\nAnswer: -104590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 4112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 6*m. Solve m = y - 5*y + 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 6*b**2 - 14*b + 30. Calculate f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 11 = 8 + 2 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.4811g to micrograms.\nAnswer: 9481100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.0598 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/7 smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 196024249 to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 66 - -56777898172.6\nAnswer: 56777898238.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(1 - (-5)\/(-1)). Is 8\/(-10)*(-70)\/i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 93 (b) 0.02 (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237273, 237291, 237307, 237321, 237333, 237343, 237351?\nAnswer: 237357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8552.120718 and 0.5.\nAnswer: -8551.620718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*2\/(-10)*(-5)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 56308328*w. Let q(c) = c**2. Determine h(q(y)).\nAnswer: 56308328*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/20*(-71 + -1). Let d = -79 + i. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/2*24*16\/(-108)*309\/412?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(1205*s**2 - 42341*s + 42341*s) - 4*s**2 + s**2 + s**2.\nAnswer: -1207*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/2 + 83*m**3\/2 - 455*m**2\/2 - 539*m\/2 = 0. Calculate m.\nAnswer: -1, 0, 7, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooddmooduoum. What is prob of sequence uoo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 8 + 11 + 21 = 0, 0 = -3*i + 3*a + 21 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w, 26*r - 27*r + 2 = 3*w. Let u = -32 + 33. Which is the nearest to r? (a) 7 (b) u (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, 0.045, 1\/5, 1.2, 154, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/26 + (-138892362)\/(-182). Let h = m + -439374. Suppose -5*u - 106249 = k + h, -k + u - 429996 = 0. Round k to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*j + 30, -3*j + 0*j + 12 = -k. Let b(v) = -7*v**2 - 3*v + 7. Let t(y) = -48*y**2 - 20*y + 48. Let s(w) = j*t(w) - 20*b(w). Factor s(a).\nAnswer: -4*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -199532874, -199532867, -199532848, -199532811, -199532750, -199532659, -199532532, -199532363?\n\"Answer: z**3 - 199532875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2244*j**4 - 1379*j**3 + 38320*j**2 + 2*j - 25?\nAnswer: -53856*j - 8274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - j + 3*b = 42, 0 = 3*j + 5*b - 22. Let f = j + -5. Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2006 and 344.\nAnswer: 690064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*o)*(-4*o + 0*o + 5*o) + (7 + 3*o - 7)*(371*o - 270*o - 217*o).\nAnswer: -350*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d + 2. Suppose 4*x - 2 - d = -3*q, 2*q - 7 = -x. Let m = q + 1. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2 (c) 0.0848 (d) 0.73 (e) -16\/5 (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 29.\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5979*r - 13846. What are the prime factors of h(13)?\nAnswer: 127, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 4*p**2 + 6*p + 7. Let x be v(-5). Suppose 8*f + f = f. Let l = 0.3 - 1.3. Which is the second smallest value? (a) l (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 37 = p. Let l = 2 - 1. What is the third biggest value in p, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w. Let r be g(0). Suppose 4*u - p = -2*p + 14, -2*u + 2*p + 12 = r. Suppose u*h - 21 - 19 = 0. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130284 and 2399256?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1068.392.\nAnswer: 4273.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 9:48 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 632260 and 105?\nAnswer: 13277460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 1. Let i = 19 + -16. Let d(s) = 3*s - 1. Determine i*d(z) - 4*w(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -67821+0.032888\nAnswer: -67820.967112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97823?\nAnswer: 11, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44186*r - 46643 wrt r.\nAnswer: 44186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*u - 395*u + 2808 = -112*u. Let s be -15 + 2\/((-1)\/1). Let g(f) = -8*f - 2. Let h(o) = -23*o - 6. Give s*g(a) + u*h(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 12. Do 0 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, -0.4, 0, -0.12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3 - 7. Let c = 0.7 + j. Let w = 0.4 + -0.8. What is the closest to -1 in 1\/5, w, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22237010437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 2 (b) -5814 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1386\/4)\/33*(-4)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*z - 2. Let l(k) = -3*k - 7 - z*k + 2*k. Let b(p) = 5*p + 6. Suppose 3*v - 2*c + 4 + 0 = 0, -4*v + 5*c = -4. Calculate v*l(y) - 5*b(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 35 = -22. Let z = -65 + g. Let v(i) be the second derivative of -i**4\/12 - 4*i**3\/3 + 2*i**2 - i. What is v(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -z - 5*h, 13 = 4*z + 14*h - 17*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001492 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4733 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 105.55*497\nAnswer: 52458.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 2. Let w = 4\/61 - -94\/427. Which is the closest to w? (a) h (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128 - 24 + 8)*(5 + a**5 - 5) + 0*a**5 + 3*a**5 + 3*a**5 - a**5 - 3*a**5 + 6*a**5 + 0*a**5 + a**5 - 2*a**5 + (-a**3 + 0*a + 0*a)*(0 - 2*a**2 + 0).\nAnswer: 121*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/4))**(4\/37)*(w**(-1))**(-1\/15))**(-33\/2) assuming w is positive.\nAnswer: w**(-616\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t - 26*t = 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (-78)\/(-21)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -12.47?\nAnswer: -4.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6276953 + 61?\nAnswer: -6276892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*s = 3*o - 8, 4*o = 3*s - 6. Suppose 0 = 2*p - 2*c - 7 + 1, 3 = p - 2*c. Solve -p*v + o - 9\/2*v**2 - 3\/2*v**3 = 0 for v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**7\/840 - 7*q**6\/360 + 5*q**4\/24 + 3*q**3\/2 - 29*q**2 - 2*q. Let h(u) be the first derivative of l(u). Give h(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(2) + sqrt(405) + 2 + sqrt(5) + ((-1 + 1 + sqrt(5))**2 + sqrt(5) - (sqrt(5) + sqrt(40)\/(sqrt(16)\/sqrt(2)) - sqrt(5))).\nAnswer: 7 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1349426 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/4*(13671\/1029)\/(2\/14)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d - 26 = -8*d + 1 + 9 + 3, 0 = -5*b - 4*d - 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 x, and 1 m when four letters picked without replacement from {h: 3, m: 1, x: 4, k: 2, l: 2, n: 6}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(448) + 2*sqrt(448))**2 - ((sqrt(21)*2 - sqrt(21)) + sqrt(21))\/sqrt(3).\nAnswer: -4032 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - p - 1 = 0, 10*p - 5*p + 24 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 74 times 609642\nAnswer: 45113508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 201257 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*q - 272*q + 61*q**2.\nAnswer: 61*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 4 + 4)*(19*r**2 - 34*r**2 + 17*r**2)*(-11 + 11 + 6*r**2).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 376759389*s**4 + 6094372*s - 20 wrt s.\nAnswer: 4521112668*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -284, 424 in decreasing order.\nAnswer: 424, 5, -1, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661738 is divided by 10503.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/((d\/(d**(-4)*d))\/d))**(4\/3)*(d**4*d)\/d**(-11))**(2\/5) assuming d is positive.\nAnswer: d**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13271671?\nAnswer: 7, 19, 99787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16473 and 1122?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4311341 (base 5) to base 8\nAnswer: -216021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136034887 a multiple of 1046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.40499 to 1 decimal place.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {b: 2, z: 3, i: 1, o: 7, f: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 64 = -4*s, 4*h - 2 = s + 59. Let y = h - 1. Solve -o + 1 = -2*t + 2, -2*t - 4*o = y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 25.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21*(-13)\/91)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-12)*5\/((-160)\/3)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.1 + -15.6. Suppose 0*n - 6 = 2*n. Which is the nearest to 0? (a) -0.3 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42629?\nAnswer: 47, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 323*y**3 - 6*y**2 + 19. List the prime factors of j(5).\nAnswer: 2, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 + 58653*i**2\/4 + 58650*i + 58649.\nAnswer: (i + 2)**2*(i + 58649)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 26 = -5*n, -4*t - 3*n + 21 = -t. Suppose -5*a = 2*o + 54, -2*o - 26 = t*a - 4*o. List the prime factors of ((-16)\/(-20) - 2)*a\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*t**4 - 45 wrt t?\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 6558 = -2*s - 13*g, 0 = -2*g + 12. What is the remainder when s is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -187\/7 + 25. Which is greater: -3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 + 13564*u**2\/7 - 54424*u + 381360.\nAnswer: 2*(u - 14)**2*(u + 6810)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208710 and 15390?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91 - (-5 + -9 + 11 + -15)) + -20.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 t, and 1 b when four letters picked without replacement from rrawxabwatw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 19\/7482?\nAnswer: 19\/7482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315007?\nAnswer: 1315007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**4\/12 + c**3\/2 + 17*c**2. Determine u(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2878*s**2 + 14084*s + 144896694?\nAnswer: -5756*s + 14084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11227, -11240, -11251, -11260, -11267, -11272?\n\"Answer: x**2 - 16*x - 11212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-130)\/12 - -13*138\/(-299) and 149\/174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 930724801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6537899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = o, 0*o - 2*w - 14 = -2*o. Suppose -4*r + 0*p - 5*p - 3 = 0, -o*r = 3*p. Let b(q) = -3 + 92*q**2 + 0*q - q**r - 89*q**2 - q. Give b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94, 507, 936, 1393, 1890, 2439, 3052?\n\"Answer: 2*h**3 - 4*h**2 + 411*h - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t**3 + 958745*t**2 + 9191823875*t - 1838403125 = 0. What is t?\nAnswer: -19175, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3386783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 3*w - 2*w**2 - 4*w**3 + 3 + 2*w**3 + 0*w**3 - 33 as j + c*w**2 + h*w**3 + x*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d - 7*d + 10*d)*(4 + 1 - 3)*(4 + 0 - 3) in the form h + o*d and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 6:11 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**2\/2 - i - 2. Let c be n(3). Let j be 453\/9 + c\/(-6). What is the highest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57906 - 57672 = 26*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109351091*d**4 + 786*d**2 + 575351*d wrt d.\nAnswer: -2624426184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -113. Calculate the lowest common multiple of 7 and x.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t**(2\/15))))\/t)\/t)\/t*t*t**(-4\/9) assuming t is positive.\nAnswer: t**(-59\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/6 of a minute?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6206468707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*q + 831*q - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16151496 divided by -6?\nAnswer: 2691916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -z + 11, 5*z + 27 - 42 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(x - 1 + 1) + 4 - 2 + 3*x + 3*x)*(-3 - 6*x + 3).\nAnswer: -42*x**2 - 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.3 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110777?\nAnswer: 110777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 71*k - 362. Let t be d(58). What is the greatest common divisor of 24 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 57957000 to the nearest 1000000.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 9) to base 11.\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -27. Calculate the greatest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 1872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 2*p + 44, 4*p - 8046 = -7966 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 277*s**3 - 98*s**3 + 42*s - 40*s.\nAnswer: 179*s**3 + 2*s + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 4309 - 4309. Let h be 6\/(-21) - (-30)\/7. Let w be ((-48)\/4)\/(-4) - h. Put i, w, 5 in decreasing order.\nAnswer: 5, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -2*q + q. Let s be 4 + (-38 - 1 - 4). Calculate the remainder when q is divided by 186*1\/8 + s\/(-52).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 194 + 194.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v**3 + 4*v**2 - 6*v + 16. Let i be u(-10). Let d be (-46)\/69 + i\/(-6). Let w = 2580 + d. Round w to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 + 2*v - 15. What is u(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k*k*k\/k**(-6))\/((k\/k**(-6))\/k**(-4\/9)) assuming k is positive.\nAnswer: k**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/5, 2, -0.05, -2\/319, -10?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvcvckkkkvvkvvvcck. What is prob of sequence kk?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 55, 69, 75, 73, 63?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14190 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -10.6?\nAnswer: -42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178436, 356863, 535282, 713693?\nAnswer: 892096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1271\/90 - -164\/9. Calculate the common denominator of p and 53\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6084 = -7*w + 664. Suppose -8*n = -w - 924. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184*r + 32239*r**2 - r**5 - 32239*r**2 - 24*r**3 + 32*r**5 wrt r?\nAnswer: 620*r**3 - 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -69, -177, -349, -597?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-6) - 2\/(-6). Suppose 20 = -0*f + o*f. Find the first derivative of -f*k - 1 + 7*k + 2 wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 24. What is the lowest common multiple of s and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08225 + 0.17. What is f rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -325 - -542. Calculate the remainder when w is divided by 69.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:59 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - (2 - -3)) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1859*m = 649*m + 4994*m - 92*m + 666900 for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 10304*c**2 - 8526*c + 91. Let p(y) = 687*y**2 - 570*y + 6. Let w(h) = -91*p(h) + 6*s(h). Find the second derivative of w(f) wrt f.\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48773*v**3 - 306065 wrt v?\nAnswer: -146319*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5264?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-8 + 13 + 4 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140699729.\nAnswer: 3163, 44483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3732.1 + -3732. Are -13\/55 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g**3 + 6*g**3 - 6*g**3)*(189*g + 1396*g - 757*g + 1607*g).\nAnswer: -26785*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 328*d**2 - 6*d + 9. Let s be h(-4). Suppose -s + 1513 = -8*v. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 65*s - 586. Let y be m(9). Let p(r) = r - 1. Let l(t) = 39*t - 52. What is y*l(o) + 52*p(o)?\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 9:03 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35860 by 312.\nAnswer: -8965\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2 - sqrt(72))\/sqrt(12) + sqrt(6))\/(sqrt(128)\/sqrt(4)) + (-4 + (sqrt(192) - (sqrt(192)*3 + -1)) + sqrt(192))**2.\nAnswer: 97*sqrt(3)\/2 + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/4362041?\nAnswer: 4\/4362041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 - 11*h**3 + 15*h**3 + 0*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 10)*(-2*q**2 - 2*q**2 + 6*q**2) - 3*q**2 + 3*q**2 + q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 - 13*p**2 + 3*p**2 - 13*p**2.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 444 - 5?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(171)\/sqrt(3))\/(sqrt(300) - sqrt(300)*2) + 1.\nAnswer: 1 + 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -2 - -8 - 3. Suppose -4*r = -8, -d + 0*d - 11 = -q*r. Let j = 0 + -4. Which is the smallest value? (a) j (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2\/(-3))\/(18\/27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226654.871157 + -226655. Let r = 2.43 + -2.559. Let x = v - r. What is x rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69405, -138916, -208427, -277938?\nAnswer: -347449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 2*v + 10*v + 17 - 31.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 34.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u. Suppose 4*h - 9 = 3*h. Calculate the remainder when b(-6) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.403 - 0.803. Sort g, 76, -4, 0 in descending order.\nAnswer: 76, 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21156 is divided by 6499.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -201, -640, -1493, -2898?\nAnswer: -4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1197964 (base 13) to base 11.\nAnswer: -30a8327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -7 - 158. Let n be x\/6*(-4 - -2). Calculate the highest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004772598.\nAnswer: 2, 502386299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4653 is divided by 72?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.6, -0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1558 + -1572. Let j(d) = d**3 - 2*d + 2. Let h be j(-3). Let q = 6 + h. Does n = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 839.009719 - 563.009348. Let s = -276 + v. Round s to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q + q**2 + 263*q**3 + 1 + 3*q**2 - 266*q**3 as f + o*q**3 + d*q**2 + v*q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 112078498 to the power of 1\/3, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g**(-1\/4)))**(-1\/15))**(1\/62))**(-13))**(-3\/23) assuming g is positive.\nAnswer: g**(-13\/28520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**3 - 8*s**2 - 18*s - 30. Let w be q(-2). Let m(o) be the first derivative of w - 4\/7*o**3 - 5\/7*o**2 + 2\/7*o. Factor m(c).\nAnswer: -2*(c + 1)*(6*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 794*o**3 - 390*o**3 - 376*o**3 - o + (-4*o**3 + 2*o**3 + o**3)*(1 + 5 - 5).\nAnswer: 27*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m**2 + 41*m**2 - 190*m**2 + 45*m**2 + 48*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 10*m + 5*s + 45666, 4*m + 2*s - 91428 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Let p = n + 3. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(4 - (1 - -1)). Let n = 2 + i. Let b(d) = -7*d**2 + 97*d + 17. Let r be b(14). Solve n*j = -j - r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101202 is divided by 1659.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1024?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2193065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**5)\/(s\/(s**(-1\/4)*s))*s**(1\/6)*s\/s**(-5\/6))**(-2\/171) assuming s is positive.\nAnswer: s**(1\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0 + 1\/2*b**2 - b. Let g(x) = -x + 1. Let y(t) = g(t) - n(t). Let f(a) = 2*a**2. Give f(y(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 13374*o + 119994. Calculate t(-9).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 6*m = 9. Solve 8*t = m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 7*j**2 + 5*j + 134. Determine f(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 6*c - 2. Let t be b(-5). Suppose -28 = -5*w - t. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79 + -9?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4865404 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/15*6\/(-14)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1729461889 to the nearest integer?\nAnswer: 41587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3\/74, -128 in descending order.\nAnswer: -3\/74, -0.1, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21374 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose -o*c = -4 - 0. Suppose -2*i - l - 11 = -4*i, 5 = c*i + 5*l. What is the smallest common multiple of 7 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 times -0.5\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6803933 litres in millilitres?\nAnswer: 680.3933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 5:34 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 10*q - 31. Let r(y) = 2*y**3 + y**2 - 4*y - 1. Let d be r(3). Let b = d + -65. Is 44 a factor of p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 12150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*k = 64*k - 45. Suppose k*l + 4*g - 21984 = 3*g, l - 7339 = -4*g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by 1243510.\nAnswer: 67\/621755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 - -4.76. Let v = -3 + h. Put 0.01, 0.4, 4, v in descending order.\nAnswer: 4, v, 0.4, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 6 - -5) + -3 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000802206 rounded to six decimal places?\nAnswer: 0.000802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 3*m**2 + 3*m**2 + 2*m**3 + (2*m + 2*m - 3*m)*(m**2 - m**2 + m**2) - 4 + 4 + m**3.\nAnswer: 4*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Suppose 0*v = -4*v. Put o, v, 4 in descending order.\nAnswer: 4, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436951?\nAnswer: 17, 25703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/138 and 101\/294.\nAnswer: 6762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 - 8. Let x = j - -10. Suppose 4*g - 19 = x*w + 1, 6 = 3*g + 3*w. Solve v - 12 = 4*f + 12, 5*f + 9 = -g*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**3\/6 - 17*y**2\/2 - 3*y. Let m(z) = -2302 - 2276 + 2*z**2 + 4578. Give m(f(u)).\nAnswer: 2*u**2 - 68*u + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243*g - 243*g - 12*g**3 + 11*g - 11*g - 8*g**3 + (-4*g + 0*g + 3*g)*(g - g**2 - g))*(-3 + 4*g + 3).\nAnswer: -76*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -4164?\nAnswer: -4164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*k**3*u**3 + 2*k**3 + k*u**3 + 2*u**3 + 1413*u**2 wrt u?\nAnswer: -156*k**3 + 6*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -220 - -217. Let x = -737 - -703.9. Let t = 33 + x. Which is the closest to t? (a) -2\/5 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (168\/(-18))\/(-7)*6 + 152672\/8.\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -37, -2.31, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4 + 4*t**4 - 211 - 87*t + 52*t**3 - 13*t**3 + 288*t + 295 + 153*t**2 = 0. What is t?\nAnswer: -7, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 13 = -12*d. Let j(c) = -2*c - 3. Let y be j(d). Find h such that 46*h**2 - 47*h**2 - 4*h + 0*h - y = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29\/28 + 29\/21. Find the common denominator of -59\/22 and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 396519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddkwdmcdkcpd.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.055 - -0.145. Which is the nearest to 0? (a) -0.28 (b) y (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 15*b + 16. Suppose 9 = -3*r - 30. Let t be f(r). Calculate the common denominator of 4 + (71\/t - 3) and -61\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y*y)**(-1\/11)*(y\/(y**(-9)*y))\/(y*((y**(-6)*y)\/y)\/y))**(-12) assuming y is positive.\nAnswer: y**(-1968\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + (-240)\/(-11) - (-4)\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 14*u**2 - 6*u + 16. Let s(w) = w + 1. Let d(y) = q(y) + 6*s(y). Differentiate d(o) wrt o.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(2 + -1) + 9. Suppose -h = 5*c + 17, 0 = -q - c - 2. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -1. Suppose 4*v - 5*v = -4*w - 15, -3*w = -5*v + 24. Find the third derivative of 9*f**4 - 5*f**6 + v*f**2 - 9*f**s wrt f.\nAnswer: -600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 4*z + 32 = 0, 26 = 2*c + 2119*z - 2123*z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*g*u + 15*a**3*u - 14*a**3 + 633*a**2*u + 57762*a*g*u - 1 wrt g.\nAnswer: 2*a**3*u + 57762*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 117, -3\/682, 0.5?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 2757466188.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - 5*d. Let g = 80 + -84. Let y(u) = -4*u**2 + 4*u. Suppose 4*f + 12 = -0*f. Give f*w(s) + g*y(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*sqrt(153) - sqrt(153)) + 3 + 5 + (-3 + sqrt(153) + -4 - (sqrt(153) - 3*(-4*sqrt(153) - sqrt(153)))))**2.\nAnswer: -228*sqrt(17) + 55237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 19808666 divided by 2\nAnswer: 9904333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Suppose -5*f = 16 - w. Let u(q) = q**2 + 3*q. Give u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7*f**2 - 4*f**3 - 7*f**2 + 1.\nAnswer: -4*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/13780 and -117\/40.\nAnswer: 27560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10446967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 858, 3351, 7506, 13323, 20802?\n\"Answer: 831*n**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -28966.8833 to the nearest integer.\nAnswer: -28967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**3 + 16*g**3 - 6 + 21*g**3.\nAnswer: 23*g**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, u: 3, a: 1}. Give prob of picking 4 c.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-160)\/96)\/(10\/(-36) - 0). Let d(f) = 2*f**2 - 30085 - f**2 + 30083 + b*f. Give d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -n - 5*k + k, -5*n = 3*k - 8. Suppose -z + 55 = -4*a, 4*a = z + 3*z - 196. Let m = z - 19. What is the greatest common divisor of n and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5344 + 17.9.\nAnswer: -5326.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 796469*u. Let y(q) = 13*q**2 - 2*q. What is n(y(f))?\nAnswer: 10354097*f**2 - 1592938*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*o + 31363 - 15676 - 15687.\nAnswer: -293*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16488543, -32977083, -49465621, -65954157, -82442691, -98931223?\n\"Answer: a**2 - 16488543*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1390.\nAnswer: 15290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*d**2 - 51*d**2 - 3*d**3)*(95*d + 103*d - 285*d) to the form j*d**2 + f*d**4 + b*d + u + a*d**3 and give f.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205544401 to the power of 1\/2, to the nearest integer?\nAnswer: 46963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115776266?\nAnswer: 2, 57888133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = p - 17, 2*p = 5*x - 51 - 5. Suppose -x*t = 3*t - 2678. List the prime factors of t.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81432*d*l**2*n**2 - 13*d*l*n**3 - 6*l**2*n**3 + l**2*n**2 - 2*l**2*n - l - 9982*n**3 - 3*n**2 with respect to d.\nAnswer: 81432*l**2*n**2 - 13*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1740*h + 117972 = 723*h for h.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x + 4. Let a(o) = 3*o - 2. Let h be a(1). Let d(w) = -3 - 2 + 4. Let c = 70 + -64. Calculate c*d(b) + h*t(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -19.4. What is the smallest value in y, 9\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -128*x**4\/3 - 32480*x**3\/9 - 618664*x**2\/9 + 985418*x\/3 + 27848 = 0. Calculate x.\nAnswer: -177\/4, -1\/12, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2199 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -36*s. Let m(n) = -15*n - 7. Let o(p) = 10*p + 5. Let x(c) = 5*m(c) + 7*o(c). Determine -6*a(t) + 44*x(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 311, 648, 985, 1322?\n\"Answer: 337*n - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 19*j**2 - 31*j + 232. Let u be m(18). Is -42\/65 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*t - 7*t - 12*t)*(-1 + 1 - 2*t + 3 - 3 + t + (0*t + 0*t + 2*t)*(2 + 1 - 4) + 3*t - 3*t - t).\nAnswer: 136*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c*c**(2\/7)*(c\/c**0)\/c**(-5))\/(c**(-2\/29)*c*c**(1\/9)*(c**(-1\/2))**(-26)) assuming c is positive.\nAnswer: c**(-19652\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10 - 5*s + s + s**2 + 5*s. Suppose -3*g = g. Let w be q(g). Solve 3*z + w = 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*a - 3*a - 6, 0 = 2*l. Let k be 0*a*2\/(-6). Solve k = -g - 4 + 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 2, t: 1, z: 3, c: 1, x: 8}. What is prob of picking 3 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 - 2922 = -91*t + 2748 for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40243216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 152990 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8688, 17497, 26436, 35505, 44704, 54033?\n\"Answer: 65*k**2 + 8614*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(((-231)\/14)\/11)\/(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1416455.775 seconds to weeks.\nAnswer: 2.3420234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 4:33 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z + 4. List the prime factors of a(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (-5 - -5)\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1062*c - 1. Let a(l) = -18667*l. Give a(k(z)).\nAnswer: 19824354*z + 18667","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (750\/52)\/((-2)\/48). Let c = 346 + z. Sort c, 3, 0.4 in descending order.\nAnswer: 3, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*m**2*v**6 - 46*m**2*v**2 + 15*m*v**2 - 14*v**4 wrt v.\nAnswer: 4200*m**2*v**3 - 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 617, 1123, 1629, 2135, 2641, 3147?\n\"Answer: 506*a + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*o = -2*f + 8, -f - 16 = -5*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 4. Let u(c) = -c + 3. Let o be u(6). What is the biggest value in l, o, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*t + 360 = 121*t. Let i = 54 + -24. What is the greatest common factor of i and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*c - 33*c + 1116. Calculate the remainder when c is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + a - a)*(-6*a**2 + 7 - 7).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 214 - 204. Solve -6*z = -z - o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.97 - -37.29. What is o rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bba + 3?\nAnswer: -bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5\/20)\/(3738\/(-112) + 25)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)\/b**(-3\/2))\/((b\/b**(-1)*b)\/(b*b*b*b**(-4))))**(-2\/33) assuming b is positive.\nAnswer: b**(13\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -674535 + 4.3270033.\nAnswer: -674530.6729967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919\/209 - 4\/38 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-14 + (8 + 12 - -12)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = 1. Suppose 0 = -2*n - o*n - 275. Let p = n + 85. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by -29.\nAnswer: 89\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 28.25\nAnswer: -27.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6364?\nAnswer: 2, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -2.7?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 88 = -14*o. Suppose -3*z + 36 = 27. Suppose -z*i + 5*i - 3*c = 7, -3*i = -4*c - 10. Solve -i*j - j = -m - o, 0 = -2*m - 2*j + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(2))\/sqrt(9) + (sqrt(847) - (sqrt(847) - (sqrt(847)*2)**2)).\nAnswer: sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 + 5.4. Let q = -4\/941 - -179743\/2823. Let z = 63 - q. Put z, 1\/5, x in decreasing order.\nAnswer: x, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, 164, 237?\n\"Answer: 73*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 6 = -2*m - 20*i, -3*m = 4*i - 9. Solve -n = -2*l + 1 + m, 10 = 5*l + n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.9 (b) -2 (c) 0.55 (d) -1\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(2\/7)*d)**(-11\/5)\/(d**(1\/5)*d*d\/(d**(-8)\/d)) assuming d is positive.\nAnswer: d**(-722\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15116109 to the power of 1\/2, to the nearest integer?\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 182.333 to zero dps.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689205 is divided by 188.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*h + 9 = 0, q + 25*h - 9 = 22*h. Calculate the remainder when 776 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s - 2*n = 12, -2*s = -4*n - 14. Solve 7 + s = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4039)\/(-84) + 2\/(-24). Solve 23*m - r = 15*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100102 + 12111021200002?\nAnswer: 12111021022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*a**2 - 16*a + 3*a + 13*a)*(0 + 0 - 5 + (7 - 15 + 11)*(1 - 2 + 2) - 5 - 1 + 4).\nAnswer: -228*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -19796*a - 158729. Calculate d(-8).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w**2 - 23*w - 3. Suppose -3*m - 12 = -u, -4*m = 5*u - 7*m. Let r(y) = -5*y**2 - 23*y - 4. Let d(z) = u*r(z) + 2*x(z). Factor d(t).\nAnswer: (t + 3)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 99 = -3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x - 62*x = 0. Put -74, -2, 2, x in decreasing order.\nAnswer: 2, x, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 26247 = 74035. Let d = -4115 - -305. Let j = d - f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*h - 131 = 0, -h + 69 = 71. Let j be o\/11 + (-228)\/(-20). What is b in 4 + 18\/5*b - j*b**2 = 0?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 5*q**2 + 9*q - 32. Calculate f(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-19 - -107 - 159)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/60*14\/7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 711059670*o**2. Let g(z) = -2*z**2. What is j(g(f))?\nAnswer: 2844238680*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r. Let a(w) = 12*w**2. Give x(a(d)).\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 225, 258, 313, 396?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 1.4?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r = 55*r - 3. Suppose 0 = -y + 5*w + 101, -2*y = -r*w - 0*w - 223. What is the highest common factor of y and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((840\/(-875))\/(-6))\/2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - n - 1 = 0, 4*g + 3*n - 13 + 15 = 0. What is the closest to g in 2\/9, -1\/2, 18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(1 + sqrt(1584) + -5).\nAnswer: -24 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2091197, -2090939, -2090681, -2090423, -2090165, -2089907?\n\"Answer: 258*s - 2091455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77bc - -4b?\nAnswer: -7771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from yqyqyqyqqyyyy.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - (2 - -1))\/((-2)\/3). Let r = 224\/5 + -45. What is the closest to 0 in y, -1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Let j = 0.3 + t. Which is the third biggest value? (a) -5 (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*y**2 + 11*y**2 - 8*y**2)*(2*y**2 + 1 - 1 + (-4*y + 2*y + y)*(-5 + 5 - y) + (-3 - 2*y**2 + 3)*(-4 + 25 + 3)).\nAnswer: -900*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313555 is divided by 195?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7454893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.6, -55596, 292 in decreasing order.\nAnswer: 292, -0.4, -0.6, -55596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 4*w**2 - w + 4. Let p be h(-3). Let u = -10 + 5. Is 17 a factor of p*1 - (-41 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22019\/6 + -3680. Calculate the common denominator of (6807\/(-4538))\/(((-42)\/(-16))\/3) and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18*m + 420 = m. Solve -y = 2*r + 11, 3*r = m*y - 16*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(3)*-2 - (sqrt(12)\/sqrt(4) + 0).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2*v**4 + 140024*b**2 + 484*v**4 + 2 wrt v.\nAnswer: 12*b**2*v**3 + 1936*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 92*y - 2\/3*y**4 - 149\/2*y**2 - 1\/20*y**5 + 0*y**3 + 0. Differentiate k(c) with respect to c.\nAnswer: -3*c**2 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -9. Let p = 4 + v. Is 12 a factor of 3 - (p + 0 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u - 72 = 0. Let v = u + 26. Calculate the least common multiple of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 54. Let k(c) = 2*c**2 + 13*c + 5. Let o be k(-5). What is the units digit of 5\/(-30)*o*q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2199 - -2205. What is the remainder when 583 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/1725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266824 is divided by 1266818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**4 - 3*d**4 - d**4 + (-d**2 - 2*d**2 + d**2)*(-22*d**2 + 13*d**2 + 10*d**2).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (-6 + 5) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/51816 and -41\/25908.\nAnswer: 51816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(119))\/sqrt(7) + -4 + (sqrt(1088) - sqrt(1088)*-2) + 5 + (3 + -1 + sqrt(833))*-1.\nAnswer: -1 + 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express c**4 + 524*c**2 - 548*c**2 + 0*c**4 + 0 - 3 as d + s*c**4 + n*c**2 + a*c + h*c**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15585129 minus 611271?\nAnswer: -16196400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3950 = -19*y + 79*y + 19*y for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2348*i**2 - 2776.\nAnswer: 4696*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3768384 by 192.\nAnswer: -19627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 69. Which is the second biggest value? (a) t (b) -0.05 (c) -5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**15*n*n*n))*n**4)\/(n*n**(9\/5)*n**(2\/19)*n*n))**(-7\/6) assuming n is positive.\nAnswer: n**(-4011\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/17)*d**(-4\/11))\/((d\/d**(1\/3))\/(d\/(d\/(d\/(d*d*((d*d*((d\/((d*(d*d*d**(1\/3)\/d*d*d)\/d*d)\/d))\/d)\/d)\/d)\/d*d)*d)*d))) assuming d is positive.\nAnswer: d**(797\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143180529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 bigger than 1283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4971888 by -1657296.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 652.068 minutes?\nAnswer: 39124.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2099 + -16789\/8. Let z = -2 + -1. Which is the nearest to z? (a) t (b) 4\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 6 = 4*k, 6*c + 9 = 9*c + 3*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 467 + 39b?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v + 5*v - v)*(2 + 6 - 3)*(3 - 6 - 1)*(0*v**3 + 4*v**3 - v**3) as d*v + t*v**2 + r + s*v**3 + c*v**4 and give c.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 222*u + 7. Is p(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -3*n**2 - n - 13. Let k be c(-1). Suppose -j = -o - 1 + 4, -k*j = 2*o + 8. Sort 1, 0, j in decreasing order.\nAnswer: 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48202, -96090, -143978, -191866, -239754?\nAnswer: -287642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - 4*(sqrt(209)*-2 - sqrt(209)) - sqrt(209))\/(sqrt(11) - (sqrt(66)*-1)\/sqrt(6)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**6\/60 - x**5\/12 + x**4\/8 + 7*x**3\/6 + x**2 - 6. Give d(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174*y + 481 + 148*y + 61*y wrt y?\nAnswer: 383","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*a + 84*a - h = -292, 0 = -2*a - h + 584. Is 291 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17619 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2, -0.11, -24, -7, 31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 20. Let p = -17 - -20. Let u(l) = -l**3 + 6*l**2 - 4*l. Let x be u(5). Solve o + p*v = -o + x, -v = q*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.015 and 0.1.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 0*b - 4 + b - 1 + 3 + 2*b**2. Let u be y(-2). Suppose 0 = -u*f - f. Solve 5*r = -0*r - 25, f = -4*p + 2*r - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(sqrt(156) + sqrt(156)*2)*-2)\/(6*2*sqrt(300)*-3).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 z when three letters picked without replacement from fozscvzvcfzvcsvsz.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 147995.8 to the nearest one hundred.\nAnswer: 148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*i**5 - 204*i wrt i?\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l - 4*d + d, 2*l - 20 = -4*d. Suppose -3*b + 4*r - 12 = 0, -4*r = 5*b - l*r + 20. Is (-2)\/b*2 - -9 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590294203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(70\/(-63)) - (-8 - -10)*1. Solve -5*c - 10 = 5*o, -44*o = 4*c - 45*o - i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -33*u**3 - 3*u - 4. Let l(j) = -65*j**3 - 5*j - 7. Suppose 5*s - 401 = 19*s - 443. Determine s*l(m) - 5*c(m).\nAnswer: -30*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(27\/(-162))\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3525*((-332)\/(-6) + -2). What is v rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 316 - 314. Suppose 5*f = 5*l + 5520, 0*l = -f - t*l + 1098. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 2, -54, -1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.5 - 121.5. Let p = q - -93.8. Let z = 2 + -4. What is the closest to -0.2 in p, z, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 1005.3?\nAnswer: 10.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/3 + 4*d**2 + 2*d - 2. Let m(x) = -152*x - 5177. Let q be m(-34). Calculate r(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.28 + 100898.\nAnswer: 100888.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 12 + -3 + -2. Suppose 4*q = 3*p + 67, 0 = -i*q - p - 4*p + 59. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1 = -5*q + 21, -2*g = q - 14. Let k = -6 + 21. Suppose -10*o - 50 = -k*o. What is the remainder when o is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - j**2 + 204. Let y be a(0). What is the hundreds digit of 0\/(-10) + y*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 3*c**5\/40 - 11*c**4\/24 - c**3\/3 - 16. Let b(t) be the third derivative of u(t). Does 7 divide b(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/2921?\nAnswer: 2\/2921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24416 and 11217190?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*w = -15, 3*o + 11 = 5*w + 16. Solve o*x - 8 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 50*p + 1. Let q(k) = -10*k. Let m(r) = 11*q(r) + 2*v(r). Let s be (1*10)\/(-2)*(-3)\/5 + -5. Determine m(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -30 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 11*y + 41*y + 100 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765 - u**3 + 765.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/10 - 3039*i**2\/10 - 3078507*i\/10 - 1039509197\/10.\nAnswer: -(i + 1013)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 3*p + 3*p)*(-2*p**3 - 4*p**3 + 2*p**3) + 0*p**5 + 10*p**5 - p**5.\nAnswer: 21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 4*w - 3*o, 6*o = 5*w + 5*o - 88. Suppose 5 = 3*k + 38. Let n = w + k. Calculate the remainder when 35 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 - 298 = -h - 5*o, -3*h + 5*o = -1279. Let l = h - -37. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.11, 590470, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 - -114. Let a = 226 - x. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/45990 and -115\/64386.\nAnswer: 321930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76647 is divided by 3816.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14394 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0302694 - 4443?\nAnswer: -4443.0302694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen quarters of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030409 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 14*x**2 - 6*x - 20. Let v be (-21)\/((-7)\/((-42)\/9)). What are the prime factors of y(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11927 - -11396. What is the third biggest value in l, 7, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 437821296 to the nearest integer?\nAnswer: 20924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18 - 27 = 0. Calculate the common denominator of -79\/2 and (-6)\/k - (-897)\/(-144).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 51, 60, 59, 48, 27?\n\"Answer: -5*w**2 + 34*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 190534 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 56 + -48 + -1 + -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2048, -6634, -14268, -24950, -38680, -55458, -75284?\nAnswer: -98158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36 - 3.64. Let v = -3 + 3.02. Sort -5, v, h in increasing order.\nAnswer: -5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60125.81l in millilitres?\nAnswer: 60125810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2888616 to the nearest integer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(((-2)\/10)\/(152\/(-95)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 1, k: 2, i: 2, h: 2, u: 1}. What is prob of sequence tu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 14*r**2 - 83187*r + 1081267. Give m(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.71 + -0.29. Let s = 4\/23 + -5\/161. Which is the closest to u? (a) s (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 15. Let o be 16\/z - (-10)\/25. Suppose o*u = -m - 3, 0 = -4*u - 0*m + 4*m + 24. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 36*d + 798. Give u(-52).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g + 211. Let o(b) = -25*b + 457. Let f(i) = 5*k(i) - 2*o(i). Give f(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q + 12*q - q - 3*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9120 and 27277312?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.079564*-1.71\nAnswer: 0.13605444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -20*t - 2640. Let o be r(-140). What is the highest common factor of 7264 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*j + 1408*j - 3168*j + 1653*j - 2.\nAnswer: 788*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27*5\/(-225))\/(8\/(-16))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -34*s + 1195. What is the remainder when 228 is divided by n(34)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65\/20 + (-1)\/4. Let k = -3 - -7. Let d = -7 + k. What is the biggest value in v, -4, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**8\/336 + g**7\/105 + g**6\/120 - 24*g**2. Factor d(c).\nAnswer: c**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197 - 195. Find the second derivative of 194*v + 57*v**2 + m - 197*v + 2 - 1 wrt v.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2999, -6027, -9111, -12245, -15423, -18639, -21887?\n\"Answer: m**3 - 34*m**2 - 2933*m - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 84*w**2 + 258*w - 25376. What is m(-90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 442371.15?\nAnswer: 221185.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 4*i**3 - 2*i**3)*(5 - 3 - 3)*(6*i + 11 - 5*i + 2*i)*(3 - 3 - i).\nAnswer: 9*i**5 + 33*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*w + m + 24, w + m = 0. What is the units digit of ((-4)\/w)\/((-4)\/48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20849618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79.2 + -98. Let p = 0.25 - -18.75. Let l = p + j. Is l > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16818100 rounded to the nearest 10000?\nAnswer: -16820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132.1 + 140.07. Let v = a - 8. Let k = 9\/5 + -41\/20. Which is greater: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 times -119?\nAnswer: -30.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 21 = 28*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1 (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2297, 10342, 18387?\nAnswer: 26432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j**2 + j**2 + 2*j**2)*(-12*j - 2*j + 15*j - 28) in the form p*j**3 + k + g*j**2 + m*j and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 321001 (base 5) to base 10\nAnswer: 10751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrsrnssrrnssnksks. What is prob of sequence rr?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13014030 (base 5) to base 11\nAnswer: -86853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22121 - 1210200?\nAnswer: -1111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/15 - 309992012*o\/15 + 12011880937976018\/15 = 0. Calculate o.\nAnswer: 77498003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210002 (base 3) in base 9?\nAnswer: -1702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 6)*(-19 - -20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-14))\/(65\/(-91)))\/(7\/5).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 946658552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/140 and -97\/8.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*d + 145*d = 38*d - 2104 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 4*o + 4. Let l be x(-5). Let b = l + 6. What is the remainder when 16 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10314022443 + 1?\nAnswer: 10314022444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12200 + -10110102?\nAnswer: -10020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 68644*d**2 + 19912*d + 1444 = 0.\nAnswer: -19\/131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124237 (base 8) to base 11.\nAnswer: -2a483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.467, 592, 36, 0.3, -4\/3 in decreasing order.\nAnswer: 592, 36, 0.3, -0.467, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 200221 a multiple of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 12976 (c) 3806 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)\/(w**(-1\/2)\/w*w))\/((w\/(w*w**1*w)*w)\/w)**18 assuming w is positive.\nAnswer: w**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 24, 3, 208, 4 in descending order.\nAnswer: 208, 24, 7, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + -222. Calculate the remainder when 98 is divided by 448\/9 - 32\/b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 7. Let h be t(8). Suppose -h*f + 40 = -7*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 49*o**6\/6 - o**3\/6 - 11*o**2 - 121*o. Find the second derivative of w(b) wrt b.\nAnswer: 2940*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3.5, 0.1, -956?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 133\/9 - (-12)\/54. Let g be ((-1)\/l)\/(1\/3). Let p be (-4)\/3*(-1 - -2). Which is the second smallest value? (a) g (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 + 1769\/87 + (-235762)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7196 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p - 2. Let s be i(-2). Let o = s + -14. Factor -2*x + 0*x**3 + 2*x**3 + o - 2*x**3 + 2*x**3 - 2*x**2.\nAnswer: 2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 32.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 - 35. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2328\/95 + -122\/5. What is the fourth smallest value in 1, -2, 0.8, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 43. Let d be x\/(-5) + (-3)\/(-1). Suppose 0 = -3*h - 2 - 4. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t**(1\/5)\/t)*t*t*((t*t**(1\/4))\/t)\/t*t)**(-2\/29)\/((t**(-1\/4)*t)**13*t**5\/(((t\/(t\/((t\/t**1*t)\/t)))\/t)\/t)) assuming t is positive.\nAnswer: t**(-9917\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - h**3 + 5*h - h - 7 - 2*h to the form d*h**2 + j*h**3 + w*h + b and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_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: 0.07563709241902 + -2\nAnswer: -1.92436290758098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2. Let z(c) be the third derivative of 0*c - 13\/60*c**5 + 0*c**4 + 0*c**3 + 0 - 15*c**2. Give m(z(t)).\nAnswer: -169*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 9*z**2 + 6*z + 4. Give p(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -73, -1\/6, -0.3 in ascending order.\nAnswer: -73, -5, -0.3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92414246 is divided by 15402374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 9\/5, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, -0.326.\nAnswer: -0.326, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 5 = -17. Suppose 0 = -5*h + 4*d + 18, 0 = r*h - 10*d + 12*d. Sort h, 4, 5, -3 in decreasing order.\nAnswer: 5, 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = 4. Suppose 3*u - v = 4*u + 4*d, 4*d = 3*u + 57. Do -15 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 66 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 47*u**2 + 344*u + 14787. Let t(f) = 28*f**2 + 172*f + 7393. Let p(h) = 3*k(h) - 5*t(h). Find a such that p(a) = 0.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*k + 2*u, -5 = -k + 12*u - 2. Let i(b) = -105*b - 25. Let l(a) = 1 - 6*a - 7*a - 5 + 1. Give k*i(d) - 25*l(d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(3 - 111\/2)\/6. Suppose -187 = -4*y - k, 3*y + k - 106 = z. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1177 and -1.2.\nAnswer: -1412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20121100211 (base 3) to base 4.\nAnswer: 133233223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7792812l in millilitres?\nAnswer: 779.2812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/3 + 17*c**2\/3 + 91*c\/3 + 49 = 0?\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 16*s - 89, -s = 12*r - 7*r - 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*k + 3*k + 0*k)*(41 - 152 - 36) in the form m*k + z and give m.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 6*x = 3*v - 85, 3*v - 136 = 10*x - 18*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from nqqfqqvfnsxf?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19890.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjgjgjjxccjcjgjg. Give prob of sequence gjg.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/24 and 8\/(-22)*(-2562)\/2352.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.64 - 0.06. Let o = d + 4. What is o rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 78\/585 - 1913390\/(-75). Calculate the greatest common factor of 48 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 1:12 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -523.80984 + 0.00984. Let w = p - -488. Round w to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 2\/1475, 0.3?\nAnswer: 2\/1475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489 (base 10) to base 6.\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211 - (-7 + (5 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (492\/(-45) - 10\/15) + 30\/(-75).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -17*j + 11. Let y(q) = -9*q + 6. Determine 6*d(c) - 11*y(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -24. Let a(t) = t**2 + 3*t - 6. Let x be a(-5). Suppose 5 = x*s - 9*s, -5*s = 3*z - 19. Solve -4*v - z - 4 = n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373 = 7*z - 215. Let i = 83 - z. Put i, 0, -4 in descending order.\nAnswer: 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 8:40 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) + (-15964)\/(-182). Suppose 28 = 4*z - 4*p, -5*z + p = 4*p - 67. Calculate the greatest common factor of l and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -458, 5 in increasing order.\nAnswer: -458, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*2 - sqrt(112))\/sqrt(2))\/(sqrt(968)*3).\nAnswer: sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l + 8 = 0. Suppose l*z - 35 - 29 = 0. Suppose -20*m + 8 = -z*m. Solve 0 = 3*b - m*p + 7, 2*p + 2*p - 6 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8060 - -8444. What is the remainder when l is divided by 197?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8711\/9372 - 23\/284. Let u = 2921\/330 + d. What is the common denominator of u and -53\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153*(-2)\/(-2)*3\/(-3))\/(2583\/(-861))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 26?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 50*s - 114. What is j(48)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/35 (b) -14 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*g + 364*g + 2*r + 3 = 0, -4*g - 4*r - 8 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:26 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 569*l - 575. Give r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 555245 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 88 = 0. Suppose -12*q + 8*q = -y. Suppose 3*t - x = 14 + 18, -q = -3*t - x. Solve 2*f = -m, 4*m + 2*f = 3*f - t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19668*l**2 - 19668*l**2 + 24391*l**3.\nAnswer: 24391*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4985, 4, -3\/10, -0.2, 1 in increasing order.\nAnswer: -4985, -3\/10, -0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14922*p**3*v**2 + 2296*p**3*v - 2*p**3 wrt v?\nAnswer: -29844*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4904\/2489 or -1?\nAnswer: -4904\/2489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**1)**(-29)*l*(((l*l\/(l**4*l*l))\/l)\/l*l*l)\/l*l*(l*(l\/l**(2\/9))\/l)\/l)**29)**30 assuming l is positive.\nAnswer: l**(-84100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10661 (base 7) to base 5.\nAnswer: -41423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -9*y - 8. Let d(w) = 3*w + 3. What is -11*d(g) - 4*p(g)?\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27083\/5 + -5417. Which is the closest to 0.04? (a) 5\/6 (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j. Let k(p) = 4*p**4 - 8*p**3 + 264*p. Let o(w) = k(w) - q(w). Find the second derivative of o(c) wrt c.\nAnswer: 48*c**2 - 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23579167*r**3 + 382075112*r wrt r?\nAnswer: 141475002*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -5. Sort 12, -2, 0, y in decreasing order.\nAnswer: 12, 0, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 32. Let h be (-9)\/m*(20 + -2 + 2). Factor h*s**3 - 24*s**3 - 5*s**4 - 20*s**2 - 8*s**3.\nAnswer: -5*s**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 5:15 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/169, -1\/3, -2\/5, 5, -9.1?\nAnswer: -9.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 241 = 5*y. Let x = y - -243. Solve -x*r - 2*z = -8, z + 11 = 3*r + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/28*(-18)\/30*12\/3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q - 44. Give s(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 46 - 6. Let k be 0\/(3 + -4) - f. Suppose -r = 4*j - 45, -j + k + 12 = 2*r. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 31709*z**3 + 3 - 24 - 22.\nAnswer: 31709*z**3 - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1\/3, -1\/2, -198, 3\/7, 2\/21, -12?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -18 - (-5 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8808*v - 19846. Calculate j(3).\nAnswer: 6578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116*q + 116*q + 177*q**2)*(2 - 2 + 2*q)*(-2*q - q + q).\nAnswer: -708*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789361 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1036094 to the nearest one thousand.\nAnswer: -1036000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67526.13 decades?\nAnswer: 8103135.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305 - 316 + 275*w + 621.\nAnswer: 275*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -7*p + 9. Put -2, 21, 5, p in descending order.\nAnswer: 21, 5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3595664 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(3*h - h - 20*h)*(-9 + 18 + 17).\nAnswer: -1404*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*r + 3*v - 5, 2*v = r + 10. Let x(h) = -9*h. Does 12 divide x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63c - 4e8d?\nAnswer: -54c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15344194.\nAnswer: 2, 31, 379, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 6*r**2 + 8*r + 10. Suppose -7*l = -8*l - 7. Let u be d(l). Suppose u*s = 15 + 144. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 0 + 16\/3*t + 28\/3*t**2 - 4\/3*t**4 + 8\/3*t**3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*f - 176*f = 65*f + 434*f - 39522 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 5*p - 2. Let f be c(-4). Suppose -f = 5*x - 12. Suppose y + x*y - 18 = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4660 divided by -4\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-6)\/(-27))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 - 15*t**2 + t**3 + 4*t**2 + 5*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**5 - 6957*d**4 + 147402*d**3 - 45732*d**2 - 8455608*d - 8255520 = 0.\nAnswer: -2340, -6, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 6)*(-1 + -1). Suppose -4*a + 0*a - i = 0. What is the nearest to 1 in a, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -125.\nAnswer: -124.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76, -80, -96, -130, -188, -276, -400?\n\"Answer: -v**3 + 3*v - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 6)*(191*h - 175*h + 274*h) as z*h + x and give z.\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(2448) + 1 + sqrt(2448)) - (2 + 0 + sqrt(2448))) + ((sqrt(1377) + -1 + sqrt(1377))*-1 - ((0 + sqrt(1377))*-5 - sqrt(1377))) + 1)**2*-1.\nAnswer: -479844 - 2016*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 6\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + g**2 - g + 6. Determine b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 432*u = -431*u + 5, 3 = -u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/974208 and 101\/11352?\nAnswer: 10716288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*v**3 - 4*v**2 + 2*v**3 + 4*v**2.\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6155 - 2362. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 7. Let l be ((-4)\/6)\/((-8)\/36). Let a be g(l). Determine d, given that -a*d**4 - 2*d**2 - 3*d**3 - d**5 + 3*d**2 + 0*d**5 + 7*d**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224876087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 100, 92, 80?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-86)\/(-42) - 2) + 57\/(-171). Sort 5, l, 9.\nAnswer: l, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 11:45 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 502 (base 6) to base 5\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((21\/(-84))\/((-12)\/(-16)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -9*o + 35. Suppose 0 = -10*f + o*f + 45. Suppose -4*w - 40 = -f*w. Calculate the highest common factor of w and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926588 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: Calculate the remainder when 65623 is divided by 581.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 21, -0.7.\nAnswer: -0.7, -0.1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 58646711.3 and 0.2042?\nAnswer: 58646711.0958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/148 + -73\/148. Let k = -81 - -43. Let d = 116\/3 + k. What is the third biggest value in 0.2, d, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 19*z + 9. What is the lowest common multiple of f(19) and 35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhkfmjh. Give prob of sequence fh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 29. Let h be j(34). What is the biggest value in -26, h, -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - 14 + 3*a**2 + 17 - a + (2*a + 0*a + a)*(-2*a + 0*a + 0*a).\nAnswer: -3*a**2 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, y: 1, a: 9}. What is prob of picking 3 a?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.65 in -19\/3, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + d**5)*(0 - 3 + 2 + 1 - 1 - 2 + (2 - 2 + 1)*(-2 - 1 + 2) + 5 + 0 - 3 - 6 + 3 + 1)*(-4 + 1 + 2)*(-326 - 293 + 838).\nAnswer: 876*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:35 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 5*w - 5, 12167 = 4*j + 5*w + 12126 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 8 = 0. Suppose -3*d - 2*c = t*d - 7, 3*d = -2*c + 1. What is the second derivative of -5*a**3 + a + 4*a**d + a wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(208))**2 + ((sqrt(208) - sqrt(208)*1)*1)**2 + -3)*4.\nAnswer: -384*sqrt(13) + 2676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1471)\/(-2) - (0 - 4)\/(-8). Suppose -43*f + 641 = -n. Calculate the remainder when 106 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + 12. What is the greatest common divisor of i and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 - 2*y - 3. Is n(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 1094 + 3807 = 0. What are the prime factors of o?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 194. Give g(-24).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 43. Let a(n) = 17*n**2 - 3*n - 1. Let t be a(3). What is the greatest common factor of t and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29506*j**3 + 14777*j**3 + 14747*j**3.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 599*t + 105572. What is q(-424)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 12*t + 1. Let o be d(-12). Suppose -2*v - 9 = v, -5*v - 13 = y. Which is greater: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z**0*z)\/z))**48*((z\/z**(-5))\/z)\/((z*z**6)\/z) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*z**2 - 131 + 181*z**2 - 2*z - 68*z**2 to i*z + g + c*z**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-117)\/13 + 8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6932671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4305 + 4487. What is the highest common factor of 350 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + 136*f**2 + 2305*f + 36. Determine m(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 5. Let s(i) = -i + 18. Let l be s(12). Suppose -l*g + 13 = 1. What is the remainder when f(5) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 327 divide 42183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2047 and 712?\nAnswer: 16376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-9)\/(-18) - (-1)\/2). What is the closest to 2\/5 in -18, -0.07, p?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46366568 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*k + k. Let n be k\/(-8) + 17\/(-4). Let i be 2 + n + (-44)\/(-14). Put i, 5, -3\/5 in decreasing order.\nAnswer: 5, i, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 146 - 28 = 3*m, -h + 30 = -3*m. Calculate the least common multiple of 36\/(-126) + 88\/14 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4142222?\nAnswer: 2, 7, 295873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -65 + 33 + -70 + 23\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 18*w - 22*w. Suppose 0 = 3*r + 3*k - 6, 0*r + 3*r - 6 = 4*k. Sort 1, r, w in decreasing order.\nAnswer: w, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h - 12. Let z be (-20)\/(-40)*1\/(1\/4). Let u be d(z). Solve 8*t = t - u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3989625 to the power of 1\/2, to the nearest integer?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*l + 25, 5*l - 4 = -4*f + l. Suppose -f = 2*r - 19. What is the least common multiple of r and (-6)\/27*(-30)\/20*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 11031.5?\nAnswer: -10993.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332313112 (base 4) to base 10.\nAnswer: 519638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19736 is divided by 291?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -39*n. Let i(s) be the first derivative of -10*s**2 + 597. Determine -6*f(h) + 13*i(h).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*d**4 - 154913*d**3 + 11527916*d**2.\nAnswer: -1128*d - 929478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50882 - 128888. Let r be y\/(2\/(-1)) - 3. Suppose 3*m + 2*m + r = 0. Round m to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:22 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1307*c - 1339*c + 64 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-26)\/(-351))\/(2\/12) + 496\/18. Suppose v - 5*b - 10 = 0, 5*v - 3*v - 4*b - 8 = 0. Solve v = 5*t + 2*j + 30, 2*t - j + c = -5*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132551 - -2102?\nAnswer: -130446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165321745, -165321742, -165321739, -165321736, -165321733, -165321730?\nAnswer: -165321727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/((-152)\/6))\/(11\/8).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 3, 127, 5.\nAnswer: 0, 3, 5, 8, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -115612.\nAnswer: 5\/115612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2133 + -2135. Let l = -5609 + 5569.03. Let h = l + -0.03. Which is the second biggest value? (a) h (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 9 = 1. Let u be k*(15*-3)\/(-1). Let i be (-10)\/u + (-106)\/(-9). Solve i = 4*o + 5*v, 0 = -3*o + 8*o + 2*v + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3 - 0. Let p(l) be the first derivative of -l**5\/60 + l**4\/6 + l**3\/6 - 5*l**2 + 4. Let s(b) be the second derivative of p(b). Give s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2095 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*s + 55, -2*r - 34 = 3*s - 5*s. Suppose -l - 4*w + s = 0, -3*l + w - 9 = -7*l. Let t(v) = 81*v. What is the units digit of t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 4*h**2 - 2*h - 6. Let f be t(-4). Suppose -2*k - f = -0*k. Let b(g) = g**3 + 2*g + 1. Let j be b(-1). Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**2)**(-1\/28)\/(y*y*y**(-1\/3))**(-27\/4) assuming y is positive.\nAnswer: y**(311\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - x = -234 - 19, 0 = 4*a - 3*x - 333. Let m = a + 213. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (30\/12)\/(2\/4). Suppose 0 = 2*s + 2*y - 62, -4*s + h*y = -0*y - 169. Let o be s\/165 + (-4)\/10. Which is the biggest value? (a) 5 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -595 - -573. Let b(r) = -r**2 - 24*r - 43. Calculate b(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r**2 - 198*r + 2022. Give n(10).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.9 - -1. Let d = 2298 - 2307.33. Let h = d - r. What is h rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 6}. Give prob of picking 2 l.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88536 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7*n = 10*n - 106, 4*n = -3*l + 161. What are the prime factors of l?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 6:01 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27002 - 27003. Which is the biggest value? (a) -3\/4 (b) 0.5 (c) 3 (d) 38 (e) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/3199752 and 29\/2280.\nAnswer: 15998760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Let n be z(-4). Let v be (-1)\/(-2) + 18\/n. Let c(o) = -4894*o + 4897. Let b be c(1). Sort b, 4, v, -4.\nAnswer: -4, b, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 787*n - 1175720.\nAnswer: (n - 1547)*(n + 760)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, w: 2, s: 2, a: 1, u: 1, k: 1}. Give prob of sequence wlu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + 27 - 11 - -11429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 0, 10, 24, 42?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:33 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46353, 46325, 46297, 46269, 46241?\nAnswer: 46213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008195 is divided by 50404?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r + 55. What are the prime factors of a(-27)?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/26 in -0.2, 2602, -3.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*q = 113*q - 188. Calculate the remainder when q is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.074 + -9.126. Let q = i + 10. Let b = -3.7 + q. Round b to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97992001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -70*z - 189. Calculate h(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Differentiate 5 + 8*d + d - v*d wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -13*c**2\/2 + 117. Let z(r) = 7*r - 2*r + 5*r - 2*r. What is z(t(p))?\nAnswer: -104*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.5 + 40.5. Let n = 7.08 + -7. Let v = 4.92 + n. What is the third biggest value in v, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 12*f + 48. What is the hundreds digit of u(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24919?\nAnswer: 24919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381 divided by 7083.\nAnswer: 127\/2361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, -27, -89, -195, -357, -587?\n\"Answer: -2*r**3 - 4*r**2 - 4*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.84 - -0.54. Let g = l - -1. Let i = 0.24 - -0.06. Which is the closest to i? (a) 0.5 (b) 3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2449 + -272.8449. Round l to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.458*-24.\nAnswer: -10.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 680 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -2434021?\nAnswer: -2434031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (-41 - -117 - 33).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -43, -51, -61, -73, -87?\n\"Answer: -f**2 - 3*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166768 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5757 - 5919. Is t at least -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 355 - 4612\/13. Let x = 7692\/5 + -99942\/65. Let a = x - b. Which is greater: a or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.07 - -0.33. Let z = -10.9 + w. Which is the second biggest value? (a) 4 (b) 3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 3)*(-2)\/(-4). Factor -a**3 + 3*a + a**y + 2*a - 5*a.\nAnswer: -a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1553\/10 - 709\/5. Let z = -49\/6 + b. Factor 1\/3*o**5 + z*o + 40\/3*o**2 + 11*o**3 + 0 + 10\/3*o**4.\nAnswer: o*(o + 1)**2*(o + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1141*c - 232*c - 88*c - 1 - 2*c + 1 + (-1 + 0 - 1)*(3*c - 3*c + c) - 3*c + c + 0*c.\nAnswer: -1467*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 + 56*g - 17. Let j be n(-16). Let r be -12*(j\/12 + 1). Let v = 3684 - r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4685803 is divided by 1968.\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n + 61. Let j(x) = 3*x - 54. Let l(r) = 6*j(r) + 5*k(r). What is l(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18014836 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 767*-24.09\nAnswer: -18477.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25.7, -2.3, -0.1, 0.4, 6 in decreasing order.\nAnswer: 25.7, 6, 0.4, -0.1, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1449 + -1423. Let h(u) = 3*u + 3. Let c(j) = j. Let v(l) = 5*c(l) - h(l). Calculate the remainder when k is divided by v(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 9*w**2 + 9*w - 6. Let n = 46 - 38. Calculate g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155151 (base 8) in base 10?\nAnswer: -55913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*w**4 + 8163718*w**3 + 1717037*w - 25 wrt w.\nAnswer: -180*w**2 + 48982308*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 + 20*v - 3. Let i(a) = a**2 - 7*a + 1. Let m(s) = -6*g(s) - 17*i(s). Let p(f) = 2*f**2 + 8*f - 6. Calculate -6*m(q) - p(q).\nAnswer: -8*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -270 + 914. Suppose -5*t + 3*l + d = -0*t, -2*l + 629 = 5*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/10)\/(30\/225). What are the prime factors of 4*15\/(-40)*1784\/r?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165 is divided by 250?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 17*y - 8. Let s be k(-9). What is the closest to 0.1 in -1\/5, s, -3\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41273 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: Sum 0.09136 and -0.4.\nAnswer: -0.30864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(3 - (-34)\/(-12)). Suppose -n + 3*n - 3*h - 7 = 0, -m*n - 3*h + 3 = 0. Solve -2*p - x - 4 - 4 = 0, 8 = -n*p + 5*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 divided by -3.\nAnswer: 107\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 45352*h + 18332409\/4.\nAnswer: -(h - 181509)*(h + 101)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 less than or equal to 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -9. Solve 3*c + 15 = -p + l, -c - 1 = 4*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/40120304 and 115\/110330836.\nAnswer: 441323344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.246 (b) -2\/3269 (c) -3\/2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1791 + 1791 + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 2. Let v(z) = -z + 1. Calculate 4*c(y) - 7*v(y).\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 3112668?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 161.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(228) - (-2*sqrt(228)*-4 + sqrt(228)))\/(sqrt(192) - (sqrt(192)*3 + sqrt(192) + sqrt(192))))**2.\nAnswer: 95\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64.4 or -0.4?\nAnswer: 64.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 2*u - 2*u)*(0 + 5*u + 0)*((3*u**2 - 3*u**2 - u**2)*(-1 + 4 - 4) + 2*u**2 + 0 + 0).\nAnswer: 30*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150249 is divided by 49142.\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 11:21 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.1 less than 9452.2?\nAnswer: 9500.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-10.8926.\nAnswer: 21.7852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252 - 243. Suppose r*n - 2 = 7*n - 5*l, 2*l - 2 = -n. Suppose b + 9 - 20 = 0. What is the least common multiple of b and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -302*v + 4832. Let x be b(16). Is x at least -4\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - -1)*(-58)\/4. What is the units digit of 4\/(t\/18 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:40 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3\/2 - 44830*j**2 - 89665*j\/2.\nAnswer: 5*j*(j - 17933)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-553)\/3)\/((-14)\/(-28) - 11\/18)?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) -1\/5 (c) -28049\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*h + 30 = -178, -48 = -r - 2*h. Suppose 3*q - r = -q. Suppose 0 = 2*y + q, -2*d + 4*y + 318 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.62565684 to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2589 = 55*n + 128*n - 1071 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let z(f) be the third derivative of -f**4\/24 + 3*f**3\/2 + 4*f**2. Let j be z(6). Let a(k) = j*k + k + k - 6*k. Calculate a(r(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4723 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*p**2 + 7*n**3*p - n**2*p + 39*n*p**2 - n wrt n?\nAnswer: 6*p**2 + 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180850937.\nAnswer: 89, 307, 6619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666*k + 347*k - 1 + 652*k - 1721*k.\nAnswer: -56*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -17*b**4\/4 - b**2 + 5. Find the second derivative of p(o) wrt o.\nAnswer: -102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 16 = 2*i. Suppose -i*m = 5*y - 29, 0*m + 2*m - 17 = -5*y. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/427 (b) -0.3 (c) -0.1 (d) 2\/13 (e) -1 (f) -12\/497\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 2*r**2 - 5*r)*(-r + 7*r - r - 1).\nAnswer: -10*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by -15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 3*x + 3*x)*(-1 + 1 - 1) + 5*x - 4*x + 0*x + 3913 + 10109*x - 5052*x - 12078 - 5054*x to s + v*x and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpxpxxppppxpppxpxpxp. Give prob of sequence zxpx.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455?\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22504297783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3247 + 9692 - 3237 + 30*m**3 - 3210.\nAnswer: 30*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 0.4 (c) -75.8 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -4 + 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86437 - 51906. What is x rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 3*s**2 - 5*s - 4. Calculate j(-6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 5*t - 3. Let m be p(6). Suppose 3*l + m = 0, -2*l = y + 2*l + 2. Let j be (-3 + y)\/(1\/(-9)). Solve j = 5*g - 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 6. Let j(p) be the third derivative of 1\/4*p**4 - 1\/6*p**3 + 1\/15*p**5 - 1\/120*p**6 + 0*p + 0 - p**2. Give j(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88829860 divided by -4\nAnswer: -22207465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6463*c - 278090 = -93411 + 325898 for c.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*(3*(sqrt(5) + (sqrt(20) + 1 - sqrt(20))) - ((sqrt(35)\/sqrt(112) - sqrt(5)) + -3 + 2*sqrt(5))))**2.\nAnswer: 56*sqrt(5) + 501\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 652? (a) 5 (b) -2 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -2*v**3\/3 + v + 12. Let m(k) = -k. What is d(m(s))?\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 12070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.093997499 rounded to 3 decimal places?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, -3, 11607.\nAnswer: -3, 126, 11607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11707226 (base 8) in base 10?\nAnswer: 2592406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -7. Let q = -14 + u. Solve q = 2*n + 2*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**2 + 2289846*h - 6869511 = 0.\nAnswer: 3, 763279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {l: 1, e: 4, c: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 1. Let j(n) = -n**2 - 5*n - 2. Let f be j(-5). Let c(h) = 1. Let i(l) = -l**2 - 5*l - 3. Let t be i(-5). What is f*s(a) + t*c(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000066720335 rounded to 7 dps?\nAnswer: -0.0000667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*w = 0, -40 = 5*l + 6*w - w. Let d be l + -1*((-2 - 0) + 3). Let j(x) = -x - 7. Give j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, -29, -395, -979, -1823, -2969, -4459?\nAnswer: -6335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.13 (b) 14\/25 (c) 14 (d) -0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -104148498?\nAnswer: -31244549.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*x**2 - 983*x + 31*x**3 + 1971*x - 990*x in the form z*x + h + k*x**3 + f*x**2 and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 583471045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 - 51 + 115 = 62*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35432.07 + 35432. Sort o, 0.3, -0.005 in descending order.\nAnswer: 0.3, -0.005, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 183*i**2 - 91*i - 2570. What is t(60)?\nAnswer: 2770","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31134667*s**3 + 25172029*s**2 wrt s?\nAnswer: 186808002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6150 and 18785?\nAnswer: 23105550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -405, -855, -1305, -1755, -2205?\n\"Answer: -450*j + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 6*r - 48. Let f be 10\/4*r\/10. What is the second derivative of -5*w**4 - w + w**f + 4*w**4 + 2*w**5 wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -599*s**2 + 38*s**2 - 90*s**2 as b*s + n*s**2 + d and give n.\nAnswer: -651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/2, -8, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43720?\nAnswer: 2, 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, 1\/2, 14533.781?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 675228 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -356 from -7203.723907.\nAnswer: -6847.723907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -2, -1\/5, -6, -15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -139, -276, -413, -550, -687?\n\"Answer: -137*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.86, 0.7, 0.3?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -18. Let h be x + -15 + (2 - 4). Is h bigger than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a hour?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -814.24 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/6320*-79)\/(14\/440)?\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4907291, -4907386, -4907481, -4907576?\nAnswer: -4907671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001185 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*q, n - q + 9 = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + o**2 - 3*o. Let k(n) = -n**2 + n. Suppose 0 - 16 = -2*f. Let i = -9 + f. What is i*z(y) - 2*k(y)?\nAnswer: -y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 644*u + 3 - 1.\nAnswer: -644*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46491?\nAnswer: 3, 15497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 115, 452, 1017, 1810, 2831, 4080?\n\"Answer: 114*u**2 - 5*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/80769 and -83\/21.\nAnswer: 565383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29609 is divided by 29598?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7522309 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = 4*p + 50, 4*m - 3*p = 76. Let r = m + -16. Let u be 1\/r + 2\/(-12). Solve -7*d + 3*d = u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.95107 months to centuries.\nAnswer: 0.052459225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 14*o = -1008. Calculate the least common multiple of o*(102\/(-12))\/(-17) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 h when four letters picked without replacement from khkkkkkkkkhqkkhk?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2216, 1\/2, 0.2 in decreasing order.\nAnswer: 1\/2, 0.2, -2216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*z - 4172 - 2296 = 186*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7192236 to the nearest integer?\nAnswer: 2682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2010 = 39*x + 11*x + 710 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 4*n - 1. Let g(t) = 6*t**2 + 21*t + 6. Let q(b) = -4*g(b) - 22*x(b). Let q(y) = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 4:32 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9 - 7 = 0, -4*s + o - 28 = 0. Let i be s\/44 - (-6635)\/11. Let p = i - 340. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6636767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 361 and 385313711.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 27704 and 3612.1.\nAnswer: 31316.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -65. Suppose 5*t + h = -j*h + 1015002, -5*t + 1015010 = 5*h. What is t rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.6 (b) 2\/29 (c) 99 (d) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 2, s: 2, y: 1, z: 1, w: 1}. What is prob of sequence sy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -56. Find the third derivative of 17*w**5 - 17*w**s - 34*w**2 + 61*w**2 - 28*w**2 wrt w.\nAnswer: 1020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**6\/120 + c**5\/20 - 5*c**4\/12 - 21*c**2 + 79. Let n(w) be the second derivative of g(w). Determine m so that n(m) = 0.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-y - 4*y + 6*y)*(4 - 5 + 0) + 4*y - 3*y - 2*y + 5*y - y - 3*y + 0*y + y - 2*y + y - 2 + 2)*(4 + 3 - 6)*(-2 - 3 - 3).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -449?\nAnswer: -2\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/270 and 37\/1055700.\nAnswer: 1055700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20670.347689 rounded to 0 decimal places?\nAnswer: 20670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.9*254.8\nAnswer: 484.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 43*o**2 - 262*o + 141. Give d(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 2849.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*r + 27 = -49, -3*j + 98 = -2*r. Let s = 30 - j. Let l(n) = -n - 8. Let f(p) = p + 9. Calculate s*f(x) - 5*l(x).\nAnswer: x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 at most as big as -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - 6*u**4 - 14 + 11*u**4 + 13 to f*u + b*u**3 + m + d*u**4 + t*u**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - c**5 - c**2 + 5*c**5 - c**5 - 2*c**5 + (c**4 + c**2 - c**2)*(3*c - 5*c + 3*c) - 2*c**5 + 4*c**5 - c**5 + 9*c**5 - 6*c**5 + 2*c**3 - c**2 + 0*c**2.\nAnswer: 6*c**5 + 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.058356 times -0.4\nAnswer: -0.0233424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 59 = -2*b, 18*b + 10864 = 2*i + 10784 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50032, 100064, 150096, 200128, 250160, 300192?\nAnswer: 350224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a day in minutes?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 3*h + 0*h)*(1 - 2 + 2) + 2 - 3 + 5*h + 2 as u*h + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 29. Let t = -34 + h. Calculate the common denominator of t and 95\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(-b - 11*b - b) + (11 + 8 - 30)*(-2 + 0 + b + 0) in the form u + o*b and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/13 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11254679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3038 - 6221*h + 3038 to the form k*h + y and give k.\nAnswer: -6221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5 + 5. Suppose -3*n - 13 = f. Put n, -3, 4 in ascending order.\nAnswer: n, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -4*k. Let o be 1 + 1\/k + 0. Suppose 2*h = -6 - o. Let p(z) = -3*z - 3. Determine p(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 1. Let g be k(2). Let u be (-3)\/12*(g + -25). Suppose 4*z - 131 + u = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6303206 and 4.\nAnswer: 12606412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 20 = 5*r, z + r - 3*r = 5. Let y be (z + -1)\/((-6)\/4). Suppose -402*i + 407*i - 22 = 8. Solve 3*c - 5*c + 2*f = -i, 4*c + y*f - 12 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y*y**1))\/y*y*y\/((y\/(y**10\/y))\/y))**(2\/27))**10)**(-2\/31) assuming y is positive.\nAnswer: y**(-320\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 1\/6*h**3 + 0*h**6 - 47\/24*h**4 - 169\/210*h**7 + 94*h**2 + 0*h + 0 + 0*h**5. Find the second derivative of k(y) wrt y.\nAnswer: -2028*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8144.5 - 8145. Which is the closest to -49? (a) -2\/11 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-14)\/(-6))\/((-140)\/(-105)))\/(1\/4). Solve 4*o = -5*t + h*o - 28, -5*t - 4*o - 21 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 8:51 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a + 45. Let t be o(7). Let r(g) = -10*g**2 + 13*g**2 + 6 - 2*g**2 - t + 8*g. Determine r(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4187660185 to 5 decimal places.\nAnswer: -0.41877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u + 1\/2*u**2 + 8 - 1\/2*u**4 + 2\/3*u**3. Determine t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (744\/25234)\/((-174)\/(-3219))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - -2*sqrt(5) - sqrt(5))*6)**2 + sqrt(320) + 0.\nAnswer: 8*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 16*u**2 + 30*u + 47. Suppose 11*i = -149 - 60. Is h(i) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200 (base 3) to base 16.\nAnswer: cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 7*t - 20)*(-11*t**2 + 28*t**2 - 18*t**2 - 4*t**3).\nAnswer: -28*t**4 - 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472992681 to the power of 1\/2, to the nearest integer?\nAnswer: 38380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {f: 3, n: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8739, 0 in increasing order.\nAnswer: -8739, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001021100 (base 3) to base 4.\nAnswer: -21311211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (56825\/20 - -6) + 5\/(-20) is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-2)*((-270)\/(-27) + -9). Solve -49*l + 45*l + 24 = c for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156.96 + 153.534. What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-6 + 2))*1. Let f(z) = -5 - 988*z + 21 + 485*z + 495*z. Let g(x) = 1. What is l*f(s) + 16*g(s)?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*x - 2)*(-44*x**3 + 8*x - 10*x - 22*x**3).\nAnswer: 132*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6008973 to the power of 1\/2, to the nearest integer?\nAnswer: 2451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 6758139*b + 40548843\/2.\nAnswer: -(b - 3)*(b + 13516281)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhanahnnmnaahhnz. What is prob of sequence hmh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjf when three letters picked without replacement from djdjjjdjdddfjrj.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9167*o**2 + 109*o + 45 wrt o.\nAnswer: -18334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 4:32 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*j + 96*j - 20852 + 6915 = 0 for j.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wfffwwfwwffwwwwwww?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 260777.9 years in decades?\nAnswer: 26077.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -518\/5, -3, 42.\nAnswer: -518\/5, -3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2577 - 2470. Calculate the remainder when y is divided by (-22 - -31) + (-4)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddfuywuwdfydfyfefwf. Give prob of sequence ydww.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22222555?\nAnswer: 5, 29, 153259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -479*x + 479*x + 30*x**2 + (x + 3 - 13 + 26)*(0*x - x - x).\nAnswer: 28*x**2 - 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -8, -98, 4\/25, 2\/15?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyqy when four letters picked without replacement from qqyqqyqqqq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -369.41 + 561. Let t = -190 + v. Round t to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91781, -183561, -275341, -367121, -458901, -550681?\nAnswer: -642461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 5:19 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 15528.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 41*s = -120. Let i(b) = -2*b**2 - 2*b - 1. Let c be i(-1). Let u(d) = 2*d**3 - 8*d**2 - 3*d - 9. Let a be u(4). Sort a, c, s, 3.\nAnswer: a, s, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:24 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -696 + 691. Let b be (-4)\/16 - (-2)\/(-24). Let k = -235 + 236. Put b, k, p, 3 in descending order.\nAnswer: 3, k, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*a = -12, 0*m + a = -2*m - 8. Which is greater: m or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8232 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077774883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 36*o**3 + 2*o**2 + o - 2. Give n(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*b**2 - 64*b\/3 - 1.\nAnswer: -(b + 3)*(21*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93824 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*d + 5613 + 85401. What are the prime factors of d?\nAnswer: 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1345*j - 73925. Calculate m(-55).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202520 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/484 and 7\/5869568.\nAnswer: 710217728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29292 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1062)\/(-3304)*-28)\/(-84)\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8188 is divided by 946?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.2, 0.6, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p + 60 = 3*a, -p - 4*a + 15 = 0. Suppose -p*o = -16*o + 3. Suppose -3*n - 2*n + o*t = -67, 0 = -3*n + 2*t + 41. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 35 = 107*x - 112*x, 3*x - 4*u = 18. Let z(o) = -6*o**2 + 57*o + 23. Calculate z(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1176 and -77\/402816.\nAnswer: 19737984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9)*d\/((d*d**20)\/d) assuming d is positive.\nAnswer: d**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 0*r - 93*r**3 - 278*r**3 - 6*r**2.\nAnswer: -371*r**3 - 6*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4))**(-8)\/((z\/(z\/((z\/(z**(-5\/7)*z))\/z*z)))\/(z**(4\/11)\/z*z*z)) assuming z is positive.\nAnswer: z**(-412\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 10*f + 76. Let g be (6\/4)\/(7*(-1)\/f). Solve -g*t - 12 = 2*s, -2*t - 4 = -t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1479667 and 8584?\nAnswer: 11837336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {l: 4, o: 3, a: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866069 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 70, 59, 42, 19, -10, -45, -86?\n\"Answer: -3*z**2 - 2*z + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-4))\/(-15)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 6, -7, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*o = -32*o + 4*t + 4, 6 - 10 = 4*o + 4*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (8 - -16) + -22\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 193?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*g + 4*g - 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + (-351 + 344 - ((4 - 1) + (-16 - -2))).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1012311 (base 4) to base 14\nAnswer: -191b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -772, -3136, -7056, -12520, -19516, -28032, -38056?\nAnswer: -49576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -30350 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**11))**(-29)*((f**21\/f)\/f*f)\/((f**9*f)\/f) assuming f is positive.\nAnswer: f**330","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*j**4 + 33\/7*j**2 - 6\/7*j**3 + 0 + 36\/7*j.\nAnswer: -3*j*(j - 3)*(j + 1)*(j + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1943 + 195.0943. What is s rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahhvhhhhvhhhhaa. What is prob of sequence ahh?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -13.3\nAnswer: 3.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -257722, -1030853, -2319406, -4123381, -6442778?\n\"Answer: -257711*s**2 + 2*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.9 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -615 and 3565.368107.\nAnswer: 2950.368107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:19 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let y(c) = 34*c**2 - 89249*c. What is y(h(l))?\nAnswer: 34*l**2 - 89249*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 400\/320*36\/15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 9*p**2 - 5*p - 3. Let l be 2 + (81\/(-12) - -6)\/((-18)\/144). Give t(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*y + 9*y + 2277, 0 = 2*g + 3*y - 1111. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + (7 - 3) - -14) + -17 + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30\/270*(-585)\/30\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 390 = 100. What is the smallest common multiple of -18*(2\/(-3) + 0) and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180201 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 - 6 - (3 + -6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114280000 = -41*a - 53*a + 104*a. What is a rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8094540 is divided by 1804.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (11 + -5))*(-30 - -31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/15732 and 25\/23598.\nAnswer: 47196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -56333, -36 in increasing order.\nAnswer: -56333, -36, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 - -309. Calculate the greatest common divisor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 5*z**2 + z + 14. Let l be a(-5). Let c(w) = 6*w - 52. Let j be c(l). Solve j*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.8122? (a) 0.1 (b) -94 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 301717 - -1021?\nAnswer: 302740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**4\/72 + 37*q**3\/12 - 27*q**2 - 1043*q. Suppose z(b) = 0. What is b?\nAnswer: 3, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351803 is divided by 1644?\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hghhhgvhgg. What is prob of picking 1 v and 3 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10839, 10847, 10855, 10863, 10871, 10879?\n\"Answer: 8*z + 10831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*x**2 + 6*x - 6*x.\nAnswer: 62*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 16. Suppose 4*m = 3*t - s, -5*t + 3 + 5 = -4*m. Suppose 3*v + 3*u = 36 + 132, 5*v + u - 268 = t. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 - 2*i + 3. Let x be k(2). Put 1, 4, x, 26 in increasing order.\nAnswer: x, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116495124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 18 = 2*i. Put i, -3, -4 in increasing order.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k = 72*k - 1480. Suppose -6*x = -x - 380. Let b = x - k. Solve 0*o + 5*l + 3 = -b*o, -4*o + l = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*m = -37222, 9*p - 74444 = 5*p - 2*m. Suppose -2*d = 5*c - 9283, p = 22*d - 18*d - 5*c. Round d to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = g + 2698, -5*g = -12*v + 9*v + 1588. What is the remainder when v is divided by 519?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 263416.\nAnswer: 263416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f**3 - 9*f**3 + 36*f**3.\nAnswer: 64*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215329 - 128726. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a millimeter in micrometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*a + 495*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 627*q - 626*q. What is the remainder when 107 is divided by q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4*j)**(1\/31) assuming j is positive.\nAnswer: j**(5\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 2. Let d be c(2). Let k(n) = 4 + d*n + n + n**2 + 5. Let f be k(-8). What is the closest to f in 0.2, 1, 1\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (640 - 189 + 876)*(-w**4 - 2*w**2 + 2*w**2 + (0 - 1 + 0)*(2*w**4 + 0*w**4 - w**4)) to the form q + s*w + h*w**2 + f*w**3 + o*w**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50097 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-40))\/((-4)\/40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.97 * -0.023\nAnswer: 0.02231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnhnhnhnnrkyyyknky. Give prob of picking 2 k, 1 n, and 1 h.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 1, p: 6, l: 1}. Give prob of sequence dln.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 391*s**2 + 13*s + 2*s - 16*s + (1 - 1 + 2*s)*(9*s + 2 + 2 - 5).\nAnswer: 409*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 995202 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, -14, -37, -74, -131?\n\"Answer: -m**3 + 2*m**2 - 14*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5 + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5578770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18454 is divided by 2652?\nAnswer: 2542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3631773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.7616 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2) + -2 - sqrt(2))**2 + (sqrt(8) + -1*sqrt(8))\/sqrt(4) + (sqrt(32) + 1 - (sqrt(12)\/sqrt(6) + -4)) + -3.\nAnswer: 3*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 80691 (b) 3 (c) 0 (d) 0.1 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23707 is divided by 21881.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1606995 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21667299 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 1 - (-91 - -7). What is the highest common divisor of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(0 + 5*(1 + sqrt(3072) + sqrt(3072)) - (sqrt(3072) - (2 + sqrt(3072)*-2))*-2))**2.\nAnswer: 9216*sqrt(3) + 7077896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*-6*2\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0921831 months to years.\nAnswer: 0.007681925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*(-1)\/(-24)*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 4:13 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5 - 14. Let v = a + -4. What is the second derivative of -7*b - 14*b**5 - 4*b + 3*b**v wrt b?\nAnswer: -220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -3*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0695 - 0.4305. Which is the third smallest value? (a) 1 (b) p (c) 1\/7 (d) -3\/2 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*d = -544*d - 531*d + 18744 + 15484 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 7*h**2 + 5*h + 8. Let k be (-16)\/(-48) + 14\/(-6). Calculate the smallest common multiple of t(-6) and 172\/8 - (-3)\/k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0.3, -18\/1723, 28?\nAnswer: -18\/1723","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10 = 2*o - 2*j, -29 = -4*o + 5*j. Let s(k) = -11*k + 2. Let u be s(-2). Calculate the greatest common factor of o and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 56 = -2*z, 3*z = -2*p + 4*p + 60. Solve d - 5 = -h, 0 = -d + 5*d + 5*h - z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 11*i**2 - 13 - 2*i + 5*i**4 as k + m*i + r*i**4 + h*i**2 + c*i**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 1, e: 1, s: 1, w: 1}. What is prob of sequence eow?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**2*d*i**3 - a**2*d*i**2 - a*d*i**3 + 4*a*d*i**2 + d*i**3 wrt a.\nAnswer: -10*d*i**3 - 2*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28752 + -24301. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 0.09466.\nAnswer: 38.90534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.142, -4\/3, -19600?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 - 552*i**3 + 282*i**3 + 2 + 163*i**2 + 274*i**3 - i to o*i + f + l*i**2 + d*i**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-18)*8\/(-32). Is 34.4 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 52*s**2 - 50*s - 149. What is b(53)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1975974 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1637578976?\nAnswer: 2, 11, 43, 108191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x. Let h(p) = 6*p. Calculate s(h(l)).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109210684*v**3 + 83933136*v**2 wrt v?\nAnswer: -655264104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -63 - ((-5 - -14) + (-5 - -2)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c + 65 = 0. Let y = 20 + c. What is the greatest common factor of 49 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*k = 158*k - 957. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 5. Suppose 3 = -f + 5*m, -5*m - 3 = f - m. Let v(w) = 2 + 0*w**2 + w**2 - 3 - 2. Calculate f*q(n) - 5*v(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -408?\nAnswer: -9\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191535596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-2) + (-5954)\/13. Let o = k + 1274. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 48698985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 9203 = 55246. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 19*f**6\/120 + 9*f**3 - 63*f**2\/2 - 13*f. Let y(b) be the first derivative of n(b). Find the first derivative of y(l) wrt l.\nAnswer: 57*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**8\/12 - 7*x**4\/24 - x**3\/2 - 3*x**2 + 5*x. Find the second derivative of a(i) wrt i.\nAnswer: 560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(17\/9 - 2). Suppose -n = -4*n + v. Calculate the remainder when (-44)\/55*5*-1 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0594 and 0.1.\nAnswer: -0.00594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 90, 131, 194, 285, 410?\n\"Answer: q**3 + 2*q**2 + 12*q + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 - 98. What is the nearest to 0 in 51, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = v. Let d = 7 + v. List the prime factors of (0 + 1)\/(1\/d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22603*p**4 - 30*p**3 + 3*p**2 - 114229*p.\nAnswer: -542472*p - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -80 - 265241?\nAnswer: -265311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 11047 = 3*d, -n + 4*n = -2*d - 8298. Let t = -1058 - n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/7)\/((-46)\/483). Let k = -10 + 7. Which is the third smallest value? (a) k (b) -0.06 (c) x (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 281*t - 274*t - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 6*k + 2. Suppose 4*u + 6*c = 3*c - 33, c - 21 = 4*u. Let z be w(u). Solve z*h + 8 = -2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 10*g + 19. Let a = -906 - -894. Determine z(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5)*v\/v**(-4\/9)*v)\/((v*v**(-7))\/v**(5\/3)) assuming v is positive.\nAnswer: v**(464\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 983 - 955. Let l = 57 + -86. Let x = k + l. Which is the closest to x? (a) 0 (b) -3\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333297012.\nAnswer: 2, 3, 19, 131, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -481 - -482. Let u(c) = 28*c**2 + 3*c - 2. Determine u(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 138858740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630766838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/8, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 + 1 = 0. Suppose 4*n + 23*n - 54 = j. Solve -5*w - 4*o = -2*w - 28, -2*w + 16 = n*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 3 + 3)*(10 - 5 + 2)*(-34 - 167 + p + 6).\nAnswer: 14*p**3 - 2730*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -232 - -284. Let p = 88 - a. What is the greatest common divisor of p and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*t - 11*t + 5*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2023002223131?\nAnswer: -2023002223123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 11*k + 12. Suppose 3*u = k*l + 924, 2*u + u - 945 = -3*l. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28287 times -7.2?\nAnswer: 203666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6764, -13529, -20294, -27059, -33824, -40589?\n\"Answer: -6765*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus -243?\nAnswer: -243.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -122\nAnswer: -23\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - s + 12 = -0*n, 0 = -5*n - 5*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 559694 + -12?\nAnswer: 559682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*a = -8499 + 2362, -24593 = -4*f - 7*a. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c\/c**(2\/9)*c))*c\/((c\/(c\/c**(-13))*c)\/c))\/(c**(-1))**(3\/11) assuming c is positive.\nAnswer: c**(1490\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**7\/30 + 13*h**6\/75 + 27*h**5\/100 + h**4\/15 - 2*h**3\/15 + 39*h. Solve n(x) = 0 for x.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2)\/((-1)\/(-3)). Suppose -2*r + 10 = s*r. Is -38*((0 - r) + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-10 + 1 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 747738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*r - 23, 46 - 35 = -3*b - 4*r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13.7, -4, 2, -1207 in ascending order.\nAnswer: -1207, -13.7, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15520023 + -230?\nAnswer: -15520253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 - 7*u + 28. Let k be i(-3). Let j be (-55)\/7 - (-2)\/1. Is k at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 5*q + 28 = 81, 4*b + q = -23 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -261.6 - -45.6. Let b = m - -229. Which is smaller: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*f)*((-2 - 3 + 3)*(-3*f + 2*f + 0*f) - 2 + 2 - 3*f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -293.035401678?\nAnswer: -289.035401678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*-3)*-3)\/(sqrt(192)*-1) + (1 + (-2*(-1 + sqrt(13)) + -3)**2)*-2.\nAnswer: -108 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.05, 2 in decreasing order.\nAnswer: 2, 0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75.8 + 75.70005. Let j = 0.1 + v. Let u = 0 - j. What is u rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Let b be ((-13)\/7 - -1)*-7. Let s be (b\/21)\/(2\/14). Solve s = -5*d - c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1\/42237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041563897 to the power of 1\/3, to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-540)\/(-720)*16\/30. Which is the closest to 0? (a) -1\/7 (b) u (c) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7408 + 12308. What is the greatest common divisor of h and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8331*p - 573293 - 84856 = 0 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 m when three letters picked without replacement from {d: 2, m: 18}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 23\/10?\nAnswer: 23\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 262119.329 rounded to the nearest 10?\nAnswer: 262120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12664*y + 63286. Determine v(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/65634 and -81\/3620.\nAnswer: 118797540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 294?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 2*l**2 + 5*l. Let z be u(4). Let j = 1 - z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 2 - (-2 + -1). Suppose n*u - u = 0. Let t be ((-4)\/(-152))\/(1\/4). Is u bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g**2. Let p be (2\/7)\/((-120)\/(-14)). Let k(n) be the third derivative of 0*n + 0*n**3 + 0*n**4 - 3*n**2 + p*n**5 + 0. Determine k(h(r)).\nAnswer: 72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - (-34 - -82)) + (-1 - 18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 68*(-2 - (-10)\/8). Let i = c - 65. Let r(t) = -26*t + 11. Let o be r(i). What is the greatest common divisor of 33 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2*b**3\/3 - 3*b**2\/2 + 2*b - 54. Let v be q(0). Let -3*l**v - 12\/5 - 32\/5*l + 9\/5*l**3 = 0. What is l?\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -139599\nAnswer: 418797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 664 - (3 + 2) - (3 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 99 + 88 + 2.\nAnswer: i + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/((-70)\/112*8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7*w. Let s(b) = -32*b + 16*b + 49*b + 127*b + 84*b - 1. What is v(s(f))?\nAnswer: -1708*f + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(7\/4))\/l**(-2)*(l**(-1))**(-29\/4) assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*u + 2*p, 3*u = -2*u + 2*p + 40. Let c = 11 - u. Let x be 6 + (-3 + 3 - c). Solve -v = -x*o - 14, 26 = -v + 4*o - 9*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*z = -12, z = -3*d - 3*z - 9. Let m be (-9)\/(-3)*(-5)\/d. Solve -7 = -p + m*k + 7, -p + 2*k + 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7150*i + 42793. Determine p(6).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2794, -1, -13, -2, 4, -8 in descending order.\nAnswer: 4, -1, -2, -8, -13, -2794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**2 + 5 + 2*o**3 + 5 + 12.\nAnswer: 2*o**3 + 23*o**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f (base 16) in base 11?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/2 of a second?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 2*j**2 - 16*j. Let r be o(-7). Suppose -7*h - r = -14*h. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485733749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/5 - 6879*m\/5.\nAnswer: 3*m*(m - 2293)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86177928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 1. Let z(w) = w - 11. Let x be z(13). Let l(o) = 4*o + 1. What is x*y(t) + l(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - (-7)\/(-21). Let a(c) = -c**2 - 7. Let h be a(p). Let b(w) = -w**3 - 6*w**2 + 5*w - 8. Let m be b(h). Solve -d = 3*f + 6, d - 3*f = 6*d + m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 7*s**3 + 4*s**3 - 4 - 87*s + 88*s to i + c*s**3 + f*s**2 + n*s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkgjjqkjjj. Give prob of picking 1 q and 1 j.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2818316, 5636626, 8454948, 11273288, 14091652?\nAnswer: 16910046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -38. Solve -2*v - t*a - 22 = 0, a + 3 = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 2:33 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11673 and -5.\nAnswer: 11668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -133573, -534316, -1202223, -2137294?\n\"Answer: -133582*v**2 + 3*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147915241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuju. What is prob of picking 2 u and 1 k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 4*z + 6. Let s be v(-5). Let q = 1 + s. Let u be -1*(0 + q\/(-1)). Is 1 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 10:02 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1374, 1162, 950, 738, 526, 314?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7329*u + 2293*u + 2589*u - 24904*u + 4.\nAnswer: -27351*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*w - 4*p, 91*p = -2*w + 96*p + 34. Solve 10*b = w*b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let y be 1*246\/(-16) + 542 + -554. Is y greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(22)\/((sqrt(80)\/sqrt(8))\/sqrt(5) + sqrt(2)) - sqrt(132)\/(3*sqrt(588) + sqrt(12) - sqrt(12))).\nAnswer: -19*sqrt(11)\/42 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 71, 219, 449, 761, 1155, 1631, 2189?\n\"Answer: 41*a**2 + 25*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 5 + -3 - -274) + -1. Suppose 15*r - 252 - q = 0. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.253485 times 90\nAnswer: -22.81365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -69, -580.\nAnswer: -580, -69, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7216275 (base 8) to base 16.\nAnswer: 1d1cbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550877?\nAnswer: 137, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15200202733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 - 2*t**3 + t**3 - t**2 - 76*t + 6*t**2 - 23*t**3.\nAnswer: -24*t**3 + 2*t**2 - 76*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316 + 163 = -33*w - 49 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1490170 and 94116?\nAnswer: 8941020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 7. Let m be l(-3). What is the nearest to 1\/5 in m, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 + 2*c**3 - 2*c**3)*(-2*c + 2*c - c) - 3*c**2 - c**5 + 3*c**2 - c**5 - 2*c**2 + 2*c**2 + (-4 + 4 - c**3)*(c**2 - 1 + 1).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7020 - -14091\/2. Let b = -24248\/5 + 4878. Let j = 493\/20 - b. Calculate the common denominator of j and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + 5*j**2 + 7*j + 78. Calculate h(-7).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1526769171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3013 + 3013. Is -9\/193 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 + 66*q**2 + 315*q + 432 = 0. Calculate q.\nAnswer: -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 3 - -54*22\/(-561). Which is the nearest to -0.05? (a) -1\/7 (b) v (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, d: 7, n: 2, a: 4}. Give prob of sequence anan.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5\/4 + 25*j**4\/2 - 16207*j**3\/2 - 32634*j**2 + 96957*j\/4 + 293355\/2 = 0.\nAnswer: -205, -3, 2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1497 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606799441 to the power of 1\/2, to the nearest integer?\nAnswer: 40085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let w = 8 - y. What is the lowest common multiple of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8 and 89\/13068.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -20*z + 2*z**2 - 41 - 12*z + 10 + 8*z - 17*z. Calculate y(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.956414 less than -85293?\nAnswer: -85433.956414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, m: 3, l: 5, b: 2, e: 1}. Give prob of sequence ybb.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - m - m + 8, 2*s = -3*m - 4. Let r = s + 2. Solve r*y + 4 = -2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.56 and -2657972?\nAnswer: 1488464.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0491 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 0*g**3 + 0*g**3)*(-12 + 8 - 16)*(-16 - 20 - 22)*(-1 + 1 + g) + (-3 - 1 + 5 + g)*(1 - 2*g**3 - 1).\nAnswer: 1158*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*c - 4, -p = -3*p - c - 3. Let l = 2 - p. Solve 8 = 7*t - l*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 5*b - 6. Let j be (3 - 0)*b\/(-9). Suppose n + 15 = 2*l, -l - 3*n = -j*l - 5. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**5\/60 + v**4\/8 + 172*v**2. Give y(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-1\/12)))\/(u\/u**(-6)))\/(u**(2\/3)*u**5) assuming u is positive.\nAnswer: u**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -308*v + 309*v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 1713*o**5\/20 - 201*o**4\/4 + o**2\/2 - 1908*o. Find the third derivative of z(u) wrt u.\nAnswer: 10278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 0, 47*x - 3*g = 52*x - 8. Which is the second smallest value? (a) 5 (b) x (c) -4.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2137494 and -19\/9?\nAnswer: 6412482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5751400 to the nearest one hundred thousand.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -11. Let o(u) = u**3 + 15*u**2 + 13*u - 17. Let l be o(-14). Let y be (l\/2)\/(75\/(-20)). Is d less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 57 = 7. Suppose -3*y + t = -y. Factor 1\/4*a**4 + 0*a**2 + 0*a + 0*a**3 + 0 - 1\/4*a**y.\nAnswer: -a**4*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -12*a**3 - 162*a**2 + 4*a + 3. Let j(h) = 5*h**3 + 80*h**2 - 2*h - 1. Determine 5*j(k) + 2*n(k).\nAnswer: k**3 + 76*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4835 - 4742. Calculate the highest common factor of 27 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25142707285425 - -0.5?\nAnswer: -25142707285424.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2. Suppose 5*t = -5*a + 235, -42 - 96 = -3*a - 2*t. Let u(p) = -2*p + a + 2*p - 3*p**2 - 85. Determine h(u(b)).\nAnswer: 18*b**4 + 492*b**2 + 3362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*d**2 + 112*d + 105*d**3 + 1\/2*d**5 + 35\/2*d**4 + 0 = 0. What is d?\nAnswer: -28, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13.1 in 0, 3\/4, -2057?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -101100100101101000?\nAnswer: -101100100101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1524*q - 272*q + 552*q - 116*q.\nAnswer: 1688*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 15 + (-5 - -1). Suppose -7*r = -x - 66. What is the smallest common multiple of 48 and r?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let t(c) = -9*c**2 + 9*c + 9. Let m(x) = x + 1. Let u(s) = -9*m(s) + t(s). Give u(r(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -102b702 + 2a?\nAnswer: -102b6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 20, -5*j - 2*o = -61 - 64. What is the lowest common multiple of j and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378768 + -1124949.\nAnswer: -1503717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -2660.\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7))**(-8)\/(s**2*s**2))\/((s**(-2\/5))**(-42))**(3\/4) assuming s is positive.\nAnswer: s**(-661\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 0.66. Let r = h - 0.74. Let x = r + 1.42. Round x to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11083 or -11096?\nAnswer: -11096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -49. Suppose 0*q = 2*q - 4. Which is the third smallest value? (a) 1 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 77520?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/1674*2\/20*(-13)\/208*-40.\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by -12?\nAnswer: -97\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 4*v + 15*v = -5*y + 20, -2*y + 5*v = 25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13938338, -55753335, -125444996, -223013321, -348458310, -501779963, -682978280?\nAnswer: -892053261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -276*p**5 + 5*p**3 - 3*p + 11. Let o(j) = -413*j**5 + 7*j**3 - 5*j + 16. Let d(b) = -5*o(b) + 7*u(b). What is the second derivative of d(s) wrt s?\nAnswer: 2660*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.378131 to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811697835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + 11 - (-3 - (-7 + 12\/3)). Which is the nearest to m? (a) 0.07 (b) -2\/9 (c) 52 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 962703?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725 = 3*h + 8*f, 4*h + 2*f + f - 32 = 145 + 92 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 2*c - 3. Suppose -7 = -3*n + 2. Let v be m(n). Let k = 7 - 4. What is the closest to v in -1\/6, k, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 2*a**6\/15 - 13*a**5\/60 - 7*a**4\/24 + 7*a**3\/6 - 65*a**2. Let w(t) = -11*t**3 + 9*t**2 + 5*t - 5. Calculate -5*i(c) - 7*w(c).\nAnswer: -3*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 4*g**3\/3 - 3*g**2\/2 - 3*g - 3. Let j be x(6). Let z = j - 35. What is the highest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78080 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: Which is bigger: -37\/3486316 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 226*t - 222*t - 41, 0 = 13*t - y + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*321\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**3 - 5*s**2 - 5*s - 2. Let h(c) be the second derivative of c**5\/20 + c**4\/12 + c**3\/6 - 4*c. Let y be 3*2\/6*2\/(-2). Determine y*w(a) - 5*h(a).\nAnswer: a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/37 (b) -0.2 (c) -5 (d) 2\/23 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*h + 32 = -h, 2*h = -2*y - 8. Let x be (-3)\/y + 4\/8. Is x at most as big as -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7660 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136\/5 in 7\/4, -3, -1\/10, -2, -2\/19?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4 - 5 + 6 - 3 + 3*v. What is p(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 513 - 512.769. Let q = f + -0.241. Sort -1\/4, 1, q, -2 in descending order.\nAnswer: 1, q, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyudt. Give prob of sequence dtyy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*k - 7*k + 41033, -5*k - 5*z = -41025. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/140 and 31\/88052216.\nAnswer: 440261080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125373949?\nAnswer: 1709, 73361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3)**(-34)\/(l*(l*l**(-3))\/l)**(-32) assuming l is positive.\nAnswer: l**(-166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 30*i**2 - 221*i - 12. Calculate d(17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -21. Suppose -3*d = 5*m - 2*d - 45, 0 = m - 2*d - 20. Suppose -g*s + 6*s = -3*k - 8, 2*s = -m. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*d, -r - 1777 = 7*r - d - 1902 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 17, -3, -2, 5 in ascending order.\nAnswer: -3, -2, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 65. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -122 + 122 - 55*i**3 + (-2*i**3 + i - i)*(2 + 0 - 1) + 4*i**3 - 6*i**3 + i**3.\nAnswer: -58*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.1 * 60.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 19880 = -3*h - 19885, 5*g + 5*h = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5*k*k**(-4))**(-43) assuming k is positive.\nAnswer: k**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from fhhf.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1158*i + 1015*i + 5030740 = 0. Does 96 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5 and 27\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 619877 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(sqrt(320) + 1) + -2 + sqrt(320) + (sqrt(320)*-2 - sqrt(320)) + 3 + -2)**2.\nAnswer: 320*sqrt(5) + 5149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175489571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/3 + (-3492)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 - (-11 - -58) - (5 + 90).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 436*q - 4796. Let r be o(11). Solve -4*g - 6*w - 40 = r, 0 = -4*g + 12*w - 8*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001239 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 85 = -16*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - (1 + 2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/2*58*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2517 + 8*l - 1266 - 1166)*(-2*l**3 + 4*l**3 + 0*l**3).\nAnswer: 16*l**4 + 170*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 287595004 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + -6 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -361*l - 495. What is t(-2)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*j + 348*j - 19697 + 9552 - 19305 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9618683 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 0*o + 0*o - 5*o + 2*o + 0*o + (-2 + 1 - 1)*(-1 + 1 - 2*o) + o - 1 + 1 + (-2*o - o + 4*o)*(-3 + 1 + 4).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, m: 1, i: 1, p: 1, a: 2}. What is prob of sequence gg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485358?\nAnswer: 2, 3, 41, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 374 (base 8) to base 16\nAnswer: fc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2507.\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117685 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 2 - 11 - 2*f + 1 to p + q*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*o - 9, -5*n - 2*o = -11 - 10. Suppose -5*w - 67 = -n*s + 108, -2*s + 70 = -5*w. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61511818, -123023630, -184535442, -246047254, -307559066, -369070878?\nAnswer: -430582690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114292269 and 1629.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfpfpfpppf. What is prob of sequence ppfp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 145*u**4 + 7*u**3 - 481*u**2 - 3*u - 1. Let v(s) = 3*s**3 + 2*s**2 - s. Let l(i) = k(i) - 3*v(i). What is the third derivative of l(z) wrt z?\nAnswer: 3480*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, -5, 2263, 4, -2\/3, -1 in increasing order.\nAnswer: -5, -4, -1, -2\/3, 4, 18, 2263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 35 = 23*j. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - 33. What is the least common multiple of i and 18?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3741a (base 12) to base 7\nAnswer: -431242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 38. Let m be (-4)\/6 + 89\/a. Suppose m*v - 33*v = -8. Solve -2*o = v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.2037 - -0.2037. Let v = 0.8 - 11.8. What is the second smallest value in v, i, -0.5, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 38.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86755438?\nAnswer: 2, 7, 11, 613, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21\/8 + 197\/72. Let c(d) be the first derivative of -l*d**2 - 3 + 1\/18*d**4 - 2\/45*d**5 + 2\/27*d**3 + 0*d. Factor c(j).\nAnswer: -2*j*(j - 1)**2*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**10)\/v)\/(v**(-11)*v))\/((v\/(v\/(((v\/((v**13*v)\/v))\/v)\/v*v*v))*v)\/v**(9\/4)) assuming v is positive.\nAnswer: v**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(891) + 5*(sqrt(891) + 3)).\nAnswer: 45 + 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*b + 3, -3*f + 25 = f + 3*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3889, 8543, 13197, 17851?\n\"Answer: 4654*w - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -16441 in decreasing order.\nAnswer: 3, -3, -16441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -56945 + 56946 - 323*d - 325*d. Let v(z) = -z. What is v(c(u))?\nAnswer: 648*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(7\/(11\/(462\/(-98)))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1815, -3, -47, 3, -22, -5 in increasing order.\nAnswer: -1815, -47, -22, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(162))*3 + 1 + 2*sqrt(162) + -3)*3.\nAnswer: -24 + 135*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - 3*i + 3*i)*(-i + 0*i + 3*i)*(-6*i + 782 - 782)*(-2*i + 2 - 2) to k*i + t*i**4 + d + o*i**2 + w*i**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 3*d - 3. Calculate p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22321 - -22327. Sort -4, j, -373.\nAnswer: -373, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 - 136\/14. Let i be (8\/y)\/((-1)\/5). Let z be 2\/5 - (-146)\/10. Solve 5*r - m + 8 = -z, i*r - 3*m = -25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 261, 373, 469, 543, 589?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6565 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 - 1198 - 252 = -129*j. What is the lowest common multiple of j and 4050?\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.6 + -11. Let v = 3.6 + -4. Let l = v + t. Which is the second smallest value? (a) l (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at least -1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-n**2 + n**2 + 2*n**2) - 4*n - 5*n + 31*n + n**2 to the form b + j*n**2 + i*n and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-6)*q*q)\/(q*q**(-2\/7))*q**4*q**(-4\/9) assuming q is positive.\nAnswer: q**(-10\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1501 - -0.16. Let a = u + -0.01. Round a to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1507378*-1.8\nAnswer: -2713280.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 105030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 18715.721624 to the nearest 100.\nAnswer: 18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2752228 is divided by 2752212.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.4, -0.49, 11\/6, 2\/23?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 486 - -162. Let i = -352 + w. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232643 - 232525. Suppose 4 + 0 = h. Suppose h*y - 5*s = 78, -2*y + 2*s + 36 = s. Calculate the remainder when r is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven thirds of a decade?\nAnswer: 2680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 6*t**2 - 4*t - 7. Let p be b(7). Is p > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 590 and 32610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -564?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150, 159, 168, 177, 186, 195?\n\"Answer: 9*p + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 8*v**3 - v**3)*(-4*v**2 + v**2 + v**2) - 582*v**2 - 116*v**5 + 582*v**2.\nAnswer: -122*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239168717128 - -4.\nAnswer: 239168717132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 355*v**5 + 984*v**5 - 142*v - 495*v**5 wrt v?\nAnswer: 2680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 5, 2 in decreasing order.\nAnswer: 5, 2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g*u**3 + 25*g*u**2 + u**3 + 194*u wrt g?\nAnswer: -3*u**3 + 25*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788, -1627, -2524, -3479, -4492?\nAnswer: -5563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/9818 and 125\/12?\nAnswer: 58908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -160416?\nAnswer: -7\/80208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l - 3. Let h be y(3). Let t(f) = 38*f - 15. Let j(q) = -19*q + 8. Let z(i) = h*t(i) + 11*j(i). What is the tens digit of z(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/27 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 5 - -6 - (0 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 8*h - 852. Let c(x) = 3*x**2 + 35*x - 4. Calculate the remainder when h is divided by c(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1980 times -23346\nAnswer: 46225080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*n = 12, -2*y + 2*n + 12 = -2*n. What is the second smallest value in -1\/5, -4, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**3 + 10 + 2 - w**4 - 11 to m*w**4 + p + q*w**3 + g*w**2 + h*w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 5*v**2 - 3068*v + 3062*v to the form r + x*v + h*v**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1)*(15 + (-525)\/60)\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235168.1464 rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.88557 and -3.\nAnswer: 77.65671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323303110 - -2?\nAnswer: 323303112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -396*c + 3584. Let k be t(9). Let g = -9 + 6. Let y(w) = 90*w. Let a(f) = 13*f. Give g*y(h) + k*a(h).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g + 145 - 1421 = -51. What is the remainder when 171 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -46, 4\/5, 0.2, -12\/5 in decreasing order.\nAnswer: 8, 4\/5, 0.2, -12\/5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 938.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/7))**31*n\/(n\/(n*n**5)*n)*n**4\/n)\/(n\/n**(-6)*n**(-3)*((n**(1\/2)\/n)\/n)**(10\/13)) assuming n is positive.\nAnswer: n**(-337\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*k + 79, 2*k - 2*n = -6*n + 28. Let o = 6 + -4. Suppose -2*r = -3*g + 152, -2*g + 92 = -r + o*r. What is the greatest common divisor of k and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40906 and 2260?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102843361.0000212 + 102843333. Let c = -28 - o. What is c rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33395 greater than 166977\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9916747, 39666974, 89250681, 158667868, 247918535, 357002682?\n\"Answer: 9916740*c**2 + 7*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3765*b + 3776*b - 1597200 = 0. Round b to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1867 and -1014480.\nAnswer: -1016347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.39754kg to tonnes.\nAnswer: 0.04339754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 119 - -2?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6.400457 kilometers?\nAnswer: 6400457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-17 - 3) - (-5 - -13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p - 9*p + p**3 - 41 - 2*p**3 - p**3 + 144 to the form c + j*p + f*p**3 + l*p**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60632494.\nAnswer: 2, 13, 43, 193, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 756173 to the nearest 1000.\nAnswer: 756000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 99. What is the units digit of p(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2214 and 1722?\nAnswer: 15498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -34, 3, 0.01, 0.2?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 196*-0.72\nAnswer: -141.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5192 - 52019\/10. What is the common denominator of -75\/16 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11272*f**2 - 19021*f**2 - 22434*f**2.\nAnswer: -30183*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 - 2*u**4 + 56*u**4 + 0 + u**4 + 0 + (-u**3 + 2*u**2 - 2*u**2)*(-4*u - u + 4*u) - u + u**4 + u - 2*u**4 - 2*u**3 + 2*u**3.\nAnswer: 50*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11747 + 113087. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 85 (c) 4 (d) -4 (e) -1\/34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 707322 + 2457322. What is g rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*k - 5131 + 4371 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1073 * -0.21\nAnswer: 0.022533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 6)*(-7 - 35 + 8)*(-4*u**3 - 3*u**3 + 5*u**3).\nAnswer: -340*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -552, -1611, -3236, -5409, -8112, -11327?\n\"Answer: 3*i**3 - 301*i**2 - 177*i - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, -0.28, -4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -200446?\nAnswer: 200434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.6536964 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*p = 115*p - 266. Suppose 6 = n - p. What is the highest common divisor of n and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**2 + 0 - y + 0*y**3 - 1\/12*y**4. Let x(s) be the first derivative of k(s). What is x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 equal to 948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 127276021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m, -2*q - 3192 = 2*m + 4622. Is -3900 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 13624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 68 - 259 = 18 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 57*s - 59. Let q(h) = 113*h - 130. Determine -5*i(o) + 3*q(o).\nAnswer: 54*o - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/5 - 72*p**3\/5 - 2*p**2\/5 + 2268*p\/5 - 784 = 0.\nAnswer: -35, -7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 0, 4*x - 2*i + 295 - 1151 = 0. Suppose 0 = x*l - 216*l - 56. Let v = 31 + l. Solve 0 = v*b + 2*b - 2*j + 6, 0 = -3*b + 4*j - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3051 - 1508. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311 (base 4) to base 9.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, e: 1, o: 3}. Give prob of sequence vo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 + -133. What is the fourth smallest value in o, -5, 1\/9, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6930)\/1248)\/55 + (-2)\/(-32)\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 551, 547, 547, 551, 559?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**4\/2 - 216*l**3 - 34992*l**2 - 2519424*l - 3011. What is m in y(m) = 0?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1)*o)**(-31))**(9\/7) assuming o is positive.\nAnswer: o**(-279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 2*a**4 - 2*a**5 + (-a**4 + a**3 - a**3)*(12 + 7*a - 12) + 1 + a**5 - 1 - 133*a**3 + 133*a**3 + 76*a**5.\nAnswer: 68*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5741345 and 1515.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 355*q + 86531. Is v(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {b: 1, w: 1, n: 1, y: 1, c: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6683, 6653, 6623, 6593?\nAnswer: 6563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.24 - 0.34. Suppose 0 = -t + 3 - 2, -17 = 3*s - 5*t. Put m, s, 1 in ascending order.\nAnswer: s, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -79d00 - 181?\nAnswer: -7a081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from mmbbmmmmmmmmmmmmmmm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002923 to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.05. Let a be (-208)\/2080*(-12)\/(-3 - -1). Put -4, a, l, -1 in increasing order.\nAnswer: -4, -1, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2475 + -1460. Is 2\/(-8) - c\/(-28) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4 + (sqrt(425) - (3 + sqrt(425) + sqrt(425))))**2 - (sqrt(170)\/(-1*sqrt(10)) + 6*(1*sqrt(17) + sqrt(17))**2).\nAnswer: 62 + 71*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2434963.3 rounded to the nearest one thousand?\nAnswer: -2435000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b76 (base 16) to base 12.\nAnswer: -1846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 4*m - 6*m + 6*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/(2\/(-12)). Let u = -2 - j. Let l = u + 9. Solve l = 3*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 15*y**2 + 28*y - 11. Suppose 3*c + 11*h - 10*h + 42 = 0, -2*c + 5*h - 11 = 0. What is u(c)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbjy when four letters picked without replacement from bycyybcjybyyjcy?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1001? (a) 400 (b) -4 (c) 102 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 20580 - 23605 + 44185 + r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 + -10?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 3:01 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23680 - 31988 = -432*f - 15492 for f.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from tccuuugclccmu?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(-2\/37) assuming j is positive.\nAnswer: j**(-6\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 272 divided by 2727\nAnswer: 272\/2727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (29 + -10) - (-18 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from {t: 3, w: 11}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 - 3 - 89*d**2 - 21*d**2 + 2 - 15*d**2 in the form k + r*d**2 + t*d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 696022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 68*z + 10 - 6 - 4 in the form v*z + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2317 is divided by 155.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201 and 414663?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gogz when four letters picked without replacement from {g: 2, z: 4, s: 6, n: 1, o: 3, w: 2}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 7 + 12)*(3*z**2 - 3*z**2 + 3*z**3) + (-z**2 - 3*z**2 + z + 2*z**2)*(3*z + 0*z + 5*z).\nAnswer: 56*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -177 (b) -0.3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*h**5 - 28*h**5 + 31*h**5 + (0 - 4 + 1)*(-h**2 - 3*h**2 + 5*h**2)*(2*h**3 - 2*h**3 + 2*h**3) + h**5 + 0*h**5 + 0*h**5.\nAnswer: 38*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by 11.\nAnswer: 114\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 133 - 323?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8729\/4 + -2159. Suppose 0*x + 2*x = -46. Let i = h + x. Put i, 0.2, 9 in ascending order.\nAnswer: 0.2, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17) + -1 - (-1*sqrt(187))\/sqrt(11) - -5*sqrt(102)\/(sqrt(6) + -2*sqrt(6)))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4409 is divided by 2348.\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24, -8, 8?\n\"Answer: 16*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43154?\nAnswer: 2, 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 0*c + c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 1309745.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7834363 plus 138326?\nAnswer: -7696037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.40183 rounded to 0 dps?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/8 + 6\/(-4). Let s be (2\/6)\/(k\/3). Does s = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/49 in -0.1, -1\/4, -10, -2\/7, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 27*f**2 + 12*f + 3. Let g be h(9). Suppose -674 = 29*c - g. Calculate the remainder when 185 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 774041 - 774041.5. Let x = -1.3 + 0.3. Which is the biggest value? (a) x (b) y (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 306 and 3.\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let f(u) = -2*u + 2. Suppose -4*q = -4*b, -2*b + 2 + 2 = -4*q. Let n(r) = -8*r + 9. Let g(c) = q*n(c) + 9*f(c). Determine y(g(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 10*g + 3. Let u be j(10). Let c(r) = -r**3 + 4*r**2 - 3*r + 4. Let l be c(u). Suppose -l*i + 6 = -i. Solve -i = 2*s - s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1818000 = -75*s + 57*s. Round s to the nearest 1000.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2002220 (base 3) to base 4\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6.9. Let m = x + -4.1. What is the third smallest value in 0.2, 10, m?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 13*v + 26. What is i(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**5 - 74*l**4 - 874*l**3 - 3454*l**2 - 2652*l = 0.\nAnswer: -17, -13, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195 - 114. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.1. Suppose 65*z = 66*z - 1. Which is the closest to h? (a) z (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in 103, 0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.30963 + 7673.29037. Round w to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143.9 + -132. What is x rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -25\/4 (b) 3233 (c) 4 (d) -6 (e) 0.2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16 = -4*x, -4*x + 35 = 4*n + 11. Suppose 4*i + 4*j = n, -5*j = i - 0*i - 5. Solve 5*s - o - 5 = 0, i = 5*s - 4*s + 5*o - 27 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, z: 1, g: 18}. What is prob of picking 3 g?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35079\/15034 or -1?\nAnswer: -35079\/15034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135 + 1095*v + 92 - 1092*v)*(-1 - 3 + 2).\nAnswer: -6*v - 454","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 222 = -21*x. Suppose -2*k = x*k - 19266. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Suppose h*z = 3*z - 9. What is the remainder when 19 is divided by 1 + (13 - z) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 40.4 (b) 2\/5 (c) -5 (d) -6 (e) 0.1473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 82. Let y be r(-21). Sort y, -4, -5, -2.\nAnswer: -5, -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -62*c**2 - 17172*c + 17173. Give w(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1634236 (base 13) to base 9\nAnswer: 14406141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55039?\nAnswer: 23, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352\/(-8)*(722\/(-40) - -18).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*u - 61335 = -1573*u for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 43*c**6\/6 - 7*c**4\/4 - c**2 - 1091*c + 1192. Find the second derivative of n(q) wrt q.\nAnswer: 860*q**3 - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 722 + -576. Let f = o + -121. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 20 = 64. Suppose -r**j + 12*r - 3*r**2 + 0 + 3*r**2 - 4*r**3 - 9 + 2*r**2 = 0. What is r?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016249 to four dps.\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*o**3 + 3*o**2 - 2*o**3 + o**3 - 2*o**2 in the form a*o + r + g*o**2 + w*o**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**5\/4 - 3645*b**4\/4 + 180435*b**3\/4 + 176128685*b**2\/4 + 2948518170*b + 2904532020 = 0.\nAnswer: -103, -1, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50.06 - -49.97. What is the nearest to -2\/7 in -16, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -4\/9 (c) 1\/6 (d) 1\/26 (e) -270798 (f) -3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -194591*l + 2. Let d(o) = -2*o. What is d(h(b))?\nAnswer: 389182*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61375402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*h**2 + 10 - 11*h + 29*h - 2*h**3 - 20 + 12 - 13*h to the form v + y*h + i*h**3 + b*h**2 and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 23. Let r be l(-10). Let y be (-3630002)\/r - (-18)\/27. Round y to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 15*u**2 + 2*u + 1. Suppose 3*s + 17 = -4*i, 2 = 4*i + 2*s + 16. Let b = i + 1. What is the remainder when 41 is divided by p(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/6, 4, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) -15\/94 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 2, k: 2, e: 1, x: 1}. Give prob of picking 1 e and 2 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 26*n**2. Let u(d) be the first derivative of d**5\/60 + 11*d**2\/2 - 10. Let b(a) be the second derivative of u(a). Calculate w(b(m)).\nAnswer: 26*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 41 - 21 - 18 - 5*l to the form s*l + b*l**2 + a*l**3 + g and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -814, -792, -772, -754, -738?\n\"Answer: -a**2 + 25*a - 838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in decades?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7 = 2. Let x be (t\/(-4))\/(42\/(-16)). Put 2, x, -2\/9 in increasing order.\nAnswer: -2\/9, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -300 + 305. Let b be v + -1 + -3 + (-2)\/(-2). Let z(y) = -3*y**2 - 2*y + 3. Calculate z(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3434 (base 7) to base 13\nAnswer: -752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 766, 732, 688, 634, 570, 496?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*j*m**2 + 11*j*u**3 + 76*m**2 + m*u + 2*u**3 wrt j?\nAnswer: -6*m**2 + 11*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = a - s, -3*a = 3*s + s + 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, 1 y, and 1 g when four letters picked without replacement from dmdddddjiddddgyddd?\nAnswer: 13\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n - 2*n + 6*n. Let u(w) be the third derivative of w**4\/24 + 4*w**2. Give u(v(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7284 and 66.\nAnswer: 80124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1994982.\nAnswer: 2, 3, 11, 167, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 51*b + 118800. What is the highest common divisor of b and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 7 = 23*g. Which is the second biggest value? (a) -4 (b) -0.4 (c) g (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204346485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2027899182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/1133020 and 17\/47813444.\nAnswer: 239067220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.5 (b) -5 (c) -0.16 (d) 2 (e) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344064 is divided by 1860?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20311223 (base 4) in base 13?\nAnswer: 1362b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-9))\/((-72)\/108)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7907 + 4143*k + 3956 + 3951 to g + s*k and give s.\nAnswer: 4143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20, 1, -116088, -5, 5.\nAnswer: -116088, -20, -5, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzozwzozoofowoooozf. Give prob of picking 1 z and 3 f.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 2 + 1 + 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 - 3*t. What are the prime factors of z(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*q - 56 = -268, -q + 588 = 3*b. Let w = -5749565\/37214 + 1\/18607. Let o = b + w. Find the common denominator of o and 125\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2260 is divided by 750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a - 382cb?\nAnswer: -38337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/(4\/18). Suppose 0*h - 4*j - 4 = b*h, 5*j + 5 = h. Let n be ((-1)\/4)\/(3\/(3*-44)). Solve -3*k - n - 4 = h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 8 = 2*q. Let c = q + 10. Let 0*g**4 - g**5 - c*g**3 + g**3 + 4*g**4 - 2*g**4 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**6\/540 - y**5\/90 + y**4\/18 + 8*y**3\/27 - 569*y**2. Factor o(s).\nAnswer: -2*(s - 2)*(s + 1)*(s + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 31*a**2 - 4*a + 125. Suppose 2*r - 19 - 43 = 0. Let p be d(r). Solve 12*t = 13*t + p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -6.1\nAnswer: 0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (-2 + 3 + sqrt(200)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, -15181, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**4 - 7265*f**3 - 36410*f**2 - 58300*f - 29160 = 0.\nAnswer: -2, -1, 1458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 182\/(-1092) + 286\/(-36) + 9. Factor 2450\/9*d**2 + 280\/9*d + b.\nAnswer: 2*(35*d + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/200 and -36\/286775?\nAnswer: 2294200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1539) - ((sqrt(19) - (-2 + sqrt(19))*-2) + sqrt(19))**2.\nAnswer: -322 + 41*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 363669\/8 or 45460?\nAnswer: 45460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 3. Let s be 2*((-1)\/(-2))\/(2\/28). Let j be m(s). What is the greatest common factor of 55 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u + 167. Let t be 1*156\/(-15)*80\/(-32). Is 7 a factor of o(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 293 (b) 3 (c) -5 (d) 0.2 (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + y + y - 111 - 4*y.\nAnswer: -2*y - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.7754162 to 2 dps.\nAnswer: -108.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -724258 + 16825483. Let f = 53722281\/10 - v. Let o = f - 5159. What is the common denominator of 37\/12 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-6))\/((-3)\/9). Let n = -256 - -254. Is n at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800 + 708 = -45*j + 428 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 140, 172, 212, 266, 340, 440, 572?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3023057 at most -3023057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -12*c - 2. Let p(d) = 2*d**2 - 10*d + 10. Let o be p(4). Let m(h) = 2*h**2 - 2 + o. Determine m(x(k)).\nAnswer: 288*k**2 + 96*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 965633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - p**3 + 4*p**3 + (-3 - 11 - 5 + 1 + 2 - 1 + (6 + 0 - 5)*(-1 - 1 + 1) + 2 - 4 + 3)*(2*p**3 - p + p).\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 1129*o + 24392. Give r(21).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 a factor of 1212100794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 25, 72, 149, 262?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from codooocoddboz. Give prob of picking 4 o.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240192?\nAnswer: 2, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/81873 and 13\/594.\nAnswer: 491238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942291305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 670, -8947 in decreasing order.\nAnswer: 670, 4, -5, -8947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2423886733 or -1?\nAnswer: 2\/2423886733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*k**2 - 4*k**2 - 16*k**2)*((3 + 0 - 2)*(0 + 0 - 1) - 4 + 3 + 4 - 1 + 0 + 0 - 1 + 2 + 0).\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1150 + -1122. Let o = 11 - 5. Calculate the remainder when m is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 0*i**2 - 2*i**2)*(-3*i + 4*i - 3*i) - 4*i**3 + 0*i**3 - 5*i**3 + (2*i**2 + 6*i**2 - 5*i**2)*(0 - 3 + 0)*(27*i - 7*i + 8*i).\nAnswer: -263*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(3\/(-12)))\/(-2). Let v be (1 - c) + 28\/(-14). Sort v, 0, 5.\nAnswer: 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*b, -8*b = 2*x - 10*b + 159784. Let s = x + 158019. Factor 1056*j - 4 - 18750*j**2 - s*j**3 - 2556*j - 36.\nAnswer: -5*(25*j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142897, -150282, -157667, -165052, -172437, -179822?\nAnswer: -187207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 141065*i - 2397619. What is v(17)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -7*t + 4. Let y be (5 - 252\/44)\/((-3)\/t). Let p = y + -461\/66. Which is bigger: p or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 70?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*r + 1 - 1.\nAnswer: 77*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6699457, 6699276, 6699095?\n\"Answer: -181*d + 6699638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72232867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.5 - 8. Let w = -6 - -4. Which is the third biggest value? (a) j (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*p - 26*p**2 + 38*p)*(1 - 1 - 1)*(0*p + 0*p - 4*p).\nAnswer: -104*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.8104237?\nAnswer: 1.6208474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -46*q + 378. Give t(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -942?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1161 and 25542?\nAnswer: 25542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c**2. Suppose 200 = 10*f - 40. Let z(m) = 55*m**2 + 62*m**2 + f - 15 - 9. What is 27*x(r) + 2*z(r)?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 111 and -8296 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/21129 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200121101 + 1001010?\nAnswer: -122120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 4. Let f be d(11). Let r be -12*4\/(-7 + f). Let k(u) = -u**3 - 7*u**2 - 5*u + 7. Determine k(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -132 - 12. Suppose -5*x + 6 = 2*f - 12, 2 = 2*f - 3*x. Calculate the remainder when f is divided by -4 + (-296)\/d + (-4)\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - 21.91. Let y = s - -21.6. Sort 2\/3, -0.3, y, -0.1 in increasing order.\nAnswer: y, -0.3, -0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, u: 6}. Give prob of picking 1 s and 2 u.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/30 - 2) + (4 - -1)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 10:50 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 4. Let t = 23 - q. Let k = -11.9999981 + t. What is k rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 15*n - 34. Suppose -n*t + 5*p + 19 = 0, -5*p - 19 = -t - 2. Which is the nearest to -1\/4? (a) 2\/3 (b) t (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.8 or 3101317?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 748, 121, -522, -1187, -1880?\n\"Answer: -u**3 - 2*u**2 - 614*u + 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + (-107 - -11) + 88.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 44*s + 17*s - 158417 = 0. What is the greatest common factor of s and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, -2\/7, -2, -4, 1 in ascending order.\nAnswer: -4, -2, -2\/7, -1\/20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -579*q**2 + 331*q**2 - 630*q**3 - 385*q**2 wrt q?\nAnswer: -3780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 17. Suppose 144 = 3*j + a + 2*a, 0 = j + b*a - 51. What are the prime factors of j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -615907*l**3 + 28*l**2 + 22*l + 40 wrt l?\nAnswer: -3695442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 164879011?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d - 5*d)*((-d**2 + 0*d**2 + 0*d**2)*(0 + 1 - 3) + 16 - 16 - 3*d**2).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 47. Calculate i(-36).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(22\/(-44)). Let n(m) = -m**3 - 3*m**2 - m + 2. Let f be n(-2). Put -3, f, p in ascending order.\nAnswer: -3, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -44*y**2 - 14*y + 20. Let k(j) = 9*j**2 + 3*j - 4. Let g(r) = -14*k(r) - 3*l(r). Calculate the least common multiple of 10 and g(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 227 + -251. What is the remainder when 96 is divided by (-42)\/4*h\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-588)\/33) - (-9)\/(-63)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/7, 0, 1\/2, -0.3 in descending order.\nAnswer: 1\/2, 0, -0.3, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38229.\nAnswer: 3, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 317 = -144*i - 398 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/(v\/(v*v**(-2\/13))))\/((v**(-7)\/v*v*v)\/v**(1\/6)) assuming v is positive.\nAnswer: v**(859\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100310020021 (base 4) to base 7.\nAnswer: -52315531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 - 2*m**3 + 10*m**2 - 7*m**3.\nAnswer: -2*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20102*p**2*s**2*u - 200*p**2 + 3*p*u + 5*s**2*u + 6*s**2 + 2*s*u - 2*s + 4*u + 1696 wrt p?\nAnswer: 40204*p*s**2*u - 400*p + 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 8*w**2)*(-13*w - 271*w**3 - 6*w + 272*w**3).\nAnswer: 8*w**5 - 152*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 410 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 135688824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w = -1442981. Let s = w - 454525. Let y = s - 628456. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1691813.\nAnswer: 8\/1691813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.7284 + 4.097. Let i = h + -0.309. What is i rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 - -101. Let x = 2 - 0. Suppose 5*t - 66 = -3*f, 65 + 1 = m*t - x*f. What is the remainder when 42 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*w - 2870 = 2*w, -5*s - 5*w = -3625. Suppose -2*h = -8*h + s. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 4*k + 14*g - 68584, -4*g - 171466 = -10*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -776 + 755. Which is the biggest value? (a) 0.2 (b) -43 (c) 0.4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 0*b**2 + 4\/105*b**6 + 1\/14*b**5 + 0*b**3 - 5*b + 0 + 1\/42*b**4. Determine m so that x(m) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(120) + sqrt(30))*5)\/(sqrt(10)*2*-5).\nAnswer: -3*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18614717.73 nanoseconds to weeks.\nAnswer: 0.000000030778303125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**4 + 76*d**3 + 292*d**2 + 132*d - 504 = 0?\nAnswer: -14, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, 1, 8.59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/(16\/2064). Let x = 124 - 175. Let t = x + u. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.116 + 0.016. Put 0, 3, i in decreasing order.\nAnswer: 3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.102 + -36. Let m = 0.002 - f. Put -1\/2, -4, 0.3, m in descending order.\nAnswer: 0.3, m, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 142, 188, 230, 268?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 8) to base 12\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8 + 4*f**3 - 2*f**3 - 3 + f**2 - 3*f**3. Let x be (0 + (-2 - -2))\/2. What is the remainder when 14 is divided by o(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -19, 3\/10 in increasing order.\nAnswer: -19, -15, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -23*w**2 + 0*w + 0 + 1\/12*w**6 + 0*w**3 - 1\/2*w**5 + 0*w**4. Find the third derivative of d(h) wrt h.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -135*r**5 + 576*r**4 - 843*r**3 + 402*r**2 + 96*r - 96 = 0.\nAnswer: -2\/5, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*h + 1, -7 = h + 8*b - 11*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2 + u + 3. Let b(a) = -1. Calculate -6*b(c) - 2*o(c).\nAnswer: -18*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4773, 37905, 127587, 302019, 589401, 1017933?\n\"Answer: 4700*y**3 + 75*y**2 + 7*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(26\/9)\/z*z)\/(z*z**(-38)\/z))\/((z*z\/(z*z**(-5\/3)\/z))\/z**(-6\/17)) assuming z is positive.\nAnswer: z**(5794\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249541984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -2*m + 71, -3 = 2*m + r + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 0*h - 3*h**2 + 7\/60*h**4 - 8\/15*h**3 + 1\/150*h**5 + 21. Let r(v) = 0. What is v?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1431 and 23532?\nAnswer: 211788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:36 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -25 - -7 - (-23 - -2)) + 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/4 - 147301*w**2\/4 - 3131911*w - 6116519 = 0.\nAnswer: -83, -2, 147386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 23*s + 48. Let w be r(-11). What is the highest common factor of 1100 and w?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 471 + -183.2. Let l = q + -289. Which is the closest to 2\/5? (a) 0.4 (b) -5 (c) -3\/8 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 2*z - 1. Let s be r(-3). Let b be (10\/(-2))\/(s - 3). Solve -u + b*u - 4*o + 28 = 0, -19 = 5*u + 3*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/141 and -53\/376.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 737\/170 + -72\/17. Let j = 0.2 - 0. Sort -1\/5, 2\/13, j, k in descending order.\nAnswer: j, 2\/13, k, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332668 is divided by 277.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0356266 - 0.010365. Let x = g - 0.0253. Round x to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 11 - (-52 + 48).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 1. Suppose -2 = 3*d - 5*d. Let o be u(d). Let i be 1\/4 + 21\/(-12). Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11922 + 7739 - 36502 = -103*x. Let l = 217 - -178. Is l less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94187.6 times 0.15?\nAnswer: -14128.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -2 (c) 0.5 (d) -11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r**2 + 4*r**2 + 33*r - 18*r - 14*r.\nAnswer: 26*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 10*h**2 + 5*h - 22. Let n be m(5). Let y(k) = -6*k. Let d(q) = 5*q. Determine n*d(j) + 2*y(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94\/7 - -2141\/161. Suppose -s - 32 = -5*s. Let z = 7 - s. What is the third biggest value in z, -0.1, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001 + -102120110?\nAnswer: -102212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77772 (base 8) to base 14.\nAnswer: -bd22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-15)*-6)\/((-1)\/5). Solve -2*n + 7 = -u, 3*n + 2*u + b*u - 27 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*t - 0*t. Suppose 5*d + 2*l - 35 = 0, 4*d + l - t = 2. Which is the closest to 0? (a) d (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 98.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1249722903 take away 0.3?\nAnswer: -0.4249722903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/9 - 96\/(-2). Let g be 30\/(-14) + 7\/p. Which is the second biggest value? (a) g (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -159 and 71233.\nAnswer: 71074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1245, 1216, 1189, 1164, 1141, 1120, 1101?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 441, 883, 1327, 1773, 2221?\n\"Answer: k**2 + 439*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/55 + -161\/110. What is the second smallest value in 438\/5, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -545, -488, -199, 400, 1387, 2840, 4837?\nAnswer: 7456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -3*sqrt(104) - sqrt(104))*4)\/(sqrt(8) + (sqrt(280)\/sqrt(7))\/sqrt(5)) - (4 + (sqrt(1573) + 0 + 0 - (sqrt(1573) + sqrt(1573)*-1*-6))**2).\nAnswer: -56632 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 + 10\/(-2) + -7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*i - 3 = -24, -2 = 5*n + 4*i. What is the first derivative of 0 + 1 + 4*t**3 - n*t**3 - 4 wrt t?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**3 + 7879*j**2 + 52994*j - 13741 = 0.\nAnswer: -1963, -7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-21 + 5) - 17?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2, -4*y + 7*x - 16*x = 22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1765, 1916, 2149, 2458, 2837, 3280, 3781?\n\"Answer: -y**3 + 47*y**2 + 17*y + 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 21 = 4*a, -a - 2 + 26 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23715 a multiple of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30224010 (base 5) in base 10?\nAnswer: -242380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.1 + -0.1?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 + 126 + 18*p**2 - 273 - 35*p**2 + 21*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 0*z + c + 13, 5*z = -4*c + 11. Suppose 2*y - z*g - 1 = 0, 2*g = y - 0*g + 1. Calculate the greatest common divisor of y and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186711 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190*h + 37*h + 139*h)*(2 + 2 - 5)*(2*h - 6*h + 2*h).\nAnswer: 732*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*sqrt(448)*2 + sqrt(448) - sqrt(448)) + (sqrt(448) + sqrt(448) + -1 + -1 - (-1 + sqrt(448) + -1)))**2.\nAnswer: -64*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 1 k when three letters picked without replacement from kqiiqkqmkiqkxiqqq?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 6. Let k be y(6). Is k < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13952*l - 27823. Calculate v(2).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -83*v + 87*v - 63, -2*j - 20 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1282.06 to 0 decimal places.\nAnswer: -1282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4851*v**2 - 4779*v**2 + 10*v**3 + 12*v**3 + 9461*v**2.\nAnswer: 22*v**3 - 169*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-37)\/(-4) - (-2)\/(-8). Let i be 1\/3*(c + -3). Let r(x) = 2*x + 1. Let y(t) = 9*t + 8. Let h(o) = -5*r(o) + y(o). Determine h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3132350394239 + -0.49\nAnswer: 3132350394238.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 2*v**7\/15 - 37*v**6\/30 - 32*v**5\/15 + 2*v**4 - 355*v**2. Find f such that d(f) = 0.\nAnswer: -1, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/(-6) + 0 - (36 - 40). Which is the nearest to -1\/3? (a) -2\/7 (b) i (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-4\/7))\/f**(-3\/10))\/((f**38\/f)\/f**(-31)) assuming f is positive.\nAnswer: f**(-4709\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*f - 12, 3*y - 2*f - 5 = -3*f. Let w(m) = -16*m**3 + 9*m**2 - 12*m - 5. Let j(v) = 4*v**3 - 2*v**2 + 3*v + 1. Determine y*w(g) + 9*j(g).\nAnswer: 4*g**3 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**3 - 4*y**2 + y - 6. Let h(k) = -k**3 - 17*k**2 - 42*k + 6. What is the smallest common multiple of l(2) and h(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 502068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -29149 at least -29150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -442310242 (base 5) in base 8?\nAnswer: -7236642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 16 = 5*u. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 + 5*r + 20. Let f(w) = -w**3 - 3*w - 10. Let s(o) = -5*f(o) - 3*n(o). What is the first derivative of s(q) wrt q?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1539373 divided by 11.\nAnswer: -139943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q**8\/q))\/(q*q*q**(3\/4)*q)*(q\/(q*q*q**(-2\/3)))\/q*q**(-2\/3))\/((q*q**(-2\/13))\/q**(3\/5)*(q\/(q*q**(1\/2)))**34) assuming q is positive.\nAnswer: q**(1561\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.99999892. Round l to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 80. Let u(j) = -j. Let s be u(-5). Suppose s*r - g = r. Calculate the remainder when 8 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + 126. Let p(v) = -115 + 112 + 11*v - 4*v + u*v. Does 41 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227 + -182. Let s(c) = 2*c**3 - 2*c**2 - 2*c - 1. Let a be s(-2). Let j = a + k. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + i + 1. Let y(m) = 4*m**3 + m**2 + 15*m + 18. Let f(w) = -3*u(w) - y(w). What is the remainder when f(-6) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 19 in ascending order.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 884884.\nAnswer: 2, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*v - 41 + 356 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/(-10) - (-2)\/5. Let y(a) = 2*a**2 + a - 3. Let o be y(-3). Calculate the highest common divisor of q and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.6 + 10.9. Let h = 21.3 - 24. Let g = y + h. What is the smallest value in -1, 0, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 3\/2 (b) 5 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 29 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - (-4 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -489 * -6\nAnswer: 2934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 627167323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 83.\nAnswer: 3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000000101010011101100010 - -11?\nAnswer: 1100000000101010011101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 346795104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 65*c**9\/72 - 4*c**5 + 9*c**2 - 6. What is the third derivative of h(y) wrt y?\nAnswer: 54600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17012073539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.244 (b) 2 (c) -3\/2 (d) -147 (e) 3 (f) -1 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421*l = -3*r - 425*l - 17, 36 = -5*r + l. Let d(b) = -11*b**2 + 11*b - 3. Let n(s) = -5*s**2 + 5*s - 2. Determine r*n(t) + 3*d(t).\nAnswer: 2*t**2 - 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 3:04 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 617889385 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 362 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173643, 173647, 173651, 173655, 173659, 173663?\nAnswer: 173667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.056\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(7) + 1 - sqrt(7)) - sqrt(7)) + sqrt(7) - (sqrt(77)\/sqrt(176) + sqrt(7)).\nAnswer: -5*sqrt(7)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + 3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752 = i - 63. Suppose 0 = a, i = 5*v + 5*a - 4*a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -386307?\nAnswer: 19\/386307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 2) + -6 - 212. Let y = -1493\/7 - d. Which is greater: y or -0.78?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 9. Let b be t(9). Solve b*r - 3 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, f: 4, w: 2, y: 1, h: 1}. What is prob of picking 1 w and 2 f?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1424*q + v = 1426*q - 63668, v - 31840 = -q. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3 + 398*c**2 + 404*c - 800 = 0.\nAnswer: -2, 1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:05 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (49\/(4116\/5656))\/(16\/(-6)) and (31\/89)\/(2\/3).\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 + m**2 + m. Let s be d(-1). Let p(n) = n**2 + 9 - s*n - 5 + 0*n. What is the units digit of p(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**3 - 6180*q**2 - 3182700*q - 546363500 = 0.\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*f - 27, -2*x - 5*f = -15 + 6. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742287257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52 - -13?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 537195 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 9. Let h(g) = g**2 - g + 154. Let w be h(r). Suppose -5*m - 80 = -5*i, 5*m + 74 = 5*i + 3*m. Calculate the greatest common factor of i and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, y: 2}. Give prob of picking 3 t.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55125 or -55138?\nAnswer: -55138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + (-65 - (5 - 1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115565*b**2 - 69909 + 69909.\nAnswer: 115565*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25712248*m**3 - m**2 - 226*m - 5205?\nAnswer: 154273488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 157, 200, 263, 352?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**3 - 5*d**2 - 2*d + 4. Let p be k(-2). Suppose p*b - b - 242 = 0. Solve 4*z = f + 3, -5 = -4*z + 5*f - b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 4*g**2 + g**2)*(418*g + 594*g - 2*g**3 - 595*g + 1197*g + 1).\nAnswer: -10*g**5 + 8070*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(209) + (sqrt(209) - sqrt(209)*3*6) + sqrt(209) - -5*-1*sqrt(209))\/((sqrt(77) + sqrt(77) + 2*-2*sqrt(77) + sqrt(77))\/(1*sqrt(567))))**2.\nAnswer: 1080*sqrt(19) + 615609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*1\/(-1)*(-1568)\/14.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(8 - (2 + 7)). Let b(w) = 5*w + 2. Suppose 7 = 2*o - z, 6 + 7 = 2*o - 3*z. Let h(n) = 26*n + 11. Determine o*h(a) + s*b(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 15 (b) -0.5 (c) 1.9 (d) 4\/3 (e) 18.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4202 + 4423. Solve 211 = 5*k + m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1278648 and -121\/4284.\nAnswer: 21737016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45318303 and -3.\nAnswer: -135954909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**28\/(j**(12\/5)*j) assuming j is positive.\nAnswer: j**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 - -1.1. Let t = -5.8 - -2.1. Let x = o + t. Which is the nearest to 0.1? (a) -1\/2 (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*q - v, -5*v + 0 + 19 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*q + 28994, 2*p + 0*q = q - 11598. Is (p\/13)\/(-1 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 15. Let n(i) = -3*i. Calculate u(n(v)).\nAnswer: 6*v + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 46*s - 41*s - 21, 4*i + 3*s = 23. Solve -4*f + 2*g = 0, -25*f - i*g = -22*f + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5)*(3*k**2 + 4*k**2 - 4*k**2).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 7*p**2 + 10*p + 10. Let v be y(8). Calculate the greatest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 15. Let t(w) = -1347*w - 183. Give 12*r(g) - t(g).\nAnswer: 1299*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zaazzazaaazaazzazaza. Give prob of sequence aaa.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/3 - 46*p**4\/3 + 182*p**3\/3 + 2*p**2 - 264*p + 216 = 0. Calculate p.\nAnswer: -2, 1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 86461?\nAnswer: 86468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*t**(2\/121))*t**(1\/30)*(t\/(t\/(t*t**(-17))))\/(t\/t**(1\/5)) assuming t is positive.\nAnswer: t**(-64553\/3630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + 44. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007*-2892.5.\nAnswer: -20.2475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 639 + w**2 + 445*w - 639 in the form a + c*w + r*w**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-10) - ((-1521)\/126 + 9)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*w + 2675 = 6909 + 6757 + 1941 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2501 + 6*w**3 - 923*w**2 + 266*w**2 - 228*w**2 + 214*w**2 wrt w.\nAnswer: 18*w**2 - 1342*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/1343 + -149163\/13430. Let m(z) = -32*z**2 - 8*z + 15. Let c be m(-8). Let d = -19671\/10 - c. Find the common denominator of d and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**2 + j. Let z be d(1). Let w be (2\/z)\/(3\/21). Let q be (14\/(-6) + w)*-6. Solve 5 = -3*t + q*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 2. Let s = -8 + l. Let d = s + 20. Solve 2*x - 23 + d = 5*k, -3*x - k = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, j: 1, r: 2, v: 1, m: 2, k: 1}. Give prob of picking 1 g, 1 k, and 1 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjhjjjjjhjjhjjhjj. Give prob of picking 3 h and 1 j.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1750 and 10075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185869.\nAnswer: 185869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 474\/(-395) + (-1)\/(-5). Which is bigger: l or 20\/41?\nAnswer: 20\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -355*o**3 + 10*o**2 + 34*o - 97. What is the hundreds digit of f(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + 0 + 1 + sqrt(500) + 3)**2 + 1)*-6*-4.\nAnswer: -27864 - 8640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n + 19*n + 6*n to k*n + z and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1526\/97775 or 0?\nAnswer: -1526\/97775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.4 - -0.4. Let l be 4 - (85\/25 + (-2)\/5). What is the third smallest value in o, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/60 - v**4\/24 + 7*v**3\/6 + 147*v**2. Calculate the least common multiple of x(5) and 174.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 200102022?\nAnswer: -200102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - 4) + 8 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/(37\/(-5) + 1) and (-13)\/5*(2175\/(-220) - -10).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6 < 818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -703*i**4 + i**3 + 2736?\nAnswer: -2812*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**3 + 54*a**3 + 100*a**3.\nAnswer: 126*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5397883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -6 (c) 1\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, d: 12, n: 3}. Give prob of sequence xd.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52630187?\nAnswer: 23, 1483, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**42 assuming u is positive.\nAnswer: u**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5*349.26\nAnswer: 1746.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*m + 21, -2*d - 3*m + 237 = 288 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 + (-4)\/(-14). Suppose 2*q = -4*m - 2*q, 4*q + 12 = 0. Suppose 5*k + 0*k = m*j - 102, y = 5*j + 3*k - 204. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 219 + 174 = 0. Suppose -44*r = -52*r + 24. Solve y*f = 15, 5*a - f = 3*a + r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q**4 + 1343*q**3 - 12442*q**2 + 1120*q = 0. Calculate q.\nAnswer: 0, 1\/11, 10, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - -6*sqrt(198)\/sqrt(6))\/((sqrt(42)\/sqrt(2))\/sqrt(7)).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = o - 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.03101\nAnswer: 0.09303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8380)\/(-70) - 6\/(-21). Let w = 45 - 43. Suppose g = w*g - 48. What is the greatest common divisor of h and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21566593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*s - 88*s - 4*l - 12, l + 3 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35941.6 - 35942. Let c = -0.9 - 0.1. What is the closest to c in i, -0.01, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210 + 22010?\nAnswer: 21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42535.\nAnswer: 5, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -20. Let s = 12 + d. Suppose -111 = -s*m + 3*k, -m + 34 = -0*k - 2*k. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*i + 1006 = -1069 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/((-6)\/(-168)*4). Suppose -d + 17 = -3*i, -h*d + i = -2*d - 43. Suppose 136*j - 143*j = -7. Calculate the highest common divisor of j and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*c - 26. Suppose c*t = 153 - 3. Solve -2*w + 10 = 0, 0*w = -o - 5*w + t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -3*a + 141. Suppose 0 = -i - h - 80, -2*i - 77 - a = 3*h. Let f = -54 - i. Calculate the greatest common divisor of f and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 - 61*n**3 + 506*n wrt n.\nAnswer: 24*n**2 - 366*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 36 + 326*g + 2*g**2 + 275*g - 596*g. Let u(b) = b**2 + 3*b + 18. Calculate -3*h(y) + 5*u(y).\nAnswer: -y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 147. Let k(i) = -i + 1. Let q(z) = 3*z + 5. Let d(s) = 2*k(s) + q(s). Let h be d(5). What is the highest common divisor of h and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 165*x**2 + 317*x + 2834. Calculate g(167).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2482, -2474, -2450, -2404, -2330?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 367187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*k - 69*k - 66*k - 162*k**2 + 158*k**2.\nAnswer: -4*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -85. Calculate the highest common factor of 420 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 31572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0\/(-3))\/((-1)\/2). Suppose -b*r + 3*g = -3 - 6, g = 5*r - 16. Solve r*y - 3*t - 15 = 2*y, -4*y + 5*t = -25 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 272 = o. Let u = -48 + o. Let w = 19 - -31. Calculate the greatest common divisor of u and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4349231 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -934, -938, -944, -952, -962?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60880892*c**6 + 656*c**2 + 15641.\nAnswer: -7305707040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*z + 11. Let a = 6 - z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l = 46*l - 56. Let a(u) = u - 4. Let q be a(9). Suppose -2*w = -5*w, 5*h + w - 10 = 0. Solve -x = k + q, x = -h*k - 0*x - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from eeegduggeeddedgn?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + 7*o**3 - 6*o**3 - o**3 - 33*o**4 with respect to o.\nAnswer: -132*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*y**5 - 1826881*y**3 - 282081376*y**2 wrt y.\nAnswer: 6360*y**2 - 10961286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckn when three letters picked without replacement from kkkgkncgyccncc?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 21\/2*t**3 + 83\/2*t**2 + 5\/6*t**4 + 265\/6*t - 25 = 0.\nAnswer: -5, -3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 + 527*z**2\/5 + 65134*z\/5 + 372048\/5.\nAnswer: (z + 6)*(z + 184)*(z + 337)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - 9)*(1 - 237\/9). What is p rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + j - 1. Let p be 1288\/(-20) + (-9)\/((-180)\/8). Let y be 20\/25*(-310)\/4. Let q = p - y. What is k(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 + -19?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - -2 - 9) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.260447 seconds to hours.\nAnswer: 0.0086834575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/22941 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544732.4ml to litres.\nAnswer: 544.7324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.09 - -8.5116?\nAnswer: 9.6016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 - 2*q**2 + 2*q**2)*(5*q - 6*q + 2*q) + (-q**2 + 5*q**2 - 2*q**2)*(0*q + 2*q - 3*q) + (0*q**3 - 2*q**3 + 7*q**3)*(5 - 6 + 4).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 7964.\nAnswer: -31856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25*1\/(-10))\/((-3)\/(-6)). Solve b = m*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - s + 23 = 0, 30 = -4*h - 9*s + 4*s. What is the smallest value in 1\/12, h, 0.1, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.3. Let o = -1 - -1. Which is greater: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 273*l**2 + 845 + 186*l**2 - 844 - 2*l**4 - 4*l to n*l**4 + z*l + w*l**2 + i + u*l**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from impi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h. Let l(g) = 2*g**2 - 2*g - 1. Let y be l(2). Let t(q) be the first derivative of 0*q**y + 1 - q**3 + 2. Give i(t(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(3\/(-18)*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((5 + (-2 + sqrt(539) + -3)*-6*-6)*-4)**2.\nAnswer: -1411200*sqrt(11) + 11666701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 5*w, -2*z + 2 = 8*w - 4*w. Solve 8*y + 10 - 34 = w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5925 = -2001. Let k = c + -611. Let m = k + -21607\/16. What is the common denominator of 77\/16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 + -6.1. Let a = -288.8 + 288.5. What is the smallest value in a, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 340, 386, 432?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 1339968?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3987*h - 842*h = 2236 + 79534 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g - 4. Let j(z) = 1. Let c(t) = -f(t) - 10*j(t). What is the first derivative of c(n) wrt n?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24565*p**3 - 611235*p**2 - 5069655*p - 14016105.\nAnswer: -5*(17*p + 141)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*t + 21 = 0. Calculate the lowest common multiple of 5 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*w + w + 804, -w = 5*k - 2010. Suppose 0 = -2*x + k + 400. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 6395 = -3496. Suppose -915 - p = -2*t. Suppose 5*x - t = x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-220)*(-16)\/(-12).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/68)\/((-1)\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 7a?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 3:06 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10584 and 66015936?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**4\/4 - 8*v**3\/3 - 7*v**2\/2 - v - 1. Is b(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((35\/(-357))\/5*6\/2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*u - 52 = 591*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -37*g**3 - 12*g**2 + 34*g - 24. Give j(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3024) - sqrt(3024)*2)*-5)\/((sqrt(84)\/sqrt(2)*-6)\/(1*sqrt(864))).\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -2\/7 (c) 228 (d) -1054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20, -46, -82, -122, -160, -190, -206, -202?\n\"Answer: d**3 - 11*d**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 2. Let h be l(-2). Let y(c) = 11*c**3 + 23*c**2 + 18*c + 18. Let w(s) = 4*s**3 + 8*s**2 + 6*s + 6. Let d(v) = 8*w(v) - 3*y(v). Determine d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002105431 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {r: 1, k: 3, q: 5, y: 4}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -176, 133\/6, 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 10. Let a be n(10). Suppose 2*o = -a*o + 12. Calculate the highest common divisor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165 is divided by 318?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-11 - -13)) + 17 + (9 - (1 - 0)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4\/5))\/(g\/g**(-5)) assuming g is positive.\nAnswer: g**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. Suppose j*n - 12 = 2. What is the remainder when 12 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (12 + 1 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*t = -73. Are 72 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 777*x - 776*x - 6, 11*q = x + x + 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/12 - f**3\/3 - 3*f**2\/2 - 4*f + 74. Let j(s) = -s**2 + s + 1. What is -g(h) - 3*j(h)?\nAnswer: 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u - 12 = 0. Let v = 20 - 18. What is the least common multiple of -1 + v + (-4 - u) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5418 and 43?\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**2 + 10*w - 8. Let x = -1 + 9. Let p(v) = -2*v**2 + 3*v - 3. Let f(n) = x*p(n) - 3*t(n). Find the second derivative of f(c) wrt c.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -931, -911, -891, -871, -851?\n\"Answer: 20*o - 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 0.1, -5, -94, 9\/20, -1\/3?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5.4. Which is the biggest value? (a) -0.4 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j - j + 5*j**2 + (-2*j + 3*j + 0*j - 2)*((3 - 6 + 2)*(0*j + j + 0*j) - 5*j + 4*j - j)*(-1 + 2 + 0) in the form a + i*j + b*j**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1230, 4908, 11038, 19620, 30654?\n\"Answer: 1226*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592*f + 12925 - 30500 = 51555 + 5694 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88040 - -15?\nAnswer: -88027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73241.4 - 73243.518012. Let f = -1.81801 - a. Let j = -0.3 + f. What is j rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1826 rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 95. Calculate r(0).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.8467 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 + 2548*u**2 + 37738*u - 40288 = 0. What is u?\nAnswer: -1259, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 12*y**2 - 14*y - 27. Does 12 divide t(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = l - 213, 4*l + 779 = 5*n - 322. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 2, j: 1, e: 2, w: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 718.7252t in grams?\nAnswer: 718725200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(3\/20)*y**3*y*y\/((y\/(y\/(y**(-4)*y)))\/y)*(y**(-1)\/y)**(2\/11)\/(((y*y*y**(1\/3))\/y)\/y*y*y\/(y\/y**7)) assuming y is positive.\nAnswer: y**(499\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55994 divided by 55994.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 0*o + o - 2*o - 4664*o**2 + 4665*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78123*b*w**2 - 233*b*w + 2*b - 243342*w**2 + 132*w wrt b.\nAnswer: 78123*w**2 - 233*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9147.703ml?\nAnswer: 9.147703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49.9 in 3.3, -4, -2\/2071, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1000920.3084 to the nearest ten.\nAnswer: 1000920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-9) + 495\/135?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 56*v + 2*v**3 - 3*v**3 - 57*v + v**2. Let w(d) = -4*d**3 + 5*d**2 - d. Let x(u) = -4*o(u) + 4*w(u). What is the third derivative of x(l) wrt l?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*s - 35, 3*x - 15 = -s - 25. Put 3, 2, 368, s in decreasing order.\nAnswer: 368, s, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7529 + -3940. Let h = t - 3588.98417. What is h rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.47 + -0.94. Let o = d - 0.63. Which is the third biggest value? (a) -0.5 (b) -2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322733921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-14 - -14) + -26 + -20?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x - 38. Let u be l(-4). What is the biggest value in u, -2, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 - x**2 + 13*x + 3. Let f(s) = s**3 + 2*s + 1. Give 6*f(v) - r(v).\nAnswer: 2*v**3 + v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -430*h**3*m*z + 19*h**3*z - 16206318*h**2 + 67*m*z - 82*m wrt m.\nAnswer: -430*h**3*z + 67*z - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1678*v - 6 = 1679*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*t - 14, -4*x + 2*x - 4 = -3*t. Let g be (x - 3)*(-1 + 0). Suppose 2*i + 2*d + 6 = -g*d, -5*i + d + 29 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110111110110101 - -1101010?\nAnswer: -101110111101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 2*m + 5*m + 3 - 2*m - 3 + (2 - 2 - 1)*(2*m + 3*m - 6*m) - 65 - 59*m + 130 - 64.\nAnswer: -56*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**2. Let q(v) be the third derivative of v**5\/20 - 8*v**3\/3 - 68*v**2. Let o(c) be the first derivative of q(c). Determine n(o(x)).\nAnswer: 288*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 3*k + 942. Let c be w(0). Let x = 1228 + c. What is x rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrbrbdrbrd. Give prob of sequence db.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11195464?\nAnswer: 2, 7, 31, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 20, -10*h + s - 47639 = -15*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - z - 5. Let m be r(4). Let s = -128 - -132. Suppose 0 = s*u + 10 - 46. Solve u*w = m*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.07 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -4 - (-24 + -3). Let c = -73\/3 + i. Let w(v) = 2*v - 1. Let j be w(-1). What is the closest to 2 in j, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 107 = -7. Let d = z + 43. Suppose -3*t - 14399997 = g, d*t = 3*t + 4*g - 9600012. Round t to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852 = 2*a - 0*a - 5*t, 0 = 4*a + 4*t - 1704. What is the second derivative of 32*z - 305*z**4 + 31*z + a*z**4 wrt z?\nAnswer: 1452*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**4\/12 - 2*z**3\/3 + 2*z**2 + z - 4. Let x(p) be the first derivative of w(p). Suppose x(h) = 0. What is h?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, x: 3, w: 3, y: 5, s: 5, a: 1}. Give prob of picking 1 w, 1 s, and 1 x.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 960?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-31 - 47) - 31.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is (8708\/(-2898))\/(2\/6) - (-306 + 297)?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 258714*m + 956. Let f be n(1). What is f rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5 and -2 + -2 - ((-8044)\/656 - -8).\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*m + 65*m = -54 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 = 3*n, -3*z + 4*n - 2 = -z. What are the prime factors of 104\/18 + 2\/z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 2855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -1098, 2, -1\/12, -0.3, 3 in descending order.\nAnswer: 3, 2, -1\/12, -0.3, -0.9, -1098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*o = -4, 3*y - 4 = 2*o - o. Let t(z) = z**2 - 2*z. Let f be t(2). Let x be y + 0\/(-2) + f. What is the greatest common divisor of 14 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5225777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 321*d - 190*d - 6 - 193*d as z*d + h and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3804.9 rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (3 + (-8)\/2). Suppose f*x - 13 = -5. What is the highest common factor of 36 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*x + 61*x - 83*x + 117 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.215727 to three dps.\nAnswer: 0.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37764573+-130\nAnswer: -37764703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/30 - -2)\/(1\/(-3))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from rrrrrrrbrrrr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*4\/28*-6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f = -c - 10, 2*f + c = 0. Let x(o) = 923*o**3 - 1852*o**3 + o**2 + 927*o**3. Let k(b) = 1. Calculate f*k(v) + x(v).\nAnswer: -2*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (5 - 3)) + -5 - (32 + -42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k**(-10)*k)\/k)\/k)**(-2\/83))**(-43) assuming k is positive.\nAnswer: k**(-860\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13775600 rounded to the nearest 100000?\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-10)\/4 - -1). Let l = 1 - z. Find the third derivative of -7*k**l + 2*k**5 - k**2 + 7*k**3 wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**5 + 45*r**4 + 108*r**3 + 81*r**2.\nAnswer: 3*r**2*(r + 3)**2*(2*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k + 0*k**2 + 1\/3*k**3 + 1. Let l(a) = -4*a - 2*a + 0*a - a - 2*a. Give l(b(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.11, -5, -2, 0.3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - d**2 - 1. Let h(c) = 12*c**3 + 5*c**2 + 3*c + 2. Give -h(k) - 2*l(k).\nAnswer: -10*k**3 - 3*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -251*f + 242. Is g(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011101211120 (base 3) to base 7.\nAnswer: -5152650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -199*k - 4. Let m(y) = -100*y - 2. Determine -5*m(j) + 2*p(j).\nAnswer: 102*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 8*j - 24. Let n be w(10). Let g(o) = o - 9. Let p be g(7). Let z(r) = -r**2 - r. Let a be z(p). What is the second smallest value in a, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 0*v - 3*v)*(-v**3 - 2*v**3 + 0*v**3)*(6 + 3 - 6 + 7).\nAnswer: -30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29648 divided by 4?\nAnswer: -7412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14295966, -14295967, -14295968, -14295969?\nAnswer: -14295970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let y = 0 - o. Which is the closest to -1? (a) -1 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c49 + -b?\nAnswer: -1c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 4*n + 252. Let q be a(-18). Sort 0.1, -0.2, q, -2\/11, 32 in decreasing order.\nAnswer: 32, 0.1, q, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*t + 298 = 867 - 1934 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 4*v**2 - 4*v + 11. Let o be y(-5). Suppose b + 20 = o*b. Solve -b*u = -4*r + r - 17, -u = 2*r - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -29.5?\nAnswer: -2.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 2*z**2 - 28*z + 15. Calculate u(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16932)\/42840 + -2*(-9)\/42. Let i(s) be the second derivative of -1\/9*s**3 - 5\/36*s**4 + 0 + w*s**5 + 8*s + 0*s**2 + 1\/18*s**6. Factor i(l).\nAnswer: l*(l - 1)*(l + 1)*(5*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 7 + 12\/3 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21949057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 6*y + 14*y)*(-3*y + y + y)*(-3 + 4 + 1).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) + 162\/21. Is (z\/12)\/(12\/6354) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 4.7. Let o = -87 - -83. What is the closest to 2\/3 in 4, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210012211212 + 11?\nAnswer: 210012212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -5)*2\/(-4). Let m(g) = -8*g - 6*g**k - 2*g + 4*g - 2. Let r(y) = 5*y**2 + 2*y + 3*y + 2 + 0. Give 6*m(b) + 7*r(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.6 - -11.8. Let m = o + -3.2. Let s = 8 - 13\/2. Which is the nearest to 3? (a) s (b) -2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4322 (b) -0.4 (c) -6\/13 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30439, -59998, -89557, -119116?\n\"Answer: -29559*m - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 853 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 - 15)*(-341444)\/10. Let u = 270719 - f. Suppose -2*l + 3*z + 49991 = 0, z = -0*l + 4*l - u. What is l rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50407.94l to millilitres.\nAnswer: 50407940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6093238, -6093217, -6093196?\n\"Answer: 21*l - 6093259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, c: 15}. What is prob of sequence qcc?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 49*a + 649. Let f be h(-13). Solve -7*d = -f*d - 5*r - 15, 3*r + 3 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118676 = 41*s - 18869 - 47693. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g + 8 + 26*g + 26 + 4*g.\nAnswer: 53*g + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3397 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19681 <= 19683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -0.0911, 452, 0.34 in descending order.\nAnswer: 452, 1, 0.34, 0, -0.0911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a factor of 23507081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/((-1)\/(-6)). Let v(n) = n**2 + 3*n - 2. What is the units digit of v(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnl when three letters picked without replacement from {l: 2, q: 1, b: 1, n: 1, d: 1, s: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13457.558 rounded to the nearest 100?\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 f when three letters picked without replacement from {c: 2, b: 5, f: 3, t: 1, p: 1, h: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -63*s**3 - 8*s**2 + 9*s - 18. Let v be o(-8). Round v to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/2 - 567*v**2\/2 + 35721*v\/2 - 750141\/2.\nAnswer: 3*(v - 63)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160243 is divided by 313.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 10. What is b(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 307 or 1901?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkttqqqtqqtqtett. Give prob of sequence qet.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 = -d. Suppose 0 = -3*w - 2*g - 8, -2 - 11 = d*w + 3*g. Let b be (1 + 0)*(w + 2). Solve 5*y + b*p + 13 = p, -3*y = p + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01382 - -2728\nAnswer: 2728.01382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l - 18. Calculate the least common multiple of j(15) and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117*a + 122*a - 55*a**4 + 42 - 239*a wrt a?\nAnswer: -220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:00 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4092 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: Suppose -29 = -b - 4*q, -3*q + 8*q = -2*b + 49. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9952, -9956, -9932, -9856, -9704, -9452?\n\"Answer: 4*t**3 - 10*t**2 - 2*t - 9944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 16, m: 2}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -13*b**7\/70 + 11*b**3\/6 - 165*b**2\/2 + 135. Let r(o) be the second derivative of h(o). What is the derivative of r(p) wrt p?\nAnswer: -156*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgggtgtggtggttgggtg. Give prob of picking 4 g.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14985, -14989, -14979, -14949, -14893, -14805, -14679?\nAnswer: -14509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2509098 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2663 + -32?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6116791403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 384\nAnswer: -23\/384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-2890)\/(-6))\/17)\/(-5*5\/(-30))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 269, 406, 543, 680, 817?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88900978*y**5 - 74099247*y**2.\nAnswer: -5334058680*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 2. Let q be (-15 + 9)*9\/(-1). Let n be (-2)\/3*q\/12. Determine d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2659798, 2658963, 2658128, 2657293?\nAnswer: 2656458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -72) + -27 - (-3 + -20)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(11\/5)\/(s\/s**(-6)) assuming s is positive.\nAnswer: s**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -59, -256, -607, -1124, -1819, -2704?\n\"Answer: -2*y**3 - 65*y**2 + 12*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1796, -3617, -5466, -7349, -9272, -11241?\nAnswer: -13262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1078\/33*(1 + 87\/21). Suppose 171*s = w*s + 9. Solve 0 = 5*m + 3*g - 10, 0*m + m - s*g - 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 224875, 449748, 674621, 899494?\n\"Answer: 224873*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Let h(a) = -2*a**2 + 3*a + 4. Let l be h(y). Let f be l\/(-9) - 2\/(-9). Solve -2 = -q + f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24436 (base 15) in base 13?\nAnswer: 40881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - 29.91. Let w = -30.3 - s. Let n be -1 + -1 - 12\/(-5). Which is the nearest to 1? (a) n (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, h: 5}. What is prob of picking 4 y?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*q = 212, -6*j + 4*q = -2*j - 220. What is the third derivative of 14*l**5 - 18*l**5 - 37*l**3 + 19*l**3 - j*l**2 + 207*l**2 wrt l?\nAnswer: -240*l**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: Let n(s) = 2*s**3 + 2*s**2 - s + 1. What is n(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3*(-31 + 19) + 7833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose 5*f = -3*y, 28 = -f + 3*y + 2*y. Let x be (f + a\/2)*-6. Calculate the greatest common divisor of x and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5199548 decades to millennia.\nAnswer: 0.005199548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -964*i + 232*i + 235*i + 218*i + 246*i.\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20518751 to the nearest integer?\nAnswer: 4530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 32 (c) 212 (d) -13 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1521352?\nAnswer: 2, 7, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -11. Suppose -r*a + 12 = 2*v - 2, 2*a - 24 = -4*v. Is a less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-2) + 41525\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20075158, -20075172, -20075196, -20075230, -20075274?\n\"Answer: -5*p**2 + p - 20075154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*o + 392 + 636, -7*o = -3*z - 2340. What is the greatest common divisor of 147 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 - 3*s**2 + 3*s. Let v(g) = -3*g**3 + 5*g**2 - 5*g. Suppose -12 = -6*r + 8*r. Calculate r*v(y) - 10*t(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 146*s + 2117. What are the prime factors of n(138)?\nAnswer: 101, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*d**3 - 8*d**2 - 1740?\nAnswer: 120*d**2 - 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -144 + 201. Let t = f + -41. Calculate the smallest common multiple of t and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmdfffzofdobmo. Give prob of sequence ozm.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 33 - 90 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 2:44 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10654575 and 39066775.\nAnswer: 117200325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p = 16*p. Suppose -s + p*k - 3*k + 10 = 0, 0 = -2*s + k - 1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 5*s + 39, 40*s = 9*q + 45*s - 73 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 14 + 5 - ((-1 - -2) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189316 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:11 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170 - 94. Suppose 0 = s - 5*s + 8. Suppose -2*h + t = s*h. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 447 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 285421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.138, -5 in increasing order.\nAnswer: -5, 0.1, 0.138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)*v**1)**45 assuming v is positive.\nAnswer: v**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.11 and -70526.\nAnswer: -70525.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1355095\/108 + -12547. Let k = 2\/27 + o. Is k < -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -430*h. Let y(v) = 4*v**2 - 27785*v. What is q(y(j))?\nAnswer: -1720*j**2 + 11947550*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133832*n**2 + 268014*n**2 - 133913*n**2.\nAnswer: 269*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89965, -90025, -90085?\nAnswer: -90145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*v - 31. Let p(a) = a**3 - 5*a**2 - 4*a - 2. Let j be p(6). Suppose -7 = 3*n - j. Sort n, -5, v in descending order.\nAnswer: v, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80159 take away 7819871?\nAnswer: -7739712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 17)*(-21)\/(-3). Suppose 4*v - 148 - f = -j, 4*v - 685 = -3*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 2274928.\nAnswer: 20474352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 + 0.2. Let x = -68 + 75. Is x <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 9*i + 24 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8085 and -0.01.\nAnswer: 8084.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + -3157.\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + -2*sqrt(136)*-4 + sqrt(136))\/(-1*sqrt(32)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7592775 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - (-2 + -3)) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 46*i**2 - 26*i. Let h(x) = 138*x**2 - 1291 + 1291 - 78*x. Let s(z) = 2*h(z) - 7*j(z). Find the second derivative of s(t) wrt t.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 1 = -11*t + 32, -3*t + 15 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/2*342\/17556*77.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 11 = -2*j. Suppose j*h - 14*h - 392 = 0. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -41, -5, 3 in decreasing order.\nAnswer: 3, 2, -2, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 888186709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*a + 931 + 1561 + 47*a + 740.\nAnswer: 15*a + 3232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (2 - (5 + -5)). Let n(c) = -2*c**2 + 6*c - 5. Let l(x) = x**2 - x + 1. Calculate g*n(f) + 5*l(f).\nAnswer: 3*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/7)\/(-130) - (5 - 41803\/4862).\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -1 (c) -558\/4747\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11220 (base 6) to base 15\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 = 209*g + 328 + 673 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (1 + 1 - 3) - 15.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13589 or -0.026?\nAnswer: -13589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13785, -29956, -46127, -62298, -78469?\n\"Answer: -16171*u + 2386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(117) + 0 - ((sqrt(117) - (sqrt(117) + 0) - sqrt(117))*-1 + sqrt(117)))**2.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 9*x + 9*x)*(-2*x**2 + 4*x - 4*x) + 58*x - 58*x + 18*x**4.\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b - 901. Suppose 0 = -5*i + 3*m + 4466, -m + b = i + m. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -6. Let u = l + 0. What is the third derivative of -3*x**2 + 2*x**6 + x**u + x**2 wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 27, 39, 51, 63, 75?\n\"Answer: 12*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjkjppkkpjppkp. Give prob of sequence jpp.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3 + 31. Suppose -3*b - 336 - 564 = 0. Let k be 7200*q\/((-21)\/b). Round k to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (576\/80)\/((-1)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575273 is divided by 191752?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, j: 2, l: 1, z: 3, b: 5}. What is prob of picking 3 x and 1 b?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 - 235 = -79*d - 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -201. Let v = -260 - -146. Let i = m + v. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -0.75. Let f = -0.45 - p. Let c = f - -0.50132. What is c rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 4, e: 1, r: 3, c: 1, o: 1}. What is prob of picking 1 o and 1 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 13) + -270 + 244.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -75148 and 4.\nAnswer: -75144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/60 + 2*z**2 - 5*z. Let x(w) = -20*w**2. What is x(j(n))?\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 864 = -3*m, 2*g = 334*m - 335*m + 570. What is the remainder when 12686 is divided by g?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + c - 19 = 0, 4*u + 16 = 5*u + 4*c. Let x = -36 - -36. Let k = 3.9 + -0.9. What is the smallest value in k, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 36*u**2 + 2*u. Let r(f) = -4*f. Calculate j(r(w)).\nAnswer: 576*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 161, 343, 607, 977, 1477?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 + -88. Let h(z) = 4 - 3 + 4*z**2 - 11*z - 6*z - 5*z**s. What is the tens digit of h(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.97 + 0.03. Let m = -0.9 + -0.1. Which is the closest to -2\/3? (a) m (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97390772, 97390767, 97390762, 97390757?\nAnswer: 97390752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 3*t - t)*((6*t + 0*t - t)*(0*t + 3*t - t) + 3*t**2 - 2*t**2 - 3*t**2)*(t + 0*t + 3*t).\nAnswer: 96*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 500760 and 88530.\nAnswer: 113672520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 31*o - 149650. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-35 - -25 - -5) - -68.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:18 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 13 - 1)*(2*b + 4*b - 3*b)*(4*b + 3*b**2 - 4*b)*(2 - 2 + b) as f*b**3 + v*b + x*b**2 + n + l*b**4 and give l.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 4831 - 4906 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + 4. Calculate the remainder when o is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 3. Let o(w) = -4*w**2 - 13*w + 9. Let v be o(-13). Let d = 500 + v. Let f(n) = -n - 1. Determine d*f(i) + r(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3171 is divided by 1057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/2 - -1. What is the second biggest value in 4, 5, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/493861 and -38?\nAnswer: 493861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 4, q: 7}. What is prob of picking 1 c, 1 z, and 2 q?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -25*i**3 + 3*i**2 - 12*i + 19. Calculate t(2).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/63 (c) -0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/70)\/(2\/50*5). What is the fourth biggest value in -1.8, 2\/5, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*r - r - 4, 0 = 3*r - 2*k - 10. Let g(q) = -18*q - 3. Let h be g(-2). Suppose r*j - 4 = 2, 3*j - h = -4*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4813*a - 3655*a + 4324 + 29548 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 5 + 33*r**2 - 17 - 5*r + 12 + 8*r + 3*r**3 to b*r + o + p*r**2 + i*r**3 + y*r**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 48 + -5 - 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 178*2\/(2*2). Let i(w) = 18*w - 285. Let a be i(16). Suppose a*j - x = 28. Calculate the remainder when j is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 7201*q**2 - 14405*q - 7203.\nAnswer: (q - 7203)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 128*w**2 + 272*w.\nAnswer: -4*w*(w - 34)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438 is divided by 102?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3666*c = 3661*c - 16*m - 14 - 66, -3*c - 10 = 2*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 66789240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4687*y**2 - 9*y - 138. Let v(q) = -4697*q**2 + 12*q + 137. Let l(z) = 7*s(z) + 6*v(z). Find the second derivative of l(g) wrt g.\nAnswer: 9254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -7107*j + 7109*j - 17, -5*o - j - 25 = -7*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*u - 18 - 39, 2*u + 8 = l. Suppose -l*b + 18*b = -121200000. What is b rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f - 6*f - 747 + 267 + 267 + 210.\nAnswer: -19*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1153 and 1152 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 15. Let n be b(-7). Let z = n + 0. Suppose z*j - 37 = -5. Solve 3*y - 6*s - 4 = -j*s, -4*s = -4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 63 - -24) + (-1 - 1) + 147\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-136)*(-63)\/189*17*-4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**15\/(l**1\/l)**(-30) assuming l is positive.\nAnswer: l**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 116, 200?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-2) - (7 - 13). Suppose 0 = -s - x*q + 50, -2*s - 2*q + 124 = -6*q. Calculate the remainder when (-10)\/(-4)*((-1424)\/(-40) + 8) is divided by s.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -63, 4, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {n: 8, a: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -13*x**7\/630 - 83*x**6\/720 - x**5\/12 + 9*x**2. Let h(n) be the third derivative of z(n). Differentiate h(j) wrt j.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-14))\/(5\/(-70)). Let y be 4\/(-2) - 32\/t. Let m(u) = u**3 + 20*u**2 + 17*u - 38. Let d be m(-19). What is the closest to y in 1\/6, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + 0.18. Let g be 1\/(1\/3) - 1. Let z(d) = -d**3 + 2*d**2 - d - 2. Let m be z(g). Put p, m, 5\/2 in descending order.\nAnswer: 5\/2, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3950.3 - 4025.766. What is x rounded to the nearest integer?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 101869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 2 + 17*r - 2*r + 7*r.\nAnswer: 25*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*j**3*p**3*z + 12*j**3*p*z**3 + 2*j**2*p**3*z**3 - 42*j**2*p*z**3 + 2*j**2*p - j*z**2 wrt j.\nAnswer: 78*p**3*z + 72*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 862688979.\nAnswer: 862688979.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/25*0 + (7 - (-18)\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7134800 or -7134862?\nAnswer: -7134800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, w: 13}. Give prob of picking 3 w and 1 g.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -58*u + 13. Calculate z(-1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 54. Suppose -4*r - 3*k + 30 = t, -k + 5*k = 4*r - 16. Suppose -10*v + r*v = -396. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73019\/3 - -24578. Which is greater: 238 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 22. Solve 0 = 5*b - 2*a - 22, -a - v = -b - 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-4)\/16)*4. Let g be (i - 2)*1*3. Solve -q - 4*j + 0*j = 15, -5*q + g*j = -40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -402, -556, -894, -1482, -2386, -3672, -5406?\n\"Answer: -11*z**3 - 26*z**2 + z - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 266 - 248. Suppose 8*k + 2810 = c*k. What are the prime factors of k?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/((-28)\/(-56))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 25*d - 56*d + 34*d. Let s(v) = 3*v. Determine s(z(m)).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1544 and 3088?\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2. Let l(c) = 811892*c**2. Give l(w(v)).\nAnswer: 7307028*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.211307034?\nAnswer: 4.211307034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, p: 4, k: 2, u: 2, a: 1, b: 1}. Give prob of sequence pnu.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 186 + 17*j - 59 - 58 - 66 in the form r*j + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - m + 26, 2*m = -2*b - 32. Let r be b\/(1 - -2)*-3. Solve -4*v = -5*j - 0*v - r, -4*j - 12 = -2*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2199 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 17*j + 13. Is v(20) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -12*b**2 - 3*b + 30. Let w be o(0). Solve -25*m = -19*m - w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*t + 37, 5*x + 6*t = -t + 55 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-3)\/48). Solve 2*d - i = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55586.3729 and 4.\nAnswer: -222345.4916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/4*(-8)\/(-2). Suppose -2*z - 2*g + g + 2 = 0, 5*z = 5*g - 10. Solve -c*s - 20 = -z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*o**2 - 3 + 11*o + 6*o + 9*o**2 - 17*o to the form q*o + h + w*o**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.167470799 and 22691.\nAnswer: 22690.832529201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147375524 to the nearest integer?\nAnswer: 12140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 19*f - 9*f)*(1 - 2 + 0)*(41*f - 111*f + 37*f).\nAnswer: -1056*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o - 215. Give u(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**5\/20 - 665*y**4\/4 + 442225*y**3\/2 - 2*y**2 + 247. What is c in m(c) = 0?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/(-24) + 374\/(-40) and 13\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4144, 16585, 37320, 66349, 103672, 149289?\nAnswer: 203200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let q(y) = -1081 + 3240 + 924*y - 1076 - 1083. Give q(s(l)).\nAnswer: 1848*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 11. Let x be u(-6). Suppose -4 = -4*g, 0*f - 4*f = -4*g + 4. Suppose 152*n - 150*n - 8 = f. Solve k + n = x*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56976229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*n = -359, 339 + 76 = 5*l - 3*n. Let w = l + -73. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k = -39*k - 9. Sort -2, 5, 22, k.\nAnswer: -2, k, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/7)\/(1\/7). Suppose 2*i + 2*i = -16. Let v be i + 2 - (-12)\/2. Calculate the greatest common divisor of v and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-1945)\/(-25) - 1*(-2)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243+-529470139\nAnswer: -529469896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 24415 + 1801. Suppose 0 = 7*f - 2833 - i. Let n = f + -84. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-1\/5))*x)\/x**(1\/6))**(-4\/21)*(x**(-3\/7)*x)\/((x*x**(1\/6))\/x)*x**(-3\/19) assuming x is positive.\nAnswer: x**(1511\/11970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 114323406551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**9\/84 + k**5\/6 + 5*k**2\/2 + 4. Let o(w) be the second derivative of h(w). Find the third derivative of o(p) wrt p.\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/10*(-152)\/532.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -45 + 657 + -622.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 18*y**2 - 7*y - 6. Let d be v(5). Calculate the greatest common factor of 986 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0401 - 0.0901. What is the second biggest value in j, -14, -1\/4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -205 less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 8:30 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*w + 1 + 21*w - 12*w)*(12*w**2 - 131*w + 131*w) in the form g*w**3 + b + h*w**2 + k*w and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 379047, 758069, 1137045, 1515975, 1894859?\n\"Answer: -23*r**2 + 379091*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/117997442 and -79\/3758?\nAnswer: 117997442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 772 (b) 124 (c) -2\/19 (d) 5 (e) -0.5 (f) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046.393 + 5?\nAnswer: -1041.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1729\nAnswer: -2\/1729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2024409*z**4 - 2761090*z**2.\nAnswer: 48585816*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 2) + -13 - (1 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/72)\/(14\/273)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035561.\nAnswer: 11, 185051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1295 + 1297. Solve 5*h + 9 = j*g + 8*h, 0 = 3*g + 3*h - 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.5 + -43. Which is the nearest to -0.1? (a) s (b) -2\/7 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*u, 2*h + 2*u + 26 = 7*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -71011 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 456, 688, 922, 1158, 1396, 1636?\nAnswer: 1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79944122 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 12:41 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246 - 241. Is ((3798\/(-21))\/(-3))\/(d\/35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 not equal to -1\/54386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176317416 and 26334?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 8*s**2 + (-2*s**2 + 4 - 4)*(6 + 2 - 2))*(-2*s + 6*s - 3*s + (-3*s - s + 7*s)*(3 - 5 + 0)).\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 7. Suppose l + i*l = 66. Let d be 12\/l + 106\/22. Solve -h + 8 = 2*s, -d*h - 5 = 2*s - 7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtyytqgqggt. What is prob of picking 3 t and 1 q?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*n = -1180*n + 2049*n + 14145 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101963\/14454 - 1\/803. Find the common denominator of 65\/27 and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 - 8794 + 16*w**5 - 2*w**2 + 2*w**4 - 7*w + 8784 wrt w?\nAnswer: 320*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(114) + sqrt(114)*-2 + sqrt(114) - sqrt(114)))\/(((sqrt(6) - sqrt(24)\/sqrt(4)) + sqrt(6))*6))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/((-6)\/(-108)). Is 10 a factor of c\/8 - 234\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195614 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/((-15)\/(-30)). Is 1\/10 at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65876?\nAnswer: 2, 43, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-405)\/(585\/13))\/(3\/2*(-20)\/(-6))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77914 and 956?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:45 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 - (-24 - -34).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93 + -14. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybt when three letters picked without replacement from hbgtvyv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -556089, -1112165, -1668241, -2224317, -2780393, -3336469?\nAnswer: -3892545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(((sqrt(36) - sqrt(9)) + sqrt(9) - sqrt(9)) + sqrt(9)))**2 + 2 + sqrt(21)\/(sqrt(9)\/sqrt(3)*6).\nAnswer: sqrt(7)\/6 + 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -9. Let v be 2 + (-2)\/1 + -4. Calculate the remainder when (11\/(-1))\/(3 + v) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2052153 (base 7) to base 13\nAnswer: -88bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31662*b**3 - 15832*b**3 - 15826*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k + 3. Let m(c) = 4*c**2 + 48*c + 76. Let d be m(-10). What is y(d)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - m + 1)*(86 - 88 + 23*m**2 + 30*m**2) to the form c*m**2 + t + u*m**3 + s*m and give u.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1647506 grams in milligrams?\nAnswer: 164.7506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1461 - 17*g + 1457 + 18*g. Calculate y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 15. Let n be j(10). What is the smallest value in 5, n, 2\/15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63675 is divided by 31832.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/832)\/((-2)\/(-8))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40887270 divided by -2271515.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-10))\/((-188)\/(-20) + -9). What is the third derivative of -107 - 2*i + 2*i + r*i**2 - 27*i**3 + 94 wrt i?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/2)*x)**(-5)\/(x**(-9\/2))**(-34) assuming x is positive.\nAnswer: x**(-301\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807249?\nAnswer: 3, 41, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/392393 or 1?\nAnswer: -2\/392393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 78*d - 3822. Give i(49).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 61. Which is the nearest to -0.4? (a) t (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121202120 (base 3) to base 14\nAnswer: -464b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3053, -6109, -9167, -12227, -15289, -18353?\n\"Answer: -d**2 - 3053*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 589, 2537, 5841, 10507, 16541, 23949, 32737, 42911?\nAnswer: 54477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -803\/15 + 191159\/3570. Calculate the common denominator of g and -2\/35.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 30. Let t(w) = 74 - 26 - 2*w - 28 + 0*w - 19. Give t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2 - 1069*j - 10220. Determine t(-10).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Sort k, -4, -5 in increasing order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001202120011210 (base 3) to base 13\nAnswer: -322232a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4175068 (base 10) to base 11.\nAnswer: -23a1877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-777)\/(-37)*2\/(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 15) in base 13?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2235052*j**3 - 20*j**2 - 23*j + 911 wrt j?\nAnswer: 13410312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45580 plus 8?\nAnswer: -45572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 - 189. What is the derivative of 43 + s*n**2 + 21*n - 38*n**2 + 15 wrt n?\nAnswer: 2*n + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 2*p + 3*p. Let s(i) be the first derivative of -26*i**3\/3 - 1023. Determine s(m(o)).\nAnswer: -104*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13979589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 7*s + 41. Let m be (-2)\/s + (-102)\/(-18). Suppose m*u - 138 = 48. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k + 6 = -5*z + 18*k, 5*k - 10 = 0. Solve -12 = 3*r - z*r + 3*d, 2*r + 4 = 2*d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 9612926.\nAnswer: 25\/4806463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62000 by -5.\nAnswer: 12400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108203 is divided by 4703.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 2:13 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 1664*b**3 - 194688*b**2 + 789654528.\nAnswer: -4*(b - 156)**3*(b + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1125016 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.6, 7, 3.1, 1\/72, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-3 - -2 - 1). Suppose d*m - 183 = 75. Let l = m - 114. What is the highest common factor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 5 = -6*f - 4*i - 30, 0 = 119*f - 9*f - 2*i + 540 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 19\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m - 4. Let z(k) = 4*k**3 - k**2. Let a be z(1). Let c = -1 - a. Let y be i(c). What is the greatest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-12 + -11 - -14) + 5 - 36.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 7018*z**2 - 2135704*z - 8655040.\nAnswer: (z - 296)*(z + 4)*(z + 7310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3225 - -4841. Let v = 1616.1322 - f. Round v to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -54, -89, -128, -171, -218?\n\"Answer: -2*y**2 - 25*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*10 - (-53 + 57). Suppose 83 = -5*x + 208. Is t greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -6, 0 = 252*f - 256*f + 3*s + 73. Suppose -5*n + 12 = -3. Solve 7*g = n*g - f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, -15, -167, 0 in ascending order.\nAnswer: -167, -15, -1, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -819*d*r*u - 100*d*r + 75*d - 7*r + 438840*u wrt r?\nAnswer: -819*d*u - 100*d - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21773, 21827, 21881, 21935, 21989?\nAnswer: 22043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/15)\/(3*3\/(-162))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1452 * 0.63.\nAnswer: 914.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2116622 and 666.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 7*y**2 + 8*y + 16. Give p(-6).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*u**2 + 94*u**2 - 171*u**2 - 77*u**3 wrt u?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424 >= 7116\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 2 + 2 - 23*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128156 by -32039.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 - 1568 = 51*f + 404 + 764 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 65*r**2 - 3*r - 2477. Let i(f) = -8*f**2 - 3. Calculate -g(p) - 8*i(p).\nAnswer: -p**2 + 3*p + 2501","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.734 plus -19?\nAnswer: -18.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.257 and -1.092.\nAnswer: 21.028644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y**2 + 670*y + 3435. What is j(-5)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 7*b**6\/6 + 9*b**2\/2 + 8. Find the second derivative of t(j) wrt j.\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0388 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -93.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1146544 divided by 812\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31677 (base 8) to base 15\nAnswer: -3dd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/16)\/((-1)\/(-2)). Let p = 2 - 0. Suppose -t - 20 = -2*q - 5*t, -p*t - 2 = -5*q. What is the nearest to -0.1 in q, b, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 36*a - 87. Determine q(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5694.3 and -4.032.\nAnswer: -22959.4176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -26*f - 808. Let i be s(-31). Suppose t + 3*k + 14 = 2*k, 3*k - 3 = 0. Let g = -10 - t. Put 17, g, i in ascending order.\nAnswer: i, g, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*y**2 - m**2*y + 2*m**2 - 179*y**2 with respect to y.\nAnswer: -2*m**2*y - m**2 - 358*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 9 - 1) + 271. Calculate the greatest common divisor of i and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1143877*g + 1143882*g + 5*g**4 - 43 - 6*g**4 + 4*g**3 to the form r*g**2 + w*g + k*g**3 + z*g**4 + s and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147.139 millimeters in nanometers?\nAnswer: 1147139000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6658302 and 74206?\nAnswer: 73241322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 19 - 15*n - 16)*(-2*n + 3*n + 0*n).\nAnswer: -13*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47688990 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**2 + 28*m**2 + 16*m**2 to d*m + b*m**2 + g and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -76\/3. Let n = -0.074 + -8.326. Let i = n - -8.1. Sort 4, t, i in descending order.\nAnswer: 4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 2. Let z be h(-3). Let f = 236 - 212. Suppose -314*r + 308*r + f = 0. Are z and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = 12. Let s(a) = -a**3 - 3*a**2 + a + 4. Give s(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 36. Suppose x*r - 2*j + 70 = 0, -r + 2*j = -2*r - 26. Let p = 33 + r. Calculate the remainder when 20 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655949167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -23. Let t(a) be the second derivative of v*a**2 - 2*a + 1\/6*a**4 + 0 + 1\/3*a**3. What is the second derivative of t(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 = 3. Let o = -4 + c. Solve 2*w + o*w + 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -71, 5, 0.138?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8120447 + -1.98551739. Let g = v - -0.55347296. Let m = g + -0.38. What is m rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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 value of ((-4)\/25)\/(484\/(-10285))?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 10, p: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -693 + 701. Let d(p) = p**2 - 2*p. Let r be d(2). Factor 8*k - 2*k**4 - j + r*k**4 + 2*k**3 + 6 - 12*k**2 + 6*k**3.\nAnswer: -2*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - -0.1. Suppose 0 = -k + 5*c - c - 21, 4*k - 4*c + 24 = 0. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + z**2 - 4*z)*(-z**2 + 3*z**2 + z**2) - 2*z**4 - 2*z**2 + 33 - 8896*z + 8896*z.\nAnswer: z**4 - 2*z**2 + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -6)*1 - ((-4392)\/400 + 9)\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-79)\/((-13)\/(-4) + -1 + -3). Let r = 33 - -71. Let t = r - k. What is the second smallest value in t, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 30)*10\/(-105)*3. Suppose -4*v + 4 = -p. Solve -2*q - 11 = -v*y, 3*q - 5*q = 5*y - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(180)\/(2*-3*sqrt(5)))\/(2*(sqrt(12) - sqrt(192)*-4)).\nAnswer: -sqrt(3)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 7*o = -4*a - 21, 2*a - 17 = -3*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/11 + 5536*o**2\/11 - 71674*o\/11 + 11020 = 0. Calculate o.\nAnswer: 2, 11, 2755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(468) + -3)*-3)**2 + -5.\nAnswer: -972*sqrt(13) + 12874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 446246 and 20.\nAnswer: 4462460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2210 - 2202332?\nAnswer: -2200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d + 14. Let w(z) = -6*z + 7. What is -4*b(f) + 9*w(f)?\nAnswer: -6*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/44145?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d. Let u(y) be the third derivative of 0 + 2*y**2 + 0*y - 1\/24*y**4 - 1\/3*y**3. Let l be u(-6). Determine j(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*j - 80 + 79 + 2*j)*(-4*j**2 - 10*j**2 + 3*j**2) to c*j**2 + b*j**3 + p + v*j and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 884, 6412, 21292, 50204, 97828, 168844?\n\"Answer: 780*t**3 - 4*t**2 + 80*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -182 divided by -26\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -t + 3*l + 402, 0 = 4*t - l - 2023. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362909118?\nAnswer: 2, 681454559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y. Let c be 0 - 3 - 0\/(-4). Let i be (-4)\/6 + (-8)\/c. Let q(h) = -2*h**i + 5*h**2 + h**2. Calculate q(g(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 50879304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8002 is divided by 920.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5\/2)\/((b\/b**(1\/9))\/b) assuming b is positive.\nAnswer: b**(-43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30814 (base 11) in base 10?\nAnswer: 44906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 2*t**3 + 4*t**3)*(-3 - 7*t + 3).\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8.2312445531 - 4\nAnswer: 4.2312445531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5828 at most as big as 7.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*j - 11, 5*j - 4*y - 55 = -0*j. Suppose -5*u = -4*u - j. Suppose -2*h = 3*h - 5*p, 5*p + u = -2*h. What is the nearest to h in -3\/5, -1\/3, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5520334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 158 - 14. Let y = 110 + v. Let g = 13 + 4. What is the remainder when y is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -629 + 589 - (0 - 68).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 25*c - 44. Let m(l) = 6*l - 11. Let q(g) = 26*m(g) - 6*n(g). Let f be q(18). What is the third derivative of -f*k**6 + 8*k**2 + 74*k**6 - k**2 wrt k?\nAnswer: -1440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26214*q + 49259 wrt q?\nAnswer: 26214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/4)\/(3\/24). Calculate the highest common divisor of d and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*d**3 - 324*d**2 + 328*d - 36.\nAnswer: 4*(d - 9)*(d - 1)*(8*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(4) + sqrt(4)*-3)*-6*3)**2 - -1*(sqrt(112) + 2)*-2.\nAnswer: -8*sqrt(7) + 563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225722 and 690?\nAnswer: 3385830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001011111010000100 - -1010?\nAnswer: -100001011111001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*q - 83, 3*q - z - 3*z - 37 = 0. What is the first derivative of q + 10*c + c - 4*c wrt c?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a75a2 + 1a?\nAnswer: -3a7585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazayzayzyy. Give prob of sequence zzz.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 12 = -4*f - b, -2*f + 4*b = 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 384, 385, 394, 417, 460, 529, 630, 769?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and -29557.429.\nAnswer: -38424.6577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.082999 and -2931789?\nAnswer: 2931789.082999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 6*r**2 + 5*r + 4. Let t be u(-5). Suppose t*x - 9*x = 0. Let j = 16 + -15. Solve x = v + j + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83 + (2 - (0 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-205)\/30 - -4 - -3. Which is the third biggest value? (a) -2 (b) -12 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81139 is divided by 1561.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 304092 and 76023.\nAnswer: 304092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -768*r - 139958. What is c(-179)?\nAnswer: -2486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12604\/138*(-1212)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*f = 0. Suppose f = 6*j + 534 + 414. Let x = j - -565. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 44\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + a + 15. Let g = -5 - -9. Suppose 0*i - g*k + 76 = 4*i, a*i - 5*k = 125. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3 - 11. Let j(z) be the second derivative of z**3\/3 + 40*z**2 - z - 33. What is the least common multiple of m and j(-33)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 0 - 24. What is the first derivative of a + 3 + 0 - l wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -991101?\nAnswer: 991098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -30 (b) 14 (c) -2\/13 (d) -0.2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3424314 (base 7) to base 16.\nAnswer: -6820b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f - 17*f - 16*f + 89*f.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 100*n**2 - 385*n - 490.\nAnswer: -5*(n - 14)*(n - 7)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15954763 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: How many minutes are there between 7:56 AM and 8:23 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {u: 1, n: 2, d: 4, a: 1, l: 7}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44c8d - -4?\nAnswer: 44c93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2*o*v**3 + 2*c**2*o*v**2 - 625*c*o*p*v**2 + 2*o*p + 690*p*v**4 wrt v.\nAnswer: 18*c**2*o + 16560*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 51*16632\nAnswer: 848232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*((p*p*p\/p**(-2)*p)\/p)\/p)\/p)**(-27)*(p\/((p*p*p*(p*p**(2\/3))\/p)\/p))\/p**2)**(-39))**(10\/19) assuming p is positive.\nAnswer: p**(54080\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 403*l**4 - 1628*l**2 wrt l?\nAnswer: 9672*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/10 and -49\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450158*h + 224010*h + 226171*h.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 40 = 0, 6*q + 600*z - 601*z = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -2123011?\nAnswer: -2123021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -17 + (7 - (-15 - -22)) - -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*r**2\/3 + 9487*r\/3 + 2710\/3.\nAnswer: (r + 1355)*(7*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**6\/120 + n**5\/120 - n**4\/6 - 2*n. Let c(l) be the third derivative of u(l). Is c(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from qqese?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*q + 300*q + 2*w = -4, 4*q + 10 = -5*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34156900.91 rounded to the nearest ten thousand?\nAnswer: -34160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24590 - 1835?\nAnswer: -26425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -142\/5, -1, -0.052, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -43*f**2 - 1946*f + 15083. What is t(-52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 - 251\/(-3). Let j = 195 - z. What is the highest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -50634809.\nAnswer: 2\/50634809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -16154.45 to the nearest ten.\nAnswer: -16150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 266.2097 nanometers?\nAnswer: 0.2662097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 13. Let v be (-9)\/c*(-2 + 18). What is the units digit of -10*(-2 + v\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = z - 1361, z - 5444 = -3*z - 4*u. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76934073 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v + 34*v - 900 = -91*v. Sort -2\/7, 2, v, -51 in decreasing order.\nAnswer: v, 2, -2\/7, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - o + 2. Let m(y) = -1. Let l(t) = c(t) + 2*m(t). Let r(g) = 1. Determine -l(k) - 2*r(k).\nAnswer: 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 2, 125*s = 123*s + 5*w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*3\/3*1512\/108.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5898095*5.5.\nAnswer: 32439522.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2 = 17. Let t(p) = -4*p**2 - 6*p + 2. Let f be t(-2). Put s, -5, f in descending order.\nAnswer: s, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -750794465 or -1\/4?\nAnswer: -750794465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 663.74\nAnswer: 132.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001904205 to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -11154?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(1\/5)*j*j\/(j\/(j**18\/j)*j)*(j**6)**(-39\/4) assuming j is positive.\nAnswer: j**(-403\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -280, -659, -1242, -2125, -3404?\n\"Answer: -16*s**3 - 6*s**2 - 249*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 129312689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 68090, 109148, 150216, 191300, 232406, 273540?\n\"Answer: l**3 - l**2 + 41054*l + 27036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, -80 in descending order.\nAnswer: -2, -15, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 881 + 5780 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 + 12 - 2*d**3 - 11*d**3 - 46*d**3 + 0.\nAnswer: -50*d**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 70. Suppose 2*x + 7 = q. Calculate the smallest common multiple of x and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 1. Let k = -9 + 9. Suppose -d = -5*d + 3*v + 11, k = d + v - 1. Let u(s) = 10 + 3 + 3*s - 9 - 5. Calculate d*f(o) - u(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - h**2 + 2*h - 4. Let n be a(2). Suppose 7*w - 5*w = n. Suppose 0*m = 7*m + w*m. Solve 4*r + 6*l - l - 26 = m, -l - 2 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10383, 10369, 10377, 10431, 10555, 10773, 11109?\n\"Answer: 4*m**3 - 13*m**2 - 3*m + 10395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18324?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 12. Let m be r(-3). Suppose 0 = -m*o - 2*j + 204 + 62, 3*o = j + 263. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-2 + 1)*296. Let r be (b\/(-12))\/(2\/3). Let p = r - 45. Solve -4*g - 2*d + 12 - 34 = 0, 4*d + p = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/455 - 7\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55\/2 - -155\/6. Which is bigger: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-1 + -8 + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (1 + sqrt(468)))*6)**2 + 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:38 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70639 + 104649. What are the prime factors of f?\nAnswer: 2, 5, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2423*m**3 - 32*m**2 - 33*m + 12. Let u(i) = i**2 + i + 3. Let c(n) = j(n) - 4*u(n). What is the third derivative of c(p) wrt p?\nAnswer: 14538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/19 (b) -1\/4 (c) -2\/13 (d) 641 (e) -1 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3097877.\nAnswer: 263, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314.87 + -0.387521.\nAnswer: -315.257521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 8*b**2 + 7*b + 23. Give k(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 3\/5 (c) -0.5 (d) -117 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*i - 115 = -x, -3*x = -2*i - 125. Solve -4*r - x = r - 5*f, -29 = r - 5*f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 42*x + 284. Let y be n(-7). Let m(t) = -3*t - 40. Give m(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2242*i + 2229*i + 3 + 9 to the form y + a*i and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16036 - 16033. Let v(u) = u**3 - 7*u**2 - 5*u + 1. Let p be v(8). Sort t, p, 5 in descending order.\nAnswer: p, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964003 is divided by 1098?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929502 is divided by 464599.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + 35.9.\nAnswer: 35.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*n + 68 + 253. Let i(a) be the first derivative of 0*a + 0*a**n + 7*a**2 - 4\/5*a**5 + 0*a**4 - 7. Find the second derivative of i(m) wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240228320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**8\/448 - k**7\/280 + 3*k**6\/160 + k**5\/16 + k**4\/16 + 17*k**2. Factor n(b).\nAnswer: -3*b*(b - 2)*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:59 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 893376778 - 40?\nAnswer: 893376738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-6))\/(-158 + (-626)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v + 5. Let s be f(0). Let r be 87\/(-5) + 2\/s. Let m = -11 - r. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091701871 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*-3*sqrt(425) + 5 + 2*(-2 + -1 + sqrt(425)))**2.\nAnswer: 40*sqrt(17) + 6796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3. Let j(x) = 11. Let s(f) = 2*j(f) - 7*u(f). Let y(g) = -6*g + 2. Let m(l) = 2*s(l) - y(l). Let r(p) = -2*p**2. Determine r(m(h)).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = a - 41. Let k = 4 + -2. Suppose 2*l - k*d = a, 47 = -5*l - 5*d + 297. What is the remainder when l is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:20 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -37*u**4\/24 + 13*u**3\/3 + 8*u**2 + 26*u. Let h(k) be the first derivative of d(k). Differentiate h(n) with respect to n.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95.2 - 95. What is the nearest to 0 in b, -1, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 6980\nAnswer: 1\/1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + i - 2. Let l(m) = -680*m**2 + 2*m + 196. Let d(q) = h(q) + l(q). Find the second derivative of d(o) wrt o.\nAnswer: -1366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 313\/8 - 907\/24. Let w(g) be the second derivative of 0*g**2 + 2\/3*g**4 + 0 - 10*g + r*g**3. What is the second derivative of w(x) wrt x?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -3*o**3\/2 - 21*o. Let z(f) = 3*f**2. Determine t(z(s)).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Suppose c + 3 = 0, 2*f + 15 = -4*c + s. Suppose f + 9 = h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143997277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 11*j + 266 = 0. Suppose -2554 + j = -9*y. What are the prime factors of y?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105898\/283 > 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (5\/3 + (-104)\/12). Suppose 4*q - 40 = -28. Solve 8 = 4*d + a*b, -2*d = 2*d - q*b - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 - 3*s + 3. Let d(l) = -3*l**3 - 12*l**2 + 10*l - 9. Let x(m) = 3*d(m) + 8*k(m). Give x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 4*r + r. Suppose 4*l - t + 34 = 0, -5*t + 12 + 22 = -3*l. Let y = r + l. Calculate the remainder when 29 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -23, 0, -6.\nAnswer: -23, -6, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 43 = -117. Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.8 at most -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(114)\/sqrt(24) - (sqrt(19) - ((sqrt(19) - (sqrt(19) + sqrt(38)\/sqrt(2))) + -5))*3)*4.\nAnswer: -22*sqrt(19) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5314433442 - 0?\nAnswer: -5314433442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -616 = 1694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6682.\nAnswer: 2, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5650*a**3 + 1001*a**2 + 4*a?\nAnswer: 33900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -47\/210*c**7 + 0 + 0*c**4 + 0*c + 6*c**2 + 0*c**5 + 0*c**6 - 7\/2*c**3. Differentiate m(v) wrt v.\nAnswer: -188*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 16 = 4*a. Suppose j + 1 = 8. Let n = -4 + j. What is the smallest value in 0.1, a, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/10 + 201\/6. What is the greatest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -287, -419?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (7 - (-2 - -30 - 12))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54355 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + o + 2*o + 21 = 0, 2*o + 34 = 4*k. Let h = -9 + k. Is 1 + (0 + h - -19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**7\/70 + 47*w**6\/10 - 4511*w**5\/10 + 4371*w**4\/2 - 8649*w**3\/2 - 2116*w**2. Factor n(c).\nAnswer: -3*(c - 93)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 times -0.07\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + t - 1. Let n be b(-1). Let f = 19 + -17. Solve 0 = f*j - n*h + 3*h - 3, -4*j + 4*h + 16 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2. Let h(w) = 6*w + 1. Let s(u) = -16*u - 3. Suppose -6*v - 12 = 0, -2*m - 2 = 4*v + 10. Let t(q) = m*s(q) - 6*h(q). What is t(p(k))?\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/3 - 43*p\/3 + 406\/3.\nAnswer: (p - 29)*(p - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 8 (c) 0.2 (d) -0.022 (e) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520681083, -1041362167, -1562043251, -2082724335, -2603405419?\nAnswer: -3124086503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22298.586 months in years?\nAnswer: 1858.2155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose -w = -5*x + 152. What is the remainder when x is divided by (-10)\/(-4)*(-136)\/(-20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 181100*i**3 + 4741801514*i**2 + 29073353202600*i + 51544620194408712.\nAnswer: 2*(i + 3878)**2*(i + 41397)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 98.28354 decades?\nAnswer: 11794.0248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 15*p**4\/4 - 2*p**2 - 6279*p + 2. Let k(m) = 40*m. Give s(k(y)).\nAnswer: 72000*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0371 and -48437.\nAnswer: 1797.0127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/17 + 22934*t\/17 + 91768\/17 = 0. What is t?\nAnswer: -4, 11471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 269201471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/9 + 57952*h\/9 - 419804288\/9 = 0.\nAnswer: 14488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15.29+-4\nAnswer: 11.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 14. Suppose 4*v - 77 = -t*v. What is the units digit of (42\/10)\/(((-7)\/(-10))\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(2 + (-3)\/3). Let w = a + -4. Calculate the lowest common multiple of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 21*b + 6. Let j(g) = g**2 + 22*g + 7. Determine 4*j(k) - 5*y(k).\nAnswer: -k**2 - 17*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -0.06, -143, 2\/19, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 3*f**4\/2 - f**3\/3 + 2*f**2 - 9*f - 457. Let t(u) = -5*u**3 + u**2 - 3*u + 8. Determine 3*d(w) + 4*t(w).\nAnswer: -2*w**3 + w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**4 + 180*o**3 + 1276*o**2 - 13860*o + 12400 = 0.\nAnswer: -31, -20, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j + 126. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*c**2 - 220*c**2 + 19*c**2.\nAnswer: -549*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.1749, 1, -0.5, 0.2?\nAnswer: -0.1749","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47802 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 4*f + 40 = 0, -51*f - 8 = 2*y - 53*f for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 3*l**5 + 3*l**2 + (-5*l**5 + 5*l**5 - 4*l**5)*(-3 + 5 - 1).\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120.3 in 23, -2, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 18*y + 20. What is g(18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45444976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*(3 + sqrt(13) + (sqrt(13) - sqrt(117)\/sqrt(144))**2 + sqrt(26)\/(sqrt(2)*-2)).\nAnswer: 3*sqrt(13)\/2 + 495\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3\/11 + 36912*m**2\/11 + 915768*m + 692439840\/11 = 0 for m.\nAnswer: -18180, -138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5184 take away 0.0727?\nAnswer: -5184.0727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqaa when four letters picked without replacement from wbabqhambhbbaqbab.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 3. Let v(y) = -y. Let o be v(-4). Suppose -o = -2*r + 6. Calculate the least common multiple of r and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 5*x**2 + 6*x - 1. Let a(n) = 7*n**3 - 10*n**2 + 14*n - 3. Let c(o) = 4*a(o) - 9*t(o). Give c(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-11 - (-11 - -7)) + (1 - -29))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 4*k**2 + k**2)*(151*k + 1310 - 1310).\nAnswer: 151*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -86, -197, -352, -551, -794, -1081?\n\"Answer: -22*q**2 - q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -144986 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 722 and 152.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -6, -7, 23 in ascending order.\nAnswer: -7, -6, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -30. Suppose 3*p - 3*r = 4*p + 7, -2*r = -5*p + q. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 5. Let r be h(-3). Let c be 1*(r + 5)*-3. Let f = -1 - c. What is the highest common factor of 12 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998449871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/1924129, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millennium in years?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 + 21*m**2 - 22*m + 19. Let v be c(-8). Factor -4\/11*t**v + 2\/11*t**4 - 6\/11*t**2 + 0 + 0*t.\nAnswer: 2*t**2*(t - 3)*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*l + 766, k + 0*k - 786 = -3*l. Let n be k\/4*(34\/(-6) + -1). Round n to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466 = -24*t + 32*t + 506 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1957 + 34450. Is 124 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3629 + 11040. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -13, -3, 5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45678 - -45683. Solve 28*g - 26*g = -3*i - 12, -2*g - 24 = q*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*i + 9 - 32 = 0, 0 = -4*x - 2*i - 36. Let q be 2*(1 - x\/2). Solve 0 = 2*l - q + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f + 3. Suppose -142 = 5*c + 4*o, 2*c + f*o - 13 = -67. Let m = -17 - c. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -10*r + 1. Let a(m) = -114*m**2. Calculate g(a(n)).\nAnswer: 1140*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/2 + -5\/14. Which is the second smallest value? (a) 1\/4 (b) x (c) 2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 2*m + 6*m + (-3*m + 0 + 0)*(-19 + 11 + 5))*(3 - 4 + 2)*(2*m + m - 6*m).\nAnswer: -51*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - ((-213 - -212) + (1 - 62) + 15)) + -3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 4 (c) -20 (d) 0.5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 407 or 0.228?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 3*n + (2 + 3 - 6)*(-4*n + 5*n + n) - 78*n + 164*n - 73*n + 21)*(-3 + 5 - 4).\nAnswer: -20*n - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 - 10*c - 1. Let a = 5 - 10. Let w(z) = 6*z**2 - 9*z - 2. Let x(b) = 3*b. Let f be x(2). Let y(p) = a*j(p) + f*w(p). Calculate y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.8 + -18323140.\nAnswer: -18323148.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 33\/3 - (-2 - 1). Let w(g) = g**3 + 11*g**2 + 11*g + 9. What is w(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 13. Suppose -b*j + 9 = 34. Which is greater: -6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -2485ee7?\nAnswer: 2485ee5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/11)\/(-249*368\/(-24288))?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55487728 + 0.02.\nAnswer: -55487727.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448 (base 10) in base 3?\nAnswer: -1222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (55\/154*114)\/((-654)\/(-1526))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uss when three letters picked without replacement from suuuesppuysuoppyupus.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -498*r**3 + 2*r**2 + 4*r - 1. What is the tens digit of u(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1881326855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 499*w**2 + 15678*w - 61380. Give q(-465).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1832 = 4*i, 13*i = 18*i - 4*y - 2291. What is the least common multiple of 65 and i?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(6\/(-24)*8)*12\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 16392757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -5626.736 and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1341746, 1341686, 1341626, 1341566, 1341506, 1341446?\n\"Answer: -60*q + 1341806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3951)\/4368 + (18\/(-21))\/(-2) and -57\/5.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + sqrt(171)\/sqrt(3))*-6)\/(sqrt(18)\/(1*sqrt(6))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + o + 732. Let u be b(0). Let n = -700 + u. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - c = 0, -2*c = 4*i - 18 - 0. Suppose -5*g = -i*g - 58. Calculate the greatest common factor of g and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 + 115*q**4\/2 - 17*q**3 - 115*q**2\/2 + 21*q = 0. What is q?\nAnswer: -1, 0, 3\/8, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*l + 204, -l - 19 = y - 76. Find the first derivative of -135*z - 44 - l*z**4 + 134*z - 42 wrt z.\nAnswer: -212*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/7 + 11668648*h\/7 - 8509834134244\/7.\nAnswer: -4*(h - 1458581)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 2, x: 2, h: 1, l: 1, b: 2}. What is prob of picking 1 h and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2885 + 2912. Solve 0 = k*q - 101 - 34 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/328 or 1?\nAnswer: 1\/328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 21*p - 47. Calculate o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16844.\nAnswer: 2, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 2*x**3 - 6*x**3)*(6 - 6 - x**2 + 2*x - 2*x - x**2 - 5*x**2 + 4*x**2 - 2*x**2 + (-3*x + 2*x + 3*x)*(-7 + 7 - x)).\nAnswer: 14*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 801 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*o)**20 assuming o is positive.\nAnswer: o**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -551420, -551470, -551510, -551534, -551536, -551510, -551450, -551350?\n\"Answer: f**3 - f**2 - 54*f - 551366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w**3 + 2 - 202*w**3 - 70*w**3 + 2*w - 2*w.\nAnswer: -242*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 13. Let l be j(4). Suppose -l*b = -34 + 9. Let i(s) be the first derivative of s**3\/3 - 2*s**2 - 1. What is i(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -939849*u + 469913*u + 469940*u + 470.\nAnswer: 4*u + 470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v. Suppose -6*y = -8*y + 6. Suppose -2*g + 3*b + 1 = v, -4*g + 42 = 5*b - y*b. Calculate the least common multiple of g and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*l - 9*l + 4*l - 3*l**2 + 7*l + 84 = 0. Calculate l.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k**(-1\/5)*k**(-2\/11)\/k**(1\/8))\/(k**4*k*k*(((k\/k**(-3\/2)*k)\/k)\/k)\/k*(k*k*k*k**7)\/k**(-2\/3)) assuming k is positive.\nAnswer: k**(-25441\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -46700 to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3511.1 - 3506. Let x be (-1 - -4) + (-525)\/55. Let r = x - -482\/77. Which is bigger: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c + 5. Let t be l(4). Let i = t - -3. Suppose 5*n + i = x, -x + 6 = -n + 2. Solve -4*u - 6 + 2 = x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 9*m + 20. Let q be n(4). Solve q = -3*l + 18 - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169 and 4169009.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55144991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3492 + 3488. Put -1, u, -11, -2 in descending order.\nAnswer: -1, -2, u, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-873160)\/654600 + (9 - 8 - (-1)\/3). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**2 + 14 - 12 - j - 6*j**2 - 2*j + 4*j as h + c*j**2 + v*j and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/412009 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + y + 282 = 3*y, 2*u = y + 139. What is the common denominator of (1\/(-4))\/(15\/(-129) - 0) and (-6)\/21 - 701\/u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597208 to the power of 1\/2, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*o + 4*o**3 + 17*o**3 + 124*o - 5*o**3 - 193*o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200000211210112 - 12?\nAnswer: 200000211210100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 45*(27\/243)\/((-3)\/(-3)) + -6.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 44*a**3 + 564*a**2 - 1760*a + 1600.\nAnswer: (a - 20)**2*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*s - 1)*(0*s**3 + 0*s**3 + s**3) + 4*s**2 - s**4 + s**3 - 4*s**2.\nAnswer: -3*s**4 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 5*r - 1. Let f be g(-3). Factor -3\/4*b + 1\/4*b**f + 1\/2.\nAnswer: (b - 2)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (1 + 0)) + 1. Let a(o) = 193*o + 2*o**2 + 5*o**3 - 1 - 193*o. Is a(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1821*a + 2470 = -17025 - 27118 - 733 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*k**3 - 70*k**3 + 145*k**3.\nAnswer: 22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (1 + -12 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21390916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 154451 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6411, -6073, -5169, -3417, -535, 3759?\n\"Answer: 47*x**3 + x**2 + 6*x - 6465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1136? (a) 17 (b) 2 (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3306*g - 13230. Calculate k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3150017262 and 3402?\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/14 and -95\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z)**(-5\/7)*z**(-1\/6)*z*(z*z\/(z*z*z**(3\/4))*z)\/z*(z**0*z)**(-45)*(z\/(z**(-1\/2)\/z)*z)**42 assuming z is positive.\nAnswer: z**(8695\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 + -95. Suppose 0 = 2*q - 22 - 36. Let n = q - 57\/2. Which is the biggest value? (a) 3\/5 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/6 + 6\/9. Suppose 0 = 3*u - 9 - y. Suppose 0*q - q = -u. Sort q, -0.2, -2\/5 in decreasing order.\nAnswer: q, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91614*o - 43435 wrt o.\nAnswer: 91614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/2 - 739*u\/6 + 41\/3.\nAnswer: (u - 82)*(9*u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34, -76, -144, -238, -358, -504, -676?\n\"Answer: -13*h**2 - 3*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5327 divided by 121?\nAnswer: 5327\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 3629*c + 83975. Give m(-23).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20407957519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**4 - 2283*p**3 + 8447*p**2.\nAnswer: -72*p - 13698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/5)\/c**(-2\/7)*c**3\/c**(5\/4)*c**1\/((c\/c**(-6))\/c)*(c*c\/(c**(-2\/3)\/c*c)*c)\/c**3 assuming c is positive.\nAnswer: c**(-713\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -86, -31, 96, 319, 662, 1149?\nAnswer: 1804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*k + 201, -5*k + 506 = -2*g - 2*g. Let u(q) = 2*q**2 + 15*q - 21. Let h be u(-18). Calculate the greatest common divisor of h and k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 9. Let r be q(-7). Let o = -4 + 7. Suppose 2*x - o = -1. Is r equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-582)\/873)\/((-2)\/(-6)*-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130425 = 5*p - 5*n, -60088 = -4*p + 5*n + 44254. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*w + 9, -43 = 2*n - 3*w - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) 0.5 (b) 17 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + 2 + -4 + (1 + sqrt(153))*5 + -4)**2.\nAnswer: -32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-20)*(4 - 2) and 1 + -3 - -5 - 2937\/16335*22.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 + -714?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1221, -897, -391, 291, 1143, 2159, 3333?\nAnswer: 4659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.06429 rounded to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-10) + (3 - -17)\/4. Suppose 81*a - 16*a**5 + 3 + 211*a**2 + x + 340*a**5 + 999*a**3 + 1053*a**4 + 206*a**2 = 0. What is a?\nAnswer: -2, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1198 + 141 = 103*z. Solve -z*y - 12 = -7*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17800793 + -2?\nAnswer: -17800795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4 + g**2 - g + 2*g + 4*g**2 + g**3. Let f be (-6)\/15 - (-36)\/(-10). Is u(f) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/16504810 and -73\/75?\nAnswer: 247572150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 794271.84 from -10.\nAnswer: -794281.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 6*l + 2. Let k be r(-5). Let z = -1.531 + 1.431. What is the biggest value in -6, 2\/7, k, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 13*c**3\/3 + 2028. Let p be 2\/(-1) - 6\/(-2). Calculate x(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x + 2*x + 2*x. Suppose 5*d + 5*a = 10, -4*a = 5*d - 6 - 2. Suppose d = -3*k - 49 + 10. Let q(t) = -3*t. Give k*q(f) - 6*o(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/12 - 161\/(-6). Suppose -m - 18 = -5*q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {c: 2, m: 6, t: 2, h: 1, j: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 218 = -3*c - 91, -218 = -2*i - c. Suppose -113 = -g + 2*l, -g + 7*l + i = 3*l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (1 + (3 - -8 - (17 + 6))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2. Let v(r) = -r**2 + 2. Let t(b) = 0 + 3*b - 3*b + 3*b**2 - 5. Let z = 21 + -23. Let k(i) = z*t(i) - 5*v(i). Give j(k(y)).\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*b - 11944*b**2 - 5986*b**2 - 68*b to s*b**2 + a*b + j and give s.\nAnswer: -17930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -85. Let m = -0.04 + -0.26. Which is the third biggest value? (a) m (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1788236 to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j. Let n(a) = 2*a - 4. Let q(m) = -2*m + 5. Let o(i) = 5*n(i) + 4*q(i). What is p(o(r))?\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-59)\/1180)\/(112\/320)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5191462881.\nAnswer: 3, 11, 17479673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 7*s + 1. Let o be m(-7). Differentiate 7 + 4*g**3 - o - 2 with respect to g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -2218*x**7\/105 + 964*x**3 - 12021*x**2. Differentiate d(r) wrt r.\nAnswer: -17744*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 181368 and 10942536.\nAnswer: 32827608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4b5 (base 12) to base 4\nAnswer: 23021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgq when three letters picked without replacement from qgmrk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1400538335 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-5) - (-744)\/15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p + 6. Let b(l) = -9*l - 4. Let w(f) = f. Let h(k) = -b(k) - 6*w(k). Determine 5*c(o) - 8*h(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*r**3 + 25*r**3 + 3*r**5 + 0*r**5 - 2*r**5 + 0*r**5 + (2*r**3 - 3*r + 3*r)*(-4*r - 2*r**2 + 4*r).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 162\/18*(-4)\/(-6) - 4. Let y(t) = -1 + 3228*t - t**2 - b - 3234*t. Determine y(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -172.99981645 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h - 6. Let i be o(4). Suppose -3*k = -5*d + i, 2*d + 3*k - 1 = 3. Factor 0 - 1\/3*l + 1\/3*l**5 - 2\/3*l**d + 2\/3*l**4 + 0*l**3.\nAnswer: l*(l - 1)*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 810*r - 7288. Let v be t(9). Factor 0 - 16\/11*h - 2\/11*h**3 + 12\/11*h**v.\nAnswer: -2*h*(h - 4)*(h - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/45)\/((-150)\/375)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = -2*m + 8, 5*m - 26 = -4*n. Let d(c) = 2*c**2 - 2*c - 7. Let f be d(3). Suppose -l = -4*s + f, 3*l + 5 = s - l. Is m not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7646 is divided by 153?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d + 3. Let w(v) = -2 - 5*v + 10*v - 7*v**2 + v**d + 3. Let n = 13 - 7. Give w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2511012 divided by -6?\nAnswer: 418502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:43 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185*o**3 + 292*o - 62*o**3 - 289*o to the form h + c*o + q*o**2 + r*o**3 and give r.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 249341\/7 - 35620. Let r = 0 - 4. What is the third biggest value in r, -2\/5, 0.1, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**3 + 11*l**2 + 17*l + 9. Let r(i) = 3*i**3 + 7*i**2 + 12*i + 6. What is -5*f(n) + 7*r(n)?\nAnswer: n**3 - 6*n**2 - n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 26*m + 30*m - 26, 0 = 3*m - 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-12) - 28\/24. Let w = 2\/61061 - -61053\/244244. What is the nearest to -10 in w, 3\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/(66825\/(-66)))\/(22\/3).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 110560*p - 552408. Determine b(5).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*y - 826 - 8*y - 8*y + 94*y**2 - 5*y - 5*y wrt y.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-4)\/(-50))\/(252\/(-7560))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 g when four letters picked without replacement from {g: 5, t: 2, o: 3, s: 2}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 11. Suppose 30*m - 40 = w*m. Calculate the least common multiple of 4 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61894339 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 5*y - 7*y**2 + 0 + 16831\/6*y**3. Let k be d(-6). Round k to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 11. Suppose 45*q - 38*q = 1197. Let k = q + -161. What is d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-192)*9)\/((-56)\/32)?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a**2. Let q(m) = 2*m**3 - 85*m**2 + 3*m + 2. Let y(r) = -6*o(r) + q(r). Let k(g) = -g**3 - 1. Give 4*k(h) + y(h).\nAnswer: -2*h**3 - h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9\/45)\/(4\/8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/204 and 37\/221.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 15*k**2 - k. Let p(b) = b**3 - 19*b**2 + b - 1. Calculate the least common multiple of u(1) and p(19).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - -36. Differentiate 114 - 160 + 111*s**4 + l wrt s.\nAnswer: 444*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + 30. Let v = h + -146. Let i be -1*14\/4*-2. Is v <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 16. What are the prime factors of c(-23)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022776 to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*o - 9*o + 3*o**4 + o**4 + o**4 + 10*o**4 + (5*o - 6*o - 9*o)*(-o**3 + 2*o - 2*o) + 4*o**2 - 4*o**2 - o**4.\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3345 = 2737. Let n be -2 - -1 - (-12 + 2). Suppose 0 = 3*c + n - 66. What is the highest common divisor of t and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {y: 1, o: 2, q: 2, u: 8}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (64 - (-39866)\/(-620))\/((-6)\/10). Determine z, given that 3\/2*z**3 - 2*z**4 + a*z**5 + 0 + 0*z + 0*z**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 27*q**2 - 179*q + 45. Calculate z(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*3224457\nAnswer: 967337.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -8.1. Which is the closest to -4? (a) -3 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8886939 or -8886943?\nAnswer: -8886943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-104266)\/36 - 24\/108)\/6. Let y = t - -939\/2. Let x be 12\/((-3)\/(-1)) - 18. Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u = 2. Let l = 4 + u. Suppose -3*a - 110 = -0*m - l*m, 55 = m - a. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53919 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1520200400 + 3?\nAnswer: -1520200364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 3*f + 3*f + (-f + 0*f + 3*f)*(-3 - 2 + 0)*(-1 - 3 + 3) + f - 2*f + 0*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - 5*y + 29. Let x(l) = -9*l**2 + 12*l - 58. Let h(p) = -7*d(p) - 3*x(p). Let f = 10 + -17. List the prime factors of h(f).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2378 - -2377. Let n(d) = 3*d**2 - d - 1. Determine n(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33\/(-15) + 2 + (-42)\/(-10). Let w be (-1 - -1060) + m + -8. What are the prime factors of w\/20*-2*-2?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 945 = -15*o. Let k be (4\/5)\/(0 + 3\/o). Suppose -3*c = -9 - 6, 0 = -3*x - 3*c + 27. Calculate the greatest common factor of k and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**2 + 28*g. Calculate the remainder when 28 is divided by b(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*-4*(-8)\/96.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b760c4 (base 14) in base 2?\nAnswer: -10111101010000100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 85, -1, 3\/64 in descending order.\nAnswer: 85, 3\/64, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/108284 and -59\/749.\nAnswer: 757988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958066 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 + 9*m - 10. Let v be q(7). Suppose -12 = -2*u - u. What is the derivative of 5 - v*y + u*y - 7 + y**4 wrt y?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 + d + 2. Give b(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 0.03\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 21*y - 12. Give v(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2392 by 4.\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Find the third derivative of -o**2 - o**3 + 6*o**g + 2*o**2 wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3021119 is divided by 131352?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -51. Let z = a - 34. Let d = z + 14.2. Round d to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g**3 - 14*g**3 + 7*g**3)*((2*g + 1 - 1)*(0 - 3 + 2) + 1 + g - 1 - 3*g - 615 + 615 + (5*g - 4*g + 0*g)*(0 - 1 - 1)).\nAnswer: 126*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22697036867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 2. Let i be (-8)\/(-3) + u\/3. List the prime factors of (-5)\/(-3) - i\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4db04b (base 14) in base 9?\nAnswer: 5035518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1242.3l?\nAnswer: 1242300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 + 2*j + 43. Let v(l) = -2*l**2. Calculate n(v(t)).\nAnswer: -12*t**4 - 4*t**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.051 and -147.7452.\nAnswer: -7.5350052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 0)\/(0 - -4)*(-1)\/3. Solve -4*v + 3 = -9, r = -3*q + v - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 12:19 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 + 3*k - 2. Suppose -5*h + 4*l = -h, 12 = 5*h - l. Suppose m = 4*m + h*d + 9, -12 = 3*d. Let g be y(m). Sort -1, -7, g in descending order.\nAnswer: g, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(93\/(-56)) - 1.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 372663210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -363\/7. Sort q, 3, 1\/3 in increasing order.\nAnswer: q, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3686 is divided by 896?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7340704 = 124*l - 25202036. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*f + 168*f - 15 = 5*g, -2*f + g + 3 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/3 - 11449*x**2 + 22240920*x = 0.\nAnswer: 0, 2067, 32280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 1 - 6 + 7*f**2.\nAnswer: 12*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.4 (b) 2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (4 - ((-7 - -16) + -3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 25 + 35. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(648) + 5*sqrt(648)) - sqrt(648))\/((sqrt(210)\/sqrt(5))\/sqrt(7)*-5).\nAnswer: 222*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3023013 (base 5) to base 14.\nAnswer: -1396c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -16 - 7*(1 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 8615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (340205 - 340205 + 1719*v)*(v**2 + v**2 - 5*v**2).\nAnswer: -5157*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76639.51 millilitres?\nAnswer: 76.63951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 124. Let d = 80.87327806126 - -0.12672150874. Let o = a + d. What is o rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:18 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u - 8. Give j(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m. Let y(o) = -2 + 3*o**2 + 2. Give w(y(k)).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Let f = -1009\/3432 + -45\/1144. What is the closest to -59 in f, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 6:32 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (0 - 2) + (-37 - (14 + -99 + -24))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - t**2 - 2*t**2)*(3*t**2 + 4*t**2 - 5*t**2 - 4*t**2 + 0*t**2 + 2*t**2 + (-t + 3*t + 0*t)*(4*t - t - 4*t) + t**2 - 4*t**2 + t**2).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, 2, -15, 0, -279 in descending order.\nAnswer: 2, 1, 0, -10, -15, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2095*s + 5. Let u(b) = 2*b - 4. Determine u(w(z)).\nAnswer: -4190*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3489108 by 1744554.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -15*m + 19. Let x(z) be the first derivative of 0*z**4 + 5 + z**2 + 0*z**3 + 0*z + 3\/5*z**m. What is the second derivative of x(g) wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(7)*-2) + 4)*-3.\nAnswer: -12 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 636 and 2332.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 257983121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 50?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -45*n - 4. Let b(f) = 3333*f + 297. Let u(v) = 4*b(v) + 297*h(v). Let l(t) be the third derivative of -t**4\/4 + 7*t**2. Determine u(l(r)).\nAnswer: 198*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 140?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 2. Let v(l) = -2*l + 3*l + l + 225 - 226. Let z = 2 - 7. Let g = -426 + 428. Calculate g*x(b) + z*v(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93652 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3195 (base 11) to base 7\nAnswer: -15204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*f**2*t**3 - 6*f*t**2 + 5*t**3 + 3*t**2 wrt f.\nAnswer: 156*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgb when three letters picked without replacement from ggbbbbgbgggbbbbbqgg.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1\/(-54))\/((-271)\/813)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-490)\/(-588)*(-27)\/70*4\/(-3)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -504462, -504445, -504416, -504369, -504298?\n\"Answer: i**3 + 10*i - 504473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 10 + 4*c**4 - 3*c**3 - 4 in the form w*c**3 + s*c**4 + l*c + z*c**2 + b and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 smaller than -35441\/1791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 216681228 to the power of 1\/2, to the nearest integer?\nAnswer: 14720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 420546 + 5?\nAnswer: 420553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 437538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/24 - s**2 - 4*s - 50. Let u(r) be the second derivative of q(r). Let i(d) = -11*d. What is u(i(v))?\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 3*n**2 + 17 - 22 - 18*n**2 - 15*n.\nAnswer: -5*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315345 times 51?\nAnswer: 16082595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2037289 - -5.\nAnswer: 2037294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**5 - 18045*g**4 - 144130*g**3 - 324090*g**2 + 135*g + 486135 = 0. What is g?\nAnswer: -3601, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -72bb - 4?\nAnswer: -72c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -31*q**2. Let x(y) be the first derivative of -4*y**3\/3 - 21. What is x(k(r))?\nAnswer: -3844*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35593896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126*c**3*x**2 - 2*c**3 - 10034*c**2 + 9373*c*x**2 + 18*c - x**2 - 1 wrt x.\nAnswer: 252*c**3*x + 18746*c*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (45\/6)\/((-11)\/(-4) - 2). Suppose 0 = b - 0*b. Suppose r = 11 - b. Are r and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*s + 837 = 0, -5*g + 2*s = 4*s - 2140. Suppose -3*x + 60 = -g. Suppose 5*a = -22 + x. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.84456 to 2 decimal places.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38765781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/5 - 468234*l**2\/5 - 374592*l - 1872968\/5 = 0 for l.\nAnswer: -2, 234121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 8*o**2 + 8*o - 5. Suppose -2*b - 3*n = 12 - 6, -32 = 4*b + n. Give c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37 + -8 + 0 + 0. Let a = -6 + p. Let w = 27 - a. Solve -w*d = -0*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppupupuvuupvu. Give prob of picking 4 u.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 4, -3\/5, -0.04?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2079)\/495)\/((-6)\/1330) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110 - 11?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*g - 515*g - 939*g - 1110*g + 705*g as y + i*g and give i.\nAnswer: -2056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 7) to base 15\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 914512271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f + 11. Let l(m) = 6*m - 4. Let c(z) = -25*z + 15. Let b(t) = 2*c(t) + 9*l(t). Determine -11*b(w) - 6*k(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 67*s + 45 + 9*s + 13*s + 88*s.\nAnswer: 177*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + ((sqrt(63) + sqrt(126)\/sqrt(2)*-2)\/(sqrt(9) + -4*sqrt(36)\/sqrt(4)) - 1*((sqrt(847) - (sqrt(847) + -1))**2 - (sqrt(175) + 1)**2))).\nAnswer: -360 - 62*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499938 to the power of 1\/2, to the nearest integer?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 3.9 (c) 0.04 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -553, -539, -525, -511, -497, -483?\n\"Answer: 14*z - 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/581 - 29028\/6391. Find the common denominator of ((-16)\/(-48))\/((-2)\/4) and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 97*i + 5849. List the prime factors of j(105).\nAnswer: 2, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3250*p**2 - 5421 with respect to p.\nAnswer: 6500*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3205 = r, -7*c = -5*r - 5*c + 15979. What are the prime factors of r?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270)\/(-12))\/3*4*(-5)\/10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2889*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 72 = -36. Suppose -16*k - 8 = -r*k. Suppose -a + 8 - k = 0. Is a less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.645148 centuries in millennia?\nAnswer: 0.3645148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2571085 (base 10) to base 16\nAnswer: -273b4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 64 in 4, -2\/11, -2, 0.11, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*l + 2, 5*l = 4*r - 2 + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*m = -7, 2*d + m - 2*m - 11 = 0. Solve 0*f + f - 20 = 3*p, -f - 10 = d*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 13737738.\nAnswer: 12363964.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-12)\/(-20)*165\/99.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**2*j**2*z - 3*b**2*j - 1005*b**2*z + 69*b*j**2 + 1 wrt z?\nAnswer: -b**2*j**2 - 1005*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 39, 3, 0, -3 in increasing order.\nAnswer: -65, -3, 0, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 115*l - 4. Let o(z) = -30*z + 1. Calculate 3*k(h) + 12*o(h).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 6. Let i(r) = 1. Let g(w) = 2*w + 19. Let x be g(-9). Let b(o) = x*u(o) - 6*i(o). Let m(y) = y. What is m(b(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51.5 - -43. Let r = -9 - d. What is the third smallest value in r, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 38*g - 25116. Let o be (78\/36)\/(7\/g). What is the highest common divisor of 65 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25 - -0.21. Which is the nearest to d? (a) -3 (b) 2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14718220 divided by 735911\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -98?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(-5*sqrt(28) - sqrt(7))*-2)**2 + 0.\nAnswer: 28\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4864, -2926, -988?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4749 - 4604. What is the remainder when n is divided by 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.08 + -8. Let q = -0.08 + f. Sort q, 2\/9, 0.4, -1.\nAnswer: -1, q, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8) - 1007\/(-212)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*s**3 - 6360*s**2 + 3165*s - 395.\nAnswer: 5*(s - 79)*(4*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 2. Suppose -3*u + 247 = -317. Let b = -189 + u. Let z(n) = -n. What is b*j(d) + 4*z(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = 2*z - 22, 3*z = -5*x + 47. Suppose y - x = 2*d + 4, y = 3*d + 14. Let c(m) = -5*m. Let n(f) = 8*f - 3*f + 6*f. Determine d*n(s) - 7*c(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-117))\/(180\/(-78)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376981 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: Let m = 131.92 + -101. Let o = 31 - m. Let p = -13 - -12. Put 5, p, o in increasing order.\nAnswer: p, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425232, -850498, -1275796, -1701126, -2126488?\nAnswer: -2551882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 38*h**2 + 7*h**2.\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -376417*l**3 + 2*l**2 - 176*l - 160?\nAnswer: -2258502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 20*h + 40. Let q be n(-2). Sort -5, q, -12, -3 in increasing order.\nAnswer: -12, -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225031?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-110)\/20)\/((-1)\/2). Let h(p) = -p + 26. Let a be h(b). Factor 5 + 15*l**2 - a*l - 2*l**3 - 3*l**3 + 0.\nAnswer: -5*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((10\/(-8))\/(-5)). Is (6 - (-2805650)\/70) + u\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 9364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -30. Solve -t = -5*c + 25, 0*t = 5*t - 3*c + m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15440 and 1878?\nAnswer: 14498160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -2*o - 31 + 28, -m = -1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 8*z + 82. What is b(14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*n = 17 - 8, 2*l + n + 6 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 95*h + 177. Let d be (12\/(-14))\/(42\/(-294)). What are the prime factors of o(d)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1285*x + 32558171 - 32558171.\nAnswer: -1285*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 17*d**2 + 39*d + 106. Determine i(-12).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 206 or 77028?\nAnswer: 77028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39337 and 13867?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 = n + l, -2*n + 5*l = -11. Sort 5, n, -4 in increasing order.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y = 12*y + 51*y - 241800. What are the prime factors of y?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 41 + 49 = 0. Solve 4 - l = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66.353 + -3.607. Round w to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(8)\/sqrt(4) + 0 - (-3 + 0 + sqrt(2) + -5).\nAnswer: -6*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 13 = 2*y, -5*y = -y - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.008 * -80204\nAnswer: -641.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 0*s**2 - 3*s**2 + (1514*s - 234*s + 155*s)*(2 - 2 - 2)*(s + s + 0*s + 2) in the form u*s + h*s**2 + y and give h.\nAnswer: -5741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = i + 11*v - 115, -2*i + 210 = 4*v. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 11*o**2 - 9*o - 11. Let l be k(10). Which is the nearest to 0.1? (a) -5 (b) l (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -1 (c) 2 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 4. Let t = 100 + -89. Calculate the remainder when p(-12) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, s: 2, o: 4}. Give prob of sequence osns.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from bbeb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8439415 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3, -44, 0, 1748 in ascending order.\nAnswer: -44, -3, -2, 0, 5, 1748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:47 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1345175\nAnswer: 1345175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c - 1. Let p(f) = -2*f. Let v(m) = -m**2 - 13*m + 14. Let j be v(1). Suppose j = 8*b - 17*b - 45. Give b*p(y) - 3*r(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 14*u**2 + 99*u - 214. List the prime factors of f(25).\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.12 (c) 0.2 (d) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 3*j**2 + 5 + ((2 + 4 - 5)*(-j + 4 - 4) + (-2 + 2 + j)*(1 - 1 - 1) - 1 - 2*j + 1 - 3*j + 45*j + 68*j)*(2*j + j - j)*(1 + 0 + 0).\nAnswer: 215*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52\/5 of a microgram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78170621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -101. List the prime factors of n.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2\/3 + 28734*t - 517104 = 0.\nAnswer: 18, 86184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 5049509.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7914913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*x - 661110 = 183*x. What are the prime factors of x?\nAnswer: 2, 22037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885922 divided by 1?\nAnswer: 1885922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*v + 4*r - 4, -5*v - 26 = -3*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4288*h**3 + 4287*h**3 + 0*h**5 + 3*h**5 + 106*h**4 - h**5 + 1 - 1 + (0*h**2 + h**2 + h**2)*(-4*h**3 + 0*h**3 + 2*h**3).\nAnswer: -2*h**5 + 106*h**4 - h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 50aa9 + 0?\nAnswer: 50aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24301 - 242?\nAnswer: -30043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 4.5.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3832047*n**3 + 1469036.\nAnswer: 11496141*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5345366 (base 7) to base 8.\nAnswer: 2365704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**6\/72 - p**4\/3 - 3*p. Let t(x) be the third derivative of w(x). Let d(s) = 2*s**2. Determine d(t(a)).\nAnswer: 200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 9540\/(-252) + (60\/21 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*j**4 - 445*j**3 + 1835*j**2 + 385*j = 0. Calculate j.\nAnswer: -1\/5, 0, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 20\/16)\/(13*(-4)\/(-208)). Let j(x) = 4*x**2 + x - 2. Let o(g) = -3*g**2 - g + 3. Determine k*j(h) - 2*o(h).\nAnswer: -6*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from ccucccccuucccucdcu.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1129 and 0.1.\nAnswer: 112.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -360*p - 229. Is f(-14) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**6*l*l\/l**0)**20*(l**0\/l)**(-1\/13)\/(l**4*l\/l**(-3\/5)) assuming l is positive.\nAnswer: l**(-4259\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*(39 - 39). Which is bigger: 5\/48 or v?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 27. Let o(t) = -9*t - 297. Let u(d) = -45*c(d) + 4*o(d). Let f be u(-3). Solve b - 4*b - 12 = f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m. Let w(d) = 12*d. Give h(w(o)).\nAnswer: -96*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15*1*-14*(114\/(-874))\/(510\/(-1564))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/54372 and 67\/116427.\nAnswer: 10711284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2140 is divided by ((-4)\/(-5))\/(94\/15745).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*o**2 - 7*l**3 + 9*l**2 - 8631556*l*o**2 - 151196*l with respect to o.\nAnswer: -4*l**3*o - 17263112*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1641\/188 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 20194.\nAnswer: -7\/20194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1264767730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 5*g**2 + 3*g + 2. Let u be 7*2\/14*6. Suppose -u*l + 8 = -4*l. Determine h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/60 - 7*v**4\/24 - v**3 - 3*v**2. What is the units digit of q(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p**2 + 372582*p - 372582*p. Let x(g) = 12*g. Give t(x(v)).\nAnswer: -1296*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 922*v**6 - v**3 + 3*v**2 + 2*v + 1696.\nAnswer: 110640*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7055398 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Let a be (1 - -1)*9\/30*o. Suppose 0 = -a*z + 2*m + 94, -2*z + 2*m + 78 = 18. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*p + 9. Let u be p\/((-15)\/(-12)) - -4996. Suppose 16*x - 18*x = u. What is x rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 1. Let p(i) = 4*i**2 + 6*i. Let b(m) = -p(m) - 5*z(m). Let y be b(5). Calculate the common denominator of ((-4)\/y)\/(1\/70) and 53\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4105 = -7*i + 2790. Suppose i = 4*x + x. Let t = -120 + x. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/15 (b) -404\/31 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*2\/4)\/(-205 + 254 + (-4557)\/28)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16*g**2 - 523*g - 181. What is f(33)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220121 + -1000?\nAnswer: 212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 0*q + w + 15, 4*w - 3 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u - 2. Let a(p) = 29*p + 17. Give -3*a(n) - 24*h(n).\nAnswer: -207*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123419 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*i + 3*a - 47, 47 = 5*i + 3*a. What is the remainder when 33 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 55*b**4 + 13*b**3 + 13*b + 34. Let v(z) = -27*z**4 - 6*z**3 - 6*z - 17. Let f(h) = -13*v(h) - 6*w(h). What is the derivative of f(q) wrt q?\nAnswer: 84*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 84339*u**2 + 84339*u**2 - 4179*u**3 + 2*u.\nAnswer: -4179*u**3 + 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a = 6. Let q = 1 + a. What is the derivative of -q + k + 3 - k - k wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndenndnende. What is prob of sequence deen?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -20*m - 6*m + 2 - 11*m. What are the prime factors of a(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o + 3. Let x be a(3). Let v = 4 - -1. Suppose -3*z + 5*c = -31, -3*z - x = -7*z - v*c. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 59*s - 23. Is p(6) 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 20 and 2348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:35 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n - 5*q = 21, q = 5*n - 9. Suppose -5*m = -3*h + 2, 4*h - 21 = -3*m + n. Suppose h*u - 165 = -7*u. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((6 - 12)\/(-434082)) + 6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 23*c**2 - 72*c + 1660. Let u be z(23). Factor 2\/9*s**5 - u*s**4 - 32*s**2 + 128\/9*s + 0 + 194\/9*s**3.\nAnswer: 2*s*(s - 8)**2*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmmkkmkmk. What is prob of picking 3 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -73. Suppose 3*s + l = 63, l + x = 2*s - s. Calculate the remainder when 153 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3987770 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5337 and 550897?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (3 + -3 - -1) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -9*m**6\/80 - 9*m**5\/160 + 11*m**4\/16 - 11*m**3\/12 + m**2\/2 - 417*m. Suppose z(n) = 0. What is n?\nAnswer: -2, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + ((-192)\/28)\/3 + 34\/(-17). What is the third biggest value in 1\/28, -3, l, 0.9, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006741055639 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -1\/4*v**4 + 2*v**2 + 2*v - 19 + 4\/3*v**3. Let o be l(-5). Calculate the greatest common factor of 23 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16678.\nAnswer: 2, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = -5*b + 12, -5*b + 21 = 4*y. Let p be y - (220\/38 + -2). What is the third smallest value in 1, 0.4, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -9*p**4\/2 + 2*p**3\/3 + p**2 - 2. What is the units digit of o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 5*l**3 + 30 - 51 + 36.\nAnswer: -5*l**3 - 6*l + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 48 = -4*b - 2*f, 3*b - 2 = -5*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*w - 31. Calculate the remainder when w is divided by 8 + 10\/(30\/9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1151689940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 14, -23, -6, -1, 5, 4 in increasing order.\nAnswer: -23, -6, -1, 4, 5, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14346\/(-27))\/(10\/510). Round f to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.2*34.\nAnswer: 346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:25 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-638)\/(3 + (-39)\/12). Is (g\/110)\/((-2)\/(-5)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 w, and 1 g when three letters picked without replacement from cwjwawwccrgww?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -825380?\nAnswer: 825388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3854877 and 1530?\nAnswer: 1965987270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 - -1009 - (29 + -2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 times -0.1?\nAnswer: 29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**4 - 15*a**2\/2 + 4361*a + 548. Differentiate w(b) wrt b.\nAnswer: -12*b**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512305 (base 6) to base 13.\nAnswer: 156c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -8183.4.\nAnswer: 8188.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - w - 1. Let s be ((-1)\/2)\/((-7)\/(-14)). Let z(y) = y**3 + 9*y**2 + y + 1. Let k(v) = s*z(v) - 4*t(v). Is 20 a factor of k(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 138*l**3*r + 2*l**3 + 103*l**2*r + 2*l**2 + 7*l + 135*r + 39 wrt l.\nAnswer: 828*l*r + 12*l + 206*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*9 - (-20 + -774). List the prime factors of (u - 10) + (0 - -1).\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 110980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 2*j. Suppose -a = 10 - j. Let x(v) = -3*v + 1. Let d be x(1). Put a, d, 1 in descending order.\nAnswer: 1, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 2:16 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*m - 2*m - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -116. Let x(g) = -g**2 - 3*g - 3. Let v be x(-3). What is the closest to 2 in c, v, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -34*q + 341. Let z be p(10). Which is the nearest to z? (a) 0.1 (b) 481 (c) -3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1691 times 32.744\nAnswer: -55370.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*b - 32*b**2 - 35*b + 18*b.\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 811063 - 10381063. What is u rounded to the nearest 100000?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*b + 12318 - 31*b**2 - 8478 - 11115 wrt b.\nAnswer: -62*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.8 + -153833.\nAnswer: -153813.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/23)\/((y*y**(-28))\/y*y))**43 assuming y is positive.\nAnswer: y**(26789\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/7 in 110\/7, -5, -1, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*h + 10 + 27 = 0, 2*h = -4*s + 26. Suppose s*y - 3*y + 4*y = 0. Which is smaller: y or 4\/43?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1002, 15, -2, 83.\nAnswer: -1002, -4, -2, 15, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -9 + 22 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = -20. Suppose -g*z = 4*w + 2, 2*z = 3*w + 2*w - 14. Suppose -o - m + 6 = -w*m, -3*m + 52 = 4*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9 + 1)\/(-2))\/2. Let z be 5196\/10408 + (-1)\/p. Let r = -16923\/13010 - z. Calculate the common denominator of r and 61\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 130. Let r be f(42). Sort -9, r, 656 in descending order.\nAnswer: 656, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by 11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 x when four letters picked without replacement from oawooadoaxwxdaowox.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*r + 40*r + 5*z - 10, -5*r + 3*z - 10 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -9, 2*m + 35 = 3*t + 128. Suppose 6*w = -6*w - 240. Let j = w + m. What is the remainder when 41 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176 divided by -41?\nAnswer: -1176\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1365 and 280410?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3 - 364*k**2 + 117150*k + 22140072 = 0?\nAnswer: -213, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p\/(p**(-1\/8)\/p)))\/(p\/p**(-2\/17)*p*p*p))**(-8))**33)**(-4) assuming p is positive.\nAnswer: p**(-94116\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44964145 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 17*f**2 - 29*f + 25. Let a be t(-15). Suppose -4*o = 4*g - 564, 0 = 3*g + a*o - 5*o - 425. Does 70 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-122.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78768368 and 9783.\nAnswer: 708915312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.007 from -1.35641.\nAnswer: -1.36341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144 + -144.05. Let v = 1.7 + -0.7. Let l = -1 + v. Is l at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 12:31 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*12\/(-9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3434235266.\nAnswer: 2, 7, 11, 457, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - -1 - (1155 + -1082)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -426925 > -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-9 + -2) - 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.0268 rounded to 0 decimal places?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m**3 + 3 - m**3 + 0*m**2 + m - 3*m**2. Let v be q(-3). Suppose -4*z + v*z = -16. Let s(d) = d**3 - 3*d**2 - 6*d + 5. Give s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 60.5, 4\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 253*v**2 - 3 - 5 - 10*v + 289*v**2 - 3. Is t(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12500, -12940, -14136, -16466, -20308, -26040, -34040, -44686?\n\"Answer: -63*n**3 + n - 12438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 10:26 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {a: 1, t: 1, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1248\/65)\/(-16)*-2.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 6*y + 3. Let d be t(6). Let p = 4 - d. Suppose -p = o + 2*u, -u = -5*o + 3*u + 51. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/15*(-8 + 3). Suppose w + w - 6 = 0. Let k = 1 + 3. Which is the nearest to u? (a) k (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 - 12*u + 9. Let i(j) = j + 6. Let k be i(-15). Let a be g(k). Suppose -x = -5*b - 73, 5*x - 3*b + a = 357. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmdc when four letters picked without replacement from {m: 1, c: 4, r: 2, d: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2556?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/21)*v*v*v\/(v\/(v\/v**(-11))))\/(v\/(v\/v**12*v)*v*v**21\/v) assuming v is positive.\nAnswer: v**(-355\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139567 and 1198?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -z + 4*z. What is the closest to -2 in -5, 2, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*j + 3 - 1, -2*m = -2*j + 4. Let y = 4 + m. Suppose -2*n + y*n = 10. What is the remainder when 28 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, 1 n, and 1 x when four letters picked without replacement from {h: 2, s: 4, n: 3, c: 1, x: 3, b: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60636194 to the power of 1\/2, to the nearest integer?\nAnswer: 7787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 + 5 + 4 + 2. Solve 0 = -b*n - 2*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*b + 229*b - 343*b - 244*b to the form w + c*b and give c.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*z + 6, -3*z + 3*c + 320 - 311 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 27*p - 4696. Suppose -1624 = -2*k + p. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, v: 3, b: 2, d: 1, p: 3}. Give prob of sequence pv.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*z - 172*z = 4*p + 61, 3*z = p - 6. Put -5, p, 12, 2, 1 in ascending order.\nAnswer: p, -5, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u + 6 - 10*u - 7 + u**2. Give n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/171 and -82\/1187505.\nAnswer: 22562595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 80. Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1814099 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -4\/7 (b) 7 (c) 1\/13 (d) 2\/323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.6 and 118.\nAnswer: 778.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 + 3*q**2 - 3*q**2 + 0*q**2 + 3*q**2 - 4*q**2 + (-2 + 4 - 1)*(-q**2 + 1 - 1) + (-3 + 2 - 1)*(q**2 - q**2 + q**2) + 436*q**2 - 216*q**2 - 221*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-2 - 24\/(-10)). Let n = -0.7 + 3.7. Let s = 111946 - 447785\/4. Which is the nearest to z? (a) s (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*n - 10. Calculate the lowest common multiple of 6 and n\/(-8) - (354\/(-24) - -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 414*y**2 + 4148*y + 19. Let h be g(-10). Let v = 5771 + -29166\/5. Is h at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*d = -812 + 297, -265 = -2*j + 3*d. Suppose -j = -b + 2*i, i + 31 + 324 = 3*b. What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/6 - 616*v - 2. Let z(y) = -414*y. What is k(z(m))?\nAnswer: 342792*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 + 9 = 0. What is the remainder when 2 is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1209, 4861, 10947, 19467, 30421, 43809, 59631?\nAnswer: 77887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (-4 + (sqrt(21)\/(sqrt(2401)\/sqrt(7)) - (sqrt(192) + sqrt(192) + 1)))**2.\nAnswer: 1110*sqrt(3)\/7 + 38139\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 - 13)*(0*y**2 - 2*y**2 + y**2)*(8*y - 7*y + 4*y) in the form a*y + g*y**3 + b*y**2 + x and give g.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -0.001818 (b) 3 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 5.39, 2\/3, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.4 * 1107.3.\nAnswer: 34769.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 18*g**2 + 23*g - 9. Let c = 151 - 134. Is 11 a factor of m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-7 + (7 - 0) - (-931)\/154)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 162 + ((-24)\/(-4))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2) - (-5)\/10. Suppose -5 - 15 = -l. Solve -w + l = r*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(40)\/sqrt(5)) + -3 + sqrt(891) + sqrt(11))*5.\nAnswer: -15 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 393 + 371?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 229.311 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*p + 2*p + 1339, l - 4*p - 437 = 0. Let t(d) = 166*d + 7974. Calculate the remainder when 6\/27 - l\/(-27) is divided by t(-48).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -390*i - 1. Suppose 4*v + 5*n - 2 + 6 = 0, -v + n = 1. Is w(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9)\/(2\/9). Solve 0 = -z*u - 17 + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -38. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 14. Let k be f(0). Suppose -2*l + 6*l + 21 = 3*d, l + 12 = 3*d. Suppose -3 = y + 5*g, -7*y = -2*y + 3*g - 7. Solve -y = d*z - k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10117198783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 366123833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173409033.\nAnswer: 3, 7, 139, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 17 (c) -2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11733, 11736, 11749, 11778, 11829?\nAnswer: 11908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.92595 centuries to millennia.\nAnswer: 8.692595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4895*x + 186847 + 234384 - 132426 = 0 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + s + 1. Give i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13*v**2. Let t(w) = 3*w**2 + 4*w - 4. Let y(z) = -12*z**2 - 15*z + 15. Let u(d) = 15*t(d) + 4*y(d). What is h(u(m))?\nAnswer: -117*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 130228.\nAnswer: 130227.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.8 + -684063.\nAnswer: -684073.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15 + 16)*(0 + 1 + 86). Let s = l + -82. Suppose -s*q + 262 = 4*g - 3*q, 0 = -5*q + 15. What is g rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.855 and -5261.\nAnswer: -20281.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - 655\nAnswer: -655.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3003 + 3003 + 69*w)*(-1 + 56*w**2 - 56*w**2 - 2*w**3).\nAnswer: -138*w**4 - 69*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r = -427 + 37. Solve -r*t = -35*t - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42262 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 809825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 5 + 25*c - 5.\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2464 and 318304?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 87.56 in ascending order.\nAnswer: -2, 5, 87.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6722 - 5570. Calculate the highest common divisor of 108 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 8:53 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 4*s - 3. Give r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11733983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from zzuduzduu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1035 by 3.\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/242136 and 149\/1728.\nAnswer: 1937088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55397\/1617 - -377\/11. Sort -2\/3, n, 1 in decreasing order.\nAnswer: 1, n, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07971 + 376.02029. Let q = 395 - y. What is q rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n + n + 0*n - n. Let y(x) = -6*x - 1. Suppose 0 = -w - 2*j - 5, -6*j = 3*w - j + 10. Let v be (2\/5)\/((-2)\/(-10)). Determine v*y(k) + w*z(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-206)\/(-14) - 5\/(-70)*4. Calculate the highest common factor of y and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184*a**3*v**2 + 158*a**3 + 69*a**2*o*v**2 + 2*a**2*o*v - 41*a**2*v wrt v?\nAnswer: 368*a**3 + 138*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -13*k - 205. Let v be t(-14). Let b(w) = w**2 + w - 33. Let z be b(0). Let o = v - z. What is the greatest common divisor of o and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 3, -1 in descending order.\nAnswer: 4, 3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126288 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - 2*l**3 + 66*l - 62*l + 2*l**4 - 3*l**2 to u*l**3 + q*l**2 + k*l**4 + y*l + h and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/78)\/((-4)\/156*9) + 2211\/27.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*n - 51, -375*n + 380*n = -4*x - 69. Let l(t) = t**3 + 9*t**2 - 5*t - 47. Determine l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - u**2 + 5*u**2 - u**3 - 2323*u - 4*u**2.\nAnswer: u**3 - 2323*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*3 - (sqrt(171) - (sqrt(171) + -1*(sqrt(171)*-1 + sqrt(171)) + sqrt(171))))\/(((sqrt(288) + sqrt(18))*-5)\/(sqrt(20)\/(sqrt(40)\/sqrt(4)))).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 - 2545*o + 2545*o.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 468\/2457*((-495)\/22)\/15.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -44.599 and -43904052.\nAnswer: -43904096.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1274*a**3*c**2*r + a**3*c*r - 1422*a**3*c wrt c?\nAnswer: -2548*a**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w**3 + 8*w**3 + 7*w**5)*(8 + 6 - 7).\nAnswer: 49*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*t + 1992 + 276 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -19. Let o = s - -4. Let w = -0.131 - -0.331. What is the closest to -2\/7 in o, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5957 and -44194853591.\nAnswer: -44194847634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/17721691 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 1 + 2*f**3 - 28*f**2 + f + 24*f**2. Is m(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - -3?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/4 + 17*u**4\/4 + 14*u**3 + 13*u**2.\nAnswer: u**2*(u + 2)**2*(u + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3\/4 + 7869*i**2\/2 + 31437*i + 47142 = 0. What is i?\nAnswer: -5238, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 1285*s - 15497. Determine o(12).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(75)\/((sqrt(30)*-4)\/sqrt(6)))\/(sqrt(21)\/(sqrt(7) - sqrt(49)\/sqrt(7)*-1)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.5, -26, -604, 0.5 in descending order.\nAnswer: 0.5, -2.5, -26, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 57*13\/(585\/12)*80\/(-32)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.247 rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4152 + 41*k**2 - 38*k + 15*k**2 - 4153 wrt k.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6174 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 16 = 4. Let y be (15\/6)\/(2\/4). Suppose -h + y = t. 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: Let w(x) = 2*x**2 - 3*x + 3. Let c be w(2). Suppose 7 = -3*h + 22, b - c*h = 77. Calculate the highest common divisor of b and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14440 divided by 2888?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(4617) - sqrt(57))*-1)\/((sqrt(48) - (sqrt(48) + (sqrt(48) - sqrt(144)\/sqrt(3)))) + -2*sqrt(3)*2 + sqrt(3)).\nAnswer: 26*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15283045 and 542.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3 + 3*m**2 - 2*m + 0 - 2*m**2 - 3 - 2. Determine y(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1848 and 7289808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(-2 - 3 + 4) + 0 - 1 + 0 - 4 + 1 + 1)*(-2 + y**3 + 2 + (7*y - 3*y - 2*y)*(y**2 - 5*y**2 + 3*y**2) + 3*y**3 + 4*y**3 - 4*y**3).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 3*k + 0*k)*(5 - 4 + 6)*(-12 + 4 + 4) - 6 + 2*k + 6 + (k - 2*k - k)*(3 + 0 - 1).\nAnswer: -58*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1200 = -2*u. Let t = u + 155. What is the common denominator of t*((-21)\/18)\/7 and 81\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353167471, -706334941, -1059502411, -1412669881?\nAnswer: -1765837351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 307891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 22*y**2 + 14*y + 19. List the prime factors of n(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -281*b + 5. Let y(a) = 4*a - 1. What is g(j) + 3*y(j)?\nAnswer: -269*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1079628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -42*g - 49. Suppose 5*k = -5*d - 25, -9 = 3*k - d + 26. What is the units digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-1 + w + 1 + (2 + 1 - 4)*(2*w + w + 0*w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1602*j + 1584*j + 234 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/13020 and -79\/786660?\nAnswer: 24386460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - -2 - -1 - (-2 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnneeenenenmn. Give prob of picking 1 n and 1 m.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -4*t + 3*t. Let g = 41\/383 + -105\/47492. Let h = g - -1555\/248. Calculate the common denominator of h and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 5384103022533?\nAnswer: 5384103022531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 3*b + 4*y - 20, -4*b + 3*y = -35. Solve 2*r - b = -6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 6*v**2 - v + 8. Let w be d(6). Let g = w - 0. Suppose g*y = -8 + 26. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220203 (base 4) to base 2.\nAnswer: -1101000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 r when four letters picked without replacement from {r: 7, f: 1, w: 1, s: 2, l: 2, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31, 56, 369, 1046, 2225, 4044?\n\"Answer: 23*b**3 - 25*b**2 + b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6ab8 - -50088?\nAnswer: 56b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 smaller than 269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -15. Let k(m) = 2*m - 1. Let r be (-4 + 3)\/(4\/(-24)). Let s(t) = r*k(t) - b(t). What is the derivative of s(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 - m - 6. Let z(o) be the third derivative of -o**5\/60 - 5*o**3\/6 - 119*o**2. Let f(h) = -2*t(h) + 3*z(h). Determine f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfnbvnvbfnbffnv. What is prob of picking 2 f and 1 v?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 161*s**2 + 8*s - 15. What is the units digit of i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 9. Let o be g(-7). Suppose -o*n + 12 = -6. Suppose -2*u - 5 = -2*s + 53, -3*s = 5*u - 127. What is the remainder when s is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50290617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*m**3 - 1 + (2*m**2 - 2 + 2)*(0*m + 2*m - 5*m) + 4031*m - 8062*m + 4029*m - 2371*m**3.\nAnswer: -2379*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.9 + -0.9. What is the third biggest value in 4\/7, t, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 31480 = -5*z, -5*a = 62*z - 60*z - 31486. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:25 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 47696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*n**2 - 5*h**2*n + 9160*h*n**2 - 1920*n**2 - 13 with respect to h.\nAnswer: -4*h*n**2 - 10*h*n + 9160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 6*l - 14. Suppose 0 = -4*q + 20, 5*x - 4*q - 27 = -87. Let y be j(x). Suppose 0 = b - y*b + 5. What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 629 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11511607 is divided by 677152.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5571 and 41260683?\nAnswer: 123782049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 276461382551144.\nAnswer: 276461382551139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 65 = -5*r, -26 = -9943*r + 9941*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 2*k)*(3 - 4 + 2)*(7*k + 16 - 16)*(7 + 1 - 4).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 + 57 = 4*o, 52 = -x - 4*o. Let z be 0 + (-49)\/x + (-20)\/16. Do 1\/5 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9 - 23*i + 2*i - 6*i. Suppose 12 = 3*q - 7*q. Does 9 divide k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.78 - -0.5. Let y = p - -0.3. Is y greater than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -25.1. Let f = 27 - 137\/5. Let u = 4 + -2. Which is the closest to x? (a) u (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3250 is divided by 1081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 2:25 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111112)\/(-5548) - (-20)\/(-1)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - (-766580)\/70)*(-1 + -6). Round a to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8197 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 4 (c) -2\/3 (d) 0.306 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-846)\/15)\/((-15)\/100). Calculate the highest common factor of f and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -3\/2, 0.3.\nAnswer: -6, -4, -3\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**14\/w**(3\/8) assuming w is positive.\nAnswer: w**(109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((324\/(-96))\/(-3))\/(4*18\/(-96)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25097 - -22069. Is -3022 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/(-16)*((-42)\/3)\/(-7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196082 is divided by 2614.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let f(v) = -130*v**2. What is f(w(n))?\nAnswer: -520*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5 + 5*m**4 + 130*m**3 + 120*m**2 = 0. What is m?\nAnswer: -4, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**26*a)\/((a\/(a*a**(-19\/5)))\/a))**(-31) assuming a is positive.\nAnswer: a**(-3906\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -840*y + 1850*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111 - -1000011101?\nAnswer: 110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c + c - 10682. List the prime factors of c.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-274)\/274)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-3) + 3\/(-9). Suppose -3*a + 25 = 5*j, a = -0*a + 3*j - 15. Suppose 0 = q*x - a*x - 45. Solve -3*m = 2*m - x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001382512 rounded to five dps?\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1150 - -15?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lloe when four letters picked without replacement from lkeokll?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1956 + -25426\/13. Suppose 0 = h - 2*h - 15. Let z be 3\/(-135) + 3\/h. Which is the fourth biggest value? (a) 5 (b) -0.1 (c) z (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 27. Let x = 0.5 + -1. Sort -3, x, m.\nAnswer: -3, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49472 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -21. Suppose -4*g - 35 = s. Let k = g + 15. Solve 20 = k*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(176) - (2*sqrt(176) + -4) - (0 + sqrt(176) + -1 + sqrt(176))) - (sqrt(132)*1*2)\/((sqrt(12) - (sqrt(24)\/sqrt(2) - sqrt(12)))*-6)*5)**2.\nAnswer: -4220*sqrt(11) + 497831\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8746242.\nAnswer: 2, 3, 1013, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -93 + 139?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000220629 rounded to 5 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -3. What is the smallest common multiple of ((-4)\/6)\/((-4)\/18) and 5\/30 + f\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6792 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222 and 296?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b\/(b*b**(-2\/19)))**(25\/4)\/((((b**(-14)\/b)\/b)\/b)\/b**(-4\/7))**25 assuming b is positive.\nAnswer: b**(195575\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 42. Calculate q(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/5)\/((-9)\/((-306)\/(-119))).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85784326 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -487 divided by 1.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-44 - (-21 - -3)) + 26).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1563 + -1372. Calculate the remainder when o is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3438541?\nAnswer: 617, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-1 + 4 - 2)*(34 - 34 - 21*t) in the form k*t + j and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 948*c - 951*c - 57 = 0 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 746651 and 2460.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85849\/4 + 1\/4*j**2 + 293\/2*j.\nAnswer: (j + 293)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-2)\/8) - -362. Let u be 3*h\/(-72) + (-2)\/(-8). What is the units digit of 94 + 9\/u + 2\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -5514.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b6 (base 16) to base 12.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 121806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 271 or 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**1)\/t**10)**(-11\/2)\/((t**(2\/25)*t*t)\/(t*(t*t*t**(-2\/11))\/t*t))**(34\/3) assuming t is positive.\nAnswer: t**(43202\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8*v = -3*v + 40, v = 5*t - 28. Suppose 0*r + t = -r. Let w(x) = -2*x**2 - 6*x + 6. Determine w(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 427*l*m**3 - 2*l*m**2 - 32*l*m - 2*m**2 wrt m.\nAnswer: 2562*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2146 - -548. Let q(i) = r*i - 2694*i + 1 + 3142*i**2. Is q(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7*p = 108. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121.9034 days to hours.\nAnswer: 2925.6816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1544 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-432)\/(-30) + 2\/(-5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 d when three letters picked without replacement from nwsrvwwdddwsnvs.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**2 - 88*y**4 + 90*y**4 + 7*y**2 + 100 to the form b*y + f + d*y**3 + l*y**2 + h*y**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 + 5*o + 5. Let d be s(-2). Let p be (2\/((-42)\/d))\/(4\/(-14)). What is the second biggest value in p, -1.2, -5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.087 and -912.\nAnswer: -912.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55645*n + 85044.\nAnswer: 55645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1448)\/(-31856))\/(2\/(-16)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 6:54 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:42 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 646556.3 decades?\nAnswer: 77586756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17619 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r - 3. Suppose 2*k = r*k - 210. Calculate the greatest common factor of k and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 38 = 2*g. Let w be g + (-4 - 2\/(-1)). Let v(d) = 2*d**2 + 3*d. Let o be v(-3). What is the greatest common factor of o and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -253*v - 11. Give f(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19350084.\nAnswer: 2, 3, 13, 23, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 88*d + 368. Let y be s(-5). Let q(j) = 4*j**3 - 3*j**2 - 2*j - 4. Determine q(y).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.188216 days?\nAnswer: 621061862400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.36 - -0.04. Let m = -4.07 + 0.07. Let o be (0 - 1)*(-3)\/18. Which is the smallest value? (a) g (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i**2 + 24*i + 9. Let d(y) = 49*y**2 + 98*y + 35. Give 4*d(s) - 18*k(s).\nAnswer: -2*s**2 - 40*s - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 382 - 377.98. Let d = 0.02 - w. What is the second smallest value in 0, -2\/5, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*k + 24*k + 6 - 6*k**2)*(0*k + 3*k - 4*k).\nAnswer: 6*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let n(k) = k + 7. Let v be n(-4). Solve 2*s + v*s = u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -208?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39, -42, -41, -36, -27, -14?\n\"Answer: 2*i**2 - 9*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45895, -90113, -134325, -178531, -222731?\n\"Answer: 3*o**2 - 44227*o - 1671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -331.9 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/5706 and 199\/990?\nAnswer: 313830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - (47 - 25)) + 43.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*d**2 + 505*d**2 - 599*d**2 - 36 + 36.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let j(x) = 50*x**2 + x. Give j(b(k)).\nAnswer: 50*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-2*y**4 + 0*y + 0*y).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - d - 8 = 0, -3*d - 6 = j + 4. What is the third derivative of -j + 3*u**6 + 2 - u**2 - u**2 wrt u?\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -10, 4, 2\/3 in increasing order.\nAnswer: -10, -0.2, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32875035 by 9455.\nAnswer: 3477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-7))\/((-75)\/(-45) + 600\/(-63)). Let f(u) = u**3 - 6*u**2 + u - 6. Let q be f(6). Is y > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 - 25*m + 5. Is j(-11) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2194880 by -438976.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6427171 is divided by 168.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwwwxnwndxd. Give prob of sequence nx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*(-4 + 26\/7). Suppose 0*t + b*t = -22. Let u = t + 51. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 12*l**4 + 14*l**3 - 184*l**2 + 288*l - 128 = 0. Calculate l.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19662.14 micrograms to nanograms.\nAnswer: 19662140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-112) - 7198\/3304 and -151\/14400.\nAnswer: 100800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -13, 0.1, 36.179, -27, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 199*j + 364. Suppose 6 + 3 = -b - f, -4*f + 19 = -b. Let x(o) = -o**2 + 394*o - 729. Let s(m) = b*v(m) - 6*x(m). Factor s(t).\nAnswer: -5*(t - 2)*(t + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276369 is divided by 73.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 4*a - 6, -5*r + 2*r + 8 = -2*a. Let c(o) = -5*o - 3 + 1 + 0*o**2 + 2*o**r. Is c(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32462.755 - 0.0201\nAnswer: 32462.7349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19039, -38032, -57027, -76024?\n\"Answer: -i**2 - 18990*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 56*d**2 + d + 1. Give n(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**3\/y))*(((y\/y**(1\/4))\/y)\/y)\/y)\/(y*((y\/y**(-1))\/y)\/y)**13)\/(y\/(y\/(y\/((y**(3\/5)\/y)\/y)*y))*y*y*y*y**4)**(-32) assuming y is positive.\nAnswer: y**(6411\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309235 is divided by 344?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 2*v**2 - 6*v. Let d be b(7). Suppose 0 = -4*t, -j = -4*t - d - 317. Suppose -2634 + j = -2*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x**3 + 5. Let h(t) = 8*t**3 - 17*t**2 + 17*t + 9. Let z(y) = -3*y**3 + 6*y**2 - 6*y - 3. Let d(w) = -6*h(w) - 17*z(w). Calculate 5*d(u) + 3*l(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 50, 2.\nAnswer: -33, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 56135.8 and 2.8.\nAnswer: 56138.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**5\/2 - 3801*u**4 - 65169*u**3 + 302448*u**2 - 788385*u\/2 + 160713 = 0.\nAnswer: -21, 1, 2, 2551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-2 - 32\/(-14)) + (-15834)\/(-147)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trrr when four letters picked without replacement from rrttrtttrtrrrt.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 15519.\nAnswer: 46557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 1874266.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -227.536 - 0.464. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 111*((-6)\/(-27))\/((-3)\/(-9)). Suppose 48 - z = -s. Does 6 divide 25*3*-2*s\/(-65)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 26 + 3398*q - 3398*q.\nAnswer: -q**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 621129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*a - 5155364 + 11547815 = 49552137. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29307913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - g = -60, -5*l - 4*g + 60 = -0*g. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -356 + 209. Let i = p - -147.06. Put 0, i, -2\/7 in descending order.\nAnswer: i, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, 1.19, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (500\/(-900) + (-4)\/9)\/((-4)\/100)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 216 - 228 = 0, x - 25 = -5*f. Solve x*s = -11*s + 32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (5 - 14) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8491 - 14691. What is s rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.92683ml in litres?\nAnswer: 0.04592683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198*-204.\nAnswer: 40392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15509\/9 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 13*o**2 + 9*o - 14. Let u be l(11). Let j = u + 201. Calculate the highest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2616 and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 33*u**2 + 30*u - 152. Calculate y(34).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -191 (base 10) to base 13\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) 2\/9 (c) -6 (d) -10800 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -6. Let o = m + 0. Let b be 2\/((-1)\/o) + 13. Calculate the greatest common factor of 33 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -164\/3*s**2 + 164\/3 + 2\/3*s - 2\/3*s**3 = 0.\nAnswer: -82, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -736 + 79 + 57. Suppose -2*r + 93 = -7. Calculate the greatest common factor of k and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 5. Give n(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*o + 72 = 0, -1262*h + 198 = -1267*h + 4*o for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6831, -6827, -6819, -6807, -6791, -6771?\nAnswer: -6747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**3 + 12 - 4*x**2 + 8*x**2 + 2*x**5 - 3*x**5 - 11 wrt x.\nAnswer: -60*x**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 7:28 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 3*q**5\/10 - 5*q**4\/12 + 3*q. Find the third derivative of l(x) wrt x.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(15*g + 9*g + 3*g)*(3*g + 3*g - 2*g).\nAnswer: -216*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + -1. Let k = -8 - b. What is the closest to k in -1, 5, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/2 - ((-6517)\/(-38))\/(-49).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(21)*1)\/(sqrt(3)*-1*-5).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -317, 1 in decreasing order.\nAnswer: 1, -2, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 8. Let u(f) = -f. Suppose 0 = 2*a - 5*k - 36 + 6, -5*a + 102 = k. Suppose -a*i - 14 = 6. Determine i*t(g) - u(g).\nAnswer: -g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5671183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 54. Suppose 523 = 3*l + 118. Suppose n = -4*n + l. What is the greatest common factor of q and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7))**(-17))**4 assuming n is positive.\nAnswer: n**476","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 4*f**2 + f + 4. Let p be (-6)\/(2 + 4) - (-6 + 2). Let j be z(p). What is the greatest common factor of 144 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 516\/(-3)*36\/96*3\/((-45)\/20)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-4)*(6840\/(-315))\/38)\/((-38)\/10).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14006 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 71 = -281. Suppose -4*m + w = -12. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180 or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 2*l**2 + 2*l + 13. Give a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 123075540 divided by 5985\nAnswer: 20564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 99*r**3 - 35*r**3 - 4 + 4.\nAnswer: -134*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6992*z + 633292 - 150844 = 0 for z.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 271 + -258. Solve 3*f = 2*k - a - 5, -4*k = 3*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-2) + 90 + -1 + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 20. What is q(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335*z**3 - 9*z + 247*z**2 + 9*z - 69*z**3 + 69*z**3 wrt z.\nAnswer: 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**5\/4 - w**4\/3 - w**3\/6 - 2*w**2 - 6*w + 13. Let x(s) = 6*s**3 - 3*s**2 - s - 3. Determine 3*p(a) - 4*x(a).\nAnswer: -9*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -1\/8 (c) 285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 + 3.6. Let c = 0.1 - r. Let l = 4 - 3. Is c > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 * 0.4.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/11 + 10*i\/11 + 12\/11 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 5*z - 2. Let h be f(-8). Suppose 2*o = -2*q + 3 + 9, 3*o - h = -5*q. Let g = o + -8. Sort g, -0.4, 3 in decreasing order.\nAnswer: 3, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 793.2402 nanograms?\nAnswer: 0.0007932402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*v + 78*v = -50382. What are the prime factors of v?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3052 = 4*p, 2*p + 488 = 4*q - 2574. Suppose 3*y = -3*g + q, y = 3*y + 3*g - 514. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 8.5, 0, -1\/7, 4 in decreasing order.\nAnswer: 8.5, 4, 0, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 159*o - 29832 - 41559. Let y(m) = m**3 - 9*m**2 + 9*m + 7. What is the remainder when o is divided by y(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5307730?\nAnswer: 2, 5, 530773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10334628 is divided by 2926.\nAnswer: 2922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -101213001 (base 5) in base 2?\nAnswer: -1100100111100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4128)\/16 - 15\/(-3). Let x = q + 255. Solve -5*v - a - 9 = 0, -3*v + 15 = -4*a + x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69315 + 69315 + 22669*q - 5*q**2.\nAnswer: -5*q**2 + 22669*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 20*q + 1620 = 0. Suppose x = -3*x + q. What is the remainder when 375 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 9256?\nAnswer: 1\/4628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 6) to base 16.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 4)*(-1 - 2 + 4) - 13 - 8 - 5)*(0*k**4 + 5*k**4 - 3*k**4).\nAnswer: -56*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1391*c = 1200*c + 2101 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + p. Let k(i) = 7*i**3 - 6*i**2 - 9*i - 11. Let w(m) = -6*b(m) - k(m). List the prime factors of w(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3 - 60\/28\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*j - j + 42 = 0, 5*j + 235 = 5*n. Suppose 3*t = 710 + n. Does 28 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113265463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(27\/6))\/((-6)\/(-18)). Suppose 0 + 0*m + 1\/4*m**d = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2093 divided by 6\nAnswer: -2093\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23162639 to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69264 divided by 72?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53 and 0.2.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -47, -67, -69, -47?\n\"Answer: i**3 - 39*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, m: 7, f: 1, t: 1, h: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 305338643\/40698 + -15430\/2261. Suppose 2*b + 14996 = 4*b. Let i = b - w. Find the common denominator of -35\/8 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2905350 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 5:55 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**3 + 24*q**2 - 63*q + 54 = 0. What is q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from xvpx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 299044843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 0.07320676\nAnswer: 0.0065886084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -344*f**3*r**4 + 2*f**3*r**3 - 3*f**3*r + 254*f*r**2 + 85*f*r + 2569*r**3 + 33*r wrt r.\nAnswer: -8256*f**3*r + 12*f**3 + 15414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 63 = -43. Let p(j) = 3*j - 7*j**2 - 110 + 226 + 3*j**3 - 117 - y*j**3. Give p(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119926 (base 13) to base 12\nAnswer: -1838a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/60 + l**4\/3 + 4*l**3 + 24*l**2 - 2*l. What is the tens digit of u(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -247 (b) 4 (c) -1\/2 (d) -2 (e) 5 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/3600*(126\/(-27))\/(-7).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*b + 4\/9 - 2\/9*b**2.\nAnswer: -2*(b - 2)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31055 - 31060. Sort -0.4, o, -1\/5, 11\/4.\nAnswer: o, -0.4, -1\/5, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**2\/5 + 1228*h\/5 + 4976\/5 = 0.\nAnswer: -4, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 352, 353, 354?\n\"Answer: z + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13026, -32, -2\/35 in decreasing order.\nAnswer: -2\/35, -32, -13026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {t: 1, q: 11, v: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 5 (b) 2\/17 (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 36*w - 147. Let t be u(4). Suppose -c + 5*g + 14 = -5, 0 = 5*g + 15. Put -1, t, c, 3 in descending order.\nAnswer: c, 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from {a: 10, w: 9}.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**3 - 6*v**2 - 8*v - 8. Let z(u) = 10*u - 2*u**2 - 3 + 3*u - 16*u + u**3. Calculate 3*t(l) - 8*z(l).\nAnswer: l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 216?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 2508253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 - 4*n**2 + n**2 - n**2 + n**2 - 4*n**2 + (0*n + 4*n - 3*n)*(n + 4 - 4) + 2*n**2 + 2*n**2 - 3*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + f - 2310 = 0. Let n = f + 201. Sort 4, n, -1, -4 in descending order.\nAnswer: 4, -1, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 14.04. Let v = -14.028 + q. Round v to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 14) to base 8\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2598, 10407, 23428, 41661, 65106, 93763?\n\"Answer: 2606*y**2 - 9*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9675.28 meters to millimeters.\nAnswer: 9675280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -846511.208 rounded to the nearest 1000?\nAnswer: -847000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16507264 and 569216?\nAnswer: 16507264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, t: 1, o: 5, u: 1, z: 3}. Give prob of picking 1 e and 3 o.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/(24\/(-9)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -1\/100*a**5 + 0*a**2 - 3*a + 0 + 0*a**3 - 1\/60*a**4. Factor z(i).\nAnswer: -i**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 14 + 26 + -25.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/33462 and 109\/2704.\nAnswer: 267696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 5. Let b(p) = p + 2. Let h(g) = 5*b(g) + 2*o(g). Let c(l) = 80*l - 3 + 2 - 88*l. What is -c(r) - 5*h(r)?\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 5 = -77. Find the common denominator of 262\/x + 6\/3 and -85\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 27, 4, 5.\nAnswer: -5, 1, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i. Suppose -2*d = 1 - 5. Let u(n) = n - 1. Let o(h) = -3*h + 2. Let c(q) = d*o(q) + 4*u(q). Give z(c(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 166 and -2?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*4\/8*-2. Suppose -2*c + 571 = g*c - 5*t, -4*c - 5*t = -541. Calculate the remainder when c is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31309\/7 - 4473. What is the closest to g in 2\/3, 0.3, -11, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000011011011011010 - -1000010?\nAnswer: 101000011011100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*b - z, 0*z - z = 5*b - 19. What is the second derivative of -3*d - d - 3*d**4 + 0*d**4 + b*d**4 wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3 + 86*a**2 - 85*a = 0.\nAnswer: 0, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -6, 2639, -4 in increasing order.\nAnswer: -6, -5, -4, -3, 2639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((180\/(-40))\/(-9))\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 12. Let r be (48\/(-40))\/(3\/(-20)). Determine d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from rrllllrxcllcdclxllr.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -114 divided by 399538\nAnswer: -57\/199769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h*w**5 - 622*h*w**4 - 14*h*w**3 - 2*h*w**2 + 329*h*w + 3*h - 2*w - 23 wrt w.\nAnswer: -420*h*w**2 - 14928*h*w - 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 8*g**2 - 3*g - 14. Let t be q(-8). Solve -u = u + t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/(-105) + 2849\/1813\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -245551.498.\nAnswer: -245461.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 + -98. Suppose 52*t = i*t - 280. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-77*c**3 + 32*c**3 - 93*c**3)*(-28*c + 57*c + 0*c) to the form q + i*c**2 + k*c**4 + n*c + r*c**3 and give k.\nAnswer: -4002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**3 + 0*n**3 + 3*n**3)*(-244 - 63 - 182) in the form i*n + g*n**2 + z*n**3 + a and give z.\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o**3 + 18*o**3 + 884567 + 30*o**3 - 45*o**3 - 884567.\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19933 - -79731\/4. What is the third biggest value in z, -2, -0.34, 1\/5, 1\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, -3, -70, -1 in ascending order.\nAnswer: -70, -15, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3621916 is divided by 4468?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 334 - 37 = 57*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*l - 6 = 0, 5*n - 18 + 4 = -4*l. Let j(a) = 2*a + 5. Let q(g) = 4*g + 11. What is n*q(i) - 5*j(i)?\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 450, 441, 422, 387, 330, 245, 126?\n\"Answer: -g**3 + g**2 - 5*g + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.93240559 times -4?\nAnswer: 35.72962236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119957225 and 872?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -73954*r + 20707110. What is a(280)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5391*d - 18138*d - 174566 = 64183 - 34797 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -156993?\nAnswer: -15698b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 2:21 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 4*g**2 + 8*g - 8. Let f be k(6). Let v = f + 53. Suppose -2*o = y - v, -o - y = -0*y - 8. What is the highest common factor of o and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 2*m + 3*m)*(0*m + m + 0*m)*(26*m**2 - 8*m**2 - 4*m**2).\nAnswer: 84*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 350177, 700394, 1050649, 1400942, 1751273, 2101642, 2452049?\n\"Answer: 19*a**2 + 350160*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -324777 and -3648?\nAnswer: 321129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.1. Suppose 2 - 14 = 4*t. Sort p, t, 5.\nAnswer: t, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 - f**2 + 189*f - 918*f. Let a(y) = y. Determine o(a(k)).\nAnswer: 2*k**2 - 729*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*g + 200, 117 = 2*p + 4*g - 31. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 + 8*s)*(-21*s + 21*s - 10*s**2).\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - -0.1. Let l(i) = -i**3 + 2*i**2 - 8*i + 33. Let y be l(3). Let d = -17 - -13. Which is the nearest to w? (a) d (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4548 and 54576?\nAnswer: 54576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 987\nAnswer: -1\/987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 4*a**3 + 21*a**2 + 6*a. Let b be s(19). Suppose 7*y = -b + 6945. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(396))**2*-1.\nAnswer: 120*sqrt(11) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 1.2. Let w = -1 + o. Let t(r) = r**3 + 5*r**2 + 2*r + 6. Let n be t(-5). What is the closest to w in -0.2, 5, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669608011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*w + 53 = 16, 4*m + 5*w - 5 = 0. Suppose h + 14 = -m*d, 4*h + 0*h + 11 = -5*d. Calculate the smallest common multiple of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 20*o**2 + 25*o + 483. Calculate d(-20).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**4\/24 - 2*m**3\/3 + 3*m**2. Let r be j(4). Let i(a) = 5*a - 3*a**2 + r*a**3 - a**3 + a + 5. What is i(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -27*i + 5*i + 13*i. Solve 0 = -2*h + i*h - 4*c, 4*h + 3*c - 7 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12785 = -2*r, -4*r - 25*v = -28*v - 25557. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dffdvvddfdfdfdd. Give prob of picking 2 v and 1 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*i + 2 - 10*i + 26*i to the form o + k*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -51. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5027 is divided by 4956.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1252)\/(-180) - -3 - (-12)\/(-30)) + -39 + 31.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 2:31 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96462505 and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o)\/(o\/(o*o**(-1\/13)*o*o*o*o*o)) assuming o is positive.\nAnswer: o**(142\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -13*3*((-18360)\/81)\/34. What is the highest common factor of 4030 and v?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -3, -0.3, 0, -23644 in decreasing order.\nAnswer: 0, -0.3, -2\/5, -3, -23644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000322 rounded to six dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-1 - (-5 + 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8470087\/30 - -282333. Let l = 11767 + -1623839\/138. Calculate the common denominator of x and l.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 + 2*t**2 - 6*t**2)*(2 - 2*t**2 + t**2 - 5*t**2) as a*t**4 + j*t**2 + m*t**3 + k*t + r and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18673156 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -759*c**2 + 182916*c + 767. What is b(241)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 54. Suppose k = 6*q - 2*q - c, 2*q + c = 21. Suppose 44 - q = 3*x. What is the remainder when 22 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*d + 232*d = -2*q - 32, 0 = -3*d + 3*q + 45 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2975 and 1750?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -791178, -1582357, -2373536, -3164715?\nAnswer: -3955894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 take away -24?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**(-1)\/(r**(-6\/31)*r*r\/r**(5\/16)) assuming r is positive.\nAnswer: r**(-4195\/3472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 8*c - 4*c - b + 2*b, -c + 96 = -22*b for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k. Let a(m) = m. Let t = 37 - 15. Suppose 5*i + 3 + 11 = 2*p, 0 = 3*i + p + 4. Let j(h) = 12*h. Let g(u) = i*j(u) + t*a(u). What is r(g(l))?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3965355693?\nAnswer: 3, 13, 73, 107, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202532 is divided by 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b + 4. Let x(j) = 19*j - 577. Let p be x(30). Let i(a) be the second derivative of -2\/3*a**3 + 0 + 5\/2*a**2 + a. Give p*w(q) + 6*i(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 2*c**2 - c - 3. Let k(g) = 575*g**3 + 4*g**2 + 14*g + 1. Let m(o) = -k(o) - p(o). What is the second derivative of m(x) wrt x?\nAnswer: -3456*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 35 - 30, 0 = -r - u + 3018. List the prime factors of r.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.31? (a) 127 (b) 0.05 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*i + 13, b - 12 = i - 9. Is 24.19 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/16368 and 71\/764.\nAnswer: 3126288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*w - 35*w - 14*w)*(-8 + 8 + 45*w)*(-w + w - 2*w).\nAnswer: 2970*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + 0.5. Let n = 497 + -476. Suppose 27*x - 78 = n*x. What is the second biggest value in x, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.3, -0.194 in increasing order.\nAnswer: -0.194, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**4\/8 - 2*h**2. Let w(y) = 7*y - 4*y - y + y. Determine w(d(p)).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31189.284 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/6)\/((-1)\/3). Suppose 160*p = 163*p + 1527. Let n = 507 + p. Sort n, y, -3, 4 in ascending order.\nAnswer: y, -3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 89*q**2 - 765*q - 1168. Give w(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 9:18 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1541 + 164.8459. What is the fourth smallest value in 1, 1\/5, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8*(-2)\/6. Let t = -0.0393 - 1.3607. Which is the nearest to 0? (a) q (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 10 - (2 + 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*q - 87 + 6 = 0, -2*m - 44 = 2*q. Let k = m - -26. Solve -5*d = -5*g - 40, k*d + 0*d = 3*g + 34 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3084)\/235926)\/((-14)\/(-18))?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21491 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 83570315 divided by 6?\nAnswer: 83570315\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -5 (c) -27 (d) 2.496 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1603 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-71 - -66)\/((-4 - -1)\/3). Solve -4*c + 4*t - 20 = 0, -2*c - 7*t = -8*t + z for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + p = 18*j - 6937, -4*j + 9251 = -3*p. Is j a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120239086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - b - 105*b**2 - 2*b**4 + 183*b**2 - 78*b**2 to the form g*b**2 + c*b**4 + a*b**3 + z + u*b and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.47.\nAnswer: -0.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edk when three letters picked without replacement from pzeehzpzzzzzdkd.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 975572, 1951180, 2926788?\nAnswer: 3902396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**3 + 3*y**2. Let r(p) be the second derivative of 3*p**5\/10 + p**4\/6 + 48*p. Give 3*r(o) - 2*u(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 132, -5, 2155, -0.2, 2?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12810430 rounded to the nearest 100000?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**5\/20 - k**4 + 5*k**3\/2 + 13*k**2\/2 - k. Suppose -d - 15 = -2*y - 16, 3*y + 21 = 0. Determine p(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14010244 (base 7) to base 11.\nAnswer: 806231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3217526, 3217492, 3217458, 3217424, 3217390?\n\"Answer: -34*n + 3217560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 11. Let q be (j\/(-4))\/((-6)\/(-16)). Factor 9*g**q + 3*g - 5*g**2 - 3*g**4 - g**2 - 3*g**5.\nAnswer: -3*g*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99525 and -1.1.\nAnswer: 109477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1166 + -1162. Suppose -h - 18 = -5*o + h, -4*o + 19 = 3*h. Solve i*u = -o*z - 8, 3*u - 4*z = -10 - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1 - u - 4 - 2 + 4. Let t be m(-7). Let i(j) = -7*j**2 + 6*j. Let n(o) = 13*o**2 - 11*o. What is t*n(w) + 11*i(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = -9*c + 2*c + 1840. Suppose 5*a - 20 = -4*n, n + 0*a - 5 = -4*a. Calculate the highest common divisor of n and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127556619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 + 105 = 46*t. Factor 5\/4*w**5 + 0 - 25\/4*w**2 + 55\/4*w**3 - 35\/4*w**t + 0*w.\nAnswer: 5*w**2*(w - 5)*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(36) + sqrt(36))\/sqrt(2))\/(sqrt(162)*-1))\/(5*sqrt(12) + (-1*sqrt(15))\/sqrt(5)))**2.\nAnswer: 1\/2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + i = 7, -3*k + 6*k = -3*i + 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48b (base 14) to base 15.\nAnswer: -407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-3))\/(4\/42). Let b(v) = -2*v + 16. Let l be b(i). Solve 0 = 4*k + 2 + l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -0*j. Let z be -46 + (-3 - (-3 - j)). Is 16 a factor of (1*-12)\/3 - z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + 18. Determine a(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c + 24*c - 20*c + 46*c.\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -35*u + 25. Let y = -10 - -8. Let x be ((-6)\/((-30)\/(-5)))\/((-1)\/y). Is c(x) 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 9771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 10) in base 11?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 492270065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6258 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75aa0 (base 14) to base 3.\nAnswer: -112110120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 30*o + 25. Let j(b) = -2*b**2 + 20*b + 5. Let a be j(10). Suppose 5*k + a*p = -100, 0 = 3*k + 2*p + 57. What is the units digit of i(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 4\/2)*-1. Let a = 0 + y. Let f = a - -21. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781912937 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 3 = 10*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 8:04 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:22 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (62 + 1506\/(-24))*(-8)\/3. Solve 5*j - d*u = j + 22, 4*j - 26 = -2*u for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4600\/644)\/((-12)\/(-21))\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -18072?\nAnswer: -18075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.343423 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/7 in -4, 1\/135, -6\/7?\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7937*d - 14523 + 67611 = -8490*d for d.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 22*i**2 + 100*i + 104.\nAnswer: -(i - 26)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 2200a2?\nAnswer: 2200a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 - 98. Let c = 53 - t. What is the second smallest value in c, -0.2, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 6*s**2 - 8*s + 1. Let k(u) = u**3 + 5*u**2 - 7*u + 1. Let c(h) = -7*k(h) + 6*o(h). Factor c(y).\nAnswer: -(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 13*k**2 + 8*k**2 + 11*k**2 + 14*k**2 - 48*k**2. Let n(s) = 9*s - 1. Give n(t(q)).\nAnswer: -18*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 4 + 2)*(-5*o + 4*o + 0*o)*(-4*o**2 + 4*o**2 - o**2).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3 + 103*j**2 - 4*j - 412 = 0.\nAnswer: -103, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-46)\/((-598)\/(-533))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -220 - -219. Let i be -5 + 1 - f\/((-1)\/(-7)). Put 6, -3, i, -2 in decreasing order.\nAnswer: 6, i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/2)\/((-70)\/(-80)))\/(106\/(-1855))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-33885)\/90)\/(3\/(-6))?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -39586, -39589, -39594, -39601, -39610?\n\"Answer: -o**2 - 39585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333181 (base 11) to base 7.\nAnswer: -4341630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -278 - -95. Let w = 269 + y. Let b = w + -39. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 3 = m. Suppose -64 = -2*w + 24. What is the greatest common divisor of m and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 7) in base 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 115*h + 207. Let i be a(18). What is the greatest common divisor of 66 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -4 - (-26 - -29) - (54 + -62).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 16*r**2. Let u(b) be the third derivative of -19*b**4\/24 - 60*b**2 + 4. Give a(u(j)).\nAnswer: 5776*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10939.\nAnswer: 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 501*s**4 - 2326*s**2 + s**3 - s**3 - 2713860*s**5 + 2713862*s**5 wrt s.\nAnswer: 120*s**2 + 12024*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14458, -14366, -14212, -13996?\nAnswer: -13718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 119494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**4 - 5292*x**3 - 10600*x**2 = 0.\nAnswer: -2, 0, 1325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -38. Is w <= -1\/123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230 and 2116?\nAnswer: 10580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -402*k**2 - 5*k. Let w(h) = 31556*h**2 + 392*h. What is 392*p(d) + 5*w(d)?\nAnswer: 196*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + (sqrt(539) + 3 + 2 - (-6*(sqrt(539) - sqrt(539)*-1) - sqrt(539)))))**2.\nAnswer: 1764*sqrt(11) + 950805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(200)*5 + -3*(sqrt(200) + 2))**2.\nAnswer: 2860*sqrt(2) + 33921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f + 17\/20*f**5 + 0 + 1\/12*f**4 + 0*f**3 + 101*f**2 - 11\/24*f**6. What is the third derivative of r(c) wrt c?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*s + 85*s + 2998 = -2797 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o - 10 - o)*(-5 + 1 - 13).\nAnswer: 17*o + 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-32) + 3\/4. Suppose r - 5 = 2*f - 2*j, -f = 4*j + 2. Is (-498)\/f + (0 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5497489 smaller than -27487438\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = o - 5*o. Suppose 3*y - v = -321, -o*y + 4*v = v + 535. Let r = y + 176. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/11)*n)\/n*n*n\/(n**(1\/4)\/n*n)*n*n*(n**(-2)\/n)\/(n**(-2\/17)*n))\/(((n\/(n*n**5))\/n*n**6*n)\/(n**(-5\/2)*n**(-2)\/n)) assuming n is positive.\nAnswer: n**(-5097\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - ((0 - 2) + (-2)\/(-1)). Suppose 0 = i*c + 4*r - 20, 0*r + 5*r - 25 = -5*c. Determine s so that -s**2 - 1\/2*s + c - 1\/2*s**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i. Let u(f) = 4*f. Let z(c) = 2*j(c) + u(c). Let p(d) = -28*d. What is z(p(g))?\nAnswer: -56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-0.0162\nAnswer: 0.000972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39277989.\nAnswer: 3, 397, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 14. Let n(c) = c**3 + 5*c**2 - 6*c + 3. Let t be n(m). Suppose t*v = 4*v - 20. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(4\/(-12)*2) - 82*(-1690)\/(-18655)\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25185520 and -1.\nAnswer: -25185520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.7. Let t = 12 + -11. Let m = -82 + 82. Which is the nearest to m? (a) -5 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 48\/(-9))*(-225)\/(-250)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3358 is divided by 122.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 26\/12)\/1. Which is the nearest to 1\/3? (a) -2\/13 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 8*p + 4. Let c be k(-8). Let o(g) = -g**2 + 2*g**2 - 18*g + 15*g - 2. Give o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pepeeueuuuueuuqeueu. What is prob of sequence qe?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/49 in 3\/4, -5, 6864, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2859, -22966, -77533, -183774, -358903, -620134, -984681?\nAnswer: -1469758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34.2 and -639182.18.\nAnswer: -639147.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 5*j**4\/24 - j**3\/3 - 8*j**2. Differentiate b(r) wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/62 (b) -1 (c) 0.1 (d) 61\/4 (e) -4 (f) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74287372 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-2)\/(4*(-3)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(325))**2*6.\nAnswer: 31200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*s - 847 = 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3\/3 - 649*q**2 + 199360*q + 367539200\/3 = 0?\nAnswer: -293, 1120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(500) + 1 + 5.\nAnswer: 6 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 15*m**2 + 15*m + 12. Let l be v(16). Let i be 3\/l + 1517\/1148. Solve 0*f**2 + 0 + i*f - 1\/7*f**4 - 3\/7*f**3 = 0 for f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(280))\/sqrt(5))\/(sqrt(192)\/sqrt(6) - sqrt(8)) + 3)**2.\nAnswer: -6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (115\/60 - 2)*262. Let u = l - -1969\/90. Let n = u + -4\/9. Which is the nearest to 2? (a) 4 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -30298.\nAnswer: -2\/15149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2220 is divided by 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 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: Simplify -3*((1 + (sqrt(1584) - (sqrt(1584) + sqrt(1584)*-2 - sqrt(1584) - sqrt(1584))) + sqrt(1584)*2 + sqrt(1584) + 0)**2 - 5*(sqrt(1584) + 5*2*sqrt(1584))).\nAnswer: -232851 + 1476*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*t + 52*t**2 - 76*t + 35*t to the form y*t + i*t**2 + q and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.03368 (c) -19 (d) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/17 - 55\/34. What is the second biggest value in 0.1, 0.4, -3, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxayxcykcacccaccya. What is prob of sequence ayxx?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i - 108*i**2 - 24*i**3 + 53*i - 2*i**4 - 292*i + 18*i - 162.\nAnswer: -2*(i + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 46658*n + 373557. Determine k(-8).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3814755*r**2*w**2 + 210251*r*w**2 + 6*r wrt r?\nAnswer: 7629510*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.598 times 17?\nAnswer: -588.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023869 is divided by 255905.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from jmmjjjjjmjmjjjjmjjm.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i**2 - 2*i. Let z(n) = 4284*n. What is q(z(h))?\nAnswer: -165173904*h**2 - 8568*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16*m**2 - 9*m + 25. Let l(r) = 3*r**2 - r + 5. Let g(h) = -11*l(h) + 2*x(h). Suppose b = -i - 9, 0*i - 13 = -3*b + 5*i. What is g(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.191403 rounded to 2 decimal places?\nAnswer: -4.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 2*u + 1. Let r be c(0). Let y be -2*r + 112\/52. What is the nearest to 0.1 in -1\/3, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 - (212 - -251) - (-14 + (2 - 2))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -193*j - 1737. Let d be h(-9). Factor -3*s**2 - 3*s**3 - 3\/4*s**4 + 0*s + d.\nAnswer: -3*s**2*(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29506 or 29505?\nAnswer: 29505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3929343\/95 - 41360. Let q = h + -1\/190. Find l such that -q*l**2 - 3*l - 3\/2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-4*(3*sqrt(119) + sqrt(119)))\/(sqrt(126)\/(sqrt(6)\/sqrt(3))))**2.\nAnswer: 4352\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -104*s - 7. Let a be q(-6). Suppose a = 3*x + 4*t, -3*x - t = -5*t - 577. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*u - 9. Suppose -6*w = -u*w. Solve -3 + 13 = 5*b, w = 5*y - 5*b + 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p - 31 - 149 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 1:35 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281.37mg in nanograms?\nAnswer: 1281370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/9 - (-2)\/3. Suppose 4*p = -m*x - 25 + 69, 0 = -p - 3*x + 9. Suppose 10*c - 152 = -9*c. Calculate the smallest common multiple of p and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -435, -429, -423, -417, -411, -405?\n\"Answer: 6*x - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90046 - 201924 = -14*q. Let i = 35818 - q. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 12 - (12\/3)\/(-2). Let q(v) = 7*v**2 + 5*v + v**3 + 5 + v + 0*v. Is 5 a factor of q(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 0.5 (b) -0.3 (c) -1 (d) -4 (e) -26\/9 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287 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: Let n(t) = -37*t + 91. Let v be n(4). Put v, 5, 2, -5, -3 in ascending order.\nAnswer: v, -5, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**6\/9 - 2*a**5\/5 - 11*a**4\/3 - 76*a**3\/9 - 9*a**2 - 14*a\/3 + 757. Factor x(z).\nAnswer: 2*(z - 7)*(z + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72*d**2*k**3 + 286*d**2*k - 2*d*k**4 - 2*d*k**2 wrt k?\nAnswer: 432*d**2*k - 24*d*k**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 96, 5637, 0.04, -0.3, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24310279892\/75 + 324131524. Let s = -16627\/3 - c. Calculate the common denominator of 80\/33 and s.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48897 rounded to the nearest 100?\nAnswer: 48900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24, -38, -52?\n\"Answer: -14*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -43813?\nAnswer: -43813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*b - 491 = 1622 + 119 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ahaasfsosoaaa.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743507707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c**4 + 30*c**4 + 77*c**4 + (83*c**2 - 18*c**2 + 19*c**2)*(-c + c - c**2) in the form s*c**3 + m*c + k*c**2 + r*c**4 + j and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -1 - -13 - (6 + -1 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35, 46, 51, 50, 43, 30?\n\"Answer: -3*h**2 + 20*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4311 divided by 517?\nAnswer: -4311\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:47 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 2)*20\/12. Suppose -1 + s = 2*k. Suppose -95 = -3*u - k. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30997310717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 - 0 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*j - 6586, -h - 375*j = -376*j - 6572. What is the remainder when h is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2552*l**3 - 175*l**2 - 4*l + 68107 wrt l?\nAnswer: -15312*l - 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide (-18868)\/(-8) - (-13)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*-1*(-5*(sqrt(70)\/sqrt(2) + sqrt(35) + sqrt(35)))\/(-6*sqrt(21)\/sqrt(3))*-5.\nAnswer: -75*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 75. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 + 0*d**2)*(1 - 1 + 6*d)*(3*d**2 - 4*d**2 + 4*d**2).\nAnswer: 18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 5*l**2 + 3*l - 6. Let w be p(-3). Suppose 3*y - 4*z = -18093 + 50632, w*z - 43352 = -4*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 16935*p + 30735*p - 5 + 1.\nAnswer: 47670*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 2*r**2 - 6*r - 5. Give g(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 356954304*t - 7963523446507776.\nAnswer: -4*(t - 44619288)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6106 = -3*o, -3*o + 4*o - 3*w - 2012 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 35 = 6*y. Suppose 28*o + 2436 = y*o. Does 58 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7488995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(112)\/sqrt(2)*-1)\/(-2*sqrt(32)) - (sqrt(14)\/(sqrt(2)*2*-1) - (1*(-1 + sqrt(343)))**2).\nAnswer: -59*sqrt(7)\/4 + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37544.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/11 (b) 0 (c) -34 (d) 2\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(3 - 2*a - 3) + 6*a + 4*a + 5*a to k*a + u and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*b - 18. Suppose 5*o = -3*j - 23, b = -5*o + j + j. Is (-2)\/o - 61\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1015*x + 502*x - 555 + 515*x to j*x + o and give o.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -6872.05465463.\nAnswer: -6869.05465463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + g**3)*(92 - 8*g + 101 + 19).\nAnswer: -8*g**4 + 212*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90\/17 or 2\/1095?\nAnswer: 2\/1095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-33)*6*6\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1997088288 to the nearest integer?\nAnswer: 44689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*((-3*((sqrt(7) + 1)*-4 + sqrt(7) + sqrt(63)*-2))**2 - ((sqrt(126)\/sqrt(2))\/sqrt(9) + sqrt(7) - sqrt(28)\/sqrt(4)*-6)).\nAnswer: 2560*sqrt(7) + 20988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2933 = b - 3*p, 0 = -41*b + 37*b + 2*p + 11702. List the prime factors of b.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5108 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 7*x + 109. Let t be z(9). Solve 0 = -5*v + 3*b + 14, 3*b + 0 = -v + t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75851*n**2 - 39021*n**2 - 38334*n**2.\nAnswer: -1504*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126.473935109 + -3.\nAnswer: 123.473935109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34314 is divided by 369?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48629 divided by 1.\nAnswer: -48629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -32720453?\nAnswer: 32720452.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/19440 and 43\/103770720?\nAnswer: 103770720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -0*u - 3*w + 49, 815*w = 2*u + 819*w + 42 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*z - 17 = -5*z, 3*z - 19 = -2*u. Suppose -2*k + 4*k - 4 = o, u*k - 12 = 5*o. Which is the third biggest value? (a) k (b) 0 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k + 40. Let j(l) = -l**2 + 17*l + 17. Let b be j(18). Let p(u) = 1. Let i(a) = b*x(a) + 15*p(a). Is i(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*m + 38 = 4*w, -w - 78 = -3*m. Let k = 212 + w. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**3 - 4*r**2 - 1. Let h(a) = 4*a**3 + 3*a**2. Let k(w) = 4*h(w) + 3*p(w). What is the derivative of k(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(448)*-1)**2*-6 + (2*sqrt(448)*-5)**2 + 5.\nAnswer: 34053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 20 - (-4840 + 4844).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 minus 84470764.7?\nAnswer: -84470519.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -23?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25835 + 52023. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -0.4, 0.45, -150\/11 in descending order.\nAnswer: 3\/2, 0.45, -0.4, -150\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4305, 4333, 4399, 4521, 4717, 5005, 5403, 5929?\n\"Answer: 3*i**3 + i**2 + 4*i + 4297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 48*z**2 + 1125*z + 315. Let o(j) = 51*j**2 + 1136*j + 315. Let y(f) = 7*k(f) - 6*o(f). Factor y(a).\nAnswer: 3*(a + 35)*(10*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(1\/12)*o**(-5)\/o**5)\/(o\/((((o*o**(3\/10))\/o*o)\/o*o*o)\/o*o)*o*o*o*o**(-6))**(-32) assuming o is positive.\nAnswer: o**(-8851\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -b35b?\nAnswer: b35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19723, -39423, -59123, -78823?\n\"Answer: -19700*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/47?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104024033302 - -3?\nAnswer: 104024033310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*u - 75*u + 48 = 0. What is the lowest common multiple of (-2 - -6)\/(0 - -1) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*r - 0*s + s, -6 = 3*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/3 + -5 + 2\/3. Let d(l) = l. Let h(w) = 2*w - 1. Let j(k) = x*d(k) - h(k). Let i(t) = t**2 + t - 1. Give i(y) + j(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16281364 to three dps.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -9 + -5 - -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 9. Which is smaller: z or -0.18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19661 - -23218.6. Let g = b - 3556.59997. Let k = -1 + g. Round k to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3539*p**2 - 7150*p**2 + 3555*p**2.\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*s**4\/3 - 92005*s**3\/6 - 52727155*s**2\/6 + 34239360*s - 25436160 = 0. What is s?\nAnswer: -1152, 1, 23\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51447566 to the power of 1\/2, to the nearest integer?\nAnswer: 7173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.01 (b) -1\/3 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/60*4)\/(((-12760)\/(-30))\/22)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 6362\/27597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/6*6\/4. Find the second derivative of j + j**2 + 3*j**2 - 5*j**f wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z - 5. Let x(t) be the first derivative of 11*t**2 - 8*t + 54. Let j = 11 + -16. Determine j*x(q) + 8*k(q).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f = 5*b - 25, -5*b - 4*f + 20 = 0. Suppose x + 1 = b. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134174*-64.\nAnswer: 8587136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 530902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*r*z**2 - 2135*r*z - 2*r - 25026 wrt z?\nAnswer: 26*r*z - 2135*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6009528 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 547121125 to the power of 1\/3, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 212*h - 142. Let n = 150 - 147. Let j be x(n). Calculate the greatest common factor of 76 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 + v + 5. Let z be w(-5). Suppose d - 3*d + 76 = 5*i, i - 4 = z. What is the remainder when d is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 14110 = 5*i - c, -i - c + 7049 = 0. What are the prime factors of i?\nAnswer: 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240019 (base 13) to base 15.\nAnswer: 11dd37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10223 - 1032?\nAnswer: 3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352700 by -35270.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x = 0. Solve -k - k + 8 = x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21109 - 5413. Let i = j + -15696.009997. Let r = 0.01 + i. Round r to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(45\/(-144)))\/(6\/15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 4:52 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2018 equal to -2019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 1, -8, -19?\n\"Answer: -j**2 - 4*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) 5 (b) 0.08 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 w, and 1 i when four letters picked without replacement from izirizwmzir.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c + 210 = 777. Let u be 354\/18 + (-7)\/c. Solve -4*w = u, -2*n + 5*w - 2*w + 7 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*q - 3*w, -3*w + 8 + 7 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3814223 is divided by 3814206?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 + -139.07. Let c = -0.07 - g. What is the nearest to c in 3, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 3*f**2 + 2*f - 14. Let h be n(-2). Solve 41*r - h*s = 36*r - 23, -26 = 5*r + s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/60)\/(3\/(-25)). Sort 1, g, -9, -2 in decreasing order.\nAnswer: g, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28444, 28443, 28442, 28441?\nAnswer: 28440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 23)*(-2 - (-60)\/21). Let l be (-7)\/((-21)\/r) + (-7 - -5). Let v be 22\/144 + l\/18. What is the closest to 0 in -1, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70924 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -669, -654, -657, -684, -741, -834?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*m + 7*m + 1231*m + 4397*m.\nAnswer: 5333*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/24 and -127\/29412.\nAnswer: 58824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -71*j**2 - 16*j - 3. Let i(x) = -141*x**2 - 37*x - 7. Give 14*f(q) - 6*i(q).\nAnswer: -148*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 100\/3*l**3 - 1\/2*l**2 + 15*l - 19. What is the second derivative of n(j) wrt j?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 6 = -5*r. Solve -r*m = -7*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279\/5864 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**5 + 88941*m**3 - 439994*m?\nAnswer: -40*m**3 + 533646*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 42.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 2*10\/5. Suppose 0 = -d + 10 + p. Suppose 7*g - 5*y = d*g - 355, 3*g + 2*y = 212. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*m**3*w**2*x + 4*m**3*w*x + 18*m**3*w + m**3 + 41*w**2 - 21*x**2 wrt x.\nAnswer: -9*m**3*w**2 + 4*m**3*w - 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3115*f = -3287*f + 5504 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 4\/3, 49\/6, 0.1871?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-570.3\nAnswer: -569.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4900 * -3\nAnswer: -14700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2195 smaller than -2186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 15*v = -33 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*t - 15079 = 0, -2*d - 13*t + 10022 = -18*t. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + -3 + sqrt(4)\/sqrt(2) + sqrt(20)\/(3*sqrt(10)).\nAnswer: -6 + 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(r - 2*r + 3*r) + 10*r + 4*r - 19*r + 37 + 149*r - 37.\nAnswer: 140*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*o**2 + 1)*(-13*o**2 + 11*o**2 + 18*o**2) + o**2 - 4*o**4 + 0*o**2 + o**2 in the form k*o**4 + m*o**2 + q + z*o + g*o**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1 + sqrt(170))*-1)\/((sqrt(120)*-2 + sqrt(120))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i**2 - 2*i - 3. Determine y(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 296254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 + 8. Let f(m) = m**2. Determine s(f(d)).\nAnswer: 7*d**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 1 p when three letters picked without replacement from {p: 6, e: 2, d: 2, z: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -59) + -13 + (-2 - -7) + (-70 - -75).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44318273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h - 4*h - 27*h**2 - 8*h - 9.\nAnswer: -27*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4248 + -2416. List the prime factors of z.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 4, 3, 5803?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*k - 7807 = -5179 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*r - 1)*(0*r**3 - 4*r**3 + 0*r**3) + 4*r**4 + 0*r**4 + 0*r**4 - 4*r**4 - 5*r**3 + 5*r**3 + (0*r**3 - 2*r**3 + 3*r**3)*(0*r - r - r).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, 1259, 6 in descending order.\nAnswer: 1259, 6, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 n, and 1 c when four letters picked without replacement from vvnvucupvndu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/1740 and 143\/2784.\nAnswer: 13920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 2*j**3 - 10*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**3 - 6*v + 497. Give q(5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -5, -14, -27, -44?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/46*10\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + ad?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 19*f - 37. Let i be q(-16). Sort 3, i, -1 in descending order.\nAnswer: i, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*((sqrt(162)*3 - sqrt(162)) + sqrt(162)) - sqrt(162))*1)\/((sqrt(6) - (sqrt(42)*2)\/sqrt(7)) + (sqrt(6) - sqrt(24)*3)))**2.\nAnswer: 75\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22886475 to the nearest integer?\nAnswer: 4784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 67 - 69 = 0. Suppose p - 2*p = -4. Solve -b*u + u = -p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Let w(x) = -2*x**2 - 1. Let v be w(d). Let j(n) = -3. Let r(a) = a**2 + a - 12. Let o(i) = 4*j(i) - r(i). What is o(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 5*o**2. Let a be t(-3). Let k be 4 - 2\/(6\/a). Let v(y) = 14*y**3 - y**2 + 2*y - 1. Let g be v(k). Solve -5*c - 1 = g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 1, 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 5*u - 5. Let s(k) be the first derivative of -5*k**2 + 4. What is the least common multiple of x(6) and s(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212128 by -8.\nAnswer: 26516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.874um in meters?\nAnswer: 0.000512874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 938*d - 147*d**2 - 19 - 10 - 14 - 920*d wrt d.\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avov when four letters picked without replacement from {j: 3, o: 2, a: 3, e: 1, v: 4, h: 6}?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let d(c) = 250*c. Give d(g(n)).\nAnswer: 250*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -473, 0, 42 in increasing order.\nAnswer: -473, 0, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69402?\nAnswer: 2, 3, 43, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 5, v: 15}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17d4cb + -8?\nAnswer: 17d4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 591870, 2367619, 5327200, 9470613?\nAnswer: 14797858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -13*l**4\/12 + l**2. Let u(v) = -2*v**2. Calculate u(w(y)).\nAnswer: -1352*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 4:31 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419*l + 4 = -420*l. Let i be (-1 + -1 - -37) + (l - -2). Which is smaller: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2.06. Let f = -5.088 - -1.088. Is c at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (102 - (-4 - -10 - -39)) + -11?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = k + 2, 4*v + k = 0. Sort v, 9, -1.\nAnswer: -1, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1. Let r = 19664 - 19663. Let c(l) = -18*l + 2. Let g(h) = h - 1. Let t(w) = c(w) + 8*g(w). Give r*t(b) - 6*k(b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4510.201 * 45.\nAnswer: -202959.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 14. Suppose -t = 8*s - 9*s. Let r = s + 67. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -145*f - 249. Let y(j) = -252*j + 338*j - 255 - 231*j. Let g(s) = 3*q(s) - 4*y(s). Differentiate g(u) with respect to u.\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 5. Let y be q(-6). Suppose 264*s - 82 = -1138. Which is the second biggest value? (a) -5 (b) 0.5 (c) y (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 134*n + 15796. Calculate y(-94).\nAnswer: 3200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5)**(-9)\/(w**32)**(-26) assuming w is positive.\nAnswer: w**787","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 5 (b) 0.2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126890 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (40\/16)\/(1\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 18 - 46. Suppose 4*s - 2*n - 341 = -55, s - 4*n = 54. Calculate the remainder when (-1)\/3 - s\/(-6) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2990 divided by -598\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w**2 - 18*w + 11. Give m(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/11 + (-363072)\/(-10912)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*w**3 + 2*w**2 + 19994 - 5*w**2 - 165*w - 19996 wrt w.\nAnswer: -42*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*w - 5*c, 0 = -c - 2*c - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -52*o**2 - 29 - 37*o - 8697*o**3 - 7 + 8699*o**3. What is the hundreds digit of z(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 71, -29, 4 in decreasing order.\nAnswer: 71, 4, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**2 + 27 - 27)*(-8*u**3 + 0*u**3 + 3*u**3).\nAnswer: 40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38580, 54693, 70806, 86919, 103032?\nAnswer: 119145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -157 in -1\/3, -0.41, -3, 0.13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57.8 + -57.5. Which is the third biggest value? (a) u (b) 1\/5 (c) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -43. Let l(o) = -8*o - 19. Let y be l(n). Let z = y + -9\/2. Which is the nearest to 0.2? (a) -5 (b) z (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3*(-1)\/1. Let b(u) = 5 - 4*u**2 - u**3 + 15*u**2 - 4*u**2 - 7*u**2. Let f(o) = -3. Determine t*b(l) - 5*f(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 0, -177?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4877*o**2 + 7423*o**2 - 1701*o**2)*(1 - 1 + o)*(9 + 1 - 3) to r*o + m + f*o**3 + c*o**2 and give f.\nAnswer: 74193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/2*(-12)\/(-240)*10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - y**2 + 20*y**2)*(-2 - 2 + 5)*(-3*y + 2*y - y).\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7290 and 20460.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 1. Let s(z) = 3*z**2 + 1620*z + 131221. Let b(g) = q(g) + s(g). Factor b(n).\nAnswer: 5*(n + 162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6)*(-16 - -6). Suppose r + s*r - 912 = 0. Let v = r - 102. 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 comes next: 212, 190, 152, 98?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 8*n - 297 = 36*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 + 13852*u**4 + 124260*u**3 - 290092*u**2 + 151976*u = 0.\nAnswer: -3454, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3473 (base 16) to base 14.\nAnswer: 4c71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683326 is divided by 170829.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwv when three letters picked without replacement from {w: 8, v: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 20*o - 22. Let q = -4 - -22. Is t(q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 + 6106*p**3 - 442*p - 1 wrt p?\nAnswer: 12*p**2 + 36636*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-352)\/22)\/(-16))\/((4\/1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k, -5*c - 24 = -2*k - 2. Are -2 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1928)\/(-312) - ((-8)\/10)\/(1248\/240)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**7\/245 + 3*n**6\/70 - 13*n**5\/70 + 3*n**4\/7 - 4*n**3\/7 + 16*n**2. Determine p so that j(p) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) - (sqrt(216) - sqrt(216)*1))\/sqrt(12) + ((sqrt(44)*1)\/sqrt(11))\/sqrt(2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -318 + -9b302?\nAnswer: -9b61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 3, a: 7, y: 1}. Give prob of picking 1 h and 1 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -1986459715.\nAnswer: 1986459685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 494 and 3132025.\nAnswer: 119016950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 9 + 21. Solve 2*t = -l*a + 20, 0 = -5*a - 3 + 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t. Let x(u) = 7277*u. Determine x(v(b)).\nAnswer: -21831*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32131551 or 32131549?\nAnswer: 32131551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 10*g + 5. Let r be k(10). Suppose r*v - 7 - 18 = 0. Solve -3*h + 0*t = 3*t, -5*t - 10 = -v*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*m + 177*m - 6*m - 101*m = -61506 for m.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-246)\/165 + 0 + 30\/75. Sort -0.4, 2\/3, w in decreasing order.\nAnswer: 2\/3, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 1. Let i(d) = -18*d + 7. Let m(l) = 2*i(l) + 10*n(l). Let c be m(-3). Suppose -5*h = -z - 0*z + c, 2*z + 2*h = 128. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 41*y + 83. Let o be f(-39). Suppose -3*r = -2*k + 120, 29 = k + o*r - 31. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*37.77.\nAnswer: 22.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202 + 243. What is the third derivative of 135*b**4 + 5*b**2 + 8*b**2 + 38*b**4 + i*b**2 - 94*b**4 wrt b?\nAnswer: 1896*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35946732 to the nearest 10000.\nAnswer: -35950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2544777*m**6 - 20*m**2 - 233*m - 42.\nAnswer: 305373240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76798221?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24.6 (b) 1 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*t = 115*t - 4*o - 54, t + 3*o = -13. Let i(s) = -4*s + 72. Give i(t).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502224 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = -g, 3*h + 2*h + 30 = 5*g. Suppose -5*s = -g*s + 15. Let c = 24 + s. What is the greatest common divisor of 27 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 t, and 1 z when four letters picked without replacement from {l: 5, u: 2, t: 3, i: 1, z: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, q: 5, m: 2}. What is prob of picking 1 m, 2 d, and 1 q?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2817 and 27.029.\nAnswer: -2789.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 20 = 0. Calculate the remainder when 10 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 5*m = 24, -5*m = 20. Suppose 4*s = k - 5. Which is smaller: s or -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiiepeiip. Give prob of picking 3 i and 1 p.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*a - 5 - 5, -5*a + 5*d + 10 = 0. Suppose -4*g + 8 = -a. Solve -2*j - g*j - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b. Let l(z) = 3*z. Let p(q) = 6*q. Let i(h) = 7*l(h) - 4*p(h). What is i(n(o))?\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3579.148 + -0.48.\nAnswer: 3578.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 394*l + 0*l**2 - 195*l - 199*l.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**3 + 3*y**3 + 0*y**3)*(-y - 1 + 1) - y**4 - 5*y**4 + 7*y + y**4 in the form h*y**4 + a*y + k + m*y**3 + t*y**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0441747434 rounded to four decimal places?\nAnswer: 0.0442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 11. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5147197?\nAnswer: 11, 467927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.5 + -9. Let f = h + 0.3. Which is the nearest to 1? (a) -0.3 (b) f (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g**3 + 3*g**2 - 5*g - 5. Let i be l(-2). Let t = i - -82. What are the prime factors of 499\/4 - 1*t\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5789613*x**3 - 5829*x**2 + 2*x - 113 wrt x.\nAnswer: 34737678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Suppose 0 = -88*j + 86*j + 4, 4*j - 140 = -2*d. What is the lowest common multiple of x and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13545)\/(-11466) + 5\/(-130)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = 0, n - 3*s = -7*s + 23. Put 22, n, 0 in descending order.\nAnswer: 22, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -20.8.\nAnswer: -6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/7 + 56*q**2 + 18810*q\/7 - 39204\/7 = 0.\nAnswer: -99, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(5)*-6)\/((sqrt(120)*-2)\/sqrt(12)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 3*n**2 + 1. Let q be d(-2). Suppose -5*u = 2*i - 56, 5*i - 138 = q*u + 37. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 20*r. Let z(s) = 4*s**2 + 5*s + 4. Let t be z(-2). Let p be b(t). Let h = -4 + 7. Solve p*o = -o - h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948355577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1347*d - 186. Is a(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227430 divided by -75810?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/60 and 950*4\/1952 + (-24)\/12?\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142704.\nAnswer: 2, 71419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 36084, 2, 0.05, -5 in decreasing order.\nAnswer: 36084, 2, 0.05, 0, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 344*t + 339*t + 15 = 0, -4*t = 4*r - 36 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p + 0*p**2 + 10\/3*p**3 + 9. Is n(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -0.4, -4, 41 in increasing order.\nAnswer: -4, -3\/2, -0.4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.2 - 4. Let r = -5.2 + b. Let y = 4 + r. Are y and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-11))\/(y\/(y\/(y*y**7)*y)))\/(y**(-3)\/y*y)**(-3\/7) assuming y is positive.\nAnswer: y**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106*127.\nAnswer: -13462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -560\/3*s - 572 + 4\/3*s**2 = 0.\nAnswer: -3, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.06, 2, 51, -34.4 in increasing order.\nAnswer: -34.4, 1.06, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -4*l + 21, -5*l - 68 + 78 = -3*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142669*r**3 + 142667*r**3 + 3*r**2 - 3*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44346, -177421, -399204, -709689, -1108870?\n\"Answer: k**3 - 44360*k**2 - 2*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18216610 or -18216604?\nAnswer: -18216604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*j**2 - 270*j**2 - 224*j**2.\nAnswer: -436*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 11*w + 7. Which is the closest to w? (a) 3 (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 - (-2 + -2). Let u(n) = n**2 - n - 5. Let j be u(0). Let o(s) = s**2 + 4*s - 5. Let c be o(j). Solve c = -5*i + 16 + k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1623469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysswoswywdwyysyyd. What is prob of picking 2 w?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12822, 25660, 38498?\n\"Answer: 12838*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 3473, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/4552 and 23\/3414.\nAnswer: 13656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 29904000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 + 66\/14. Let f be (-12)\/4*1\/(-1). Suppose 0 = -f*y - 0 + 15. Calculate the highest common divisor of y and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**(-26)*y**(2\/5)\/y*y**5 assuming y is positive.\nAnswer: y**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 3 - 5)*(8*x**3 + 14*x**3 - 37*x**3) to k*x**3 + z*x**2 + l*x + b and give k.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/102472?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*2.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362 and 14666068?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81227295 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13130 (base 5) to base 10\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1059 divide 919763739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**15*q)\/(q*(((q\/((q*q\/(q*q**(2\/5)))\/q*q*q))\/q)\/q)\/q))**(6\/11) assuming q is positive.\nAnswer: q**(648\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2 - 6309315*a + 25824488 wrt a.\nAnswer: -2*a - 6309315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**6\/30 - w**5\/10 - 445*w**4\/3 + 5*w**3\/6 - 287*w**2\/2 - 1243*w. Find the second derivative of s(g) wrt g.\nAnswer: -12*g**2 - 12*g - 3560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 119?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + -2 - (-570)\/2?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 17640.\nAnswer: -1\/8820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*q - 12, 0 = -2*s - 0*s - 4*q + 20. Suppose 4*v + c = -33, 0*c - 5*c + 6 = v. Let o be (-2)\/(-6) + 3\/v. Sort s, 5, o.\nAnswer: o, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from qiqikkkqikqiqk?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1270927*g**3 - 5*g**2 - 3*g + 7. Let v be l(-3). What is v rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3890, -15722, -35496, -63212, -98870, -142470?\n\"Answer: -3971*s**2 + 81*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 8*j - 6. What is r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 19. Suppose 2*t = 2*j - t + b, -2*j + 5*t - 16 = 0. What are the prime factors of 22 + (4 + -1)\/j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129415.\nAnswer: 5, 11, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665411096 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106866022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/16 and 2\/7 + (-1835)\/910.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-28) + 0)*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**3 - 14*t**2 + 6*t + 10. Let x(k) = k**3 - 5*k**2 + 3*k + 10. Let p be x(4). List the prime factors of g(p).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f. Let k(l) be the first derivative of l**5\/10 + 11*l**2\/2 + 11. Let h(n) be the second derivative of k(n). Determine h(v(p)).\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 1168885864*d - 85393385191189156.\nAnswer: -4*(d + 146110733)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c - 2*v - 46 = -50*c, 0 = -c + 3*v - 23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 12066 = 5*o - 17964, -o = f - 6002. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.04, -4, -3 in decreasing order.\nAnswer: 0.04, -0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, p: 4}. What is prob of sequence pl?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -0.1, -5\/2, 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22223471 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:03 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgb. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78\/(2 - 10\/8). Let u = -158 - -239. Suppose a = 5*p - u. Solve 0 = -l + 3*n + 6, -4*l - 4*n + 13 = p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7107019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 4*d - 4. Let l(t) = 2*t**2 + 3*t - 5. Let m(u) = -4*l(u) + 5*x(u). Find the second derivative of m(k) wrt k.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 44 = 4*a, 0*h + 51 = 3*h - 3*a. Suppose h = -2*j + 42. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 799866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -191, -197, -205, -215, -227, -241?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q = 6. Suppose 4*l - m + 209 = -218, -3*l - q*m - 312 = 0. Let k = -59 - l. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z - 3. Let i be c(3). Let j = 243 - 240. Calculate the highest common factor of i and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 12 (c) 16 (d) 2\/105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7984 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 92*t**3 - 213*t**2 + 4*t - 63. Is x(8) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20669 + 31544. Suppose -8*c = -84083 + z. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.7 - 13.3. Let t = 33.19 + -16.28. Let w = t + f. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -5*a - 90. Suppose -3*g - 271 = -2*n, -4*g + a + 663 = 5*n. What is the highest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-18)\/8 + -3*(-700)\/(-75)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 11\/17 (b) 1\/3 (c) 495\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3*g - 2*b**2*g*z + 27*b**2*z - b*g*z - b*z + 15*b + z wrt b.\nAnswer: -18*b*g - 4*g*z + 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 12. Suppose -2*p - 3*p - 4*o = -65, o = i*p - 90. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 4*w - 3 + 0*w - 2. Let o(n) = -n**3 + 20*n**2 - 36*n + 5. Let u be o(18). Let a be d(u). Solve 5*s + 0*z - 15 = 5*z, 0 = -a*z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-80)\/(-15) + -6)*(-1 + -3521). What is the tens digit of 15\/(-35) + s\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let s(h) = 127*h**2 + 5*h. Let p(y) = 63*y**2 + 2*y. Let u(z) = 15*p(z) - 6*s(z). Calculate u(r(o)).\nAnswer: 183*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*t + 10. Let q(h) = -6*h - 4. Let f be q(1). Is t\/2*(f - -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -19*j + 20*j - 6 + 3 - j**2 + 0. Let z = 14 + -12. Determine m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45535, -45768, -46001, -46234, -46467?\nAnswer: -46700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + (-2 - 366\/(-18)). Let s = 11 + o. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697022713 to the power of 1\/2, to the nearest integer?\nAnswer: 41195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68095\/44 + 1548. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-5)\/(-4)) + -1. Suppose -a = 1 - 2. Sort a, -5, x in decreasing order.\nAnswer: x, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809198287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/13)\/v*v**(-16\/5))**23)**(-11) assuming v is positive.\nAnswer: v**(66539\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.21, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654302 (base 9) in base 13?\nAnswer: 6a1294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162 minus -15199?\nAnswer: 14037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 3924 = -3860 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 145207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 4785663.\nAnswer: 4\/4785663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/2 - 2) + -3. Let d(q) = -8*q**2 + 10*q + 10. Let b(t) = -5*t**2 + 7*t + 7. Let w(j) = -7*b(j) + 5*d(j). Determine w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11150748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.883 in -2\/9, -56, -17?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-14)*-18)\/((-1198)\/(-598) + -2). What is the highest common factor of h and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-322 + 40\/(-5)). Let o = 343 - 145. Calculate the greatest common factor of o and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -367, -569, -783?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -282\/1133951 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 1*(sqrt(2448) + -3 + sqrt(2448)).\nAnswer: -3 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 0.05, -5, 1\/2, -338, -98, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 82*s - 429. Give q(3).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5*(-216)\/972.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5*s**2 + 699*o**4*s**2 - 2*o**2*s + 7*o + 5*s**2 wrt o.\nAnswer: -60*o**2*s**2 + 16776*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/15 + (1 - 1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -2.2. Let f = -0.5 - x. Let q = -400 + 399.5. What is the biggest value in -5\/3, f, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150038 - 150038 - 5417*t)*(4 + 1 - 6)*(t**2 + t**3 - t**2) to n*t**2 + m*t**3 + j + g*t + z*t**4 and give z.\nAnswer: 5417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/5 - 14*o**3\/5 = 0. What is o?\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -23, 1\/7, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 16*r**3\/5 + 12*r**2\/5 + 2*r\/5 = 0.\nAnswer: -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 2\/25 (c) -0.3 (d) -3 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5029 - 0.8788. Let f = l - -0.37. Round f to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4515 - 4516.3456. What is i rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 14. Suppose -6*l + 80 = 14. Suppose 0*w + 8 = 4*c + 3*w, w = 0. Calculate the least common multiple of i(l) and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -29.\nAnswer: -13\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**4*w - 796*s**3*w + 8*w - 59 wrt s.\nAnswer: -4*s**3*w - 2388*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1683*q - 9486.\nAnswer: 1683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 162\/60 + (-2)\/10. What is the closest to 1\/5 in q, -1, 5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*g - 12*g = -70*g + 15 + 2262 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*i + (2*i + 3 - 3)*(-3 - 2 + 3))*(-3*i + i + i)*(-182 + 94 - 65).\nAnswer: -306*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-48)\/(-320))\/((-1)\/28)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80323\/2 - 39251. Let w = k + -943. Calculate the common denominator of w and -47\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, v: 7, d: 2, o: 3}. Give prob of picking 1 v, 2 m, and 1 d.\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**4 + 685*a**3 + 35*a**2 - 4825*a + 4110 = 0. What is a?\nAnswer: -3, 1, 2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-4)\/36)\/(130\/(-39))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4 = -11 + 17. Suppose -4*g - g + 75 = 0. Suppose -87 = -i*x - g. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3937, 3928, 3923, 3922, 3925?\nAnswer: 3932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*c - 1)*(34*c**2 - 827 - 35*c**2 - 195) to the form g*c**3 + h + u*c**2 + r*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1\/23, -3\/356, -8?\nAnswer: -3\/356","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219362\/5 + 43876. Let -33\/5*a + 3\/5*a**3 - 12\/5*a**2 - v = 0. Calculate a.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2\/7 (b) -4 (c) -3579 (d) 3\/7 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2489231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -59953030478 and -20.\nAnswer: -59953030498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-597)\/398)\/((-18)\/(-4)). Let r = 3.3 - 3. Which is the third biggest value? (a) r (b) 5 (c) -53 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 7:31 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 1383317?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (441*v - 115*v + 115*v)*(v + 0*v + 3*v + 1) to the form g*v**2 + c + j*v and give g.\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 46. Suppose 50 + c = 4*d - 3*h, 5*h + 66 = 4*d. Suppose 106 = 5*a + 2*r, 2*a + 3*r - 30 = d. Solve 5*z - 10 = -2*p - p, -3*z + p + a = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 158.\nAnswer: -15\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (56103\/6)\/((-3)\/(-6)).\nAnswer: 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44537, -356293, -1202499, -2850383, -5567173, -9620097, -15276383?\nAnswer: -22803259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a = -5. Let w be 9 + a*(-1)\/(-1). Suppose -v + 5*v - 55 = 5*i, 3*i - 3 = 0. What is the greatest common factor of w and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 16. Let p = h - -6. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 7, 1, -17\/5, -1, -0.311?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 212033 (base 4) to base 10\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + 4 + 2*sqrt(1539) + sqrt(1539) + sqrt(1539) + 6*sqrt(1539)*1 + 3)**2*1*3.\nAnswer: 8100*sqrt(19) + 2308635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111 (base 2) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/30*(-10 - (-588)\/48)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 864 = k. Suppose -u = -25*u + k. What is the highest common divisor of 15 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -916, -1088, -1372, -1768, -2276, -2896, -3628?\nAnswer: -4472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 17*i**3 + 20.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7635, -30551, -68745, -122217, -190967?\n\"Answer: -7639*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-27)*-3*(-42)\/18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -2*m - 84. What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 3*y + 12*y + (0 + 2 + 3)*(-y + y + 2*y).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*z - 276 + 123 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/15)\/((-2)\/(-9)). Let f(c) = -c**2 + 4*c + 7. Let u be f(5). Suppose -u*h - d*x + 5*x + 26 = 0, 59 = 5*h - 2*x. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -1.1 (c) -3 (d) 0.2 (e) -0.11 (f) -8 (g) 1\/162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 - 3 + 0 + 16*l**3 - 17*l**3 - l to the form s + p*l**3 + g*l**4 + u*l**2 + t*l and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 58. Let g = z + -7. Let n be 4\/(-5)*5\/(-2). Which is the third smallest value? (a) n (b) 2\/15 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5585*h + 5599*h - 28 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08966 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 30*s + 33. Let t be n(29). Solve -c + 3 = -t*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2322 * -5.\nAnswer: 11610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5268957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*k + 32590, -2*q + k = -7*q + 32606. Suppose -9*x + q = -3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13094, 13099, 13106, 13115, 13126, 13139?\n\"Answer: t**2 + 2*t + 13091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.65385t in nanograms?\nAnswer: 15653850000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-42)\/(-35))\/((-3)\/(-15)). Suppose q = -17*b + 20*b. Factor 1 + 3\/2*c**3 - 3\/2*c - 1\/2*c**b - 1\/2*c**4.\nAnswer: -(c - 2)*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 72*t - 1260. Let h be u(42). Sort 2, h, -2, 11, 1 in decreasing order.\nAnswer: 11, 2, 1, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:35 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/6, 28517, -0.2 in decreasing order.\nAnswer: 28517, 1\/6, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (236\/30 - 1) + 176\/1320.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-20)\/6)*(-4)\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*a + g, -2*g - 665 = -669 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/5 + 30\/6. Let h = -2.2 + 2. Which is the nearest to t? (a) 8 (b) h (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Suppose -5*t + i*t = -315. Suppose -3*j - 2*k = -t, -3*j + 2*k = -42 - 75. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/25)*i)**(1\/7)\/((i**(-1\/10)\/i)\/((i*i**(12\/7)*i)\/i)) assuming i is positive.\nAnswer: i**(1391\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 4:42 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-336)\/(-105))\/((-148)\/2775)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - a + 4 = 33, -5*w = -5*a + 125. Let u be (w\/1)\/((-3)\/(-2)). List the prime factors of 4\/u + (-110)\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225136854?\nAnswer: 2, 3, 1823, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8681 + 104257\/12. Calculate the common denominator of u and (-825)\/(-200)*(0 + (-5)\/6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.4 + -1.4. Let q = x + -4. Suppose 0*v - 3 = -3*v. What is the nearest to v in 2, -0.5, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415525 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89856 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 5 = -8*o. Suppose 0 = o*m + z - 11243, 11924 - 2929 = 4*m + z. Let w = m - 887. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -189?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*m + 22, -j = j + 5*m + 19. Suppose -j*d = -5*d + 50. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/119 and 47\/2.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -982*p**2\/5 + 904*p + 33792\/5 = 0.\nAnswer: -4, 4224\/491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22122000 + 3?\nAnswer: 22122003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7958 + -2.77. Round l to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51473 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-127)\/(-30) + -4 + (2 - 14\/10). What is the third smallest value in -3, -14, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 0*d**2 + 3*d**2)*(-18*d + 23*d - 12*d).\nAnswer: -35*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4)\/(-1) + 160\/(-35).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -747ccc6?\nAnswer: 747ccc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 8*p + 148904 = -262045. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -a?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 47554 = 12*u. What is the greatest common factor of u and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 12)*(-2*v + 0 + 0)*(32 - 32 - 7*v**4).\nAnswer: 238*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 18. Suppose 0 = -z*p + 28 - 12. Suppose p = i - 3. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 209*u + 427*u - 216*u)*(702 - 702 + 35*u**4).\nAnswer: 70*u**5 + 2030*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14699 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 20*o**3 - 20*o - 60. Let y(s) = -s**3 + s**2. Let i be (-5)\/((-5)\/2) - (2 + -1). Let t(c) = i*k(c) + 15*y(c). Determine z, given that t(z) = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 48*c = -16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-2\/7)\/d)**(-32)*d**(-2\/33)*d*d*d\/(d\/(d**(4\/9)\/d)) assuming d is positive.\nAnswer: d**(-14881\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 3*o + 295, 0*l - 4*l - 4*o = -1180. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 873 + 6600 = 0. What is the smallest common multiple of r and 15?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3498829579 to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i. Let k be p(2). Let v = 0 + 0. Suppose -o + v = k. Is -5 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 1, i: 14}. Give prob of sequence ic.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 3*g**3 + 0*g**3 + (3*g**2 - 3*g**2 + 2*g**2)*(0*g - 7*g + 2*g) to the form f*g + t*g**2 + s + w*g**3 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3. Let z be (-3 - 8 - -10) + 2. Let x(l) = l**2. Suppose 5*f - 6 = 4*f. Let h(k) = 2*k - 14. Let b be h(f). Give b*x(s) + z*w(s).\nAnswer: -2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*a - 24, -3*a + 2*a = -1. Suppose 5*s = k + h - 26, -3*s = k + 3. Let o(m) = 3*m - 4. Give o(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739170 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 828*b**3 - 7*b**2 - 19834*b.\nAnswer: 4968*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2. Let c(j) = -98*j**2. Determine c(g(l)).\nAnswer: -1568*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = -18, -5*u - r = -71. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59480*v - 2 + 0 + 59432*v + 0 + 5*v**2 to g*v**2 + z + k*v and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 2.16.\nAnswer: 6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:47 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 95088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 - -130. Let b(r) = 2*r**2 - 14 + 5 + l. Let d(q) = -22*q**2 + 0*q**2 + 2*q**2. Give b(d(i)).\nAnswer: 800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(6)\/(sqrt(22)\/sqrt(396)) + 3)**2.\nAnswer: -351 - 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/216 and -11\/2043?\nAnswer: 49032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**5\/60 - 5*d**4\/24 - d**2 + d. Let r(j) be the first derivative of c(j). Find the second derivative of r(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/327 and -103\/66?\nAnswer: 7194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 33*i**2 + 895*i + 132. What is w(-26)?\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(441)\/(sqrt(63)\/sqrt(9)))\/(5*sqrt(576)) + 4.\nAnswer: sqrt(7)\/40 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**6\/120 - q**5\/15 - q**3\/6 - 11*q**2\/2 - 16. Let t(k) be the second derivative of y(k). What is the units digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85507, -85514, -85531, -85564, -85619, -85702, -85819?\n\"Answer: -j**3 + j**2 - 3*j - 85504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 670762950541 and -0.5.\nAnswer: 670762950540.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -25. Let i be 2\/((r + 3)\/(-4)). Let w be 12\/12*(i + 30). Solve 4*y + 14 = -6, -5*y = -4*b + w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 - -56836921\nAnswer: 56836787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 - 5*n + 1. Let d(p) = 10*p**2 - 11*p + 3. Calculate -3*d(s) + 7*x(s).\nAnswer: 5*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 12. Let k(i) = -7*i - 12. Let f(s) = 8*s + 13. Let m(c) = w*f(c) + 5*k(c). Let p be m(-5). Solve p + 1 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 10, o: 4, t: 2}. What is prob of picking 1 s and 1 o?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -240411?\nAnswer: -240421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4958, -9933, -14894, -19835, -24750?\n\"Answer: p**3 + p**2 - 4985*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-19781)\/(-2))\/(15\/30). What is the greatest common divisor of y and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49068 and 504.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827155053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8341\/1660 - 305\/83. What is the common denominator of i and 77\/740?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902979048 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -6a447?\nAnswer: -6a443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 61, 106, 177, 280, 421, 606, 841?\n\"Answer: g**3 + 7*g**2 + 17*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152619 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -4*n**7\/7 + n**6\/15 - 9*n**4 - 5*n - 29. What is the third derivative of w(y) wrt y?\nAnswer: -1440*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 times -0.0244372\nAnswer: -1.344046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136 - 12031?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*l + 23 = 0, t + 5*l - 26 = -0*t. Solve -t + 5 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*v - 88, -32*x = -36*x + 5*v + 48. Solve x*f + 20 = -2*d + 20*f, -5*d - 40 = -5*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yelm when four letters picked without replacement from {m: 1, y: 3, e: 1, l: 4, h: 6, g: 3}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 8*s**2 + 13*s - 6. Let n be l(7). Suppose -20 = 4*z + 104. Let b = n + z. List the prime factors of b.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20*(-1)\/(-10))\/(6\/9). Let a = -5\/9 + 157\/315. Is a less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0 + 0*s - 33*s**2 + 17\/24*s**4 - 1\/3*s**3. Let i(d) = -8*d + 1. Give 9*i(v) + 4*w(v).\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:11 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104960 and 182450.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 5*j**2 + 4*j + 3. Let v = -41 + 8. Let p = -39 - v. Determine a(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from khhpppjkpvhkh?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104*j**2 - j**4 - 74*j**3 + 195*j**2 - 91*j**2 - 2*j to n*j**3 + f*j**2 + r*j**4 + y*j + m and give n.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 481 = 13*b. Let l = b - 31. Solve 2*f - l*k = -21, -5*k = 4*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84145?\nAnswer: 5, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24040794 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: Suppose -17*t = -57*t + 320. Suppose t*w - 73192 = -0*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21 + -8 - 0\/(-2). Calculate the highest common factor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 3:45 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by ((-2)\/(-6))\/((-275)\/(-23100))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1254 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**3*q*z**2 - 11*m**3*z**2 + 1656*m**3 + 1717*m*q*z**2 wrt q.\nAnswer: -m**3*z**2 + 1717*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h - 135*h + 39*h + 48*h + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1092\/5 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 5*n + 3*u, -5*n - 5*u + 27 - 12 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*g - 77*g + 151*g - g**3 + 19*g**3 wrt g.\nAnswer: 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554 divided by 13621?\nAnswer: -554\/13621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -320 + 458. Let i be 3\/(-2 - (-285)\/u). Let k = 64 - i. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4412 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*a**3 - 1195*a**2 - 4080*a - 945.\nAnswer: 5*(a - 63)*(a + 3)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/5))**(-24\/5)\/(r**(-2)\/r**(-2\/3)))\/(r\/r**9*(r**(-6)*r*r*r)\/r*(r\/(r*r**(-1\/3)*r))**(-2\/3)) assuming r is positive.\nAnswer: r**(2252\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/132 and -89\/10868?\nAnswer: 32604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4635037 divided by 6\nAnswer: 4635037\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -22, 2\/7, -0.1, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25480 is divided by 1260?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/40)\/((-16)\/(-20)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 1704*n = -1706*n + 16, 5*o - 4*n = -35 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -11. Let l = -6 - q. Suppose -l*a - 2*h - h = -36, -2*h = 3*a - 33. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (1 - -11) + -11 + (-2 - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 0, -40 in ascending order.\nAnswer: -40, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 0 - 7*f**2 - 2*f**2 + 2. Let h be s(-3). Let c = h - -135. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-50)*(-30)\/(-3)*10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -51. Suppose f*r - 5*y + 25 = 0, 3*y + 2 - 17 = -3*r. Suppose 7*w - 3*w - 460 = r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-40)\/17)*122\/(-366).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1128? (a) 0.328 (b) 0.13 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -8*l**2 - 125*l**2 + 2 + 11 - 59 - 28 + 173*l. Differentiate m(c) with respect to c.\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6826 + 6827. Solve 0 = 8*l - 3*l + g - 27, x = -l + 3*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 575 and 207?\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**2 - 785*i + 27*i**3 + 58*i**3 - 3*i**2 - 3*i**2 + 8*i**2 - 14*i**4 wrt i?\nAnswer: -336*i + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(252) + -1 + 5 + -3) + (-4 + sqrt(252) + 0 + sqrt(252) + 3 + -5*(-1 + sqrt(252)))**2.\nAnswer: -108*sqrt(7) + 2290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8843.4 - -8843. Put t, -4, -0.48, -6 in decreasing order.\nAnswer: t, -0.48, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + sqrt(147)*2 + -3)**2.\nAnswer: -126*sqrt(3) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -24*u - 4. Let b be c(3). Let f = b + 77. What is the nearest to f in 1, 3, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/360 and -77\/7380.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300 + -301. Suppose -3*q + 4 = -q. Suppose 4*r = -0*r - u - 32, -q*u - 22 = 2*r. Are h and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-12)\/9) - (-413)\/133. Let u(i) = i**2 - 53*i + 591. Let q be u(37). What is the third smallest value in -2, r, 2\/7, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 40.833202\nAnswer: -122.499606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*b - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32320321130030 + -11?\nAnswer: -32320321130101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4)*348\/580?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d + 9 = 0. Let u be (-30)\/d*3\/(-2). Let z(h) = h + 1. Is z(u) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73662562247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0*f**2 + 0*f**2)*(-2*f + 2*f + 3*f**2) + (4*f + f - 3*f)*(-9*f**3 - 4*f**3 - 14*f**3) + 3*f**4 - 2*f**4 + 0*f**4.\nAnswer: -56*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**5 + 225*b**4 + 964*b**3 - b + 8796787.\nAnswer: 80*b**3 + 2700*b**2 + 5784*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 8 + 2. Let d be 0 + (u - 0\/1). What is the derivative of 2*j**3 - j**3 - d + 6*j**3 - j**3 wrt j?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2975*o + 1107*o + 931*o + 935*o. Let f(b) = 10 - 10 - 113*b. Give c(f(h)).\nAnswer: 226*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -53*g**2 - g**3 - 15 - 6*g + 53*g**2. Is s(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 6) + (-436)\/327*369\/(-30)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.95 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2126595517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184864801?\nAnswer: 11, 16805891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 614018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3992 - 257. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-136) + (-45)\/(-30))*9*2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(t**2 - 5*t**2 + t**2) - t**2 - 2*t**2 + 4*t**2 + 16*t + 12*t**2 - 7*t**2 + 37*t.\nAnswer: 12*t**2 + 53*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/79372734 and -23\/37796540?\nAnswer: 793727340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55\/2 of a minute?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x)\/(x\/(x*x**(1\/11))) assuming x is positive.\nAnswer: x**(35\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 804 - 800.7. Let a = 3.78 - 0.18. Let z = v - a. What is the third biggest value in 2\/13, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4152)\/(-8996)*(-130)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 42*s**2 + 12*s - 400. What is the hundreds digit of v(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1375) + 1*sqrt(1375))*4)\/(-4*sqrt(5)*-1 + sqrt(25)\/(sqrt(5)*2)).\nAnswer: 80*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8732 + 82425. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from wczz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i**4 - 12*i**3 + 2*i - 25308.\nAnswer: 28*i**3 - 36*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 325.2 and -1?\nAnswer: -325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*q + 36 - 36 + (4*q - 2*q - q)*(0 + 3 - 2) - q + 2*q + q)*(-q + 1 - 1) to the form g*q + d*q**2 + n and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m - 3*m**2 - 35 + 4*m**2 + 0*m**2 + 26. Determine q(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52228339 to the nearest integer?\nAnswer: 7227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*m - 14 = 0, -1 + 7 = -3*m. Let l be 102\/(-27) + (-4)\/18. Calculate the remainder when (24 - (-2 + -1)) + l is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = 46*h - 1241 - 3516. What is the remainder when 67 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83\/6 - -427\/30. Let f = 8 + -38\/5. Factor 0 + 0*t**2 + 4\/5*t**3 - i*t + 0*t**4 - f*t**5.\nAnswer: -2*t*(t - 1)**2*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -497277, -1989363, -4476171, -7957701?\n\"Answer: -497361*i**2 - 3*i + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/3 in -2, 0.003, -31, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + z**2 + 18*z - 17*z - 11*z + 0*z**2 + 77 to the form h + i*z**2 + o*z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*z = -6*y + 4*y - 104, -4356 = -4*y + 233*z + 2834 - 1132 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**6*y*y)**(-11))**19)**(-31) assuming y is positive.\nAnswer: y**58311","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 15) to base 5.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 12:24 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 0, 0 = 3*q - 2*c - 0*c - 24. What is the remainder when 33 is divided by (18\/q)\/((-2)\/(-16))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j**3 - 14*j**2 - 3*j + 12. Calculate u(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from oogydooooaooooop?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - c**2 - c**2)*(-9*c**2 + 6 - 5 - 2*c - 2) + (c**3 - c**3 - c**3)*(2 - c - 2) + 7*c**4 - 8*c**4 + 12*c**4.\nAnswer: -15*c**4 - 6*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -153.8 - 0.3.\nAnswer: -154.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27692 - -29095. Calculate the greatest common factor of 115 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let f be -1*(-9)\/(-3) + 4. Let s(m) = m**2 + 3*m - 2. Let q be s(f). Do q and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 4655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -4)\/(1 + 2 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0*l**2 + 20*l + 2\/3*l**3 + 0. Give p(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-3))\/48*(-216)\/96\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 44, -8, -4, 7, -6 in decreasing order.\nAnswer: 44, 13, 7, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z + 27 = 61 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:52 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -3 - 7 - 10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5710631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3211*i**2 + 138 - 276 + 138 - 1203*i**2.\nAnswer: 2008*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -949 + 951. Let a be (-1)\/1*69\/9. Let w = a - -7. What is the nearest to y in -5, -3\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39811695?\nAnswer: 3, 5, 7, 11, 34469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 + 316 = 72*q + 32 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-80)\/(-6)*(-126)\/(-35). Let q = -26 + d. Solve -3*h - 29 = -5*i, -5*i = -2*h - 4 - q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9632638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11468 - 3.28138. Let x = -3.4 - v. Round x to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -112, -324, -536, -748, -960?\n\"Answer: -212*c + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -36*p**5\/25 + 6*p**4\/5 + 44*p**3\/15 - 8*p**2\/5 - 16*p\/5 + 4. Determine n so that v(n) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1, 12 in decreasing order.\nAnswer: 12, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27910.621 rounded to the nearest 10?\nAnswer: -27910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 0, -4 in ascending order.\nAnswer: -4, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h + 40. Let l be m(-12). Suppose -268 = -5*j + 3*q, q + 58 = j + l. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 5*n - 4. Calculate u(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 566\/15 - 151\/3. What is the common denominator of y and (-2)\/(-3) - (-412)\/(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9401060243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14965 divided by -205?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3997543mm to kilometers.\nAnswer: 0.0000003997543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-2\/71)*c)\/c*(c**(-2\/11)\/c)\/c*c\/c**(16\/3)*c**17 assuming c is positive.\nAnswer: c**(29186\/2343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*k - 8, -7*f = -2*k - 2*f + 2. Let r(s) = 6 + 1 + 3*s - 2*s. Let q(n) = 1. Let a(l) = 2*q(l) - r(l). Determine a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 2*q**2 + 28. Let v(z) = z**2 + 2. Let b(i) = -3*i**2 - 4. Let o(m) = -b(m) - 2*v(m). Determine o(a(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -396256*17\nAnswer: -6736352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w - 1. Let j be f(2). Suppose -u = j*o + 28, u + o = -5 - 3. Is u less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 32. Solve 0 = -3*x - 2 + p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + 11*r + 9*r + 12 - 14 to the form v*r + z*r**2 + c and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/13, 4, 0.57 in ascending order.\nAnswer: 3\/13, 0.57, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 3*v - 6*v. Suppose -6*p = -4*p - v. Calculate the highest common factor of 150 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/2 - 699*m**3 - 20295*m**2\/2.\nAnswer: -3*m**2*(m + 15)*(m + 451)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-3*-3)**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3320 + 3?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4451, -9867, -15285, -20705?\nAnswer: -26127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*c - 6. What is the closest to c in 4, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18164 + 1.21\nAnswer: -18162.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**6\/120 + 3*v**5\/20 + v**4\/24 + 3*v**3 - 294*v**2. What is i(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 + 7*x - 13. Let z(n) be the first derivative of n**4\/2 + 2*n**2 - 7*n + 2. Let k(a) = 4*f(a) - 7*z(a). Differentiate k(w) wrt w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - -8. Let j be (11\/y)\/(2\/(-16)). Let q be 28\/10 - (j - -7). Are q and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 2, g: 2, a: 1, p: 1}. Give prob of picking 1 a and 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 - z**3 + z**3 + (-4 + z**2 + 4)*(-13*z + 36*z - 38*z) to q*z**3 + l*z**2 + n*z + g and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*s = 2, -11 = -n + 3*s - 5. Let x be (3\/n)\/((-1)\/9). Suppose -x*f - 3*a = -84, a + 15 = -4*a. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1550 - 0?\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 = p - 6, -2*p + 3 = 3*v. Let i = p + 2. Suppose 4*s + 19 = 4*c - i, 5*c = -4*s - 15. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414 - 414 + 1467*y**3.\nAnswer: 1467*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -18. Let c be 845\/104 + z\/16. Solve n = 3*n + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((7\/(-28))\/1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**4\/16 + u**3\/12 + u**2\/4 + 7. Factor i(o).\nAnswer: -o*(o - 2)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 21*b**2 + 1051*b - 5264. Give m(5).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*c**3 - 128*c**3 + 268 - 14.\nAnswer: -2*c**3 + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 16*h**2 - 11*h - 4. Let x be o(-16). Suppose -x = -s - 316. What is the tens digit of (s\/64)\/((-1)\/76)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 7:52 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 204641 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -14*v - 39. Give i(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*w + 4*o, 0 = -4*w + 9*w + 5*o + 15. Solve 3*v + 40 = -4*a + 8, w = 3*v - 5*a - 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let w(y) = 7 - 2 + 7*y**2 + 3*y - y**3 - 3*y**2. Let h be w(5). Sort h, -1, k.\nAnswer: h, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -130 + 521\/4. Let p = -0.1 - 0.3. What is the biggest value in 2, p, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqqqvavaulq. Give prob of sequence lu.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 3*v**4 - 18*v**2 + 2*v**2 - 2 + 0 - 2*v**3 in the form q*v**3 + p*v + b*v**2 + g + c*v**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*a - 10, 4*b + 0*b + 20 = 3*a. Let f be (-2)\/(-1 - -2) - b. Suppose 2*y + 0*y - 6 = f. Solve -w + y = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158858 is divided by 52944.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = 2*g. What is the smallest value in -3\/2, 2\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-11 - -6))*1. Suppose -5*i + 48 = -2. Suppose -3*n - i = 4*l, 0 = -n + 5*l - 0*l + 22. Solve n*r + 25 = s*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/4)\/(-9)*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -158 divided by 79\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.06 - 0.025852121267.\nAnswer: -2.085852121267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 125 + 1315 = 0. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*d**5 - 14*d**4 + 1484*d wrt d?\nAnswer: 1120*d**3 - 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*x**2 - 119*x - 4 + 39*x + 4 - 32*x**2 + 5*x**5 wrt x.\nAnswer: 100*x**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 344, 2958, 10134, 24152, 47292, 81834, 130058, 194244?\n\"Answer: 380*q**3 + q**2 - 49*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*v = -3 - 2, -k + 5*v + 4 = 0. Let l(x) = -x - 4*x**2 - 2*x**2 + x**2. Determine l(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) + 1 + 44\/(-8). Let a(t) = 11 + t + 6 - 3. Is 8 a factor of a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60147649 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267 - -266.9. Which is the second smallest value? (a) 1\/17 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -3 (c) 5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -0.2, 787\/2 in decreasing order.\nAnswer: 787\/2, -0.18, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131003 - 131003 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -381, -1\/3, -1\/7, 0?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -15. Solve -w*l + 4*q - 2 = -0, 4 = -2*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/3 + 3625*q\/3 + 114976\/3 = 0 for q.\nAnswer: -3593, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231609351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(((-248)\/(-80))\/(-31)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 2:59 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + h - 1, 6 = 2*h. Suppose -j*g = 3*g. Suppose g = -4*k + 4*q - 5*q + 64, -32 = -2*k + 4*q. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t + 180*t**2 + 21*t - 14 + 14 to r*t**2 + w + h*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + s)*(54316 - 54316 + 2479*s).\nAnswer: -7437*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 16 - 26*s + 32*s to w + f*s and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11731 and -43166.\nAnswer: -506380346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(112)*-2*4 + sqrt(112)*-1 + 3)*-3)**2.\nAnswer: -163458 + 3888*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-16)\/3)\/(8\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 3)*(1300 + 77*k + 68*k - 150*k) in the form p*k + y and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 + 4*g**2 - 4*g - 2. Suppose 4*f + 10 = -18, 3*m + 4*f = -13. Let y(p) = 2*p**3 + 5*p**2 - 5*p - 2. What is m*t(v) - 4*y(v)?\nAnswer: 7*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - u = -18 + 13, -t - 5*u = -25. Suppose 160*s - 169*s + 297 = t. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 197*k**2 - 223*k - 4864. Give a(-198).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*a**2 + 39*a**2 - 179*a**2 to the form s*a**2 + p*a + k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6 + (-13)\/21. Suppose -y = -2*y - 10*y. What is the third smallest value in y, k, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 1 in increasing order.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17897*b**2 - 5 + b + 17897*b**2 + 12*b**3 to l*b**2 + r*b**3 + q + g*b and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*u**2 - u - 12*u**3 - 101*u**2 + 0 + 1 + 3*u**3 to v*u + f + j*u**3 + z*u**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -2 - (1 - 5)*1 and -1 + 2 - -2 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 60718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 111211240, 222422479, 333633718?\n\"Answer: 111211239*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 6*h + 5*h + 9 = 0, 5*p = 4*h - 25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 7*y**2 - 7*y + 10. Let g be j(6). Solve -p + g*u + 3 - 12 = 0, -u = -4*p - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, 1\/3, 1\/2, 37, 241?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**6\/2 - 3*p**4\/4 + 8*p - 1. Let u(d) be the first derivative of h(d). Find the third derivative of u(i) wrt i.\nAnswer: -360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + 0)*(3 - (-36)\/(-8)). Does 73 divide (-3057)\/(-6) + (-9)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**5 + 160*o**3 + 104*o wrt o.\nAnswer: 40*o**3 + 960*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + c - 4. Let x be ((-90)\/(-135))\/(1 - 19\/21). Suppose x*u = -u. Calculate k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2201 and 23374.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*v + 85 - 85)*(8 - 4 + 13).\nAnswer: -357*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -1\/5 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 37*l**2 - 52*l. Let y(f) = 12*f**2 - 17*f. Let k(g) = -3*w(g) + 8*y(g). What is the second derivative of k(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6173\/7 + -881. Factor -16\/7*m**2 + 2\/7*m**5 - c*m + 0 + 0*m**4 - 12\/7*m**3.\nAnswer: 2*m*(m - 3)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -56*x. Let s(i) be the third derivative of -13*i**5\/60 - 663*i**2. Give s(d(y)).\nAnswer: -40768*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 + 0.19. Let p = -0.06 + l. Let d = 555 - 554.7. What is the third biggest value in p, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(20) + -4*sqrt(20)))\/(sqrt(8)\/sqrt(2)*3).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 260*l**3\/3 + 95*l**2 - 174. Find the second derivative of b(n) wrt n.\nAnswer: 520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-345)\/90 + 1\/(-2)*-8\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*u - 342 = -74. Solve 3*g + 7 = -u*i, -2*g + 20*i - 12 = 19*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425614174 to the nearest integer?\nAnswer: 20630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-98982908)\/733154 + (-1)\/(-103)\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 - 5*f**2 - 8*f. Let j be s(-2). Let r(h) = -h + 17. Let b be r(j). Solve 0 = -b*a + 10, 1 = -4*x - 4*a - 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgcg when four letters picked without replacement from {g: 4, l: 1, p: 4, o: 1, c: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2117310*r + 1140. Let l be o(6). What is l rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - p + 4. Let r(h) = 2*h**2 + 4*h - 12. Let a(x) = -x**3 - 34*x**2 + 21*x + 707. Let l be a(-34). Calculate l*c(q) - 2*r(q).\nAnswer: 3*q**2 - q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*o**2 + 6*o**2 + 50*o**2)*(-19*o**2 - o**3 + 28*o**2 - 11*o**2).\nAnswer: -96*o**5 - 192*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -865 - 753 = -2*s + 3*d, 4 = -d. List the prime factors of s.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34*-1723541\nAnswer: 586003.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (5 + 0 - 1). Let d(x) = -x**h + 2*x + 4900000 - x**3 - 3*x + 2*x**2. Let n be d(0). What is n rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 4 = -6*d - 19 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2429395 and -1?\nAnswer: -2429395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**9\/4536 - t**7\/630 + t**5\/180 - 5*t**3\/6 + 4*t. Let j(z) be the second derivative of f(z). What is v in j(v) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900) + -2*sqrt(1900)*-3)*2 + (4 + (sqrt(1900) + -1)**2 - -2*sqrt(1900)*3) + -3.\nAnswer: 200*sqrt(19) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2110\/(-844)*(-6)\/75*20\/(-78)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.106 - 1\nAnswer: -1.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - -6*(-6)\/4. Let w be -2 + m\/(-3) + (-11)\/(-33). Let v(u) = -u**2 + u - 1. Determine v(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 18 + 41 - 34 = -2*c, -5*v - 5*c - 137 = 3 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/7, 0, -19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -75*(0 - (-2)\/(-6)). Suppose -3*a = 5*k - 10, -4*a + 3*k - 10 = n. Sort a, -2\/5, -2.\nAnswer: a, -2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 52, 104, 166, 232, 296, 352, 394?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 12:20 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124697536 and 2944.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.07816 rounded to 2 dps?\nAnswer: -40.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a37 + -9?\nAnswer: a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 38. Let p(f) = -4*f**2 + 4*f - 288. What is -p(x) + 8*q(x)?\nAnswer: -4*x**2 - 4*x - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -13. Let r(o) = -8*o**i - 3*o - o**3 - 3 - 5*o + o. Calculate r(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -1 - (47 - 39 - (-15 - 5))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((4 + -3)\/1)\/(5\/15). Suppose 0*z**2 - 1\/3*z + 1\/3*z**i + 0 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29730456 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*i + 55062 = 0, -5*i - 55032 = -15*z + 12*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 178547153*l**3 + 3 + l - l**2 + 178547152*l**3 - 3. Suppose -5*h - 10 = -0*h. Let p(d) = 3*d**3 + 2*d. Calculate h*t(n) + p(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/42 and -29\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + x**4 - x**3 - 6 + 6 + 6*x**4 + (-4*x**2 + 0*x**2 + 5*x**2)*(5*x - 5*x - 2*x**2).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187147 is divided by 4055.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -27, -2 in increasing order.\nAnswer: -27, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2833 + 28*j + 2833)*(-2 - 3 + 7) - 3 + 3 + 2*j)*(6 - 3 - 1)*(3*j**2 - 3*j**2 - j**4).\nAnswer: -116*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -210231020 (base 4) in base 14?\nAnswer: -3cb0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 10:21 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972972.\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 2104. Suppose -z + 1055 + 10*q + q**2 + 1056 = 0. Calculate q.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3787\/(-4))\/(-7)*-4. Let q = x - -1123. What are the prime factors of q?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*m - 0*m. Suppose -2*x = -6*x. Suppose x = p - 4*g + g + 1, 2*p = g - m. Is p at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 656, 1371, 2086?\nAnswer: 2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-3))\/(-10 + (-225)\/(-27)). Let u(r) = 84*r - 2. What is u(t)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2192 * 0.1\nAnswer: -219.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*w + w - 3*w + (-1 + 4 - 4)*(-3*w + 3*w + 3*w).\nAnswer: -31*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -1)*(-299)\/39. Let h = j - 31. Let i be 20\/h*(-1 - 1). Sort i, 0, -1 in decreasing order.\nAnswer: i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - z**2 + 5 + 3*z - 6*z. Let n be p(-5). Solve -3*m = -m - n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400238, 3197398, 10789696, 25574702, 49949986?\nAnswer: 86313118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 3:25 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 + -0.288?\nAnswer: -0.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f - 2. Let b(r) = r - 3. Let x be b(5). Suppose -6*s - 5*u + 7 = -x*s, -4*u = -s + 7. Let t(q) = -s - 2 + q + 5. What is j(l) + 5*t(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - -1*sqrt(220) - sqrt(55))\/(-2*sqrt(891)) + -3.\nAnswer: -3 - sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/16 - (-300)\/(-272). Let b = -112\/221 - z. Is 1\/2 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 359699*v**3 - 1123655*v**2 wrt v.\nAnswer: 2158194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -53 + -5 + -55 + 85 - -25\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 17. What is the smallest value in -3, k, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v + 12. Let w(m) = -5*m + 8. Let j(a) = 4*t(a) - 5*w(a). What is j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 14. Let y be c(-6). Solve -s - 4*s - y = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12569 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: Let m(b) = 7 - 2*b**2 + 3*b**2 + 2*b + 0*b. Let o be m(-5). Let x(w) = -w**2 - 651*w - 15025. Let z be x(-24). Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69523999 to the nearest integer?\nAnswer: 8338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -61. Suppose -w - u*w - 4*t = -24, -4 = -4*t. Suppose 6 = -w*i - 2*k + 16, -5*k - 45 = -5*i. Solve i*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488600 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let v(i) = 14*i. Let h(x) = 21*s(x) + v(x). Let o(a) = 5*a. What is h(o(p))?\nAnswer: -35*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + 72 + -73.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1917, -2071, -2045, -1749, -1093, 13?\n\"Answer: 15*d**3 - 259*d - 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 - 18*o + 41. Let b be g(5). Sort -15, b, 2 in decreasing order.\nAnswer: 2, -15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*c**3*y**2 + c**2 + 28*c*y + y**2 wrt c.\nAnswer: 390*c*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1046032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -112, -2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46220894.\nAnswer: 2, 2237, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.138 times 275493?\nAnswer: -589004.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 68 - 5)*(-3*r**2 + 0*r**2 + 5*r**2)*(0 + 7 + 13) to v*r + o*r**2 + x and give o.\nAnswer: -2800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.0141\nAnswer: 0.00141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -8. Suppose 0 = z + 3, -k + 0*k - s = 5*z. Suppose k = 2*t + 24 - 134. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1852 + 760. Let w = l + -1389. What is the remainder when w is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 1450*t**2 - 105125*t.\nAnswer: -5*t*(t + 145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2883, -4566, -6249, -7932, -9615?\nAnswer: -11298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1 + 2\/6). Suppose -i*s - 3*x - 3 = x, 4*s = x + 15. Suppose 2*u - 8 = 0, 5*n - u = s*u + 24. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.36548 rounded to one decimal place?\nAnswer: -59.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/o**(1\/4))\/(o**(-4)*o**(1\/2)) assuming o is positive.\nAnswer: o**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q - 36. Let w = 2 - -2. Solve -w*v - 1 = s, -5*v = -4*s - 13 - q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 92*a + 408. Calculate the smallest common multiple of 16 and y(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 802300 and 73300.\nAnswer: 588085900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (-1 + -3)) + 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.6 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1223.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -15*a**2 - 5*a + 5. Let b(h) = -8*h**2 - 2*h + 3. Let s(y) = 5*b(y) - 3*n(y). Factor s(u).\nAnswer: 5*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 87 = -24. Suppose k + 46 = 2*q, -7*q + 10*q - k = 68. Let f = s + q. Put 0, -2, f in ascending order.\nAnswer: -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 99*h + 9153. Determine w(-56).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3849 is divided by 147?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -62520 divided by 6?\nAnswer: -10420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:01 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 38 (b) 8 (c) -2\/55 (d) 5 (e) -522\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t. Let h be i(6). Let n(f) = -f**3 - 5*f**2 - 5*f - 2. Let v be n(-2). List the prime factors of v\/h + (-60)\/(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -59\/54 (c) -3\/4 (d) 1 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 209059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -6*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s - 17*s + 33*s - 11 + 39*s**2 - 5*s - 22 to n*s + d*s**2 + p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 708422\nAnswer: 2833688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/240 + t**4\/96 + 8*t**2. Find i such that d(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -11*b**2 + 0 + b + 0*b**3 + 1\/1470*b**7 + 0*b**4 - 1\/105*b**6 - 1\/35*b**5 + 1\/2352*b**8. Find h, given that k(h) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156.06 * -2851\nAnswer: -444927.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19595, 19582, 19569, 19556, 19543?\nAnswer: 19530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14027 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 + 4)*(-5 + -2). Suppose 4*k = 5*d - g, 54 = d + 3*d + 2*k. Suppose q = 5*r - 82, 0 = r + 2*q - 4*q - d. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 1 - 6, 0 = -2*x - 2*j + 20. Suppose 0 = -5*o + x. Let n be -55*o*(-1)\/5. Solve 2*f - 4*d + 2 = 0, 3*d + n = -5*f - d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8527168 to the nearest integer?\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.1, 1, -1, 4\/11, -3\/667?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k + 892 - 1063 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 10*l + 3. Calculate v(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*n + 106*n = -2*o + 4474, -5*o + n = -11191. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44675 (base 12) in base 10?\nAnswer: 90809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(192) + sqrt(192)*3).\nAnswer: 128*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409 + 407. Let b(c) be the first derivative of 3*c - 1\/2*c**4 + 3\/2*c**2 + 1 - 2\/3*c**3. Give b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.82 minus -17.1?\nAnswer: 14.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/21 + 104\/28. Let u(o) = -o**2 + 5*o + 1. Let p be u(s). Suppose 2*r + h - 230 = p*h, -5*h + 447 = 4*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 2*y + 1. Let s be m(-2). Is 15 a factor of (0 + s + 1)*(-236)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.125 - 8.175. Let o = -1.8 + -6.2. Let q = x - o. Is q at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21100121 (base 3) to base 12\nAnswer: -312a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13304502 (base 6) to base 5\nAnswer: -103204103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64302425*q**3 + 7385885 with respect to q.\nAnswer: -192907275*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 5*j**2 - 7. Let l be r(-5). Let s = 10 + l. What is the second derivative of -4*x - 2*x**4 + 18*x**3 - 18*x**s wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-25)*525\/(-210).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxttxttt. Give prob of picking 3 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -171131679?\nAnswer: 85565839.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3629 divided by 5.\nAnswer: 3629\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117) + 5 - (sqrt(13) - (-1 + sqrt(13) + 4) - sqrt(13)) - ((sqrt(104) + 2*sqrt(104) + sqrt(104))*4)\/sqrt(8)) + 5)**2.\nAnswer: -7632*sqrt(13) + 70201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2213*t**4 + 527 wrt t?\nAnswer: -8852*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 9. Determine q(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27275916, -27275915, -27275914?\nAnswer: -27275913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 179 - 179.010384. Round v to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -30. Let c = 497 - 394. Suppose -d = -2*p + 86, -2*p + c = 3*d + 1. What is the highest common divisor of o and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/10)*n\/(n*n**(3\/4)*n)*n*n*n**0*n*n*(n\/(n\/(n*n\/((n*n\/n**(-1\/4))\/n))))\/n*(((n\/(n\/n**(-1\/3)))\/n)**4)**(-6\/13) assuming n is positive.\nAnswer: n**(593\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72 - 72 - 6*h)*(-2*h**3 - 1 + 1) + 2*h**4 + 9*h**4 - 4*h**4 to the form x*h**2 + s + i*h**4 + f*h**3 + a*h and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**7\/30 - 17*k**6\/120 - 2*k**5\/3 - 2*k**4\/3 + 137*k**2. Factor j(u).\nAnswer: u*(u - 4)*(u + 1)*(7*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -3, -3\/5, -170, -20?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*k - 1 = -1. Solve 0*r = -3*h + 3*r - 3, k = 2*r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 16. Let g be 2\/(-4)*((192\/18)\/(-2) - -6). What is the closest to g in -12, -2\/3, i, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004682659 to 6 decimal places.\nAnswer: -0.000468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - w**2 - w + 126. Let j be b(0). Suppose -n + 21 = v - 13, 3*v - 5*n = j. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 850 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 42*d**2 - 9*d**2 + 13*d**2 - 27*d**2.\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 1. Let t(d) = 2*d**3 + 2*d**2 - 2. Calculate 2*r(j) + t(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 + 54655*m + 54650.\nAnswer: 5*(m + 1)*(m + 10930)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 89 (b) -0.4 (c) 1945\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z. Suppose 2*u - 4*a + 20 = 0, 2*u + a = -z*a - 10. Is 1*4*(-3)\/u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -263275*l**2 + 3*l - 18275?\nAnswer: -526550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1316 = 2*p, d - 4*p + 109 = -333. Let h = d - -746. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/11 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 16*w**2 + 17*w + 1. Let t be z(-17). What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -348\/11 equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**2\/3 + 94679722*w\/3 - 2241062439499321\/3 = 0.\nAnswer: 47339861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -199*h - 1. Let x be g(-1). Let f = 11 - 6. Suppose 21 = -f*l + 111. What is the greatest common divisor of l and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 8*y = 15. Suppose -3*q = -24 + 3. Solve 5*r = -c - q, r + y*c = 6*r + 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22105, 22107, 22109, 22111, 22113, 22115?\nAnswer: 22117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-90)*-3)\/((-1)\/11673) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d - 5. Suppose 4*m = 3*m - 2. What is the tens digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 9. Let q be w(-17). Let d = -75 - q. Factor -4\/7*h**5 + 8\/7*h**3 + 0 + 0*h**d + 0*h**4 - 4\/7*h.\nAnswer: -4*h*(h - 1)**2*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 150 - 156 = 2*t, -30 = -5*c + 5*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*sqrt(175) + -1)**2 + (sqrt(63) + 1*sqrt(63) + -5)**2 + 1.\nAnswer: -100*sqrt(7) + 982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 13 + 8)*(0 - 5 + 4)*(2*n + 2*n - 7*n).\nAnswer: -141*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 + 14*f - 19. Let c be s(2). Let y(o) = 15*o**3 - o**2 - 15. Let h(q) = 3*q**3 - 3. What is c*h(a) + 2*y(a)?\nAnswer: -3*a**3 - 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**4 - 42*j*p**3 + 646*p**3 wrt j.\nAnswer: 4*j**3 - 42*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -10472297.\nAnswer: -11519526.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 - 1\/6*z**3 + 13\/2*z**2 - 5*z. Let j be t(9). Solve 4*l + 4*o = -0*l, -2*l - j*o = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -13036.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + -0.6. Let n = -0.3 - 0.1. Let j = 0.4 + n. Which is the nearest to 0? (a) j (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) 8 (c) 71 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 10:17 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -533*d**2 - d. Let z be -2 - (-5 - (-2)\/(-2)). Suppose a + 3 = -z*n + 11, -3*a = -2*n + 18. Let t be r(n). What is t rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -592\/2373 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(0 - 3)\/(-3). Let w(y) = 23*y**3 + 2*y**2 - 2*y + 3. Is w(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 933708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 5. Let o be q(-14). Suppose 5*b + 4*c + 8 = 0, 5*c = -3*b + 4*b + o. Let s be ((-10)\/8)\/(1\/b). Solve -v = -0*v + s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 5*l + 0*l)*(0*l + l + 5*l + (-35*l + 18 - 18)*(-1 - 2 + 5)).\nAnswer: -320*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 168796 * -0.47\nAnswer: -79334.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29732 less than 396?\nAnswer: -29336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 4)*(-2*p + 2 - 2)*(24908 + 28923 - 9824 + 32094 - 865) to the form w + b*p and give b.\nAnswer: -300944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24356500 divided by 2435650.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6*2\/(-2) - (1392324\/(-38700) + 30) and -117\/10?\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/234)\/((-3)\/(-198)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1013 + -995. Let a(u) = u**3 - 5*u**2 + u - 1. Let s be a(4). Let o = s + f. Solve -7 = o*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.105376 - 49.1. Round q to 4 dps.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4947280 to the power of 1\/2, to the nearest integer?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 180294953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 - 0.69. Which is the nearest to 0.1? (a) v (b) -1 (c) -23 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 + 8827427*n\/3 + 5884950.\nAnswer: (n + 2)*(n + 8827425)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2024*g**2 + 6121*g**2 - 2041*g**2 - 2050*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**2\/2 - 7*c - 1. Let w be q(-8). Is (0 - -2) + (-21080)\/(-10) + w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 901332 divided by -6.\nAnswer: -150222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 21*u + 1. Let d be j(-1). Let h be (-6)\/(-9) - d\/(-3). Is h equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6552466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18409243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10322123120 + -1?\nAnswer: -10322123121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 0, 3*u + 0*h = -4*h - 24. Let f = -6 - u. Suppose -f*i = 3*i - 90. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/18*(-18)\/(-8). Suppose 0 = -4*s - 2*m + 14, 18 = 5*s + q*m + 1. Suppose 0 = 5*h + 20, -h - 2*h = -s*t + 140412. Round t to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n**2 - 12*n + 12*n)*(-3*n**2 + n**2 + 4*n**2) + n**4 - 3*n**4 + 4*n**4 + 2*n**4 + n**4 - 2*n**4 as k + r*n**2 + j*n + a*n**4 + i*n**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 265*h - 156*h + 0*h**2 - 102*h.\nAnswer: h**2 - 523*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 4. Let o be (1 + -3)*(-22)\/d. Calculate the highest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2767482 + 4?\nAnswer: -2767477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15057 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 12*a + a)*(-8*a**2 + 2*a**2 + a**2)*(-2*a + 2*a + a)*(a - a - 2*a).\nAnswer: -110*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -29, -95, -205, -359?\n\"Answer: -22*r**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -447 - -623. Suppose 0 = 15*f - v + 641. Sort f, -5, -3.\nAnswer: f, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 2*l**2 + l + 9. What is the hundreds digit of q(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88894431 to the nearest one million.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 4*j**2 + 3*j**2 + 20 - 20 + 15*j**2 + (3 - 3 - 2)*(-1 + j**2 + 1).\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 85520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -4*i**3\/3 - 6*i + 1285. Let j(n) = -8*n**2 - 11. Let m be (-2)\/5 + 57\/5. Give m*t(d) - 6*j(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -2\/7 (c) -2\/11 (d) 1\/372 (e) 36183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 2:31 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -f - 4*k + 11, 5*f = -k - 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 2\/11, 3, 41\/2, 4, -0.1?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 33975?\nAnswer: 135900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260452, 520923, 781394, 1041865, 1302336, 1562807?\nAnswer: 1823278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l - 180. Let p be m(-16). Solve 4*h + 68 = p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75314715*g - 18927407 wrt g.\nAnswer: -75314715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 1403730.\nAnswer: 1403730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33277\/8 + 4160. Which is the closest to p? (a) 1\/12 (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 144 + 20 = -5*f, 2*f - 41 = -c. Let w = c + -61. Is 13 a factor of (66\/(-5))\/(6\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(1053).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4826.33 + 5165.\nAnswer: 9991.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/239 (b) 0.05 (c) -5 (d) -7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*j - 2057 = 51*j. What is the remainder when j is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25925 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfevbbbvbb. What is prob of picking 1 f and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-52)\/(-39))\/(2\/3). Let h(t) = 9*t. Determine h(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23920 + -25880. What is p rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 3:08 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 + 14*f**2 - 8*f + 18. What is y(11)?\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**3\/2 - a. Let g(h) be the third derivative of 4*h**2 + 0 + 0*h**3 + 5\/24*h**4 + 0*h. What is g(u(m))?\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-21))\/(97\/((-33950)\/(-20)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*p - 1, 0 + 5 = 4*p - n. Let l(j) = 33*j**2 + j - 2. What is the tens digit of l(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 12. Suppose -13*u + 8 = -18. Factor -j*x - 22 - 6*x**2 + 4*x**u + 0*x**2 + 47*x.\nAnswer: -2*(x - 11)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 4264933.\nAnswer: 4264933.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*sqrt(51)\/sqrt(3) - (5 + (-2 + sqrt(17))*-4).\nAnswer: -4*sqrt(17) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, w: 2}. Give prob of sequence gw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1460047, -1460073, -1460099?\nAnswer: -1460125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 2\/25, -220, 19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 80*h - 1456. Let q be u(52). What is the smallest value in 2\/15, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2428*398.\nAnswer: 1688.6344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2070373?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvvnkjc. What is prob of picking 1 k and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87932\/(-780) - -28) + 85.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*p + 106 = 42, -4*p = 5*u - 167. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66722 or 66720?\nAnswer: 66722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + 2009\/(-21 - 20).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101000010100110001 (base 2) to base 8\nAnswer: -502461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (1 - -14) - (88 + -65).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, 31, 11\/2, -0.9, 2\/25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:02 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30688 divided by 274?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**36\/s)*s**(7\/3))\/(s**(-31)*s\/(s**10\/s*s)) assuming s is positive.\nAnswer: s**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 1391?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -a + 10 + 44, a + 5*u = 46. What is the remainder when a is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*w + 11 = 0, -w + 4*w = 6. Solve 6*y - v = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 13 + 4 + -10 + -26?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(187)*-1)\/sqrt(11))**2 - sqrt(68)\/(sqrt(4) + sqrt(16)*-2).\nAnswer: sqrt(17)\/3 + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -1656914243.347.\nAnswer: -1656914243.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79353, -317418, -714193, -1269678, -1983873?\nAnswer: -2856778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -252 at most as big as -253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:04 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.7324m in kilometers?\nAnswer: 0.6057324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 70412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11561 - -11568. What is the closest to 0 in -1, x, -32, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p - 2*p - 280. Let j be (-5 + 136\/32)\/(3\/p). Solve -j*a + 8 = -5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - v**2 - v - 1. Let z be p(-1). Let k = 7 - 7.2. Which is the second smallest value? (a) z (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/(-80))*128\/(206080\/(-138))?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 + d - 2. Let s(n) = 16*n**2 + 2*n - 3. Give -5*h(i) + 2*s(i).\nAnswer: -8*i**2 - i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63756 and 792?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53836585 to the nearest integer?\nAnswer: 7337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5636)\/(-10) - 3\/5. Let c be -45 - -45 - (394 - 0). Let p = d + c. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 54*g**2. Let h(n) = -8*n**2. What is c(h(l))?\nAnswer: 3456*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y. Let d(b) = -b + 7. Let h be d(5). Suppose -3 = 2*r - 13. Let j(a) = 2*a**h + r - 5. Determine j(g(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 303109, 303110, 303111, 303112?\n\"Answer: v + 303108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 5*f - 3*f)*(179*f**3 - 160*f**3 + 809*f**3) + 2*f**3 + 11*f**4 - 2*f**3 to the form g*f**3 + d*f**2 + r*f + w + c*f**4 and give c.\nAnswer: 2495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355*z + 2129*z - 122120 = 431*z for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 57b45 (base 13) to base 7\nAnswer: 1234523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6\/(-324)) + (97 - 114) + 6.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 8 + 28 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rci when three letters picked without replacement from {r: 6, c: 6, i: 1, h: 6, l: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1776*y - 417*y + 544*y - 2480*y to the form b + h*y and give h.\nAnswer: -4129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 226403183 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167572851.\nAnswer: 3, 71, 157, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 plus 36698?\nAnswer: 36985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4\/3, 195, 2\/7, 0.06, 5 in increasing order.\nAnswer: -4\/3, -0.5, 0.06, 2\/7, 5, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -461.\nAnswer: -3\/461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1)\/y*y)\/y)**(-22)\/(y\/(y**1*y)*y**(-4)*y*y))**(-1) assuming y is positive.\nAnswer: y**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at most 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 6\/11 (b) -1221 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1521.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*p - 29*p - 37*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1051*q + 66771 - 66771 as c + z*q and give z.\nAnswer: 1051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85 - -90) + -91 - -46?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28791 is divided by 1439?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10 = -52*v + 53*v, 0 = -5*v + 2*q - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4\/3 + 2\/3*n**2 + 2\/3*n = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -88?\nAnswer: -13\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324903138 to the nearest integer?\nAnswer: 18025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 232019 divided by -41?\nAnswer: -5659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376.92ns to microseconds.\nAnswer: 0.37692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/20)*f**16)**44 assuming f is positive.\nAnswer: f**(3729\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9375 divided by -49259?\nAnswer: -9375\/49259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -3\/4 (c) 1\/519 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 320 + -4. Let m = -313 + d. Solve -3*f = -3*u + m, 5*f - u - u = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:41 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1417 - -1421. Suppose 5*p - 1 = -d, 4*d - 5*d = p - 1. Let i = 1 - d. Solve -v = x - i, x = b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19114 - 278.83886. Let g = 281 + s. Let t = g + 0.03. Which is the closest to -1\/3? (a) -3\/4 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 284\/2840*2*(-20)\/(-3) + 442\/(-318)?\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -41, -3, -14, -2 in increasing order.\nAnswer: -41, -14, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29812 - 29392 = 15*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**2 + 12*d + 8. Let p(v) = -8*v**2 + 9*v + 6. Let q(t) = -3*k(t) + 4*p(t). Let s(c) = 108*c. Calculate s(q(j)).\nAnswer: -540*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*p - 50*p = 34*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -15*i + 14*i. Which is bigger: i or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159665\/4 - -39712. Let m = l + 4103\/20. Let h = -3461 - -27725\/8. Calculate the common denominator of h and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**8\/616 + 13*k**7\/1155 + k**6\/30 + 3*k**5\/55 + 7*k**4\/132 + k**3\/33 - 13*k**2. Determine r, given that t(r) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (39 - 43) - (-8 - (2 + 9))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 4*k**3 + 0*k**3 + (2*k**2 - 4*k**2 + 0*k**2)*(-8*k - 13*k - 26*k))*(-2*k**2 + 3*k**2 + k**2).\nAnswer: 190*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 10*z + 4. Let l be j(10). Solve -2*g - 4 = l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r + 3*r + 14*r. Let g(c) = -4*c. What is -34*g(p) - 6*n(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 16. Suppose -6*h = -4*h + 4*g - 2, u*h - 24 = g. Solve -2*c - h = 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -4)\/5 - -4. Suppose 5*l = 2*l + 9. Let m = d - l. Which is greater: 1\/2 or m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/8)\/((-3)\/20). Let n be (-11)\/(-13) + 4\/26. Do m and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -971 - 3559. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33881\/6 + -5628. Let u = -9269\/20 - -463. Calculate the common denominator of c and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**6\/480 - m**5\/160 - m**3\/6 - 2*m**2. Let y(z) be the first derivative of h(z). Solve y(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83001.11 nanograms in micrograms?\nAnswer: 83.00111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 - 7*p**2 - 2*p**2 - 130668*p**3.\nAnswer: -130668*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -28*j + 268. What is the remainder when 213 is divided by h(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1519, -6, -5 in increasing order.\nAnswer: -6, -5, 5, 1519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 78*a = -616 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -8*h**5\/55 + h**4\/22 + 8*h**3\/11 - h**2 + 4*h\/11 - 13. Let z(a) = 0. What is a?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 - (-2 - (-6)\/(-4 + 1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 12, 6 in ascending order.\nAnswer: -6, -4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -24.5. Let d = 135 + -677\/5. Let u = 0.06 - 2.06. Which is the nearest to u? (a) d (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 3, n: 1, m: 3, i: 5, e: 1}. Give prob of sequence rn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 14*m**2 + 4*m**2)*(2*m - m**2 - 2*m).\nAnswer: -21*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 4 (c) -0.049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 104975\/(-15030) - (-5 + -9 + 7) and 61\/3340.\nAnswer: 30060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/349728 and -2\/98361.\nAnswer: 3147552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 7*f + 8. Let l be y(3). Suppose 6*a - 2349 = l*a + 4*t, -7019 = -3*a + 5*t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89323549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/39)\/(w*w*w**41*w*w*w)*w**(-20\/9)\/w*w**39 assuming w is positive.\nAnswer: w**(-1202\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 6*f = 150. Calculate the remainder when 199 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 11:31 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1982440 and 281590.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198) + (3*sqrt(198)*6 - sqrt(198)) + sqrt(198))\/((-2*-1*sqrt(132))\/sqrt(12)).\nAnswer: 57*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/140 - 7\/20. Let o be ((-51)\/68)\/(6\/(-20)). What is the fourth biggest value in o, 0.3, -10, z?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 172*x**2 + 5. Let y(m) = -137*m**2 - m - 5. Let t(h) = -4*j(h) - 5*y(h). Let b(p) = 4*p**2 - 7*p**2 - 2*p**2 + 8 + 8*p. Give -5*b(d) + 8*t(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -501765?\nAnswer: 501772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {f: 7, r: 7, n: 2, z: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (24 - -8) - 28.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -65. Let u = 40 - 38. What is the remainder when l is divided by 0\/(-5) - u - -21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -233*h**6\/24 - 931*h**5\/12 - 580*h**4\/3 + 10*h**3\/3 - 10480*h**2. Solve n(t) = 0.\nAnswer: -2, 1\/233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.808 less than -1.13?\nAnswer: -0.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 40031789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. Let i(c) = 9*c - 4. Let n(s) = 6*g(s) + i(s). Let q be n(2). What is the remainder when (3\/q)\/((-3)\/(-30)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1248 by 4.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668035*s - 343200 = 665747*s for s.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1682883*j**3 - 3099088*j**3 + 5286*j**3 - 2966059*j**3.\nAnswer: -4376978*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 553603?\nAnswer: 17161693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/20, 3412, 66, -6\/5?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = -12*i + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66687758047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.831688 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -1) + (2 - 4) + (-18 - -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/7, -212 in descending order.\nAnswer: -2\/7, -4, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -173, -260, -347?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343 (base 16) to base 14.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**5\/7 + 7190*y**4\/7 - 5056318*y**3\/7 + 1441582*y**2 - 5041944*y\/7 = 0. What is y?\nAnswer: 0, 1, 956, 2637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27424075433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(3) - sqrt(336)\/sqrt(7)) + (sqrt(363) - (sqrt(363) - (2 + sqrt(363) + sqrt(363) + 1)))**2*-2.\nAnswer: -2919 - 266*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10130022 (base 5) to base 12.\nAnswer: 40141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 334 + -0.222455775371.\nAnswer: 333.777544224629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 58, 118, 202, 316, 466?\n\"Answer: c**3 + 3*c**2 + 26*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5751950774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 117431982, 117431984, 117431986, 117431988?\n\"Answer: 2*p + 117431980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 - -111. Let r = 4 + i. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9494804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*8\/1260*-5. Let j = 0.12 + 0.08. Which is the second smallest value? (a) j (b) u (c) -0.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**7\/735 - h**6\/84 + 8*h**2 - 2. Factor i(c).\nAnswer: -2*c**3*(c + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.299 rounded to two dps?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1780351 - (-7)\/((-21)\/18). Suppose p - 194345 = -20*s. What is s rounded to the nearest 1000?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 134*p + 5.\nAnswer: 134*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - i - 3*i - 12063 + 12091. Determine s(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2\/5 + 54*n\/5 + 52\/5 = 0.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 31*b**2 - 27*b - 4. What is the remainder when y(15) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 * 11.\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019463 + h**2 + 1019463.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 = 0, -l = 5*x - 6*x - 9. Calculate the least common multiple of l and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/((-30)\/560*-28).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/12 + h**3\/6 + h**2. Let t(i) = -i**2 - 8*i + 3. Let l be t(-8). Determine v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 705856, 705855, 705854, 705853?\nAnswer: 705852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 5*g + 67, 5*g - 4*g = -11867*c + 11610*c - 2321 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1656 divided by -3\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*m + 272, 3*m + 2*m = 4*q - 476. Let i = -76 - m. Calculate the greatest common factor of i and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16969554 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223137945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {v: 5, a: 3, w: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**3\/3 - 6*m. Let c(o) = -9*o. Give c(w(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808 < 2806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271 + -266. Solve -t*i + v - 13 = 0, 0*i - 5*i = -3*v + 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/12)\/((-6)\/(-20)). Sort v, -3, 1 in increasing order.\nAnswer: -3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 583958 * -1.856\nAnswer: -1083826.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5354 - 5?\nAnswer: 5349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*t + 528 = 0, 1095*t - 18 = 1092*t. Calculate the remainder when n is divided by 83.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 22*j + 29. What is b(-4)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541135 to the power of 1\/2, to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2. Let q(h) be the second derivative of h**7\/630 + h**4\/4 + h. Let y(i) be the third derivative of q(i). What is p(y(k))?\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3*2\/(-8))\/(-3))\/(80\/(-80))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 178782620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1392016 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = p + 4, -p + 4*u + 84 = 3*p. Let n = -680 + 689. Suppose -421 = -n*w + 731. Calculate the highest common divisor of w and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 22. Put 0.4, 0.3, s in decreasing order.\nAnswer: s, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7829775 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*o - 539 = 464 + 427 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {p: 5, j: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*u**2 + 3054*u - 23*u**2 - 3056*u)*((2 + 1 - 1)*(0 + 0 - 5) - 1 - 1 + 0)*(4*u - 2*u + u) as v*u**2 + m + b*u + r*u**3 and give r.\nAnswer: 1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2080 and 6368.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 1458005?\nAnswer: 1458004.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -28 (b) 0 (c) 0.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 151, 225?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -9, -0.2588, -6, 2?\nAnswer: -0.2588","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 0 + (47 - (42 - -24)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -11) + (2 - 0) - (-35092)\/(-1132).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333869187 is divided by 55.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 652 - 4a990?\nAnswer: -4a339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92586339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Suppose 4*w - 4*j = a, j - 6*j = -2*w - 3. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from {k: 1, x: 1, z: 2, q: 7, m: 7}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170)*-6)\/(sqrt(490)*6).\nAnswer: 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 5:42 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*y + 1277175 + 3312611 = 0, 0 = -u + 4*y - 2294882. Let i = 18064890 + u. What is i rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, t: 3, m: 5}. What is prob of sequence kk?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/53 and 19\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6974, -6919, -6830, -6707, -6550, -6359, -6134?\n\"Answer: 17*a**2 + 4*a - 6995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -4 - 1*-5. Suppose 15 = r*y + y. Suppose -x - 2*a = -7*a - 9, -y*x - a + 43 = 0. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -81*d - 12886. Calculate b(-155).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 + 22 = 0. Suppose 2*f + 8 = -4*d + 5*d, d = f + r. Find the second derivative of -2*k + d*k**3 - 18*k**3 + 0*k**3 wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k - 14240*k**3 - k**2 + 2*k**2 + 0*k - 228259*k**3. Let h be a(2). What is h rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -710, -1428, -2158, -2900, -3654?\nAnswer: -4420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 39769290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1556889 by 518963.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(35 - 35 - j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 41. Give y(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) -29 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9889?\nAnswer: 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by -71.\nAnswer: 77\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -454 + 354324?\nAnswer: 353540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/12 - a**3\/2 + 45*a**2 - 31*a. Let q be v(0). What is the greatest common divisor of q and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110 + 101010101011?\nAnswer: 101100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 + -89. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/((-7)\/(31 - 3)). Let x be w\/(-52) - 3\/12*0. Is x < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*h**2*z + 1478*h**2 + 41*h*z + h - 193*z - 2 wrt h?\nAnswer: -30*z + 2956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 - 49*o - 22. Let c be t(-24). What is the second derivative of -32*k + 63*k + 15*k + 120*k**c wrt k?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/2 of a decade?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gih when three letters picked without replacement from iiihiigii.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -435 - -435 - (1 - -13)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86058 is divided by 678?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f + 66*f + 10 - 4*f - 43*f - f**2. Calculate u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-3) - (71 - 81).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1315686, 1315700, 1315714, 1315728?\n\"Answer: 14*d + 1315672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -902 - -333.1?\nAnswer: -568.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/4)\/(194\/388*1\/12)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 1271804372?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 63*z. Let u(q) = 1304837*q. Calculate u(k(m)).\nAnswer: 82204731*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14366610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (24\/90)\/(((-24)\/5)\/(-2))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5693 is divided by 637.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/307638 and 1\/512730.\nAnswer: 1538190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/79, -5, -3\/19?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 0 + 1\/20*y**5 + 2\/3*y**3 - 1\/2*y**4 + 0*y**2 + 6*y. Calculate o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:21 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -213123132013 (base 4) to base 2\nAnswer: -100111011011011110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20515 is divided by 76.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.082513628 - 363.082175628. Let a = -363 - r. Round a to 5 dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 43 = -0*d. Let z = 2 + d. What is the remainder when z is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -14*d + 40\/3*d**4 + 0 - 7\/5*d**5 + 28*d**2 + 122\/3*d**3. Factor i(p).\nAnswer: -4*(p - 7)*(p + 1)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -72*o. Let k(a) = a**2. Calculate k(y(d)).\nAnswer: 5184*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 13, -0.4, -135\/43?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(425)*-2)**2 + 1*(sqrt(425) + sqrt(425)*-2) - (sqrt(425)*2*3 - ((sqrt(425) - sqrt(425)*-2) + 1))**2)*6.\nAnswer: 150*sqrt(17) + 17844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*u + 21. Suppose -6*q - 9 = -27. Suppose -u*d + 12*d - q = 0. Calculate the lowest common multiple of d and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - d - 24 = 0, 26 = 2*y - 11*d + 7*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3914688 or -3914695?\nAnswer: -3914695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*c*x**4 - 24*c*x - 60*c - 42*x**4 + 2*x**2 wrt x.\nAnswer: -144*c*x - 1008*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w + 0*w)*(-113 - 38 + 40)*(-1 - 1 + 4 + 2 - 6 + 3 + (1 - 6 + 3)*(4 - 3 + 1) + 0 - 3 + 1).\nAnswer: 2775*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irerreerirefarr. Give prob of sequence ire.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 8:19 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -2\/69, 6, 2.9, 13\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - 2. Let x(i) = -2*i - 35. Let f be x(b). Does 14 divide (-2)\/f - ((-1753)\/9 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 458, 918, 1376, 1832?\n\"Answer: -p**2 + 463*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6170667?\nAnswer: 3, 179, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1247*5268\nAnswer: -656.9196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348 and 49?\nAnswer: 17052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1967573?\nAnswer: 163, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-1)\/(-1)*-1. Let h(a) = -9 - 7*a**l + a**2 + 9. Let r(b) = 2*b - 2. Let q(y) = y**2 + y - 1. Let z(o) = -2*q(o) + r(o). Determine z(h(f)).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u. Let w(n) be the second derivative of 0*n**2 + 33*n + 11\/3*n**3 + 0. Determine s(w(q)).\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 5 + -3)\/(-1). Let d be 5 + u - (4 - 1). What is the first derivative of -7*x - 5 - d*x + 0*x + 3*x wrt x?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1522.33 * 12.\nAnswer: 18267.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 17 = 0, -1535*p - 43 = 4*d - 1532*p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -1389361.22.\nAnswer: -1389361.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -38. Which is the closest to m? (a) -4 (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h**3*q - 3*h**3 - 4*h**2*q - 4*h**2 + 10*h*q + 18*h + 5*q + 2 wrt h?\nAnswer: 24*h*q - 18*h - 8*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9720 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -281, 713 in descending order.\nAnswer: 713, -2\/13, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4488 divide 409031832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12168 - 47*j + 2149 - 95358 + 99*j - 54*j.\nAnswer: -2*j - 81041","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -433130 rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aaaaaaaaaaaaaaaaka?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 4\/7, 45.2, -0.1, -0.2?\nAnswer: 45.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/4)\/(54\/(-4)))\/(559615\/335769)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4443831*h**4 - 5434*h**2 + 5*h + 1?\nAnswer: -106651944*h","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, r: 3, h: 4}. Give prob of picking 1 d, 2 h, and 1 r.\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 181*b**2 - 88*b**2 - 88*b**2. Let a(r) = 12*r**2. Let w(n) = -n**2. Suppose 3 = -0*d - d. Let i(h) = d*w(h) - a(h). Give p(i(x)).\nAnswer: 405*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2256799 - 11*a**2 - 2256799.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by (-128 - 2)*3\/(-6).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/8, -4, 0.088, 104?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3811326, 3811325, 3811322, 3811317, 3811310?\n\"Answer: -j**2 + 2*j + 3811325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15807 = -16*h + 16063. Solve -h*r - 16 = 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 23*c - 65. Let z be u(18). Let m = 169 - z. Factor m*i + 2\/5*i**3 + 2\/5*i**2 + 0.\nAnswer: 2*i**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81866?\nAnswer: 2, 40933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(6\/(-10) + 17\/20). Suppose 0 = 17*p - y*p. Which is smaller: 13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 4 - sqrt(180))*-3 - sqrt(180) - (sqrt(180) + 2 + sqrt(180) + 1))**2 + -2.\nAnswer: 540*sqrt(5) + 1843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u + 38. Let d(a) = -3*a - 19. What is -7*d(t) - 4*y(t)?\nAnswer: t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50063 by -5.\nAnswer: -50063\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11968057*d**2 - 21016499?\nAnswer: 23936114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - -110.\nAnswer: 110.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000106649 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 20*u - 250. What is the smallest common multiple of z(13) and 5208?\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 12*b - 12. Let u(n) = 2*n**2 + 24*n + 24. Let o(j) = -11*a(j) - 6*u(j). Let i be o(-9). Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 - 87\/(-12). Let p(q) = -3*q. Let z be p(-1). Suppose 0 = -4*j - 5*a - 3, z*a = 3*j - 25 + n. Sort -1, j, -2.\nAnswer: -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 4*i + 3*a, -2*a = -i + 6 + 7. Let t = 27 - i. Suppose -5*l + 15 = -4*v, -t*v - 3*l + 9 = v. Solve 4*b + 0*b - 16 = v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.4, -2, -0.045, -8.757?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5157 - 0?\nAnswer: -5157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4707, 3296, 6?\nAnswer: 3296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 118\/(-4) - 18\/12. Let u = h + 61. Solve 0 = -5*a - d - u, -5*a = -4*a - 3*d - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 7*d + 6. Let l be p(6). Let b(m) = 0*m - 4*m + l*m + 10 + 6*m. Is b(8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-347*b - 282538 + 282538)*(2 - 2 + 1)*(0 - 3*b + b - 2).\nAnswer: 694*b**2 + 694*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:33 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 - -103 - (0 + 4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**9\/13608 + u**7\/3780 + 2*u**3\/3 - 3. Let d(j) be the third derivative of r(j). Factor d(w).\nAnswer: -2*w**3*(w - 1)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.87884 rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 145720020 divided by -4\nAnswer: -36430005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:25 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 2*n + 6*n - 45.\nAnswer: 2*n - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*b - 81, -81 = -h - 0*h + 5*b. Let p = -48 + h. Calculate the remainder when p is divided by ((-12)\/4)\/((-2)\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 3*q - 5. Let b be (-6)\/(-2) - (15\/5 - 5). Let m be y(b). Solve -5*h - 3 = -w, 2*h - 2*w = m - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 2, i: 2, w: 1, n: 1}. What is prob of picking 1 w and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5610 divided by -187\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by -21\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-18)*66\/4. Solve -4*z - 2*d + 14 = 0, 2*z + 0*d = 3*d + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.3, 2\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a - 26. Let c(g) = 17*g + 39. Let v(k) = 5*c(k) + 7*l(k). Differentiate v(w) with respect to w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 402 + 546 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -19*c**2. Let b(x) = -x + 5. Let m(z) = -2. Let g(k) = 2*b(k) + 5*m(k). Give f(g(i)).\nAnswer: -76*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.0103, -9662 in decreasing order.\nAnswer: -0.0103, -1\/2, -9662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 26069176\nAnswer: -26069176.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/17900 and -43\/522680.\nAnswer: 2613400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1535930848)\/943)\/(-32) + 2\/(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 2, a: 1, e: 2, q: 1}. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8086943+430099.52\nAnswer: 8517042.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 15 = -2*p, -2*p - 2*u = -6*p - 10. Let n(y) = -y**3 + 2*y**2 + 35 - 7 - y**2 + y. Does 12 divide n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-9435)\/74)\/(6\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4876 smaller than 4824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 51 (b) -0.5 (c) -5 (d) 20.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 311*u**2 - 463*u + 154.\nAnswer: -(u - 154)*(u - 1)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - g = -4, 0 = -2*k + 5*k - 2*g + 11. Which is the second smallest value? (a) 1 (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110363475?\nAnswer: 3, 5, 1471513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57*g**3*y**2 - g*y**2 - 71*g - 4*y**2 - 6*y - 11 wrt g?\nAnswer: 171*g**2*y**2 - y**2 - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6651701326 and 38?\nAnswer: 6651701288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 - (9 + -6 - 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.34 less than -1741360779?\nAnswer: -1741360776.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o**2 + o - 3. Let j be c(3). Let r = j + 163. Suppose 4*y = -3*x + r, 97 = -0*y + 5*y + x. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 54*h**2 - 39*h. Let g(a) = 11*a**2 - 8*a. Let j(z) = 24*g(z) - 5*r(z). Let q(v) = 5*v**2 - 2*v. Give 2*j(b) + 3*q(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10760340 or 10760341?\nAnswer: 10760341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -526.78 - -218.78. Sort -3, w, -5\/4 in decreasing order.\nAnswer: -5\/4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -464*o - 2328. Calculate u(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t + 30. Let m be x(-5). Let f = 7 - 0. Solve -3*h = v - 11, -m*h - 2*v + 6*v + f = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**42\/o)\/o**(-36)*((o\/o**(-1\/7))\/o)\/(o**38*o))**(-1\/2) assuming o is positive.\nAnswer: o**(-267\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-3))\/((-34)\/238*-21).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192477?\nAnswer: 3, 83, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(-7 + 2 + 1)*(-40*a + 14*a**5 + 40*a).\nAnswer: 56*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 4*t**3 - 3*t**3)*(-10*t**2 - 37*t**2 - 27*t**2).\nAnswer: 74*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 106364*l - 957114.\nAnswer: -2*(l - 53173)*(l - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 521*j - 554*j - 572 - 154 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*v - 6, -4*t - 5*v = -3*t - 28. Calculate the common denominator of ((-26)\/(-124))\/(-5*t\/(-15)) and 95\/4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 + (-25)\/(-2))*(-4)\/(-7). Let p(m) = -b*m**2 + 3*m**2 - 2*m**2 + 2 - 4*m**3 + 3*m**3. Give p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2768*l - 2769*l. Let v be l*28\/(-12) - -6. Is v less than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -828079 or -147?\nAnswer: -828079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyi when three letters picked without replacement from yiiiiyyyyiiy.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*b - 11, -236*y + 320 = -207*y - b for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9030 + 9034. Solve 4\/17*c + 0*c**2 + 2\/17*c**f - 2\/17 - 4\/17*c**3 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -506137*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/20)\/(54\/16 + -1). Let i = 3 + 0.5. Let z = i - 4. Sort g, -1, z.\nAnswer: -1, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343 - 5138*z + 10274*z - 19*z**2 - 5138*z.\nAnswer: -19*z**2 - 2*z - 343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 0.1736624.\nAnswer: 3.1736624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 365, 750, 1289, 1982, 2829?\nAnswer: 3830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8378 and 22?\nAnswer: 92158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 at least as big as 781\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (219 - 225 - (14 + -2))\/((-3)\/4) - 4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -219286*o**4 + o**3 + 1918432*o?\nAnswer: -2631432*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4780)\/(-2868))\/((-2*3\/126)\/1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**3 - 4*s - 9. Suppose -4*h - 16 = 3*k + 35, 0 = 5*h - 3*k + 30. Let v(x) = -2*x**3 + x + 2. What is h*v(m) - 2*d(m)?\nAnswer: 2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-114)\/(-22) + 0 + 40\/(-220). Suppose 155 = j - b, -g*b + 412 = 2*j + 102. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12803035429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38*n**4*t + 2*n**2*y - 780*n*t*y + 2*t*y - 15*t + 298*y + 1 wrt n?\nAnswer: -152*n**3*t + 4*n*y - 780*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42396480 and 2052.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -286 + 151 - z + 3*z as t*z + p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/6 + 2*n**3\/3 + n**2 - 3667*n. Let a = 5 - -9. Let z = a - 10. Calculate i(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, 4.\nAnswer: -21, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 1839370\nAnswer: -21\/919685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 55*b**2 - 52*b - 2. Let a(j) = 25*j**2 - 25*j - 1. Let h(t) = 13*a(t) - 6*f(t). What is h(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - 11) - (0 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (2 - -12) + -14 + 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -22\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1\/920, 2\/13, 2\/3 in ascending order.\nAnswer: -1\/920, 2\/13, 2\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 34*s + 13. Determine q(14).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8 and -61\/1154?\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 203434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 4, -158 in decreasing order.\nAnswer: 4, -4, -8, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 44\/3*s**3 + 0 + 0*s + 7\/12*s**4 - 1\/30*s**5 - 289*s**2. Factor j(l).\nAnswer: -2*(l - 11)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + sqrt(432) + -2)**2 + (sqrt(432)*2)**2 + -2 - ((0 + -2*sqrt(432) - sqrt(432))**2 + sqrt(432) + (sqrt(432) + 0 + 1)**2)).\nAnswer: -8636 - 336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141515917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.8, -3, -7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 330 - 285. Calculate the greatest common factor of 60 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222554201.\nAnswer: 3, 11, 17, 2179241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 162 in -3\/5, -0.13, 0.22, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 > 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -648 + 1034. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + x - 3. Let w be u(3). What is the tens digit of 579\/w - 2\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 31*j**2 + 83*j - 68. Determine c(28).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -16. Let y(d) = 3*d. Let a(b) = -7*b + 1. Let i(l) = 2*a(l) + 5*y(l). Calculate i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + g + 7*g)*(-g**2 + g**2 - 2*g**2 + 2 - 2 - 2*g**2 + (7 - 7 + 5*g)*(-4*g + 4*g - 3*g)) in the form h*g**3 + k*g**2 + i + q*g and give h.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.021485 or 1658?\nAnswer: 0.021485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/9 - 1076\/18. Let t be 1 - (1 - 433401\/a). Let h = -7226 - t. Calculate the common denominator of h and 37\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*t**5 - 3*t**3 - 5*t**2 + 6048*t.\nAnswer: 1380*t**3 - 18*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 2 (b) 2\/11 (c) 0.25 (d) -0.0466 (e) -1\/7 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - ((-24)\/20)\/(1\/5). Suppose -4930 = -3*v + d*a + a, -4*v = 5*a - 6585. Suppose -y = 3*n - 4968, -v = 2*n - 3*n - 4*y. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38283 and 24?\nAnswer: -9.18792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34440536 by -13.\nAnswer: 2649272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, -3\/10, -13\/696?\nAnswer: -13\/696","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63752?\nAnswer: 2, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 86*k**2 + 320*k - 312.\nAnswer: 2*(k - 39)*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:06 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2304)*-2 + sqrt(2304))\/sqrt(12).\nAnswer: -8*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/7 (b) -0.4 (c) -1\/4 (d) 1\/6 (e) -16.385\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -217591 take away -1516034?\nAnswer: 1298443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 532 - 132. Suppose 0*p - 124 = -3*p - 2*k, 5*p + 5*k - 210 = 0. What is the greatest common divisor of p and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 248949 and 1242.3.\nAnswer: 250191.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025 = 2*v - 3*v - 2*x, -5*v - 4*x + 5113 = 0. What is v rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**4 - 24*m**3 - 80*m**2 - 3*m - 10945?\nAnswer: 36*m**2 - 144*m - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17600232*d = 17600135*d + 5529 for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -255 + 261.95. Let s = y - 0.55. Let u = s - 6. Put 3\/7, u, -2\/3 in increasing order.\nAnswer: -2\/3, u, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0415 + 0.1585. Sort -5, y, 2\/5, -173 in descending order.\nAnswer: 2\/5, y, -5, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 5*v. Let r(h) = 2*h. Let f = -127 + 117. Calculate f*r(a) - 4*d(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123755.\nAnswer: 5, 53, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p**(2\/5))\/(p**(-6)*(p\/p**0)\/p) assuming p is positive.\nAnswer: p**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/6451420 and -73\/5161136.\nAnswer: 25805680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-1190))\/((-9)\/28*-8)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**6\/120 - 7*n**5\/60 - n**4\/12 - 5*n**3\/3 - 4*n**2. Let g be j(-7). Which is the closest to -2\/7? (a) 2 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/588 and -29\/882?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*f*k**2*p*v + 14*f*k**2*v - f*k - 4*f - 2*k**2*p + 2*k**2 - 37*k*p*v + k*p + 2*k*v - 2 wrt k?\nAnswer: -22*f*p*v + 28*f*v - 4*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 31cd8?\nAnswer: 31cdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -5 + 4 + 1*sqrt(108))**2 + 1)*2.\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133.8 or -252?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3875 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, j: 2, u: 1, r: 2, a: 8}. What is prob of picking 1 u, 1 m, and 1 a?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f - 60. Suppose 3*k + 0*z = -z - 46, 0 = -4*k - 4*z - 64. Is 13 a factor of f\/k*42 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21414829 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: Four letters picked without replacement from yvnccnvvycvyjvvjcvv. Give prob of sequence yycn.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 3532192.\nAnswer: 35321920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjw when four letters picked without replacement from {j: 6, d: 2, w: 2, e: 5, p: 3}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 9*j - 40. Let m be 3 + 0 - (-3 + j). Let o(a) = -2*a. Determine o(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 40289 from 25.\nAnswer: -40264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/47, -2.\nAnswer: -2, -2\/47, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*u + 28806 = 0, 4*r = 4*u + 10561 + 18243. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6931 and 1102.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8752, 4\/9, 0 in decreasing order.\nAnswer: 4\/9, 0, -8752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6445*z + 101*z + 12280*z + 3015*z to l*z + t and give l.\nAnswer: 21841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 470 = -300. Calculate the remainder when m\/(-3)*(-18)\/(-12) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 3*n**2 - 3*n - 1. Let p(b) = 3*b**3 + 6*b**2 + 5*b + 1. Suppose -14 - 16 = 10*c. Determine c*p(y) - 5*t(y).\nAnswer: y**3 - 3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 58*j**2 - 1484*j - 13752. What is v(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.83545071 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 375329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 164, 332, 500, 668?\n\"Answer: 168*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588081.7l to millilitres.\nAnswer: 588081700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277\/763162 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 - 2.06\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 9056?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 57 times 0.05\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10363012?\nAnswer: 2, 11, 235523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m + 8 = 0. Let a = -2 - m. Which is bigger: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 5*n + 2. Let b(f) = -7*f**2 - 11*f - 4. Let l(p) = -7*p**2 - 11*p - 4. Let w(t) = 5*b(t) - 4*l(t). Let r(h) = 5*a(h) + 2*w(h). Factor r(v).\nAnswer: (v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 57. Let l = 33 - m. Suppose -4*a - 5*t - l = -40, 2*a = -4*t + 16. Let j(z) = 2*z - 4. What is j(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 378000844.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1044 is divided by 486.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26\/717 - 71\/239. What is the third smallest value in 16\/3, q, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(3)*1*-6 + sqrt(3)) + -2 - ((6*1*sqrt(363))**2 + 5).\nAnswer: -13075 - sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - -30)*(-1 - 9\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24816 and 9024.\nAnswer: 99264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.3 + -9. Let q = v + -3. Suppose 0 = 2*i - 3*i - 3. Put q, -7, i in descending order.\nAnswer: q, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a year?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*w = -107*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 14 = -v, 3*v - 5*x - 82 = 6*v. Let n = v - -66. Solve -2*o + 22 = 4*s, 3*s = -2*s - 4*o + n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.17754453 + 0.03279643. Let o = f - -0.0448101. Let a = o + 1.1. Round a to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 365*b**5 - 2545*b**4 - 12*b**2 + 16*b - 6735.\nAnswer: 21900*b**2 - 61080*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:47 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.207987 less than -4.6?\nAnswer: -2.392013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 17*s**2 + 269*s + 30. Give h(27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -134?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -102\/5, 3, 4?\nAnswer: -102\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 739 + -694. What is the least common multiple of 60 and d?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**5\/3 - 16*x**4\/3 + 188*x**3 + 46*x**2\/3 - 1715*x\/3 + 374 = 0. Calculate x.\nAnswer: -33, -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165.2 - -45.2. Let b = m - -120.3. Which is bigger: 27 or b?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33821 (base 9) to base 4.\nAnswer: -11200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 197*x + 98. Give y(28).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12169180 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4467*f - 26832. Calculate h(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14358 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -665*n - 33. Let r be p(-5). Suppose -5*f + 3*f + 1646 = -3*x, -5*x = -4*f + r. Suppose -2*w + 555 = -f. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354 is divided by 770.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66118*h + 33051*h + 33064*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-12)*342\/456. Which is smaller: b or -2\/9361?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2549 + -1068. Let i = -10 + t. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 44 - 27*f**3 - 99 + 2*f - f - 63*f**3 - 2*f**2 in the form j*f + r*f**3 + h*f**2 + s and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8514 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + 0.35. What is d rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37935 + -1348?\nAnswer: -39283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94339 + 94342 + 94313 - 3*f - 282991.\nAnswer: -3*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 - -99. Find the second derivative of 18 - 39*p**2 + 3*p**4 - z*p - 10 + 28*p**2 wrt p.\nAnswer: 36*p**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 763, 1508, 2239, 2950, 3635, 4288, 4903, 5474?\nAnswer: 5995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*x - 5900 + 5985 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -303 + 2560. Suppose p = 1, 4*v + 0*p + p = h. Let d = v - 378. Does 46 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - 27)\/(1 - (-5)\/(-4)). Find the first derivative of -5 - v + 27 + 13 - 28*b**4 wrt b.\nAnswer: -112*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/6 - t**3\/2 - 2*t**2 + 2*t. Let b = -24 + 27. What is the units digit of s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1326*i = -1329*i - 4*x - 80, -4*i + x + 39 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 3. Let n be f(-3). Suppose n = -4*w + 21 - 9. Solve w*a - 2*a - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-25)*((-2583)\/441)\/41.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1136\/(-3195))\/(6\/(-5))*(-39)\/(-104)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m)\/m**(4\/7)*m**(3\/10)*m**(-1\/2)*((m\/m**(-1))**(2\/37))**(-2\/21) assuming m is positive.\nAnswer: m**(-18577\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 11 - (5 - 2)) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2. Let t(y) be the first derivative of -3*y**2\/2 + 13. What is t(i(o))?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*s + 2, -4*s = -5*y - 2836. Let i = -338 - y. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Let d(c) = -2*c**3 - 5*c**2 - 3*c + 2. Let i be d(-2). Let n(j) = i*j + 5*j - 2*j. Give a(n(x)).\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019*g + 10 = 1014*g + 3*i, -3*g = -3*i + 3 - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-2 + (-168)\/(-78)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -11. Let v be -2 + (-1)\/j + 1. Suppose v = -4*s - h + 23, 1 = -s - 2*h - 2. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (63\/6)\/(30\/4120)?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 8.5?\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 33 = 2*o. Let k = o - 5. Solve 2*w - u = 2*u - 19, -k = 2*w - u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 6*t + 97. Let v be l(9). Suppose -2*q - 12 = 4*n + 14, -5*q - 3*n - 30 = 0. Sort v, q, -1.\nAnswer: v, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35562\/112613)\/((-1)\/2*9)?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 536 to the nearest 10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 4*d - 10, 5 + 6 = d + 5*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7423 (base 12) to base 7\nAnswer: 52011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 2, -240, 0 in increasing order.\nAnswer: -240, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2. Let p(w) = -9071*w. Determine p(d(f)).\nAnswer: -9071*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675898133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1646, -7527, -17288, -30929?\nAnswer: -48450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 5. Suppose 0 = -2*d - 5*u - 12, 50 = -2*d - 2*d + 3*u. Suppose 3*o + 4*r = 20, -o - 3*r - 14 = -6*o. Let z = d + o. What is x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*p - 51 = 0, 4*p + 0*p = 2*p + 59 - 65 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/7 + 32*r**3\/7.\nAnswer: 2*r**3*(r + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -53a977?\nAnswer: 53a97e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -0.1811\nAnswer: 1.0866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 62) + -62 + 82.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2, 0, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36*(3 + -2)*1. Let v be g\/8 - (-1)\/2. Calculate the remainder when v\/10 - (-43)\/2 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 1 f when three letters picked without replacement from {n: 7, y: 4, f: 6}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291886181?\nAnswer: 3779, 77239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*v - 4057 + 3408, -220 = -u + 3*v. What is the least common multiple of 62 and u?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i = -38966 - 1606. What is the smallest common multiple of i and 112?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -75, -116, -159, -204?\n\"Answer: -l**2 - 36*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 56829 and 71?\nAnswer: 56758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13328 = -15*k - 2*k. Is 44 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5196*x + 5318*x - 10010*x + 504 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 17 + -6 + -44.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdnpnfppnnpfnf. Give prob of sequence fn.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*h + 29 = 0, -h - 23 = -3*k - 0*h. Solve -4*r - 6 = 2*j, k*r - 4*r - 2*j + 15 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, -77, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5940 and 405.\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 1, a: 1, z: 2, g: 1}. What is prob of picking 1 z and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3597863 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**2 - 7*b + 132. Let t(d) = 3*d**2 - 2*d + 44. Determine 2*s(k) - 7*t(k).\nAnswer: -3*k**2 - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*g + g. Let q = -11.37 - 357.83. Let i = -369 - q. Sort g, 0, i.\nAnswer: g, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 25. Let p be ((-197180)\/(-36595) - u) + -2. Let v = -2\/563 + p. Is -1 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.917 - 0.083. Let w = -80 + 80.28. Which is the nearest to w? (a) 0.4 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/9 + 197\/99. Let r = 0.01 + 0.39. Which is the second smallest value? (a) r (b) q (c) 5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + (-8 - -19) + -18 + -17.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t**2 + 15*t - 8. Let m be u(-5). Let o(a) = 136*a + m*a - 273*a. Let b(s) = -3*s + s - 2*s. Determine b(o(i)).\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/211 + 2329\/844. What is the nearest to r in -3, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1382 - 235.8618. What is the second smallest value in y, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22658 take away 0.18?\nAnswer: -22658.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 3605 + 17143 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2. Let x(j) = 4*j**2 - 14429*j. What is x(m(l))?\nAnswer: 16*l**4 + 28858*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 23*g - 61. Let v be k(6). Suppose 55 = 5*l - v*a, -2*a - 6 - 3 = -l. Solve c + l + 17 = 5*y, -y = -c - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 + 79. Solve 0 = 2*h - q*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 1 + 56. Suppose 3*b - i = 4. Suppose -4*u - 4 = 5*k, 5*u = -2*k + 3*u - 2. Sort b, -5, k in increasing order.\nAnswer: -5, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**4\/2 - 408*n**3 - 17871*n**2\/2 + 80481*n - 71136 = 0.\nAnswer: -247, -32, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 5*c = c - 42 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 6)*(-3*w + 0*w + 0*w)*(2*w**2 - 3*w**2 - w**2) as f*w + p*w**3 + n + i*w**2 and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2505231 minus 83979?\nAnswer: -2589210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 4*q - 2. Let x be w(2). Suppose -7*y - 101 = -x. Which is bigger: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/120 and 67\/296230.\nAnswer: 3554760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872609977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 7. Let x be j(5). Suppose x*i + 2*d - 261 = -d, -3*i + 5*d + 301 = 0. Calculate the highest common factor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 20 = 4*z - 0*r, 0 = 4*z - 4*r + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0.5, 0, -0.11.\nAnswer: -1, -0.11, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8583*w**2 + 7971*w**2 - 4193*w**2.\nAnswer: -4805*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102007 is divided by 33951?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 34560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agyt when four letters picked without replacement from tggggaaty?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -113. Let k be m + 13 - 42\/9. Let u(y) = y**2 - 11*y + 7. Let i be u(11). Which is the nearest to 0.1? (a) 0.4 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 13*b**2 - 15*b + 3. Let n be w(-14). Let q(i) = -17*i + 50993*i**2 + 1 - 5 - 50992*i**2. Determine q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961345 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331132 (base 4) in base 13?\nAnswer: -569a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)*k)**(2\/99))**(-3\/23)\/((k**0)**(-2\/57)\/(k**(1\/2))**(1\/22)) assuming k is positive.\nAnswer: k**(59\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2143 - -2197. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/4037 and -1\/3?\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 149 - 149 + 6*c**4 - 17*c**4 - c**4 + 31*c**4 + (-3*c**3 + c**3 + 0*c**3)*(-3*c + 3*c - 2*c) - c**4 + 0*c**4 + 2*c**4 - 2*c**4 - 2 + 2.\nAnswer: 22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-1660)\/(-4908) - (-1)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 8*n**2 - 1. Let z be y(8). Let g = 34.1 + -34. What is the nearest to -0.1 in -3, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-14))\/((57\/(-21))\/(-19))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10593 + -10592. Sort 4, m, -4, -43 in descending order.\nAnswer: 4, m, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -5*b**8\/168 + b**7\/210 + 19*b**5\/6 + b**4\/4 - 378*b**2 - 2*b. Find the third derivative of n(l) wrt l.\nAnswer: -600*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6575 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 22. Suppose 5*i - 2 = i - u, -3*i - 4*u - 5 = 0. Let g(j) = 11*j**2 + 2*j - 1. Calculate the lowest common multiple of l and g(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19188, 38085, 56982, 75879, 94776, 113673?\n\"Answer: 18897*z + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141 * -4.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10818673 and 949.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91568950 a multiple of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q**2 - q. Let n(c) = -68*c**2. Calculate u(n(p)).\nAnswer: 46240*p**4 + 68*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 343 + -134. Let q = -144 + s. Let x = -45 + q. Which is bigger: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9765 and 0.1.\nAnswer: -9764.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ndddndnnnu. Give prob of sequence nnu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0) + 2 + -4 - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-6) + 49852\/29964. Let d = 8419\/6810 + x. Find the common denominator of -113\/40 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*l - 11, l - 11 = -3*u + u. Let q = 2 + 1. Suppose d = h + q + u, 5*h + 6 = -d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*o + 16476583 = 83*o - 48064982. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 + 1.15. Let b = f + -2. Is -2\/5 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 45. Does 40 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, j: 3, l: 6, w: 2}. Give prob of sequence jlll.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/438 and 61\/26280?\nAnswer: 26280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 96.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 9) to base 11.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a hour in minutes?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 5*c**4\/3 + 25*c**2\/2 + 17*c. Let o(n) = -5*n**2 - 6. Give -25*o(y) - 6*v(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32829 = -148*v + 298220 - 10481. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + w**2 - 4*w**2)*(w + 0*w + 3*w) + (1 - 1 - w)*(-w - 2 + 2)*(w - 3*w - 3*w) + 45*w**3 + 18*w**2 - 18*w**2.\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5386, 5382, 5368, 5338, 5286?\n\"Answer: -n**3 + n**2 + 5386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 17036*z + 99. Is s(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427078 is divided by 427071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4 - 25*w + 28*w - 3. Let z be h(2). Let t(k) = 7*k**2 - 3*k + 4. Let d(o) = -o**2 + o - 1. Let j(a) = z*t(a) - 6*d(a). Calculate j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 8*a + 2. Let o(r) = r. Let j(k) = 5*o(k) - t(k). Let w be j(-2). Suppose w = 10*b - 15*b + 10. Solve -3*i - d = 15, 3*i - b*d + 9 = -d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 36*d + 2. Calculate b(-34).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 8*l**2 + 13*l + 4. Calculate d(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luuuululuuuu. What is prob of picking 2 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162295 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 612\/(-5355) + 18510\/(-350).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -66 - 1702217?\nAnswer: -1702305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8611009873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-220)\/(-77))\/(-20) - 10\/(-21)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115\/3 + -811\/21. Calculate the common denominator of 2\/(-7) + 2\/(-140) and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2847 + 2848. Put 2, i, -1 in descending order.\nAnswer: 2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88772367*i**3*m**3 + 9*i**3*m + 9*i**3 - 3*i**2*m + 4*i*m**3 - 52869*i wrt m?\nAnswer: -532634202*i**3*m + 24*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2101\/264 - 3\/(-18).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/(14\/21)*-8. Solve 3*z = p + 1, 1 + 3 = -j*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*l + 8 = 142*l - 5*j, 0 = -3*j - 6. Which is the closest to l? (a) 0.3 (b) -0.304 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 2*c + 2. Let p be a(-2). Solve p*b + 13 = 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 17. Put -5, h, 4, 3 in ascending order.\nAnswer: -5, 3, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:03 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 16576*o + 1938. Calculate y(0).\nAnswer: 1938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 3*m**2 - 4*m**2)*(4 - 2 - 1) + (2*m - 3*m + 3*m)*(19*m + 19*m - 5*m).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*-132734.39\nAnswer: -265468.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 12:41 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, k: 2, l: 1, y: 9}. What is prob of sequence khy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*y - 8*y + 4*r, 2*y + 5*r = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110 - 110001100101110?\nAnswer: -110001111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 1480*f**2\/9 - 21064*f\/9 + 12064\/3.\nAnswer: 2*(f - 12)*(f - 2)*(f + 754)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 62*a - 4. Let v(x) = -7*x + 3. What is k(c) - 5*v(c)?\nAnswer: 97*c - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:10 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -16*m + 140. Suppose 0*w + w - 3*j - 31 = 0, -2*w = -2*j - 58. What is the highest common factor of m and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -4*t**6\/15 + t**3\/2 + 6*t. Find the second derivative of c(q) wrt q.\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 121292220 a multiple of 4151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63001369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -8. Let h(a) be the second derivative of -a**5\/20 - 7*a**4\/12 - a**3 + 3*a**2 + 22*a + 1. What is h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxxylsxxkllxyx. Give prob of picking 3 y.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**4 + 3*c**4 - c**4)*(-13 + 22 - 10) + (-3*c + 0*c + 4*c)*(-c**3 - 3 + 3) to the form n*c**2 + t + u*c + f*c**4 + x*c**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -901*a**2 - 20*a**3 - 902*a**2 - 69*a**3 + 1803*a**2.\nAnswer: -89*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1 + 3*sqrt(68))**2 + (sqrt(17) - 1*sqrt(153)) + (sqrt(17) - (sqrt(136)*2)\/sqrt(8) - sqrt(17))**2).\nAnswer: -70*sqrt(17) + 3405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/117669 and 81\/3686962.\nAnswer: 11060886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crcm when four letters picked without replacement from {c: 6, r: 6, m: 7}?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 0 = 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 192807 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: Let p(k) = k**3 + 14*k**2 + 14*k + 16. Let m be p(-13). Let o(c) = 9*c**m - 8*c**3 - c + 9*c**2 + 6 + 10*c. What is o(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 56*r**2 - 430*r + 1024. Let k(d) = -3*d - 299*d**2 + 304*d**2 - 36*d + 93. Let o(f) = 68*k(f) - 6*s(f). Factor o(h).\nAnswer: 4*(h - 15)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 23*h**2 + 948*h + 9798. Determine w(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2136 and 10476?\nAnswer: 1864728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/3 - 54379906*d\/3 + 739293544142209\/3 = 0.\nAnswer: 27189953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -1, -8.3, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 3*n + 13. Suppose 0 = -5*r - 2*j + 32, -2*j = 4*r - 4*j - 40. Let x be l(r). Calculate the highest common factor of x and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 22*c + 5 = 122, 3*y - 2*c - 50 = -107 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.33 and 0.4.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14523 by 141.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 3. Let j be r(4). Let p = -8 + j. Let f(h) = 4 - 5*h**2 + 2*h**2 + p*h + 5*h**2 - h**3. Determine f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.184? (a) -1\/9 (b) -0.5 (c) 0.4 (d) -34 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 29*o**2 + 5*o + 12. Let u(v) = -27*v**2 - 7*v - 10. Let j(c) = 5*h(c) + 6*u(c). Let n(g) = g. What is j(n(k))?\nAnswer: -17*k**2 - 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnuhhnmjuhpmphhhphhm. Give prob of picking 2 j and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10489\/4 - 2636. Suppose 129 = -3*i + 3*y, y - 7 = -4. Find the common denominator of c and (2\/i)\/((-3)\/(-162)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2240048 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.28033 millilitres to litres.\nAnswer: 0.05628033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 36*j - 1. Let z(s) = -109*s + 3. Calculate 17*v(b) + 6*z(b).\nAnswer: -42*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*d - 73*d - 48*d - 31*d.\nAnswer: -112*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42556188551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-22)*-2 + (-6)\/88\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -350 - -a46?\nAnswer: 6c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/9 + 3052*y**3\/9 - 137218*y**2\/9 + 1565840*y\/9.\nAnswer: -2*y*(y - 1480)*(y - 23)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 1050*x - 1049*x. Let b(l) = -l**2 - l + 6. Let v be b(0). Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5382795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.15352159.\nAnswer: -0.46056477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -164 + 506. Let z(u) = -u**2 + 5*u - 7. Let c be z(5). Let q be (-27766666)\/c*-3 + a\/63. What is q rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 32*h**3 - 2*h**2 + h + 1. Let w be l(1). Suppose 0 = 2*n - 14 - 6. Calculate the common denominator of (-242)\/n*8\/w and 113\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244 + -106?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-126))\/((-3)\/(-12))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/5 = 90.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 2, c: 5, y: 4, f: 4}. What is prob of sequence ci?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2183 or 1?\nAnswer: -1\/2183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -513\/4, 4\/7, -10\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -151 - -168. Calculate the remainder when 132 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*n**5 + 118*n - 118*n + (2*n**2 - n**2 + 0*n**2)*(3 - 3 - n**3).\nAnswer: -79*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194.3858 * 275.\nAnswer: -53456.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -659?\nAnswer: -659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 12 + 2*n + 43 + n + 44 in the form f + o*n and give f.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3285*b - 170892. Determine a(52).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50, 98, 152, 218, 302, 410?\n\"Answer: d**3 - 3*d**2 + 50*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73, -149, -225, -301?\n\"Answer: -76*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*h + 90215 - 90243, -3*h + 5*s - 2 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -4\/11, -2526 in descending order.\nAnswer: -4\/11, -27, -2526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*s**2 - 637 + 438 - 6*s**2)*(-5*s - 1 + 2 + 1)*(1 + 1 - 5) as v + b*s**3 + o*s + l*s**2 and give v.\nAnswer: 1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1872) + 5 - sqrt(1872))*5 + (sqrt(13) + sqrt(39)\/sqrt(3))*6*-6*6.\nAnswer: -432*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 713 + 643 = 2*u, -5*u + 3*d + 3396 = 0. What is the remainder when u is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cycucyyuaaau. What is prob of picking 2 a and 1 c?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 3*q + 2*q)*(930 - 3*q**2 - 1859 + 96*q + 927) to the form g*q**2 + n*q**3 + y + m*q and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/15 + 42*b**4\/5 - 134*b**3\/15 - 382*b**2\/15 + 44*b\/5 + 256\/15 = 0. Calculate b.\nAnswer: -64, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -830 - 1089. Let g be 4\/(-6) + n\/(-57). Let o = 5 - 2. What is the greatest common divisor of o and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319263 is divided by 1336.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-2 + 7 - -2)) + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13634114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*q**3 + 28 - 7*q**2 - 22 - 3 + 7*q**2.\nAnswer: -67*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 89 (b) 0.4 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42 + 2dc3c?\nAnswer: 2dc80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 131*o**2 - 4*o - 2 - 84*o**2 + 0*o**3.\nAnswer: o**3 + 47*o**2 - 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 14*f - 8. Let r(c) = -17*c**2 - 38*c + 4. Let h(z) = 6*z**2 + 13*z - 1. Let x(j) = -11*h(j) - 4*r(j). Calculate 5*n(w) - 8*x(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2, j + 196 = 4*j + 4*y. Let l = -29 + j. Let v = -10 - -19. What is the remainder when l is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x - 155. Let n be y(-23). Solve -3*l + 4 = r - 3, 2*r + n = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*(2 - -1)*-2. What is the tens digit of -270*(j - 1\/(2\/(-5)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 105*r**3 - 132*r**3 + 2*r - 2 in the form u + p*r + z*r**3 + i*r**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28445849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = 0. Let j = 43\/15 + -1\/5. Sort -0.4, r, j in descending order.\nAnswer: j, r, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 0. Let d = -197 - -199. Suppose 0 = -5*t - d*q + k, 4 - 2 = 3*t - q. Solve w = -w - g + 2, -t*g = -4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 4*q - 10*q = -279. Solve -31*i - s = -30*i - q, -5*s = 2*i - 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11425 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 4*r**2 + 3*r - 3. Let i be c(-3). Let q be 2\/(0 + (2 - (-5 - i))). Put q, 5, -0.5, -2 in increasing order.\nAnswer: -2, -0.5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 11*b**2 - 11*b - 92. Calculate y(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14251647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2\/3, -306 in descending order.\nAnswer: 4, 2\/3, -1, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14755907077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 - 2*z - 3. Let y(p) = -p**3 + 9*p**2 - 13*p - 9. Let l be y(7). List the prime factors of f(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q + 1294 = -56*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 3 (c) -3\/25 (d) 1 (e) -74 (f) -651\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174.5 - -174. What is the nearest to -0.2 in 4\/5, j, 3\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1700) - (-5*sqrt(833))**2.\nAnswer: -20825 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.028, 2\/11, 0.5 in decreasing order.\nAnswer: 0.5, 2\/11, -0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 238, -1, 2\/7, 0.4, -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.048 (b) 0.4 (c) -1\/4 (d) -14.88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 5*a + 3. Let m be u(4). Let l = -596 - -604. Let p(c) = l + 2 + 0 + 50*c - 51*c. What is p(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8328 - 5006. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*c**3 + 70\/11*c**2 + 0*c + 0.\nAnswer: 2*c**2*(c + 35)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*z - 50 - 10 = 0, 1729 - 1756 = -11*v - 2*z - 2*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.7 from -65.7.\nAnswer: -67.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlttmvmmmlmmlvvlvm. What is prob of picking 1 l and 1 t?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61889 is divided by 1375?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277.5 - -278. Which is the closest to v? (a) -1\/8 (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 6?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 13 - 38 = 0. What is the smallest common multiple of f and (-2 + 1)\/((-1)\/7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.5 (b) 0 (c) 3 (d) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-72)*(-2)\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1433\/(-31526))\/(3\/168).\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2. Let s(a) be the third derivative of a**5\/30 - 9*a**2. Give s(p(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294\/155 - 34\/31. What is u in y*u**3 + 0*u + 0*u**2 + 0 + 2\/5*u**4 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/316 and -151\/36.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641524 (base 7) to base 2.\nAnswer: 11011000111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -1, -45.\nAnswer: -45, -22, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4 + 298*q**3 - 11244*q**2 + 10360*q + 21904 = 0. Calculate q.\nAnswer: -1, 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 141*u**2 - 4*u + 35*u**3 + 0*u**3.\nAnswer: 35*u**3 + 141*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16)\/(30\/40)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207011?\nAnswer: 7, 29573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 7*o**2 + 2. Let y be z(7). Suppose y*q - 16 + 2 = 0. Let n = q - 3. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y + 15. Calculate the lowest common multiple of 9 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -0.05, -0.5, -15?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 914 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 1. What is the units digit of o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1012*s**5 + 5689501*s - 5689501*s + (-s**3 - s**2 + s**2)*(-s**2 + 0*s**2 + 3*s**2).\nAnswer: -1014*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183166384?\nAnswer: 2, 19, 602521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**2 - 17*i - 16. Let o be s(-6). Let h = o + 212. List the prime factors of h.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v**3 + 30*v**3 - 2*v**2 - v - 8*v**3 - 1 + 2*v + 5*v**3 to the form g*v**2 + s + a*v + r*v**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25 times -0.0541134?\nAnswer: -0.06764175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = f + 4, -2*f + 211*u - 6 = 206*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5277 = q, 4*q = i - 2*i + 1047. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1666 = -2*k, z + 2*k = 3*z - 3314. Suppose -2*i - z = -4*i + 2*h, 4*i = 2*h + 3330. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 433387 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4*c = -1, 9 = -2*c + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*d = 12, 2*z - 15 = -0*d + d. Suppose -5*i - 3*y = -9, i + 3*i + z = 3*y. Which is the biggest value? (a) -2 (b) 2\/17 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 11. Let h(w) = -w. Determine -2*h(p) - l(p).\nAnswer: 5*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 + 104 = 20*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 265302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -774, -6167, -20818, -49359, -96422, -166639, -264642?\nAnswer: -395063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -86. What is the remainder when u is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*w + 0*w + 9 = 0, -3 = -w. Let k(p) = -p**3 + 3*p**2. Let n be k(z). Let r be 2\/(-2) - 6\/(-8). Is r smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 - 3 + 3 + (94*p - 92*p - 74*p)*(-34*p**3 + 16*p**3 - 20*p**3).\nAnswer: 2738*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/10232 and 37\/276.\nAnswer: 706008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/14 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -332769*236.3\nAnswer: -78633314.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4 + 18*z**3 - 46*z**2 + 30*z = 0. Calculate z.\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Let j(i) = 4*i**2 - 5*i - 4. Let v(h) = 5*h**2 - 5*h - 5. Let b(l) = f*v(l) - 6*j(l). What is the smallest common multiple of b(-6) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 14 + 2323*x**4 + 2334*x**4 - 4659*x**4 + 16*x**3 to the form v*x**2 + c*x + m*x**3 + o*x**4 + n and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - (1 + 2)) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-21) + (-1)\/(21\/(-2)). Suppose 2*s = -2, 19*s - 24*s + 1 = i*a. Factor -9\/2*v**2 - 9\/2 - 3\/4*v**a - 33\/4*v.\nAnswer: -3*(v + 1)*(v + 2)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-1 + 3 - 4)*(2*j - 7*j + 3*j) + (2*j + 0 + 0)*(3 - 6 + 1).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -123 (b) 5 (c) -6\/61 (d) 2 (e) 3\/4 (f) -2 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05459 to 3 decimal places.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*v + 58*v + 18 - 108*v as s + k*v and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 10 + 37 - 52 = -2*a + o, -6*a + 20 = -4*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -472.783 - 7.507. Let l = 50.89 + q. What is l rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -302*b - 2. Let y be g(0). Sort -9, -126, y.\nAnswer: -126, -9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -113, 77015 in descending order.\nAnswer: 77015, -1, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1996 and 36.\nAnswer: 17964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135.5 + -135. Let q = b - 0.5. Sort 0.2, 10\/7, q.\nAnswer: q, 0.2, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/((-261)\/(-2)))\/((-61)\/(-1098))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 439856.32 to the nearest one thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 7142 + 4454. What is the remainder when x is divided by 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 12:43 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 9580\/9*z**3 + 103040\/9*z + 1\/9*z**5 + 53000\/9*z**2 + 190\/9*z**4 + 67712\/9 = 0. Calculate z.\nAnswer: -92, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*q**3 - 10*q**2 - 2?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7289 and 1?\nAnswer: 7289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let x = -2 - v. Let o(p) = p**2 - 318*p - 640. Let w be o(-2). Sort 4, x, w in ascending order.\nAnswer: x, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005124375345 to 6 decimal places.\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*u + 23, -3*r + u = 5*u + 32. Let f = -1\/3102 - 6185\/58938. Which is the third smallest value? (a) r (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.06 - 1.56. Let s = 0 + 0. Let r = -2 + s. What is the smallest value in -1, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 10 = 14*x. Let l(r) = -2*r**2 - 2*r. Let b(v) = -6*v**2 - 5*v + 1. Let g(j) = x*l(j) - 2*b(j). Give g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -211996?\nAnswer: 211992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 58*b**2. Let i(s) = 129*s**2 + 133*s**2 - 265*s**2. Determine k(i(x)).\nAnswer: 522*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 131 + 289 = 0. Let g be (6\/(-18))\/((-1)\/6). Let v be (g + -1 - -5)*315\/90. Calculate the greatest common factor of a and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21316027 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -69910 - -0.11?\nAnswer: -69909.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(468) + (-1*sqrt(468))**2*-6 - (sqrt(468) + -3 + (sqrt(468)*-3)**2).\nAnswer: -7017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**3 + 60*p**2 - 3338*p + 50115. Determine g(15).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01519 + -4.98481. Which is the closest to -6? (a) 0 (b) -2 (c) 1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 8 (c) 44674 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53\/5 + -376\/35. Let o(n) = -n**3 + n + 1. Let a be o(0). Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 198*l + 198*l - 278*l - 120*l.\nAnswer: -2*l + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1736)\/(-168) + -41)\/((-14)\/(-3))?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j, 2*w + j + 13 = 4*w. Suppose -3*b - 146318100 = 5*z - 41018090, -w*b - 3*z - 175500006 = 0. What is b rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/4)\/(39\/3066). Let b(t) = -16*t**2 + 6*t + 5. Let i be b(-4). Let y = i - z. What is the nearest to -4 in 0.1, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -1.18, -398?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + g - 1)*(83*g - 38*g + 69 - 46*g).\nAnswer: -g**2 + 69*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 113, 225, 335, 443?\n\"Answer: -h**2 + 115*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -138991.5, -2, -0.4?\nAnswer: -138991.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 17*g + 3*g**2 + 8 + 11*g to i*g + a*g**2 + j and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616952472 is divided by 2745?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by -283?\nAnswer: -87\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjll when four letters picked without replacement from rlkjkjjlllrjrxrlx?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 14. Suppose -a + k*l + 10 + 18 = 0, -2*a - 4*l = -72. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 6. Let i(p) be the second derivative of -p**3\/6 - 5*p**2\/2 + 9*p. Determine 6*i(h) - 5*r(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*n = 5770, 5*n - 1166 = -s - 0*s. Suppose 6*v = 2*v + s. Is 9 + v - (-2)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/3 - h**2\/3 - 110*h\/3 = 0 for h.\nAnswer: -10, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)*k**0*(k\/(k*k*k**(-1)))\/(k*k**3) assuming k is positive.\nAnswer: k**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(231)*3 - sqrt(231)) + sqrt(231))\/sqrt(7))\/(sqrt(1100)*-2 + sqrt(1100)).\nAnswer: -3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283634112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 + 0.0619?\nAnswer: -266.9381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -106. Is ((-39)\/(-9)*5)\/(p\/(-36)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9051)\/(-665)*14\/(-6). Let i = f + 153\/5. Find the common denominator of 38\/11 and i.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -41*i - 79 - 103 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 845*g + 2536. Calculate y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28801702 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -5, 990?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1454.68 - 1507. Let z = m + -1.78. Let t = 48 + z. Round t to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 106, 121, 160, 235, 358, 541?\n\"Answer: 2*b**3 + b + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 w when four letters picked without replacement from {q: 11, s: 5, w: 1}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 15*d**2 + 9*d - 11. Let w be g(8). Let z be ((-4)\/w)\/2 - 104\/78. Let t = 0.36 + -0.06. What is the closest to z in t, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**2 + 44310*y - 98168805 = 0 for y.\nAnswer: 4431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(325) + sqrt(325) + 0 + 3 + sqrt(325) + sqrt(325)) + sqrt(325)*-2*6 + 3)**2 + -5.\nAnswer: 1440*sqrt(13) + 187231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -262669.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 553 and 8.\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)*c*c*c\/(c**(2\/53)*c) assuming c is positive.\nAnswer: c**(-373\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1877 is divided by (30\/4)\/(265\/(-1272)*(-18)\/10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -23*q + 60*q**2 - 26*q + 48*q - 4. List the prime factors of d(-2).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((((n\/n**(-1)*n)\/n*n)\/n*n)\/n))\/n*n)**(2\/11))**(-28)\/((n*(n*n**0)\/n)**(3\/20))**(-4) assuming n is positive.\nAnswer: n**(313\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 185694460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.15 - 8.15. What is the nearest to -0.1 in 1, y, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/5 + 28\/5. Suppose 398 + 852 = b*y. Suppose y = 3*l - 8. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4127, 4121, 4115?\n\"Answer: -6*m + 4133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cayoibo. Give prob of picking 1 b and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-78)\/(-117)*(-117)\/104. Put -75, -5, t, 5, 1 in ascending order.\nAnswer: -75, -5, t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6211*p**2 - 9174 wrt p.\nAnswer: 12422*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 64 = -4*s, 3*s - 80 = -2*s - h. Solve 3*j = 5*t + s, t - 2*j - 4 + 3 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3567, -4, -220, 0 in decreasing order.\nAnswer: 3567, 4, 0, -4, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/18)\/((c\/((c*c\/c**(-9)*c)\/c))\/c))\/(c**9)**24 assuming c is positive.\nAnswer: c**(-3689\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6966 and 68994?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12426 is divided by 12301?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 4 = 3*b. Let p be (-4)\/6*(20 - 26). Solve -19 + b = -p*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46751 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + r - 17, 0*r + 2*r = 2*o + 4. Solve -3*l + 1 = v + 12, o*v = -15 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -2247873.\nAnswer: 2247872.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 7*o**2 - 4*o - 12. Let b be (7 - 5) + (3 - -1). Let x be t(b). Suppose x = -0*q - 6*q + 18. Solve 4*l - q*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/10 (b) -5 (c) 2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 772 + 547 = -6*s. Solve -s*r + 13 = -17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5, -3*z - o - 11 = -6*o. Let j(g) = -2*g**3 - g**2 + 3*g + 2. Give j(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14 + 35*n**2 - 71*n**2 + 38*n**2 - 4*n. Let s be y(5). Let a = -2 + 7. Solve -s = a*p - k, p - 3*k = -4*p - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -410, -431, -456, -491, -542?\n\"Answer: -d**3 + 4*d**2 - 26*d - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172 - -176. Solve -3*m - 5 = 3*k + t, -5*m + 3*k - 7 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-63)*(-152)\/1140*861\/6.\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-2 + -1)**2*3 - (4*1*sqrt(468) + sqrt(468))*-6) + 5.\nAnswer: 252*sqrt(13) + 5624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}