diff --git "a/data/dm_maths/full_data_2/1782_11255.jsonl" "b/data/dm_maths/full_data_2/1782_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1782_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o = -69 - -74. Let a(r) = -o*r + 10*r**3 - 3 + 2*r - 3 + 0. Let p(q) = 3*q**3 - q - 2. Let d be (-2 - (-2 + -14))\/(-2). Calculate d*p(h) + 2*a(h).\nAnswer: -h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 plus -0.07?\nAnswer: 231.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**2. Let n(a) be the third derivative of 0*a - 1\/8*a**4 + 0*a**3 + 6*a**2 + 0. Give y(n(u)).\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 3. Let i(y) = -y + 2. Let z(c) = 3*i(c) + 2*j(c). Let b(s) = 2*s + s + 3*s. Calculate b(z(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 442, 439, 426, 397, 346?\n\"Answer: -p**3 + p**2 + p + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*v = 350*v - 2136. What is the highest common divisor of v and 1602?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**2 + 4*d**2 - 9*d**2 - 43*d + d**2 - 11*d + 90*d + (0*d + 0*d - 2*d)*(d + 0*d - 3*d) - d**2 - 5 + 5 + 3*d + 2*d**2 - 3*d.\nAnswer: -5*d**2 + 36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19759 is divided by 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - (-23898)\/9. Suppose -5*k - y - 7679 = 0. Let u = 1067 + k. Round u to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k. Let w(d) be the second derivative of -2*d**3\/3 + 3*d. Let h(n) = -5*l(n) + 3*w(n). Let z(o) = -o**2. Calculate z(h(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46026 + 45945 = 9*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 376701361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 8*t + 48. Suppose t*v - 17*v + 130 = 0. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a century in months?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 7. Let j(r) = 2*r - 3. Let a be j(3). Let i = a + -3. Calculate t(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 + 5*z + 3. Let m be a(-3). Let q(c) = 2*c - 8. Let n be q(m). Does 6 divide 10 - 2\/(n\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/((q*q**(-25)\/q)\/q)))\/q)**(-1\/31) assuming q is positive.\nAnswer: q**(25\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7703, 8444, 10455, 14372, 20831?\nAnswer: 30468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/8*-1*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18994)\/(-8)*24\/(-54). Suppose t - 636 = -4*j + 429, -t + 1060 = -j. Let w = t + y. Calculate the common denominator of 9\/7 and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, m: 7, i: 1, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93 - -96. Sort 12, -2, -3, 2, n in increasing order.\nAnswer: -3, -2, 2, n, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6*n + 16. Let l = -1 + n. Suppose 0 = -u + g - 6, -5*g = -l*u + 3 - 29. Are u and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 0*q**2 + 4*q**2)*(-2*q - 3*q + 4*q) + 0*q**3 + q**3 - 2*q**3 + (0*q**3 + 0*q**3 + 2*q**3)*(3 - 13 - 6) + (4 - 3 + 0)*(5 - 5 - 2*q**3).\nAnswer: -37*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*h - 18, -2*h + u = 3*h + 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 8 - 3*v)*(5*v**4 + 0*v**4 + 3*v**4)*(-3 - 1 - 3).\nAnswer: 168*v**5 + 840*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004798740708 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27138559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 315*f**3*m**3 - f*m**3 - 3*m**3 - 8*m**2 wrt f?\nAnswer: 1890*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.122557 to four dps.\nAnswer: 0.1226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19455, -19408, -19361, -19314?\n\"Answer: 47*u - 19502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, v: 1, h: 1}. What is prob of picking 1 s and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-81))\/(35*1\/42)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/9 (b) 9 (c) 0.5 (d) -14 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128370098 to the nearest integer?\nAnswer: 11330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -54*o**5 - 3*o**2 + 32*o + 8. Let n(z) = 108*z**5 + 5*z**2 - 63*z - 14. Let c(w) = -5*m(w) - 3*n(w). Find the second derivative of c(l) wrt l.\nAnswer: -1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*y = 378*y - 9257 + 2182 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**5 + 2 - 2)*(-17 - 18 + 7).\nAnswer: 28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 69*u + 1538. Let i be b(-21). What is the second biggest value in i, 2, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*t + 3349, b - 4*b = -4*t - 3319. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 197 + -196. Let h(u) be the first derivative of 2*u**3 - u**2 + u + 2. Let r(q) = q**2 - q + 1. Calculate i*h(g) - 4*r(g).\nAnswer: 2*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -211414?\nAnswer: 211412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q = 20*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 3*g - g - 943 + 517*g + 943 + (4 - g - 4)*(-1 + 3 - 1))*(-3*g + 4 - 4).\nAnswer: -1551*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 12 = 3*d - 0*d, -3*x = 5*d + 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2565 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, -2\/5, 0.1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0*h + 1\/24*h**4 - 1\/20*h**5 + 0 + 1\/120*h**6 + 7*h**2 - 1\/6*h**3. Determine m(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 49*o + 38 = 53*o, -12 = -j - o. Which is bigger: -5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958183.\nAnswer: 958183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(((-117)\/(-18))\/13*-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2 = -13. Suppose 4*s + 4*g - 48 = 0, -b*g + 8 = -7*g. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4472 and 59\/344.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7130000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 a factor of 470555154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/2013 and 79\/15.\nAnswer: 10065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 5*q**2 - 2*q + 7. Let b be j(-5). Let l = b + -11. Let z(w) = 2*w + 6. What are the prime factors of z(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3024786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2128 - -27675?\nAnswer: 30814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19565\/6 - 3282. Let o be 3\/4 + 99\/12. What is the common denominator of c and (o\/(-32))\/(9\/102)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 60599.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1688 + 41*p - 1688)*(-2 + 6 - 3)*(0 + 0 - 1).\nAnswer: -41*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by -2.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 y when four letters picked without replacement from {x: 8, y: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 0*v**2 + v**2 + (-153*v + 54*v - 123*v)*(-2*v - 2 + 2) + 11 - 8*v**2 - 11 to w*v + u + s*v**2 and give s.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 17*c**5\/20 + c**4\/12 - 55*c**3\/6 + 11*c**2\/2 + 2*c + 36. Is t(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19511 is divided by 9738.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -27. What is the remainder when 56 is divided by m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 316, 469, 624?\nAnswer: 781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3 + 1122*h**2 - 22720*h + 21600 = 0.\nAnswer: 1, 20, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94596 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2.364*3\nAnswer: 7.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*h**3 - 19*h - 14*h - 14*h**3 - 13*h + 49*h + 1361*h**2 - 190 wrt h?\nAnswer: 3*h**2 + 2722*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*b = -353*b + 42 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2389 = -95*b + 746. What is the highest common factor of b and 855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**6\/120 + k**5\/60 + k**4\/24 - k**3\/6 - 2*k**2. Let q(t) = -6*t**3 + 5*t**2 + 6*t - 3. Calculate -q(c) + 5*z(c).\nAnswer: c**3 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -6)*(-2)\/8. Which is the second biggest value? (a) 0.3 (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 + 2. Let o(k) = -19*k**2 - 5*k. Let j(h) = -28*h**2 - 7*h - 1. Let u(q) = -5*j(q) + 7*o(q). What is -5*r(m) + 2*u(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24566639747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, s: 6}. What is prob of sequence hh?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 654 (base 9) to base 10\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*o**2 + 211*o**2 + 211*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/18*(-2)\/(-90)*-1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - 6*(-157 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w + 3*f - 1, -2*w + 4*f = -48. What is the smallest common multiple of w and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23677529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -106, -221, -334, -445, -554, -661?\n\"Answer: x**2 - 118*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79\/57 + 20\/19. Which is the closest to 2\/11? (a) 4 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/23 - 24*p**2\/23 - 82*p\/23 - 60\/23 = 0. Calculate p.\nAnswer: -6, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 8*s**2 - 5. Let w be q(-8). Let v(i) = i**2 + 6*i. Let c(b) = -b**2 - 7*b + 1. Let h(k) = w*c(k) - 6*v(k). Determine h(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 + 14.15. Let l be 1\/3 + -14 + (-616)\/(-48). Which is the biggest value? (a) 5 (b) l (c) -2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*k + 8*k. What are the prime factors of 22\/6 - k\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = h - 0*k - 15, -5*h + k = -20. Calculate the remainder when 13 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -1224 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28286 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -88, -2, 10, 12, 22 in ascending order.\nAnswer: -88, -2, 10, 12, 22, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2516917?\nAnswer: 13, 53, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -66. Is 9 a factor of r\/(-40)*-4*120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - 198. Let n = -95 - s. What is the units digit of 77 + n\/3*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1112660 - 24?\nAnswer: 111263b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 4 (c) -0.5 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -9*4*(-117)\/156 and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1036315 and 7105?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1.72\nAnswer: -6.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 2. Let f be l(-2). Let t = 30 + -26. Solve f = 2*h - 2 + t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - s - 5*s**2 + 6*s - 2*s to the form f + g*s**2 + x*s and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 0 + 2)*(-3*y + 4*y + 0*y) + 0*y - 3*y + 2*y)*(-5025883 + 5025883 - 5318*y) to x*y**2 + b*y + l and give x.\nAnswer: 10636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.68 + 0.32. Which is the biggest value? (a) n (b) 0.1 (c) 5\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4833 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**5 - 267*i**4*n**3 + 2*i*n**2 - 66*n**3 - 8*n wrt i?\nAnswer: -140*i**3 - 3204*i**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwww. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = -2*u - 2, 3*d - u - 7 = 0. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggbg when four letters picked without replacement from cgbbgbgb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 + 26. Let z(g) = 6*g**2. What is z(o(j))?\nAnswer: 24*j**4 - 624*j**2 + 4056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = -2*n, -n + 4*j + 8 = -5*n. Let q(g) = -2*g**3 - 4*g**2 - 4*g - 2. Let f be q(n). Suppose 2*i = f*p - p - 48, -5*i = 3*p - 4. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 99.04864 kilograms?\nAnswer: 99048.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3473*f - 3280*f + 345*f - 5819*f + 673*f)*(-3*f + 0*f + 2*f) to y*f**2 + x + j*f and give y.\nAnswer: 11554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4132902 times 2.2?\nAnswer: 9092384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*c - 25, -20*c - 4*a = -16*c - 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 2\/3, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -164644 (base 7) to base 14\nAnswer: -bdcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(76) + sqrt(76))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -23. Let x = 32 - t. Calculate the remainder when 20 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.81 - -74\nAnswer: 51.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -825*s**3 + s**2 + s - 3. Is l(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675327 is divided by 20291.\nAnswer: 5724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33995286 and -209?\nAnswer: 33995495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 521, 816, 1113, 1412, 1713, 2016, 2321?\n\"Answer: k**2 + 292*k + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11.95, 0.1, -3 in ascending order.\nAnswer: -11.95, -3, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3965 = -3*n - 467. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-102)\/(-85))\/((-6)\/15). Which is the biggest value? (a) -0.2 (b) -0.4 (c) -6 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/9 - 6081904*y\/3 - 4623694533152 = 0. Calculate y.\nAnswer: -4561428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11216.58 weeks in microseconds?\nAnswer: 6783787584000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 - 19041964*b - 228503280 = 0.\nAnswer: -9520970, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875346625 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -44*j - 527. Calculate v(-17).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 573 + -387. Let f = t + -97. Let g = -88.9999921 + f. What is g rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3331335 + 3024?\nAnswer: 3334403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 k when three letters picked without replacement from eeyykyyey?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -45, -126, -279, -528, -897?\n\"Answer: -4*h**3 - 5*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a hour?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*l**2)*(249*l + 696*l + 350*l).\nAnswer: -2590*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 32796.91kg?\nAnswer: 32796910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 50, 55, 64, 77?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0 - 9*k - 9 + k**2 + 11*k. Is 25 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5376 + 5376.0005423. What is i rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108550791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 17*n**2 - 31*n + 33. Let w = 93 - 78. What is the remainder when 233 is divided by q(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p - 168 = -18*p. Let s be ((-6)\/p)\/1 + (-104)\/(-28). Solve -y - s = -5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16421642 - 16421641.43899813. Let n = -0.561 + v. Round n to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + n - n + n + (-6 + 1 + 3)*(0*n + 0*n - n))*(-3*n**2 + 5*n**2 + 4*n**2) to the form m*n**2 + b*n**3 + g*n + v and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n**3 + n**2 + 19*n + 2. Let f(v) = 34*v**3 + 3*v**2 + 62*v + 6. Calculate 3*f(s) - 10*y(s).\nAnswer: -8*s**3 - s**2 - 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let l be o(3). Let z = -3.68 + 22.78. Let k = 23.1 - z. Sort l, k, -1 in descending order.\nAnswer: k, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2. Let z be (11\/3 - 3)*3. Let o(j) = 7*j**z - 3*j + 3*j - 6*j**2. What is i(o(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 3*o - 2*o - 9, 2*o - 4*c + 22 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4450215577 to the power of 1\/3, to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*j = -0*j - 15, 5*t = 4*j + 16. Solve o = 4*r + 5, r + o - 4 = -t*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 360*q**4 - 891*q**4 + 482*q**4 + (4 - 5 + 2)*(-2*q**2 - q**4 + 2*q**2).\nAnswer: -50*q**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -678 - -677.8. Which is bigger: t or 1.18?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-17 - -10 - (3 + -5 + -3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 5*b**2 - 7*b - 8. Let r be s(-6). Let y be r\/(1 - (-19)\/(-18)). Suppose -2*t + y = t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*o + 15, 0 = 2*o - 0*b + 2*b + 10. Suppose 4*w - 5*n - 10 + 3 = o, 15 = -5*n. Let q be (-8)\/5 + (-4)\/10. Does w = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47742 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1517822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q + 5. Let h be u(-4). Suppose 2*p = h + 11. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/12)\/4*-6. Let t be (-2)\/(-8) - (-15)\/d. Solve -5*z - 17 = t*a, -a = 2*a - 3*z - 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 2*b + 1. Let f(m) = -2*m**2 + 2*m + 2. Let k be (-10 - -5) + (-1 - -2). Let h = -5 - -8. Give h*f(i) + k*r(i).\nAnswer: 2*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d - 3*d - d. Suppose 4 = -3*z + 5*l - 0, 2*z - 12 = -4*l. Let f(c) = 5*c**z - c**2 - c**2. Determine a(f(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -122*f + 1. Let t be o(-6). Suppose 2*j - 1 = -t. Let b = -201 - j. List the prime factors of b.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-i**2 + i**2 + i**3 - 2*i**3 - i**3 + 2*i**3 + (i**3 - i**3 - i**3)*(-1 + 4 - 2) - 4*i**3 + 3*i**3 - i**3).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -74*d + 1. Let w(n) = -60*n + 1. Let q(b) = -4*t(b) + 5*w(b). Let x be ((-2)\/3)\/((-16)\/72). Calculate q(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.746 rounded to 0 decimal places?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 0.8. Sort n, -4, -0.6 in decreasing order.\nAnswer: n, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15736384 greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Suppose -2*r - 1 + 65 = 0. Suppose -4*m - 2*a = 2*a - r, -3*a = -4*m + 60. Suppose y + y = m. Calculate j(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9 + (-31)\/62?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 4*s)*(2*s + s**2 - 2*s)*(2*s + 1 - 1) + (-2*s + 3*s - 3*s)*(-5*s**2 + 5*s**2 - s**3) + 0*s**3 + 0*s**3 + 2*s**4.\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q - 2*b + 1 = -8, -2*q = -2*b - 5 + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:24 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61713576?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptzyzzztphjpppp. Give prob of picking 3 p.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atatteeteae. What is prob of sequence aa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 11:35 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/4 + v**4\/6 + v**3\/6 - v. Calculate the smallest common multiple of 10 and z(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 2*t**2 + 5*t + 2. Let a be m(-3). Let g(h) = -11*h - 5. Is g(a) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16.7 in 14, -0.01, 1, 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + (sqrt(2299) - (sqrt(2299) + -1 + -5) - ((-3*sqrt(2299) - sqrt(2299) - sqrt(2299))*5 - sqrt(2299)))))**2.\nAnswer: 100672*sqrt(19) + 24867920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454, -418, -346, -232, -70?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/6 and 85\/465178?\nAnswer: 1395534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18849111*d**3 + 15407478*d wrt d.\nAnswer: -113094666*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15002*z**5 + 9710*z**2.\nAnswer: -900120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3, -5*o + 10 = -4*k - 48. What is the remainder when 55 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16943 is divided by 707.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -65, -103, -157, -233, -337, -475?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11634*y - 11651*y - 187 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-29)\/102 + -23 + 3336\/144. Let s = 1 + 1. Let p = s + -1. Which is the smallest value? (a) l (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4\/7*g**4 + 2\/7*g + 0 - 4\/7*g**2 - 2\/7*g**5 + 0*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 7, x: 5, w: 2, i: 3}. Give prob of sequence id.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37386*i**2 - 18925*i**2 - 18762*i**2.\nAnswer: -301*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*b + 194, -17 = -x + 2*b + 83. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*o**2\/7 + 68*o\/7 + 40\/7.\nAnswer: 4*(o + 5)*(3*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j - 25. Suppose -2*q - j = 3*q. Let c be -9 - -7 - (-7)\/5. Are q and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 4. Let u be -1 - (a - -4)\/2. Let t be 5\/(-60) - u\/(-8). What is the closest to t in 5, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -118, -115, -112, -109, -106, -103?\n\"Answer: 3*i - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 385\/6. Let i(k) be the second derivative of k**2 + 0*k**3 + 2*k + h*k**4 + 0. Find the first derivative of i(s) wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1118*b - 4203*b**2 - 855*b + 2099*b + 1584*b wrt b?\nAnswer: -8406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/7)*d)\/d*d*d\/(d\/d**(-2\/7))*d*d)**(3\/35) assuming d is positive.\nAnswer: d**(66\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**3 + 5*b**3 - 17*b**3 - 4*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-18) + 4\/18. Let j = 341 + -341.2. Which is the closest to -0.2? (a) -0.1 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(0 + (-2)\/1). Suppose -3 = -3*b + 9. Sort b, p, -2 in descending order.\nAnswer: b, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -16*i - 22. Let m(a) = 11*a + 15. Calculate -7*m(n) - 5*y(n).\nAnswer: 3*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23793 + -23526. Calculate the highest common factor of l and 979.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j + 1. Let s be b(1). Calculate the highest common divisor of 296 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8*j + 9 = 0. Suppose 10*i - 27 = j. Let f be (-7)\/(-1) - (5 - (3 - 0)). Solve -13 = -2*n + i*w, -5*n + 20 = -10*w + f*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 2*g - 23, -2*g - 4 = p + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 + 0 = 2*x, 3*y = 2*x - 14. Let f = -193\/47 + 30781\/7473. Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -2*c + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1802*j**3 + j**2 - 6*j + 4. Is w(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, -12, -6531.\nAnswer: -6531, -113, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 957894 and -124921318?\nAnswer: 125879212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 24 + (2 + 1 - -4) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + 2*sqrt(1216) - sqrt(1216))**2.\nAnswer: 80*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3069 to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 11. Let z(o) = -3*o**2 - 40*o + 19. What is the remainder when z(-13) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**2 - 2*c - 3. Let w be k(-1). Let t(f) = -13*f - 27. Let l(p) = -p. Let g(v) = w*l(v) + t(v). Differentiate g(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*o + 10 + 14, -5*o = 4*n - 28. Let g(k) = -10*k - 10. Let h be g(-3). Suppose -h = -10*d + 5*d. Solve -d*t + n = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1052 + 1584. Let n = -529 + c. Solve -n*y - 2*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2949 times -0.1\nAnswer: 294.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 87, -2.2, 5?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4501.\nAnswer: 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6504\/5 + -1300. Determine s so that 0 + 0*s + 2\/5*s**4 - 6\/5*s**3 + d*s**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.455 + -0.415. Let j = o + -5.85. Let u = -0.19 + j. Which is the third smallest value? (a) -0.1 (b) u (c) -2\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 29*d.\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 4 + 4 + 4*p**2 - 2*p**2 - 4*p**2 + (0*p - p - p)*(-1 - 2*p + 1) + 0*p**2 + 0*p**2 + 2*p**2 + 0*p**2 + 2*p**2 + 0*p**2)*(2*p**2 + 3 - 3).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*n - u + 5672, -9472 = -5*n + u. What are the prime factors of n?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 22.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/12 + (-58)\/(-8). Suppose -8*h + 293 = -323. What is the greatest common divisor of i and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (6\/(-30) - (-237)\/335). Let w = -3647\/603 + r. What is the common denominator of 13\/38 and w?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 235, 350?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2724, -5456, -8188, -10920?\nAnswer: -13652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 6:12 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 89866381 and 0.4.\nAnswer: 89866381.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from ccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 + 0 + 2 - 1 + 2*v**2. Let h(b) = b**3 + 4*b**2 - 6*b - 3. Let g be h(-5). Determine f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-5) - (-3)\/(-15). Let q = i - -3. Factor 5*t + 0*t**2 - 23*t**q + 3*t**2.\nAnswer: -5*t*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b = 6*b - 76*b + 1440 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 7 = -x. Let p = -33 - x. Suppose 0 = -5*v + o + 616 + 1057, 0 = 4*v - p*o - 1332. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.03 + -13.03. Let r = 18869 - 150691\/8. Let y = 15937\/488 - r. Which is the third biggest value? (a) 4 (b) y (c) k (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91*b**4 - 2*b**2*n**2 + b*n**2 + 3*b*n - 3 wrt b?\nAnswer: 1092*b**2 - 4*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46046, 92072, 138082, 184076, 230054, 276016?\n\"Answer: -8*d**2 + 46050*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 21*f + 24. Let q be a(8). Suppose -2*p - 28 = -q. Suppose 2*u + 2 = 0, 0 = 4*r - 2*u - 0*u - p. Calculate the highest common factor of r and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus 15.0105?\nAnswer: -14.9005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (146 + -88 - 17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145707810 by 3530.\nAnswer: 41277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 times 410?\nAnswer: -97170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f**2 + 2*f**2 + 3*f**2 - 4*f**2 - f**2 + 2*f**2 - f**2 - 2*f**2 + (0*f + f + f)*(f + 4*f - 4*f))*(-11 + 2*f + 2 + 1).\nAnswer: 2*f**3 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 373.2 + 0.8. Let r = k + -373.999256. Round r to 5 decimal places.\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9533 - -9547. Solve r*d + 147 - 35 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(p - 1 + 1) - 3*p - p + 3*p + (3 - 2 + 0)*(3*p - p + 0*p) + 21*p - 6*p - 2065 + 2067.\nAnswer: 18*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 425180 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8844 (base 12) to base 3.\nAnswer: -202121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -941688 and -6591818\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iittm. What is prob of picking 2 t and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -12472\/3 and -4157 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66081538 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -55. Let l(r) = -3*r**2 - 12*r - 10. Let q be l(u). Round q to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l - 253*l - 31*l**2 + 239*l - 13*l**2 + 14*l**2.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705 + 701 + 702 - 2816 - 4*g + 706 + 9*g.\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0.8. Let l(x) = 5*x + 35. Let c be l(-8). Let a be (0*(-1)\/2)\/2. Sort q, c, a in increasing order.\nAnswer: c, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 3*q**4 + q**3 - 2459 - 95*q**4 + 2459 + (3*q**3 + q**3 - 2*q**3)*(-3 + 3 + q) in the form w*q**4 + u*q**3 + t*q + r + o*q**2 and give w.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, w: 3}. What is prob of sequence twww?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15960, -33278, -50516, -67668, -84728?\nAnswer: -101690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(((-19)\/418)\/((-2)\/(-4))). Solve 0 = c*n - 19*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-39))\/(58\/(-522)*(-4)\/(48\/(-18)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - -107. Let f = 207 - n. Which is the smallest value? (a) f (b) -1\/15 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1752, 3386, 4994, 6564, 8084?\n\"Answer: -2*o**3 - o**2 + 1651*o + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 15288?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 2*d - 2. Suppose 3*o - 13 = b, o + o - 26 = 5*b. Let g be s(o). Let w be (-4)\/(20\/51)*g. What is the greatest common divisor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 424*n - 199070 + 199068 + 77*n + (3 - 2 + 1)*(0*n + n + n) + n - 3*n + 4*n + (-2 - 2 + 5)*(-4*n + 2*n + 3*n) - 3*n + 2*n + 3*n.\nAnswer: 510*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 56. Let h be (3\/4)\/(x - 1006\/72). Which is bigger: 13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 7 - (2 + 0 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-120)\/(-80)*(-1 + (-7)\/(-3)). Factor 1\/4*t**w + 0 - 1\/4*t.\nAnswer: t*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842687529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(693)\/(sqrt(55)\/sqrt(5)) - (-1 + 3*sqrt(175) + sqrt(175)))*-1)**2.\nAnswer: -34*sqrt(7) + 2024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-147)\/54 - 26\/(-117)) + 2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 6) in base 5?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 19*r - 161. Let o(k) = 2*k - 603. Calculate o(f(j)).\nAnswer: -4*j**2 + 38*j - 925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - 33\/(-9). Solve -5 - b = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/9 and 161\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110*i = -1075*i - 939575. Is i a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -419337 divided by 9\nAnswer: -46593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (721 - 721 + 139*y)*(-2*y + y + 3*y).\nAnswer: 278*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -75?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11555 + 2773 = 263*o - 6186 for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 249.5692096 - 274.5692. Let b = 25 + l. What is b rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 884 - 1020. Sort 0.1, w, -6.\nAnswer: w, -6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 1.5 (c) 1.4 (d) -3 (e) 0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.6040168 - 0.0052768. Let c = k + -12.6. 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: Let f = 65 + -57. Calculate the least common multiple of 4 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/20 + (-193282)\/4. Let o = 66679 - y. Round o to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3399 is divided by 697.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 64*v + 59*v + 59*v - 889 - 249*v + 65*v. Let u(s) = s. Give u(i(y)).\nAnswer: -2*y - 889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -108 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -2 + -7 + 4 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 78*s + 23*s**2 + 19*s - 94*s.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 50.3 + -0.1322\nAnswer: 50.1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 312.3 + -326. Let k = j - -13.699833. What is k rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269 - 239. Suppose 37*m - 229 - z = 0. Solve -3*d - 4*k - 3 = 8, 4*k + m = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85060 + 166398 = -221*l + 95703 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62168 is divided by 378.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000104103 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1613506600 to the nearest one million.\nAnswer: -1614000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2 = 0, 4*u + 2*t + 21 - 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94498?\nAnswer: 2, 37, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054328 less than -105.543?\nAnswer: -105.488672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*l*x + 31*f**2*x**3 + 3*f**2*x + 828*f**2 + f*l + 9*l*x**4 - 15*l*x**2 wrt x.\nAnswer: 186*f**2*x + 108*l*x**2 - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + 10. Suppose k + 0 = 2. Let w = k + 2. What is the highest common factor of w and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 + 0*r**3 + 0*r**3 + (10*r - 41*r - 81*r)*(2*r - 4*r + 3*r)*(-2*r + 0*r + 0*r) as s*r**2 + d + g*r + c*r**3 and give c.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -53, 7, 123, 313, 595?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35610125 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40500955769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/11 + 1744*r\/11 + 5250\/11 = 0. What is r?\nAnswer: -3, 875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 539\/110 + -6 + (-305)\/(-50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/18*(-33)\/2. Calculate the remainder when 55 is divided by (-4)\/(-6) + z\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = f + f + 3*w, 5*w = f - 56. Suppose n + 5*k - 20 = 0, 5*n + 4*k - 1 - f = 0. What is the second derivative of 0*z**5 + 2*z**n - 2*z - 3*z**5 wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 2*s + 3*h, -h = -5*s - 0*h + 292. List the prime factors of s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71895.\nAnswer: 3, 5, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8037004 to the nearest integer?\nAnswer: 2835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, 4, -4, 3, -14, -1800, -5.\nAnswer: -1800, -142, -14, -5, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-522)\/580)\/((-9)\/75)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1966 and 4756737?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 42*k - 14. Let b = -15 + 21. Is s(b) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 119 in 0.07, -2\/5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106022 and 12?\nAnswer: 636132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -12*z**2 - 17*z. Let c(s) = 11*s**2 + 19*s. What is -2*c(t) - 3*y(t)?\nAnswer: 14*t**2 + 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5437, 10007, 14577, 19147, 23717, 28287?\n\"Answer: 4570*x + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -41*d + 66. Let k be a(11). Let t = -365 - k. Solve 21*m - t = 26*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 + -1 - 3) - (-621 - -621).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 620 and 24?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 1674951*z - 28473879. What is s(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s + 5. Let b(u) = -u - 1. Let x(w) = 2*b(w) + y(w). Let v(l) = l**2 - l - 1. Let j(n) = 3*v(n) + x(n). Factor j(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 787, 1731, 2675, 3619, 4563?\n\"Answer: 944*d - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - (71 - 60)) + (-15 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-28)*7*15*1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 17 = -2*t + 5*p, 3*t + 4*p = 15. Let k(h) = 6*h**3 + 3*h**2 - 2. Let y be k(-1). Suppose 0 = -0*l + 5*l - 10. Sort t, y, l in increasing order.\nAnswer: y, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 + -5 + 7 + 2 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18188 - 0.031?\nAnswer: -18188.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4812253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/11 or 1934471?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -28. Suppose 3*b = 7*b + 2*h - 262, j*b - 200 = -5*h. What is the greatest common divisor of 26 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17745127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/a**(2\/9))\/a)**(-4\/15)\/((a*a**(-1))\/a**(-2\/9))*((a*a**(-1)\/a*a*a)\/a)**(-24)\/(a*a**(-2)*a*a\/(a*a**(-8))) assuming a is positive.\nAnswer: a**(-1138\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y**2 + 2. Let o = 26 - 28. Determine s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-4)\/2) + 2. Let k = i + 0. Solve 2*g - 9 = 5*b + 2, 3*b - k*g = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25064 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 143?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9768222 + -0.92031601. Let q = -0.0565 + y. What is q rounded to seven dps?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = p + 5*d, 2*p - d - 3*d = 502. What are the prime factors of p?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2048 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l + 6 - l**3 - 9 + 9*l - 6*l**2. What is the units digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {v: 3, t: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -1142, 2440 in descending order.\nAnswer: 2440, -22, -1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5839283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-8)\/6*3\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 9813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3*(5 + -2). Let m(v) = v**3 - 3*v**2 - 4*v - 3. Let g be m(d). Let u be ((-6)\/8)\/(-1 - 2). What is the nearest to u in g, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 2. Let o be n(-5). Let h(b) = -2 - 3 + 7*b - 8*b. Let l(q) = 2*q + 9. Let m = -3 - -7. Determine m*l(w) + o*h(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2656245 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-370)\/(-2442)*(-270)\/25?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -13, -60.13, -3, -0.1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**3\/3 - 2*h + 19. Let x(r) = 2*r**2 + 3. Let z(n) = -3*i(n) - 2*x(n). Let l(g) = -1 + 1 + g. Calculate z(l(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 2\/11, 19888, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a0d - 33?\nAnswer: -1a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3919 = 3*j - 320. Suppose -2*u - 1059 - j = 0. What is the tens digit of (-5)\/(70\/4) - u\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277.0307*-0.1.\nAnswer: -27.70307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5730617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11311 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -49 and -277.26?\nAnswer: 228.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 106.8. Which is the fourth smallest value? (a) 2\/5 (b) y (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -416.96 to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svssjvkjkkkzz. Give prob of sequence zsk.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4793, -4464, -4099, -3680, -3189, -2608, -1919, -1104?\n\"Answer: 3*x**3 + 308*x - 5104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (480\/(-1540) + (-1)\/7)*2\/(-5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -1 + 3 - (-121 - -128)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 16*r - 35. Let o be p(12). Let n be -14 - -14 - (-1367)\/o. Let h = -105 + n. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*s + 6 + 27*s - 5)*(-11*s + 128 - 128) to the form k*s**2 + b*s + i and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 - 2*x**3 + 4*x**3)*(-2*x + 2*x - 3*x) + (3*x + 4*x + 5*x)*(2*x + 2*x**3 - 2*x).\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/2 - 57*o**2\/2 - 75*o - 48.\nAnswer: -3*(o + 1)*(o + 2)*(o + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1 - 1 + 1523*j**2 - 1482*j**2. Let n(w) = 6*w. Calculate z(n(v)).\nAnswer: 1476*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19992376?\nAnswer: 2, 83, 30109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*q - 1, -4*q + 5*l = 2*l - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*u + 3*k + 310, -3*k = 3*u - 465. Suppose -2*b = 3*b + u. Let t = b - -44. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -163646*r**2 - 286*r + 163647*r**2 - 7 - 8 + 4 as o*r + j + z*r**2 and give o.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - p + 2. Let z be (1 + -5 - 0)\/(-1). Suppose 3*k - 2 = z*k. Let j be 1 + k + 1 + 2. What is x(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*((-18)\/(-4))\/(184\/(-736)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.8 times -7.9?\nAnswer: 346.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -458 + 36072?\nAnswer: 35614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 - 146 + 307 - 161 + 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r. Determine y(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p = 0. Suppose -r - 4 = p, -348 = -2*k - 2*k - 2*r. Let n = k - 12. Calculate the highest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 7 + 0*u - 9. What is h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2973 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 7. Let n = g + -3. Let u = 2.3 + 0.7. Which is the biggest value? (a) -5 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -4 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 5*m + 3. Let h be d(-5). Let t be 1 + (-2)\/(-6)*h. Find the first derivative of t*f**3 - 5 - 4 + 0 + 6 wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 295 - 604 - 8*o + 296 as u + w*o and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**5 - i**4 - i. Let q(s) = 20*s**5 - 355*s**4 + 5114*s**3 + 11570*s**2 - 29257*s - 23064. Let o(k) = 7*m(k) + q(k). Suppose o(d) = 0. What is d?\nAnswer: -3, -2\/3, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5 - (3 - (-147)\/(-35)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8162200 rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.031 + -0.0310124. What is k rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12143 (base 6) in base 4?\nAnswer: -123333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*(11\/(-22))\/(15\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13599 by 4533.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5799531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.27 + -0.27. Let l = -16.999997 + v. Round l to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.4, -13845943?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let b(r) = 3*r**2 - 8*r + 13. Let x be b(4). Let s(t) = 24 + 38*t**2 - 53 + x. Calculate s(w(j)).\nAnswer: 152*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920\/(-9052)*(-30)\/(-75)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 1:22 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {m: 4, n: 3, f: 3, o: 1, k: 2, t: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6) - (-2)\/6. Suppose y*s = 4*s - 44. What is the highest common divisor of s and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lij when three letters picked without replacement from ljjlill.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94570*v**3 + 30505*v.\nAnswer: -567420*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = 0. Suppose i*k + 20 = 5*j - 5*k, 0 = j + 2*k + 8. Suppose -q - q + 4 = j. Solve 3*l = m + 8*l + 9, q*l + 10 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835684 is divided by 858.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5b91 (base 12) to base 6\nAnswer: 115501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-351)\/45)\/(6 + 1\/(5\/(-29))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -342*t - 2*z = -339*t - 4613, 3075 = 2*t + z. Does 53 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3292.473 take away 0?\nAnswer: -3292.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 88 = -2*u + u, 2*g - 5*u - 22 = 0. Suppose 5*i - 9 = g. Calculate the highest common divisor of i and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let w(u) = -7*u**2 + 6*u - 3. Let g(m) = 6*m**2 - 5*m + 2. Let x(r) = -6*g(r) - 5*w(r). Let d(c) be the first derivative of x(c). Give y(d(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3)\/((72\/12)\/2)*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*t - t = 9, t = 3*f - 23. Suppose -3*z = -f*z - 6. Let j = z + 7. Solve 6*u + 2*o - 11 = 3*u, 5*u = -j*o + 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43266 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362116?\nAnswer: 2, 90529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511827 + 12386 = -31*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 474610 divided by -5\nAnswer: -94922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -4.1. Let j = -430 + 430.4. Sort 5, i, j, -0.07 in decreasing order.\nAnswer: 5, j, -0.07, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6 - 3*c - 2*c - 2*c. Let p(q) = -9 + 8 + q + 0*q. Let b(d) = 11*d. Let i(x) = b(x) - 5*p(x). Calculate 6*i(w) + 5*t(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 265*b - 96. Let p be r(7). Let i = -184697\/105 + p. Let h = 6 + -7. Do h and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1915*l**2 + 58*l - 6. Is 22 a factor of x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54417046109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1143994526*i - 272425009 wrt i.\nAnswer: -1143994526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -692 + 736. Let f(i) = i**2 - 1 - 4*i - 3*i - i**3 + 7*i. Let j be f(-2). What is the highest common divisor of j and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**4 + 28*t + t**3 - 15*t + 11 - 12*t + 3*t**4 to the form r + y*t + m*t**2 + q*t**3 + l*t**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021740316 to 6 dps.\nAnswer: -0.02174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9 = -5*k, -1202*k + 1199*k - 7 = 5*r. Let w(s) = 2*s**3 - 4*s**2 - 18*s - 4. Determine w(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402923186 to the power of 1\/2, to the nearest integer?\nAnswer: 20073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -33, -100, -225, -426, -721?\n\"Answer: -3*o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5879 less than or equal to 5878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107279.\nAnswer: 107279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 10:01 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 11*u**2 + 2*u + 26. Let h be b(-11). Solve 0 = 3*w - 0*w - 4*k, 5*w + h*k = -32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 - 218 - (15144\/(-522) + -8).\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-3)*(-1665)\/999. Let x = 6 + -4. What is the nearest to x in -4, 2\/11, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/24*-4*7. Let v = f - -48. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.2381 and 107106.87.\nAnswer: 107109.1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*(sqrt(50)*-1*-6 + sqrt(50) + sqrt(50)))\/((sqrt(490)*2 + sqrt(490))*3) + 0)**2.\nAnswer: 20480\/3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 156615\/10)\/((-12)\/24). Suppose -2*j + 78303 = 5*f, 2*f + j = -0*j + x. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/3 + 10*k**2\/3 + 506*k\/3 + 494\/3 = 0.\nAnswer: -13, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Let s be -2*g\/(-2) - -1. Solve 2*r - 4*p = -12, -s*r - 2*p = -5 + 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**7\/840 + a**4\/4 - 5*a**3\/3 + 11*a**2. Let q(y) be the first derivative of g(y). Find the first derivative of q(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9541 equal to -28627\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 26*k - 34*k. Calculate the greatest common divisor of 42 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1123600502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -j + 3*b + 8, -5*j - 3*b - 2 = 0. Factor -3*d**2 + 2 - j.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 + -207?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.72 to zero decimal places.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39036.\nAnswer: 2, 3, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23289185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10070112 and 288.\nAnswer: 30210336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27594.5 - -27595. What is the closest to 3 in h, 125, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4920 - -6924. Suppose 2*j + 4*j + g = 0. Let i = -198 - j. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6873 and 0.02.\nAnswer: 137.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -41.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*v, 12 = -2*u + 7*u - 3*v. Suppose u*q = -3*s - 879 + 6969, 0 = 5*s - q - 10144. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408160701 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*m - 5*m - 14, 5*b = -25. Suppose 2*i - 690 = -m*j, -j = 2*j - 2*i - 521. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -8*j**6\/15 - 4*j**5\/5 + j**4\/12 + j**3\/6 + 3*j + 3. Let l(r) be the first derivative of m(r). Determine d so that l(d) = 0.\nAnswer: -1, -1\/4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -11*b + 14*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1479 + -1478.935. Put -0.4, 1, q, 3 in decreasing order.\nAnswer: 3, 1, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 + 986*c**2 - 13438*c + 12454 = 0. What is c?\nAnswer: 1, 13, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22393235?\nAnswer: 5, 4478647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -37456 (base 10) to base 4\nAnswer: -21021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12894243 divided by 1?\nAnswer: 12894243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -16 + 5 + 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -70. Suppose 0 = 3*p - 84 - 3. Let o = a - p. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 41 - 362. Suppose -3*y - 41 + w = 0. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1490572, 2981172, 4471772, 5962372, 7452972?\nAnswer: 8943572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*v + 3090 = 0, -3*r - 2*v - 3*v = -9256. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 6*a + 3*a**2 + 3*a**2 - 8*a**2 + 0*a.\nAnswer: -2*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sabackkkk. What is prob of sequence kka?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 593006724 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k**3 + 114*k + 115*k + 51*k - 383 + 113*k**2. Let d(p) = -4*p**3 - 56*p**2 - 140*p + 192. Let j(g) = 9*d(g) + 4*t(g). Factor j(q).\nAnswer: -4*(q - 1)*(q + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11599069484 - -152.\nAnswer: 11599069636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 66 - 3*v**2 + 2*v**2 - 299*v + 299*v. Let w be q(-8). Solve -w*d - 5 = 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -19*w + 23*w. Find q such that -10*q**2 + 6*q**5 + 20*q**4 + 3*q**5 - 3*q**5 - 5*q**w + 9*q**5 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -41, -66, -93, -122, -153?\n\"Answer: -j**2 - 20*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {z: 1, d: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 12675747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(832))**2 - (-4*sqrt(832))**2)*6.\nAnswer: -59902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12565 take away 3549360171?\nAnswer: -3549347606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-5 + (-80)\/(-15))*(27 + -21). Let j(m) be the first derivative of m + 21 - 5\/3*m**3 + 0*m**s. Let k(y) = 2*y. Give k(j(l)).\nAnswer: -10*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 2, j: 14}. What is prob of picking 1 v and 1 j?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-180)*4)\/(-1))\/((-1)\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*y - 96 + 12 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11161685 divided by -4?\nAnswer: 11161685\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1184, -1496, -1782, -2030, -2228, -2364?\nAnswer: -2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4678925122.\nAnswer: 2, 3001, 779561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32712, -31204, -29696?\n\"Answer: 1508*v - 34220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, v: 1, h: 2, j: 1, d: 1, y: 1}. Give prob of sequence hyjd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 15*t**2 - 11*t + 47. Let a be q(-14). Is (-6 - (-5993 - -6))\/(1\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, c: 12}. What is prob of picking 3 n?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 6 - 1 = 0. Let z(g) = g**2 + 9*g + 8. Let q be z(w). Is (-46)\/(-2*(-3)\/q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130198429 to the nearest integer?\nAnswer: 11410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**4 - 1005*w**3 - 1015*w**2 + 1005*w + 1010 = 0.\nAnswer: -1, 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 59 - 2 = q, -3*q - 3*m = -162. Suppose -2*u = -q - 39. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhh. Give prob of picking 4 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87, 179, 289, 423, 587?\n\"Answer: l**3 + 3*l**2 + 76*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 2:59 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*x - 1, n + 4 = -4*x + 5*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69229199 or 69229202?\nAnswer: 69229199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 9*l**2 - 21*l + 7. Calculate k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-19) + (-189)\/(-532)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2107 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39.46 and -0.0574.\nAnswer: -2.265004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 135408 and 1545635?\nAnswer: 2299904880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkkh when four letters picked without replacement from fkkfiikqfkkekkhkfeif.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - -4) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 286\/765 + 6\/85. Which is the second smallest value? (a) j (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.6 + 63?\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30032 (base 5) to base 16.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878881 is divided by 541?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 118920780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**4 - 10915925*a - 15350419?\nAnswer: -4*a**3 - 10915925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77127383 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7980*a - 2664*a - 45*a**3 - 2662*a - 2654*a.\nAnswer: -45*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 543967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*d + 2 - 6, -4*r = -3*d + 16. Suppose 3*c + 4 + 2 = d. Let l = -5 + 3. Do l and c have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.527 years in millennia?\nAnswer: 0.522527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Suppose -d*i + 4 = -i. Suppose z = 2*z - i. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 1. Let m = 37 + -38. Let w(s) = 5*s**3 - 1. What is m*w(j) - 4*p(j)?\nAnswer: -j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/94 and 41\/1739?\nAnswer: 3478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u**2 + u - 2. Let c be k(1). Let m(r) be the second derivative of r**5\/20 + 5*r**4\/6 - 7*r**3\/3 - 7*r**2 - r. Is m(c) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 - 3*p**2 + 2*p - 2. Let b(u) = -u**2 - 2 + 2*u + 0 + 3*u**2 + 0*u. Let i(s) = -s - 9. Let w be i(-7). Let l be b(w). Calculate x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 11*s**2 + 11*s + 12. Suppose -y = 0, y + 24 = 2*d - 4*y. Let z be r(d). Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 266.26859.\nAnswer: 26.626859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrxxxrrrrrrbbx. What is prob of sequence xr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 p when three letters picked without replacement from nnynrfpprnffnrppfnrp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/(-6) + -2)\/((-4)\/(-6)). Let c(n) = 2*n**2 - 7*n**2 + n**z - 3*n**2. Let i(j) = -6*j**2. Determine i(c(p)).\nAnswer: -294*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 - k - 1. Let i(p) = p**2 + 5*p + 4. Let g be i(-3). Let r(n) = n**3 - 5*n**2 + 6*n + 14. Let u(b) = g*f(b) - r(b). Factor u(h).\nAnswer: (h - 2)*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) + -2 + sqrt(3888) + sqrt(3888) + (1 + sqrt(48) - sqrt(48) - sqrt(48)) + sqrt(48) + -2)**2.\nAnswer: -648*sqrt(3) + 35001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591853195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 24*i + 19. Is d(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -134788960 to the nearest one hundred thousand.\nAnswer: -134800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n + 4*n + 8*n + 9*n - 6*n - 6*n + (9 - 4 + 0)*(-2*n + 0*n - 2*n).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3225*s**4 - 48*s - 7*s**3 + 28*s - 38*s - 3218*s**4 as o*s**4 + t + z*s**2 + n*s + v*s**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -806*u + 402*u + 402*u. Let j(i) = i**2 - 10*i. Let s(v) = j(v) - 5*r(v). Let m(t) = -182*t**2. Calculate s(m(z)).\nAnswer: 33124*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * 12066\nAnswer: 1689.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.7 - 8. Let a = f - 0.2. Let p = 0.4 + 0.1. What is the closest to 0.2 in a, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -19. Let b be m\/14 + 1\/(-21)*-69. Solve 2*x + b = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 260 - 254 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -264*r - 1054. Let i be v(-4). Solve -h = -i*n + 6 - 19, 4 = -n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3682 and 360374.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3 + 80*p**2 - 658*p + 580 = 0. Calculate p.\nAnswer: 1, 10, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 15. Which is the nearest to 2? (a) j (b) -1\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((8\/6)\/2)\/((-11)\/(-99)). Is 10 a factor of 1 - 1800\/(-2 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewiieewwwiewe. What is prob of picking 3 w?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/10)\/(2\/(-30)). Let q(d) = -d**3 + 21*d + 2. Let h be q(-7). What is the highest common factor of h and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(567) + sqrt(567) - (-1 + sqrt(567))**2.\nAnswer: -568 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g - 4 = 0. Solve -g*w + 0*w - 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 12 = 4*d. Let x = 175 - d. Let u = 364 - x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37153 and 1824002.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.385156 and -0.5?\nAnswer: 15.692578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 25*d - 11. Give l(3).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 18 = o, 7*o - 19 = -5*t + 11*o. Solve 2*m - 3*u - 22 = 0, -m + 2*m + 3*u + t = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -900350 to the nearest 10000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.1. Let w = a + 0.00175. What is w rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*s - 12. Suppose -17*k = -s*k - 156. What is the greatest common divisor of 224 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8902744.\nAnswer: 2, 179, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6467 or -6477?\nAnswer: -6467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or 0.13304?\nAnswer: 0.13304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*r + 46 = -5*r, -2*s - 34 = 5*r. Let h = s + 12. Suppose 8 = m + 5*f, -5*m - f + 40 = -h*f. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - 2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171219863 + -171219796.0000936. Let j = -6 + 73. Let d = j - a. What is d rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 53*g**2 + 684*g + 54. Give o(-31).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 32\/12)\/((-12)\/936). Suppose 9 = -3*i - g + 169, 3*i - 140 = 4*g. What is the highest common divisor of i and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/8 - (-1530)\/1224.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -174*d - 4. Let c(w) = 19*w + 1. Let i(u) = 8*c(u) + s(u). Let n(f) = -23*f + 5. Give -3*i(j) + 2*n(j).\nAnswer: 20*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/12)\/((-4)\/6). Suppose 3 = -m*v + 11. Solve 4*o + 5*q = -7, 17 = -0*o + v*o - 3*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4644 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*j + 108550, 10 = -17*h + 22*h. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnrnonnnnnyyyyyryn. What is prob of sequence on?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 1 - 21. Let o(v) = -8 + 21*v**2 - 4 + w. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144381 is divided by 188.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = n + 443 - 456, -3*n - 1 = 5*j. Let y(i) be the second derivative of -7*i + 0 + 2*i**2 - 19\/6*i**n. Let m(c) = 9*c - 2. What is -9*m(p) - 4*y(p)?\nAnswer: -5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-634.4.\nAnswer: 1268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000061617574 rounded to seven decimal places?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + y**3 + 0*y**2 + (1 - 2*y - 1)*(-4*y**2 + 5*y**2 - 3*y**2) + (0*y - 2 + 1 - y)*(0*y - 2*y + y)*(15*y - 15*y + 15*y).\nAnswer: 20*y**3 + 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 20. Let n be (17 - 15)*2\/(2 - z). Solve 5*u = -k - 10, -k = -n*u + 1 - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - v + 2 + 3*v - 4*v + 3*v + (1 - 1 - v)*(4 + 2 - 4) + v - v - 2*v + 2*v + 3*v - 3*v)*(-2 + 2 - 2*v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b + 98. Give d(21).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/8*((-148)\/(-12) + -12)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -63*y - 18. Let n be g(-10). Let t = -100 - n. Let u = -1042 - t. What is u rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, a: 3, k: 2}. Give prob of sequence ky.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 4*v + v**2 - 2*v. Suppose -x + 11*q = -108, -7*q + 2*q = 5*x + 60. Let r(s) = 10*s**2 + 11*s - 1. Determine x*r(j) + 18*p(j).\nAnswer: -2*j**2 - 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 25. Let q = k + -12.00015. Round q to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**2 - 33*y - 62. Determine v(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 84 = -12. Suppose s*r - 200 = -44. Calculate the greatest common divisor of 208 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:05 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -21*f - 0*f. Solve g - 5 = -2*z, 5*z = -5*g - 0*g + f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1283, -5141, -11569, -20567, -32135, -46273, -62981?\nAnswer: -82259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98292381529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**6\/120 - m**5\/10 + 4*m**3\/3 - 2*m**2. Let j be x(6). Solve -3*r = -1 - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) -2\/17 (b) -4 (c) -2\/5 (d) 0.1 (e) -293\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {k: 9, a: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 6*b. Let j(g) = 27*g**2. What is j(v(l))?\nAnswer: 243*l**4 + 972*l**3 + 972*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7418 and 5?\nAnswer: 37090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -74*w - 7770. Let o(v) = -247*v - 23311. Determine 10*a(x) - 3*o(x).\nAnswer: x - 7767","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22249 smaller than 22248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-1 + 5\/4). Let s be 0 + -2 - (-9 + d). What is the units digit of (-304)\/(-4) + s\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -95?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -29. Is (-2 + 3)\/((-1)\/r) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 136*s**2 - 278*s + 1375. Determine w(134).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.146 - 0.436. Let f = s - 0.21. What is the second smallest value in f, -2\/19, -6\/11, 45?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16173019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13808402 and 3914?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -13610*c**2 - 13591*c**2 + 27227*c**2. Let a(m) = -2*m**2 - 9. Give g(a(z)).\nAnswer: 104*z**4 + 936*z**2 + 2106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -5559\nAnswer: -5003.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -20*p**2 + 128*p - 250. Give d(2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.23 + 0.23. Let a(k) be the first derivative of -k**3\/3 - k**2 - k + 1. Let w be a(-2). What is the third biggest value in u, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 2\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(1008)) + 2)**2.\nAnswer: -72*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - l. Let p(c) be the first derivative of 3*c**3 + 5*c**2\/2 + 3*c - 285. What is 5*h(b) + p(b)?\nAnswer: 4*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -8) + (-1 - 3). Let f(b) be the third derivative of b**5\/15 + b**4\/24 - 11*b**2. Let k be f(v). Solve -5 = -k*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.005 (c) 18 (d) -2\/9 (e) -0.5 (f) -13\/5 (g) -14\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 33 + 3 + 10*a**2 as g*a**2 + x + t*a and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000935768 to 6 decimal places.\nAnswer: 0.000936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 1. Let s(g) = 10*g**2 + 20*g + 20. Let j(d) = s(d) + 20*x(d). Let p(y) = -y**2. What is j(p(u))?\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 29 = -7. What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 58. Suppose l = 4*r - 1. Solve -5*q = -r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 3*w - 36 = 14*m + w, -3*w + 7 + 18 + 11 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 z when four letters picked without replacement from {n: 2, z: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.928646101 rounded to two decimal places?\nAnswer: 5.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/24 + w**5\/12 - 5*w**4\/24 - 5*w**3\/6 + 12*w**2. Factor k(g).\nAnswer: 5*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6901*t + 6904*t + 39 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 736 = 9*i - i. Suppose 5*l - 373 - i = -u, 0 = -l + u + 99. List the prime factors of l.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/((-50)\/4) + (-111)\/(-185). Let o = 31 + -17. Let s be (-4)\/o + 46\/63. Which is the third biggest value? (a) 2 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*r + 88*r - 191*r + 456 = 0. What is the highest common divisor of 8292 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 5:38 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 70.81677 nanoseconds?\nAnswer: 0.00007081677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -941235.436 plus -0.053?\nAnswer: -941235.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 a, and 1 y when three letters picked without replacement from yyyjaqayy?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17989665\/11 - -41178830177\/25179. Let j = -6\/763 + n. Calculate the common denominator of (-2)\/8 + (-382)\/(-24) and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 26 = 3*u, 4*u + 2*q - 58 = -14 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 203643108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(4)*5 + (-6*sqrt(50)*3 - sqrt(50)))\/(sqrt(490) + -2*-1*sqrt(490) + sqrt(490) + 6*(sqrt(490)*-1 - sqrt(490))))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5313 by -2610.\nAnswer: 1771\/870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/120 + c**5\/15 - c**4\/6 + c**3\/2 + 3*c**2. Let v be y(3). Put 2, v, 5 in increasing order.\nAnswer: v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-9))\/(50\/(-45)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10763410 (base 8) in base 11?\nAnswer: 1367854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Suppose 2*b = -5*j, w*j + 2*b = -0*j. Solve -f = f - r + 2, 4*f - 3*r = j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 6. Let v be t(5). Let j = 0 - v. Find the first derivative of 2*h - 2*h + 2*h**j + h**4 - 1 wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129 - -128.9. Which is the second biggest value? (a) -1.1 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -2 + (5 - 4) + 198 + -192?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.8, -1\/3, 2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -1347*l**2 + 1401*l - 54 = 0.\nAnswer: 18\/449, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:49 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*w = -2*z - 14, -2*z - 14 = -2*w. Is (21\/6)\/z*-170 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - w - 2. Let h be i(-3). Let k = h + -6. Let n(v) = v**2 - 2*v + 2. What are the prime factors of n(k)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57371761 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, h: 8, x: 8}. Give prob of picking 1 x and 1 h.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 (base 9) in base 4?\nAnswer: 12203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 9, u: 4, k: 2}. What is prob of sequence ukdd?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -702 > -572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (1*sqrt(300) + -4 - sqrt(300) - sqrt(300))) + sqrt(300))**2*-6.\nAnswer: -16296 - 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 48*o**2. Let g(n) = 3185*n. Determine g(s(a)).\nAnswer: 152880*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 141*q**2 - q. Let x(t) be the second derivative of t**4\/4 + 193*t + 2. Give p(x(w)).\nAnswer: 1269*w**4 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 15. Suppose -44 + b = -9*k. Sort k, 15, -2 in ascending order.\nAnswer: -2, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 41. Let j(b) = 8*b**q + 6 - 6 - 9*b**2. Let o(p) = -3*p**2. What is o(j(i))?\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(525)*-2 - sqrt(21))\/(-5*1*sqrt(3)))**2 + 3 - (sqrt(56)\/((sqrt(64) - sqrt(64)*2)\/sqrt(8)) - (5 + sqrt(112) + 3)**2).\nAnswer: 65*sqrt(7) + 5322\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2371.2, -2\/13, 2, 4, -4\/7, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2378288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0434 + 0.4474. Let i = c + 1.596. Let u = 0.7 - 0.5. What is the fourth biggest value in u, 4, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1447571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -9833?\nAnswer: 2949.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -12, 19, 88, 207?\n\"Answer: 2*n**3 + n**2 - 12*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010000010 - -101110000001111101?\nAnswer: 101101100111111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) -0.2 (c) -338 (d) 3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493114, -493116, -493118?\nAnswer: -493120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7470 and 540.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 5\/2*z**2 + 23 + 16*z - 11\/6*z**4 + 0*z**3. Let u(g) be the first derivative of f(g). What is the derivative of u(b) wrt b?\nAnswer: -44*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {l: 1, j: 1, z: 2, y: 1, v: 1, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 8*p**2 - p + 4. Let r be z(6). Let s = r - -211. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -2, 1 in ascending order.\nAnswer: -7, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3227.6811668 and 0.22.\nAnswer: 3227.9011668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 270*o - 3379. Give q(13).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2*q + 23*d*o**2 + 2*d*o*q - 6*d - 2*o**2 + 62*o*q - 3*o wrt d?\nAnswer: -2*d*q + 23*o**2 + 2*o*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/123789289?\nAnswer: 1\/123789289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 2197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(-9)*q)*q*q**(3\/8)*(q**(-2\/3))**(-20\/13) assuming q is positive.\nAnswer: q**(3245\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and 822026.\nAnswer: 180845.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnzn when four letters picked without replacement from zzznzzzznznzzznzzzn.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/2970 and 113\/610.\nAnswer: 181170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 25 = -16. Which is the third smallest value? (a) -0.4 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 3, 0.3, -4, 1.99504?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/19 or 68\/905?\nAnswer: 68\/905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 7*o = 5952. Suppose -4*s + 212 = -2*f, -2*f - f = 4*s - o. Suppose 0 = 4*a - 3*y - 196, 2*a = -3*y + 4*y + 100. Is a greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1447 (base 13) to base 11.\nAnswer: -2226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 142 - 142 - 2*r**2. Let h(y) = 2*y. Calculate h(s(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**7\/56 - k**6\/30 + k**5\/10 + 3*k**4\/8 + 11*k**3\/24 + k**2\/4 + 3*k. What is s in f(s) = 0?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*-20*(-1542)\/9. Let f(l) = 10280 - a + 2*l**2. Let m(n) be the second derivative of 2*n**3\/3 + n. What is m(f(j))?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002361 rounded to five dps?\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45667683.0961 and 4?\nAnswer: 45667679.0961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0*(-7 + (-516)\/(-72)))\/(-7). Let f(y) be the second derivative of 0*y**3 + 0*y**4 + c - 10*y + 0*y**5 + 9*y**2 - 7\/15*y**6. Differentiate f(v) wrt v.\nAnswer: -56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f**2 + 2*f + 5. Let m(l) = -l**2 + 3*l - 4. Let a be m(2). Let q = 24 + -3. What is the remainder when h(a) is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 13.2. Let v = 3.9 - i. What is the nearest to -1 in 6, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1320 - 304*l - 1320 as x + s*l and give s.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3303 - 3302.9. What is the closest to 1 in 174, h, 3, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.022, -6903, -4\/3 in decreasing order.\nAnswer: 0.022, -4\/3, -6903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148*x - 28*x + 197*x + 4*x)*(0 + 4 - 2).\nAnswer: 642*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:44 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 53259?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 5*m - 1 + 3*m + 3*m. Let o(k) = 2*k**2 - 5*k - 4. Calculate -5*l(f) + o(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 626388 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86\/267 + 1\/89. What is the nearest to w in -2, -24, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -6500.\nAnswer: -11\/3250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 220101?\nAnswer: 220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-10) + 15\/2. Solve 5*i + 11 = i + m, -3*i = 4*m - n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*c + 390*c = 6042504. What are the prime factors of c?\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -5) + (-70 - (-35 - 20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 369578 and 256?\nAnswer: 47305984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 46. Let v = w + -11. Let k = -3 - -2.99. Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**19\/d)\/d)\/(d\/d**9)*d**(-25)\/d**(-2\/91) assuming d is positive.\nAnswer: d**(2\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 44484*y - 22245*y - 22240*y + 5206 as z*y + m and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -14*y. Let x(n) = 15*n + 1. Calculate -5*j(g) - 4*x(g).\nAnswer: 10*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.3, 5, -61, -0.8, -0.59?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 4\/3442043 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1898, -1, 12, -54 in decreasing order.\nAnswer: 12, 1, -1, -54, -1898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 391*m. Let x(v) = -5*v**2. Calculate x(o(j)).\nAnswer: -764405*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2)*(-1 - -2). Is 5\/6 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*u - 9, 2*u - 1 = -4*y + 11. Let v be 9\/2*2\/y. Suppose 0*n - 3*b = -v*n + 33, b + 56 = 4*n. Solve 5*h = h, -5*h + n = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -5 (c) 0.3 (d) -10\/131 (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 10 = 10*r. Let q be (r\/(135\/12))\/(4\/12). Factor -2\/3*m - q*m**2 + 0 - 2\/3*m**3.\nAnswer: -2*m*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 326 - 1632\/5. What is the biggest value in -3\/23, x, -2, -2\/3?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6133811689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538.73 - -1526166?\nAnswer: 1529704.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(33)\/(sqrt(216)\/sqrt(8) + sqrt(3) + sqrt(3) - sqrt(3)))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**4\/12 + o**3\/6 - 237*o**2. Let p(c) = 237*c - 231. Let z(h) = 4*k(h) + p(h). What is the first derivative of z(i) wrt i?\nAnswer: 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 28 = 3*f. Let p(t) = -t + 24. Let m be p(f). Suppose -2*n + m = -85. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (35 - 33)*(-2)\/(-4). Suppose 5*a - 8 = -4*d, 4*d + d = -15. Put t, -2, 6, a in descending order.\nAnswer: 6, a, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 193174 + -1?\nAnswer: 193173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d**2 + 9*d - 5. What is the remainder when 109 is divided by s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2*x - 3 + 8.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -4*u, -3*u + 33 = -10*j + 7*j. Which is the closest to 0? (a) -0.2 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 71. Is -3\/1670 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**3 - r**2 - 4*r - 3. Let k be t(-1). Let s = 33 - 30. Let g be (s - k)*-4 + 1. What is the highest common factor of g and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + -2 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Is 476\/8 - 1\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - -12. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 469, 856, 1173, 1432, 1645, 1824?\n\"Answer: 2*a**3 - 47*a**2 + 514*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75173419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 5293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v**2 + 2*v**2 - 4*v**2 + (2*v + 2*v - 3*v)*(-12*v - 8*v + 175*v + 2*v - 5 + 5 - 4*v + 5*v - 3*v + (2 + 1 - 4)*(-v + 4*v - v) - v + 0*v + 0*v).\nAnswer: 158*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9 + 0 + 3*g**2 + 9 + g**3 - 22. Suppose t - 2*y + 13 = 0, 2*t - 5*y + 8 + 23 = 0. Determine m(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4639*f - 4639*f + 22*f**3.\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -700343 and 12.\nAnswer: -700331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(0 + 0 - 2)*(49*m**3 + 1686*m - 1686*m + 2 + 2*m**2).\nAnswer: -196*m**3 - 8*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/255780 and 54\/49735?\nAnswer: 1790460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1098*n**2 - 129*n**2 + 20*n**2. Let z(m) = m. Determine z(p(g)).\nAnswer: 989*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 11:10 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 114 + -59. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 3 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -52*f**2 - f + 16. Let m be w(3). Let q = m - -454. Is 37 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/14589 and -11\/13329?\nAnswer: 21606309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 13 - 25 + 34*s.\nAnswer: 34*s + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m = 0. Find the common denominator of 17\/7 and -3 - (5\/(-11) + m).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-3 - (28 + -20)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101\/35 - -16\/7. Which is the closest to 0? (a) 0.5 (b) 3\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6248 and 244808?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11760562308558 + -0.07.\nAnswer: -11760562308558.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-14) + 1772\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4617398\/99 - 46640. What is the common denominator of o and -12\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2519*l - 1598*l - 39603 = 0 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31968362?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 1.02, -2\/15, -0.2, 3, -217?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 3}. Give prob of picking 1 z and 1 a.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -1, 34.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 10:56 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33568, -133902, -301006, -534880, -835524, -1202938?\n\"Answer: -33385*t**2 - 179*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0152 - 0.5882. Let h = 0.773 + l. Sort -4, h, -0.5, 115.\nAnswer: -4, -0.5, h, 115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 3*o**2 - 2*o + 1. Let s be d(2). Let v = s + 22. Calculate the highest common divisor of 150 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35710?\nAnswer: 2, 5, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000179832841 rounded to seven dps?\nAnswer: -0.0001798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27790, -28987, -30184, -31381?\n\"Answer: -1197*p - 26593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {v: 1, y: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3483 (base 9) to base 10.\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -297. Which is the second smallest value? (a) -0.2 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1023112 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1300) + 1)*6 - (-4*(sqrt(117) - 2*sqrt(117)) - sqrt(117))\/(sqrt(1008)\/sqrt(7)).\nAnswer: 30 + 1197*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**3\/5 + 897*y**2\/10 + 1294. Factor r(m).\nAnswer: -3*m*(m - 299)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871100269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/116*32\/(-168)*1120\/(-320)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 53*z**2 + 2*z + 164. Give n(-53).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 624 divided by -2.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s**2 + 8*s. Let f(g) = -11*g**2 - 9*g. Let n(w) = -5*f(w) - 4*l(w). What is the second derivative of n(v) wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 322 or 323?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**6\/6 - 7*u**5\/10 + u**4\/4 + 10*u**3\/3 - 2*u**2 - 3*u. Find a such that v(a) = 0.\nAnswer: -2, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (186\/1147)\/(120\/(-2960)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 4*n**2 - 3*n. Let z be j(-3). Suppose z*r = -4*r + 20. Let y(q) = 25*q**2 + 6*q + 7. Is y(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -174*u**2 - 596*u - 510. Determine d(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(1331) + 3))**2.\nAnswer: 2112*sqrt(11) + 85328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2628.2 + -2628. What is the nearest to -2 in o, -83, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3 - 1. Suppose -2*n - 5*k = 289, p = -k + 4. Let l = -66 - n. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471427549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 3 - 45 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:06 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/10 + 19\/(-19). Let b = 4.6 - 3.8. Let d = -0.8 + b. Sort g, -0.03, d in descending order.\nAnswer: d, -0.03, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 1741*w**5\/10 - 10657*w**3\/6 - 7975*w - 1. What is the second derivative of s(v) wrt v?\nAnswer: 20892*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318294 is divided by 2767?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5 - 2*w**4 - 9*w**3 + 12*w**2 - 4*w = 0. What is w?\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4868 is divided by 1204?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3797734 is divided by 21216.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2720610 by 2.\nAnswer: 1360305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15))**40*(h**(-10)\/h)\/h**(-12) assuming h is positive.\nAnswer: h**(-599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 263*j + 12 - 41 - 649*j - 605*j. Let y be f(-14). Suppose v + y = 2*h + 3*h, -v = -5. What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 2055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/8 and ((-24)\/(-64))\/(27\/708)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26287.49 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 84048904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -371 - -7?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 5*o**2 + 4*o**2)*(-o + o - o**3) - 19228*o**4 - 476*o**5 + 19228*o**4 + (o + 0*o - 2*o)*(2*o**4 + o**4 - 2*o**4).\nAnswer: -476*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010808 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10628364391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0838533nm?\nAnswer: 0.00000000838533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-4)*(17 + -3))\/(-1). Suppose d*f - 255 = 2*f. Let a = f + -41. Solve a = 5*w + 2*g - 18, 8 = 2*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209723, 209726, 209729, 209732?\nAnswer: 209735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2006*q - 6942 = -308*q. Factor -4\/7 - 1\/7*c**q + 3\/7*c**2 + 0*c.\nAnswer: -(c - 2)**2*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 80) + 19 - (-6 - -1 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Suppose -5 = -z*o - 2. Suppose 0*n = -n + 3*c, 5*c - o = 2*n. Sort n, 5, 2 in ascending order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -0.2. Let a = y - 27.4. Let h = 28.0022 + a. What is h rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 plus -0.1?\nAnswer: 119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 2*m**2 + 4*m - 2. Let u be r(2). Let v be 4 + 276\/(-60)*(0 + -5). Let q = v - u. Solve -q = 3*n + s - 2, -13 = 5*n - 3*s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -733 - -733.02715. What is s rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 5*a + 3*a**2 + 3*a**2 + 0*a.\nAnswer: a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 186*-10*12\/(-10) + -5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1267, 2\/11, -0.54, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*c - 5*o, -9 = -2*c - 5*o + 8. Sort 3, 4\/5, c, 0.4 in ascending order.\nAnswer: 0.4, 4\/5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y*y**(-8)*y*y))\/(y*y**(-2)))\/(y**(-3\/5)\/(y*y**(-9)*y)))**(-4))**(47\/3) assuming y is positive.\nAnswer: y**(-188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2794\/(-936)) + -3. Let z = -5\/36 + a. Is -1 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 4, k: 1, n: 2}. What is prob of picking 1 d and 1 f?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1453397 and 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eem when three letters picked without replacement from meemmeeeeveme.\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-1\/8)*x))\/x**2*(x**(1\/3)*x)**20 assuming x is positive.\nAnswer: x**(595\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367783 is divided by 73.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594 divided by -1212.\nAnswer: 99\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 282.1 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 14) to base 11.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1200 + 1197. Let u(o) = -1. Let y(k) = k + 2. Let z(q) = -u(q) - y(q). Let x be z(i). Let l(t) = -2*t**2 + 3*t - 1. Give l(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1, 7, 138?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 0*b**2 + 7*b**2 - 2*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/72 and -119\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15634526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 55*z - 36*z - 21)*(z**2 - z - 5 + 5).\nAnswer: 18*z**3 - 39*z**2 + 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192276*q + 57232 = 193060*q for q.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 2 - 6)*-1. Put -2, -3, -5, z in descending order.\nAnswer: z, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/154)\/((-4557)\/2387)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 6:30 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*q - 90227 - 1344417 = 0. List the prime factors of q.\nAnswer: 2, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 9 = -4*k. Let n(u) = -1 + 38*u**2 + 3 - 2. List the prime factors of n(k).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 161601, 2 in decreasing order.\nAnswer: 161601, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 9*x**2 - 9. What is the tens digit of o(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 5*q**2 + q - 1. Let v(d) = -3*d**3 - 10*d**2 + d - 3. Let z(b) = -5*g(b) + 2*v(b). Calculate z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362.6127 millennia in years?\nAnswer: 362612.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22546352051356 - 22546372675538.500093. Let b = 20624198 + r. Let h = -15.5 + b. What is h rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69864*b - 2*r = -69866*b + 18, 9*r - 9 = 0 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/(r\/(r\/(r*r\/(r\/(r*r**(-1\/3)))))))\/r)\/r*r)\/((r*r**(2\/27)*r)\/r*r))\/(r*(r**8*r*r*r)\/r*r\/(r*r**(-1\/13))))**(1\/53) assuming r is positive.\nAnswer: r**(-5201\/18603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16064 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92026261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) 2\/5 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14621.66 millilitres to litres.\nAnswer: 14.62166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 100. Let d = q - -8. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 + f**3 + 99 + 147.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/((-408)\/12))\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 8:40 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20755 - 20656. Suppose -h + 4*h = -4*o + 3, -h + 17 = -4*o. Suppose 0 = -h*k + 4*k + 11. Calculate the highest common factor of k and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 + -0.32. Let z = -0.03 + x. Let g be (0\/(-2)*-1)\/2. What is the nearest to g in z, 0.3, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v. Let d be (-3 + (-35)\/(-10))*v. Suppose d = -3*l - 13 + 7. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 9*w + 25. Let r(o) = 13*o**2 + 17*o + 49. Let a(i) = -11*j(i) + 6*r(i). Is a(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m**2 - 3*m**2 - m**3)*(2 - 4 + 4) + 21*m**3 - 48*m**3 + 7*m**3)*(3*m - 3*m + 5*m**2).\nAnswer: -110*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4)*z*z**(-11)*z**12*z*z**(2\/21) assuming z is positive.\nAnswer: z**(-19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20240256 divided by 6.\nAnswer: -3373376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/((-1200)\/(-14560)*-28)?\nAnswer: -52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 173 divided by -3\nAnswer: -173\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -1\/7, -0.8, 286, 0.01, 1\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -43, -65, -105, -169, -263, -393, -565?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4227 = -3*a, 1344 = a - 5*s - 69. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8917 - 859 + 532)*(3*a**5 - 5*a**5 + a**5).\nAnswer: -8590*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and 13.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 150, -4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -28, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2624)\/2816 - (-4)\/22.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from xqxqxxqqqqqqxqqqqqx?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 12:56 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*v**2 + 2079*v - 108*v**4 - 2075*v + 4 - 4 + 109*v**4 in the form i + h*v**3 + w*v**4 + y*v + p*v**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12349 take away -113385?\nAnswer: 101036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 2}. Give prob of picking 1 k and 2 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:40 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000284 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 64?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(sqrt(132)*-3*-3 + sqrt(132)))\/(-1*((sqrt(12)*3 + sqrt(12))*-6 - sqrt(12))).\nAnswer: -2 + 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36.2 from -678.6.\nAnswer: -714.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven tenths of a micrometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*f = a + 19, 2*f = a - 1. Solve -6*n + 3*n - 2*s = -1, 0 = -s + a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iix when three letters picked without replacement from {x: 17, i: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.044117um in centimeters?\nAnswer: 0.0008044117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2622*o + 2218*o + 808 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -2\/3*i**3 - 9*i**2 + 0 - 1\/3*i**4 + 0*i - 1\/15*i**5. Solve l(n) = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 22660.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -21 + -1 + (884 - 867).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -5*s**3\/6 + 901*s**2\/2 - 360*s + 1180. Suppose o(q) = 0. What is q?\nAnswer: 2\/5, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10)*(-7 - -5) + (-1100)\/250.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omy when three letters picked without replacement from oomy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 35. Let b(f) = 7*f - 19. Let a be b(d). What is the highest common divisor of a and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 0. Let l = m + -11. Let g = l - 27. Sort 0.2, g, -2.\nAnswer: g, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 11*y**2 + 14*y + 2. Let s = 3 + 7. Let l be o(s). Suppose -2*i - 5*i = -l. Solve -i*x - 5 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64.0000102 - 64. Round m to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 6, f: 4}. What is prob of sequence pp?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*i - 1545 = -363. Let r(j) = 39*j + 227. Give r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40889, -40841, -40797, -40757, -40721, -40689, -40661?\n\"Answer: -2*b**2 + 54*b - 40941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-21 - (-2 - 8))) + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2\/7*r**3 + 78\/7*r**2 + 82\/7 + 162\/7*r = 0.\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4140 + 4387. What is the remainder when n is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6 - 0. What is v in -3*v + 0*v**n + v**3 - 2 + 0*v = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -13*i**5\/20 - i**4\/8 - i**3\/2 + 1510*i**2. Let p(f) = -351*f**2 - 26*f - 26. What is 3*p(s) - 26*t(s)?\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7177907503 minus -0.2?\nAnswer: -7177907502.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -335\/8. Which is the second biggest value? (a) -133 (b) -1 (c) s (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, g: 4, f: 2, y: 1}. What is prob of picking 3 s?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8408600309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*h - 14. Calculate the remainder when 15 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -122?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 153526397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1146, -8112, -19730, -36006, -56946, -82556?\nAnswer: -112842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*b = 2*b + 42, 0 = 4*a + b - 99. Solve -6*l = -2*x - 2*l - a, 28 = -x + 5*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*l = -4*g + 879*l + 5234, 11*g - l - 1 = 8*g + 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-35))\/((-70)\/(-25))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -5 (c) 0.4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 + a + 1. Let z(h) = -h**3 - 2*h - 3. Let b(s) = s**3 - 2*s - 2. Let v be b(2). Calculate v*u(p) + z(p).\nAnswer: p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*o = 3, 2 + 0 = 2*o. Is k <= -3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7686907 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 51.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6776.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-3)*3 + 6 + -8. What is the greatest common factor of 333 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 568061984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/15 - -13\/30. Let s(o) be the second derivative of -o + 0*o**3 + 0*o**2 - p*o**4 + 0. Let h(q) = -q**2. Determine h(s(l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 17472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1812 + 1833. Solve 5*s = -3*l, -4*s = -2*s - 3*l + p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by (-369)\/(-15) + 9\/(-15) + (28 - 29).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eplllii. Give prob of picking 1 l, 1 e, and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqq. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/19 + 22038608*q\/19 - 22038606\/19.\nAnswer: -2*(q - 11019303)*(q - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w = -18*w - 11900. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 78*v**2 - 78*v**2 + 160749 - 2*v**3.\nAnswer: -2*v**3 + 5*v + 160749","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4025 = -k + 5*n, -k + 4898 = 2*n + 908. Let b = 46800 + k. What is b rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*w - 5 + 26*w + 3 - 6*w.\nAnswer: 37*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 3*c - 5 + 15 = -46*b + 133, 0 = -b + 3*c + 85 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 192758?\nAnswer: 963790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 4*g - 1. Let c be d(3). Let q be c\/(-10)*15\/(-3). Let u = 6830 + -6829.9. What is the closest to -1 in u, q, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*k - 1 = 0, -4*k = 24*o - 19*o - 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 539055 and 729?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*b - 51, 0 = -5*a - b - b + 167. Suppose 0 = a*t - 105781 - 106704. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuouuuouuoouuu. Give prob of picking 2 o.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181 + -179. Suppose 0 = m*g - 6*t + 4*t + 24, 2*g + 4 = -2*t. Which is smaller: 0.3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 12469675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -31. Suppose u - 40 + 35 = 0. Solve -k + v = -5, w*k + u = -4*v - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0, 49077, -5, -3 in descending order.\nAnswer: 49077, 5, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*p**4 - 10672*p - 965224 wrt p?\nAnswer: -144*p**3 - 10672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g - 50. Calculate the least common multiple of 25 and p(-5).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81)\/(-108)*2*2*1. Find the third derivative of 15*v**2 - 398 + 0*v**5 - h*v**4 + 9*v**5 + 401 wrt v.\nAnswer: 540*v**2 - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 134. Let k(h) = -3*h**2. Give k(w(f)).\nAnswer: -3*f**2 - 804*f - 53868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 22 (c) -6 (d) 18 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383638315.\nAnswer: 5, 67, 1145189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131.9 - 13.3. What is z rounded to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 4*q**2 - 1. Let z(n) be the first derivative of 29*n**3\/3 + 98231. Calculate m(z(y)).\nAnswer: 232*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.082549 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1716234 by -66009.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 104754303*j + 104754306.\nAnswer: -3*(j - 34918102)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -340?\nAnswer: 33f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113112 (base 4) to base 8.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p - p**3)*(-p + 1 - 1)*(239 - 466 + 229 + 2222*p).\nAnswer: 2222*p**5 + 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -19 + 0*o**2 + o**3 + 0*o - 7*o**2 + 5 + 9*o. Let l be r(6). Suppose t = 4*y + 67, 2*y + 2 + l = 0. Calculate the highest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5 - 15 = -4*f, f = -v - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6350617371 to the power of 1\/2, to the nearest integer?\nAnswer: 79691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5*s + 305, 0 = -4*g + 2*s + 125 + 125. Let y = g - 249\/4. Which is the nearest to y? (a) 0.2 (b) 1\/10 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -25*k - 43. Determine j(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.8 + -15.5. Let x = g + -1.4. Let v = -4.9185 + x. What is v rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6823947?\nAnswer: 3, 13, 37, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 2, q: 2, f: 8}. Give prob of picking 2 f.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 5, z: 2, t: 5, p: 1}. Give prob of sequence tz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.95 + -5.61. Which is the third smallest value? (a) 3 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:28 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa9d4 - 2?\nAnswer: aa9d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from ffffzyffyfffd.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 45\nAnswer: -7\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/((-15)\/2))\/(5\/30). Which is the second smallest value? (a) -0.13 (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 8*z**2 - 11*z + 7. Let c = 34 - 43. Give m(c).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6056, -1, 1, -4 in descending order.\nAnswer: 6056, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 3*s - 2*s + (-4 + 3 - 2*s + 6*s)*(-2 + 9 - 1).\nAnswer: 25*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.022, -0.11, 1.78, 4 in increasing order.\nAnswer: -3.022, -0.11, 1.78, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 = 5*y + 33*s, 118 - 34 = 3*y + y - 5*s for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/7 (b) 23 (c) 1 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/279 or 0?\nAnswer: -1\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/9 + 356*y\/9 + 640.\nAnswer: 2*(y + 18)*(y + 160)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/88 and -121\/12?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + 3. Suppose 5*o - 3*c - c = -34, -p = 4*o - 5*c. Let g = o - -8. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and 335533?\nAnswer: 335526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/(-12))\/(-3))\/(93\/930)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 12*p - 2. Calculate the remainder when h(-4) is divided by (-248)\/(-25) + (-120)\/(-1500).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 1371*c**4\/2 - c**3 - 2*c**2 + 5*c - 8. Let q be o(3). Round q to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.064454, 4, -3\/7, 4\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -247442, -248498, -249554?\n\"Answer: -1056*j - 246386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -46, -95, -174, -289, -446, -651, -910?\n\"Answer: -w**3 - 6*w**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + 2*sqrt(170)*1)*-4)\/(sqrt(250)*1 + sqrt(120)\/sqrt(48)).\nAnswer: -24*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 12. Let n be c(-4). What is the tens digit of (-6)\/n*(-1460)\/30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*f. Suppose 2*z = -3*r + 1, 4*z + r = -4*r + f. Solve -t = -2*t - z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/((v**0\/v)\/v)))**(-15)\/(v**1*v**(-6)\/v))\/((v**(1\/2))**(2\/91)*((v\/((v\/(v*v**3))\/v*v))\/v)\/v**1) assuming v is positive.\nAnswer: v**(3093\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2232, -17885, -60358, -143055, -279380?\nAnswer: -482737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2. Let z(o) = 2*o + 1998. What is b(z(n))?\nAnswer: -8*n**2 - 15984*n - 7984008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 39?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-12) + 717\/18. Let j = a - 23. Suppose 180*o - 213*o = -264. What is the remainder when j is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 22*n - 28 = 0. Suppose n*m = -1403 + 5995. Suppose -3*p + 2*r = -111 + 20, 4*r = -5*p + 181. What is the remainder when m is divided by p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 4:54 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3 - 1083*l**2 - 32220*l - 31136 = 0. What is l?\nAnswer: -28, -1, 1112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 36828.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14964 divided by 86\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81\/2*k - 18*k**2 - 21 - 3\/2*k**3 = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 223 - 130)*(-5*h + 2*h + 2*h + (-3 + 1 + 1)*(2*h + h - 2*h) - 4*h + 2*h + h).\nAnswer: -381*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-35)*s*s))\/s*s*s*s*s\/(s\/((s\/(s\/(s*s**(3\/8))))\/s))*(s*s\/s**22)\/(s*(s**35*s)\/s))**(-27) assuming s is positive.\nAnswer: s**(4455\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/13500 + -269957\/580500. Let s = -37\/172 - w. Which is the third biggest value? (a) -0.2 (b) s (c) -2\/17 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, a: 1, s: 1, t: 1}. Give prob of picking 1 l, 1 a, and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 2*w**4 - 2*w + (-3*w + 4*w + w)*(-w**3 - w + w) + 966*w**4 - 567*w**4 - 652*w**4.\nAnswer: -253*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/64)\/(20\/(-160)). Solve 0 = -3*k - 2*k - 4*y + n, 0 = 2*k + 2*y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p + 865 + 815 - 1680 + 6*p - 2*p.\nAnswer: 25*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-7)\/(35\/(-25)))\/((-1)\/(-4))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oon when three letters picked without replacement from {n: 4, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57343384*j + 27225093 wrt j?\nAnswer: -57343384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*s + 244, -k - 2*k + 3*s + 183 = 0. Suppose -65*a = -k*a - 764. List the prime factors of a.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1575 * 4\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Let u(t) = t**3 - t**2 - 2*t + 3. Let y be u(2). Suppose -3*d - 171 = -y*w, 0 = 4*w - 0*d + b*d - 210. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840304878 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 328, 558, 836, 1174, 1584?\n\"Answer: 2*l**3 + 12*l**2 + 180*l + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 35.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-12) - (-13)\/6. Let o be 4*2 - (x - 2 - 2). Suppose -o*v - 122 = -12*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31446588, -31446588, -31446586, -31446582, -31446576, -31446568, -31446558?\nAnswer: -31446546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/4*40\/25. Suppose 0 = -4*q + 5*q + r*w + 5, 3*q = -4*w - 15. Let v(y) = y**3 + 6*y**2 + 2*y - 6. What is the remainder when 17 is divided by v(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let j(d) = -18*d**2 - 3*d - 2. Let h(z) = 35*z**2 + 6*z + 5. Let u(y) = -2*h(y) - 5*j(y). What is n(u(t))?\nAnswer: 20*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 - 39. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + x + 1 = 0, 4*x - 584 = -588 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 6:10 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**3 - 16*p**2 - p + 33. Let n(d) = -3*d**3 - 8*d**2 - d + 17. Let f(z) = -2*i(z) + 5*n(z). What is the units digit of f(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19073 times -71?\nAnswer: 13.54183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + r - 28 = 0, -10 = -0*b - 5*b + 5*r. Suppose -1834 + 94 = -b*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 k = -0.08 + -0.72. Let t = k + 5.8. What is the nearest to 0.1 in -1, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195634843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -7, -8\/13, -4\/9 in ascending order.\nAnswer: -7, -8\/13, -4\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*a + 1. Let x(s) = 0*s**2 + 2*s**a - 5 - 3*s**2. Let l be x(4). What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 + 159. Let i be (1 + -4 + 1)\/21. Which is the third biggest value? (a) j (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60322 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -36)*(-646)\/85 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 300022 + -113213?\nAnswer: 120203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -147, -229, -311, -393?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/56*24\/(-18))\/((2340\/(-96))\/13)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuusiuzeesee. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -0.4, 537 in ascending order.\nAnswer: -34, -0.4, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 + 667*n - 669*n - n**3 + 5*n**2 + 2*n**3 as t*n**4 + d*n**2 + m + o*n**3 + a*n and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 3. Let a be m(6). Let f be 2 - 6\/((-6)\/(-5)). Let l be (1\/f)\/((-1)\/3). Solve a + l = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 times 0.0488?\nAnswer: -16.8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/9417978 and 1\/1046442?\nAnswer: 9417978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 261 and 180?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 53, 123, 211, 311, 417?\n\"Answer: -j**3 + 18*j**2 - j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-150)\/(-12))\/5)\/((-15)\/(-36))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -1. Let s = 3 + d. Suppose -n - 8 = -3*j, -3*n - 1 - 5 = -3*j. Is s bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 15) to base 13.\nAnswer: -2c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -7*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(2*j + j - j) + 2*j + 0*j + j - 2*j - 2*j + 8*j - j + 2*j + 0*j + j + 1 - 1 + (-2 + 4 + 5)*(-2*j + 5*j + 2*j).\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8, 10, -4, -40, -104, -202?\n\"Answer: -i**3 - 2*i**2 + 15*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13050027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 11*s = 24765 - 24757, 2*z + 11 = 5*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338396 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 14)\/(8\/66*11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 + 10*d - 108. Let f be j(10). Calculate the greatest common factor of f and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jiji. Give prob of picking 2 j.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 + 17*l + 10. What is x(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/2 and (-1323)\/(-350) - 6 - 6\/(-10)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*1 - (-1 + 3). Let b = v - -8. Let n(d) = d**2 - d + 27. Is n(b) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avof when four letters picked without replacement from vyvovvvfayfvayvy?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**2 + 13*t + 18. Let w(r) = -8*r**2 - 12*r - 18. Let c(i) = -6*w(i) - 7*x(i). Let q be c(-12). Calculate the greatest common divisor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0*q + 0*q)*(4*q - 2731 + 6*q + 2711) in the form a*q**2 + t*q + u and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -17, -4, -82, 4 in decreasing order.\nAnswer: 24, 4, -4, -17, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 469 * 0.0576187\nAnswer: 27.0231703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -72.4. Let d = 9.4057 + o. What is d rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + f + 208. Let g be v(-13). Sort g, 1, 5 in descending order.\nAnswer: g, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 - s**2 - 6*s**2. Let n(c) = c**2 - 26*c + 132. Let q be n(7). Determine l(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-392))\/(6\/(-231))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/3 - 52\/(-6). Solve -2 + v = z - 2*o, 0 = -4*z + 4*o + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*v + 40 = -4*q + 231, 3*q - 99 = -14*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2189 (base 14) to base 8\nAnswer: 13255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -27.952. Let v = g - -13.848. What is v rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006394 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -233832, -935341, -2104528, -3741393, -5845936, -8418157?\n\"Answer: -233839*o**2 + 8*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3228*y + 1806*y - 4100*y - 6571*y + 1535811 for y.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.93 - 0.81. Let m = f - 1.12. What is the smallest value in 0.3, m, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 3*b - 23. Determine h(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 36) + -29 + 21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 2*r + 4*r**2 - 13 + 3 in the form c*r + s*r**2 + k and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 18. Suppose 4*h - 10 = -2. Find the third derivative of -5*b**5 + 2*b**w + 0*b**5 + 2*b**h wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/34045 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 8 = 10. Suppose -5*j - s*x = -11, 2*x - 7*x = -5*j + 35. Solve -w = -j*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 2*v**2 + 2*v + 1. Let d be f(-1). Solve -d*u + u + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, 0 in decreasing order.\nAnswer: 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 - -81. Let m be 8\/2 + (4 + r - -3). Suppose 3*q - 3*v = 777, 0*v - 506 = -2*q + m*v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v - 130. Let w be k(0). Let z = -134 - w. Is (z\/6)\/(2\/20853*-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -58 + 76 + (-16 - -2) + 65.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 110, 247, 450, 725, 1078?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-536)\/469*5838\/556?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*b - 122, -17*s = -b - 13*s + 32. What is the remainder when 183 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -13, -5, 7, 23, 43?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014872 rounded to six dps?\nAnswer: -0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174 + -72. Let d be -4 + 10 + 16 - -2. Calculate the greatest common divisor of r and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 4*a**2 + 0*a**2)*(79 - 79 - 6*a**2).\nAnswer: 30*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 518 - 509. Suppose -r*s + 33 = -6*s - i, 2*s - 5*i - 22 = 0. What is the second smallest value in 1\/8, 5, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1431906 is divided by 38697?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/3))**39*(a*a*a**(2\/7))**(-30) assuming a is positive.\nAnswer: a**(-389\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 438171921665414\/1261 + -347479698312. Let i = -17521 + u. Let b = 56743\/2522 + i. Calculate the common denominator of b and 31\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -21*j. Let g(b) = -25*b. Let a(d) = -5*g(d) + 6*v(d). Let n(t) = 19*t. What is a(n(h))?\nAnswer: -19*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 15*k + 2. Let s be z(9). Suppose a + a = -l + s, 4*a = 3*l - 208. Let y = 69 - l. Solve -y*d = -3*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 239, 376, 525, 686, 859, 1044?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51941 is divided by 2157?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -210 divided by -42\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/24 and (2968\/(-672))\/(83\/2)?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) -0.4 (c) 4 (d) -20.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -912*q**3 + 3*q + 92.\nAnswer: -5472*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85.4 + -1204865.\nAnswer: -1204779.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1344 - 1346. What is the nearest to 0 in 0.3, i, -2\/523?\nAnswer: -2\/523","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 + 40714*i + 105671388 = 0 for i.\nAnswer: -2329, 22686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/21923 and 3\/141503.\nAnswer: 1556533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 43 - 35 = 0. Sort 0, -6, g, 35 in increasing order.\nAnswer: -6, g, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*k, -4*v + 6*v - k = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.5 + -14. Let x = -156 + 152. Which is the biggest value? (a) -0.05 (b) -3 (c) n (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*o**6 - 95*o**4 + o**3 + 25*o**2 + 5*o + 15?\nAnswer: 960*o**3 - 2280*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10132249079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5195573*0.72.\nAnswer: 0.374081256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 6 - 10 - y.\nAnswer: -3*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/21)\/(h**(-2\/11)\/h*h))\/(h*h\/(h**10*h*h*h)*h\/h**6) assuming h is positive.\nAnswer: h**(3716\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 5*m - 3. Let f be x(3). Let w(v) = -4*v + 25. Let z be w(4). Suppose -f*y = -z - 21. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -6 + -6 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-5)\/(-4) + -2). Let o be 0 + 2*(-34)\/i. Let d = o - -18. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 0*f**3 - f**3)*(-f**2 - 2*f**2 + 4*f**2) + (0 + 0 - f**2)*(335 + 51*f**3 - 335).\nAnswer: -52*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-17)\/26 + (-16)\/(-104))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -510, -1064, -2086, -3720?\nAnswer: -6110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5703 - 5646) + (6 - 1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(10\/((-840)\/266)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1360867\/10118 - -2\/5059. Which is the nearest to 0? (a) n (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 - o. Let f(r) = r**3 + r. Let g(n) = -11*n**3 + 10*n**2 + 13*n. Let m(l) = 3*f(l) - g(l). Calculate 10*d(c) - m(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyy when three letters picked without replacement from bycupycyy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2091155006)\/2080)\/(3\/69). Let r = 23123353 + m. Let o = r - 1\/1040. What is the common denominator of -59\/20 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 0*c**2 + c**2)*(3 - 3 + 2) + 2128*c**2 - 1059*c**2 + 47 - 1068*c**2.\nAnswer: -3*c**2 + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 + 0 + d**4 + 8*d**2 - 9*d**2 + 2 to the form j*d**2 + z*d**3 + u*d**4 + t + m*d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 913751701139*i**2 - 913751701139*i**2 - 29*i**3.\nAnswer: -29*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.7937211 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 6*i - 6*i + (0 - 4 + 2)*(2*i - 2*i + i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411731243 to the power of 1\/2, to the nearest integer?\nAnswer: 37573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1722?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, t: 1, h: 3, k: 1, e: 3, n: 1}. What is prob of picking 1 t and 1 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.78 + 1.09. Let r = d + -0.31038. Round r to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.069 + -50123466.93\nAnswer: -50123466.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 8:39 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4608*c**3*m**3 + c**3 + 86*c**2*m - 2*c - 28 wrt m?\nAnswer: 27648*c**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22725.4155 rounded to the nearest one hundred?\nAnswer: 22700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 17*i - 352. Let b be q(21). Put b, 1, 3, 0 in decreasing order.\nAnswer: b, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 5*h - 3*h + 3*h - 2*h + 0*h + (0*h - h + 3*h)*(-3 + 4 + 0) - h + 4*h - h + 2*h - 4*h + 3*h)*(3*h**3 + 0*h**4 + h**4 - 2*h**3).\nAnswer: 8*h**5 + 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 8:48 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/114 and 119\/128640.\nAnswer: 2444160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vko when three letters picked without replacement from {u: 1, v: 1, k: 2, o: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 10:46 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8360, 8362, 8364, 8366, 8368?\nAnswer: 8370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -i - 8, -3*i + 0*z = -5*z + 4. Factor 0 + 1\/2*a**i - 1\/2*a - 1\/2*a**4 + 1\/2*a**3.\nAnswer: -a*(a - 1)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595 a factor of 885477269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -260099.\nAnswer: -260098.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 101.585.\nAnswer: -101.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 - 334. What is the second smallest value in j, -21, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 8:46 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4439*i*l*p*q + 115*i*l - 881*l*p*q - 17*l*p + 23*q wrt i.\nAnswer: -4439*l*p*q + 115*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 1 (c) -0.18 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-205)\/((8\/6)\/((-2)\/(-6))))\/((-532030)\/(-851248))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/13 (b) -7\/3 (c) 3\/7 (d) 23\/2 (e) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 2*a + 4*f, 32*a + f = 36*a - 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -198, -438, -774, -1206?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 16)*(-97*n + 114*n - 83*n).\nAnswer: -660*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0982 and 0.4?\nAnswer: 0.03928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyrmmymmmymydtmdtc. Give prob of sequence ytd.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnns when four letters picked without replacement from yynnlssnry?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1865 is divided by 465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 11. Let t(u) = 3*u**3 + 2*u**2 - u. Let d be t(m). Suppose 0 = 3*i + i - d*a - 8, 0 = -2*i - 5*a + 18. Solve i*q = q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149 + 151. Solve 3*b - o*q - 2*q - 8 = 0, -4*q = b + 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.063506 (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m = 34*m + 1. Suppose 0 = 3*u - 0*u - 12. What are the prime factors of 8\/8*(u + m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i - 270. Let x(u) = 9*u + 382. Let a(s) = 7*h(s) + 5*x(s). Give a(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 2*l + 10. What is the remainder when s(0) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 33196.09 kilograms?\nAnswer: 33196090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3655240*h + 7310670*h - 3655469*h.\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4509 and 2839.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (16 + -18 - -7) - -9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198420 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8673118931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 187198. Let q(c) = -9*c. Give g(q(h)).\nAnswer: 18*h + 187198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15339357841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-32)\/56*(-7)\/2. Let q = -0.9 - 0.1. Which is the closest to -0.3? (a) o (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 49383*p**2 + 3*p + 4. Let z = 0 + 0. Suppose z = -6*j + 10*j + 36. Let h be v(j). What is h rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 245*z**2 - 11*z - 3. Let t(f) = 1475*f**2 - 62*f - 17. Calculate 34*j(d) - 6*t(d).\nAnswer: -520*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 14 = 4*x - 5*x, -2*a - 5*x = -5. Let w(h) be the first derivative of h**4\/4 - h**3\/3 + 13*h**2\/2 - 7*h + 36. What are the prime factors of w(a)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(288) - sqrt(18))**2 + 1)*4.\nAnswer: -3912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 9. Let j be 3 - (l + (3 - 4)). Suppose -3*t + z - 2 - 4 = 0, -14 = 5*t - 3*z. Is t > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -17*z + 11*z - 183*z - 118*z. Let y(d) = d**2 - d + 1. Let i(n) = 12*n**2 - 11*n + 11. Let c(x) = 2*i(x) - 22*y(x). Determine c(k(q)).\nAnswer: 188498*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 626628015 to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -271 times 93\nAnswer: -25203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5675 - -74?\nAnswer: -5601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250976 and 2392.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i - 35*i = -3*g - 8, 12 = 3*g + 3*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**6\/360 + j**3\/6 + 5*j. Let o(z) be the second derivative of d(z). Let y(l) = -5*l**2 + 2*l + 1. Determine 6*o(f) + y(f).\nAnswer: f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 46 + 8 = 0. Let v(h) be the second derivative of 1\/2*h**b + 0*h**2 - 1\/12*h**4 + 0 + h. Factor v(k).\nAnswer: -k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38327406.\nAnswer: 2, 3, 13, 491377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6*w - 87*b**4*w**2 + 56*b**2*w - 2*w**2 wrt b.\nAnswer: -240*b**3*w - 2088*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -29. Let o(s) = 5*s**2 - 6*s - 4. Let l(b) be the third derivative of b**5\/15 - 5*b**4\/24 - 2*b**3\/3 + 474*b**2. Determine g*o(a) + 6*l(a).\nAnswer: -a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1530, -1602, -1708, -1842, -1998, -2170, -2352?\n\"Answer: v**3 - 23*v**2 - 10*v - 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 112848563 and 4.\nAnswer: 112848567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 4. Let c(t) = -231*t + 3. What is c(f) + g(f)?\nAnswer: -232*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 + -6.682387?\nAnswer: -6.942387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59455, -238716, -537477, -955732, -1493475, -2150700, -2927401, -3823572?\n\"Answer: u**3 - 59756*u**2 + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*w + 2267 = -72*w - 991 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0 (b) -5 (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eluhcyh. What is prob of picking 1 c and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 127568.425 to the nearest 1000.\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from {k: 2, z: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 77770761 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/153 and ((-73395)\/(-3094))\/15 + (-6)\/(-39)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -584?\nAnswer: 3\/584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 564557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 0 + 1\/10*v**5 - 77\/12*v**4 + 146*v + 1\/3*v**3 - 2*v**6 + 0*v**2. What is the third derivative of t(x) wrt x?\nAnswer: -1440*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 325455140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27.06*353996\nAnswer: 9579131.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/120 - 6\/16. Does p = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2757\/38 + -1331\/19. Which is smaller: k or 1099?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1047121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 4*z**2 - 5. What is t(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(-7)\/l)*l)\/(l**16\/l))\/(l**11\/l**(-3\/8)) assuming l is positive.\nAnswer: l**(-123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppiipiooiifpoppipp. What is prob of sequence fp?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -172. Suppose 0 = 3*c + u - 28, -5*c + 3*u + i - 4 = 0. Sort -4, c, 1.\nAnswer: -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -70.28.\nAnswer: -70.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 480, 530?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 359*y**8\/336 - 20*y**4\/3 + 11*y**2 - 13*y. What is the second derivative of i(g) wrt g?\nAnswer: 7180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -187*a**3\/6 - 8*a**2 - 22*a. Let m be 98\/(-21) - 2\/6. Is f(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -161*l + 153*l + 8560. What are the prime factors of l?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -0.05 (c) 30 (d) 0.02809 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -201, -215, -245, -297, -377?\n\"Answer: -s**3 - 2*s**2 - s - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**6\/180 - 3*k**4\/8 + 7*k**2. Let m(v) be the second derivative of g(v). Let s(b) = 5*b**2. Calculate s(m(q)).\nAnswer: 80*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51546857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5 + 1\/5*x**2 + 2\/5*x = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 0*w**2 - w**2)*(20 - 2 + 0).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58 - -54)*(-2)\/(-20)*30\/(-3). Put -4, f, -91 in decreasing order.\nAnswer: f, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -30. Let h = -5977 - -5980. Let z(a) = 3*a - 9. Let p(c) = 2*c - 8. Determine g*p(t) + h*z(t).\nAnswer: t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 5700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afff. Give prob of sequence fa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*f - 2 - 8, -15 = 3*f + 3*h. Let t = 0.4 - 0.3. What is the third smallest value in -1\/2, t, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2202 (base 3) to base 16\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 362*z + 40*z - 49*z + (5 - 6 + 2)*(3*z + 2*z - 4*z) + 6*z + 3*z - 5*z as q*z + y and give q.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(9\/7)\/o)*o**(1\/2)*o)**(36\/7) assuming o is positive.\nAnswer: o**(558\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1644631 and -2545.\nAnswer: -1647176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783e (base 16) to base 14.\nAnswer: b30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2\/373, 0.05 in decreasing order.\nAnswer: 0.05, 2\/373, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9436 - 0.857046\nAnswer: -9436.857046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by 4525.\nAnswer: -29\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 176*j + 640.\nAnswer: 4*(j + 4)*(j + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34319331.\nAnswer: 3, 1663, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.91, -0.2 in increasing order.\nAnswer: -0.91, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -27, -25, -23, -21, -19?\n\"Answer: 2*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*c - 28318 = 1214*c - 37651 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4, -12, 3, 5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.185 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 0*q**4 + 1 + 0*q**3 - 1\/10*q**5 + 3*q + 3\/2*q**2. Let o(f) be the first derivative of r(f). Differentiate o(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2 and ((-85)\/(-12))\/(159\/(-9)).\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -3)\/(-3 - -2). Let t(j) = 4*j**2 + 3*j**2 - j + z*j. Let b be 2*(12\/(-8) - -2). What is t(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*h*s**2 - 69*h*s + 7*h - 3688*s**2 + 3 wrt s?\nAnswer: 8*h - 7376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203.2714 + -231.2714124. Let n = -28 - t. What is n rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((4 - 1) + 6 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238 - -231. What is the nearest to -1\/4 in j, -3, 0.04, 5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, 1\/14, -227\/5, 1\/6?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5\/2 (b) -1 (c) -3 (d) -0.41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/9 - 56*k**4\/9 - 124*k**3\/3 - 584*k**2\/9 - 266*k\/9 = 0. What is k?\nAnswer: -19, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8 - 2 = 0. Let q(l) = 3*l + 5 + 1 - 1 - 6 - l**p. Give q(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dggddjddjghjg. What is prob of picking 1 h and 1 d?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1101000?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (15\/((-5775)\/(-3619)))\/(-1*(-2)\/(-10))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 1574 = 55. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186195 + 114604. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*g + 310 = -482*r + 477*r, -2*g + 7 = -4*r + 3*g - 12 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i - 2)*((-3 + 0 + 2)*(-i**2 + i**2 - 2*i**2) + 20*i**2 + 6*i**2 + 15*i**2).\nAnswer: -43*i**3 - 86*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-1)*(2\/1170)\/(65\/195).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118b8 (base 13) in base 2?\nAnswer: 111111000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 133974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**3\/7 + 1143*a**2\/14 + 920. Find u, given that r(u) = 0.\nAnswer: 0, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uamuxuauam. What is prob of picking 1 a and 2 m?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 166.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673253430?\nAnswer: 2, 3, 5, 271, 82811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*j + 12*j - 204 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klcrlkculccwkrcccc. Give prob of picking 1 k and 2 c.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1. Let x(o) = 6*o**2 - o - 4. Let m(p) = -5*h(p) + x(p). Let w be m(1). Solve -25 = w*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15 = 2*i, -6*i + 2*i + y = 39. Does 16 divide 4 - (-12 - -21)\/(2\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (71\/((-852)\/7288))\/(2\/(-69)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5000, 40019, 135062, 320141, 625268?\nAnswer: 1080455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50401234 - -4?\nAnswer: 50401238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1\/2, 0.4, -5 in descending order.\nAnswer: 1\/2, 0.4, 2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*h - 5, 4*g = 3*g + h + 1. Suppose g = 4*b + 4*i - i - 508, -2*i - 508 = -4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 180, 7748.\nAnswer: -10, 180, 7748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146.3 - -3.3. Let n = -135.7 - v. What is n rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 4*x**2 + 2*x + 2. Let m(s) = 600*s**3 + 4*s**2 - 2*s - 177. Let c(a) = -3*m(a) - 3*t(a). What is the first derivative of c(y) wrt y?\nAnswer: -5391*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2389184 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 9) to base 14.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -4*r**5\/5 + 3*r**4\/2 - 2*r**3\/3 - 154*r - 355. Find the third derivative of f(h) wrt h.\nAnswer: -96*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347499?\nAnswer: 3, 38611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2 - (1 - 2)*-3). Let c(u) be the second derivative of 8*u + g*u**2 + 0 + 1\/6*u**4 + 0*u**3. Let b(m) = -8*m**2. What is c(b(n))?\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61 - (-33 + 57)) + 11 + 20?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 13*k**2 + 47*k + 19. Give u(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 166*u + 2. Let y be l(1). Calculate the highest common divisor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (441\/(-245))\/(20\/(-300))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/9 + (-92)\/(-9). Suppose 5*p = -5, -5*k - 3*p - 35 = -7*k. Suppose -m - 2*a - 6 = 0, -2*a - k = -4*m + n. Solve -m*l + 1 = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -y + 21. Round y to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 3:40 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 + 5*h**2 - h**2)*(-2*h**2 + 14*h**2 - 2*h**2) to the form p*h + q + u*h**2 + b*h**3 + d*h**4 and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1722 = -99*v + 159. Calculate the greatest common factor of 817 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7*o + 20. Let u be (-1 + -1)\/(-7 + (-354)\/(-50)). Let c be 9 + u\/10*(-4)\/(-5). What are the prime factors of q(c)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g + 1. Let h = -34 - -17. Let w = 27 + h. What is the least common multiple of r(1) and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*z = 195*z - 220 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 11. Let k be v(-7). Let t be (2\/2)\/1*-3. Sort 1, k, t in decreasing order.\nAnswer: 1, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*u = -0*u + 221 - 649. Let l(y) be the third derivative of 1\/30*y**6 + 0 - 1\/4*y**u + 0*y - 37*y**2 + 0*y**3 - 1\/30*y**5. Factor l(z).\nAnswer: 2*z*(z + 1)*(2*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -405577 divided by 6\nAnswer: -405577\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/(-132)*(-3)\/(-15)*-4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/30 - 3\/(-5). Suppose -5*l + l - a + 36 = u, 4*a = -5*l + 34. Suppose -4*f - l = -6*f. Let n(c) = -c - 6. Determine n(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 20888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*i*p - 6*i - 3*p - 2 wrt p.\nAnswer: 37*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -46707.1 * -4\nAnswer: 186828.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*b**6 + b**3 - 24*b**2 wrt b?\nAnswer: -2280*b**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 8140016*o - 4141241280016 = 0. What is o?\nAnswer: 1017502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1494083 divided by -5\nAnswer: 1494083\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 213\/4. Let g = 4.3 + 0.7. What is the smallest value in j, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71138141*f**3*l + 19*f**2 + 509*l + 570 wrt f.\nAnswer: -426828846*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.110827 - -163.2?\nAnswer: 163.310827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -22*b + 71*b - 4 + 1. Let w be 0 - 2*(-1 + 0). Is g(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13801*c**3 + 74*c**2 + 13801*c**3 - 63*c**5 wrt c.\nAnswer: -3780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j**4 - 20*j + 20*j + (75*j + 128*j - 19*j)*(-2*j**3 - 4*j + 4*j) as l*j**3 + z + a*j**4 + i*j**2 + r*j and give a.\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -108481*0.1\nAnswer: -10848.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*h + 125*h - 40 = 0. Suppose 3*n + 2*z = 3*z + 23, 2*n = 2*z + 10. Let m = h + n. Solve 6 = -2*l - m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + -5 - (-7 - -1). Solve 5*p - t = 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*(117 + (-102778)\/804)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofl. Give prob of sequence ol.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -38, -64, -122, -224, -382, -608, -914?\nAnswer: -1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8*l + 8 = -2*n, 3*n + l - 16 = 0. Suppose 23125 = 4*x + 3*y, 4*x - 5*y + n*y = 23113. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*k**6 + 1027*k**4 + 195873*k**2 + k wrt k?\nAnswer: -3480*k**3 + 24648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4058 times 4824\nAnswer: 19575792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2550, 2547, 2542, 2535, 2526, 2515, 2502?\nAnswer: 2487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 30 = 2*n + 12*j, 3*n + 2*j = 45. Let l be (2\/5)\/((-1)\/5). What is the units digit of ((-70)\/n)\/(l\/3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4812 divide 1279262594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-22))\/o**(-22) assuming o is positive.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 0.6650902\nAnswer: 13.301804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1042 = -6*y + 3*y, 1030 = 3*y + 5*d. Let j = y - 292. Calculate the smallest common multiple of 4 and j.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260812755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146.985 - 0.015. Let z = 147.00000113 + d. Round z to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 39553.202 rounded to the nearest one hundred?\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6300 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1287)\/(-52))\/11*23\/((-138)\/120)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 8:32 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/17 (b) -1\/5 (c) 10 (d) -2\/5 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 20*x**2 - 2*x - 31. Give w(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5 = -17. Let d be ((3 - 3)\/a)\/2. Suppose 14*n - 16*n + 168000 = d. Round n to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 59\/(-59) - 1\/((-1)\/5). Sort u, -4, 37, -3.\nAnswer: -4, -3, u, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 728 * 0.28.\nAnswer: 203.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.572085ml?\nAnswer: 0.000572085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.2 + -6.8. Let y = 4 + v. Let f(r) = -r + 5. Let k be f(4). What is the second biggest value in 4, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/332127 and 7\/110709.\nAnswer: 332127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 313301110 or 313301109?\nAnswer: 313301109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -24003033 (base 5) in base 16?\nAnswer: -35807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 6*q - 2*q + 4*q + 3*q - 3*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -6*i + 120. Calculate the highest common divisor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 7*d + 10. Give o(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*s + 0)*(3*s - s - s) - 3*s**2 + 2*s**2 + 3*s**2 + 71*s**2 + 152 - 152 as p*s + g*s**2 + r and give g.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -227735 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3091.43 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(-240 - -237).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 166*h*s**4 + 23571*h*s**2 + 29942423*h wrt s?\nAnswer: 664*h*s**3 + 47142*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 7 + 4 - 24.\nAnswer: -2*i - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 18*p**3 + 137*p**2 - 65*p + 1. What is the remainder when 227 is divided by q(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(76))\/sqrt(2))\/(sqrt(128) + sqrt(128)*-3).\nAnswer: -3*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4*j**3 + c**4*j + 12854*c**3*j - 817*c**2*j - 54*c*j**3 wrt c?\nAnswer: 48*c*j**3 + 24*c*j + 77124*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 17. Give h(-26).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8507*y + 134339 - 55320 + 50658 + 57477 = 0 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*g - 39, -4*m - 2*g = -g - 156. Suppose -4*c + 24 = -4*a - 64, 50 = 3*c + 5*a. What is the remainder when m is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76553962 divided by 2\nAnswer: -38276981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8*m + 738 = 10*m, 4*v - 2952 = -5*m. Calculate the remainder when v is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -82*i - 167. Suppose 0 = -0*r + 2*r - 4, -25*r + 60 = -5*d. Calculate c(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u + 5*u)*(831*u**2 + 1366*u**2 + 1758*u**2 + 9*u**2).\nAnswer: 3964*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - 1) + 5 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.4, 1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25288.43 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**2*j**3 - 3106*h**2*j**2 - 3*h**2*j - h*j + 258*h + 10*j wrt j.\nAnswer: -24*h**2*j - 6212*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 minutes before 2:06 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1499.28 - 1499. What is the second biggest value in 2, -2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 88*f**2 + 243*f + 2719. What is n(91)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/4 - (-1)\/(-4). Let z = 6 + i. Suppose 0 = -z*k - 5*g - 19, -4*g - 11 = 5*k - 2*k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 40. Calculate the remainder when -2*(-1 - 39\/2) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (2*(-4 + 3))\/(2\/(-1791))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 1 + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.15 + 12. Let o = k - 0.3. Let p = -0.05 + o. What is the nearest to -1 in 0.4, p, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 262 - 258. What is the second biggest value in r, 3.9, 0.1, -2?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 80 = 5*c, -5935 = -7*c - 5*h - 6047 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 4:54 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**26\/g)\/g**(13\/5))\/(g**44*g\/(g*g**(-5\/2))))**1 assuming g is positive.\nAnswer: g**(-241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(90\/16))\/((-4)\/10). Solve -w*f = -3*f - 4*t - 15, f - t = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0576 - -134.5576. Let n = -136 + f. Sort n, -1, 3\/2 in descending order.\nAnswer: 3\/2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -46. Let j = 156 + -162. Let g = w + j. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 25. Calculate the remainder when 80 is divided by x(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.5 + -0.5. Let l = 0.064 + -7.364. Let u = l - i. Sort u, 4\/7, 3\/7.\nAnswer: u, 3\/7, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.1? (a) -0.2 (b) 601 (c) 2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 264*p - 855. Is w(35) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:54 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79687 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.8354 and 2928.2.\nAnswer: 2933.0354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1554050.25 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*k - 67*k - 78*k - 23*k**4 + 9*k**4 + 9*k**4 + 3*k**3 wrt k?\nAnswer: -60*k**2 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*c**2 + 13*c + 2*c + 99*c**3 - 94*c**3.\nAnswer: 5*c*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194365, -194699, -195033?\nAnswer: -195367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1526401320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21.8? (a) -44\/393 (b) -3 (c) -2\/99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10063.3 + -10063. What is the closest to -2 in -7.1, j, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6670, 0.06, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (32 + (17 - (-22 - -10 - -21)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 2*i**2 - 1. Let s = 7 - 6. Let o be n(s). Suppose -r + 13 = -5*w, -r = o*w + w + 3. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13056153 to the power of 1\/2, to the nearest integer?\nAnswer: 3613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476517661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + 5*g)*(0 - 2 + 0) + 50 - 7*g - 50.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 2*t - 4 + 2*t - 3*t. Let a be f(-5). Suppose a = -x + 4. Let m(l) = l - 1. What is m(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00050306623 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2 - -1) + -8 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 702 and 87619350?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.1841 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 444.16056 to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.6 - -39.8. Let m(p) = 2*p + 2. Let r be m(-2). Let y be 8\/r + (0 - -2). Which is the second biggest value? (a) f (b) -1 (c) 4\/3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-4)\/8 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = -2*o - 0*o, 4*o = -5*h + 22. Suppose -o*i = 2*i. Let u(q) = i*q**3 + q**2 - 13*q + 10*q**3 + 0 + 12*q + 1. What is u(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let h(o) = -9*o + 2 + 2*o - 4 + 9*o. Give h(f(t)).\nAnswer: -4*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21121, 21122, 21123, 21124, 21125?\nAnswer: 21126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123965*i**5*l - 675*i**3*l**2 + 3334966*i*l**2 - 27*i*l wrt i?\nAnswer: -2479300*i**3*l - 4050*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4987 or -0.2447?\nAnswer: -4987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12730572 - -0.1060703174. Let h = -33.0787494974 + d. Let c = h + 33.1. What is c rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-2)*(-4)\/(-6). Suppose -3*r + w*r - 20 = 0. Calculate the smallest common multiple of -5*(-4 + (r - 3)) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*j = 807*j + 48 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959083990.\nAnswer: 2, 5, 821, 116819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 147\/2401*14\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1244 = -1812*o - 28786 - 17758 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -27204*z - 1. Let j be l(-1). Let u = -598357\/22 + j. Calculate the common denominator of 3 - ((-483)\/252)\/((-15)\/27) and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1811857971 to 5 decimal places.\nAnswer: -0.18119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1566 (base 7) to base 8.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/148828 and 67\/848.\nAnswer: 31551536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - r + 18, -4*r - 15 + 7 = 0. Let w(l) = 4*l + 8. What is w(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.2 - -8. Sort -2\/5, -0.5, j.\nAnswer: -0.5, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3 + 6. Let t be 2\/5*((4 - 0) + y). Solve 3*o - 6 = 4*u, t*o - 2 = -u - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:12 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-2) - 1)*2. Let p(g) = -1 + 6*g - c*g + 0. Determine p(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(17)*3 - ((-1*sqrt(17))**2 + sqrt(17))*-5.\nAnswer: 8*sqrt(17) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 57*x**2 + x - 1. Calculate the remainder when c(1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6854.408 kilometers?\nAnswer: 6854408000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2170, -2052, -1936, -1822, -1710, -1600?\n\"Answer: -f**2 + 121*f - 2290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 12:07 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 6*h**2 - h - 4. Suppose 0 = -j - 3 - 3. Calculate c(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -5*x + 10*x. Suppose 3*q + 8 = 3*l + l, -2*l + 4 = -3*q. Suppose s - 3 = -4, l*t + 4*s - 16 = 0. What is the remainder when x is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 163 - 123. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38749 - -34600. Do -4148 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 - 7*y + 4. Give s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47*j**2*r*w - 44*j*r*w**3 - 76*r*w**3 - 15*r*w wrt j?\nAnswer: -94*j*r*w - 44*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343855 is divided by 725.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15745920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.257 + 0.457. Which is the nearest to 0? (a) -16 (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1158 and 78.\nAnswer: 15054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2. Let f(t) = -75*t**2. Let h(n) = 6*f(n) + 153*j(n). Let k be h(1). Suppose -2 - k = -z - y, 4*z + 5*y = 44. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1.1 (b) 0 (c) 59 (d) 3\/4 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {t: 5, z: 1, b: 6, m: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(6\/23)*p\/(p\/(((p**4\/p*p)\/p*p)\/p)))\/((p*p**(-1\/38)*p*p)\/p)**(46\/5) assuming p is positive.\nAnswer: p**(-6510\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 m when four letters picked without replacement from hmmhhmhmhhmmmhmmmhh.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1821478849.\nAnswer: 61, 29860309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 11. Suppose -12 = -4*a - 4. Let u(r) = -r - 13. Let h(g) = a*u(g) - 3*v(g). What is h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 3:32 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 1. Let z(u) be the first derivative of -u**3 - 87. Calculate g(z(n)).\nAnswer: -18*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6271 + 6303. Calculate the highest common divisor of 1288 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 871\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.122551 and -121686.\nAnswer: -121686.122551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2. Let x(w) = w**3 + 12*w**2 + w + 12. Let m be x(-12). Let t(g) = -32*g + 1 + m - 1. Calculate l(t(s)).\nAnswer: -2048*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -218 * -0.03.\nAnswer: 6.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmq when three letters picked without replacement from mqqeemeqqe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/21 + 6*8\/9. Solve i + i + 4*j = 22, q*j - 24 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 48 + 45 = -3*h, 4*h - 25 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 2*l**2 + 2*l**2 + 1 + l**2 - 1 + (-l - l + 3*l)*(5*l + l - 5*l) + 2*l - 2*l**2 - 2*l - 2137*l**2 + 9206 - 9206.\nAnswer: -2136*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 484.9 - 483. Let q = 615058.100084 + -615060. Let a = q + w. What is a rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819352 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from pwws?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18931684.\nAnswer: 2, 59, 97, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 1 - (-16 - -18). Sort w, 3, 2, 0 in descending order.\nAnswer: 3, 2, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*y**3 - 1578 + 796 + 799 as m*y + l*y**2 + u*y**3 + b and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2757262 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:02 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 864?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-30) + (-18)\/(-108) - (-708)\/(-20).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288349 is divided by 2746?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -120022220121 (base 3) in base 12?\nAnswer: -126751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, t: 2, z: 4, n: 2, p: 2, q: 3}. Give prob of picking 2 z, 1 n, and 1 v.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2. Let l(o) = 5*o**2 - 4*o. Let h(u) = -u**2 + u. Suppose b = -2*b - 3. Let f(z) = b*l(z) - 4*h(z). Determine f(d(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Factor -2\/3*p + 0 - 7*p**2 + 64*p**5 - 20*p**f + 16\/3*p**4.\nAnswer: p*(3*p - 2)*(4*p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -n, -5*c - 30*n + 8322 = 7977 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, n: 1, u: 1, v: 3, d: 1, g: 5}. What is prob of sequence vv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 6*s + 37. Calculate c(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 - -67.9. Which is the smallest value? (a) -15 (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 - 239 + 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 61. Suppose -5*u = -5*k + g, -6*u + 4*u - 6 = -3*k. What is the lowest common multiple of k and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*l**2*q**3 + 2*l**2*q**2 + 163*q**3 + 2*q**2 wrt l.\nAnswer: -128*l*q**3 + 4*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:12 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 46656483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -116 + 109*s - 192*s - 20*s**3 + 19*s**3 + 32*s**2 = 0.\nAnswer: -1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 941858 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**3 + 3*s**2 + 1411*s + 295.\nAnswer: -6*s**2 + 6*s + 1411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 2*r**3 + 0 - 1)*(2*r - 2*r + r) - 1201*r**4 + r**3 + 0*r**3 - 68744 + 68745.\nAnswer: -1200*r**4 + r**3 - r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide (-1686)\/(-8)*1248\/312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*y = -69, -4*y - y = 3*v - 73. Let g = 115 - v. Suppose -2*u + 3*i + i + g = 0, i = 3. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1676, 1697, 1718, 1739, 1760?\nAnswer: 1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6620 or 4678?\nAnswer: 6620","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1617*f**5 + 98448*f**4 + 11817*f**3 - 17508*f**2 - 3660*f = 0. Calculate f.\nAnswer: -2\/7, 0, 5\/11, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s + 457. Determine p(36).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = 5*s, 7*t - 4*t + 4*s = 4. Let d = -3 + t. Let u be (44\/(-8))\/11*(1 - 15). What is the greatest common factor of d and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p = 28. Let d(v) = 4 + v**3 + 1 - 5*v - 2*v + 2 - 6*v**2. List the prime factors of d(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ninety-five halves of a century?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0 + q + 1\/40*q**5 - 1\/42*q**7 + 1\/8*q**4 - 1\/20*q**6 + 0*q**2 + 1\/12*q**3. Determine c, given that w(c) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 29*c - 12*c - 14*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 13*x - 5*x + 7*x + 16*x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -48. Let s be 30\/t - 18\/12. Let h(x) = x + 18. Is 9 a factor of h(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -3*r**8\/112 + 5*r**7\/14 - 31*r**6\/20 + 33*r**5\/10 - 31*r**4\/8 + 5*r**3\/2 - 6*r**2 + 83*r. Let s(n) = 0. Calculate n.\nAnswer: 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.6022678*-0.07.\nAnswer: 0.182158746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:19 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 18*t - 1. Let k(g) = -165*g - 907. Let p(y) = -k(y) + 4*u(y). What is the first derivative of p(q) wrt q?\nAnswer: 237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42436776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 11) in base 12?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 117*392\nAnswer: 45864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9149 + -8045. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (27 - 32)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9816 - -0.0184. Which is the nearest to u? (a) -0.3 (b) -0.5 (c) 3 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3 - (-4)\/6. Let q be (c\/3)\/1*-3. Let g = q + 5. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 = 2*b - 28, 2*b + 4*m = 28. What are the prime factors of 48\/(-112) - (-132)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 80\/(-12))\/((-4)\/450). Calculate the highest common factor of t and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -108\/13 (c) 4\/7 (d) 6 (e) -5 (f) 2 (g) -0.08\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2)*(-4)\/3. Suppose -k + 3*y = -0*y - 2, -k + 2 = -y. Let i(b) = -w + 6*b + k + 2. Calculate i(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 241 = -2*g - 225, 10*g - 8*g + 24 = -2*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121179 = 5*i - 14*i - 2*t, -3*i - 4*t = -40383. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.183? (a) 5 (b) 2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -0.65, -9, -3\/2 in ascending order.\nAnswer: -9, -3\/2, -0.65, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21110 + -21012?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2. Let s(w) = 323*w. Give t(s(a)).\nAnswer: -312987*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 133\/(2*91\/78)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105407?\nAnswer: 105407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.912 + -0.088. What is the closest to 3\/4 in 2, 9, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 - -0.14. Let c = s + 0.29. Let v = 3.7 - 2.7. What is the biggest value in v, 1\/9, c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 4\/13, 0.2, 2, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 42970*n**3 - 3*n**2 - 8*n. Let g be a(4). What is g rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16526 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3395*u + 168*u**2 - 3395*u)*(-2 - 2*u + 2)*(-1 - 4 + 3)*(0*u + 5*u - 4*u).\nAnswer: 672*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 + 6*i - 15. Let l(a) = 11*a**2 - 17*a + 45. Determine 3*l(u) + 8*v(u).\nAnswer: u**2 - 3*u + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92624414, 185248826, 277873238, 370497650?\nAnswer: 463122062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2557727 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216551 - 38678 - 81318 = 8986*y + 121739 for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**3\/23 + 25296*z**2\/23 - 79985952*z\/23 = 0.\nAnswer: 0, 6324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -291583?\nAnswer: -291578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0 + 3*v - 1\/10*v**5 - 1\/2*v**4 + 0*v**3 + 0*v**2. What is the third derivative of z(u) wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -725 * 0.07.\nAnswer: -50.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*g*l**5 + 2*g*l**3 - 57*g*l - g + l**5 wrt l.\nAnswer: 1260*g*l**3 + 12*g*l + 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -12*y + 340. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/2 + 35*w\/2 - 17 = 0. What is w?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Suppose 5*u + v = 16, 211*u - 4*v + 20 = 209*u. Suppose y = 2*w + u*w - 16. Calculate the smallest common multiple of w and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 37*b**2 + 73*b + 1403. Calculate z(-36).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -725 by -5.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41175*h**4*q**2 + 348*h**3*q - 21242*h**2*q**2 - 166*h**2*q - q**2 wrt h.\nAnswer: 988200*h*q**2 + 2088*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-2)\/6*(-8)\/(-780)*13?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrrr when four letters picked without replacement from rrwhknhwrw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) -9\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.00089 to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/3 + 26*v**4 - 266*v**3 + 722*v**2\/3.\nAnswer: -2*v**2*(v - 19)**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -694306466 divided by -106?\nAnswer: 6550061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-2)*(-4)\/3. Let v(b) = 2 - 2*b + 0*b + 1 - 4. What is the tens digit of v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2 - 6)\/((-18)\/8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145688?\nAnswer: 2, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 521 - 521 - 53*t**4 + (2*t - 3*t + 2*t)*(5*t**3 - 8*t**3 + 9*t**3) to the form l*t**3 + i*t + x + g*t**2 + o*t**4 and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) 0.4 (b) 2\/13 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 26*12\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 7\/14*-14 + 8. Solve 0 = -k*x + 4*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, -4, 0.39 in descending order.\nAnswer: 0.39, 0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*h + 2, -5*p + 3 = -6*p - 5*h. Solve r - 4*r - 5*n + 13 = 0, p = -2*r + 2*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 11*r**2 - 7*r - 10. Let q = -12 + 22. Let n be c(q). What is the highest common divisor of n and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -237*d**2 - 437*d**2 + 22*d**2 + 1654*d**3 - 318*d**2 + 62*d**2 wrt d.\nAnswer: 9924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (259\/37)\/((9\/3)\/(-3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 + 117196*a - 3433725604 = 0. What is a?\nAnswer: 58598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -2\/17, 0.5, 41\/13, -1\/7?\nAnswer: 41\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49 and (-144)\/1752*(-16)\/(-12).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2143952.9 - 0.4707?\nAnswer: -2143953.3707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 3*j + 5*j. Let n = -2 - -3. Is s(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:27 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10 = 4. Let z be 30\/s - 22\/(-77). Let q be z\/22 - (-2)\/11. Solve q = 2*f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8231390 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -7, 1, 3 in descending order.\nAnswer: 3, 1, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54524229, -109048456, -163572683, -218096910, -272621137?\n\"Answer: -54524227*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (8 + -12)) + 5 - (5 - 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27540, 27522, 27492, 27450?\n\"Answer: -6*g**2 + 27546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 744 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z - 2. Let i be x(-2). Calculate the remainder when ((-9)\/(-6))\/((-14)\/(-924)) is divided by 15\/(i\/(-2))*-5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 - (-1 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/3)*w*w*w**(1\/2))\/(w\/((w\/(w\/(w**(2\/3)*w)))\/w))**(-2\/5)*((((w**(2\/3)\/w*w*w)\/w)\/w)\/w)\/w*w**(-2\/13)*w**(3\/7)*(w**(3\/8)*w)\/w assuming w is positive.\nAnswer: w**(28571\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**16*l*l\/l**(-2\/3) assuming l is positive.\nAnswer: l**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, h: 1, y: 5, m: 3, s: 8}. Give prob of sequence myb.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103458758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1\/5, 0.0611, 6, 19 in decreasing order.\nAnswer: 19, 6, 1\/5, 0.0611, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 0, 3*z = -q - 0*q + 2079. Suppose 0 = 2*a + w - z, a = -3*w + 6*w + 350. What are the prime factors of a?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 6.83\nAnswer: -1.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3966 at least -27753\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 45*q**2 + 15*q**4 + 53*q**2 + 44*q**2 - 135*q**2 - 69*q**4 in the form o*q**4 + f*q**2 + d*q + s + u*q**3 and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Let h(g) = -47115*g - 40. What is h(f(y))?\nAnswer: 188460*y - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**3 - 6*u**2 + u + 4. Let f be o(-5). Which is smaller: f or 473?\nAnswer: 473","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-38) + (-1)\/2. Let c be (-11)\/(99\/(-24)) - 3. What is the second biggest value in c, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5260000 to the nearest one hundred thousand.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12.5, -0.3, 0.17, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15179412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 58*k**3 + 202\/5*k**4 + 0 - 66\/5*k + 38\/5*k**2 + 16\/5*k**5 = 0.\nAnswer: -11, -1, 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699 divided by -233\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*y - c - 14, -4*c - 4 = -4*y. Suppose -y*b - 23 = k, 3*b = -4*k + 5 - 19. Let m be 51\/15 + b\/15. Solve p - 5*u - 26 = -m*p, -3*u = -3*p + 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 629984 = 32*q - 294848. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2810 - -4613. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 150 + 0?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 41\/((-738)\/(-72)) + 114\/(-21). What is the nearest to 2 in -0.3, 3\/4, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + z - 2. Let c be i(0). Let p = c + 3. Is 17 a factor of 5*p*102\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 5743, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 36.2. Let a = 4050 + -4042. What is the closest to -7 in -4, a, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1787*t**3 - 9*t**2 + 1869*t - 15. Let h(s) = 2680*s**3 - 14*s**2 + 2800*s - 24. Let y(q) = 8*d(q) - 5*h(q). Find the third derivative of y(i) wrt i.\nAnswer: 5376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqn when three letters picked without replacement from xnq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.081 - -1.081. Which is the second smallest value? (a) 0.9 (b) -1 (c) l (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88616*s = 4*g + 88620*s - 20, -11*s + 28 = 2*g - 7*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 127?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.1, 230, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 3:22 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/18)\/(380\/(-114)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46686, -46682, -46676, -46668, -46658?\n\"Answer: r**2 + r - 46688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 3*x**2 + 6*x - 5. Let b(y) = y**3 - 4*y**2 - 5*y + 4. Let c be b(5). Let q be k(c). Suppose -6*j + q = -3*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 7 = -5*g, -4*g - 12 + 0 = 0. Let t = -2 + u. Is 0\/1 + (15 - t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and 1984834?\nAnswer: -129014210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyppypypplpypypppppp. What is prob of picking 2 y and 1 l?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*v**2 - 11*v + 33*v**2 - 79*v**2 + 0*v**4 + 23*v**2 - 4*v**4 as b*v**2 + u*v**3 + l + d*v + g*v**4 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15542 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1936273 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: What is the value of (2 - -4) + 28 + -25?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -144 and 392?\nAnswer: -56448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**3*p**2 + 6861*i**3*p + 75*i**3 + i**2*p**2 - 2883163*p**2 wrt i?\nAnswer: -24*p**2 + 41166*p + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 850\/340*4\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -31*a**2 + 3*a - 3. Let k(n) = 364*n**2 - 35*n + 35. Let h(q) = -3*k(q) - 35*s(q). Let l(t) = 302*t. Determine h(l(x)).\nAnswer: -638428*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 157750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t + 3*r, 5*r - 4 = -4*t - 0*r. List the prime factors of 934 + (1 - (t - 5))*-1.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {f: 8, r: 3, p: 7}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 3*n + 1 + 62, -3*n = 2*b + 45 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 - (21 - 14 - 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.79 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 41*w**2 - 140*w + 45. Does 12 divide n(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oiiioooioo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 107*c**3 + 5*c**2 - 7*c + 47. Is r(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -263748.\nAnswer: 5\/263748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 45303257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (0 - 15) - (-3 - -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1316.83 and -23.\nAnswer: 30287.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301 + 332. What is the smallest value in t, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 42*n + 40.\nAnswer: 2*(n + 1)*(n + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*b**4 - 5*b**3 + 5*b**2 + 5*b - 124 wrt b.\nAnswer: 1368*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 120 = -7*a. Let u = a - 14. Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 340 - (-24)\/(-3) - 8\/(-4) and 10?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3363450821 to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -15870000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**2 + 4*k - 41. Determine p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*b, -m = 5*b - 12044 + 1696. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3726, -7462, -11198, -14934?\nAnswer: -18670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21552 - 9415. List the prime factors of d.\nAnswer: 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by -4 + (-4508)\/(-294) + (-1)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 z, and 1 x when three letters picked without replacement from mztxxmmtzmzmxmm?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -67.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(65)*3)\/(sqrt(500)*1).\nAnswer: -9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 115.1. Let g be (22\/(-7) + 3)*-3. Put g, 1\/3, p in decreasing order.\nAnswer: g, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 110 and 7.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**2 + 9*z**2 - z**3 + 0*z**3 - 4 + 4 - 52*z to the form n*z**2 + d*z + h + w*z**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 7. Let i be (4\/b)\/(2\/40). Let v = i - -17. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6033 + 6033.00034312. Round t to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 700*s**3 + 253*s**2 + 3*s?\nAnswer: 4200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 - 44*c + 3.\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o**(-2\/3)\/o*o)\/o)\/o*o**(-2\/25))\/(o**(1\/2))**(3\/13))**(-40))**(-36\/5) assuming o is positive.\nAnswer: o**(-267888\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-128)*(-16 - 1988\/(-126))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 14 = 5*s, -8 - 6 = -h + 3*s. Suppose -5*l + 2815 = 5*m, h*m + l = -0*l + 1123. What is m rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002978 rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**4\/c*c))\/(c*c\/(c\/(c**(3\/8)\/c*c*c)*c)))\/(c**(1\/6)*c*(c\/(c**(1\/3)*c)*c)\/c) assuming c is positive.\nAnswer: c**(-125\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**3\/3 - w**2\/2 + 2*w. Let n be g(-1). Solve -s - n + 3 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40226974 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {k: 5, i: 2, n: 1, s: 7, d: 3}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 + -107.\nAnswer: -105.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15628 + 15964. What is the remainder when g is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w - 24. Let c be d(12). Suppose c = 2*b + 2 - 6. Find the second derivative of 3*u**2 + 8*u**b - 6*u - 24*u wrt u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8600*w - 42997. Calculate d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*s - 52 = 0, -2*g - 41 = 3*s + 2*s. Let v(y) = -2*y**3 - 17*y**2 - 12*y + 18. Let d be v(g). Calculate the highest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12403209002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.97 - 1.77. Which is the smallest value? (a) -24 (b) y (c) -0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016 = -137*s + 264*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**11)\/o*o\/((o\/((o\/(o\/(o**9\/o)))\/o))\/o*o))\/((o**(-9)*o*o)\/((o**(1\/4)\/o*o)\/o)))**(-6\/13) assuming o is positive.\nAnswer: o**(-27\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 144872947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1039 + -963. Which is smaller: i or 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1164 + 1176. Let l = 12 - 7. Suppose 0 = -l*x + 51 + 4. Are x and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 5*j**3\/3 - 3*j**2\/2 - 9. Find the second derivative of a(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33768 and 894852?\nAnswer: 1789704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*q - 23*q + 407 + 220 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from papapaaaaa.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 42528 = 2*l, 2*g = g - 5*l + 21294. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, h: 1, a: 1, d: 2, y: 2}. Give prob of sequence va.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209249598 to the power of 1\/3, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 78 + 47 - 41. Let y be a(-25). Which is smaller: 21\/8 or y?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/7 (c) -250\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by (-3*2\/9)\/((-10)\/255)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17824899 to 3 dps.\nAnswer: -0.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:51 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8103 + -5047. Let f = -24521\/8 + r. Calculate the common denominator of f and (425\/(-8))\/5 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106208 and 32?\nAnswer: 106208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {n: 3, e: 1, h: 4, j: 2, s: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k**3 - k. Suppose 0 = 4*w + 3*w - 1127. Let s = 160 - w. Give f(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -1*(6 - -1))*-7. Put -3, y, 3 in ascending order.\nAnswer: y, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288737 to the power of 1\/2, to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 3*m + 5*m)*(7*m - 8 - 2*m**2 + 20 - 11).\nAnswer: 2*m**3 - 7*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + k**2 - k - 1. Let p(t) = -591*t**3 + 11*t**2 - t - 7. Let v(r) = p(r) - 6*x(r). Let b be v(-3). Is (-3)\/(-8) - b\/(-32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3929 = -2*b + 1455. Suppose j + 2016 = 3*v - j, -4*v + 4*j = -b. What is v rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.1, -5, 34.1, -0.2, 45.\nAnswer: -5, -4\/5, -0.2, -0.1, 34.1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4\/(-16) - (1 - 80\/32))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1313 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16791 = -301*c - 72*c - 206*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let f(h) = 143*h**2 + 24*h - 102. Let y be f(-21). Let a(c) = -y - 896*c + 62457. Give g(a(z)).\nAnswer: 1792*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**5 + 34443*d**4 + 67*d**3 - 8010342*d + 2.\nAnswer: -20*d**3 + 413316*d**2 + 402*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 14. Let l be m(-6). Suppose 0 = -l*b + 29*b. Sort b, -2\/3, -1 in decreasing order.\nAnswer: b, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 101, 150, 197, 242, 285, 326?\n\"Answer: -h**2 + 52*h + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2. Let z(u) = 287355432*u. Calculate q(z(o)).\nAnswer: -165146288599813248*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 71 - 29 = 0. Suppose c*w = 4*z - 1, -2*z + w = 2*w + 3. What is the second biggest value in z, -2, -0.3, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/68)\/((-6)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**5 - 16*r**4 + 56*r**2 + 68*r + 24.\nAnswer: -4*(r - 2)*(r + 1)**3*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75043\/3 - -25014. Let g = 0 - -1.5. Let k = g + 5.5. What is the fourth smallest value in -4\/3, f, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -361 * 15.332\nAnswer: -5534.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 45. Suppose 3*q - d = 8. Sort 17, 0, q in increasing order.\nAnswer: 0, q, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, b: 6, w: 3, f: 8, l: 1}. Give prob of picking 1 a and 1 b.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 r when four letters picked without replacement from lhheer?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**3 - 5*n**2 - 14*n - 33. Let z(f) = 4*f**3 + 5*f**2 + 15*f + 33. Let r(w) = 3*l(w) + 2*z(w). Is r(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*v + v = 16, -4*j = -5*v - 36. Let h be (128\/28 - j)\/1. Suppose 0 = -4*a - 4*p + 8, -a + 0*a = 2*p - 4. Is h smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = n - 0*n - 6, -z + 18 = 5*n. Put z, 5, 38 in increasing order.\nAnswer: z, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*f**2 + 990*f - 1016*f - 32*f**2 + 27*f**2 - 15*f**4 in the form o + u*f**4 + a*f + k*f**3 + n*f**2 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10967101 is divided by 1218565?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 557d5 - 14e?\nAnswer: 55686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 1 + 3, w - 150 = -s. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 9*k - 3. Suppose 2*b + 565 - 545 = -m, -5*b - 50 = -3*m. Give v(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**7\/3360 + r**6\/320 - 10*r**4\/3 + 6*r + 3. Let s(o) be the third derivative of h(o). Determine z, given that s(z) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 1a080c?\nAnswer: 1a0807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27612.\nAnswer: 2, 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from yyyyooyoyoj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19109*v = -18746*v - 15246 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 + 6.052. Let z = j + 0.654. Let d = z + -0.006. Which is bigger: d or -1\/14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2551708.\nAnswer: 2, 241, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**6\/60 - h**5\/4 - 9*h**4\/4 + 16*h**3\/3 - 3*h**2 - 18*h + 63. Determine w(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 12 + 3 + 11 - 50. Let g(m) = -4*m. Give k(g(l)).\nAnswer: 12*l - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, -0.8, -12 in increasing order.\nAnswer: -12, -2, -0.8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2254*d**4*h - 461*d**3*h + 4*d**2*h + 12504*d**2 - 42*h wrt d.\nAnswer: -54096*d*h - 2766*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*x + 3*f, -x + 2*f - 7 + 3 = 0. Suppose 2*w + p + 7 = 3*w, x*w - 5*p = 29. Suppose -h - 810 = -w*h + q, 0 = -2*q. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12467 + 23614 = 128*l + 407*l - 30048 for l.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Which is the smallest value? (a) -0.16 (b) -0.01 (c) -1.5 (d) 0.075\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98772109*z**4 + 384*z + 50489?\nAnswer: 1185265308*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.4 in -0.06, -1, -10\/13?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 46 + 78 + 9. Determine a(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12614*b*m - b*y + 4*b - 101*m*y - 3109*y + 18 wrt m.\nAnswer: 12614*b - 101*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1194172, 1194175, 1194178, 1194181, 1194184, 1194187?\nAnswer: 1194190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12645 - -12644. Let m = -2 - -1.8. Sort u, 0.02, m in increasing order.\nAnswer: u, m, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 14715111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1607646 months to decades.\nAnswer: 0.001339705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 17*k**2 + 91*k + 25. Calculate q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 6514998480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -653 (base 11) to base 9\nAnswer: -1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:03 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (26\/(4 + 3048\/(-750)))\/((-4)\/80). Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -22. Let r be (-16)\/4 + 1 + a. Solve -2*b = 2*o, 3*o + r*b - 8*b + 32 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3.84446409 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*j**3*q**2*u**3 - 2*j**3*q*u**2 + 2*j**3*u**2 + 22*j**2*q**2*u - u**2 wrt u.\nAnswer: -120*j**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 294624.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32451, 64892, 97343, 129810, 162299, 194816, 227367?\n\"Answer: q**3 - q**2 + 32437*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.079 - -0.299. What is the closest to 2\/5 in -0.2, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1164*z - 824. Let p(b) = -51*b - 36. Calculate 136*p(n) - 6*y(n).\nAnswer: 48*n + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31809965, -31809966, -31809967, -31809968, -31809969?\n\"Answer: -f - 31809964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 1:44 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/6 + (-4)\/12. Let f = y - 4. Find the third derivative of n - 2*n**6 - n + n**f wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 3*l - 2. Let x(h) be the third derivative of h**4\/12 + 2*h**3 - 8*h**2. Let a be x(-7). What is t(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1, 4, -3101076, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -780659.495 to the nearest 1000.\nAnswer: -781000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -15. Let f(c) = c**3 + 3*c**2 - 10*c - 5*c**2 - 3*c**2. Calculate the lowest common multiple of f(7) and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3940747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.01, -113\/6, -3\/11, 4 in descending order.\nAnswer: 4, 0.5, -0.01, -3\/11, -113\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5543 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001348492 rounded to six dps?\nAnswer: -0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57\/22 + -1\/11. Let j(v) = -v - 2. Let n be j(-3). What is the third smallest value in -1\/3, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597863 is divided by 117?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(10)*-2)\/sqrt(2) - (2 + sqrt(5)*2)) + 0 + sqrt(405)\/sqrt(9).\nAnswer: -sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -349, -13, -1\/6, -7, -2\/15, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 102, -211, -5, 5, 1 in increasing order.\nAnswer: -211, -5, 1, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 7*l**2 + 4*l + 2. Determine x(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -446, -727, -1008, -1289?\nAnswer: -1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:17 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 328816626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13046 and 7799?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20504 (base 6) in base 14?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14394838 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*d - 133*d - 18*d - 175*d + 19*d.\nAnswer: -339*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1041, -4145, -9315, -16551?\n\"Answer: -1033*b**2 - 5*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2100001*j - 2. Let c be g(-2). Round c to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - a**2 + 15*a. What is the tens digit of h(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 247550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 52562368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/40722883 or -1?\nAnswer: 16\/40722883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a factor of 139253029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**2*r**3 + 117*p**2*r**2 - 657*p*r**3 wrt p?\nAnswer: -2*r**3 + 234*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1 - 33) + -2)*(-16)\/6. Suppose d = 4*t + 2*p, 5*t - 3*p = 7*t - 52. Let v = t - 9. Calculate the remainder when 109 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-36))\/((-3 - 0)\/(-9)). What is the closest to 2\/109 in w, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*a - 2 = -4, 2*a + 2 = m. Solve 3*o + o = m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639742.0017 rounded to the nearest 100?\nAnswer: 639700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8757\/(-378) - (7\/(-6) + 1). Let h(o) = o**3 - 5*o**2 + 4*o + 1. Let p be h(3). What is the units digit of l*(-1)\/5 - (-3)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119)*2 + sqrt(119))*-5)\/(sqrt(63)*-5))**2.\nAnswer: 4352\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 4.51.\nAnswer: -18.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/21*(-42)\/(-48). Does 2\/427 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1078 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w + 5. Let n(z) be the second derivative of 10*z**3\/3 + 7*z**2 - 16*z. Determine 14*l(y) - 5*n(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_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: Collect the terms in -63*l + 129*l - 38*l**2 - 3 - 66*l + 5.\nAnswer: -38*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 2*r + 2. Calculate p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2 = -22. Suppose -t*i - 64 = -3*k + 51, -2*k + i + 70 = 0. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959 = -8*n + 1015 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.08 and 22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25254 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5\/2 - 6*b**4 - 43*b**3 + 6*b**2 + 85*b\/2 = 0.\nAnswer: -5, -1, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 942328 divided by -570.\nAnswer: -471164\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*u + 18*u - 2*u**4 - 27*u)*(-1 + 1 + 5*u).\nAnswer: -10*u**5 + 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247642*m**4 - 3032606*m wrt m?\nAnswer: 2971704*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -36, -16, 6, 30, 56, 84?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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 l(q) be the third derivative of q**4\/24 - q**2 + 8*q. Let x(m) = 3*m**2 - 9. What is l(x(t))?\nAnswer: 3*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7573 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150910321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 3*r + 4*r)*(0 - 2 + 0) + 325*r + 122*r - 673*r + 1095*r to the form q*r + t and give q.\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/11 and 52\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71515 divided by 515.\nAnswer: 14303\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 199296551 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -3*v. Solve -v*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-1)*1)\/2*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**2 - 3*p - 12. Let o(i) = 5*i**2 - i - 6. Let f(l) = 4*m(l) - 7*o(l). List the prime factors of f(9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344 less than or equal to 6347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**5 + 60981*c**4 + 915453*c**3 - 1281297*c**2 - 5065014*c - 2929248 = 0.\nAnswer: -16, -1, 3, 20342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 10\/3 (c) -2\/15 (d) -2\/279\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -70*c + 68*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15512 by 7.\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 - 7\/4. Let b = -78 + 79. What are the prime factors of -38*b*1\/q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12230\/13 or -940?\nAnswer: -12230\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-2)\/(1 + 7)). Let h be (-378)\/(-91) - f\/(-26). Suppose -5*g - h*z + 14 = -42, -3*g + 12 = -3*z. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 1, -4, -5, -1 in increasing order.\nAnswer: -68, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1253, -1265, -1285, -1313, -1349, -1393?\nAnswer: -1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9727295 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 31453.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 - (3 + 2 + (-7 - 11))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c + 5. Suppose 0 = -s - s + 12. Let a be x(s). What is a rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*r + 1, 9 = -5*r + 5*w - 6. Let z = -34\/45 + 4\/45. Which is the closest to r? (a) z (b) -2\/23 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51093 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:33 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5\/10 - 21*w**4\/10 + 429*w**3\/10 - 2051*w**2\/10 + 1452*w\/5 - 126 = 0.\nAnswer: -35, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2842)\/3190 - 3\/(-33)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695522374 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1015 = 146*y - 299 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-234))\/(17\/(-34)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 5*r + 60 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -58 (b) 0.6 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 1231?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x - 11. Let v(n) = -2*n + 5. Suppose t - k = k + 6, 5*k = 2*t - 14. Let b(p) = t*a(p) + 5*v(p). What is the derivative of b(s) wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -239 divided by -21\nAnswer: 239\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/51 - 2\/17. What is the second biggest value in 1\/2, p, 3.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(10*v + 124 - 124)*(-1 - 7 + 5).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -2*y**6\/5 + 21*y**5\/20 - y**4\/2 - y**3\/2 + 6*y. Let m(v) = 0. Calculate v.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**3 + u**3 + 12*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10 + (23 - 2618\/110)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 2*r - 1. Let p(m) = m**3. Suppose -5*t + 0*x = -3*x - 23, 4*x + 8 = t. Suppose f + 0*f - t*i + 5 = 0, i - 1 = 0. What is f*s(b) - 5*p(b)?\nAnswer: -2*b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, -22, -588, -1484, -2752?\nAnswer: -4434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157672789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 + 32 + 37)*(2*j + 3*j - 7*j) in the form s + b*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**3 + j**2 - 2*j + 1. Let o be d(1). Suppose -2*f = o*f - 3272. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2391 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 62 = -4*b, -2*d - 2*b - 1485 = -1507 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*q - 29*q + 62*q)*(0*q**3 - 2*q**3 + q**3) in the form s + b*q**3 + g*q**4 + v*q**2 + u*q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -0.2, -0.3, 37\/8, 1\/96 in descending order.\nAnswer: 37\/8, 1\/96, -0.2, -0.3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 576 + -573. Let y be (4\/12)\/(g\/(-18) - 0). Is 29 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from hhvhm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r + 4. Let o be -1 + 0 + (-11 - -9). Give u(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by -12?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 432759707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 163*y - 1. Let p(u) = 294*u. What is p(z(r))?\nAnswer: 47922*r - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 0*v - 2*v + 4*v - 45 as n + c*v and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42984972, 42984973, 42984974, 42984975, 42984976, 42984977?\n\"Answer: i + 42984971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/150)\/((-4)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 26) + -4 + 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/28)\/(-1) + (45800\/(-560) - -23))*2.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 + 18 = 0. Let r(a) = -a**3 + 13*a**2 + 33*a - 45. Let c be r(15). Sort -3, v, c, -1.\nAnswer: v, -3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 6, -9, -37, -12, 1, 4 in decreasing order.\nAnswer: 6, 4, 1, -9, -12, -23, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*(-48)\/660*22.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*w**3 + 4829 + 4874 - 9701.\nAnswer: -158*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**2 + 3 + j**2 - 3. Let x(c) = -3*c**2 - 5. Let d(z) = -2*z**2 - 3. Let r(q) = 5*d(q) - 3*x(q). What is r(i(u))?\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose 2*n = q*f - 0*n + 1058, -3*f + 5*n - 1070 = 0. Let h = -1391\/4 - f. Find the common denominator of -97\/2 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 188, 46, -366, -1186, -2552, -4602, -7474?\n\"Answer: -23*p**3 + 3*p**2 + 10*p + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7306 and 164246.\nAnswer: 171552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -48*q**2 - 5*q + 4. Let b(g) = 96*g**2 + 11*g - 9. Let r(v) = -13*a(v) - 6*b(v). What is the remainder when r(1) is divided by 13\/1 + 6 + -2 + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 4*u + 27. Let m be h(7). Let s(o) be the third derivative of o**4\/12 - o**3 - 3*o**2 + 42*o. Let p(n) = 2*n - 6. Calculate m*s(t) - 5*p(t).\nAnswer: 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, j: 2}. Give prob of picking 2 n and 1 j.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37733 - -37738. Solve 4*p - 2 = 2*z, s*p + 5*z = 48 - 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 - 11. Let u = h + -121. Let p(d) = -2*d**2 + 9*d + 2. Let x be p(5). What is the closest to x in u, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u + u)*(-2*u + 3*u + 0*u) - 2*u**2 - u**2 + u**2 - u**2 + 4*u**2 - u**2 + 7 - 38*u**2 - 7.\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/1551728 and -9\/10592.\nAnswer: 3103456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:09 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = -20. Suppose 3*p = 2*p - s + 6, 4*s = -3*p + z. Let g = p + -3. Solve 2*h - 3 = -g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from olilllhlljll.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74889\/87346 + 3\/12478. Which is the nearest to -1\/3? (a) 3\/7 (b) r (c) 5\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/43, 4, -0.04, 0.3, 5 in descending order.\nAnswer: 5, 4, 0.3, -0.04, -3\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, z: 4, g: 4, d: 2}. Give prob of sequence vzg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3\/6 - 41*z**2 - 153*z\/2.\nAnswer: z*(z - 51)*(5*z + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (2 + 5))*1. Let y(z) = z + 4. Let c be y(q). Let p be (4 - 2 - c)*25800. Round p to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -4*c + 3*w - 1, 0 = c + w + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.7388172 to 1 decimal place.\nAnswer: 19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 48 = -39. Let p(r) = -r**3 - 30*r**2 - 28*r + 32. Let z be p(x). Suppose m - 12 = -3*m. Solve z*w - 35 = -5*j, w + 4*w - 37 = -m*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 415 + 10*r - 415 + (3 - 2 + 1)*(-3 - 2*r + 3).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 7:11 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgsfq. Give prob of picking 1 s and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/13 (b) 0.5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-12) + (-2)\/6. Let k(s) be the first derivative of -2*s + q*s**3 + 1 + 0*s**2. What is the derivative of k(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -664, -661, -658?\n\"Answer: 3*a - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79297293 + 79297273.0000018. Let w = -20 - x. What is w rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-6) + (-10)\/(-15). What is the nearest to q in 1\/9, 0.3, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 2*h + 4*h)*(0 + 23 + 1 - 5*h**2).\nAnswer: 10*h**3 - 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 4802.1?\nAnswer: 4802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 1)*(-1 + 2*j + 1) + 3*j + j - 5*j + (-2 + 3 - 2)*(-9*j + 5*j + 6*j) to m*j + h and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -196 + 297. Let s = i + -102. Is s at most as big as -17\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 4*h - 52702 + 52678, 6 = 5*w + h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-28)\/5))\/((-321)\/1284)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 908800 to the nearest ten thousand.\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihihhiiihhyiiiiif. Give prob of sequence fih.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 7*w - 5. Let o be d(8). Calculate the remainder when 47 is divided by ((-2)\/o)\/(6\/(-216)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -843235 by 137.\nAnswer: -6155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26131 + 26102 + 101 + (3 - 2).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2588976 - -4\nAnswer: 4.2588976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 176658?\nAnswer: -70663.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 22400234203?\nAnswer: -22400234202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 66.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.12*0.09266\nAnswer: -0.0111192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -24. Let b(x) = x**2 - 9*x - 4. Let w be b(u). Let f = w - 5. Solve 3*a = 2*a - f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z + 15*z - 3 - 14*z)*(-z**4 + 0*z**4 + 4*z**4).\nAnswer: 24*z**5 - 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 1 = 2*p, -5*p = -4*k - 14 + 6. Suppose 100 = 4*w + k*r, 20*w - 17*w = r + 62. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3250*t + 3240*t + 473610. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6253 grams in nanograms?\nAnswer: 15625300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 5*p - 2. Let o(y) = 5*y**2 - 48*y - 1. Let h(b) = 6*g(b) + o(b). Give h(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/45)\/((-1)\/20). Let x = -3 + g. What is the lowest common multiple of x and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*f**6 + 4*f**6 + 5*f**2 + 2*f**2 wrt f?\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -9. Let q = -11 - -21\/2. Which is the closest to 1? (a) 2\/3 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 701, 2810, 6325, 11246?\n\"Answer: 703*t**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y - 3 = -22*y - 28, -35*m + 5*y + 1090 = 9*m + 3*y for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*w + 4*q, 598*q = 13*w + 596*q + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -117. List the prime factors of (-168)\/16*((-317)\/f - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158509.\nAnswer: 13, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 3*q - 8*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -4\/21*r**3 + 2\/7*r + 2\/35*r**5 + 30 + 1\/21*r**6 - 1\/7*r**4 + 1\/7*r**2. What is d in o(d) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102207196789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(40))\/sqrt(4) + sqrt(10) + 1*sqrt(810) + sqrt(10))\/((sqrt(500) - -1*sqrt(500)*1) + (sqrt(500) - 5*(2*sqrt(500) + sqrt(500)))).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2153\/7 + -307. Let p = -0.089 + 1.389. Sort p, -1, v.\nAnswer: -1, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - sqrt(192)*-1) + -1*sqrt(3)*1 + 3 + 1*sqrt(3) + (sqrt(147) + 0 + sqrt(147) + sqrt(147) - sqrt(147) - sqrt(147)).\nAnswer: 3 + 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16)\/(l*l**(-4\/3)))**44 assuming l is positive.\nAnswer: l**(-2068\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2312*y**2 - 15*y + 5. Let b(h) = -4257549*h**2 - 27624*h + 9208. Calculate 5*b(d) - 9208*j(d).\nAnswer: 1151*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104145 and 210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -592\/9 <= -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 + -282. Let x = -1097\/6 - h. Solve a - 5\/6*a**2 - x = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (6 - 3 - -162). Find the second derivative of -2 + t*p + 40*p**2 + 152*p - 312*p wrt p.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67722.49 tonnes?\nAnswer: 67722490000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + -32 + 64 + 2 + -5 + 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277 by 1502912.\nAnswer: 277\/1502912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1549*o**3 - 5*o**2 - 171?\nAnswer: -9294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + -22 + 22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 13 = -16. Does 6 divide 15\/(-3) + 87 + i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*q + 1647 - 1251. Sort 4, q, -15.\nAnswer: -15, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.09 - 3.19. What is the smallest value in 2\/7, i, -240?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x**2 + 1. Let o(q) = 112*q**4 - q**3 + q**2 + 4*q + 2. Let b(v) = -m(v) - o(v). Find the second derivative of b(n) wrt n.\nAnswer: -1344*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 0 - 1\/2*w**2 + 4*w - 2\/3*w**3. What is the first derivative of p(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150969 is divided by 843?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77497, -309827, -697045, -1239151, -1936145?\nAnswer: -2788027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-2)*2\/(-5). Let v be -2 - -1 - (-3 - q). Suppose v*r = -9, s + 4*s - r = 218. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30402 and 120.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.076 and -2.\nAnswer: 4.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -r + 12, -6*o + 2*r = 20 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auu when three letters picked without replacement from {g: 1, o: 1, u: 3, a: 5, j: 3, z: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*v + 13 + 2, 0 = 4*v + 20. Let q be 5\/(n\/8) + 8. Suppose 5*g - 612 = -q*d, 5*g - 4*d + 185 = 773. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 36. Let s be 0 + w + -3 - (-28)\/7. Solve 3*n = 2*t + 19, s = -3*t - 2*n - 2*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4353501 (base 6) in base 10?\nAnswer: -217261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**3\/4 + 4125*y**2\/4 + 8315*y + 12495 = 0.\nAnswer: -6, -2, 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a - a + a)*(-9 + 3 + 5)*(5*a - 2*a - 4*a)*(-25 + 69 - 7) in the form z + j*a**2 + s*a and give j.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17639514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105437, -210873, -316309, -421745, -527181?\nAnswer: -632617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/12 and -17\/250.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 0.6 (b) 7 (c) 0.22 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2 + 25 - 2*v + 18*v + v**2. Let s(i) = 363*i - 6185. Let x be s(17). What is p(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + f - 5*f + 145 = 0, 215 = 4*a + f. Suppose -a*b - 2 = -53*b. Let u(s) = s**2 + s. Let l(g) = -9*g**2 - 6*g + 2. What is b*l(t) - 6*u(t)?\nAnswer: 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 171\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) 10\/7 (c) -2\/109 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.09 and 343\/24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(9\/2)*p)\/(p\/(p*p**(-26))) assuming p is positive.\nAnswer: p**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1112221022212021?\nAnswer: -1112221022212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2. Let n be (-2)\/7 - ((-268)\/7 - 4). Let t = -38 + n. Let z(g) = -t + 4 - 6*g + 4*g. What is r(z(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.04 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530882 is divided by 1039?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6243 = 3*f - 29010, 4*f + 26446 = -3*q. Let y = -2861 - q. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2654.6 - -2655. What is the nearest to 1 in 0, -6, m, 4.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*l - 7*l + 3*n, -5*n = l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011100110 - -110?\nAnswer: -10111011100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 v when three letters picked without replacement from wwwvvwwwwwwvvv.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*h**3 + 215*h**2 - 1670*h + 360.\nAnswer: 5*(h - 4)*(h + 9)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eexa when four letters picked without replacement from {x: 3, e: 4, t: 1, b: 1, j: 1, a: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from qgggeageagoa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*r + 903, -21 = 5*u - 6. Suppose y = f + 279 + 25, 0 = y - 5*f - r. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 15 + 15 + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101101000110011011 (base 2) in base 9?\nAnswer: -4706666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*o - 280 = -9*o - 11*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -81 in -0.68, -14, 2\/3, 3, 4\/9, -0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - p + 5*p - 9*p + 13*p - 9*p + 7*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9991789 to the power of 1\/2, to the nearest integer?\nAnswer: 3161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 18. Let f = 20 - q. Calculate the lowest common multiple of f and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5545 - 28011\/5. Let b = 51 + r. Find the common denominator of b and (-4)\/(-18) + 650\/(-36).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70493.\nAnswer: 157, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3306*w**2 - 6. Let a be -2 + (-1)\/1 - (4 - 0). Let c be t(a). Round c to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3*3\/3)\/(-27*(-19)\/34371)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzo when three letters picked without replacement from ozzoodzzz?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 37*l + 20. Suppose -j = 1 + 2, 5*j + 36 = u. Is i(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*v + 104 = 1118*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhihixiihhhh. What is prob of sequence hh?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -947.1630294 to the nearest ten.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/6138857 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 5888. Let t(l) = 4*l + 22. Give t(f(o)).\nAnswer: -16*o - 23530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 divided by -13?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19109*f + 5*w - 22 = -19105*f, -4*w = -4*f - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 17*g. Let v(h) = -74*h**2. Determine d(v(p)).\nAnswer: -1258*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13449? (a) 0.4 (b) 2 (c) 3 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 869\/1582 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s - 1233 = -3168. Solve -47*m + 38*m - s = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -542.4 + 538.4. Which is the third smallest value? (a) -507 (b) -1 (c) x (d) 1 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-96)\/(-378))\/4*(-14)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 91209*y**2 + 51 - 23.\nAnswer: -91209*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 59 - 251 = 0. What is the highest common divisor of h and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - -0.2. Let x = -2.7 - -3. Let h = -7 + 12. Sort v, h, x.\nAnswer: x, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1665868 divided by -17722\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 9:49 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*p**2 + 1245*h*p + 27*h + p - 93 with respect to p.\nAnswer: -2*h*p + 1245*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 - h. Let l(x) = -10*x**3 - x**2 + 2*x. Let u(y) = 6*l(y) + 21*t(y). Suppose u(q) = 0. What is q?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + x + 1. Let r(i) = -36*i**2 + 16*i + 16. Suppose p = 2*l - 18, -2*p + 5*l = p + 53. Give p*f(y) + r(y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 8*h + 3*h - 236 + 201, -3*z - 24 = 4*h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2536, 5069, 7590, 10093, 12572, 15021?\n\"Answer: -r**3 + 2540*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 19*b**2 - 116*b + 155. What is n(8)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 y when four letters picked without replacement from yfffyfy.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 575*w - 1169*w + 598*w + 56*w**2 to the form s + g*w**2 + o*w and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifvffxufixuxufv. Give prob of picking 1 u and 2 i.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882604771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixmeifexmeesime. Give prob of sequence xe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(26)\/(sqrt(2)*2))**2.\nAnswer: -3*sqrt(13) + 41\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -30. Let y = 6 - j. What is the closest to 1 in 3\/5, -2\/7, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2720993405 to 5 dps.\nAnswer: -0.2721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 4*u**2 + 2*u**2)*(u**2 - u + u) - 2*u**2 + 2*u**2 - u**4 + (-4*u**3 + 2*u**3 + 4*u**3)*(-35*u - 16652 + 16652).\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13 = 2*z, -4*f - z + 4*z + 42 = 0. Solve 5*t + f = 8*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 715\/429*3*(-4)\/(-1860)*6?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) -0.2 (c) 1\/8 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -35, 7, 194, -3, 4 in ascending order.\nAnswer: -35, -7, -3, 4, 7, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*b**3 - 612*b**2 - 938*b - 300.\nAnswer: 2*(b - 25)*(b + 1)*(13*b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 (base 5) in base 7?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 543864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 + 160. Calculate the greatest common divisor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) -25 (c) -0.012 (d) -106.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -125040 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*h - 23, 3*h + 0*h = n + 7. Let b be -13*3\/(h\/(76\/12)). Let l = -140 - b. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -46. What is the remainder when 53 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 6*k. Let j(z) = -z**2 + 5*z. Let n(m) = -5*c(m) + 6*j(m). Let d(r) be the second derivative of 2*r**3\/3 - 4*r**2 - 201*r. What is d(n(a))?\nAnswer: -4*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2837 - 1960. What are the prime factors of q?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8233515 is divided by 72861.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2462*i - 87 = 2433*i. Solve 2*u = -3*p + 20, 5*p + i*u - 32 = -0*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(539)\/(1*sqrt(11)))\/(sqrt(847) - (sqrt(847) + -2*sqrt(847)) - sqrt(847)).\nAnswer: 3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2520 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 2. Let r be t(-5). Let o(p) = -1 - 3*p + 6*p - 3*p - p. What is the remainder when o(r) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2542.9 - 2540.9. Which is the second biggest value? (a) -4\/5 (b) 0.06 (c) g (d) -5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/8 - 2\/4. Let f = -1 - -3. Solve -u*t + 7 + f = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m**2 - 65*m**2 - m**2.\nAnswer: -95*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4506279?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -50. Calculate the remainder when 295 is divided by t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*z + 4*j - 20, -2*z + 4*j = 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, o: 6}. Give prob of sequence bbob.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 75*l**2 + 272*l + 9. Give c(-4).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228*u**2 - 16738*u + 16738*u + (-5*u + 4*u + 0*u)*(4 - 4 - u) + (-u + u - u)*(0*u + u + 0*u).\nAnswer: 228*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.65 + -5.65. Which is the nearest to t? (a) -0.1 (b) 2.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6861087.\nAnswer: 3, 211, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*v - 9. Let c be 2\/(2 + -1) + v. Suppose 0 = c*q - q - 9. Solve -q*s - 5 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-13 + -2 + (32 - 22)) - -10 - 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 - 1101?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4163, 8331, 12499, 16667, 20835, 25003?\nAnswer: 29171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 863, 2782, 6509, 12644, 21787, 34538?\nAnswer: 51497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 60*w**5 - 139*w**5 + (2*w**3 - 2*w + 2*w)*(-1 - 2*w**2 + 1).\nAnswer: -204*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 1 + 17 = 0. Let b = h - 5. Let x(q) = -q**3 - 4*q**2 + 1. Determine x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7000871 (base 9) to base 12.\nAnswer: 12b52a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(2\/3)*z*z)**(2\/53)\/(z**0\/(z*z\/(z*((z\/(z\/(((z\/(z\/z**(-4)))\/z*z)\/z)))\/z)\/z)))*((z**1)**(-11))**(-1\/19) assuming z is positive.\nAnswer: z**(26449\/3021)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 20*d + 2023. Calculate w(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 83. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qahhqhaa. What is prob of sequence qq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130183 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: Put 1548, -5, -3 in descending order.\nAnswer: 1548, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(162) + 1 + 5)*-5)**2.\nAnswer: 3600*sqrt(2) + 5650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 24153*m + 169105. Determine s(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/((-3432)\/(-939744)) + ((-48)\/(-11))\/(-8).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 565555516 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2118799110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in centimeters?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 + 2*m - 67390*m**3 + 67455*m**3 - 4 - 3*m**2 to y*m**2 + c*m + g*m**3 + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Suppose 3*j = -3*g + 33, -w*g - 52 = -2*j - 0*g. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115115 and 5720?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 - -119.1. Let c = -7.2 - r. Let q = 3.2 + c. Round q to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-6)\/(-264)*-341?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 10. Suppose 6*n = v + 5*n - 5, -4*n = -5*v + 22. What is the smallest common multiple of 12 and j(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 - 10) - (-18 + 19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 29552*y**2 + 295718*y - 19. What is t(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.1 - -43. Let p = 0.2 - 0.1. Let r = g + p. Sort r, 3, 0.2 in descending order.\nAnswer: 3, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = -18. Suppose -3*z + 6 = -u - 12, -5*z + 5*u + l = 0. Is 6 != z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431 (base 5) to base 12.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 75 = -2*k. Let o = k - -32. Let s = 9 - o. Let g(n) = 3*n**2 - 8*n - 8. Let v(m) = -2*m**2 + 5*m + 5. Determine s*v(h) - 5*g(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -18. Suppose -h = 9*a - 14*a. Solve 3*c = a*s + 6 - 22, 5*s + 2*c = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86192679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 24*l - 44. Suppose 0 = 34*o - 37*o + 12. Does 8 divide w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 23) + 8 + (1 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 + 44259?\nAnswer: 43992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/81)\/((209\/(-66))\/(-19)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 10:14 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -50, -9, 2, -4 in increasing order.\nAnswer: -50, -9, -4, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72090 = -3272*v + 869*v for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.741512614 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -715222 + 23?\nAnswer: -715199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -12*f**2 + 4*f + 1. Let z(u) = 35*u**2 - 11*u - 2. Determine -11*m(c) - 4*z(c).\nAnswer: -8*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 141.49807891.\nAnswer: -141.19807891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-6))\/(t**(2\/13)*t))\/((t**(-1)\/t)\/((t\/((t*(t*t**20*t)\/t)\/t))\/t)) assuming t is positive.\nAnswer: t**(-327\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:32 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - p**4 + 4*p**4 + (60*p**3 + 40*p - 40*p)*(-p + 0*p - p).\nAnswer: -119*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27302686 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -31.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -90, -364, -990, -2136, -3970, -6660, -10374?\n\"Answer: -28*d**3 - 8*d**2 - 54*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17.7 * -0.0082375\nAnswer: -0.14580375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**5 + 6*w**4 + 40*w**3 - 54*w**2 - 36*w = 0.\nAnswer: -3, -1\/2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -199.3 + 199. Put d, -5, 199 in increasing order.\nAnswer: -5, d, 199","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*j - 768 = 437 + 2321 - 575 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*z - 2*j + 72, 0 = z + 5*j - 10. Let g(c) = -4*c + 11. Let w be g(7). Let m = w - -27. Solve -m - z = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 7619?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 7*j**2 + 6*j - 3. Let v be t(-6). Let g(o) = -o - 4. Let d be g(v). Let m(c) = -6*c**3 + 2*c + 1. What is the units digit of m(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116 + 4*d - 34 - 4*d + 3*d**3 + d**3 in the form u*d + h*d**2 + v*d**3 + m and give m.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9849 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1280.7261 smaller than 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 200\nAnswer: -3\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 6, 17, 42, 87, 158, 261, 402?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 5. Let b be (-2)\/5 - 88\/(-20). Let s be v(b). Let x be 2\/(-2) + 0 - -1. Which is greater: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*a + 3*g + 2*g, 12 = -3*g. Let p(q) be the third derivative of 2*q**2 + 0*q + 0 + 1\/60*q**5 - 1\/6*q**4 - 1\/6*q**a. Give p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 = -10. Let c = -10 - m. Suppose 2*v + 5*d - 9 = 0, -3*d = 4*v - 9*v + c. Calculate the lowest common multiple of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*x = -u + 70, 0 = 5*u + 2*x - 64. Suppose -3*h + 0 + u = 0. Solve -17 = -k - h*r, 6*r - r = -5*k + 40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-7)\/s)*s)\/(s\/s**(-2\/19)))\/((s\/(s**(-3\/8)\/s))\/s*s*s*s\/((((s*((s**1\/s*s)\/s)\/s)\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(231\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 18. Which is bigger: -2\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 5 (b) -9 (c) 0.1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 657353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 144. Let j(i) = z*i - 145*i + i**2 - 4 + 0. Let y be j(4). Solve y + 0 = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-3) + 1144\/12 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 - 2*n**4 + 0*n**4)*(-3*n - n + 2*n) + 4*n**5 - 4*n**5 - n**5 - 82*n**5 - 10*n**2 - 12*n**2 + 22*n**2.\nAnswer: -79*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.0575*-0.038\nAnswer: -0.002185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223669453*d**3 + 492921146*d**2 wrt d.\nAnswer: 1342016718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. Suppose 0 = -p + n*t - 151, -3*p + t = -2*t + 498. Let y = -120 - p. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/5, -95, -7, -2\/13, 5 in decreasing order.\nAnswer: 5, 1\/5, -2\/13, -1, -7, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, 67, 69, 73?\n\"Answer: j**2 - 3*j + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -537 take away 24?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -351b8 - 3748?\nAnswer: -38944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 c, and 1 x when three letters picked without replacement from {j: 5, x: 2, q: 1, c: 6, d: 2, r: 1}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 8 + -1 - (-4 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {r: 2, p: 9, u: 2, h: 1, j: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3464433, 6928868, 10393303, 13857738, 17322173?\nAnswer: 20786608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 27, 5 in increasing order.\nAnswer: -2, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/(-1043))\/((-10)\/599563807081). Let r = v - -1207175494. Let u = 1\/745 - r. What is the common denominator of -1\/5 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 - 91. Suppose k*z - 34*z = 0. Solve -h - 4 + z = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5542.195 centuries in years?\nAnswer: 554219.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -5.9. Let j = 6 + f. Let r = j - -0.2. Which is the second smallest value? (a) -2\/3 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-648)\/972)*34\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 32 = -w. What is the lowest common multiple of 3 + -7 + 12 + -5 - -27 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*b = 5*n - 59, -2*n + 8 = 4*b. Let j = n + -7. Suppose -3*x + 0 = -j, 4*x = -y + 8. Solve -c + 3 - y = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 4*m - m)*(2*m**4 - 2*m**4 - m**4 + (0 + 0 + m**4)*(-1 + 0 + 3)).\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -34. Let w be ((-15)\/(-2))\/(6\/37). Let d = w + -46. Which is the nearest to d? (a) 2 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3) + sqrt(243)) + -1 + sqrt(343) + 1)**2.\nAnswer: 35287\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*-1 + (-56)\/(-4). Let g be (4\/6)\/(2\/w). Suppose 3 = c, -5*c = -g*r + r + 12. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 6. Suppose i - 5*u = 80, 0*i - 5*u + 195 = 4*i. What is the greatest common factor of l and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -600489 + 905489. Round m to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 998, 1, -439 in descending order.\nAnswer: 998, 21, 1, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 13.84. Let l = -0.16 + h. Let o = l - -4.000032. Round o to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 811081 = 25*w + 6668582 + 298249. What is w rounded to the nearest 1000?\nAnswer: -246000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -5*y - 11 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288472571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 - 137. Let o = -13 + 18. Suppose -4*h + 5*h = o*w - f, 26 = 5*w + 2*h. Solve 0 = 4*t + 12, -3*t - 2*t = -w*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28931.59 hours to milliseconds.\nAnswer: 104153724000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-5 + (5 - 2) - (-8 - 1))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 10 - 10)*(-3 + 4 + 0)*(-3 - 2 + 4)*(-9 + 3 - 4)*(3*m + 0*m - 4*m).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-20)*(-5)\/(-1). Let o(u) = u**2 + 6*u + 10. Let n be o(m). Solve -3 = n*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*c - 651, -2*c - 1109 = -7*c - g. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4723 rounded to 2 decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140252508 divided by -1416692.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**6\/2 - 6*s**5\/5 - 3*s**4\/4 + 2*s**3 - 18. Factor u(n).\nAnswer: 3*n**2*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74632, 149376, 224120, 298864, 373608, 448352?\nAnswer: 523096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6303273, 12606543, 18909815, 25213089, 31516365?\nAnswer: 37819643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 13, h: 3, p: 4}. Give prob of sequence ptph.\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4\/5 + 22004*b**3\/5 + 88042*b**2\/5 + 66036*b\/5 = 0.\nAnswer: -3, -1, 0, 11006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (25 - 4384\/160)\/((-4)\/590) is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.6407553712 + -4.8?\nAnswer: -172.4407553712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1539) - 5*sqrt(1539))*-6 + sqrt(1539)).\nAnswer: 450*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*2*3 + sqrt(640))\/((sqrt(288) + (sqrt(288)*-2 - sqrt(288)) + sqrt(288))*-1).\nAnswer: 14*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1469, -1466, -1463?\n\"Answer: 3*l - 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 25.167.\nAnswer: 30.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -78683040 divided by -5\nAnswer: 15736608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -885 + 2*(-60)\/40. Is -888 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -33.4 (b) -0.3 (c) -1\/6 (d) -0.1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146\/73*(50\/30)\/((-2)\/9).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 q when four letters picked without replacement from {q: 15, d: 5}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + -2 + -104994)*-20. Round l to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.03 - -0.03. Let m = -11452 + 11453.5. Let v = -3 - -3.2. Which is the nearest to -1? (a) m (b) y (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)*d*d**(2\/23)*(d\/d**(-2\/15)*d*d)\/d**(-8\/3) assuming d is positive.\nAnswer: d**(332\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u\/(u*(u\/(u*u**(-1)))\/u))*u)*u\/u**(5\/4))\/(u**(-1\/4)*u)**40 assuming u is positive.\nAnswer: u**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 2*m. Suppose -20 = -24*r + 19*r. Let k(z) = -z. Let g be (-10)\/(-6) + 5\/15. Calculate g*v(t) + r*k(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 20. Suppose -h*f - 85 = -901. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -bb987?\nAnswer: bb982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25500, -101767, -228868, -406797, -635548, -915115, -1245492, -1626673?\n\"Answer: c**3 - 25423*c**2 - 5*c - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -189?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.4, -1\/377, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3755792 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 - ((2 - 6) + 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 9*b**2 + b - 6. Let c be s(9). Let n be 2 + c + -1*1. Solve -3*g - n = -5*m, 5*g - 2*g + 5*m = -14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 17*c**5\/30 + c**2 + 5*c. Let w(j) = 10*j - 10. Let x(a) = 3*a - 2. Let n(z) = w(z) - 5*x(z). Determine k(n(y)).\nAnswer: 850*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 15*p - 13. Let u be i(16). Suppose 1105 = 4*w + 3*x, -5*w + u*w + 550 = 2*x. Suppose -w = -5*t - 5*t. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 2\/1509, -1\/7?\nAnswer: 2\/1509","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqkccyddxcxccdddcdy. What is prob of sequence cq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*t - 9 = -0*t, 5*t - 36 = -3*n. Let g be n\/9 + 8\/36. Let k(p) = -6*p. Give k(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117409419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752 - 230 = 2*v - 4*t, 5*t + 1285 = 5*v. Calculate the greatest common factor of v and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 6*t - 5. Suppose -2*s - 31 = 3*r, -5*s - 19 = -3*r + 4*r. Let l be ((-3)\/r)\/((-2)\/(-72)). Suppose -z + l = -3*z. Give m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 825521.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-192))\/((-336)\/(-448)))\/(630\/(-144))\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 2534940*r - 30419312\/3.\nAnswer: 2*(r - 3802414)*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*k + 111*k + 103*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11571 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -0.1106.\nAnswer: -3.8894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -42*z + 41*z + 5*o, -2*o = -2*z - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578726 is divided by 378.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 9:39 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137153044?\nAnswer: 2, 7, 4898323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 756.785l in millilitres?\nAnswer: 756785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -1, 57, -5, -28\/17?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 39728 = 556197\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2\/11 + 77492*c\/11 - 30996\/11 = 0. What is c?\nAnswer: 2\/5, 15498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16765.9 + 16766.5. Let g = 2.98 + 0.02. What is the third biggest value in -1, w, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 23042\nAnswer: -3\/11521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 115 - 805 = 51*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 77. Suppose 8*f - 90 = b*f. Calculate the highest common divisor of f and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2115.716 + -2683.49. Let u = 568 + z. What is the third biggest value in 4, u, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60861110 divided by -14290?\nAnswer: 4259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**5\/5 + y**4\/12 - 3*y. What is the third derivative of h(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 19*v - 2. Suppose -87*n + 300 - 300 = 0. Determine r(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/4 + 109*i**4\/8 - 169*i**3\/8 - 53*i**2\/8 + 167*i\/8 - 7 = 0. What is i?\nAnswer: -56, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -174973000 to the nearest one hundred thousand.\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*j + 2*d, -541*j - 24*d - 23 = -540*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-2 + 21815\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227552649 to the power of 1\/3, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7268 + 12623. List the prime factors of m.\nAnswer: 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:33 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(-1*sqrt(384)) + -5)*-1)**2.\nAnswer: 5*sqrt(2)\/4 + 801\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -14, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxwh when four letters picked without replacement from {u: 2, w: 2, x: 1, k: 1, h: 4}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yygyssygysyysy?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5165 + 5821. Solve q*i = 665*i - 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38722)\/532 + 73)*154\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078 is divided by 572.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32213?\nAnswer: 32213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p = 4*b + 185, 74*b - 25 = -5*p + 69*b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25262 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 280 = 0. Let c be (2 + -2)*1 + -22 + 30. Calculate the greatest common divisor of z and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24930 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 45 = 3*n - 8*n, 4*n = 0. Let a = 7 - h. Let w be (-1)\/(-1 + (-22)\/(-23)). Are a and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103640 * 76.\nAnswer: -7876640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206919239?\nAnswer: 47, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185536 (base 11) to base 6.\nAnswer: -10041354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*-1*(1 + sqrt(272)))**2*5.\nAnswer: -147420 - 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**4 - 17066*f**3 - f**2 + 21443642*f?\nAnswer: -72*f**2 - 102396*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.16 (b) 32 (c) 5\/3 (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1152 and 483115968?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 7*(-32832 + -1). Let f = -499831 + j. Let c be f - ((6 - 2) + -1). What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 2 - (3 - -463). Let d(y) = -74*y**3 + 5*y**2 + 19*y + 11. Let n be d(-2). Let r = k - n. Round r to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4*-2*(-851 - 2). Let y = 1332 - g. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108549371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 536304 and 44692.\nAnswer: 536304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2.19, 2.\nAnswer: 0.3, 2, 2.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2184*j**2*t**4 + 258*j**2*t**2 - j**2*t - 3*j wrt t.\nAnswer: -52416*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 - 5)*(-194 + 194 + 255*j**4).\nAnswer: 2295*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-4) - 1\/2. Let h(t) = 10*t**3 - 2*t**2 - t + 4. Is h(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - c. Let v = -12 + 6. Let a(t) = -7*t**2 + 4*t. Determine v*q(h) - a(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2101612\/3 + -707857. Let z = -9398509\/1284 - b. Find the common denominator of z and 13\/16.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-55)\/10*7\/(21\/(-18)). Let s = l - -34. Which is bigger: s or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -176.02 or 58554?\nAnswer: 58554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (-2 - (-1 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*h + 89213 = 0, -55*j + 58*j - h = 89225. List the prime factors of j.\nAnswer: 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**2 + 3*i**3 - 11 - 5*i**2 as n*i + o + c*i**3 + p*i**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.007.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Let k be 10\/6*(n - 16). Is (-1)\/(-5) + (-416)\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2, -0.17, 6 in ascending order.\nAnswer: -2, -1\/2, -0.17, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d = 1453 - 1700 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8196 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*o - 474 = 0, 3*l + o - 494 = -2*l. Calculate the remainder when l is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3815301839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4220 and -0.7.\nAnswer: 4219.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 176*i**5 + 2*i**2 + 34*i - 94.\nAnswer: 3520*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -974808, 1, 2 in ascending order.\nAnswer: -974808, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -469 or -462?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -756296, -1514672, -2273048?\n\"Answer: -758376*p + 2080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 169 and 13?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 2. Let s be q\/(4*(-1)\/(-10)). Suppose 46 = -5*h + 28*h. Solve 0 = 2*z - h*i + 14, 2*z - s*i + 11 = -15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 5, n: 5}. Give prob of sequence ii.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*l**3 - l**2*r*x**2 + 6901*l**2*r + 4*l*r*x - 5*l*r + 14*l*x**2 + 26*l*x + 2*x wrt l?\nAnswer: 72*l - 2*r*x**2 + 13802*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Let x be 7 - (j + -2)*-1. Solve -15 = x*l, -l - 2 = -0*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(968)*1)\/(6*sqrt(4)*-1).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, -0.173, -0.5?\nAnswer: -0.173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g. Suppose 0 = 3*y + 2*y + 10. Let l(k) = -5*k. Let x(z) = 2*z. Let j(u) = 3*l(u) + 7*x(u). What is y*h(a) + 2*j(a)?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 10) to base 3\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - 3*k + 7*k + (3*k - 2*k + k)*(-1 - 2 + 1) + (-3 - 4 + 5)*(-8*k - 25 + 25) - 2 + 2 + k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - -9) + (4 + -26 - -15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -221.508 - -221.51113618. What is i rounded to four decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31894 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = y + 4, 4*b = y + 24 - 10. Let m be (-117)\/(-3) + (2 + y)\/2. Let v = m - -5. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5 - (-1079)\/65. What is the third derivative of 20*u**2 + w*u**5 - 4*u**5 + 0*u**2 + 12*u**5 wrt u?\nAnswer: 1440*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 231*b - 13289. Give o(-111).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -97. What is the smallest common multiple of 40 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 839895 divided by -55993.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -242 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-4)\/(-30)*-10. Solve b + 5 = -2*f, -4*f = -b + 5 - t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1206\/8 - (-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b1b82 (base 16) to base 4\nAnswer: -2301232002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 1 - 3*z + 6*z. Let o be s(-2). Suppose -t = o - 22. Calculate the remainder when t is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12639447 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 4*r + 185. Give o(0).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288655 divided by -57731.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awua when four letters picked without replacement from awaawwwuaaaawwaaa.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*c**2 + 70*c**2 + 155*c**2.\nAnswer: 151*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 31*t + 3051. Let g be j(-98). Solve 3*m = p - 10, -2*m - g = -3*p + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8)\/(7\/70). Sort i, 0.2, 1, -1 in descending order.\nAnswer: i, 1, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighty-seven fifths of a millennium?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48112 + 30084. Is 3\/6*t*(-3)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1429693.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*14\/(-6 - (-4 + 0)). Let f(y) = -53*y - 47. Let z be f(j). Let a = -224 - z. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**5\/20 - n**4\/3 - 5*n**3\/6 - n**2 + 6*n. Let r be b(-3). What is the first derivative of -d + d - 4*d**r + 7 wrt d?\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c72 (base 15) to base 4.\nAnswer: -12131000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**4 - 10845798*r**3 + 118*r**2 - 3187241*r wrt r?\nAnswer: -24*r - 65074788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 - 38975952*p = 0.\nAnswer: -12991984, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*9*4\/12. Suppose -2*y - 17 = -b*w, 5*y + 2*w - 7 + 2 = 0. Let p be 3*(y + (5 - 3)). Solve 0 = 2*v - v + p*d - 2, -4*v - 4*d + 16 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -5*p**3 - 460*p**2 - 1335*p = 0.\nAnswer: -89, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970097569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 + -61. Let l = s + -55. What is the remainder when l is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 2*g - 206 + 214, 12*w - 3*g = g + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-315))\/(9\/(-42))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64404 - -90850. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6613, 6605, 6593, 6577?\n\"Answer: -2*f**2 - 2*f + 6617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 + 316\/(-10). Let u = a - -46. Suppose -4*q + 268 - 100 = 0. Calculate the greatest common factor of q and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**3 - 2*t**3 - 2*t**3)*(-2*t + 2*t - 2*t) + 5*t - 2*t**4 - 5*t + (-t**4 + 2*t**4 + 2*t**4)*(-4 + 2 + 0).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 8*v + 10. Let f be b(7). Suppose -z - 105 = h - 3*h, -f*z - 103 = -2*h. Let p = h - 28. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 88, 177, 266, 355?\n\"Answer: 89*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49827 take away -7.18?\nAnswer: 6.68173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 805*o - 10009 - 4481 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 986 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9657*j**2 - 487*j wrt j.\nAnswer: -19314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 36*x = 29*x - 127296. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (12 + -31 + 9 - -18)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 800*q - 69587. What is y(81)?\nAnswer: -4787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgtxzzllg. Give prob of sequence zx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(39)\/(sqrt(15)\/sqrt(5)) - (sqrt(104) + sqrt(104)*1)\/sqrt(8))**2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*w + 1 - 39*w**3 - 7*w**3 - 78*w to the form v*w**3 + c*w + u*w**2 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106568 and 210?\nAnswer: 1598520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 2:06 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 630339642*a**4 - 6*a**2 - 3399817*a.\nAnswer: 15128151408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 33\/((-330)\/4)*(210\/(-4))\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 + 133. Let d(l) = l**3 - 5*l**2 - l - 29320. Let u be d(r). Round u to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 264*x**2 - 527*x + 80. What is h(266)?\nAnswer: 1410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4213*0.25\nAnswer: -1053.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-79044)\/(-42) - (-1 - ((-8)\/(-4) - -1)). Calculate the highest common divisor of 46 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (0 + 1*sqrt(704)*1)**2.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r = 59 + 66 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1075 (b) -6 (c) -2\/3 (d) -0.04 (e) -4 (f) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -11*h**8\/84 - 4*h**4\/3 + 24*h**2. Find the second derivative of y(l) wrt l.\nAnswer: -880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/5 + 8873*o\/5 + 49532 = 0. What is o?\nAnswer: -8845, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80640 and 8?\nAnswer: 80640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50\/3 - 16. Let p = 143 + -140. Factor 2*u + z*u**p - 2*u**2 - 2\/3.\nAnswer: 2*(u - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/(-28) - 36\/(-16). Let g be ((-6)\/(-15))\/((-12)\/(-10)). Which is the second smallest value? (a) -0.1 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (63 - 69 - (26 + 3))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 23*g + 1054*g**3 + 42*g**5 - 1054*g**3. Let m(t) = 43*t**5 + 24*t. Let i(z) = 5*d(z) - 4*m(z). Find the second derivative of i(v) wrt v.\nAnswer: 760*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 4, c: 2, z: 4}. What is prob of picking 2 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2131572146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 4*g + 98 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 25 = -2*h, -h - 44 = -5*h - 4*x. Suppose 0 = -p + 3*p - h. Let o(u) = -u**3 + 5*u**2 - 6*u + 3. What is o(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**3 + 4*j**2 + 2*j - 8*j**2 + 7*j**2 - 4*j**3 to the form f + d*j + a*j**2 + r*j**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -27. Suppose 3*x - 4*y + 19 = 0, 4*x + 4*y + 8 + 8 = p. What is the hundreds digit of 1641\/15 + 2\/x - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 558, 1111, 1666, 2223, 2782?\n\"Answer: p**2 + 550*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 132\/352 - (-15)\/24\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10653446 (base 7) to base 9.\nAnswer: -1678182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7 + 7 + 31479*t**3 - 8*t**2 + 2*t**4 - 33507*t**3 - 342*t wrt t.\nAnswer: 48*t - 12168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 5*b**2 + 5*b + 2. Let n be -3*(2\/(-3))\/2. Let c be 31 + -3 - 2\/n. Suppose 3*l + 2 = 3*g + c, -l + 2*g + 12 = 0. Calculate f(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300321, 300290, 300259, 300228?\nAnswer: 300197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukkvkkykkvkkk. What is prob of sequence yku?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-279)\/(-39) + 8\/(-52). Let h(f) = 16*f - l + f - 23*f - f**2. Calculate h(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h = -3*j + 6, 0 = 2*j + 3*h - 4. Find the second derivative of 7*q**j - 50 + 50 + 8*q wrt q.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 480 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xht when three letters picked without replacement from kwwkktxlkwlklkh.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aibtttrrtra. What is prob of sequence rrbr?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z - 10 = 0. Is 14 a factor of (-4 - z) + (3 - -20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.686 + -0.69. What is s rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16047 - 0.23953. Let c = -10 + 15. Let n = -8 + c. Sort 2\/5, n, -2, r in decreasing order.\nAnswer: 2\/5, r, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 36719.\nAnswer: 12\/36719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 3539241.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 30 = 130. Is y\/(-12)*2514\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 2. Let g(j) = -183*j**2 + 149*j + 6. Let q(z) = -g(z) + 3*l(z). What is the second derivative of q(i) wrt i?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/28197 and -67\/234?\nAnswer: 56394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/157? (a) 0 (b) -2\/9 (c) 2 (d) 0.1 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -5*x - 3*v + 27, 15 = 4*x - v. Suppose x*c + 5*s - 4 = 0, 1 = -4*c - 5*s + 8. Solve c*w + 1 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z + 0*z)*(1349 + 48*z - 672 - 678).\nAnswer: 96*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3560 - 0.05.\nAnswer: -3560.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14404 (base 6) to base 8.\nAnswer: -4404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12229 + -12208. Solve f*c = 167 - 41 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49 + 1*0\/2. Let h = i - -110. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 31.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.014 and 12.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 113 = -4*b + 505, -2*b + 94 = m. Let j(x) = -x**3 + 6*x**2 - 3*x + 3. Calculate the remainder when m is divided by j(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-43 - (6 + -10)) + (2 - -51)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.042 + 13.442. Let t = v - 13. Which is the biggest value? (a) 0 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-1) + 21)*(-24)\/16. Let r be (-3 - 3)*h\/2. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9764 + 14973. Suppose -f - 5*i - 1673 = -g, -2*f + 7027 = i. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1143, 982, 817, 648, 475, 298?\n\"Answer: -2*z**2 - 155*z + 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08755153641 from -2.3.\nAnswer: -2.21244846359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30565124 is divided by 38690?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m - 44*m + 28*m + 86*m.\nAnswer: 123*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -298, -2\/27, 0.2, 23, -5, 7 in ascending order.\nAnswer: -298, -5, -2\/27, 0.2, 7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 - 15 = 4*c, -3*a + 24 = -3*c. Let k be (19 - 0\/c)*3. Suppose 0 = -2*z - k + 17. Which is bigger: -21 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13028 or 12720?\nAnswer: 13028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 110647877, 110647879, 110647881, 110647883, 110647885?\n\"Answer: 2*p + 110647875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -72337.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607*p + 6611 + 9778 = 0 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (-3 - -1 - -3) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 85.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -1. Let w = h + 0.3. Let q = 213.3 - 216.3. Which is the second biggest value? (a) q (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 7 + 16 - 561*l.\nAnswer: -561*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288735114*p**5*q**2 + p**2 + 478*p*q - 1246*q**2 - 2*q - 2 wrt p.\nAnswer: 17324106840*p**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 17*k - 19. Let t be m(-13). Suppose -5*y + t = 8. Differentiate -2 - 4 - y*x**2 - 5*x**2 - 2 wrt x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5788356553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f - 78. Let h be t(-7). Solve 0 = h*u + 13 + 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 9.8. Let m = 11 + i. Let v = -1.0013 + m. What is v rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16284, -19786, -23292, -26802, -30316, -33834?\n\"Answer: -2*z**2 - 3496*z - 12786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002895 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 5:12 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335096 - 334906 = 19*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2068078.\nAnswer: 2, 37, 27947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = -y, 3*q = 60*y - 56*y + 7. Suppose -1648 = -y*x - 88. List the prime factors of x.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 41. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 774404, 3097596, 6969582, 12390362, 19359936, 27878304?\n\"Answer: 774397*z**2 + z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (525\/(-300))\/(3\/(-96)*-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h + 25. Let d be o(0). What is the highest common factor of 175 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -231. Suppose 11*h = c - 123. Solve 2*u = u + h*f + 4, 3*f + 5 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 - (3 + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 15 = -i, 0*i - 2*i = -2*x - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (11 - 40) + 59.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/672142 and 15\/14.\nAnswer: 4704994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**3 - 9*w**3 + 0*w**3)*(w - 1 + 1 + (1 - 17 + 1)*(w - 2 + 2)) as p*w**2 + h + o*w**3 + m*w**4 + d*w and give m.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41 - 11*p + 1767*p**4 - 3527*p**4 - 227*p**5 + 1763*p**4 wrt p.\nAnswer: -4540*p**3 + 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1879, -34, -0.058 in decreasing order.\nAnswer: 1879, -0.058, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 35*d**2 + 24*d + 83. Calculate v(-18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/21 - -2\/7. What is the second smallest value in 5, o, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*h**4 - 5578*h**3 - 65*h**2*w + 3361*h*w + 144*w wrt h?\nAnswer: -216*h**2 - 33468*h - 130*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249\/4 greater than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -24*c**2 + 6*c**2 - 8*c**2. Let g(b) = -b**2. Determine g(o(w)).\nAnswer: -676*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 50 = -7*c. Determine x so that c - 10*x + 20*x**2 - 20*x + 5*x - 5*x**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 568 - 581. Is y smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17539 - -28968. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a - 32*a + 53 = 47*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, t: 6, b: 4, r: 6}. What is prob of picking 1 t, 2 d, and 1 r?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -51*m + 514. Suppose 2*g = -2*g + 24. What is the least common multiple of g and v(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2934 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 24 = m, 5*m - h + 30 + 104 = 0. Let f = 41 - m. Let v = 77 - f. Solve -3*g + 0*g = -v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 28. Let y = 5364.285999575 - 5373.286. Let d = y + g. What is d rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*v - 3*v + 2, 2*z = v. Suppose 5*w - 350 = -4*t, 0 = -w - z*w + 4*t + 178. Suppose -698 = -4*h + w. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 739\/166 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -123671 and -7?\nAnswer: 123664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 71. Let w = 13.86 + -13.56. Sort i, 0.4, w, -2\/3 in decreasing order.\nAnswer: i, 0.4, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1132204030?\nAnswer: 1132204024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21721501.\nAnswer: 97, 151, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16093041 or 6?\nAnswer: -16093041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15294908 to the nearest integer?\nAnswer: 3911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.887983 rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255828 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -37*d**3 - 2*d**2 + 3*d + 5. Is k(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21212010 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -3, -2\/3, -4\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 665*a + 53988. Calculate w(191).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 185530837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, u: 2, i: 3, a: 2}. Give prob of picking 1 i, 2 a, and 1 s.\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -28 - (8 + 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 - 4*k - 167 - 167.\nAnswer: -4*k - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t. Let c(r) = -1. Let g = 30 - 34. Let y(o) = g*c(o) - j(o). Determine y(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -444*g**5 - 302780*g**4 - 282824*g**3 + 321848*g**2 + 283268*g - 19068 = 0. What is g?\nAnswer: -681, -1, 7\/111, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from xwwwwewepmezmmwwpmew?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 49.25541ns?\nAnswer: 0.0000000008209235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -4*z - 4, -864*p - 4 = 3*z - 865*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00073682 to six decimal places.\nAnswer: -0.000737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5 = -0*a - a, -5*u = 10. Let o be 13\/(a\/(-5 - -2)). Let q = 18 - o. Solve 1 = q*h - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.843 (b) 0 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*sqrt(7) - sqrt(7) - sqrt(84)\/(4*sqrt(12)).\nAnswer: 11*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, 1 i, and 1 v when four letters picked without replacement from vwvjweibvwvi.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/41 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2082939 or -2083440?\nAnswer: -2083440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - m = -36, -5*m - 9 = -3*l + 9. Suppose -l*o + 7*o + 32 = 0. What is the remainder when 23 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4176042689*d**2 + 4*d**3 + 4176042689*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-68)\/51 - (-8)\/6. Suppose q = 3*m + 8*m - 110. Solve m = -4*d - 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2597 = -2*h + 2613, -5*h + 16 = q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408754?\nAnswer: 2, 204377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/9 + 74*z**3\/3 - 4426*z**2\/9 - 3170*z\/3 - 4864\/9 = 0.\nAnswer: -128, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1777, 1, 5 in descending order.\nAnswer: 5, 1, -8, -1777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(125) - (0 + sqrt(125) + 2)) + -1 + sqrt(125) + -2 + (-2 + sqrt(125) + sqrt(125) + 3 + -2)*-4)**2.\nAnswer: -140*sqrt(5) + 6129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -436.114 to zero decimal places.\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/204 and 115\/78.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 429\/5 + -86. What is the third smallest value in a, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let h(i) = -i**2 - 4*i + 7. Suppose -2*f - 9 = 3*x - 0*x, 0 = 4*x - 2*f + 26. Let a be h(x). Let v(k) = -4 - 2*k**a + 4 - k**2. Give v(b(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 12 = 2*d. Let m(l) = -5*l**2 - 8*l + 2. Let y(s) = s**2 + 1. Let p(j) = m(j) + 4*y(j). Does 13 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from uppqmufqlpu?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c*f**2*t**2 + 3*c*f**2 - 7*c*f*t**2 + 113*c*t**2 wrt f?\nAnswer: -4*c*f*t**2 + 6*c*f - 7*c*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5952094 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483973 is divided by 80647?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**2\/4 - 9*c\/2 - 21\/4 = 0?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 + 310 = 165*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6814291 to the power of 1\/2, to the nearest integer?\nAnswer: 2610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59585\/9 + -6628. Let k(z) = z**3 - 8*z**2 - 3*z - 9. Let y be k(6). Find the common denominator of (-6)\/33 + 488\/y and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*v + 170, -4*v + 56 = -5*c - 159. Let m = v - 56. What is the second derivative of 36*d**m - 11*d**4 + 11*d + 7*d wrt d?\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4366*x**2 - 4*x - 3. Let k be t(-2). Let n = k - -11770. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 4:02 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 263424739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 1, z: 1, b: 1, w: 1}. Give prob of sequence zob.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -6331.8274 and -147.534.\nAnswer: -6479.3614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5884 times -1.5729?\nAnswer: -0.92549436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (37 + -8 + -7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-5*s + 4*s - 16*s) + s - 1 + 1.\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7510729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45.721 and -4.64?\nAnswer: 212.14544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 1. Let f be d(-3). Solve -1 - f = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*n + 1851 = -177*n + 259*n - 3969 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 7 + 73*o - 10*o.\nAnswer: 64*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:51 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -24*o**5 + 159*o**4 + 303*o**3 - 294*o**2 - 144*o = 0.\nAnswer: -2, -3\/8, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**1*h*h)**(5\/3))**48)**(2\/25))**13 assuming h is positive.\nAnswer: h**(1664\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382 + 386 - 1901 + 375 + 382 - 10*z + 380.\nAnswer: -10*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - a + 9, 21 = 2*b - 3*a + 31 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 4\/3 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*c + 38, -c + d = 6*d - 6. Let h(u) = 4*u + 57. Let o be h(c). Calculate the highest common factor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 27*y - 3. Let b(j) = -6*j + j**2 - 12*j + 17*j + 3 + 0*j**2. Let p(s) = 3*b(s) + 3*f(s). Let p(g) = 0. Calculate g.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000348 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.167101772 and -0.5.\nAnswer: 0.083550886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3986, -3780, -3574, -3368?\n\"Answer: 206*g - 4192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148026101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 8932.\nAnswer: -1\/4466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*m - 4 = 0, 2*m = 3*k - 3 - 0. Let o(r) = 2*r**2 - 8*r + 8. Calculate the lowest common multiple of k and o(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*t = 224*t + 20*b + 384, t - b - 18 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*q = -702 + 419, 3*v - 2*q - 275 = 0. What is the remainder when 191 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0136225 * 1.\nAnswer: -0.0136225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 4*q = -3*f - 2, 2*f + 61*q = -126 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 44*x**2 + 221*x - 265. Calculate t(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 13*a - z = -9*a + 9, -5*a - 43 = 11*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178917642 divided by 6.\nAnswer: 29819607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*(m*m*m*m*(m*(m\/m**(-1\/4)*m*m)\/m*m)\/m*m*m)\/m)\/m)**(7\/4))**(2\/9) assuming m is positive.\nAnswer: m**(259\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - z - 4*z + 0*z. Let m(r) = -34*r. Calculate m(a(v)).\nAnswer: 238*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.3694 to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11836.\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15949 + -1658635\/104. Find the common denominator of z and 93\/286.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/8 - 19*r**2\/4 + r\/8 + 19\/4.\nAnswer: -(r - 1)*(r + 1)*(r + 38)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 2, v: 4, u: 7}. What is prob of picking 1 u and 1 b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14632 (base 8) to base 5.\nAnswer: 202204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c + 12*c - 6*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/31)*w*(w**(-16)*w)\/w*(w**(-3\/4))**(5\/9))**27 assuming w is positive.\nAnswer: w**(-51507\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbvt when four letters picked without replacement from {t: 6, b: 4, v: 1, w: 6}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2133629 - -2133629. Factor 25\/6 + v*k - 1\/6*k**2.\nAnswer: -(k - 5)*(k + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4155\/8, -0.05, -2, 2\/5?\nAnswer: 4155\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/117 - (-22)\/26)*-1. Let d(j) be the third derivative of j**5\/60 + 5*j**4\/24 - j**3\/6 + j**2. Let k(c) = c. What is f*d(h) + 3*k(h)?\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 9*n**2 + 4. Determine a(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 - 311809440*k - 6076570429569600 = 0. Calculate k.\nAnswer: -38976180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c + 15. Let a(q) = 2*q**2 + 0 + 0*q + 4 + c*q. Let i(z) = -6*z**2 - 8*z - 11. Let u be (-256)\/(-72) - 4\/(-9). Calculate u*i(v) + 11*a(v).\nAnswer: -2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1206431 + 585394 = 0. Let z = 869825 + h. Round z to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 979 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711236?\nAnswer: 2, 269, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from fjqvjjz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 55222356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*j - 2 = 1, 3*q - j - 13 = 0. Let k(c) = -c**2 - c - 1. Let i(r) = 4*r**2 + 3*r + 6. Calculate q*k(y) + i(y).\nAnswer: -2*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15093 (base 11) to base 9\nAnswer: 32315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16268, -65224, -146818, -261050, -407920, -587428?\n\"Answer: -16319*p**2 + p + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 1145*p + 1141*p - 12, 18 = 2*t - 5*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 189952.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 6. Let i = h - 422\/7. Which is the nearest to i? (a) -2\/3 (b) -5\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxyxxxxxxxx.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*y + 12 = -3*q, q + 10 = 3*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 27*n**2 + 140.\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 20. Let q = t - 2. Which is the nearest to 0? (a) q (b) -0.4 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -29.86. Let d = 0.26 + -0.2. Let u = v - d. Which is bigger: u or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 38, 89, 172, 287, 434?\n\"Answer: 16*x**2 + 3*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20394837*u + 20394837*u - 9*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -659 divided by 73?\nAnswer: -659\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 19*z - 13. What is k(-11)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-87 - (9 - 12 - (-8 - (11 - 3))))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (227502\/(-155115))\/((-22)\/12)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (38 - -7) + -24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2595 and 7785?\nAnswer: 7785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1569280*n + 1570963*n + 112761 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.519 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-2)\/(22\/(-1))). Let n(g) be the third derivative of -g**4\/3 + 4*g**3\/3 - g**2. Let k(y) = 15*y - 15. Let d = -2 - 4. What is d*k(b) + t*n(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d - 9. Let a be v(-6). Let x(h) = -12*h + 474. Let s be x(37). Calculate the highest common divisor of s and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = i - 5*z, i + 5*z - 432 + 473 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-794.\nAnswer: -3970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 8*j. Suppose -10*b = -8*b - 5*o - 20, 3*b = 4*o + 37. Let g be 6\/(-4)*(4 + (-70)\/b). Let x(s) = s. What is g*q(t) + 5*x(t)?\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-37 - (-67 + 46)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -10, -1726, -4, 29 in descending order.\nAnswer: 29, 3, 0, -4, -10, -1726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 7 (b) -86\/3 (c) 13 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**3 - o + 1. Let b be (1 + -2)\/(4\/(-4)). What is the units digit of f(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2)*-1)\/((-29)\/(-116))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12133321 + 332321?\nAnswer: 13132302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - sqrt(110)*3) + sqrt(110) + sqrt(110) + sqrt(110))\/sqrt(5))\/(-6*(sqrt(2) - sqrt(128)) + sqrt(2)).\nAnswer: sqrt(11)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p**3 - 2*p + 2. Let f(q) = -12*q**3 + q**2 - 3*q + 3. Let n(w) = -2*f(w) + 3*l(w). Find the third derivative of n(o) wrt o.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27, -17, 5, 45, 109?\n\"Answer: q**3 + 3*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4067 - -0.0933. What is the nearest to -5 in 0.2, g, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285156.\nAnswer: 2, 321289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + o**3 + 0*o**2 - o - 2*o**3 + 1. Let x(v) = 9*v**3 + 4*v**2 + 5*v - 4. Let b(d) = 4*p(d) + x(d). Find the second derivative of b(g) wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338736873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 times 0.059?\nAnswer: 0.01888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010000010011 (base 2) in base 3?\nAnswer: 1002112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -635445514 + 635445670.9999324. Let v = 157 - x. Round v to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {h: 4, a: 9, e: 2, v: 1, u: 3}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/9)\/a*(a\/a**(4\/5))\/a*((a*a\/a**(3\/22))\/a)\/(a*a*a\/a**(-14\/5)) assuming a is positive.\nAnswer: a**(-7109\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*x = 5. Let s(k) = -149*k - 2235. Let n be s(-15). Solve -o - x*o = n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7 = -5*w, -3*t - 4*w - 5 = 17. Let f = 21 - t. Suppose -2*o + s + 13 = 0, 4*o - f = s - 0*s. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(-4*u - 2*u**2 + 4*u) + 2 - 3 + 25*u + 10*u**2 - 28*u to a*u + p*u**2 + s and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -5) + 13 + 2. Suppose -a = -4*w - 2*a + c, 2*w + 3*a = 4. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8427, 16523, 24607, 32673, 40715, 48727, 56703, 64637?\nAnswer: 72523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -101, -98, -95, -92, -89?\n\"Answer: 3*k - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1)\/(0 - 4\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -21 - 212*h**2 - 18*h**2 + 21. Let s(f) = -f**2. Determine y(s(q)).\nAnswer: -230*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x - 32. Calculate f(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65747*c - 66132*c + 11550 = 0 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 272 and -3.2.\nAnswer: -870.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155.5 + 12.2. What is s rounded to 0 dps?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -413*f**3 + 21*f**2 + 32*f + 211. Is i(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20152 is divided by 192.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 61. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2*k**3\/3 + 3*k**2\/2 - 9*k - 17. Let j be c(-5). Let m = 69 - j. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.2 + -5. Let u = l + -0.2. Is u at most 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11*l + 7*l - 21 = 0, -13 = 3*a + 4*l. Let f be 17 + -8 - -15 - (3 + a). Solve -4*s = 4*c - 0 + f, -5*c = s + 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 8) to base 12.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 266170.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7430415.277 to the nearest one thousand.\nAnswer: 7430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 38*l = -67*l + 54 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37735\/6 - -6273. Find the common denominator of i and -7\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 9120 = -4*n, -9*t = -5*t. What is n rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.5 and -5.36.\nAnswer: -45.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 6*s + 428 - 296, 0 = -3*h + 2*s + 57 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70984 and 4712?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + -1.94. Let q = v - -3. Let r = q - 1. Which is greater: r or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228290537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:11 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.6 - 9.7. Let t = -2.9 + m. What is the second biggest value in t, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*r - 59*r + 1796 = 27*r + 228*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (4 - (-712)\/(-12)*24\/2584*17)\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(99)\/(-3*sqrt(9)))**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 25, -17 = t - 5*b. Solve 2*d = t*d - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvkkkvkkkv?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 672528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 1591.9\nAnswer: -58900.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -110.11 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*5\/(-25)*5\/20*20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waawaawa. What is prob of picking 2 w and 2 a?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 62. Let k be (-5 - y) + 3 - -68. What is the greatest common factor of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let k(b) = 9044*b. Give a(k(n)).\nAnswer: 81793936*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 4*g - 2. Let o be c(3). Let i(p) = o + 7 + 7*p**2 + 9 - p**3 + p**2 - p. Calculate the least common multiple of i(8) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 368, 616, 954, 1412, 2020, 2808?\nAnswer: 3806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 520435271 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - 15*m**2 + 29*m - 26. Calculate t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85*i**3*v**2 - 45*i**3*v + 54116*i*v**2 wrt i?\nAnswer: -510*i*v**2 - 270*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/16 and -85\/218?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 115*m - 5 = -111*m, -3*k + 2*m + 19 = 0. Solve k*p = 5*p + 2, 0 = 4*j + p + 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-4 - 5 - -14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 177\/21 + 12\/(-28)*1. Let c(y) = -37 - 38 + g*y**3 - y**2 + 74 + y. Calculate c(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22239\/3213 - (-7)\/(21\/(-18)) - (3 - 1) and 34\/(-12)*(-2)\/(-4)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -843, -1672, -2501, -3330, -4159, -4988?\nAnswer: -5817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683 + 683 + 794*v**3 - 718*v**3.\nAnswer: 76*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -12*g**2 - 5535*g - 1383 = 0.\nAnswer: -461, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-3 - -4) - 0 - 0) + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 11:21 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96 + 96 - 192 - 95*l)*(1 - 1 - 2*l**3) to y*l**4 + g + s*l**3 + q*l + i*l**2 and give y.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7482327150.\nAnswer: 2, 3, 5, 47, 1061323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 13, k: 5}. What is prob of sequence ewe?\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/6 and (-323)\/84 - 16\/(-24)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -351688*a - 351693*a + 703380*a. Let t(v) = 5421*v. Calculate t(k(d)).\nAnswer: -5421*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 5*q - 4. Let i be g(-4). Suppose 5*r + 11 + 94 = i. Let j = r + 43\/2. Which is the second smallest value? (a) -1 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 740 and 4625.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*1)\/(2\/12). Suppose 3*k - 7*k = -36. Let b be k + s + -2 + 1. Solve -f = -b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5000)*1 + -4)**2 - sqrt(600)\/((sqrt(84)*1)\/sqrt(7)))*-4.\nAnswer: -20064 + 1620*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250787 is divided by 738.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13765 (base 8) in base 13?\nAnswer: 2a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 216d?\nAnswer: -2168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 1.3. Let f = r - 1. Let d = -0.3 + 0.4. Does d = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 260447011*s**2 + 100973673 wrt s.\nAnswer: 520894022*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d = -21. Let p be d\/(-6) + (-6)\/(-12). Suppose -8*a + 104 = -p*a. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 20, 0*c - 261 = -4*p + 5*c. Suppose 8*o + p = -229. Let r = -12 - o. Calculate the remainder when r is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000466987 rounded to 6 dps?\nAnswer: 0.000467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -5\/187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**3\/3 + s. Let a(c) = 4*c. Let l(n) = -4 + 8*n + 4 - 29*n. Let u(g) = 33*a(g) + 6*l(g). Calculate u(j(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(8\/3))\/t)\/((t\/(t**(-7)*t))\/t)*t**(-35)\/t*t*t**(-31) assuming t is positive.\nAnswer: t**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-798)\/(-105))\/2*5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*b + 3*b + 6*b to w*b + j and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 0.17?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 1 - 11 - 325*l + 286*l + 0 - 16. What are the prime factors of x(-31)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**5\/120 - q**4\/6 + 2*q**3\/3 + 5. Let i(s) be the third derivative of b(s). Let m = 780 + -780. What is i(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1673, -3347, -5021, -6695, -8369, -10043?\nAnswer: -11717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 24486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let r be (-4)\/6*(-429)\/(-22). Let x be t(r). Is 2\/(-1) - (-299)\/x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 5*z - 5. Let o be t(4). Let f(p) = -p**2 - p. Let j be f(o). Suppose 5*w = 1 + 9. Solve j = -3*s + 3*x + 18, 0*x = 4*s + w*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102112100101 (base 3) in base 13?\nAnswer: -7c405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/10 - 13*o**4\/24 - o**3 + 6*o**2. Let q(v) be the first derivative of t(v). Is q(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2)\/(8\/68). Suppose -5*r + l = 4*v - 5, 0 = -3*r + 2*v. Solve -3*x - 13 = r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9124 is divided by 145.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 178.\nAnswer: -11\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 5*y + 2. Let z = 17 + y. Calculate the greatest common factor of 40 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.2 (c) -3 (d) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(1*(-2)\/4). Suppose 3*b + f - 279 = -13, 5*b - h*f - 432 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -2915*i**6\/3 + 5855*i**3\/3 - 2441. Find the third derivative of l(t) wrt t.\nAnswer: -349800*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-6) + 3\/(-6). Let y(h) = h**3 + 4*h**2 - 6*h - 3. What is the least common multiple of 261\/12 - p\/4 and y(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-1 - 0\/(-3)). Let v(z) = z + 7. Let x be v(-3). Suppose -x*q + 5 = -2*a - 5*q, -q + 3 = -2*a. Which is greater: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.088, 2\/223, 9, 0.4, 106?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 19 = 4*u + 49, 0 = 3*u + 5*d + 19. Let j be 5*(u\/(-20) - (-2)\/10). Solve -j*k + 6 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/20 - 7)*(-445)\/267?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1478183 - -1478182.8479669. Let f = 0.4479734 - d. Let x = 0.6 - f. What is x rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4*n - 4*n)*((-5*n**3 - n**3 + 4*n**3)*(5*n - 5*n - n) + 0*n**4 - 2*n**4 - n**4).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12927*m - 318*m**2 + 708*m**4 - 12927*m wrt m?\nAnswer: 16992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1551 (base 7) to base 10.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (33 + -11 - 9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = 35*x - 36. Suppose -2*v - x = 0, -45*v + 41*v = -3*m + 3098. List the prime factors of m.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (3 - 4))*30. Calculate the greatest common divisor of c and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133*-0.001896\nAnswer: -0.252168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110312202 - -3131?\nAnswer: -110303011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**4\/2 - 4*v - 6. Find the first derivative of f(g) wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135300 and 3400.\nAnswer: 4600200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*v = -128*v - 32. Let h(o) be the third derivative of 0 + 0*o + v*o**2 + 0*o**4 - 1\/20*o**5 + 0*o**3. Let w(z) = 2*z. What is w(h(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*z**2 - 5*z**3 - 112*z**2 + 32*z**2 + 43*z**2 - 10*z + 2 to a*z + u*z**2 + q*z**3 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1390, -5326, -11884, -21064, -32866, -47290, -64336?\nAnswer: -84004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 9120.74.\nAnswer: -9121.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5630 and 41\/300996?\nAnswer: 847303740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 52 = -2*q. Suppose -5*a + 70 = 5*h, 12*a - q*a = -h - 4. Calculate the remainder when 24 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:16 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62273, -124465, -186657, -248849, -311041, -373233?\nAnswer: -435425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -61, -64, -71, -82, -97, -116, -139?\n\"Answer: -2*m**2 + 3*m - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18455, -18452, -18449, -18446?\nAnswer: -18443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 11*j + 7. Let x be b(8). Let z be (-76)\/(-68) + 2\/x. Suppose 35 = q + z. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35.1 - 35. Let p = 1 + -1. Suppose 18*r - 8*r = -10. What is the third biggest value in p, -2\/9, r, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.1 - -3.1. Let p = g + 0. Let z = p + 27.1. What is z rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 105 in -7, -43, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-24)*-4)\/1)\/((-5)\/(-14))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9037*m**2 + 9053*m**2 - 18087*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*m**4 + 0*m + 0*m)*((2 + 0 - 3)*(6 - 3 - 2) + 0 + 3 - 2 - 3 - 1 + 5) to the form u + v*m + x*m**2 + r*m**3 + s*m**4 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 12, x: 1, z: 1}. What is prob of picking 1 d, 1 x, and 1 y?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-4 - -13) + 7 + -8 - (5 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)\/u)\/u)**31\/(u*u*u*u**(-1\/2)*u)**31 assuming u is positive.\nAnswer: u**(-1767\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -490.\nAnswer: -489.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.98 + 0.02. Let o = -0.437 + -0.063. Which is the second smallest value? (a) o (b) -2\/13 (c) y (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29026 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18483 is divided by 237.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*x**3 + 39 + 54*x**3 - 39.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - b**2 + b**2 + (b**2 + b - b)*(-4 + 5 - 3) + 8*b - 8*b + 3*b**2 + 0*b**2 + 2*b**2 + b**2 in the form o*b + l*b**2 + h and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230*v + 1377*v = -19605 - 24101 + 202733 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*b + 65, -3*p - p = -b + 10. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7592 by -73.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278768921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**2 - 6*r + 1 - 2*r + 1)*(2 - 5 + 0) as p + y*r + k*r**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9711 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) + sqrt(6)\/sqrt(3) + 0)*5 - (sqrt(32) + 3 - (sqrt(144)\/sqrt(6))\/sqrt(12)))**2.\nAnswer: 198*sqrt(2) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 4, -3, -12?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -1)\/(125\/(-15)) - -1.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -19, -23, -25?\n\"Answer: j**2 - 9*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178*a**2 - 4*a**4 + 155*a**2 + 3*a**4 - 2*a to the form v*a**4 + x + r*a**3 + t*a**2 + h*a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/125802 and 173\/126.\nAnswer: 880614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108093?\nAnswer: 7, 311, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + ((0 + (sqrt(38) - sqrt(608))\/sqrt(2))**2 - ((sqrt(190)*2*-6 - sqrt(190))\/sqrt(10))**2)).\nAnswer: -9132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -4. Let r(k) = -k**3 - 5*k**2 - 6*k - 5. Let q be r(-4). Let i = q - 2. What is the biggest value in b, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4692 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Let z be 3\/12 - (-10)\/(-18). Let r = z + -1\/36. Which is the second biggest value? (a) y (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Let w be (-4)\/c*(-2)\/4. Suppose 4*x + 17 = 3*f, 5*f - w*x = x + 21. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 12*x**2 - 5*x + 22. What is the units digit of q(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 c when three letters picked without replacement from cwwcw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + h - h. Let k(j) be the third derivative of -j**5\/20 - j**2. What is n(k(o))?\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + 531\/21. Suppose s = 3*q + 2*q. Let i = q - -48. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 5*x**2 - 2*x**2)*(4*x - x - x)*(-2 + 2 + 3*x).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7061 + -0.0961. Round d to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*y = -0*y + 30, 0 = -2*s - y + 27. What is the smallest common multiple of 38 and s?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 467536a + -4?\nAnswer: 4675366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2670 and 296052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -523992 and -574.\nAnswer: 300771408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 2 - (5 + -7). Let k(c) = c**2 - 2. Let z be k(-2). Solve f*s = -1 - z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2476 is divided by 815?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 98873?\nAnswer: -395492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 36. Suppose 0 = -3*b + 2*p + 93, 0*b + 2*b + 4*p = 46. Solve -f*l - b = 2*l - 3*c, 2*l - 3*c + 17 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s + d = 14, -2*s = -5*d + 4. Suppose 5*m = s*m + 6. Solve -2*w = -3*w - m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -129 - -316. Suppose -4*n = 4*k - 352, -3*n + 5*k = 4*k - 252. Suppose -3*m = 2*m - n. What is the greatest common divisor of a and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 4*w + 14, -3*w - 7754 + 7769 = -2*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13))**(-36) assuming d is positive.\nAnswer: d**(-72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100432 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -19797?\nAnswer: -22\/19797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i - 1932 = 39*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22144944?\nAnswer: 2, 3, 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -20. Suppose -1 = -2*a + n. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 2*v**2 - 34 - 47 + 7*v + 115 to d + u*v**2 + j*v**3 + r*v and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -8*l**3\/3 - 17*l**2\/2 + l. Let j(n) = -2*n**3 - 7*n**2 + 3. Let t be j(-2). Is k(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 = r, -f - 4 - 4 = 4*r. Let g be (-24)\/(-4) + r + 1. What are the prime factors of 4\/(-6) - (-16)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*z - 332*z - 680*z.\nAnswer: -1339*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 5*w - 4*h - 640, 0 = 4*w - h - 499. Find the common denominator of (2 + (-291)\/w)\/(352\/330) and 149\/6.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 3*w**2 - w**3 + (-1 + w + 1)*(w**2 - 5*w**2 + 2*w**2) - 3*w**3 - 2*w**3 + 4*w**3 + (2 - 2 + 2*w**2)*(-7*w + w + 3*w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152510650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 3:32 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*h - 112 = 0, 4*v + h - 134 = -0*h - 3*h + 66 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 58*v. Let t(u) = 713*u. Determine t(a(g)).\nAnswer: 41354*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -98\/7017615 and 45\/2140727.\nAnswer: 1059659865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/27)\/2 - (8890\/(-9) + 3). Which is smaller: w or 987?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.86 - 0.92. Let z be (51\/(-12) + 4)*(25 - 9). Sort 0.3, 2, z, o in decreasing order.\nAnswer: 2, 0.3, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798222 to the power of 1\/2, to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26984\/3 + 3310025\/368. Calculate the common denominator of -107\/240 and c.\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, 45\/4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.5 - 5.5. Let z = o - -28. Let q = z + -29.4. Which is the third biggest value? (a) -2\/13 (b) 0.3 (c) q (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 0.4, 1\/9, 3\/153889 in descending order.\nAnswer: 4\/3, 0.4, 1\/9, 3\/153889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44396*k**4 + 98027*k**2 wrt k.\nAnswer: 1065504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 48. Let j = z + 18. Solve -j*p + 0*p - 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4836)\/10075*(-15)\/12.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -20603*s**3 - 8*s**2 - 6*s + 4. Let i be (3\/(-4))\/((-2)\/(-16)). Let o be u(i). What is o rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**(-22)*u**10\/(u\/u**(-9)) assuming u is positive.\nAnswer: u**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**4\/12 + 3*c - 3. Let w(z) be the first derivative of i(z). Let r(l) = 5*l. Give r(w(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*s + 10, c + 3 = -s - c. Let a(z) = 41*z**2. What is the tens digit of a(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/5, 125\/12 in decreasing order.\nAnswer: 125\/12, 0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448165903 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(220)*-6)\/sqrt(11).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 63\nAnswer: 16\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 37*f + 317. Determine k(-20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/8 - (-22)\/(-4). Let j = -1429 - -2445. Is (-4)\/20 - j\/k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230331203 (base 6) to base 8\nAnswer: 20076763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1140)\/(-2926)*2786\/(-995)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 1.24530616.\nAnswer: 1.34530616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {b: 12, p: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4 + 13 + 2 + 6*s + 2. What is the hundreds digit of k(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -799*z - 24*z**2 - 616 + 1878 + 5*z**2 + 800*z wrt z?\nAnswer: -38*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -2*l - l - 5*o, -135 = -3*l + 3*o. Suppose -x - l = -3*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375.509689 + -0.5?\nAnswer: 2375.009689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 607600 to the nearest 10000.\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 31*h**2 + 64*h - 48. What is r(-28)?\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:52 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.71 and -32558115.8.\nAnswer: -32558106.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47, -63, -103, -179, -303, -487, -743?\n\"Answer: -2*l**3 - 2*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, y: 2, o: 4}. What is prob of sequence syyo?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/360*(-7)\/(14\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.56 take away 11?\nAnswer: 179.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, -42\/11, -0.1, -372, 2, 8, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-56))\/(4\/42). Suppose 2*x = -9 + 9. Suppose -5*d - q + 20 = 0, 2*d + 4 = 2*q - x. Which is the third biggest value? (a) 0.5 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s**2 + 7*s - 7*s)*(s**3 + 2 - 2) - 2*s**5 - s**5 + 5*s**5.\nAnswer: 13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1316*o + 21. Let g be t(3). Let c = g - -172797\/44. Calculate the common denominator of c and -31\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 100136\/20 - (-78)\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 35*s + 459. Let u be t(-13). Let c be u + (-9)\/6*414\/189. Find g such that 10\/7*g**3 + 1\/7*g**5 + 1\/7 + 5\/7*g**4 + c*g + 10\/7*g**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -529*j**2*s**2 - 29*j**2*s + 2*j**2 - 10800*s**2 + 8*s wrt j?\nAnswer: -1058*j*s**2 - 58*j*s + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/((y**8\/y)\/y)*y*y)\/y)*y**10*(y**2)**24)**(1\/3) assuming y is positive.\nAnswer: y**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033855 to five dps.\nAnswer: -0.00339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.831 + -4.8. Let v = g + -0.031027. Round v to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175134658 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 751974 (base 12) in base 3?\nAnswer: 10110220211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 86*h - 187*h - 225*h + 450*h - 240*h to the form k*h + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s. Let b(o) = -789*o**2. What is k(b(r))?\nAnswer: 3945*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((4\/(-6))\/(164\/(-1107)))\/(9\/198). Is d at most as big as 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + d = -105, -d = -5*s - 8 - 258. Let k = s - -72. Suppose -3*z + 333 = 5*c, 2*z + 6*c - 222 = c. Calculate the remainder when z is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4302\/13 (b) 0.44 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 9:52 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 4. Let y be 2*-1 + (39\/(-15) - -5). Which is the closest to -1\/4? (a) 0.2 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times 6.66898\nAnswer: 4.668286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -22, -27, -32, -37, -42?\n\"Answer: -5*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385470 by -5.\nAnswer: -77094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 3*u + 28, -3*a - 3 - 21 = -3*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3644 = 17*c - 10070. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 5*x**2 - x - 2. Suppose 51 - 236 = -5*c + 5*q, 145 = 5*c + 3*q. What is the lowest common multiple of b(-5) and c?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7730997 divided by 2571\nAnswer: -3007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1685998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -47, -66, -105, -170, -267, -402?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 43, 66, 93, 124?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 + 0 = 4*m, 4*x = -m - 9. Suppose -2*b = 5 - 9, 0 = m*t - 4*b - 85. What is the remainder when 154 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847 = -30*z - 36*z - 55*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2 - (-2 - -3)) + 5. Suppose -13 = x - 4*x + z, -20 = -4*x + v*z. Let 3*n**2 - 36*n - 12 + 50*n**3 - 14*n**x - 21*n**4 + 30*n**2 = 0. Calculate n.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b + 6 = 0. Suppose -m - 2*m = -3*x - 33, 0 = -m + b*x + 12. Let k be m\/(-45) - 22\/(-18). Solve 0 = 2*a + l + k, 3 + 2 = -3*a + 2*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 2331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(3\/1) - -4. Let d = 1 - l. List the prime factors of (-22)\/(-3) + 1\/d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.37*306\nAnswer: -113.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 341 divided by 175.\nAnswer: 341\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*h - 5*a, 34*h = 39*h - 2*a - 6. Solve -4*s = h*s + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 11*g**3 - 100*g**2 + g + 2. What is i(9)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 13 + 0 + (-36 - -6) + 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6435 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 + 5*y**2 + 3*y + 4. Let q be a(3). Suppose 4*k + 860 = q*c - 148, -2*c + 498 = -5*k. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/2 - -2)\/1. What is the second derivative of -d**b + d**2 + 0*d**5 - 3*d - 2*d**5 wrt d?\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68*35\/(-28))\/((46\/(-2))\/(-23)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54775023263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/21*301\/2*-2. Let h = g + 224. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/44 and 93\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m. Let v(x) = x**3 + 2*x**2 + 18*x + 66. Let a be v(-3). Suppose m = a*q - 70 + 13. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -5\/6*w**5 + 0*w**4 + 2*w**2 + 19\/20*w**6 + 0*w**3 + 48 + 0*w. Find the third derivative of u(r) wrt r.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from ceglllcxlglg?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1 - 72905*v - 1 + 72903*v. Let m(s) = -3 - 76 - 5*s + 4*s. What is l(m(f))?\nAnswer: 2*f + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 + 669 = -27*o - 57*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -350416900 rounded to the nearest one million?\nAnswer: -350000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*z**5 + 16*z**4 - 212*z**2 - 2*z.\nAnswer: 540*z**2 + 384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1960*c + 71. Is k(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 3*l**2 - 11*l + 27. Suppose -81*w - 106*w = -19*w - 672. Determine t(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a - -13d5?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -160. Let m be 3 - (x\/4 + 2). What is the highest common divisor of 125 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + 2.2. Let f = -481 + 470. Let v = 15 + f. Sort 0, v, k, -3 in increasing order.\nAnswer: -3, 0, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 1. Let d(p) = 6*p + 2. Suppose 5*r = -5*q - 20, -4*r - 1 - 3 = q. What is q*u(g) - d(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-25))\/(15\/((-600)\/(-16))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sslwaiuausssiuuausi. Give prob of sequence il.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/32 + -6 + (-355)\/(-60).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7599 and 1978869?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 789*r + 23. Let z be a(-7). What is z rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -12 + 13 - (-4 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 67 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284 is divided by 290.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -40, -7, 724, -3\/7?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*d + 3*c, -4*d = 2*c + c - 17. Calculate the remainder when 6 is divided by 2 + (-3 - d\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -22. Let k be -2*(3 + 33\/w). What is the third derivative of k*y**5 - 6*y**5 + 0*y**5 + 4*y**2 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*v = 262*v - 2*j + 11, 29 = -v - 4*j for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -8. Let t be (2 - 30)*2\/(-660). Let m = 4\/15 - t. Put m, a, -2 in descending order.\nAnswer: m, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437949373 a multiple of 2694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 + m**3 + 147 + 940*m - 941*m - 3*m**3 to n + z*m**2 + b*m + j*m**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 28414?\nAnswer: -255726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6350, 25451, 57292, 101867, 159170, 229195, 311936?\nAnswer: 407387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 + 74383 - 148763 + 74375.\nAnswer: -7*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (78\/(-8))\/((-47)\/376)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14554140 (base 6) to base 2.\nAnswer: -1111101001101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 719088833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1271 and -59?\nAnswer: 74989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 10. Let g be y(-7). Let x be (-2)\/6 - (-10)\/g. Solve p + 7 = n, x*n - 27 = 5*p - 0*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 808 - 805. Solve -g*i = -2*w - 9, -i + 149*w - 1 = 147*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/6*58\/609. Let i(v) be the second derivative of -n*v**4 - 32*v**2 + 15*v + 16\/3*v**3 + 0. Factor i(j).\nAnswer: -4*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -20) + (0 - -4) + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 810 and 98940.\nAnswer: 2671380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**2 - 10*w**4 + 0*w - 8 + 19\/3*w**3. Find the third derivative of k(h) wrt h.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (1 - 6 - (-6 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 7:57 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a - 235. Let v(w) = -5*w - 6699. What is d(v(o))?\nAnswer: 20*o + 26561","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3192.292 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12232 (base 5) in base 3?\nAnswer: 1021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416615.\nAnswer: 5, 97, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**8\/336 + v**7\/105 + v**6\/120 - v**5\/30 - 43*v**2. What is y in b(y) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 186, 494, 1008, 1776, 2846, 4266?\nAnswer: 6084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*a - 51. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11181379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.065.\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 339388 and 131376.\nAnswer: 4072656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - 2*t**2 + 2*t**2 - 6*t**2 + (t**3 + 4*t**3 - 4*t**3)*(-2*t**2 - 2*t**2 + 2*t**2).\nAnswer: -4*t**5 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1071.5 to the nearest 10.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*b**4 - 155*b**4 + 0*b - b)*(-5 + 12 + 15).\nAnswer: 154*b**4 - 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170 + 270. Suppose -v - 293 = -3*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 126*w**2 + 2*w - 3. Let m be s(2). Let y = 2185 + m. Let o be (-2)\/(-5) + y\/25. What is o rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (44\/10 - 5) + 23\/5. Solve 3*z + 2 = q + 19, -v*q - 32 = -3*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*i**4 - 993587*i**3 - 213*i**2 + 3525*i + 6?\nAnswer: -696*i - 5961522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = -640*c + 682*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**3\/3 + 7. Let d(v) be the second derivative of 5*v**3\/3 + 17*v. Determine d(z(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/180 - 5*z**4\/36 - 25*z**3\/18 + 197*z**2. Factor y(k).\nAnswer: -(k + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/7 + 615*m**3\/7 + 12042*m**2\/7.\nAnswer: -3*m**2*(m - 223)*(m + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(2*sqrt(100)*-2)\/(sqrt(5) + sqrt(80)*2 + sqrt(80) + sqrt(5))*1)**2.\nAnswer: 1280\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 55\/4 of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 - 75. Determine b so that 1425*b + 11*b**3 + h*b**2 - 1422*b + 42*b**4 - 104*b**3 - 6 = 0.\nAnswer: -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1366*x - 1370*x + 5412. Let q = 2900 - x. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/72*(1\/(64\/(-48)))\/(-1).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**4 - 4*p**3 - 3*p**4 - p**3)*(26 - 5*p + 3*p - 55).\nAnswer: 2*p**5 + 39*p**4 + 145*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/9, -2\/9, 2, 0.0913 in descending order.\nAnswer: 6, 2, 0.0913, -1\/9, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/293369 and -40\/153.\nAnswer: 2640321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 585*p**3 - 7*p**2 + 3*p - 8. Let a be m(-8). Round a to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o + 148. Let v(u) = -1. Let n(z) = p(z) - 3*v(z). Let k(f) = f - 30. Let j(l) = -11*k(l) - 2*n(l). List the prime factors of j(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 10. Let t be p(-7). Let x = t - 0. Suppose 2*b = 7*b + 2*u - 12, 20 = b - 4*u. Solve -2*v = -b*j + 14, 7 + 11 = -x*v + 3*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14547*a*s*t**2 - 2*a*s + 2*a*t**2 + 175896*a*t + 30*s*t**2 + 2*t wrt s.\nAnswer: 14547*a*t**2 - 2*a + 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1770 in 7, -1.1, -3\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.51 - 73.49. Let l = -68 + g. Let b = -143.0091 - l. Round b to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 - 4.5. Put n, 0, -2\/17 in decreasing order.\nAnswer: 0, -2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 744538 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -7bc8a?\nAnswer: 7bc8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 3. Let a be y(0). Let w(m) = -1. Let h(z) = -z**2 - 4. Let l(n) = a*w(n) + h(n). Let d(k) be the first derivative of l(k). What is d(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.157 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, u: 2}. Give prob of sequence tt.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25821000 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2626*f - 129*f = -2632*f - 2062*f + 834156 for f.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72554125?\nAnswer: 5, 7, 283, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1349146*b**3 + 11*b - 1349161*b**3 - 11*b.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = -3*w - 0, w = -2*p + 2. Let h be (-4)\/(-2) + w + -5. What is the tens digit of (63\/12 + h)*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4 - 1880*q**3 + 912943*q**2 - 27378120*q + 26467056 = 0. Calculate q.\nAnswer: 1, 31, 924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3569.78 to the nearest 10.\nAnswer: -3570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5931 - 292?\nAnswer: 566c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((4 - (5 - 0)) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, 5, 2, 0.\nAnswer: -4, 0, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*u - 18 = 0, -5*i + 74 = -4*u + 3*u. Let a(m) = -m - 20 + m - 2*m + i. Let h be a(-4). Solve -7*f - 16 = -h*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - l = 13, -4*g + 2*l + 12 = -8. Solve 0 = 5*f + 2*o + 29, g*o = 6*f - 4*f + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u + 4. Let a be 3*(u - 12\/9). Solve -a*p + 17 = 4*q + q, -2*p - 33 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18824028 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: Round -303.00554 to the nearest integer.\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(-2*(-1 + sqrt(171)) + 4 - (-6*sqrt(171)*-1 - (sqrt(171) + (2 + sqrt(171) + sqrt(171))*-6)))**2.\nAnswer: 20520*sqrt(19) + 1853010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -0.5. Let z = -8588 + 8582. What is the fourth smallest value in z, y, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10727 + 57*b**3 - 1503*b**2 + 189000*b - 176773 - 30*b**3 - 24*b**3.\nAnswer: 3*(b - 250)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 13*u**6\/30 - 5*u**4\/12 - 2*u - 52. Find the third derivative of c(g) wrt g.\nAnswer: 312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6831 + -0.1571. Let d = -0.028507 + -59.045493. Let j = d - y. What is j rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*u - 45*u = 230. Let b = -46 + u. Solve b*m - 5*m - 15 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12507?\nAnswer: 3, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6152 = 136*a + 161*a - 85 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5)\/q)**(-2))**(-20) assuming q is positive.\nAnswer: q**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58193, -51784, -45375, -38966, -32557, -26148?\nAnswer: -19739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 88*z**2. Let f(w) = 226*w**2 - 685*w**2 + 222*w**2 + 227*w**2. Calculate l(f(b)).\nAnswer: 8800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1679526 (base 11) to base 15\nAnswer: 3b54cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.561 and 47.\nAnswer: 46.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 57 = 3*h, n = -5*h + 8 - 11. Let l be (-104)\/(-3) + 1\/3. Suppose 0 = 2*z - 7*z + l. What is the remainder when n is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q - 269584 + 3*q**3 - 13*q + 325*q**2 - 2*q**3 + 269582 in the form d*q**3 + x*q**2 + i*q + t and give x.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*1 - (-6)\/3. Suppose 0 = h*l - l - 110. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 80*l = -76*l - 7, -3*t - 6 = 3*l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16487 - 16483. Solve -8 = o + 3*r, v*o + 2*r + 29 = 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1356 and -0.3?\nAnswer: 0.1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -24, -9, 40, 135, 288, 511?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1739 - 574 + 246*o**2 - 245*o**2.\nAnswer: o**2 - 2313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - -59) + 34 - 50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 1. Let b(h) = 4*h**3 - 2*h**2 + h - 2. Let y(r) = -b(r) - 2*g(r). Let q(d) = 4 + 7*d + d**2 - 14 - 9*d - 8*d. Let t be q(11). Give y(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 226\/42 + 38\/133 and 18\/35.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23350 is divided by 250.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14803*a - 251653. Calculate h(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 3, a: 3}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03974, 0.4, -0.05, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.931 - 0.069. Let m = -43.1 + 68.08. Let b = m + h. What is the second smallest value in b, 6, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24500 - -24601. Solve 0 = -11*q + 13 - d for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 639*t - 623*t - 2704. Calculate the greatest common divisor of t and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -126, -218, -310?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -2054.\nAnswer: -2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 76 = 2*s - 82, 2*s = 3*y - 98. Does 32 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*t + t + 1034, 2*l - 515 = -3*t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9*t**4 + 0 + 2*t**2 + 8*t**4 as k*t + v*t**2 + u + x*t**3 + m*t**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 181073280 to the nearest 1000000.\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:15 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(7\/(168\/9)). Find the second derivative of 16*b**2 - a*b - 5*b + 5*b**2 + 8*b wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2740 is divided by 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -548, -2203, -4966, -8837?\nAnswer: -13816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 28*h**2 - 47. Let a(l) = 142*l. Give a(w(n)).\nAnswer: 3976*n**2 - 6674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 91 - 98 = 0. Let b(q) = q**3 - 6*q**2 - 6*q + 3. Calculate b(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 21 = 5*v, 6*v + 11 = 3*v + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2707634 - 11?\nAnswer: -2707645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 650141?\nAnswer: -650111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3518 = -77*l + 79*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758750 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4978.\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -114*n**2 + 440*n + 84. Calculate z(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5040 and 45?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 s, and 1 w when four letters picked without replacement from twwwswt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -2*x**4\/3 + 3*x - 15. What is f(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 1280.5.\nAnswer: 1281.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15884872 - 3?\nAnswer: -15884875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 take away -1?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -7*t + 20, 0 = -t + 3*x + 1275 - 1255 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 2588 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 i when three letters picked without replacement from {x: 6, i: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -11*n**3\/6 + 16*n. Let o(p) be the first derivative of -p**2 + 19. Calculate l(o(f)).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187840*t**2 + 844562*t.\nAnswer: 375680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(42\/(-3))*(-56)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -99, -102, -115, -144, -195, -274, -387, -540?\n\"Answer: -s**3 + s**2 + s - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(847) + -3))**2.\nAnswer: -594*sqrt(7) + 7704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**3\/6 - 37*l**2\/2 - 1738*l. Let d(z) = 19*z. Determine d(b(j)).\nAnswer: -19*j - 703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*f**3 + f - f + 322*f**2 - 408*f**2 - 1326*f**2 wrt f?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2 + 0 - (-1159)\/122?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 5*g + 3*g**2)*(6*g - 95 + 94 + 2*g) - 4*g**3 + 3*g**3 + 4*g**3 + (-27*g**2 + 27*g**2 - g**3)*(-2 + 1 - 1).\nAnswer: 29*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 1414 + 76 = 0. What are the prime factors of a?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1337 and 1621781.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4860)\/(-3402))\/((-5)\/(-21))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35748784301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19798160 is divided by 46915?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 135 = -58. Suppose 0 = 3*v - 5*n - 25, -v + n = -0*v - x. Determine d, given that -6*d**3 + 0*d - 3*d**2 - 15\/4*d**4 + 0 - 3\/4*d**v = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - (-8 - 1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - w + 42. Let n(t) = -2 - t**2 - 3*t**2 + 5*t**2 + t. Let m be n(-2). What is the smallest common multiple of 16 and c(m)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3110609 to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12810*d**3 - 13471*d**3 - 5498*d**3 - 8529*d**3.\nAnswer: -40308*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283\/45 or 0.449?\nAnswer: 0.449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 7*c**2 + 9*c - 64. Let y be r(7). Let l(m) = -53*m**3 - m**2 - m. Give l(y).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1374490, 2748989, 4123488, 5497987?\nAnswer: 6872486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = -16*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 22*v + 11. What is the lowest common multiple of n(22) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -238*a**2 + 878*a**2 + 402*a**2 + 1083*a**3 wrt a.\nAnswer: 6498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5*j + 8 = 0. Suppose j*u + 4*l - 3 = 641, -u - 3*l + 169 = 0. List the prime factors of u.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 14) to base 7.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let n be 143*(t - 2)\/(-2). Suppose -5*b = -2*o + n, 209 = 4*o + b - 110. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4\/8 + 20601*f**3\/4 + 92655*f**2\/2 + 308823*f\/4 + 288225\/8 = 0.\nAnswer: -13725, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62, 152, 766, 1990, 4034, 7108?\n\"Answer: 35*k**3 - 10*k**2 - k - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (56\/49)\/(20\/14)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(3\/2 - 205\/130)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 287717923\nAnswer: -287717927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 53619.227 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-131*y + 131*y - 79*y**4 + (y**3 - 2*y**3 + 3*y**3)*(-10 - 17*y + 10))*(0*y - 7 + 0*y - y).\nAnswer: 113*y**5 + 791*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - 2043141?\nAnswer: -2043138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 42*p - 42. What are the prime factors of d(9)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + j + (-24 + 1 - 3)*(3*j - j + 0*j)*(198 - 390 + 309).\nAnswer: -6083*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/(s\/(s*s**(-6\/7)))))\/s)\/((s\/s**(-1\/13))\/s))\/(s*s*s**39\/s*s*s\/(s\/(s\/s**(-39)))))**(-10\/11) assuming s is positive.\nAnswer: s**(73910\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -16628c?\nAnswer: -16628b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -1012?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - r - 16 = 0, -4*c + 12 = -0*r - r. Let p(f) = 4*f**3 - f**2 + 7*f - 3. Is p(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/3192 and 77\/4560.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 7. Let f(p) = -p**2 - 138*p + 6475. Let k be f(37). Suppose 0*r + i*r + 9 = 3*c, k = -4*c - 4*r + 36. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**3 - h**2*x - 2630*h**2 - 2*h*x + 432*h + 6*x wrt h?\nAnswer: -30*h - 2*x - 5260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**4\/2 - 3*z**3 - 5*z**2 + 8*z - 1365. Calculate l(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -6 (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 143, 632, 1321, 2228, 3371, 4768?\n\"Answer: 3*f**3 + 82*f**2 + 222*f - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20018826 and 35802?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - p = 2, p + p = b + 1. Suppose d + 9*d = 0. Is (d + (-1)\/b)*683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**18\/o*o*o)*o*o*o*o*o\/((o*o**(-15\/7)*o)\/o*o)*o)\/(o\/o**(-11))**(38\/7))**(-4\/7) assuming o is positive.\nAnswer: o**(312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -25. Suppose -5*i = 3*b - 769, -5*b - 4*i = -0*b - 1299. Suppose o + 3*o - 61 = -f, 4*f = 3*o + b. What is the highest common divisor of k and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14375, -14414, -14473, -14546, -14627, -14710, -14789, -14858?\nAnswer: -14911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.7 rounded to the nearest integer?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s - 278 = 229 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -115*p**5 - 12390*p**4 - 68060*p**3 - 75240*p**2 + 24480*p = 0.\nAnswer: -102, -4, -2, 0, 6\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 4820?\nAnswer: 43380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (144\/20)\/9 + 252\/(-90). Which is smaller: -34\/67 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 113, 1, 3, -2207 in descending order.\nAnswer: 113, 3, 1, -2, -6, -2207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/12 - 8*y**2. Let j(t) be the first derivative of t + 58. Give 3*j(k) + u(k).\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 3769\/23?\nAnswer: 3769\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -34. Solve 2*j + 13 = -4*a + 3, 3*a + d = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 231783992?\nAnswer: 1622487944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, b: 1, j: 2, v: 1, d: 11}. Give prob of picking 1 j and 1 d.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 38 - 6 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.15, 5, -4, -1\/4, -14\/17?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -3 + (-10)\/(-18)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66254573 divided by -781?\nAnswer: -84833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7982, -3, 0, -6 in decreasing order.\nAnswer: 2, 0, -3, -6, -7982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/27*1\/(-4))\/((-9)\/(-4))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -2\/13, 0.1, 1\/2, -7\/5, 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.93 - -0.07. What is the second biggest value in 5, 2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.8 + 74.7. Let j = 58 - i. Let m = -6 - j. Which is smaller: 1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 + 127*l**2 + 85*l + 113. Determine q(43).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 2*o + 5. Let t(x) = 4*x**2 - 2*x - 6. Let y(q) = 4*q - 4. Let z be y(4). Let p = -7 + z. Let d(f) = p*m(f) + 4*t(f). Factor d(k).\nAnswer: (k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*q + 595 = 19*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112\/3 - -81\/2. Calculate the common denominator of -13\/27 and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaeeeeeeeaaeea. Give prob of picking 1 e and 2 a.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**15*p)*p)\/p*(p*(p\/(p\/(p\/(p\/((p\/p**(-5\/8))\/p)*p*p))*p))\/p*p)\/p assuming p is positive.\nAnswer: p**(-131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 25*x = 28*x + 233463, -4*x + 77801 = z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 424 - -1?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1403331, -1403406, -1403481, -1403556, -1403631?\n\"Answer: -75*l - 1403256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 21 = -2*w - 0*w, 3*s = -4*w + 57. Calculate the least common multiple of (-3 + 7\/4)*-24 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 9. Let t = -27 + 39. Calculate the remainder when ((-20)\/(-15))\/(1\/t) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.91 + -4.01. Which is the closest to -1? (a) 2\/7 (b) 6\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1061065843 - 0.25\nAnswer: 1061065842.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -155 - -158. Let r(p) = -2*p + 7*p**2 + p + 0*p - q*p**2 + p**3 + 2. Calculate r(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3\/2, -2, 40, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.79 - 0.51. Let y = l + 2.2. Let s = 116 + -1741\/15. Which is the closest to 2\/5? (a) s (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d - 1. Let b(k) = -57*k + 19*k**2 - 26*k**2 - 18 - 19*k**2 + 75 - 12*k**2. Calculate -b(o) - 57*x(o).\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2 < 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -4, -879\/11, 1\/4, -2\/3?\nAnswer: -879\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = m + 262 + 272, -3*m = -36*g - 96*g + 14121 for g.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2917\/7 < -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0254 - -8.4854. Let s = v - -3.2. Round s to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -45, -71, -99, -129?\n\"Answer: -g**2 - 21*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3237, -3239, -3241?\n\"Answer: -2*r - 3235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 - -111. Suppose -2*j + 3*b + 257 = 0, -b + i*b = -1. Suppose 2*a - j = -5*z, z - 3*a = 10 + 33. Calculate the greatest common factor of z and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 26*q**2 - 25*q + 1. Calculate p(25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -35. Let d(a) be the second derivative of -a**5\/10 + 9*a**2\/2 - a. Let o(b) = b**3 - 4. Calculate f*o(g) + 4*d(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 8. Let v be z(-6). Suppose -2*q + 96 = -4*x - 0*x, 172 = v*q - 3*x. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -407 = 656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.07 - -1.07. Which is the smallest value? (a) h (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*g**3*t**2 + g**3 + 11205*g*t - 19*g - 22*t**2 + 380076 wrt t?\nAnswer: -8*g**3*t + 11205*g - 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 5*i - 2*j + 144, -2*i + 3*j - 62 = 0. Let g = i - -28. Solve 1 = 2*z - 1, g = 3*h + z - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.389674 rounded to four decimal places?\nAnswer: -0.3897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/451 and -40\/451.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3314 in -4, 4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -32. Let l = 5 + a. Solve 0*g + l*g - 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 13*x**3 - 55*x**2 + 75*x.\nAnswer: -x*(x - 5)**2*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -3, -196 in ascending order.\nAnswer: -196, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*(3\/9 - -1). Let y(j) = j**2 - 3*j + 1. Let h be y(3). Solve -b*k + 7 = h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 2, z: 1, y: 4}. What is prob of sequence yl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 1. Let g be p(-1). Let i(r) = -r**2 + 2*r - 1. Let d be i(3). Which is the third smallest value? (a) g (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 4. Let u(x) = -x**3 - 11*x**2 + 13*x + 10. Let n be u(-12). What is the smallest common multiple of g(n) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33541427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 14*w**3 + w**3 + (0*w**2 + 3*w**2 + 0*w**2)*(-4*w + 3*w - 3*w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 404010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (0 - -2) - -22. Suppose 2*p = 8*p - l. What is the derivative of 5*i - 1 - 4*i - i + 14*i**p wrt i?\nAnswer: 56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105089 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 293*q**2 + 879*q - 2599. What is k(290)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p**4 + 8*p**2. Let i(z) = 12*z**4 + 7*z**2. Let k(q) = -5*i(q) + 4*m(q). Find the third derivative of k(d) wrt d.\nAnswer: -192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7005634 and -7005651 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1474 - -1484. Calculate the highest common divisor of q and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 0, 5, 10, 15, 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1516\/33 + -85\/11. Which is the second biggest value? (a) 4 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37894 is divided by 12442?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 5)*(0*p**2 + 3*p**2 + p**2) + 3*p**2 - 4*p**2 + 0*p**2 + (-2 + 2*p + 2)*(0*p + p + 0*p) + 5 - 2*p**2 - 5 as c + m*p**2 + u*p and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12440 and 24.\nAnswer: 37320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -782*b - 1839 - 6259 - 7542 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -380871.\nAnswer: 761742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 0*d)*(-2*d**2 - d**2 + 2*d**2) + 0 - 8*d**3 - 2 + 0*d**3.\nAnswer: -6*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:07 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 136*r**2 + 131*r + 546. What is t(135)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174.9 - -175. Is n >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13957 + -13953. Let x(q) be the second derivative of -15*q + 0*q**2 + 0 - 4\/3*q**g + 19\/6*q**3. Find the second derivative of x(d) wrt d.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -7 + (1 - 1) + 6 + -8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**2 - 1. Let m(x) = -x. Let b(r) = -20*r. Let y(c) = -b(c) + 4*m(c). What is i(y(j))?\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -138 - -141. Let z = -2 - -5. Suppose z*l - 78 = -x*l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3178065042.\nAnswer: 2, 3, 176559169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617 divided by 3?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*t - 43. Suppose -5*x + 0*x - 2*l - 1 = 0, -7 = -4*x + l. Let y be -4 - (-1*2 - -1). Sort t, x, y in descending order.\nAnswer: x, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ononnnn. What is prob of sequence onnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*s - 41, 4*p - 5*s = 2*p + 25. Suppose 4*o + 119 = 4*h + 3*o, -o + 31 = h. Suppose 0 = f - h + p. Solve q + f = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0023080349 rounded to 5 dps?\nAnswer: 0.00231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.031133009 to four dps.\nAnswer: 0.0311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -8 - 3) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13096 divided by -3274.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363578 + 7*u**2 - 121191 - 121200 - 121188.\nAnswer: 7*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 0*c - 20 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 52*t - 65. Let u(c) = c - 1. Let h = 4470 - 4600. Give h*u(y) + 2*a(y).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 315 - 390 = 3*n, -2*n + 5*f - 453 = 0. Let w be (-25)\/(-6325)*-23 - (-2 - (-5234)\/22). Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -97? (a) 0 (b) 0.221 (c) -2\/15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 70.97. Let b = 13.9 - 15. Let u = b - -0.1. Is m at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 >= -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(133)*-1 - sqrt(133)))\/(sqrt(84)\/(sqrt(12) + sqrt(48))) - (((sqrt(171) - (sqrt(171) + 4)) + 4)**2 + 1).\nAnswer: -24*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/35 and -15\/781?\nAnswer: 27335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 75859951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 3*m**2 - 3*m + 5. Let o be n(4). Let t(q) = q**3 - 8*q**2 - 7*q + 13. Let r be t(o). Suppose r = 2*j - 7. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -177, -656, -1599, -3162, -5501, -8772?\n\"Answer: -26*y**3 + 2*y**2 + 5*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 205.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41311 and 2653.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*n - 87, -74*w + 79*w + 5*n + 150 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(325)*3 + sqrt(325) - sqrt(325)))**2 + -1 + -2)*-2.\nAnswer: -146244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) 1\/25 (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 2 = -4*t, 2*u - 12*t = 302 - 286 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 = i - 9, 5*i - 24 = -c. Which is greater: c or -1\/118?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*u**3 + 25*u**2 + 2446*u wrt u.\nAnswer: -114*u + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*b**3 - 192*b**3 + 94*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Suppose 0 = -2*x - 5*d + 12, -3*d = 4*x - 2*x - 12. What is the smallest common multiple of a and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, 18, 90, 234, 474?\n\"Answer: 4*f**3 - 4*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3078?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-20) - (2 - 4). What is the closest to 0.1 in -2, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-30 - -18) + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90944 divided by 56.\nAnswer: -1624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + w + 7. Let u be k(-5). Let b be 0 + (-5)\/(15\/u). What is the greatest common divisor of 32 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(20\/7)*z*z)\/z*z**9 assuming z is positive.\nAnswer: z**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*r**3 - 65*r**3 - 44*r**3 - 40*r**3 - 42*r**3 + 265*r**3 - 40*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 - 6*o)*(3 - 5 + 1) - 2*o - 1 + 1 - 2*o + 1 + 0*o + 0.\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 32 = -3*z. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 94*n - 469. Give b(-99).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 734*c**2 - 44596*c\/3 - 115544.\nAnswer: (c - 26)*(c + 6)*(c + 2222)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - -3)\/((-105)\/(-7)) + 134\/(-452) and -11\/25.\nAnswer: 5650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/187 - -97\/5610. Let c(j) be the third derivative of -5*j**2 + 0 + y*j**5 + 0*j**4 + 0*j + 0*j**3. Factor c(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -43.1.\nAnswer: -42.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52602, 52607, 52614, 52623, 52634?\nAnswer: 52647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*s + 2501 = 0, -4*i + 798 = 4*s - 1210. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.6 - -0.4. Let b = -1.4 - -3.3. Let l = b + -2. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1 + a**2 - 3*a - 4 + 0 - 2*a. Let b = -5 - -8. What is f(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 304893*n**2 + 304530*n**2 - 2 + 2*n to b*n**2 + x + f*n and give b.\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(-1))\/((-46)\/69))\/(-2)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7.361767 times 3\nAnswer: -22.085301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5\/3 - 2200*v**4\/9 + 150880*v**3\/9 - 507840*v**2 + 50614720*v\/9 + 35819648\/9.\nAnswer: 4*(v - 46)**4*(3*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 660707491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from zeemzzl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7703216917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - (-26)\/(-3). Let b be ((-5 - -9)*-7114)\/1. Let y be 2\/k + -8614*b\/(-64). Round y to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -0*p + 4*p. Suppose 0*o = -4*o + p. Calculate the remainder when 10 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-6 - 5 - -5). What is the closest to 0.1 in 2\/5, l, 1\/3, 3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n - 2. Let x(o) = 3*o + 3. Let z be 4\/9*33*(-6)\/(-4). Suppose 0*m + 3*m = -81. Let u = z + m. Calculate u*x(f) - 7*y(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 30. Let p be g(-14). Let q(z) = 33*z**p - 216 + 216. Let h(y) = y. What is q(h(a))?\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -829*c**4 - 701?\nAnswer: -3316*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/4*10*1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -246*r**4 + 1296?\nAnswer: -984*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 o, and 1 e when four letters picked without replacement from ejojjjjejjjojojjj.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2030 - 13312520?\nAnswer: -13314550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149546981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/140 + 17*p**4\/56 + 35*p**2. Factor z(s).\nAnswer: 3*s*(s + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 + -119.5. Let b = 0.6 - 0.1. Let r = h + b. What is the second smallest value in 9, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*6 + (8\/(-4))\/2. Let z = w - 7. Solve z*m + 4 = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1984)\/14880 - (-1)\/((-120)\/(-241))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -344*r**2 + 344*r**2 + 380 - 1262 + 13*r**3 - 17*r**3 to the form f*r + i + v*r**3 + z*r**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.82 + -0.03. Let s = t + -0.15. Is s < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.4 * -0.0795\nAnswer: -0.4293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q**2 + 0*q**2 + 2*q**2)*(-q**2 - 5*q**2 + q**2) + 4 - 110*q**3 + 2*q**4 + 110*q**3 to a*q**4 + j*q**3 + f*q + m*q**2 + w and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3*u - 6)*(4*u - 7*u + 0 + 1)*(2 - 5 + 1)*(2*u + 7*u - 3*u).\nAnswer: 108*u**3 - 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 7540.\nAnswer: 52780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17452 + -17455. Which is the nearest to 0.02? (a) 1\/2 (b) -2 (c) 0.04 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55011127447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2518)\/5)\/(3\/((-540)\/24)). Is ((-7 + 2)\/5)\/((-3)\/j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 5941?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*x + 9 = -0*w, 5*w - 2*x = 22. Suppose d = -s + 6*d + w, s - d = 4. Solve 5 = 2*l - 5*k - 6, 2*l = -s*k + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 3. Let c be u(0). Suppose l - 21 = -5*v, c*l - 3*v - 46 = -v. What is the greatest common factor of 112 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 1 + 9 = 2*w, -2*q = 2*w - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 1. Let n be m(0). Let d(l) = -3*l + 6. Let z be d(n). Let y(g) = -g**3 + 3*g**2 - 3*g + 3. Calculate y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*l + 534*l + 287*l.\nAnswer: 779*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9460 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t - 4*x, 221*t = 226*t + 3*x - 14. Sort -5, t, 5, -3, 3 in decreasing order.\nAnswer: 5, t, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 238 in -0.2, 14, 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 6903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.16 - 2.26. Which is bigger: -2\/63 or t?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*h*u**3 + 68*h*u**2 - 3*h*u + 1887*u**3 + 6*u**2 - 2 wrt h.\nAnswer: -19*u**3 + 68*u**2 - 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 119607 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(37*q - 86*q - 69*q) to the form g*q + w and give g.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b = 474. Suppose -b = -5*g + 14616. Let z be 2 + (3340\/15)\/((-4)\/g). Round z to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0585 and -3909?\nAnswer: 228.6765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000103076 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g - 3 + 0 + 5*g + 2*g**3 - 1 - 9*g**2. Let l be y(4). Suppose 2*r = -r - 12, -2*s + 110 = -4*r. Which is smaller: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {r: 4, w: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33631336441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 7:02 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1314968 + 1314762 - 11*z + 35*z to h + k*z and give h.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2, 176 = -2*p - 0*p - 3*i. Let a = -61 - p. Calculate the greatest common divisor of 75 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102523 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a - 12*c + 3*c, 18 = 3*a + 5*c. Solve 0*r = a*r - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -70*h + 2\/3*h**3 - 1 - 47\/2*h**2. Differentiate v(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 1, o = -r - 3*r + 4. Let a(m) = -m + 4. Let h be a(o). Suppose -h*b = 5*v - 15, 13 = -v - 3*b - b. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 140 = -5*k + x, -2*x - 43 = k. Let j = k - -46. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 14?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/4)\/((-111)\/6 + (-144)\/(-8)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -23201.61 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8871583um to nanometers.\nAnswer: 887.1583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + -10)*(-78)\/(-1053)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12 + (-17)\/(51\/22) and -101\/102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -17*b**9\/168 + 59*b**5\/60 - 63*b**2. What is the third derivative of i(j) wrt j?\nAnswer: -6120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*(-3 + -4 + ((sqrt(396) + 1 + sqrt(396))*4 - (sqrt(396)*-1)**2*-2)))*3 + 0.\nAnswer: 288*sqrt(11) + 4746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164.736 - 0.264. Let o = -165.5 - z. Which is the nearest to 0? (a) o (b) -1\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 34 = 2*p, 4*p - 2*p - h = 34. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5 - 10*s**4 + 72*s**3 = 0?\nAnswer: -9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 593771453 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.25, 45\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - n**2 + 3*n**2)*(-81 - 66 + 57)*(-1 + 1 + 1).\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0 + 0*o**4 - 1\/2*o**2 - 4*o + 1\/10*o**6 + 0*o**3 + 0*o**5. Differentiate l(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 14*j**2 + 3*j - 30. Let o be m(-15). List the prime factors of 47\/((-5)\/o*-6).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 808829989 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 32 = -4*c. Let g be ((-417)\/c)\/(5\/484). Let j = g - -2522. Calculate the common denominator of j and -91\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*x + 2492, -2*a - 3*x + 1413 - 159 = 0. Calculate the greatest common divisor of a and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.2 - 12.3. Let g = x - -3.1. Sort 2\/9, g, 4.\nAnswer: g, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30589427 + -30589473.9999925. Let o = n - -47. What is o rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -21 + 10*x**2 - x**3 - x**2 + 2*x + 2*x**2. What are the prime factors of v(10)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 19*g - 3*g**2 + 5*g**2 - 2 + g. What is the units digit of d(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 9:25 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - x + 30, -36 = -2*t - 5*x + x. Suppose -t*r + 36 = -5*r. What is the remainder when 15 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(6\/13)*v\/(v\/(v*v**(7\/2)*v))*(v\/(v*v\/(v**(-2\/45)*v)*v))\/v*v*v*v\/v**(1\/7) assuming v is positive.\nAnswer: v**(55481\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 102, 109, 120, 135, 154, 177?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - 0. Let t = 235.8 + -236. Which is the second smallest value? (a) -4 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24985861*p**3 - 12*p**2 + 2*p - 63526.\nAnswer: 149915166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 10468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 - -0.9. Let b = g + 1. Let n = 163\/56 - 23\/7. What is the closest to b in n, -1, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/7 - 21635*s**3\/7 + 183760*s**2\/7 - 75655*s\/7 - 86472\/7 = 0 for s.\nAnswer: -1\/2, 1, 8, 10809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14457*q + 20 + 13639*q - 20.\nAnswer: 28096*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**3 + 45*l**2 - 108*l + 64. Let k(p) = -17*p**3 + 90*p**2 - 214*p + 127. Let q(m) = 4*k(m) - 7*w(m). Determine o, given that q(o) = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4*d - 5*d + 0*d + 5*d + 24 - 12.\nAnswer: 4*d + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 + 4*l - 2*l - 1 + 0*l - 2*l**3. Let q(n) = 2*n**3 - 4*n**2 - 2*n + 1. Suppose -d + 95 = -20*d. Determine d*q(x) - 4*o(x).\nAnswer: -2*x**3 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-28)*-3*2\/(-18)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2964*n + 2*n**2 + 79 - 2964*n in the form o*n + w*n**2 + r and give r.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7337609?\nAnswer: 29, 421, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13799 from 35965.\nAnswer: 49764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b3 - 3?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.483 - 0.003. Let p = m - -1.52. Let z = 35 - 139\/4. Sort p, z, -2.\nAnswer: -2, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1509789\/110 + -13725. Let v = -1\/22 - k. Which is the third smallest value? (a) -2\/3 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86 - 76) + -2 + -23 - (0 + -4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1832, 2, -15, -2, -1 in descending order.\nAnswer: 1832, 2, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11827*w**3 - 39 + 5*w**2 - 4*w**2 - 11825*w**3 + 3*w**4 to the form b*w**3 + i*w + s + z*w**4 + u*w**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216082 is divided by 16611?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2536945*s**3 + 14*s**2 + 6*s + 4464 wrt s.\nAnswer: 15221670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6*c - 2*p + 29, 2*p = 3*c - 11. Suppose 47*q = -6*q + c*q. Solve -2*h + 4 = -0, 4*m + 3*h + 14 = q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-23)*i)*(i*i**25\/i)\/i*i\/i**28*i*i*(i**7*i)\/i assuming i is positive.\nAnswer: i**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 0*g - 4*g)*(1 - 2 - 3)*(-2*g**3 + 2*g**3 - 5*g**3) to the form h*g**3 + t*g + v + m*g**2 + q*g**4 and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 - -23417\nAnswer: 23417.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i + 2*i)*(5*i**3 - 3*i**3 - i**3) + (-3*i + 1 - 1 - 37*i - 53*i + 29*i + (2 - 2 + 2*i)*(0 - 5 + 1))*(-i**3 - 2*i**3 + i**3).\nAnswer: 142*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -84. Suppose y - 6*y + 100 = 0. Suppose -2*r = 4*g - y, -7*r - 4*g = -2*r - 38. Calculate the highest common divisor of l and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 62244332392 = -q. Let k = -589329339241307\/37872 - q. Let m = k - 1\/9468. Calculate the common denominator of m and -41\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9617 (base 12) to base 3.\nAnswer: 211112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/8*(-22)\/396*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t - 2*t + (-2 + 3 + 1)*(t - 4*t + 2*t))*(4*t + t - 3*t)*(4 + 10 - 4).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/15 + (-43)\/51. Let z be (-5)\/17*5\/(-20). Let q = t - z. Sort 3\/2, q, -5 in decreasing order.\nAnswer: 3\/2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*d - 21111 = -179*d + 5664. What is the greatest common divisor of 25 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 1. Let x = 25 - 33. Let a = 8 + x. Suppose a*s - 2*s = -4*b - 22, 5 = 5*b + 4*s. What is m(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1151 - 1165 = -5*p, -3*c - 444 = -p. What is the greatest common divisor of 294 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i = -32*i + 16. Solve r + i = 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 + 2 = 0. Let t(y) = y**3 - 4*y**2 - 4*y + 1. Let j(g) = -g + 1. Let f(n) = i*j(n) + t(n). Let w be 2\/(-2) + 5\/1. Give f(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -5*v. Suppose v = -3*f + f + 40. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-5)*(-40)\/6. Suppose 3*z = 59 - x. Let j = 54 + 65. Calculate the highest common factor of z and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5138398 - 5138399 + 5*i - 5138394 - 5138400 + 20553591.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -11\/6 (c) -267 (d) -7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1298, -1941, -2632, -3365, -4134?\n\"Answer: h**3 - 30*h**2 - 560*h - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4021691 is divided by 136.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-5))\/((9\/(-10))\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4928 and 6?\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4\/5 - 2552*p**3\/5 - 7692*p**2\/5 - 16*p\/5 + 10256\/5 = 0.\nAnswer: -2, 1, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 53934 = -163843 - 69898. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 508 + -510. Let i be ((-9)\/60)\/((-2)\/8). What is the smallest value in -0.2, t, i, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*i - 643*i - 247*i - 195*i + 3238*i**2 - 357*i wrt i?\nAnswer: 6476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/171 - (640\/225)\/(-4). Which is the closest to 1? (a) -2 (b) 0.03 (c) g (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.243*-7558.\nAnswer: -9394.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - 2\/((-3)\/(-6) + 0). What is the nearest to -2 in -3, 0, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 12 - (-37 - 12)) + 5 + (-5 - 6)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 - (5 + -8 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 16. Suppose 5*g - g + 8 = 4*n, 0 = n - 2*g. Solve -10 - o = -n*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 - -111. Let v = -87 - r. Which is the closest to v? (a) 1 (b) 0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3509 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.3 (c) -1 (d) -3\/5 (e) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*o + 7 - 21, -2*o = 2. Let g be 0\/(5 + i\/2) - -2. Solve 2\/9*k**5 + 0 - 10\/9*k**4 + 4\/9*k + g*k**3 - 14\/9*k**2 = 0 for k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5750 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2791 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1. Let d(h) be the first derivative of -h**3\/3 + 2*h**2 - 7*h - 1. Let u(g) = d(g) + 3*f(g). Let u(t) = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-2)*8\/12. Let o = n + 8. Suppose 5*t - 12 = 2*g, -o*t = g + g - 8. Solve -3*u - 4*v + 6 = t*u, -u - 3*v = -10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*k + 24, -3*k + 2*u + 10 = 3*u. Calculate the smallest common multiple of k and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625474235 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 87*n**8\/56 + n**7\/42 - 3353*n**4\/12 + 788*n. What is the third derivative of p(q) wrt q?\nAnswer: 10440*q**3 + 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 9:48 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*h + 1. Suppose 4*i - 6 = k, 2*i = -5*k + h*i + 8. Let d(f) = -3 + 7*f - k*f - 2*f. Determine d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 3, j: 1, d: 5, b: 3, q: 2}. Give prob of picking 2 d and 2 q.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 399337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 12. Let q be p(9). Let g(m) = 577*m**2 - 14*m + 3. Let n(h) = 210*h**2 - 5*h + 1. Let u(t) = -4*g(t) + 11*n(t). Calculate u(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 33*r - 36*r + 3, 2*b + 3*r = 1. Suppose -v = 3*a - 9, 3*a = b*v - 0*v + 9. Solve v = 4*t - 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 5*g**2 - 7*g - 4. Let t be l(-6). Solve t*v + 10 = -x + 4*x, 3*x = -4*v + 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10010011101110001110 (base 2) to base 13\nAnswer: -18253b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*x = 0. Suppose 5 = d - x. Suppose -d*n + n + 28 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 + -2)*448\/(-3). Suppose -z = 4*t - 0*t. What is the remainder when (2\/(-4))\/(4\/t) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 5*c**8\/336 - c**7\/14 - c**6\/24 + 11*c**5\/12 - 5*c**4\/2 + 10*c**3\/3 + 197*c**2. Determine g so that a(g) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47467 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406162 is divided by 286.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30400 and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 n, and 1 a when four letters picked without replacement from qqnqqnnaqnnnaann?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 5*w + 2. Give l(-3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94008 + 154008. Round i to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + x = 2*o - 1, 0 = 4*o - x - 7. Suppose o + 2 = -h. What is the tens digit of (h + 3)\/((-3)\/48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a + 9*a + 82602 = 0. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -184, -404, -646, -904, -1172, -1444?\n\"Answer: o**3 - 17*o**2 - 176*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10 = i - 0*d, -3*i - 2*d + 81 = 0. Calculate the highest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/3 or -9.1174?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 4*h = -5*u + 39 - 328, -3*h + 2*u + 20 = 82 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + p**3 + 0*p**3)*(0 + p**2 + 0) + (-4*p - p + p)*(-15 + 15 - 7*p**2)*(-52*p**2 - 46*p**2 + 93*p**2) + p**5 - p**4 + p**4.\nAnswer: -138*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**2 + 9 - 7*c - 6*c**2 + 11. What is the tens digit of t(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h**3 + h**2 - 13*h. Let u(p) = -4*p**3 + 6*p. Determine -2*i(r) - 5*u(r).\nAnswer: 2*r**3 - 2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyyyyyyyyyjj. What is prob of sequence yyyj?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4556*c - 13349. Does 10 divide w(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 36*o**2 + 10*o - 8. Let c be g(1). Find the first derivative of -164 + c + 69 - 79 + 106*r wrt r.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-3) - 12\/36. Suppose f = 9*m - 14. Determine o so that 0 + 2\/7*o**4 + 2\/7*o**m + 0*o + 4\/7*o**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*o + 20 = 0, -o = -i - 2*o. Suppose 4*l - 34 = 2*l - 4*d, -4*d - 29 = -i*l. What are the prime factors of (-3)\/(l\/(-93)) + -1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.84 - -50. Let w = 0.16 - l. What is the nearest to w in 5, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z + 3*z - z)*(-4*z + 0*z + 2*z) - 17*z**2 + 218*z - 218*z + (-3 + 1 + 1)*(2*z**2 - 6*z**2 + 3*z**2) as y + f*z**2 + b*z and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.012848 and -2.94?\nAnswer: 0.03777312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*d - 2986 + 2000 - 2444 = 0 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 562*t - 518*t - 704 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = 0, 4*p = -9*s + 4*s + 36. Let z(v) = 0*v**2 + 6*v + 4*v**2 - 2*v**2 - v**3 - 4. What is z(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 21 = -3*l + 4*i, -2*l = -i - 1. Factor 0 - 2\/7*y - 2\/7*y**l.\nAnswer: -2*y*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -65, -38, -35, -62, -125, -230, -383?\n\"Answer: -s**3 - 6*s**2 + 52*s - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -13) + -19 - (17 + 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 2\/3 (b) -1 (c) 9195818\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000736704796 rounded to 7 decimal places?\nAnswer: -0.0000737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000000111100111 (base 2) in base 11?\nAnswer: 294040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r**2 + 3*r**2 + 4*r**2)*(-540 + 149 + 236 + 155 - 19326*r - 89101*r) as s + n*r + l*r**2 + h*r**3 and give h.\nAnswer: -216854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11249, 11255, 11265, 11279, 11297, 11319?\nAnswer: 11345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-507)\/168 - (-6)\/(-48)) + 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7716535 (base 8) to base 4\nAnswer: -13321311131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/36 - -1)\/(3\/(-8)). Let d = 1\/61 + 58\/183. Which is the second biggest value? (a) p (b) -3\/4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 32 = 4*t, -5*d - 11 = t + 11. Let w be 9 - (t - (2\/2 - 1)). Solve -5*p + j - 2 = 0, -2*p = 6*j - 9*j + w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 - 236*p + 1212. Calculate d(55).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/6 + 4*a**4\/3 + a**3\/3 - 182*a**2 + 229*a + 1. What is the second derivative of j(n) wrt n?\nAnswer: -60*n**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 4*p**3 + 18*p**2 - 20*p**2)*(-3*p**2 + p**2 + 0*p**2).\nAnswer: -12*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 - 1 = 0. Let k be 6*w - (-2)\/(-1). Is -2*-1*18\/k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - n - 1. Let c(d) = d**3 - 7*d**2 - 7*d + 4. Let z(b) = -c(b) + 2*v(b). Suppose 2*t - t = 4*g + 28, -2*t = -8. Determine z(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3252, -3390, -3508, -3600, -3660, -3682, -3660, -3588?\n\"Answer: n**3 + 4*n**2 - 157*n - 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -629, 4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 4, t: 1, w: 1, n: 1}. What is prob of picking 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**3\/6 + h**2\/2 + 15*h. Give o(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*p + 16591, -3*s + 38 - 17 = 0. Does 31 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpphhxphpxpppppp. Give prob of picking 2 p.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smolmgj. What is prob of picking 1 s, 1 m, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3657 times -1.69\nAnswer: 6180.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 12:22 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142984 divided by -1071492?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 12*j - 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10+471189613126\nAnswer: 471189613116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 21*u**2 - 6*u - 8. Let n(b) = 2*b**3 - 23*b**2 - 7*b - 9. Determine -7*k(h) + 6*n(h).\nAnswer: -2*h**3 + 9*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 3. Let z be w(-5). Let n be (-1 + 1 + -3)*-1. Let t = -1 - -4. Solve q - t*g + 16 = -7*g, -z*g = n*q + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2 + 6*q**2 - 31 - 8*q + 24 + q**3 + 15. Let m(y) = y**2 + 7*y - 7. Let u be m(-7). Calculate s(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-28))\/(68\/(-238)) - 322\/80. Let x = -11 + 7. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 399\/5. Put 2\/5, c, -5, -0.4 in decreasing order.\nAnswer: 2\/5, c, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*b + 11 = 0, -3*i - 6176*b + 6180*b = -31 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.7 - 9. Let g = 4.32 + c. What is g rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16 (b) 4 (c) 1.98 (d) 3 (e) -3\/5 (f) -237\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - (2 + 2)) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 919535\/522 + -3523\/2. What is the common denominator of 37\/30 and y?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379*n = -368*n - 184349. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.6 + 7.64. Let q = 0.04 - h. What is the closest to 0.1 in 2, 2\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -115, -131, -163, -217?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h + 16*h - 23*h as d + z*h and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*x**4 - 5*x**2 + x wrt x.\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92*5\/6*249\/(-415)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2 = 5*w, 3*w + w + 4*m = -8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n**3 - 4*n**2 + 80*n + 75. Let u(w) = -8*w**3 - 6*w**2 + 80*w + 78. Let l(b) = -6*a(b) + 7*u(b). Solve l(g) = 0.\nAnswer: -12, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 3\/(-6) - (-229)\/2?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-97)\/6 - (-10)\/(-60). Let u be (0 - 1\/2)*(-4)\/v. Sort 0.1, u, -24 in descending order.\nAnswer: u, 0.1, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:25 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9)*1) - sqrt(68)\/sqrt(4)*3.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 22168823979.\nAnswer: 22168823978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-15 + 3))\/(2\/12). Which is the second biggest value? (a) 4 (b) 226 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 935573 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23921626 to the nearest integer?\nAnswer: 4891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -3 + 0 + 2. Suppose f*d - 106 = 59. Suppose 5*b + 20 = 5*j, -2*b - 78 + 55 = -5*j. What is the greatest common divisor of j and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 850218645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 1, q: 3, c: 7, w: 2, i: 3}. What is prob of sequence iw?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:28 PM?\nAnswer: 686","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 70 = 5*x, -4*x - 2*n = -3*n - 73. Let i(j) = -6*j**2 - 14*j - 23. Let u(o) = -2*o**2 - 5*o - 8. Let l be 10\/15*-1*9. Determine l*i(f) + x*u(f).\nAnswer: 2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3750410 by -95.\nAnswer: 39478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 1 + 176 + -165\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-117)\/(-54) + (-1)\/6. Suppose 3*j + v = 11. Suppose 282 = j*p + 4*c, c + 444 = 5*p - c. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l + 26*l = -4*w - 28, 0 = -3*w + 6 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 1, x: 2}. Give prob of picking 1 x and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.6 + 34.6. What is the second biggest value in j, -1, -0.13, 5\/3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at most as big as 4959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4)\/9)*(-40)\/(-1080)*72.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**2 + 5\/6*f**3 - 1\/5*f**5 + 0*f**4 - f + 0. What is the second derivative of m(v) wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.10001092 - 59.1. What is x rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28443387209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 103 + -109. Let k be m\/3 + (-143)\/(-65). Let t(n) = -n**3 - 1. Let w be t(1). What is the biggest value in w, k, -15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2004 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 41. What is the lowest common multiple of 4 and w?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuuuuququ.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 155*f**3 + 920*f**2 - 1980*f + 1440.\nAnswer: 5*(f - 24)*(f - 3)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -2 - 1\/(3\/(-42)). Suppose 833 - 3723 = -l*a. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-5))\/(-4))\/(6\/45)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 22 = -97. Solve 6*p - p - j = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -82. Suppose 3*p + 3*a - 2289 = 0, m*a - a = 5*p - 3825. What are the prime factors of p?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2)\/a))**0\/((a\/(a\/a**(3\/10)))\/a**8)*(a**(-8)*a*a**12\/a)**(-42) assuming a is positive.\nAnswer: a**(-1603\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by 9.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 3*r**4\/20 + 23*r**3\/5 + 114*r**2\/5 - 9998. Let f(i) = 0. Calculate i.\nAnswer: -19, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-189)\/(-98)*-1 + 16\/(-28). Which is greater: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21219107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 207.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -376104*v**5 - 2333*v - 2 wrt v?\nAnswer: -7522080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 8:56 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = i + 1 + 93, 0 = -f - 5*i + 36. Suppose -2*a = b - 2, b - 6*b = a - f. Calculate the greatest common divisor of b and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 76. Calculate the least common multiple of j and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f*o**3*v**2 - 32*f*o**2*v**2 - 13*f*o**2*v - 142*o**3*v - o**2*v**2 wrt o.\nAnswer: 24*f*v**2 - 852*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9 - -3.2. Let u = -1.70187 - d. Round u to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1368, -5305, -11880, -21105, -32992, -47553, -64800?\nAnswer: -84745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321, 1358, 3111, 5580?\nAnswer: 8765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - c. Let t be 2 + 138\/(3 - 0). Let w be (-1)\/((-6)\/t + 0\/(-2)). Let s(p) = w - 2*p - 8 + p. Give k(s(r)).\nAnswer: 4*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 807\/2 - 403. Let v(m) be the first derivative of -1\/8*m**2 + 1\/12*m**3 - u*m - 1. Factor v(w).\nAnswer: (w - 2)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -495 + -546?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/8*(-68)\/(-255).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986723 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3156*p - 3357990. Determine j(-1064).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + x + 1. Let y(u) = 12*u**2 - 7*u - 8. Let z(m) = 5*f(m) + y(m). Calculate z(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Let l = -111 - -112. Let z(x) = 126*x + 774. Let f be z(-6). What is the biggest value in l, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 131*s - 31. Let q be v(3). Suppose -f + 191 = -q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 17*c - 18. Let v be z(16). Let g be 0\/v - 14\/49. What is the biggest value in 1\/5, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3 - 3 + 4)*(-2*z - 2*z + 5*z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45501304 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.9278 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 2*v - h + 13759 = 13776, 0 = 5*v - 10*h - 140 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1623.433 + 0.38.\nAnswer: 1623.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(1\/8)))\/r**(3\/5))\/((r\/(r**1*r*r)*r*r)\/(r*r*r\/(r**(-5)*r)*r))*(r\/(((r**(-1)*r)\/r)\/r))**(1\/15)\/(r**(-2\/5)\/r)**(2\/11) assuming r is positive.\nAnswer: r**(3951\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 - 172*y - 504. Give c(-3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -54, 19, 162, 399, 754?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + (6 - 13) + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 9*s**2 + 4*s + 7. Suppose 0 = -2*o - 0*o - 14. Let f be m(o). What is the highest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbmmbd. What is prob of sequence nmbm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let m be p(3). Let s = -3 - m. Suppose s = 3*d - 32 - 109. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 552 = 131*q + 420 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5.73, 0.5, -47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b**2 - 4*b + 2. Let k = 1155 + -1152. What is a(k)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**(-4))))\/(u\/(u\/u**(-1\/6)*u))*u\/u**(-13)*((u**(-7)\/u)\/u)\/u assuming u is positive.\nAnswer: u**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 87, 108, 147, 210, 303, 432, 603?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 11:10 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 23, -9 in decreasing order.\nAnswer: 23, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:59 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, -3, 0, -2038, 2 in descending order.\nAnswer: 2, 0, -1, -3, -24, -2038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o = 1. Let a be (-62)\/(-3) + o\/3. Calculate the highest common factor of a and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-57))\/((-1)\/18*-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w = -l - 45, 344*l = 345*l + 4*w + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2110*k = 2111*k - 1, 162 = -6*p - 46*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.14341\nAnswer: 0.100387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -227 - -486?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13878 is divided by 134?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*p**6 + 447*p**2 wrt p.\nAnswer: 3360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/v*v)\/v*(v*(v*(v*v*v\/(v*v**(-1\/2)*v)*v)\/v*v)\/v)\/v assuming v is positive.\nAnswer: v**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4500000*p**2 - p + 1. Let b be u(1). What is b rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 - 117. Let k = f + -17.4. What is the smallest value in k, -23, 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1331)*1.\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9433566 and 50?\nAnswer: 235839150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1327173 divided by 3\nAnswer: -442391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-25)*45\/18. Let w(f) = f + 4. Let t be w(5). Is v\/t + (-930)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -2, 3548 in increasing order.\nAnswer: -31, -2, 3548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -44. Suppose -g = -5*v - 15. Let i = 164 - v. Calculate the greatest common divisor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in grams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1982*o**4 - 30*o**2 + 15*o - 42695. Let z(r) = 283*r**4 + 4*r**2 - 2*r + 6099. Let g(a) = 2*q(a) + 15*z(a). Differentiate g(n) wrt n.\nAnswer: 1124*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 15 = -5*u, u - 5*g - 7 = -3*u. Calculate the highest common factor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j - 7. Let z = -53 - -60. Does 7 divide h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37 and 112527?\nAnswer: -4163499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*u + 5 = 0, -3*u + 0 = -15. Let h(a) = -66*a**2 + 6*a - 5. Let g be h(q). Let k = -1038 - g. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23570\/185661 + 2\/61887. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2)*-1*5)**2 + -1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -35*j + 42*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (5077\/1)\/(-1 + -5 + 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(5*(-12)\/30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -354 - -5\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -369, -191, -5, 189?\n\"Answer: 4*g**2 + 166*g - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15563, -31123, -46683?\n\"Answer: -15560*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1311*x**2 - 4*x + 4. Let t(h) = 443046*h**2 - 1353*h + 1353. Calculate -1353*n(d) + 4*t(d).\nAnswer: -1599*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9289300 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 10*k + 8. Let w(i) = i**2 + 10*i + 6. Let y(b) = -7*l(b) + 6*w(b). Determine y(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*p - 12, -2*p - 2*s + 16 - 20 = 0. What is the second smallest value in p, 0.4, 10, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 + -73. Let b = -661 - -677. What is the smallest common multiple of z and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + (0 + -3 + -2*sqrt(1539) + 0 + -1)**2)*-3.\nAnswer: 2160*sqrt(19) + 92580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 - 654\/14. Suppose 3*m = -4*g + 273, 4*g = 2*g - m + 135. Let c = g + u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 + 77*n\/2 + 81 = 0. What is n?\nAnswer: -2, 81\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -1. Let o = -2.5 - -1. Let c = 0.5 + o. Which is greater: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2535 and 114582.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c. Let l = -46 + 68. Suppose -2*f + 0*p = -5*p - 33, c = -3*f + 2*p + l. Solve -4*g - f*z - 4 = -0*g, 0 = 4*g + 3*z + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633923*-3*(-7)\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -10. What is the units digit of 213*(-6)\/c*(2 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2333*g**4 + 5690188*g**3 - 22735191*g**2 + 22733164*g - 9740 = 0. What is g?\nAnswer: 1\/2333, 2, 2435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3853*o + 15*o**5 + 2*o**4 + 7927*o + 26*o**2 + 5307*o wrt o?\nAnswer: 300*o**3 + 24*o**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -48840*n + 42 - 2 + 48831*n + 15. Determine l(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 - -140. Let n = -536 - -536.1. Which is the nearest to 0? (a) r (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34433, -31234, -25903, -18440, -8845, 2882, 16741?\n\"Answer: 1066*m**2 + m - 35500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1996*w + 713 = -1965*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 179.9 - 192. Let n = -12 - f. What is the third biggest value in n, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, u: 2, p: 4, s: 3, x: 2, b: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4558535 <= -4558536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20906 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -12*x + 1. Let w be (-1 + 6)*8*(-14)\/280. Let z(c) = -23*c + 3. What is w*z(n) + 5*f(n)?\nAnswer: -14*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130981112.\nAnswer: 2, 277, 59107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-20 + 12)) + 3 + 0 + -11\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.3 * -0.05.\nAnswer: 1.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 0*p + 3\/2*p**4 + 29 - 15\/2*p**2 + 0*p**3. Find the second derivative of t(j) wrt j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 508109.\nAnswer: -2\/508109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 483 + 1217 + 2800 - 516 + 43*k**3 + 78*k**3 + 5*k wrt k.\nAnswer: 363*k**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 21 = -1. Let a(b) = -b + 4. Let u be a(0). Suppose -2*h = 2*o - q, 0 + 12 = -u*h. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4272 - -4342. Calculate the lowest common multiple of q and 160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8536 and 194.\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 154752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 10*r**2 - 5*r**2 + 3*r**2 - 2*r**2 to a*r + j*r**2 + f and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15882893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6260 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 156.9184839257.\nAnswer: 148.9184839257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 6*v - 3. Let q be z(3). Let r = q + -2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**(-48)*f\/(((f*f\/f**1*f)\/f)\/f)*f\/(f\/f**(2\/11)) assuming f is positive.\nAnswer: f**(-965\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = r - 4*w + 2*w, -3 = w. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s. Let g(p) = -11*p. Let q(k) = -4*g(k) - 9*r(k). Let f(z) = z**2. Give q(f(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, 471, -3.\nAnswer: -3, 287, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-36)\/4)*3 - -3. Let m be -1*0\/(6\/x). Is -1\/14 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) -3 (b) 2\/71 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(-2*(sqrt(80) - sqrt(5)) - sqrt(60)\/(sqrt(60)\/sqrt(5)) - ((sqrt(245) - 2*sqrt(245) - (-1 + sqrt(405))) + 5)))**2.\nAnswer: -3888*sqrt(5) + 15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -774511 (base 11) to base 10.\nAnswer: -1235785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/(-35) - 246\/287. Let t = -0.11 - -5.11. Which is the nearest to 0.2? (a) 3 (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13469 + 13465.8823. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*t + 105052 = 93272 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27e4 + 31d?\nAnswer: -24c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + m - 3 = -29*g, 2*g + 2*m = -10. Let y(t) = 2 - 4 + 5 - 15*t. What is the tens digit of y(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - b**3 - 367*b + 2*b**2 + 183*b + 183*b - 3*b**4 + 4*b**3 - 3*b**2 as q*b**2 + h*b**4 + g + m*b + w*b**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 1:09 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m**3 + 10*m**2 + 10*m - 14. Let u be -3 + -9 + (-5 - -11). Let z be k(u). What is z rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65338 and -4.\nAnswer: 261352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/(-8) - ((-204)\/(-16) + -9)) + 2120.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1158)\/(-72) - 5\/60 - (-78)\/(-65)*10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/91 and -113\/1716?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 181. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/5, -5, 0.3, -2, -0.13, -1, 1.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -16.30384.\nAnswer: -12.30384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {q: 4, r: 5, i: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**8\/20160 - r**7\/1008 + r**6\/720 + r**5\/5 - 12*r**2. Let n(v) be the third derivative of d(v). What is n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 16) in base 14?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**7\/420 - f**6\/180 - f**3\/3 + 2*f**2. Let u(j) be the first derivative of i(j). Let u(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17712*q**3 + 5*q**2 - 131025.\nAnswer: 53136*q**2 + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xqxyynxycxyynnyyc?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 + 30*k**2 - 4*k + 4. Let z(n) = 14*n**3 - 85*n**2 + 11*n - 11. What is 8*d(l) + 3*z(l)?\nAnswer: 2*l**3 - 15*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 21114?\nAnswer: -21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 225956*v**2 + 451914*v**2 + 21*v**3 - 48*v**4 - 225956*v**2 to i*v**4 + c*v**2 + y*v**3 + q*v + u and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 11*c - 13 - 15. Suppose 0 = -u + 6*u - 10. Sort c, -4, -3, u.\nAnswer: -4, -3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 10*u + 12. Let k be z(-9). Suppose 311 = 2*w - 19. Suppose 9*h + 2*h - w = 0. What is the highest common factor of h and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + x**2 - x**3 + 0*x**3 + 751 - 92. Suppose 0 = 4*l - 3*l. Is j(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*v + 5*k, 4*v - 1 = 5*v + k. Which is the nearest to -4? (a) 2 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1057 - -3186. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*k + 0*k = -30, 5*k = -2*p - 17. Find the third derivative of -p*m**3 + 4*m - 2*m**5 + 13*m**3 - 8*m + m**5 + 6*m**2 wrt m.\nAnswer: -60*m**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Let n(p) be the first derivative of 1\/3*p**3 + 2 - 1\/2*p**i + 0*p. Find the second derivative of n(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 3:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -18. Let r(m) = 11 + 4 - 8*m + k*m. What is the tens digit of r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52 + 45)\/(98\/574)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t**2 + 57*t - 105. Let b be g(2). Let u(o) = 11*o + 49. Let v(d) = 5*d + 24. What is b*u(c) + 7*v(c)?\nAnswer: 2*c + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/353 (b) -1\/5 (c) 0.2 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165873719 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 65 = -5*h, -3*a + 23 = h - 12. Let f = a + 9. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 6*w + 5. Let j be o(-6). Suppose 5*p = 5*h + 40, -28 - 7 = j*h - 4*p. Suppose 4*q + 12 = -0*q. Do q and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*v**2 + 16*v**2 + 1 - 34*v**2 + 56*v**2 to the form d*v**2 + z*v + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 9*r**2 - 11*r + 9. Give y(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 18, a: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - n. Let p be c(0). Suppose 3*l - 7*l + 20 = p. Calculate the remainder when 8 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*p + 10, y - 16*p = -19*p - 15. Solve y = -3*r, 3*v - 10 = r - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3)**(1\/33)*((h*h**(1\/4))\/h)\/(h\/((h*(h\/((h\/(h**(1\/3)*h))\/h*h)*h*h*h)\/h*h)\/h)))**48 assuming h is positive.\nAnswer: h**(1940\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (88\/24 - 7). Which is the nearest to 0? (a) 3 (b) k (c) -2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592800 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.7 + 17. Let d = 54.3 - w. Let s = -55.11 + d. What is s rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 4*b, -g = 4*b - 47. What is the remainder when 344 is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 0.073.\nAnswer: -0.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -204, -19 in descending order.\nAnswer: 5, -19, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 x when three letters picked without replacement from qqkkkqkkkkqkkkkkqx?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73754 + -24937. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 y when four letters picked without replacement from yvvyymvvymvvyvymv?\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -694 - -721. Sort 4, -0.5, n in descending order.\nAnswer: n, 4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/365? (a) -4 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 30499124\nAnswer: 3\/15249562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from uuhhhauhunuuaa.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 1167*d**2 - 4 + 298*d**2 + 1096*d**2 to the form r*d + s + m*d**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -40. Is 9 a factor of 1064\/12 - 7*(-2)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, g: 1, d: 1, q: 4, o: 2}. What is prob of sequence fq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000551 to seven dps.\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (2 + -2)) + (-145 - -139)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002934303 to five decimal places.\nAnswer: 0.00293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 - 20*a**2 - 71*a + 22. Let q(r) = r**3 + 7*r**2 + 25*r - 8. Let z(t) = -6*o(t) - 17*q(t). Let v be (-3 - -1 - -2) + 0. What is z(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/21)*m\/(m\/(m*m**(-40)\/m)) assuming m is positive.\nAnswer: m**(-844\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2730 + 2742. Solve -4*d - 4*t = g, 19*t = -d + 15*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/57 and -22\/58235.\nAnswer: 174705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 2, e: 1}. Give prob of picking 1 e and 2 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g. Let v(w) = w**3 - 11*w**2 - 11*w - 9. Let j be v(12). Let k(y) = 3*y - 2*y + j*y + 0*y. Give s(k(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcu when three letters picked without replacement from {i: 2, w: 1, k: 3, u: 1, c: 3}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(414\/23))\/(20\/1020)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*d + 16, 9 = 5*d - 3*i + 29 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p - 20. Let j be n(0). Let b = 70 + j. Let f(r) = -3*r - 1. Let q be f(-7). Calculate the greatest common divisor of q and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 20 = 12*j + a, 0 = -4*a - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 9*l + 13. Let v be m(6). Let y = 0.2 + -0.7. Which is the second biggest value? (a) v (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3))**(-2\/9)\/((c\/(c\/(c\/c**(-4\/9))))\/((c\/(c\/(c**4*c)*c*c))\/c))*(c**(-2\/33)\/c*c\/(c**(-4)\/c))**(-1\/46) assuming c is positive.\nAnswer: c**(8147\/13662)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 13*k**6\/60 - 55*k**4\/8 - 86*k**2 + 222. Let i(q) be the second derivative of g(q). Find the second derivative of i(l) wrt l.\nAnswer: 156*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7015222 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -2)*-3.\nAnswer: -33*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840222813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/77880 and 11\/138.\nAnswer: 1791240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + -0.55. Let f = 2706 + -248955\/92. Let t = f + 55\/276. Which is the biggest value? (a) t (b) w (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -31 (b) 3\/4 (c) -71 (d) 16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -698498, -698134, -697776, -697424, -697078, -696738, -696404?\n\"Answer: -3*d**2 + 373*d - 698868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -18. Solve -10 + f = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 20*h - 2. What is g(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8318235*m**3 + 1027*m**2 + 2*m - 1594 wrt m.\nAnswer: -49909410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7908011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*j + 5137 = -469 + 1373 - 4477 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2\/7 - 12594*v\/7 + 5400 = 0.\nAnswer: -6300, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40463311 is divided by 84?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -424, 5 in descending order.\nAnswer: 6, 5, 4, -424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 181519, 363033, 544547, 726061, 907575?\n\"Answer: 181514*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -471304\nAnswer: -1\/117826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158511202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2403045 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 332*d**4 + 72652*d**3 + 5295420*d**2 + 128258372*d - 21784952.\nAnswer: 4*(d + 73)**3*(83*d - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5 + 2*y - 3*y - 2 + 0. Is p(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-6 - -2)) + 0. Suppose -x - 16980 = -3*z - o*z, -5*x - 10188 = -3*z. Is 2\/(-7) - z\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 868 - 871.83. Let z = -0.17 + d. Put -0.4, 0.5, z in descending order.\nAnswer: 0.5, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 8 = 2*v. Let w be 2\/6 - 3*v\/(-72). Let t = -0.8 + -4.2. Sort w, -0.4, t in increasing order.\nAnswer: t, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1044355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - r + 7. Let n be w(-3). Suppose -5*d + d + 16 = -t, 5*d = t + n. Suppose 24 = 7*v - d*v. Solve -v*i + 16 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 21. Let h be x(5). What is the remainder when 112 is divided by 448\/20 + (-1 - h\/(-10))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 6?\nAnswer: -59\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, -325, -1270, -3113, -6154?\n\"Answer: -50*v**3 + v**2 + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(-3 + sqrt(108))**2.\nAnswer: -117 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2654*q - 2650*q + 3*y = 151, -3*q = -3*y - 87. Calculate the remainder when 1415 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 68.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011 + 110001111?\nAnswer: 1000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - d = d + 2, -4*n + 4 = -d. Suppose -24 = -b + 4*t, -2*t - n = -5. Let x = -34 + b. Sort 0.1, x, -4\/7.\nAnswer: x, -4\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2 - 0) - 1. Let f be 8\/36 + (-52)\/(-9). Let a = f + t. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -303 - 244?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/9)\/((-4)\/6). Let q = 134 + -125. Calculate the smallest common multiple of (203\/28)\/(s\/(-8)) and q.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17\/2970)\/((-15)\/8919). Let g = c + 430\/99. Find the common denominator of g and 4\/(192\/700)*9\/63.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.6. Let k = -0.2 - j. Let r = -0.149 - -0.049. Which is the smallest value? (a) -0.3 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n + 14. Let y be k(-7). Is y*7\/((-21)\/2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58058 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 184.36 + -4.36. Let j = -178 + f. Sort -1\/12, j, 5, -5 in ascending order.\nAnswer: -5, -1\/12, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 18*q**2 + 16*q - 19. Let j be m(-17). Let i be 6\/((-6)\/j) + 1. Suppose -685 = -3*w + r + 1835, i*w = -2*r + 2511. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**1)**(-16\/5)\/((p*p**(1\/4))\/((p*p\/(p\/(p\/(p\/((p**(-3)*p)\/p*p)))))\/p)))**(-18))**(-10) assuming p is positive.\nAnswer: p**(-1737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 r when three letters picked without replacement from grgnfnrgrgggfrgrgg.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/21)\/(4\/14). What is the highest common divisor of v and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4121 divide 4760492659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 7*p**2 + 10*p + 8. Suppose 0 = -226*y - 1120 - 688. Give g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 158614 and 540736.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12361 is divided by 1606?\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Suppose -2*v + 3*z + 15 = 0, -3 = -2*v - v - 2*z. Suppose v*g - q = 2*g. Solve g*a - c + 12 = -3*c, -3*a + 3*c = 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 78*s**2 - 3*s + 26. Let b(d) = -52*d**2 + 2*d - 17. Let q(t) = -8*b(t) - 5*g(t). Suppose 9*z + 39 = 57. Is q(z) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -40 + 44 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/25 + 3*(2 + (-106)\/30). Let l(w) = -w**3 + w. Let c(p) = 4*p**3 - 7*p. Calculate x*c(f) - 28*l(f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z + 3. What is f(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1042.0319 - -0.5919. What is p rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 8*c**3 - 7*c**2 - 20*c + 1598. Let r(w) = -5*w**2 + 3*w + 4. Give 14*r(i) + 3*u(i).\nAnswer: 2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -g + 27, 5*g - 2*j - 83 = -0*g. Suppose 2*y - 5*y + g = 0. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1018 to three decimal places.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 6\/41 (c) 5.8 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -18, -2, -3946, 1 in decreasing order.\nAnswer: 1, -2, -4, -6, -18, -3946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 9*g**2 - 8*g + 25. Calculate the remainder when 38 is divided by k(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.867 rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2 - 7*f - 86. Does 20 divide b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 12:00 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 - -72 - ((1 - 1) + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddd. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 4*f - 4. Let j be g(3). Let z = -1 - -4. Put z, j, 1 in increasing order.\nAnswer: j, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56, 39, 10, -31, -84?\n\"Answer: -6*u**2 + u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 8*h**2 - 7*h + 7. What are the prime factors of o(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.690765 rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -0.1756195.\nAnswer: -0.1756195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16181632, -64726525, -145634680, -258906097, -404540776, -582538717, -792899920?\nAnswer: -1035624385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 71 - 0 - ((53 - 87) + 21 + 15)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 7645?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -44. Solve 0 = q + j - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l**(-18))\/l)\/l**(-36)*l*l**(5\/2)*l*l**(-4\/5) assuming l is positive.\nAnswer: l**(237\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15068, -14268, -13468, -12668, -11868, -11068?\n\"Answer: 800*t - 15868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29.21 + 16.218. Let p = -13 - l. Let c = p - 48.192. What is c rounded to zero decimal places?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174467, -174210, -173953, -173696, -173439?\nAnswer: -173182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, o: 8}. What is prob of picking 4 o?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3867534 divided by 6?\nAnswer: 644589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -25, 22*d = 20*d - 2*p + 40. Solve -4*t + 3*l - 12 = 0, 3*l + d = -6*t + t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.02, 0.4, -69, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**5\/300 + 7*l**4\/120 + 4*l**3\/15 + 47*l**2 - 76. Let t(q) be the second derivative of p(q). Let t(h) = 0. What is h?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/(-62))\/(3\/(-6) + -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -120*i**3 + 25*i**2 - 25*i. Let t(y) = 10*y**3 - 2*y**2 + 2*y. Calculate 25*t(m) + 2*z(m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3623800915.\nAnswer: 5, 7, 467, 221707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7255 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -30, -32?\n\"Answer: -2*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201769, 0, -5.\nAnswer: -201769, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 times 79\nAnswer: -13.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117448?\nAnswer: 2, 347, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 499984407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -15, n - 3*h = -0*h - 7. Let q be 7\/(-21)*(1 + -7). Suppose 7*k**5 - 14*k**q - 6*k**3 + 3*k**5 + 17*k**4 - 6*k + n*k - 3*k**4 = 0. Calculate k.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -216*i - 1750. Determine f(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 5. Let m be (-3)\/18 + (-25)\/(-6). Let r be j(m). Let z(o) = 4*o - 3*o + 4*o - 4*o + 2. Determine z(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n - 6, -2*n - 270004 = -2*v. What is v rounded 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 square root of 1344454 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -43090281698616.\nAnswer: -43090281698613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -571 (base 11) in base 15?\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (51 - (34 - -8)) + 24?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -901*c + 894*c = -189. Solve c = -15*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/3060 and -33\/8?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 14. Let w = 21 - p. Calculate the remainder when (-88)\/(-154) + (-370)\/(-14) is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1666498 is divided by 833239.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1917\/362 or -3?\nAnswer: 1917\/362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = c + 4*c - 366, 2*c - 4*t - 132 = 0. Let f be (-3)\/12 - (-387)\/12. Suppose -2*a - f = -6*a. Calculate the highest common factor of c and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301412 (base 5) to base 6.\nAnswer: -112251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 5*l + 1. Suppose i + 2*a = 10 - 2, -5*i = 3*a - 12. Suppose 0 = 5*d + 5*s + 20, -3*d - 8 = 2*s - i. Suppose d = f + 3 - 0. What is b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 0.3 (c) -2 (d) -0.01 (e) 1.3 (f) -4 (g) 11\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 - 163195*b**2 + 1468450*b - 3263000 = 0. What is b?\nAnswer: 4, 5, 32630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/13 or 282\/11?\nAnswer: 282\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2058.41035 to the nearest 10.\nAnswer: -2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.07, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 493, 770, 1069, 1396?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/48 and 11\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180204 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 15. Let o(z) = -z - 1. Let t(y) = -2*o(y) + s(y). Let a(b) = b - 3. Calculate 26*a(d) - 6*t(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i**(-7)\/i)\/i)\/i)*i**6*i)\/(i\/(i\/(i*i\/(i\/(i\/(i*i**0*i))*i*i))))**47 assuming i is positive.\nAnswer: i**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 - 628?\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 36?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 1. Let h(z) = -7*z**2 - 11*z + 10. Suppose 45 = -10*w + 25. Let i(b) = w*j(b) + h(b). Let o(d) = -3*d**2 - 4*d + 3. Give -4*i(c) + 11*o(c).\nAnswer: 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/632 and -65\/16.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15759 - 0.13384. Round i to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + l - 9 = 3, 30 = -5*z + 5*l. Let p(f) = 4*f + 1. What is p(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w + 3*p, -7*w = -9*w + 2*p + 12. Solve -w*q + 35 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6*(-84)\/(-8))\/(239\/(-4780))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/4 and ((-46)\/32)\/(2\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 352836, 4, 0.04 in decreasing order.\nAnswer: 352836, 4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/77 in 1\/6, -0.3, -0.5, -0.9, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 3*w - 3. What is d(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 197.05307.\nAnswer: -197.05307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -166? (a) 88 (b) -1 (c) -3 (d) -0.07 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-13 - (-5 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.1 + 380.9. Let o = m - 412.7. Let r = 27 + o. What is r rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2911 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172567022 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j = 87. Let t = j + 19. Let x = 13 - t. Solve -x = -4*w - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*(sqrt(432) - (sqrt(432) + -2)) + -3 + sqrt(432) + 1))**2.\nAnswer: 6912*sqrt(3) + 17856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/((-25)\/(-5)) + (-5 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*m - 589 = 335. What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5511 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -2.44\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10965204821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*n. Suppose 8*o - 4*o + 103 = i, 0 = -3*o + n*i - 75. Let t = -10 - o. Which is smaller: t or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 136, 163, 226, 343, 532, 811, 1198, 1711?\n\"Answer: 3*k**3 + 6*k + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -20597?\nAnswer: -20595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005966972 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3de39 (base 16) in base 5?\nAnswer: -31102442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48291 or -48292?\nAnswer: -48292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-8) - 222\/(-4). Suppose 0 = -v - v + m. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/((-15)\/(-318)) - 4) + -1. Let z = -83 - i. Solve -5*r = -4*p - 0*p + 36, -5*r = -2*p + z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhmmmhhmhhmhhh?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -54, 10, 18 in increasing order.\nAnswer: -54, 10, 18, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 8 = 2*t, -13*a + 4*t + 28 = -8*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/10)*i\/i**(-3)*i**(-2\/17)*i**2 assuming i is positive.\nAnswer: i**(1051\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - -47. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 140176621*l\/2 - 19649485074977641\/4.\nAnswer: -(l + 140176621)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*u + 4 = 0, 3*g + 2*u + 2 = 7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 514 divide 1688779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*c + c - 14*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 110671981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6434 is divided by 495.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2789105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, m: 1, s: 2, q: 7, z: 1}. What is prob of picking 1 q and 1 s?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109619438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-20)*p**(-3\/8)*p*p**(-14)\/p*p*p*p**(-4\/5) assuming p is positive.\nAnswer: p**(-1327\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 4 + 41 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2\/89, 2\/5?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 325990 and 84?\nAnswer: 1955940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/144)\/((-69)\/(8073\/182)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 u when three letters picked without replacement from qlukuq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*t**3\/6 + 65*t**2\/6 - 1538*t\/3 - 442\/3.\nAnswer: (t - 17)*(t + 26)*(7*t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/12584673 and -17\/564.\nAnswer: 50338692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 0.08?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, -2 in descending order.\nAnswer: 5, -2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i + 4 + 0 + 7*i**2 + 11*i. Let p(l) = 13*l**2 + 8. Let t(b) = 6*p(b) - 11*y(b). Differentiate t(n) with respect to n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1, -5, -1\/5, -20.297?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 349 + -365 - (-24 - 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -17 - (21 + 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 458, 1479, 3072, 5237, 7974?\nAnswer: 11283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50931924 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 - 2*v - 1. Let n(b) = 2*b**3 - 17*b**2 - 11*b - 14. Let o(w) = n(w) - 6*q(w). What is the tens digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -6*j + 20. Let n(w) be the second derivative of -5*w**3\/6 - w**2\/2 + 2*w. Let x(d) = -d - 1. Calculate j*n(z) - 3*x(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*3*(-3*sqrt(2448) + -4 - sqrt(2448))**2.\nAnswer: 6912*sqrt(17) + 705312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/((v\/(v**2*v*v))\/v))\/v)\/(v\/v**(1\/2))*(((v**(1\/5)\/v)\/v*v*v)\/v)**(-16\/11))**44 assuming v is positive.\nAnswer: v**(1246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -65178, -65162, -65122, -65046, -64922?\n\"Answer: 2*q**3 + 2*q - 65182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvfvvvfvvvvvv. What is prob of picking 2 v and 2 f?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (230\/15 + -2)\/(28\/84) - 8\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a day in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:31 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (17 - 5)) + 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u**3 + 2*u**2 + 2*u + 2. Let c(j) = -j**3 + j**2 + j + 1. What is 2*c(q) - g(q)?\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211111211111 (base 3) to base 2.\nAnswer: 1101100001011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25503\/136 - 5638\/17. Let j = y - -142. Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + 7*y - 2. Let v be m(6). Suppose -v = -0*w - 4*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2 + 2*h + 15 = 0?\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9407 - 3037. What is w rounded to the nearest one hundred?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 2\/7, -444, 0, 0.2?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2128788 and 59\/1419192.\nAnswer: 4257576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 + 1297*g + 55 + 2113*g - 106 as d + a*g and give a.\nAnswer: 3410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**6\/120 - 7*q**5\/60 + q**4\/4 + q**3\/3 - 2*q**2. Let t be o(6). Calculate the least common multiple of 45\/5 - (1 - t) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/8)\/((-3)\/8) + 118. Solve -7*d = -149 + r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7524 - 7526. Which is the second biggest value? (a) j (b) 3 (c) 9 (d) 5 (e) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.2, 24, 11720 in descending order.\nAnswer: 11720, 24, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0 (base 13) in base 10?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o + 185 = 62*o. Suppose 3013 = 3*b + m, -o*m + 4690 = 5*b - 315. List the prime factors of b.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*o*s**2 + 1775306*o - 3620713*s**2 - 18 wrt o.\nAnswer: 154*s**2 + 1775306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 35*l**2 + 102*l - 9735. Give p(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(3\/2))**(-38))**33 assuming p is positive.\nAnswer: p**627","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 12*q**2 + 28*q + 2. Let p be a(-14). Suppose -2*y = p*w - 430, 1040 = 5*y + w - 3*w. Calculate the greatest common factor of y and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6897627929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -126 (base 10) to base 7\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**6\/60 - 7*o**5\/30 - 7*o**4\/12 - 43*o**3\/6 + 136*o**2. List the prime factors of m(-10).\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (279\/5022)\/((-2)\/(-8)) + (-76)\/99\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1829 - 1684. Suppose -38 + 96 = 2*c. Calculate the highest common divisor of u and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3 + 4*z + 4*z - 2 - 3*z. Let b be t(4). Suppose x - 25 = b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/120 - k**5\/20 - 23*k**4\/24 + 10*k**3 + 1383*k**2. Calculate j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + p - 1751 = -874 - 874, 27 + 1 = 4*t - 4*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 22 = -5*i, i - 3 = -3*t + 7. Suppose 3*v - 2*f - 9 = 0, 2*f - 2 = i*v - 14. What is the greatest common factor of v and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-7) - 3*57\/(-693).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 26 = 3*w, -10 = -3*w - 0*n + 2*n. Factor -2\/3*h**2 - 4*h - w.\nAnswer: -2*(h + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**8*y*y\/(y*y\/(y**3\/y*y)*y*y)*y assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*o + 11930 - 11947 = s, -5*s + 5*o = 5 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7\/2 of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k**2. Let c(j) = -95387*j. Calculate f(c(b)).\nAnswer: 100085477459*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + -6 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 701314 by -81.\nAnswer: -701314\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 171278949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 124233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -53101 (base 6) in base 5?\nAnswer: -212130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r + 9\/2*r**4 - 10*r**2 - 11 + 0*r**3. What is the second derivative of m(h) wrt h?\nAnswer: 108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 1649*n = 1644*n + 3, 20*n - 45 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 19 - 7. Suppose 3*m - 12 - 24 = 0. Let u = x - m. Is u > 1\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**7\/840 + a**6\/120 + a**5\/40 + a**4\/24 + a**3\/24 - 2*a**2. Factor z(i).\nAnswer: (i + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45899850?\nAnswer: 2, 3, 5, 305999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 1928835.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 1, x: 1, a: 1, s: 1, c: 1}. What is prob of sequence qa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*j - j. Let b be 2*(4 + j\/(-2)). Suppose -b*z + 14*z = 25. Solve 16 + 4 = -z*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhhvruhhhryrhhvyhhh. What is prob of picking 1 y, 1 r, 1 h, and 1 v?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1. Suppose 0 = -5*n - 4*p + 14, 4*n - 3*p + 0 = 5. Suppose -2*d = -w - w, n*d - 2 = x. Calculate the greatest common divisor of 7 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784353.4km in micrometers?\nAnswer: 784353400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 332*n + 1377 + 16551 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 7418497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/72 and -49\/984.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkjbjkv. What is prob of picking 1 v, 1 k, and 2 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2 - 2)*-1. Let h be 1 + -2 + d*-4. Let y be (3 - 2)\/1*3\/3. Put -3, y, h in descending order.\nAnswer: y, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8135744 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107633 (base 9) to base 5.\nAnswer: -4032133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095703 rounded to four dps?\nAnswer: -0.0957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56129326 and 348.\nAnswer: 336775956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-10))\/2)\/((9\/(-60))\/1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:09 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 578, -5, -1, 1 in ascending order.\nAnswer: -5, -3, -1, 1, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*s - 14. Suppose -12*g + s*g + 70 = 0. Calculate the remainder when 60 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -238*i + 13367. Calculate d(56).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 3*v + 4. Let n be (-2)\/(-4) - (-35)\/14. Let b be r(n). What is the common denominator of -83\/2 and 151\/(-35) + b\/(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2112, -2081, -2020, -1923, -1784?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -4 + 44\/7. Suppose -8*i + 4*i + 16 = 0. Suppose -i*o = -2*o. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 324, 0.23, 2\/3?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46244 (base 9) to base 2.\nAnswer: -111100001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - 2*f - 2. Let u(g) = -6*g**3 - 25*g**2 - 207*g - 28. Let q(l) = 5*n(l) - u(l). Find the second derivative of q(o) wrt o.\nAnswer: -24*o + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**4 + 12 - 12 + (-3*s + 2*s + 3*s)*(0*s**3 - 5*s**3 + 3*s**3) to y*s**4 + b*s + f*s**2 + h*s**3 + g and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328 (base 14) to base 10.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -32, -0.5, -1 in increasing order.\nAnswer: -32, -1, -0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -206*u + 829. Calculate q(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -5, 162 in descending order.\nAnswer: 162, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**0))**(2\/55)\/(d\/d**1)**(9\/2) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/s**(3\/7))*s*(s\/(s\/s**2))\/s)\/(s**3*s**(1\/5)))**(-3\/11) assuming s is positive.\nAnswer: s**(-24\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-552)\/(-46))\/((-15)\/(1140\/(-16))).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -662, -5834, -20018, -47720, -93446?\nAnswer: -161702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 27772*t + 1257840.\nAnswer: -4*(t - 45)*(t + 6988)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5589 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1316400 and 17040.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-3 + 470\/160).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2666?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58167 is divided by 676.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*o - 30, -10*v + 15*v - 3*o = 37. Let g(m) = -m**2 + 12*m - 3. Determine g(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 9:17 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5 - 29. Let d(j) = -2*j - 9. Let s be d(o). Let m(t) = s*t - t + 5*t - 5*t. Let p(h) = 3*h**2. Determine p(m(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/14)\/(-1))\/(4065\/3794)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146098.56136 - 1514.\nAnswer: 144584.56136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.65 - 1.15. Let w = 7.7 - g. What is the closest to 2 in w, 4\/9, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*l - 104 + 252 = 0, -2*p + 60 = 2*l. Let n be (2\/4)\/((-82)\/28 + 3). Calculate the greatest common divisor of p and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1005 divided by 67?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -2\/13 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.07884 times 1143\nAnswer: 90.11412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddxddddddxxhddddddd. Give prob of picking 4 d.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1170262*b**2 - 585130*b**2 - 585131*b**2 - 26*b.\nAnswer: b**2 - 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaqaaaaaaa. What is prob of picking 1 q and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 9*l**2 - 8*l - 29. Let v be o(7). Calculate the greatest common divisor of v and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = u + n, 0 = 2*u - 5*n - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4251, -16768, -37625, -66816, -104335?\n\"Answer: r**3 - 4176*r**2 + 4*r - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3674 and 8.\nAnswer: 14696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 + 64*f**2 + 276*f - 5508. What is j(22)?\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -749.16 - 2.84. Let f = k - -752.01263. Round f to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 76524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6377710 is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 42572192*f + 85144376.\nAnswer: 2*(f + 2)*(f + 21286094)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5435 and -0.2.\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u**3 - u**2 - 12*u**3 + 3*u**3 in the form l + x*u**3 + g*u**2 + n*u and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 101*l - 11 - 14 + 25 - 100*l. Let j(q) = 8*q - 1. Calculate 6*c(k) - j(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 4*c**2 - 4*c. Calculate q(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 7. Suppose 0 = 18*k - 19*k + n + 6, 8 = -2*k - 3*n. Solve -v*w = -k - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -1. Let r be (0 - -6) + (f - -4). Suppose -c - 18 = -v, 17 = r*v + 3*c - 62. What is the greatest common divisor of 209 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-6)\/(-2)))\/(2\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 309903365087433?\nAnswer: 309903365087430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283 is divided by 55.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 308\/9 + 111\/27 + 494\/(-114)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a. Let b(k) = -55*k. Let x(w) = 3*w**3 + 5*w**2 - 3*w - 17. Let o be x(-6). Let n = o - -489. Give n*p(y) + 3*b(y).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 524, 460, 348, 194, 4, -216?\n\"Answer: h**3 - 30*h**2 + 19*h + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 8*o**2 + 6*o**2 + 4*o + 10*o**2 - 42 - 27*o**2 to k*o + u + v*o**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 6*a**2 + 7*a + 12. Let w be u(5). What is the derivative of 3 - w*y - 10 - 18 wrt y?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4362, 8724, 13086, 17448, 21810?\nAnswer: 26172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 12053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 245 = -51*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 4*l**2 - l + 4. What is t(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1054\/11? (a) -1.3 (b) 3\/10 (c) -4 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (6 - (14 - 9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*r**3*x + 1938*r**2*x**3 + 37*r - 660*x**3 wrt r.\nAnswer: -48*r*x + 3876*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 948023352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*f - 329*f = 340*f + 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3970 = 6*f, 3*f - 3*u - 2466 = -471. Calculate the least common multiple of 117 and f.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + -3 + (3 - -7) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/320*1*-3)\/((-6)\/(-40)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9032 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7764 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18612858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -5*p + p**3 + 0 - 1\/2*p**4 - 2*p**2 + 1\/20*p**5. Let b = 15 + -10. Determine o(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 30 = 0, -2*i = 3*s + 44 - 76 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 2*u + u**4 - u**2 - 1 + u as d*u**3 + r*u + c*u**4 + n*u**2 + x and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -13*i. Let h(d) = 2*d + 229. Let z(p) = -9*p - 910. Let l(c) = -26*h(c) - 6*z(c). Give a(l(n)).\nAnswer: -26*n + 6422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 2021210011?\nAnswer: -2021210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 3*y**5\/5 + y**4\/4 + 547*y**3\/6 + 541*y. What is the second derivative of i(n) wrt n?\nAnswer: 72*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*k**2 + 7*k - 42*k**2 - 3*k.\nAnswer: -10*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(729)*-1)\/sqrt(3).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 10. What is the third derivative of -13*m**x + 2*m**6 + 2*m**6 + 4*m**2 wrt m?\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a. Suppose -4*u = -x + 14, a = -2*x + 4*u + 11 + 5. Factor -b - b**x - 8*b - 2*b**2.\nAnswer: -3*b*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 - 4)*(2 + 0 + 0) - 32 - 7 + 67 + (7 - 1 - 2)*(-2 - 1 + 4))*(4*w**4 - 5*w**4 + 1 - 4)*(3 + 3 - 19).\nAnswer: 364*w**4 + 1092","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -215445 + 215548.477. Let l = z - -1.223. Let i = l + -114. What is i rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 36 = -7*d. What is the remainder when 22 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a. Calculate f(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or 897?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*m. Let u be ((-1)\/m)\/(18\/12). Is -0.04 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3751.9983ns to days.\nAnswer: 0.00000000004342590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7652 and 11478.\nAnswer: 22956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 37050176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, 34, 100, 192, 310?\n\"Answer: 13*r**2 + r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -88, 1294.9, -0.9, 1\/2?\nAnswer: 1294.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 - 4*u**2 - 2*u - u - 5*u**3 + 0*u**3 + 2. Let f be v(-3). Suppose -f*c + 5*p = -33, p + 3*p + 24 = c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284128*b**5 - 136785*b?\nAnswer: -5682560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29 - cdd?\nAnswer: -cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9*1195\nAnswer: -10755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16453 = 4*p - 3*g, 3*p = 2*g + 16764 - 4423. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -9*i + 15. Solve 4 = i*x + 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 1283*p = 423*p + 426*p + 428*p - 489, 3*n = 3*p + 234 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 15529 = 65051. What are the prime factors of b?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 14*g**2 + 7*g - 14. Give o(-13).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*((-665)\/(-2))\/(-1). Is 9 a factor of (72\/15)\/(38\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1003 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2234*c**2 + 645625*c - 356. What is u(-289)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7394029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 16*j - 3. Let r = -7 + 9. Let t be v(r). Let d = -16 + t. What is the remainder when 36 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 264283*m + 66. Let x be w(-2). Round x to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rijdimmr. What is prob of picking 1 j and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -u + 3, 0 = -5*u - 3*k - 35. Let g = -1.1 - -1. What is the biggest value in g, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -590, -597, -630, -701, -822, -1005, -1262, -1605?\n\"Answer: -2*h**3 - h**2 + 10*h - 597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1778 - 1777.5. Sort 6, -6, h in ascending order.\nAnswer: -6, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 2. Let w be (-1)\/(-5) + 12\/g. Is -2 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eequeeqeqeeqq. What is prob of sequence ue?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110100111001100101100 - 10?\nAnswer: 111110100111001100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -98*z + 1. Let b(h) = h**2. What is n(b(y))?\nAnswer: -98*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -483*a**2 - 1769*a**3 - 17*a**4 + 34*a**4 + 1739*a**3 wrt a.\nAnswer: 408*a - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 1184?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 42 = 45. Let g(z) = -3*z**2 - z + 2. Let i(y) = 4*y**2 + y - 3. Calculate j*g(t) + 2*i(t).\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.352 + -0.048. What is the smallest value in 0, z, 1, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.91578 + 4.92. Round w to four decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10)*x*x\/(x*x**(-30)))\/(x**(-16)\/(x*(x*x**27*x)\/x)) assuming x is positive.\nAnswer: x**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 1088 (c) -4\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2823.6 and -0.2.\nAnswer: 564.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n - 3887 + 76*n**4 + 9*n**3 + 3889 - 9*n**3 to the form z*n**3 + k*n**2 + d*n + o*n**4 + b and give o.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136320823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -53.31344.\nAnswer: 52.81344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/130 and -1.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:42 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3430\/175 + (1 - 5 - 6)\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106635 is divided by 1077?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97902975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -832 - -1485. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -202*t**3*v - 422*t**3 - v wrt v.\nAnswer: -202*t**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4520, 18119, 40792, 72539?\nAnswer: 113360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1640, -3317, -4976, -6617, -8240, -9845, -11432?\nAnswer: -13001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -59273) + (-1 - -2). Let b = 24275 - g. Round b to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 88 = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149268688?\nAnswer: 2, 127, 73459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(2*i**2 + i**2 + i**2)*(-2*i**3 + 0*i + 0*i).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 304*r - 267. Let f(j) = 609*j - 535. Let q = -889 + 887. Let h(t) = q*f(t) + 5*c(t). What is the derivative of h(b) wrt b?\nAnswer: 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.02 - -3.0196275. What is v rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -14. Suppose u = h*u. Solve -m - w + 0*w = 0, -2*m - 4*w = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6)*l*l**(-2\/11)*l)**(-2\/29) assuming l is positive.\nAnswer: l**(-131\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/9 + 10*q**3\/9 + 16*q**2\/9 - 8*q\/3.\nAnswer: -2*q*(q - 6)*(q - 1)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17261 and 4631.\nAnswer: 189871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9020 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 5 + 17. Suppose -w = m*b - 22, -b + 1 = 5. What is the smallest common multiple of w and 20?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r**2 + 13*r + 4*r - 17*r.\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6*r + 10. List the prime factors of ((-14)\/(-21))\/(r\/(-180)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20301 + 10?\nAnswer: -20241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**2 + 4*n**4 - 3*n**2)*(-14 - 15 + 55) in the form g + t*n + i*n**4 + w*n**2 + c*n**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -583, -1161, -2741, -5827, -10923, -18533, -29161?\n\"Answer: -84*y**3 + 3*y**2 + y - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 19*u**2 + 6*u - 35. What is the units digit of m(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 2193 - 23168. Suppose -8*v - 791 = -j. What are the prime factors of v?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y + 12 - 12)*(75 - 18 + 11) as i + d*y and give d.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z + 2*k - 24 = 0, 5*k - 10 = 0. Solve -5*t = -5, 15*o - z*t = 10*o - 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 12 + 222 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 1, f: 1}. What is prob of picking 1 f and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*x + x - 61, -4*o = -4*x - 124. Let v = -9 + o. Calculate the remainder when 44 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(13) + -4 + 2).\nAnswer: -12*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 8*l - 7. Calculate the remainder when 13 is divided by c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**4\/24 - 11*q**3\/6 + q**2. Let p be r(6). Let f be 540\/162*3\/2. Sort p, f, 1.\nAnswer: p, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20868746 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 1\/4*o**2 + 8*o - 2 + 4\/9*o**3 + 13\/72*o**4. Factor b(c).\nAnswer: (c + 1)*(13*c + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/15 (b) 1\/13 (c) -18 (d) 1179\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7))**(1\/7)\/(i**(1\/4))**(2\/9) assuming i is positive.\nAnswer: i**(-13\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 279.8 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 21. Suppose -8 - s = -4*x. Let o = 9 - x. Solve -2*c + 1 = i, 24 = -o*c + 5*i - 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12062 to 3 dps.\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10974 - 4188. List the prime factors of v.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 6, m: 3, w: 1, q: 4}. Give prob of picking 1 m, 1 b, and 1 g.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - -1*sqrt(162) - (sqrt(2) - (0 + 0 + sqrt(2) - sqrt(2))))**2 + 2.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/25)\/(1\/5). Let p = v + -7. Suppose -p*m + 93 = m. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50934732?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(4\/16 - 1). Find the second derivative of 138*v**y - 27*v + 0 + 0 - 109*v**4 wrt v.\nAnswer: 348*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(-6\/13))\/f)\/((f*f**(1\/19))\/f) assuming f is positive.\nAnswer: f**(120\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10226 is divided by 178?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 87 = 3*l, 3*l + 37 = -4*f - 35. Let p = -8 - f. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 1, -8*z = -5*g - 3*z + 310. What is the derivative of -3*h + 62*h**2 - 70 + h - g*h**2 wrt h?\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 e, and 1 r when four letters picked without replacement from {i: 1, r: 1, w: 3, e: 6, o: 5, a: 1}?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**3\/3 - 11098*f**2 - 1810998*f - 73522566 = 0.\nAnswer: -81, 16809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:46 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/((-4)\/20). Let z be (-36)\/(-54)*(-1116)\/8. Let f = 93 + z. Sort q, 1, f, 3 in increasing order.\nAnswer: f, 1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 25*m**2 - 3*m - 50. Let y be c(-25). Suppose y*w - 3 = 22*w. What is the greatest common divisor of 3 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2 - 1391*o + 7 - 1401*o + 2795*o. Let v(d) = 7*d**2. Give g(v(y)).\nAnswer: 21*y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*v = -8, -3 + 13 = -3*o + v. Which is the third biggest value? (a) 3 (b) o (c) -1\/6 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 3401684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: What is the remainder when 42705 is divided by 331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)**(4\/13))**24*(y**(-1\/4)*y*y\/((y**3*y*y)\/y))**(1\/12) assuming y is positive.\nAnswer: y**(-1575\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 32?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 0.3 (c) 0.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 71*c + 305. What is the remainder when 1715 is divided by a(4)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 7:37 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.090349 rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, s: 4}. Give prob of picking 1 x and 3 s.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6574 is divided by 365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309933463.\nAnswer: 7, 47, 167, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*2 + sqrt(20))\/(sqrt(4) - (sqrt(144) + sqrt(144)*-2 - sqrt(4))))**2 + (-4*(sqrt(180) + 0 + (sqrt(180) - sqrt(180)*-4)))**2.\nAnswer: 6635765\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1145 + 5029?\nAnswer: 3cc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q**3\/3 + 224. Let o(c) = 45*c**2. Give h(o(p)).\nAnswer: 4050*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5))**45\/(u**10\/(u*u**(-2\/11)*u)) assuming u is positive.\nAnswer: u**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -165 + 32?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7397744, -7397754, -7397776, -7397816, -7397880, -7397974, -7398104, -7398276?\n\"Answer: -u**3 - 3*u - 7397740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 - 540*w**4 + 5904*w**3 = 0. What is w?\nAnswer: 0, 12, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 284281*a + 2. Let s(b) = -b. Give s(w(k)).\nAnswer: -284281*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7952, 11402, 14854, 18308, 21764, 25222?\nAnswer: 28682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (507\/(-104) + 5)\/(-2 + 1). What is the biggest value in -67, -4, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 10 - ((-2 - -14) + -17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-21)\/12)\/(607\/(-2100) - (-38)\/133) is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 7*u**2 + u - 5. Suppose 2*w - 21 = -3*p, p + 4*w - 14 = -p. Let r be m(p). Solve -2 = r*i - i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w. Give v(12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5933\/20741 - -1\/2963. Let q be 1\/(1 - (5 - 0)). What is the closest to z in -2, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 6) to base 5.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3225782 divided by 17822.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 0*n**2 + 9\/5*n**4 + 0 - 6\/5*n**3 - 3\/5*n**5.\nAnswer: -3*n**3*(n - 2)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1188*t + 1316*t - 1664. Calculate the highest common divisor of 13663 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 122000143?\nAnswer: -122000144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -151?\nAnswer: 26\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 264?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-23)\/(-345) + 9299\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 7 = 16. Let b(u) = -u**2 - 8*u - 6. Let t be b(-7). Calculate the lowest common multiple of a and 10\/3*(t - -2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/8)\/(6\/144). What is the common denominator of 147\/224*(2 + 80\/m) and -71\/56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37688192 and 0.47087.\nAnswer: 37688192.47087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -212f45 (base 16) in base 12?\nAnswer: -88a685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8*j - 1170 = 0. Let o = 39 + j. Let a be o\/27 + 10\/(-45). Are -8 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 + -33. Suppose 2*h - 4*q = -2*h + 32, 2*q - y = -5*h. Suppose 0 = -h*i + 190 + 254. List the prime factors of i.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-10 - -10) + 12 + -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40450 is divided by 5778.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {d: 2, c: 1, b: 1, t: 1, a: 1, l: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 + 164004*v**2 + 2204482368*v + 9662885676752 = 0 for v.\nAnswer: -15422, -10157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 92, -364, -772, -1132, -1444, -1708?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*c - 5*c - 4*c)*(0 - 3 + 1) - 4 + 3*c + 4 - 3 to the form g + s*c and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yudybykkdd. What is prob of sequence kbdd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 12. Suppose 5*h - 20 = -2*p, 0*h - x*h + 3*p = -16. Let d(z) = -z**3 + 4*z**2 + 2*z - 4. What is d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14.69, -223, 2 in decreasing order.\nAnswer: 14.69, 2, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -43. Suppose -2*z = -2, -c + 0*z - 4*z = -14. What is the lowest common multiple of m and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400796 + 22518.\nAnswer: 423314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:33 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 316.14 - 174.9. Let f = d + -0.24. Let b = 140.23 - f. Round b to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 + -144.4. What is the closest to -6 in 4, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 - 2*k + 2. Let w be n(2). Let x be 6 + -2 + w\/4. Sort x, -0.3, -2 in descending order.\nAnswer: -0.3, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 244 + 194 = 7*g + 4*u - 140, 3*g - 5*u = 91 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 1881*v + 11178.\nAnswer: 3*(v - 621)*(v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j + j**2 - 2*j**2)*(-7 - 1 + 1) + (-16 - 13 + 23)*(-3*j + 2*j + 3*j)*(0*j + 3*j - j).\nAnswer: -17*j**2 - 21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - b**2 - 2 - 4*b**2 + 1 + b**3 as m*b**2 + a + l*b + k*b**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9027073 + 4?\nAnswer: -902706c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7736854, -7736852, -7736850, -7736848, -7736846?\n\"Answer: 2*t - 7736856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1172, -9470, -32048, -76064, -148676?\n\"Answer: -1193*o**3 + 18*o**2 - o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22 = 2*u, -15 = -6*t + 3*t - 3*u. Solve -t*d = 13 - 29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/5 + 6*d**2 + 576*d\/5 + 1944\/5 = 0. Calculate d.\nAnswer: -6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*2157.704.\nAnswer: -647.3112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244 minus -4.1?\nAnswer: 3.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 0. Let v = -66 + 76. What is the remainder when p is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (136*(-1)\/48)\/(3\/(-18)). Solve 3 = 2*h + 3*p, -3*h - y*p + 4 = -12*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111022222132 - 10?\nAnswer: 111022222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.62 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-40) + (-230)\/40 - 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1666*u. Let i(w) = 4*w. Give i(y(t)).\nAnswer: 6664*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1702*h - 18581 - 32479 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x + 59. Determine p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.5 (c) 93 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-18)\/(11 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122020222 (base 3) in base 16?\nAnswer: 7e08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81005558.\nAnswer: 2, 1013, 39983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -267?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515248, -1030477, -1545704, -2060929, -2576152, -3091373, -3606592?\nAnswer: -4121809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**4\/3 + 640*t**3\/3 + 49732*t**2\/3 - 703648*t\/3 - 19243840 = 0.\nAnswer: -44, 35, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 78441.4 to the nearest 1000.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 55*p**2 - 91*p - 54. What is r(29)?\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -12001?\nAnswer: -12011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11 + 10*c + 9 + 2 - 52*c**2 - 80*c**2 wrt c?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m - 6. Let h(i) = 2*i**2 + 17*i - 24. Let w be h(-10). Suppose 36 = -6*p + w. Determine u(p).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**6)*(((v\/(v**(-1\/4)*v*v))\/v)\/v)\/v)**24 assuming v is positive.\nAnswer: v**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5589 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyy when three letters picked without replacement from dkkykddydkkdkyd?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - (-540)\/(-63))*14\/(-20). Which is the smallest value? (a) 1 (b) 5 (c) 4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2. Let k(q) = 6*q**2 - 11. Let u(v) = 6*k(v) - 33*x(v). Let f(o) = o**2 + 6*o**2 - 9*o**2. What is u(f(z))?\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1812 and 183 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10120114 - 3*z**2 + 10120113 + 2*z**2. Let w(u) = u**2 + 5*u - 5. Let a(m) = m - 1. Let p(i) = -5*a(i) + w(i). Give g(r) - 4*p(r).\nAnswer: -5*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6401.\nAnswer: 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let w be a(4). Let q(u) = -u**3 + 8*u**2 + 2. What is q(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 5*u - 1050 = 3*y, 0 = 4*u + 8. Suppose 0 = -4*r - 1188 + y. What is the tens digit of (-1)\/((2\/(-9))\/(r\/(-6)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2821751 or 0.04?\nAnswer: -0.2821751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 15. Let b = d - -26. List the prime factors of b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041972 times 657?\nAnswer: 27.575604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/36)\/(10\/3). What is the smallest value in t, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 29*n**2 - 14*n + 2. Let r be m(-14). Find the third derivative of -89*i**2 + 42*i**r + 33*i**2 - 91*i**3 + 58*i**2 wrt i.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 11*x**2 + 15*x + 1. What is n(9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35052 + -14273. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*19062\/15240 + 10\/2. Sort q, -0.1, 0.\nAnswer: -0.1, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*p + 206 = 123*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2229 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025546.\nAnswer: 2, 181, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 - 62 - 39 + m**2 - 66.\nAnswer: m**2 - 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2479072km to micrometers.\nAnswer: 247907200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -18*(-4 + 5)\/(-4 + -1). Solve -52\/5*r**2 + 8\/5*r**3 - 26\/5*r**5 + 4\/5 + 48\/5*r**4 + h*r = 0 for r.\nAnswer: -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59\/1023 or -1?\nAnswer: -59\/1023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100000 + -100001101101?\nAnswer: -11100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-15))\/(6\/15*228\/(-8))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = -5. Which is the nearest to -0.04? (a) j (b) 6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 97. Let w(i) = 9 + 10 + 5 + 24. Let q(r) = 3*d(r) + 7*w(r). Let t be q(-15). What is the nearest to 0 in t, 2, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 82. Suppose 3617 = 4*u + 3*h + 849, -h + p = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 498 = 488 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 + 5*q**4\/24 + 11*q**3\/6 - q**2 + 2*q. Let h be a(6). Solve 3*j = 3*m + 2*m + 10, -2*m - 35 = h*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxt when three letters picked without replacement from tttttxtxtt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5175.637 decades?\nAnswer: 51.75637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1715 by 2.\nAnswer: -1715\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 - 40*f**2 + 95*f - 50 = 0. Calculate f.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 16*u - 46. Let d be r(4). Calculate the highest common divisor of d and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1012\/230)\/(11\/(-165)) + -42?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.9 - -18. What is the nearest to -1\/3 in 5, -1\/9, y?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6574 + 6577. Put 0, b, -152 in increasing order.\nAnswer: -152, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*w - 64*w - 3*w)*(0*w**4 + 3*w**4 - 6*w**4).\nAnswer: 102*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/592 and -7\/592.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.7 + 7. Let h = -38 - -18. Let g = h + 22. Which is the closest to g? (a) 2 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 - 44. Let c(g) be the third derivative of -2\/21*g**3 + 2*g**2 - 5\/84*g**4 + b + 0*g - 1\/70*g**5. Factor c(p).\nAnswer: -2*(p + 1)*(3*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (14 - (5 - 1)) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -81, -109, -139, -171, -205?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Solve -10 = 3*i + n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13122 + -13716. Let l = 134 - 37. Let y = l - f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*f + 10094340 = 37*f + 104*f. List the prime factors of f.\nAnswer: 2, 3, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -128*w**3 + 6*w**2 + 3*w. Let u(k) = -86*k**3 + 4*k**2 + 2*k. Let y(a) = -5*n(a) + 8*u(a). What is the lowest common multiple of 7 and y(-1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a + 41*a + 2029985 = 5*z, 0 = -4*a + 12. What is z rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/(-45) + 2\/15. Let o be ((-4)\/(-4))\/(-2)*-1. Sort j, o, -0.3 in descending order.\nAnswer: j, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883244939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = -11 + 308. Suppose 4*r = 3*c - 167, p = c + 5*r - 54. Calculate the highest common divisor of c and 610.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -475629.\nAnswer: -190251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173954 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - (3 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1082 - 2231\/2. What is the common denominator of (-45)\/(-14) + 6\/(-2) and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5913 + 5914. Put 3, -2, -4, 8, k in descending order.\nAnswer: 8, 3, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/11 - (-2296)\/77. Let f be -2 + (q + -1 - 2). Suppose f = 3*j + 2*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 128*i - 803. What is o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.082942644 - -4.082942494. Let a = r + -4. What is a rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuzzzzzuuszzssuzzusz. What is prob of sequence zz?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/3)\/((-7)\/2). Let n = -45.1 - -45. Let y = 3 + 1. Sort y, n, i in ascending order.\nAnswer: n, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-10) + 24\/(-20). Let o(l) = 14*l. Let p be o(g). Let c = p + 31. Solve c + 12 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, y: 9}. What is prob of sequence yuuy?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111022130 + -202?\nAnswer: -111022332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7230495, -14460899, -21691303?\n\"Answer: -7230404*n - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 2*r + 1040. Suppose -z + 8 = -2*v, -3*z + 2*v = -1 - 7. Let a be q(z). Let o = a - 237. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l. Let y(d) = 299*d. Determine 91*g(h) - 3*y(h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195 - -194.9999244. What is p rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667714465.\nAnswer: 5, 11, 2617, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6 = -3*v + 20, 3*r - 16 = -2*v. Determine j so that 12\/11*j + 0 + 2*j**v + 2\/11*j**4 + 12\/11*j**3 = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(432) + -4)**2 - (-2*(-2 + sqrt(432)))**2.\nAnswer: -96*sqrt(3) + 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.3 (c) 11.912\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 1 - r + 34*r**2 + 2*r. Let o be t(-1). Suppose o = 3*k - 0*k. What is the remainder when 32 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -8. Put 4, 1, l in descending order.\nAnswer: 4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)*n\/((n\/n**(-8))\/n))\/(n**(-3\/5)*n**(-6)*n)*(n*n*n**(-3)*n)\/(n*n**(2\/7)\/n)*(n*n**6*n)\/(n\/n**(-6)) assuming n is positive.\nAnswer: n**(-234\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 - 198. Calculate the remainder when y is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -671*m - 10070. Let f be n(-15). Let r = 0.013 - -6.187. Sort r, 0.3, f.\nAnswer: f, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1566118*d**2 + 2*d + 1146657.\nAnswer: -3132236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6)**(-50))**(-1\/2) assuming m is positive.\nAnswer: m**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 10:00 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-412)\/(-385))\/(15\/(2025\/54)) + (-4)\/(-22)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.533 + -27.667. What is j rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-10))\/((-3)\/(-9))*(-18)\/(-81).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 17 = 5*c, o - 12 - 5 = -4*c. Solve 5*d = 5*h, -2*h + c*d - 3 = d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 203*v**2 - 294*v - 18347. Determine g(-204).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 8\/7*x + 6\/7 + 2\/7*x**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1 - 2*f**2 - 1. Let n(q) be the first derivative of q**6\/180 - 2*q**3\/3 + 4. Let y(v) be the third derivative of n(v). Calculate a(y(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13245 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3812582, -7625155, -11437730, -15250307, -19062886?\nAnswer: -22875467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 15*v + 28. Let z be r(14). Calculate the greatest common factor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*v**5 + 4*v**4 + 4*v - 4.\nAnswer: -1580*v**3 + 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(171) + 3*sqrt(171)) + sqrt(171) + sqrt(171))*3*-3)\/(5*-1*sqrt(81)*-5))**2.\nAnswer: 115596\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3870 + 16*k - 3870.\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6743 - -6739. Let u be 9\/7*(-3)\/9. Sort -2.7, z, u.\nAnswer: z, -2.7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 1. Let n(l) = -7*l + 164. What is 4*i(j) + n(j)?\nAnswer: j + 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 80870 - 80870 - 4*q**2. Let r(g) = 8*g + 7. Calculate c(r(l)).\nAnswer: -256*l**2 - 448*l - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 0.0019.\nAnswer: 4.0019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*z**2 + 86*z**2 + 31*z**2 + 47*z**2.\nAnswer: 198*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 237572.\nAnswer: -1\/118786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.689346 rounded to 2 dps?\nAnswer: -1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 739*g**6 + 127954*g**3 - g**2 + 2*g - 43809594.\nAnswer: 88680*g**3 + 767724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y - 430. Let s be m(48). Factor 0*l**3 + 0*l + 1\/4*l**4 - 1\/2*l**s + 1\/4.\nAnswer: (l - 1)**2*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148910119.5 + -148909189.7367192. Let d = 905.76331 - c. Let v = d - -24. What is v rounded to 6 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 3. Differentiate 2*i + 2*i - 6*i - i + k with respect to i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (585*s + 65*s**4 - 585*s)*(12 - 15 - 4)*(1 - 1 - s)*(0 + 2 + 0 + 2 + 0 + 0 + (3 - 3 - 2)*(2 - 1 - 2)).\nAnswer: 2730*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:10 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20757*s + 5 = -20756*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11348039 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, 0, -50\/41, -2, 3\/38, -0.01, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 152 - 17. Suppose -3*p + 0*p = -h. Calculate the greatest common factor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 642011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = 6*j - 2*j, -2*j = -4*p - 8. Solve h + j = -5*g + 6*g, 2*g - 7 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 183085, 183089, 183105, 183139, 183197, 183285, 183409?\n\"Answer: n**3 - 3*n + 183087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -4*u. Let l be (4\/u)\/(6\/(-39)). Suppose 0*b = b - 5*h - l, -5*h = 3*b - 39. Solve -b = 5*r + 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22156701.\nAnswer: 3, 7, 113, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2 + 2)*(43 - 43 + 28*g**2) + 3*g**2 - 3*g**2 - g**3 + (3*g - g + 0*g)*(-g**2 - 4*g**2 + 4*g**2).\nAnswer: 53*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*g = 5924, -4*g + 39 = 31. List the prime factors of j.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Suppose -f*q + 72837776 = 4*d, -3*d - q + 47526127 = -7102211. Let y = -9409447 + d. What is y rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {p: 5, z: 3, g: 2, r: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20616563831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.72 + 8.92. Round n to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-20) - 218\/8. Let j = l + 39. Suppose -4*t + j = -5. Solve t*r - r = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97043604 to the nearest integer?\nAnswer: 9851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 446*t**2 + 55442*t. Let u(p) = p. Calculate f(u(a)).\nAnswer: 446*a**2 + 55442*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 0, -291, -2.\nAnswer: -291, -10, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.6. Let i be (-25)\/10 - (-4 - -1). Sort i, y, 3\/5.\nAnswer: y, i, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b379 (base 15) in base 11?\nAnswer: 213774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4*2*2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5060 and 138?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u - 144. Let f be m(32). Suppose -11*a = -f + 49. Sort a, 9, 12 in increasing order.\nAnswer: a, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16045208 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at least -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdddvdvvbbvdwvvdvd. What is prob of sequence db?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/4 + 1590\/(-424))*(-130)\/25.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -3310121003?\nAnswer: 3310121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070916884 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2971.29 to the nearest 10.\nAnswer: -2970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -490049 rounded to the nearest 1000?\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74163458242 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -65*m + 8. Calculate the remainder when n(-1) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5 + 7. What is the first derivative of 0*m**y - 3*m**2 + 0*m**2 + 8*m**2 - 7 wrt m?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*x + 129*x - 498 = 59*x. Which is the third smallest value? (a) 2\/5 (b) x (c) 8.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -8*s + 5, -3*b = -2*s + 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**2. Let h(m) = 164*m**2 - 83*m**2 - 75*m**2. Determine x(h(a)).\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -165470.161432 from 5.\nAnswer: 165475.161432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9022179, 9022181, 9022183, 9022185, 9022187, 9022189?\n\"Answer: 2*c + 9022177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312530*-0.7.\nAnswer: -218771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21.4? (a) -3\/2 (b) -1.11 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2615426769.\nAnswer: 3, 109, 163, 49069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000300048 rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 + 1038977*x**2\/4 - 67467724764*x + 337332130245.\nAnswer: -(x - 519486)**2*(x - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:51 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6.78329 times -12\nAnswer: -81.39948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626084?\nAnswer: 2, 156521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 divided by 1670079.\nAnswer: 40\/1670079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417*v + 37475 = 2890 - 7115 for v.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -17*i. Let w(l) be the second derivative of l**7\/1260 - 13*l**4\/6 - 3*l + 2. Let f(m) be the third derivative of w(m). Give f(s(u)).\nAnswer: 578*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 87.\nAnswer: 87.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 2389*z + 28831. Determine h(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 10. Let m be n(21). Let f = m + 33. Suppose -52 - 74 = -f*k. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106065134, 106065133, 106065132?\nAnswer: 106065131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cc34c8 + -8?\nAnswer: -cc3503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 - 151*r - 146. Let c(n) = 108*n**2 + 2265*n + 2188. Let z(o) = 6*c(o) + 93*l(o). Factor z(j).\nAnswer: -3*(j + 1)*(j + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/144 and 41\/15.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 12. Let c be ((-318)\/(-42) + f)\/(2\/(-14)). Determine h so that -6\/7*h**4 + 6\/7*h**c + 0 + 0*h + 2\/7*h**5 - 2\/7*h**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - f + 10 = 0, -24459*k + 24455*k - 2*f + 12 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-1 + 2 - 2 - 1 + 4 - 2 + (1 + 2 - 1)*(4 - 5 + 3))*(v**5 - 3*v**4 + 3*v**4).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k + k**2 - 2 - 3*k + 3 - 52*k**2 - 301 + 301 - 4*k**2 + 3*k**2 + 2*k**2 + (0*k - 2*k + 0*k)*(k + 3*k - 2*k).\nAnswer: -54*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 5*u**8\/112 - 3*u**4\/2 + 32*u**2. What is the second derivative of l(y) wrt y?\nAnswer: 300*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w = -2*z, 5*w - 19 = -3*z. Let o be (-3)\/(-3) - 1\/3. Put w, 0.4, o in decreasing order.\nAnswer: w, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -75*k - 533. Let t be n(-7). Let s = 3165 - 28546\/9. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glxsxswog. What is prob of sequence glso?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 335328798 to the power of 1\/3, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -1359374 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.253 - -0.053. Let x = -4.4 - -4. Let p be 10\/55 - (-6)\/(-33). Sort x, d, p in decreasing order.\nAnswer: p, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 0*t + 2*t)*(-3*t - 7*t**3 + 3*t) + (11*t**4 + 35*t**4 - 12*t**4)*(-4 + 12 + 1) as b*t**4 + g*t + p*t**2 + i + n*t**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {k: 8, p: 1, y: 3, n: 5, e: 1, w: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.057 * -6.7\nAnswer: 0.3819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72237 divided by 404.\nAnswer: 72237\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3900 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 5*a = -3*l - 6, -2*l + a - 4 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.051 and 15?\nAnswer: -0.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaqwjfqoaqojfoofooo. What is prob of sequence fjf?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.24 rounded to one decimal place?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cppppppppcpcpcppppp. Give prob of picking 3 c.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 16 - 1. Let q be ((-16)\/6)\/(o\/(-15)). Let l(z) = -2*z - 11. Let d be l(q). Solve d*c + 14 = -1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 948 - 935. Calculate the remainder when 77 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 1. Let d(v) = -7*v + 3. Let z(u) = -4*d(u) - 9*q(u). Suppose 3*s - 4 = -2*l + 7*s, 0 = 3*l - 4*s - 12. What are the prime factors of z(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -0.5 (c) 10 (d) -5 (e) 1.4 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 51, -20, -5, 1 in ascending order.\nAnswer: -27, -20, -5, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/11 + 6*p**3\/11 - 3*p**2\/11 - 10*p\/11 = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 115389991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 8) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 21 + -1 + 0\/(-35). Solve x + 19 = 3*n, 4*n - l = 4*x + 3*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 h when four letters picked without replacement from {c: 8, h: 5}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Let g(f) be the second derivative of -7\/24*f**4 + 32*f + 0 - 25\/2*f**2 + 0*f**3. Let m(c) be the first derivative of g(c). What is k(m(z))?\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/640496 and 73\/160124.\nAnswer: 640496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 290*p**2 + 8*p + 19. Let d(k) = 97*k**2 + 3*k + 6. Suppose 21 = -10*i + 7*i. Let x(z) = i*d(z) + 2*r(z). Find the second derivative of x(y) wrt y.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102\/59 - 35952\/295. Let m = -124 - d. Let i be (1 - 1)\/(-1) - 0. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17) + -4 + -3*sqrt(17) + -1)**2 + 0 + ((sqrt(1088)*2)**2 - (sqrt(17) + -2)*-4) + 0.\nAnswer: 14*sqrt(17) + 4386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - i)*(1 - 1 + i)*(i**2 - 3*i**2 - i**2).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2674 divided by -7.\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x + 1. Let j(u) = -3*u**3 + u**2 - 3*u + 1. Let a(t) = j(t) - 2*l(t). What is a(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -863721?\nAnswer: -863725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61, -173, -369, -655, -1037, -1521, -2113?\n\"Answer: -g**3 - 36*g**2 + 3*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 0\/(-3)) + 12. Let d be -2*(0 + 27\/(-9)). Solve -2*n - j = 5*s, -3*n - 4*s = -d*n + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 4.6. Let f = j + 16. Let r = f + -12.0045. Round r to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1150 + 1044. Is -108 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 5*g**3\/6 + g**2\/2 - 25*g. Let i(f) = 9*f + 1. Give 3*i(n) - 5*x(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (372\/10)\/((-6 + 323\/51)*162\/(-135)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 10. Let q(h) = -114*h - 16. Let r(z) = 57*z + 8. Let g(f) = -6*q(f) - 11*r(f). Let d be g(l). Round d to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(13) - ((sqrt(117))**2 + 2)).\nAnswer: -124 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(3*2\/18). Suppose -q*y - y = 0. Which is bigger: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 135, 125, 101, 57, -13, -115, -255, -439?\n\"Answer: -l**3 - l**2 + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99.5 - -99. Sort -2\/11, 1\/12, x in descending order.\nAnswer: 1\/12, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 1804.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15084309?\nAnswer: 3, 19, 264637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/3 - 3*a**3 + a**2 + 37*a\/3 + 8 = 0 for a.\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 9*q - 20. What is the tens digit of n(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 2*v + 172 = -14*m, 5*m - 204 = 3*v. Solve 75 - 285 = m*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*q - 14 - 41, -s - 5*q + 45 = 0. What is the highest common factor of s and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1465, 2942, 4421, 5902, 7385, 8870, 10357?\nAnswer: 11846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -16*m**4 + 5*m**2 + 5*m - 49. Let v(b) = -24*b**4 + 7*b**2 + 7*b - 73. Let g(o) = -7*l(o) + 5*v(o). What is the derivative of g(t) wrt t?\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3085?\nAnswer: 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3368*q - 53768. Calculate v(16).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. Suppose d + 0*d = o. Let h(n) = n**2 - 4*n**2 + d*n**2 + 2*n**2. Let g(w) = 2*w. Calculate g(h(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1931519?\nAnswer: 1931519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 5*z + 152. Let m be (-3 - -3)\/(-2 + 0). Let w be a(m). Suppose 15*u + w - 527 = 0. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/59))**(7\/6))**(-2\/7) assuming x is positive.\nAnswer: x**(2\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 205 and 4.\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 5. Suppose -o = -2, 2*d - 4*o = i*d - 35. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 50 = 5. Let j be (4 - 0) + (-3)\/3. Let v(n) = n**j + 0 + n - 2 + 0 - 4*n**2. Determine v(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 8. Let f(j) = 6*j - 1. Let o(q) = 5*q - 1. Determine p*f(l) - 5*o(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46888.81 rounded to the nearest 10?\nAnswer: -46890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 10:46 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -31112 (b) -2\/9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and 3.1?\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 19*d + 214*d + 0.\nAnswer: 233*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2267 is divided by 850?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*l**2 - 112*l**2 + 67*l**2)*(2*l**2 - 3*l**2 + 0*l**2 - 2).\nAnswer: -17*l**4 - 34*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -3*w**2 + 0 + 0*w + 0*w**3 + 0*w**4 + 7\/15*w**5. Let c(b) = 28*b + 40*b - 68*b + 2*b**2. Determine x(c(f)).\nAnswer: 112*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703.9988um to nanometers.\nAnswer: 703998.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 5.6. Let h = u - -8. Let n = 8.64 + -4.64. Which is the second biggest value? (a) h (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.23 nanometers in meters?\nAnswer: 0.00000000423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(-1*sqrt(6)))\/(sqrt(5) + (sqrt(80)\/sqrt(4) - sqrt(5))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5534200 (base 8) to base 11.\nAnswer: -9277a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 285692773*p**2 + 975229802.\nAnswer: 571385546*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/312 and -137\/234.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/5 of a kilometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -27?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 10) to base 7.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69*y**3 - 1826*y**2 + 3928*y.\nAnswer: -y*(y - 2)*(69*y + 1964)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-254*q**3 + 105*q**3 + 167*q**3 + 17*q**5)*(-1 + 0 - 1).\nAnswer: -34*q**5 - 36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 376706 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: Let m(t) = t**2 - t. Suppose -2*s = -4*r + 16, -2*r + 4*r = 5*s + 24. Let f be m(r). Is -2 - (2 - (f + 33)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 26, 23, 16, 5, -10?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/(3 + -1))\/1. Differentiate -546*y**2 + 543*y**2 + q + 8*y**4 - 11 + 20 with respect to y.\nAnswer: 32*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11612727 (base 8) in base 4?\nAnswer: -21301113113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.465, 4, 2\/17, -0.03 in descending order.\nAnswer: 4, 0.465, 2\/17, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533 times -0.019?\nAnswer: -48.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 644507\/3580284 + -3\/15703. Calculate the common denominator of 101\/48 and s.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8692?\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22577? (a) -0.4 (b) 1 (c) -118.5 (d) 1\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 divided by -176?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + f + 7. Let d be r(3). Let h(n) = 7*n - 1. Let l be h(d). Let q = l + 119. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctdyttsysdyy. Give prob of picking 3 y and 1 s.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3572 + -0.35718158. What is i rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49728103\/11 - -4524322. Let u = m - 3583. Let i = -141\/55 + u. Sort 0.1, 4, i.\nAnswer: i, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4194 - -4193.941. Round g to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 5*u + 9. What is the least common multiple of z(-6) and (-97 - -67)*1\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-7\/2)*l))**32 assuming l is positive.\nAnswer: l**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + -0.1. Let h = -0.5 - c. Let z = h + 0.2999948. Round z to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 28*z**3 - 17*z**2 + 7*z + 1. Is j(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - -9.01. Let o = 0.2 + u. Let z = -9.00000408 + o. Round z to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -192217 + 192198.0034. Let k = 19 + u. Round k to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -187. Let g = n - 183. Which is the closest to -0.8? (a) 1\/4 (b) g (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(36\/(-10)))\/(44\/132)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/3 + (-89)\/((-2848)\/176).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27965781 and 1397.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from ktsesatesestkeaskgse.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*o)*(-8 + 7 + 0)*(-1 - 2 + 4) to k + h*o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*z = 326*z + 31*z + 36*z - 20240 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, v: 10}. Give prob of sequence zzz.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:08 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -12 - 0)*3\/(-4). Let k be ((-30)\/(-12))\/(3\/a). Calculate the smallest common multiple of (-20)\/(-8)*24\/k and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1312430569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y**4 - 4*y**2 + 4*y - 4. Let p(z) = -5*z**4 - 4*z**2 + 3*z - 3. Let s(w) = -4*p(w) + 3*q(w). Solve s(d) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.276*-703\nAnswer: -194.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 215 - 221 = -4*u, -3*u + 9 = -3*b. What is the nearest to -0.2 in 1\/3, -2, -2\/17, b?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + 14. What is the remainder when 69 is divided by g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 16, m: 4}. What is prob of picking 2 m?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (4 - 2) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35964?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 + 10754*m**2\/7 + 269475*m\/7.\nAnswer: -m*(m - 10779)*(m + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 807\/7 + -115. Let h = -31800\/7 + 4543. Let g = -0.3 + 0.3. What is the fourth biggest value in g, 1\/20, h, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**4 - 21226*m**2 + m - 601567 with respect to m.\nAnswer: 4*m**3 - 42452*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -161? (a) 0.1 (b) 2\/13 (c) -0.04 (d) 0.5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -60852 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 263.9 (c) 3\/5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4, -31, -68, -109, -148, -179?\n\"Answer: z**3 - 11*z**2 - z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 57. Let r(u) = u. Let q(x) = 7*x - 1. Give t*q(i) - 4*r(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 561*l**8\/56 + 11*l**4\/3 + 7*l**3\/2 + 23*l**2 - 50*l. Find the second derivative of x(p) wrt p.\nAnswer: 67320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - i + 21. Is p(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -31. Let k = 4 - a. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*m**2 - 14525*m - 735862.\nAnswer: -28*m - 14525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14.42 * -1763\nAnswer: 25422.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1008)*-2*-5)**2.\nAnswer: 100805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q)**(-1\/74)*q\/(q*q**(-7))*q*q**(-1\/4)*q assuming q is positive.\nAnswer: q**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6809340 divided by -680934?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -9*y**5\/20 - y**4\/6 - y**3\/6 + 128*y + 2. What is s(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 9\/6)\/(9\/(-6)). Let u = 0.09 + -8.09. Let f = 5 + u. What is the second smallest value in 0.3, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 10\/(-4))*2. Let j = 7 + 2. What is the remainder when 15 + 1 + (s - -1) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -61543*n**2 - 1. Let l(k) = -349*k**2. What is o(l(x))?\nAnswer: -7495998943*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -856, -2158, -3922, -6142, -8812, -11926?\nAnswer: -15478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.35? (a) -19796 (b) 2 (c) -6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109089568 divided by -54544784.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327813 is divided by 696.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-161)\/(-147) - 1 - 1\/(-14). Let p(z) be the second derivative of -7*z + 0*z**2 + 0 - 13\/12*z**4 - v*z**3. Calculate p(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 - -28.70352082?\nAnswer: 306.70352082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 15, 74, 153, 246?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1695, 934, 177, -576, -1325?\nAnswer: -2070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:17 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.15 * -0.2328.\nAnswer: -0.50052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10}. What is prob of picking 3 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -335 + 348 + (-4 - (2 + -4 + 4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2 + (1 - 1 + 1)*(0 + 4 - 2) + 9 - 5 + 5)*(-2*x + 2*x + x**2) to f*x + t + s*x**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.43 - -2.6. Let b = -0.03 - m. Let y = 1.8 - b. Which is smaller: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 18343103.\nAnswer: 55029309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 898352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 45713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6768*t**2. Let x(l) = -2*l**2. What is n(x(h))?\nAnswer: -27072*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125862605 by 25172521.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/3 and 5\/102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*j - 105*j + 3332 = 0. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**2 + 6*y - 18. Let u be x(8). Let h = u + 395. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 10*q**2 + q + 12. Let v be j(-10). What is the third derivative of o**6 + 0*o**v + 0*o**6 + 2*o**2 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3178 + -3177.97208. What is f rounded to three decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3713481 and -3713481 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 2\/9 (b) -2 (c) 3 (d) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 s when four letters picked without replacement from sbbmggbbsbmbbmmmb.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*x**2 + 7*x + 124*x**2 + x - 8*x.\nAnswer: -111*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432174 is divided by 101.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -83. Suppose 3 + 4 = -4*h + 3*q, -2*h = -5*q + 7. What is the nearest to 0.1 in v, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:46 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*q - 449, h - 4*h - 4*q + 295 = 0. Does 31 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 0.9, 1\/8, 14, 2, -9.56.\nAnswer: -9.56, 1\/8, 6\/7, 0.9, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 10. Let m be r(-9). Let p = 0.04676 + -0.44676. Which is the closest to m? (a) -2\/3 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxhj when four letters picked without replacement from qhxjzjz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 299 = 5*t - 926, -k = -t + 131. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (38 + 0 + 2)*((-2241)\/(-18) - 1) a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 61\/436019 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -29. Let x be 4 - (c\/(-4)*5 - 2). Let u(l) = -l**2 - 3. Let n(h) = 1. Let b(z) = x*u(z) + 3*n(z). Let w(t) = -7*t**2. Calculate b(w(v)).\nAnswer: -49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3294 + 9949\/3. Let m(l) = -2*l**2 + 8*l - 5. Find the common denominator of n and m(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57.912 + 58. Let s = -4.088 + x. Which is bigger: s or -15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**2 - 1846*x + 740.\nAnswer: -2*(x + 185)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21886, -43776, -65666, -87556?\n\"Answer: -21890*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 + 77. Let y be 3\/(-6)*(2\/1)\/(-22 + 21). Sort h, -1, y in ascending order.\nAnswer: h, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 193 - 859382*a - 114 + 859387*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:57 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*d + 44, -y - 2*y + d + 40 = 0. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*r - 52876 = 0, 5*w - 4*r - 31719 = 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-1) - (4 + -1). Suppose 2*a - k = -a. Let v = -2 + a. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44200 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000000 + 11100111110001?\nAnswer: 11101010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 449779785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {y: 5, t: 7, l: 2, b: 3, r: 1}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*k**3 - 3*c**3*k*v**3 + 3*c**3*k*v + c**3*k + 7*c*k**3 + 4*c - k**3*v**3 wrt k.\nAnswer: -12*c**3*k + 42*c*k - 6*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - k**3 + (2*k**2 - k**2 - 3*k**2)*(-2*k - k + 2*k))*(-4 - 3 - 8) as n + b*k + d*k**2 + v*k**3 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-6) + ((-404)\/36 - -6) and 127\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -128\/5. Let c = -7.12 - -0.12. Let i = 3 + c. What is the nearest to p in 0, i, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 - 3*v - 1. Let l be o(-2). Let f(x) = -4*x - 13. Let u be f(l). What is the greatest common divisor of u and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11992 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 29. Let s = 0.2 + 0.8. Put s, -2, n in increasing order.\nAnswer: -2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynynynynnnyny. What is prob of sequence nn?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 715\/45 + 2\/18. Let r(a) = -3*a + 9. Let g(l) = 7*l - 18. Let h(s) = 4*g(s) + 9*r(s). Let j be h(-9). Solve 0 = 4*v - d + z, v = -j*v - d + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10289 divide 3170433503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -422*j**2 + 15*j + 86. Let d(c) = -420*c**2 + 16*c + 87. Let s(n) = -3*d(n) + 2*m(n). Is s(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2205357751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-6)*9\/(-1). Let b = m + 11. Let x = b - -1. Which is smaller: x or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t, -13*n - 5*t + 10094 = -12*n. What are the prime factors of n?\nAnswer: 11, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/60 - j**4\/24 + j**3\/6 - 189*j**2. Let q(z) = 14*z**2 + 12*z - 11. Determine 22*p(g) + 2*q(g).\nAnswer: 6*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5214145 is divided by 4864?\nAnswer: 4801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 330 in -6, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71075*a*r**3 - 2*a*r**2 - a*r + 705*a + 350*r**3 + 4*r**2 + 22*r + 4 with respect to a.\nAnswer: 71075*r**3 - 2*r**2 - r + 705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/2)\/(((-189)\/(-63))\/(1*3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2115006*a**4 - 2135165*a**2.\nAnswer: -50760144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -825238*w. Let n(u) = 779*u. Calculate p(n(r)).\nAnswer: -642860402*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*c + 0 = -4, -3*w + 2*c + 4 = 0. Sort 3, 2, w in descending order.\nAnswer: w, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15461, 30921, 46367, 61793, 77193, 92561?\nAnswer: 107891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/40 - r**5\/15 - r**4\/24 + r**3\/3 + 6*r**2. What are the prime factors of q(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9372.848 micrograms?\nAnswer: 0.000009372848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 205 in decreasing order.\nAnswer: 205, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:52 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3\/4))**(-1\/36) assuming l is positive.\nAnswer: l**(-7\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*x - 1550, 2*c + 0*x - x = 633. Is 46 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 8 = -19. Let r be 6\/90*x + (-16)\/(-5). What is the highest common factor of r and 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 6*j**2 + 7*j + 4. Let k = -5 - 2. What is the units digit of g(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 11:20 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187)\/(-17) + -10*2\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = z - 6, 3*q + 66*z = 70*z + 32. Is q\/((-16)\/(-10)) + (2 - -13038) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0.6, -2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -156*r - 2. Let v be n(-6). Let m = -13017\/14 + v. Find the common denominator of -1*(-2)\/((-44)\/107) and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = -28*u - 8*u + 15*u + 1395 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 8:04 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/23 (b) 3 (c) -1 (d) -0.5 (e) 0.28 (f) 0.102\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*u**3 - 48*u**3 - 58*u + 224*u**2 + 60*u to w*u**2 + j*u + c*u**3 + b and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1588052 to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*w**3 + 216614*w**2 - 418966288*w + 89768544.\nAnswer: -2*(w - 3868)**2*(14*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 199598443 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 911.2503 millennia in months?\nAnswer: 10935003.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v - 2*c - 38, -5*c = v + 41. Let k = -54454\/15 + 3627. Find the common denominator of k and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -40.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 150*v**3 - 5*v**2 + 150*v.\nAnswer: 5*v*(v - 30)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 2*t**2 - t + 4. Let b(j) = -5611*j**3 - 8*j**2 + 18*j - 55. Let d(l) = b(l) + 4*f(l). Find the second derivative of d(x) wrt x.\nAnswer: -33642*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75316, 150604, 225884, 301156, 376420, 451676?\nAnswer: 526924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13404833, -26809668, -40214503, -53619338, -67024173, -80429008?\nAnswer: -93833843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*z - 104*z - 3*m + 35, -z = m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {q: 1, s: 1, p: 2, a: 1, o: 2, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 + 22.6. Let f = b + -32. Sort -3\/8, 1\/2, f in decreasing order.\nAnswer: 1\/2, -3\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97820*0.3\nAnswer: 29346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2) + (1 - -3). Let f = 8 - d. Suppose -5*v = f*i - 173, 2*v + 3*i = 7*i + 90. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 19 + 25 + 17*d - 44. Let k(b) = 20*b**2. Calculate k(j(x)).\nAnswer: 5780*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {n: 2, c: 1, i: 2, v: 2, y: 1, m: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2172 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/377, 3, 6?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9760\/329 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*q + 5*z, -q + 0*q = 5*z - 16. Let u = -568 - -948. Let i = u - 378. Solve i*s = q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353169127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/8*10\/(-3). Let z = h + 35. Suppose 34 = -5*p + 179. What is the remainder when p is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2039*s + 255 - 755 = 2029*s for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/45 - (-212)\/15. What is the units digit of 608\/28 + 4\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1197*b**5*z + 12*b**4*z**2 - b**2*z + 4*b*z**2 - 1185*b*z + z**2 + 10 wrt b?\nAnswer: -71820*b**2*z + 288*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*7 - -2 - (9 + -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/11 - 74*t**2\/11 - 140*t\/11.\nAnswer: -2*t*(t + 2)*(t + 35)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3991 divide 673153988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (133 - -17) + (-162 - -64)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -254509821722\nAnswer: -254509821719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.03 + -15.37. Let l = -2.9 - w. Round l to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 1\/2*j**2 - 1\/4*j**4 + 18 - 1\/3*j**3 + 1\/5*j**5 + 0*j. Factor s(t).\nAnswer: t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1525415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*b**2 + 22*b**2 - 171*b**2 - 15*b**2.\nAnswer: -284*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42980.1 + 0.203.\nAnswer: -42979.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(175) + sqrt(175)*1))**2 - ((-2 + sqrt(175) + sqrt(175) + -5)**2 - sqrt(175)).\nAnswer: 145*sqrt(7) + 5551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5589 by 207.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m + 9. Let f be -1 - (18 + 6\/m). Let s = f - -24. Solve s = 5*y - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -617 = -28*g - 673 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aady when four letters picked without replacement from ayayyaddayyad?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2905 + -2899.547. What is n rounded to one dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2112*d**4 + 394*d**2 + 12302253 wrt d?\nAnswer: 8448*d**3 + 788*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -28. Suppose -8*b = -11*b + 4*q - 139, 2*b - q + 101 = 0. Let k(c) = -c**3 - 53*c**2 - c - 43. What is the remainder when a is divided by k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -188538244.\nAnswer: 1\/94269122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -13911 bigger than -13798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(833) + 3*-1*sqrt(833) - (sqrt(833) + (sqrt(833)*-2)**2 + -5) - (-5 + 0 + sqrt(833) - (-5 + 2*sqrt(833)))**2))*6.\nAnswer: -24984 - 126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40534.\nAnswer: 2, 13, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 24*a**2 - 127*a - 2. Determine o(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 340207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -69, -156, -271, -420, -609, -844?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3750, 14908, 33476, 59454, 92842?\n\"Answer: 3705*w**2 + 43*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-13)*a)\/a)\/a*a)\/(a\/a**(-6))*(a**(-5\/3)*a)**(-14) assuming a is positive.\nAnswer: a**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30832050452)\/565 + 8\/10. What is f rounded to the nearest one million?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100010001010000101 (base 2) to base 9\nAnswer: -232824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 618557.381 to the nearest ten thousand.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - 65344*a**4 - 9*a**2 - 2*a**3 + 32677*a**4 - 103 + 32665*a**4 to d*a**3 + p*a**2 + k*a**4 + f*a + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9252459ng?\nAnswer: 0.0000000009252459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 - -76.9. Let w = 3 - u. Is w at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-1))\/((-4)\/68). Let y = -86\/5 - u. Let m = 4 - -1. Which is the biggest value? (a) y (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-70)\/21)\/(2*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Determine p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (3 + -1)) + 0\/5. Suppose -3*d = z - 34, h*d = -3*d + 3. Suppose -16*j = -17*j + z. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 18, 28, 42, 60?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 131103033?\nAnswer: -131103102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/107 (b) 2 (c) -6 (d) 2\/13 (e) 3236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by (0 + (-12)\/(-7))\/(16\/56).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, o: 9}. What is prob of picking 1 n and 3 o?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 106 = -4*a, 120 = 5*q + 2*a - 185. Let v be (40\/(-14) - -2)\/((-3)\/q). Suppose x - 7 - 12 = 0. Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:00 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Suppose u = 11 + 5. Let h(d) = u*d + 4 - 5 + 1. Calculate h(p(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:44 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7842721.\nAnswer: 31, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpuo when four letters picked without replacement from gpobbppbgypuypp?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -141?\nAnswer: -70.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -37 + (77 - 28) + -58?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20427 - 12388. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5863 - -6019. Solve -2*n - w = 37*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7300 = -364*u + 70*u - 12986 for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = d - k, 0*d + 17 = -4*d - 5*k. Let c = -0.1 - -0.1. Let i be (-5)\/(-10) + 36\/(-40). What is the third smallest value in i, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1751937\/2 - -6199226\/7. Let k = m + -9643. Find the common denominator of (-67)\/(-2 - (-2 + -2)) and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-91)\/(-35) + 3\/(-5). Let t = 83\/55 - 21\/11. Which is the nearest to t? (a) h (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4037.5 times 0.09?\nAnswer: 363.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 11 + 23 = 3*s, -s + 23 = -3*q. Suppose 0 = -5*o + s + 37. Suppose 162 = 5*t + 4*l, 5*l = -t + 15 + o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-70))\/((-450)\/(-525))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/1*2\/8. Suppose -54 = -3*m - 3*h, 2*h = 4*m - h - 37. Let s = 37\/3 - m. Sort s, 1, i in descending order.\nAnswer: 1, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -13. What is the closest to -5 in -0.3, s, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9151570?\nAnswer: 2, 5, 915157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 31*v**2 - 28*v - 78. Suppose 112 = 5*z + 4*h - 64, h = -2*z + 68. Let k be m(z). Calculate the highest common factor of k and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-317072)\/61090 + (16\/(-20) - -1) + 5?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 155924*z**2 - 3*z + 3*z - 155928*z**2. Let j(w) be the third derivative of -w**5\/60 - 2*w**2. Determine j(r(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 3, -5, 15 in decreasing order.\nAnswer: 15, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 3 - 3)*(-2*i**2 + 0*i**2 + 3*i**2) + (2*i**3 + 0 + 0)*(7*i - 2*i - i).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4495, -4393, -4119, -3589, -2719, -1425?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 28593.\nAnswer: 1258092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 283236 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 818 - -e1f?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.760303ug?\nAnswer: 0.003760303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -15. Suppose -2*c + 31 = 3*f, -3*f + 27 = 3*c - 9. Suppose -f*j + 2*j = -x. What is the highest common divisor of 25 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**5 + 3605*a**4 + 806480*a**3 + 80673120*a**2 + 3783628800*a + 68027178240 = 0. Calculate a.\nAnswer: -417, -84, -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 346705208383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 675 = 2*l + 323, -3*l + f - 1481 = 0. Which is smaller: l or -490?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 + 18 = 0. Find the second derivative of 5*a**5 + 3*a**5 + 7*a**2 + 8*a - v*a**2 wrt a.\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46258697 is divided by 170?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.4585 rounded to one dp?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79782172*f**4 - 1875559*f.\nAnswer: 957386064*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 118 = -2*s. Let p be 3\/9*49*15. Let c = s + p. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/36)\/((-10 - -14)*(-3)\/(-72)). What is the closest to -1 in -2, -0.247, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by (-52 + 43)*26\/(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 1. Let x be p(-2). Suppose -i + 9 = 4*k, -3*i = -x*i + 4*k - 6. Let n = i - -14. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 - 5*r - 6. Let g(w) = -5*w**2 + 9*w + 12. Let s(t) = 7*b(t) + 4*g(t). Let l be s(-4). What is the greatest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 - 637643?\nAnswer: -637695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 51. Suppose -67 + 19 = -4*c. Let i be s(c). What is the greatest common divisor of i and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79*5.\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -20, -n - 67 = -2*h - 0*n. What is the second derivative of h*o**3 - 36*o**3 + o**5 - 6*o wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*s + 58*s + 17*s + 20*s + 39*s + 13*s + 34*s.\nAnswer: 34*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 7. Calculate the remainder when (23\/((-483)\/60))\/(4\/(-70)) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 + 3)*(-g**3 + 3*g**3 + 0*g**3) - 2*g**3 + g**3 + 2*g**3)*(-3*g + g + g)*(-6 - 26 + 18) to o + w*g**2 + d*g**4 + a*g + k*g**3 and give d.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27201.7 or -1.9?\nAnswer: 27201.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2198*v + 46201. Calculate m(-21).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iil when three letters picked without replacement from lililll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 times 174?\nAnswer: 12006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-9)*(-12)\/(-10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 4*b**2 - 4. Let c be v(4). Let o = c + 8. Solve -o*g - 2 + 4 = 2*t, -4*g - 33 = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 4 (c) -1\/17 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 24 = -5*s. Solve -5*h = -2*h + s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-21) - 26020\/35. Suppose r - 36 = 3*h, -44 = -5*r - 5*h + 116. Find the common denominator of 50\/9 and k\/r - (-6)\/33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1779*z - 54261 - 32910 = 0 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/14 - 1275\/2100.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = x + 192*s - 195*s, 0 = -5*x - 4*s - 115 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 996413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 11*i**2 - 1904*i - 5774. Determine s(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25612 * 0.14.\nAnswer: 3585.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let d(k) = -5*k + 70. Let c be d(14). Let b(v) be the second derivative of c - 2\/3*v**3 + 0*v**2 + 3*v. Determine b(g(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 33*q**2 + 5*q + 5. Let u(c) = 49*c**2 + 8*c + 8. Let o(b) = -8*m(b) + 5*u(b). Let t(l) = -82*l - 316*l + 397*l. Calculate t(o(p)).\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 948 and 18?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 11) to base 9.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 162070.6l in millilitres?\nAnswer: 162070600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -48*c + 9. Let p = 87 + -56. Suppose -26*r + 15 = -p*r. List the prime factors of w(r).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5\/g)**(1\/15)\/(g**(-17)*g\/g**9))**5 assuming g is positive.\nAnswer: g**(379\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 437\/2 + -220. Sort 0.4, -11.9, m, 0 in ascending order.\nAnswer: -11.9, m, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 9. Let x(d) = -4*d + 19. Calculate 5*o(n) - 2*x(n).\nAnswer: -2*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -125 + 264. Suppose -u + 0*c + p = 3*c, 3*c = -4*u + 538. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1053, 1784, 2521, 3264?\nAnswer: 4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from pwkbjkjppk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1279 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-3*(-264)\/45)\/(126\/(-315)). What is the greatest common divisor of l and 55427?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1371.5618 to the nearest 10.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*u. Let l(v) = -v**2 + v + 8. Let a be l(0). Solve -4*m + 0*m - a = u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 266, 255, 236, 209, 174, 131, 80?\n\"Answer: -4*a**2 + a + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 19*r**2 + 7. Let b be p(19). Suppose -11*v = -b*v - 64. Solve y = 0, -4*s = -y + 5*y + v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005679572 rounded to four decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25 = 0, 44*j + 4*x + 368 = 48*j. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -37b2?\nAnswer: 37ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 divided by -2064?\nAnswer: -355\/2064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/14*6\/20.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2329 or 0?\nAnswer: -2329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a3 (base 12) to base 6.\nAnswer: 32323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2593238568?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b13 + 1?\nAnswer: -4b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-42)*(-3 - 2)\/(735\/(-8575)).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 31114188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9802 - 9805. What is the third smallest value in 111, c, 0.09?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 43902?\nAnswer: 5\/43902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y + 2 - 18*y + 9*y + 4*y as n*y + z and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p + 19. List the prime factors of q(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from phafhfffphff.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*y - 123, -3*y = -z - 0*y + 36. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 + 1120*y + 156800 = 0.\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222312 (base 4) in base 14?\nAnswer: -26c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*z + 68 = 4*z, -3*a = z - 96. Let m = a + -26. Suppose -g + 126 = -3*t, 2 = -m*t + 12. What is the greatest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8457340, -16914651, -25371962?\nAnswer: -33829273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 6*i + 3*y = 8, y = -20*i - 36 + 163 - 87 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 2. Let i = j - -3. Let p = i - 2. Do 0.2 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*v - 2 + 3*v**2 - v**2 - 175*v to the form i + y*v + p*v**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5, o: 2, q: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1. Let s be -1 + (-1 - 2\/(-2)). Let r(o) = 2*o - 1. Let n(k) = s*r(k) + b(k). Let i(g) be the third derivative of g**4\/12 - g**2. What is n(i(p))?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/((z\/(z\/z**(-4\/9)*z*z))\/z)*z**(-3)*z)\/(z**(2\/7)\/z**(-1\/4)) assuming z is positive.\nAnswer: z**(733\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -603*-0.2.\nAnswer: 120.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20*(-6)\/(-48)*(-36)\/(-10) and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 734*h + 13 - 734*h + 2*h**2 as g*h**2 + q + f*h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -251747 from -12812206.57.\nAnswer: -12560459.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44 - -ed98?\nAnswer: ed54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 2)*(126*z + 380 - 380) + (-z + 0*z + 2*z)*(3 - 1 - 4) in the form k + o*z and give o.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1.954853.\nAnswer: -7.819412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + k - 12 = -2*m, 0 = m + k. Suppose -2*g - 3 = -m*g. Let n = -4.18 + 3.98. Which is the nearest to -1? (a) -2\/3 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 19*g**5 + 215*g**4\/3 + 307*g**3\/3 + 67*g**2 + 56*g\/3 + 4\/3 = 0.\nAnswer: -1, -2\/3, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*k = 0, 3*k = -3*n - 2*k + 14. Solve -10 = -2*h, -w = -n*w + 4*h - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4\/9, -60357.09, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23, 44, 63, 80?\n\"Answer: -b**2 + 24*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.273*-1076.3.\nAnswer: -293.8299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 13 = -5*t + 13, 3*m - 9 = 0. Calculate the remainder when 62 is divided by t\/((-2)\/(1*-6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/126*(-588)\/(-504)*3\/(-2).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 39. Let y(v) = -v + 1. Let o(l) = 9*l - 4. Let z(h) = -o(h) - 5*y(h). What is the remainder when z(-8) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - 4.6. Let m = 4 - 0. Let v = -6 + 5. What is the nearest to v in -2\/7, o, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 26. Let c be 3 - (6 + (-16)\/4). Solve -3*x - 4*l = 3, -f = x - 2*l - c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7265882 and -51220234.\nAnswer: -43954352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 182\/(-35))\/(1\/(-75)). What is the second derivative of 16*q**2 - 17*q + 11*q - 2*q**5 - r*q wrt q?\nAnswer: -40*q**3 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1992112.188 to the nearest one hundred.\nAnswer: 1992100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646 - 527 = -223*u + 154*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -5*u + 60. Let f = -5 + -22. What is the units digit of (120\/u)\/((-2)\/f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/6*-1*(-24)\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by 66\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 5:27 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.3. Let c = 31 - 30. Is c at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384488 and 9127893?\nAnswer: 949300872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 14*i + 13. Let p be m(-13). Suppose -6*u + 16*u + 840 = p. Let b = 168 + u. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 1\/1490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y + 10 = 0. Let s(a) = -1 + a - y*a**2 - 6*a - 5*a + a**3. What are the prime factors of s(11)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -26 + -13 - -30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34d3 + -14822?\nAnswer: -1133e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19548 and 162.\nAnswer: 58644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-8 - 5 - -24)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-24)\/28 + -1. What is the nearest to v in 0, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3561, -3738, -3929, -4140, -4377, -4646, -4953, -5304?\nAnswer: -5705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 4256 = -8*b. What is the remainder when 200 is divided by b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 4*z**2 + 9*z**3 - 18*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 556265\nAnswer: 3\/556265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5 (b) 1\/4 (c) 0.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 778335 a multiple of 1255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*w = 0. Let q = w - -4. Let f(n) = n**3 - 5*n**2 + 4*n + 4. Let v be f(q). Solve 2*b = 2*o + v + 10, -4*b + 19 = -o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18037 is divided by 3577.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((18\/(-9))\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 234\/8 - (-6)\/(-24). Suppose -2*l + 5*l - f = -d, 0 = 4*l - 4*d - 60. Calculate the least common multiple of l and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 44237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 6. Let p(u) = -9*u + 3 + j - 2. Calculate the remainder when p(-3) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*o - 47*o - 48*o)*(3 - 3 + 3*o**2) + 0*o + 0*o**2 + 2*o + 5*o**3 - o**2.\nAnswer: -37*o**3 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 220c - -2?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**3 - 2*m**2 - 5*m - 57. Calculate z(-5).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5 - 24594*o**4 - 513369*o**3 + 14559426*o**2 - 98000604*o + 206649144 = 0.\nAnswer: -8177, -39, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 396 = -10*c. Let n = c + -48. Suppose 2*o = 2*q - 13 - 249, -2*o = -3*q + 388. What is the greatest common divisor of n and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 24. Let u be 6\/c + (-18)\/(-8). What is the second derivative of 0*r + 2*r**3 + r**u + r wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 - -0.3. Let m = 0 - o. Let c(k) = -3*k + 19. Let q be c(6). Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by -59\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.3191046 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 23*j + 3*r = 21, -r = 19*j + 55 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 4, t: 4, a: 3, y: 3}. What is prob of sequence yyta?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03059723835 to 4 dps.\nAnswer: 0.0306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*c**4 + 3*c**3 + 74*c**2 - 47725*c wrt c.\nAnswer: 108*c**2 + 18*c + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + -11 + 13\/12. Let r be -44 - (-2 + (-2)\/(-2)). Let t = r + 173\/4. Which is the closest to 2\/5? (a) t (b) 1\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 316131447 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 7:32 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 + 8791280*p**4 - 4830280881268*p**3 - 144914650724152*p**2 - 927469068716800*p + 2473238846720000 = 0 for p.\nAnswer: -16, 2, 1098925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h + 5. Let d(b) = -3*b + 16 + 12 - 26. Let x(c) = -7*d(c) + 3*f(c). Let m(z) = 4*z + 2. Calculate -5*m(s) + 7*x(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.7422*-0.1.\nAnswer: 0.77422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8013*g**2*m**3*r - 2*g**2*m**3 + 2*g**2*m**2 - 5*g**2*m*r + 4*g*m**3 - 11*g*m with respect to r.\nAnswer: 8013*g**2*m**3 - 5*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 41*c**2 + 19*c - 31. Let j be r(-40). Is 811 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2*(55\/(-15))\/(-11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 75689\/2 or 37846?\nAnswer: 37846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -107*j**2 - 31*j - 28. Let n(d) = -72*d**2 - 21*d - 19. Let v(l) = 5*a(l) - 8*n(l). Let z be v(-1). Solve -9*c = -c + z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65830 + 1.4084.\nAnswer: 65831.4084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**4 + 2884*g**3 - 98340*g**2 - 205348*g - 104120 = 0.\nAnswer: -1, 38, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 23. Suppose -4*p = 3*b - 29, 5*p - 21 = -2*b + s*p. Solve -4*x = -4*t + 13 + 15, 9 = -b*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4\/8 - 93*v**3\/4 - 183*v**2\/8.\nAnswer: -3*v**2*(v + 1)*(v + 61)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 890 and 374245.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1 + 4) + 5. Solve -2*m - 12 = -4*k, -3*k - a*m + 3*m - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158861994 to the nearest integer?\nAnswer: 12604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 1\/6 (c) -1\/2 (d) 3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 372 - 361. Let t be ((-17 - -1) + 0)*3. Calculate the common denominator of 9*(110\/t)\/u and 73\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -951 + 954. Which is the third biggest value? (a) j (b) 0.5 (c) 0.343 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (230\/345)\/((-6)\/135)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260002, -520648, -781296, -1041946, -1302598?\nAnswer: -1563252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 14*y + 16. What is b(-34)?\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 + 0\/(-2). Let d be ((-18)\/3696)\/(1\/(-4)). Let v = d + 85\/154. Put 0.2, v, n in descending order.\nAnswer: v, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57\/171 + (-14)\/(-3). Suppose a*i + 8*w - 559 = 7*w, -5*w - 341 = -3*i. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3744 divided by 12?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 510 - 1004. Let h = n + 493. Which is the closest to h? (a) -5 (b) 0.2 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.66.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u + 0*u - 68 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzsueeezszzzzzszus. What is prob of picking 1 s and 2 z?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17896866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + z**2 + 0*z**2)*(-2 + 0 + 1 + (0 + 3 - 1)*(4 + 4 - 5))*(-6*z**2 + 29*z**3 + 6*z**2).\nAnswer: -435*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 3, 0.5, 1\/4 in descending order.\nAnswer: 3, 0.5, 1\/4, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1135 or 1099?\nAnswer: 1099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69736, -139468, -209200?\n\"Answer: -69732*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 4*s + 14. Let q be w(-6). Suppose 4*p - o = 3*o + 272, p - 73 = q*o. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3 + -1 + 2). Let r be l - -1 - (-6 - -12)\/3. What is the nearest to r in -2\/3, -0.1, 1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -350 - 1232. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2890436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -33*n - 1948. Let r be q(-61). Calculate the greatest common divisor of 110 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + 3 - -8 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0)**33\/(d*d**(-1\/3))**(-4\/31)*((d*d**(2\/5)*d)\/d)**27*d**0\/d**5 assuming d is positive.\nAnswer: d**(30637\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66, -390, -922, -1656, -2586, -3706, -5010, -6492?\n\"Answer: g**3 - 110*g**2 - g + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-1 - 1)) + -5 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = -5*z - 7*v, 0 = 5*z - 3*v + 2. Sort 0, 3, z in descending order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20\/3 - -27\/4. Let h = n + 0. Let s = h - 1\/3. What is the third biggest value in -2, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-8)*1*8. Suppose 2 = -h + t. Suppose h*m + 0 - 14 = 0. Calculate the remainder when 20 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -12) + 704 + -705\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 4232 and -704 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/75 and -69\/116602150?\nAnswer: 349806450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2116 and 0.06285.\nAnswer: 2116.06285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 175 + -137. Let v = m - 33. Solve 2 = a + h + v, 0 = 3*a - h + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/5 - 6*s**4 - 154*s**3\/5 - 66*s**2 - 252*s\/5 = 0?\nAnswer: -7, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/297 and (-87)\/15 + -8 + (-180)\/(-24).\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/57195 and 17\/16036920.\nAnswer: 657513720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - 2*s**2 - s**2 + (5*s**2 + 9*s**2 + 2*s**2)*(-1 + 8 - 6) + 2*s**2 + 3*s**2 - 3*s**2.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 869190 to the nearest 10000.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (3 + -1 - 0). Suppose -5*c = -t*c + 33000. Round c to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 93*n**2 + 13*n + 370. Let z be k(40). Round z to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500.4731ng to kilograms.\nAnswer: 0.0000000005004731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Suppose -9 = -5*c + 4*s - 0*s, c - h*s + 3 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -7380*i**5 - 36956*i**4 + 7100*i**3 + 125516*i**2 - 87608*i - 672 = 0.\nAnswer: -4, -3, -14\/1845, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5)**(5\/8) assuming h is positive.\nAnswer: h**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**2 - 1224*c + 124848 = 0.\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - ((-4 - -15) + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -108?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6565992 rounded to 2 decimal places?\nAnswer: 10.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 7*h**6\/360 + 37*h**3\/3 - 4*h**2. Let g(x) be the first derivative of r(x). Let i(s) = -s + s + s + 0. Give g(i(l)).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -28*r. Let f be w(1). Let i(d) = -d**3 + 7*d**2 + 2*d - 11. Let u be i(5). Let m = f + u. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*z - 2*o + 35, -5*o = 3*z - 23. What is the lowest common multiple of z and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 6*l**2 + 4. Let p be i(6). Let s be 2 - (12 - -1 - 13). Factor -3*c**s - 3\/2*c**5 + 3\/2*c**p + 3\/2 + 3*c**3 - 3\/2*c.\nAnswer: -3*(c - 1)**3*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-12)*9\/(-2). Let x be (2\/6)\/(2\/18). Suppose 3*j = g + 11, -x*g = -j + 2 - 1. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 15 = -p + 5*z, -5*z = 0. Suppose 4*f - 161 + 55 = -5*g, 3*g - 81 = -p*f. What is the greatest common factor of 29 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2600496 + -21.0928\nAnswer: -23.3528496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 7*k**2 - 2*k + 19. Determine d(8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589103 to the power of 1\/2, to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-3)\/45*1)\/(9\/25).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 7, e: 9}. What is prob of sequence klkk?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 1062 = 4*t, -2*t + v + 806 = t. Let w = t - 181. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006*p + 72568*p + 68644*p - 13981*p.\nAnswer: 126225*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -500.2 - -499.3. Which is the third biggest value? (a) y (b) 5 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -400\/7*f**3 - 4\/7*f + 80\/7*f**2 + 0 = 0?\nAnswer: 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 15*m + 11076 = -14*m, 3*u + 3*m = 8298. List the prime factors of u.\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101233 (base 5) to base 12.\nAnswer: -1b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. Let z be ((-25)\/15)\/((165\/(-54))\/11). Let r(f) = -2*f - 3. Let l(g) = -g - 1. Determine o*r(m) + z*l(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 16 - 24 = -k - 15, -11*i = -15*i - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 145768440317?\nAnswer: 145768440317.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 897\/598*(-20)\/1095?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 3)*3.\nAnswer: 9 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 326203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/8 - 3918*r**2 + 15669*r\/2.\nAnswer: 3*r*(r - 10446)*(r - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -6 + -1 + -842 + 870 - -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u - 5*j = -10, -2*j = -8. Suppose u*o - 5 = -1. Find the second derivative of -10*w**3 + 10*w**3 - w + o*w**5 wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*s = 26 + 51, 5*b + 5*s = 65. Let r be (32\/(-12))\/((-2)\/6). Let v = -2 + r. Calculate the remainder when b is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -51. What is the closest to -0.1 in -2\/19, q, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -10689, -2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 743*g**5\/15 + 21*g**4\/8 + 1195*g**2. What is the second derivative of t(h) wrt h?\nAnswer: 5944","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -70.\nAnswer: 27\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 243997.65 rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293\/5 - 12\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5)**26\/(h**(1\/10)\/(h\/(h*h\/(h\/h**5))*h)) assuming h is positive.\nAnswer: h**(1259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11422 (base 15) to base 14.\nAnswer: 1603a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbttbtt. Give prob of sequence bttb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-286)\/(-133) + 30\/70 and 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4635769 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/4 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/34)\/3 + 54\/459\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249741886.\nAnswer: 2, 624870943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + f - 5 = -4*c, 5*c - 2*f + 16 = 0. Let m be c\/(-7) - 48\/168. Suppose -3*k - 38 + 206 = 5*u, m = -5*u + 15. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 7*i**2. Let t be s(-7). Find the third derivative of x**2 + 2*x**3 - 7*x**3 + t*x**3 + 0*x**2 wrt x.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7581 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4 times -0.3?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/10*-3*(-15)\/(-135). Let y = j + 1\/5. Sort y, -5, 0.1.\nAnswer: -5, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453524 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 4:52 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:37 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-56)\/6)\/((-14)\/(-231) + 0). Let j = 236 - l. Round j to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + j - 54 = 0, -30 = -333*h + 331*h + 5*j. Let c = 13 + -18. What is the smallest value in h, c, 0.2, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -5*p**2 + 70*p + 6836. What is u(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from ybbjbjbjby?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 3, 1, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*n - 7302 = -193*n + 5549 + 13609 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 316*-0.1013\nAnswer: -32.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -8 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 75*t - 547. Determine w(9).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.784883.\nAnswer: 0.784883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 3*y + 6. Suppose -y*d + d = 5*m - 51, -d = m - 47. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, -8\/7, 0, -24, -2 in decreasing order.\nAnswer: 0, -2\/49, -8\/7, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6749 + -6750. Is v greater than -5\/1567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3592.293 decades to years.\nAnswer: 35922.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -210?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 343537 and 83?\nAnswer: 343537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/4 of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8651563?\nAnswer: 71, 121853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 196*q**2 - 52*q + 764. List the prime factors of w(-98).\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 571 and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -20, 12, 68, 154, 276?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 242 + 289 = 0. Suppose -p - i = -4*p. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/49766 and 75\/2384.\nAnswer: 398128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 61\/24*g**4 + 0*g - g**2 + 1 - 1\/30*g**5 + 113\/6*g**3. Differentiate o(f) with respect to f.\nAnswer: -4*f + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:10 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjwxwxi. Give prob of sequence wwn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.9 + -18. What is the biggest value in 4, l, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*n = 10, 0 = o - 117*n + 115*n + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5166 (base 7) to base 2.\nAnswer: -11100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 191, 623, 1457, 2825, 4859, 7691?\nAnswer: 11453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -23, -31, -39, -47, -55?\n\"Answer: -8*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - c + 50392, -26*m + 5*c - 33006 = -1343167. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.55417 milligrams in micrograms?\nAnswer: 18554.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7474)\/(-8))\/((6\/(-6))\/4). Let f = -1870 - q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 20 + 2)*(6 - 1 - 1)*(10 + 7 - 1)*(3*x - x - 4*x - 2*x - 3*x + 4*x + (0 - 2*x + 0)*(5 - 3 - 1) + 0 - x + 0).\nAnswer: 4224*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 143d8 (base 14) to base 8\nAnswer: 141772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42030208?\nAnswer: 2, 11, 29851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + 2*f)*(-11 - 14*f**2 + 23*f**2 + 3*f + 10).\nAnswer: 18*f**3 + 6*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15123694, 15123707, 15123746, 15123823, 15123950?\n\"Answer: 2*f**3 + f**2 - 4*f + 15123695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1623560 and -0.26.\nAnswer: 422125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7269574)\/(-390) - (3\/(90\/(-122)) - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 30 + 26 - (-2 + 2 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-3 + 8)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 1:00 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248 + -451. What is the hundreds digit of (-30)\/(-6) + -3 - (z - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 4*d**2 + 4*d. Suppose -37 + 25 = -3*n. Let i(s) = -2*s**3 + 3*s**2 - 3*s. Calculate n*i(o) + 3*j(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139\/3 - 46. Let d = 173 + -134. Let s = d + -40. Put s, t, -2\/15 in increasing order.\nAnswer: s, -2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 3. Let z(x) = -x**2 + 63. Let i be z(-8). Which is the nearest to -4? (a) y (b) i (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 5. Let k be a(3). Is -3 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**2 - h - 5. Suppose 13*w + 25*w = 152. Calculate f(w).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 381\nAnswer: 38.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnr when three letters picked without replacement from {r: 3, n: 3, y: 1, l: 5}.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 207?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k - 99. Calculate j(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 517118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g**5 - 417*g**4 - 1699*g**3 - 72960246*g**2 wrt g.\nAnswer: -900*g**2 - 10008*g - 10194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*((0 + 2 + 1)*(-2 + 2 + f) - 2 + f + 2 + 4*f - 4*f + f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1414*z**2 + 220*z + 449. What is the tens digit of h(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1210 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*20\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 523106, 521502, 519898, 518294?\n\"Answer: -1604*q + 524710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 47 - 4*p + 47.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 13\/12*k**4 + 11\/10*k**5 + 0*k**2 - 14*k + 0 + 0*k**3. Find the third derivative of a(p) wrt p.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -7\/3*k**3 + 0*k + 1\/2*k**2 + 5. Find the second derivative of b(u) wrt u.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -268*c**2 + 103 + 94 - 292 + 95. Let j(l) = 3*l**2. What is j(h(u))?\nAnswer: 215472*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18817 divided by 6.\nAnswer: 18817\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1\/7, -1\/3, 6.664 in decreasing order.\nAnswer: 6.664, 1\/7, -2\/11, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13*k + 5. Let p(d) = 7 + 4 + 3 - 6 + 20*d. Calculate -8*o(a) + 5*p(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1634785 and 398?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -46*n - 1. Let p(c) = 562*c - 643. Determine p(h(k)).\nAnswer: -25852*k - 1205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/46 - 10\/69. Let t(j) = j - 3 + j**2 + 5*j - 4*j - 1. Let r be t(-4). What is the second smallest value in r, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -47*a**3 + 6*a**2 - 11*a - 4. Let y(w) = 93*w**3 - 12*w**2 + 20*w + 7. Determine -6*y(x) - 11*z(x).\nAnswer: -41*x**3 + 6*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(48\/10 + -3). Suppose -5*l - 41 = 54. Let z = w - l. What is the remainder when z is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i - 2. Let y(a) = a + 1. Let c(f) = v(f) + 6*y(f). Let p be c(2). Suppose p*g - 90 = -3*g. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) + (sqrt(1620)*-2 - sqrt(20)))\/sqrt(10)*6)**2 + 1.\nAnswer: 23329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 142882.616 to the nearest one hundred.\nAnswer: 142900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154714 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-5))\/(3\/30). Let w be (18 - 0)\/(f\/10). Let r = w - 27. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3412049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16551, 33045, 49539, 66033, 82527, 99021?\n\"Answer: 16494*s + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from eceeqemmmgem?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686 smaller than 1683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - (-11 + 0 + -4)) + (2 - 11 - -6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = 10*w + 140 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31774?\nAnswer: 2, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -6*r + 18. Let c = -10 - -13. Solve -10 = c*k + n + r, 0 = -2*k - 2*n - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039340303 rounded to six decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 7*j = -5*k + 16, 0 = 3*k + 3*j - 6. Let x(m) = m**3 - 4*m**2 + 3*m + 4. Determine x(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 121*o. Let l(a) = -2017149*a. Give l(v(c)).\nAnswer: -244075029*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 8\/2 + 6. Let f(n) be the second derivative of -1\/25*n**5 + 0*n**2 + 1\/75*n**6 + 3*n + 0 - 1\/30*n**o + 2\/15*n**3. Factor f(p).\nAnswer: 2*p*(p - 2)*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4\/9 + 56*n**3\/9 + 212*n**2\/9 + 304*n\/9 + 16.\nAnswer: 4*(n + 1)*(n + 2)**2*(n + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 70 = 6*v. Let a = 141\/4 + v. Factor -a*p + 1\/4*p**2 + 1\/4*p**3 - 1\/4.\nAnswer: (p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t - 3. Let l(c) = 4*c - 111. Let a(n) = -n**2 + 7*n - 10. Let s be a(5). Let o be l(s). Let q = o + 108. Calculate k(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -5. Let a = x - -17. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1.7, -4, -3\/8, 0.2 in decreasing order.\nAnswer: 12, 0.2, -3\/8, -1.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -566 divided by -1\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*k = 3*k. Suppose -o - 4 + 2 = k. Let n(q) be the first derivative of q - 1. Let b(z) = z + 4. Calculate o*b(p) + 7*n(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3*294)*4920\/410.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*v = 2*k - 3*k - 446*v + 186, 3*k + 14 = 4*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:45 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*g = -g - 24, 4*r + 3*g - 12 = 0. Suppose 0 = -2*y + 16 - r. Find the third derivative of 20*t**2 + 195*t - 98*t - 97*t - 9*t**y wrt t.\nAnswer: -540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27513356 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152941503 by -4634591.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137324.\nAnswer: 2, 11, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191 + -96. Let n = -95.645 - 1.305. Let k = n + c. Round k to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31201*z**3 - 31273*z**3 + 62304*z**3 + z**2 - z**2.\nAnswer: -170*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3102.139ns?\nAnswer: 0.003102139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2233 and 131021.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438724189?\nAnswer: 7, 205532027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3274086197797 and -7.2.\nAnswer: -3274086197804.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 884899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(13262 - n + 864*n**4 - 13262) as s*n**2 + j*n**4 + u + y*n + d*n**3 and give j.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953.85 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 3*t - t)*(2*t - 5*t + t + 0 + 2*t + 0 + 1 - 1 + 2*t + (2*t + 0*t + 0*t)*(2 - 4 + 3) - 5*t + 2*t - 7*t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from bpppbpbpppbbbpbbbppp.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - 1) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, -2, -3, -2\/3, -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -431\/10 (c) 2\/5 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 613807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860786921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 1. Let h be n(2). Let q = h - 5. Suppose -5*r + 2*r = 0. Is q greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 8 - (-13 - -7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 15. Let q = 13 + z. Solve 0 = -q*u - 13 - 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 891 = 315. Is 30 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/29 - -2381\/58. Let q(l) = l**3 - 6*l**2 - 9*l - 7. Let o be q(7). Calculate the common denominator of (-1)\/(-2)*o - 0 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-81)\/6)\/((-9)\/720)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21175 and 525.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6 - 1428\/(-24). What is the greatest common factor of 472 and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 3*y - 1. Let n be d(1). Suppose h + 15 = 5*j, j - n = 1. Let l(k) = -2*k**2 - 13*k - 6. What is the smallest common multiple of l(h) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3920 is divided by 3370.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-37 - -34) - 29) + -14?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*r**2 - 27410*g**3*r + 3*g**2*r + 4*g*r**2 + 16594*g*r wrt g?\nAnswer: 6*g*r**2 - 164460*g*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3 + 712\/4. What is the derivative of a*v**4 - 162*v**4 - 9 - 4 wrt v?\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/47 in 131, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101938907.\nAnswer: 7, 2467, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103139941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*r - 42. Suppose 0 = 3*p + 6 - r. Suppose 0 = -2*l - 4*v + 52, p*v + 12 = -l + 44. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42131\/164 - -1027\/4. Let t = -223\/123 - v. Which is the third biggest value? (a) -2 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0836+0.04\nAnswer: 0.1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 t when four letters picked without replacement from {b: 2, t: 4, p: 8, g: 3}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/99 and 2\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 82\/10 + 2\/(-10). Let t(l) = l**3 + 9*l**2 + 13*l. Let n be t(-7). Suppose -n - d = -w. Is w less than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 11. Let h be z(-10). Let s(u) = 3*u**3 - u**2 - u. Let o be s(h). Is (o - -111) + -4 + 2 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.694 + 0.694. Which is the third biggest value? (a) 10 (b) -1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 2 = -5*a. Let r = a - -11. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 3*k + 4. Suppose -23*t - 195 = -1046. Suppose -t*n + 15 = -42*n. Give c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 21*j - 140 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35826174*y**5 + 12885316*y**2 wrt y?\nAnswer: -2149570440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5\/7 + 51*u**4\/7 - 153*u**3\/7 - 627*u**2\/7 + 2094*u\/7 - 1368\/7 = 0.\nAnswer: -19, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34 + 2862\/(-81) + (3 - 1). What is the nearest to 0.1 in m, 0.3, -677?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.87 - 0.93. Suppose -7*o - 10 = 3*o. What is the closest to r in -0.13, o, -3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 2, j: 4, s: 5, o: 3}. Give prob of sequence oo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10)\/(2\/10). Let u(g) = -g**3 + 5*g**2 + 5*g + 5. Suppose 4*p = p + 18. Let x be u(p). Which is greater: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 8:46 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:12 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r = 0. Suppose r = 5*y - 19 + 4. Solve -1 + 2 = g + f, y*f - 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*j**2 + 17*j + 342*j + 157*j**2 + 290*j - 150*j wrt j.\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 68338, 1\/60, -5?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*m**3 + 5042*m + 268283?\nAnswer: 18*m**2 + 5042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 24 = -i. Calculate the greatest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) 263630 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**3 + 5*k**2 + k - 5. Let n = 10 - 6. Let d(w) = -2*w**2 - 3*w + 4*w**3 + 2*w + 6 - n*w**2. What is 6*b(r) + 5*d(r)?\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-7) + 1\/(-7). Let n(x) = -p*x + 2 + 7 + 3*x + x. Let v be n(-7). What is the greatest common divisor of 16 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13702\/34)\/(-31))\/1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from {x: 2, m: 4, p: 3, z: 1, h: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h - 19*k + 23*k = -28, -2*k + 0*k = h - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 11 = g - f, 98 = -3*g - 5*f. Let r = g + 35. Solve -t + 8 = h + 3*t, r*h = 5*t - 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -1\/2, 5, -7, 189 in ascending order.\nAnswer: -7, -1\/2, 4\/7, 5, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 19. Let t be n(7). Let z be (t - 6) + 19 - (4 - -1). Put z, 0, -263 in increasing order.\nAnswer: -263, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280745 and 35?\nAnswer: 1965215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7203 less than -0.3?\nAnswer: 7202.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 88*z + 89*z + 90*z - 274*z - z**3 to the form q*z + g*z**2 + r + i*z**3 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:21 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255 + 409*a**2 - 8*a + 255.\nAnswer: 409*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4420 = -4*k + 4430, -5*v - 24 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 1030560?\nAnswer: 1030564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-42))\/u**(-1))\/(u**(-8)\/u)**7)**(3\/20) assuming u is positive.\nAnswer: u**(69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*m**2 - 26626*m - 3426720 = 0. Calculate m.\nAnswer: -121, 14160\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 41 = 3*u, -2*u + d + 11 = -38. Suppose -5*h + u = -23. Let y be (-3*2)\/(h\/(-6)). Calculate the greatest common divisor of y and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 24851885.\nAnswer: 1\/24851885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2084?\nAnswer: 3\/2084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*c**3 + 2*c + 10*c**3 - c - 2*c**2 + c**4 + c**2.\nAnswer: c*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1748 - -5?\nAnswer: -1743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqtooqooojjtoojjto. What is prob of picking 2 t and 2 j?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnnonnonnnnlnno.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 3, 0.06, 3116?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) - (-19)\/4. Suppose -j - 3*b = -12, 5*b - 41 = -6*j + 2*j. Suppose j = -d*o - 1. Let t(h) = -6*h - 3. What is t(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = -12. Suppose 0 = -3*t + t + 12. Suppose -2*z = 4*o - 24 - u, -2*z = -2*o - t. Solve -z*i - 12 = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3277763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224303002402 + -11?\nAnswer: -224303002413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1951 is divided by 471.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*60\/(-30)*1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 11, 13, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 43?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 15\/(-75) - 1332\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/171)\/(((-6)\/9)\/(-1))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 206*y - 414. What is j(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -73 in ascending order.\nAnswer: -73, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1377) + -1)**2.\nAnswer: -90*sqrt(17) + 6890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -0.8. Let i = 4.97 + 0.03. What is the nearest to d in -3\/7, i, -0.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.726 - 0.044. Put 0, p, -4 in decreasing order.\nAnswer: 0, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72 + 23*a**3 - 72)*(230*a - 4 - 216*a + 4) to the form h*a**3 + s*a**2 + c*a + w + l*a**4 and give l.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 5. Let p(x) = 4*x - 6. Let f(w) = -4*p(w) - 5*t(w). Suppose -q = -3*q + 8. Calculate f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -165 + 2?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103531 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**2 + n**3 - 9*n**2 - 12*n + 9*n**2 - 10. Let w be c(-8). Solve -w = -4*i - 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 182, 201, 248, 335, 474?\n\"Answer: 2*a**3 + 2*a**2 - a + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a - 7. Let u(q) = q - 1. Let w(k) = -l(k) + 5*u(k). What is the units digit of w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 539738*w**2 - 31*w. Let j(y) = -14*y. Give j(h(t)).\nAnswer: -7556332*t**2 + 434*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, v: 3, f: 4, n: 3}. What is prob of picking 1 v and 2 n?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285*q**3 - 87646*q**2 + 130278168.\nAnswer: -855*q**2 - 175292*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -300286672*o**2 + 144250304.\nAnswer: -600573344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 + 7 - 440*j**2.\nAnswer: -440*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**3 + 6*c**2 - c**3 + 7*c**2 + 15*c**3 wrt c.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from clldlyydlyyllllll?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1826887 (base 10) to base 9\nAnswer: 3384014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2)\/(-3)*-6. What is the third derivative of -31*h**2 + 2*h**3 - 36*h**2 + 38*h**2 + y*h**4 wrt h?\nAnswer: 96*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 1)**2 + sqrt(13) - (-1*sqrt(104) + sqrt(104) + sqrt(104))\/sqrt(8) - ((sqrt(208) + 2*(sqrt(208) + -3))**2 + sqrt(208)).\nAnswer: -334 + 162*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6636294 divided by 42?\nAnswer: -158007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/5 (c) -7\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 13. Suppose 18 = 2*r + o*r. Suppose r*t - 14 = -2. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 3632?\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1*(49\/14 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -5. What is the greatest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140515354 (base 6) to base 2\nAnswer: 1010110101100010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 3\/4 (c) 2\/15 (d) -4\/9 (e) -0.15 (f) -96\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 212*x**3 - 2900*x**2 + 5000*x. Let o(a) = -a**4 + 635*a**3 - 8700*a**2 + 15000*a. Let z(q) = 11*g(q) - 4*o(q). Factor z(p).\nAnswer: 4*p*(p - 25)**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 - 3*t + 9. Let z be n(13). Suppose -4*l + 2*p - 3*p + z = 0, 4*p = 2*l - 572. Calculate the highest common factor of l and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 24 = -3*c + 26, 0 = -5*c - 2*t + 2. Let k = 0.04 + 0.56. What is the nearest to k in c, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2893.839\nAnswer: 2895.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -16*h**3 - 9*h**2 - 11. Let d(i) = 3*i**3 + 2*i**2 + 2. Determine -11*d(k) - 2*j(k).\nAnswer: -k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*q + 96 + 24. Suppose v + q*y - 2*y - 3 = 0, -2 = v - 4*y. Solve 0 = 4*o + 12, 2*d = -v*o + 4*o - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**6\/120 - n**5\/40 - n**4\/48 + n**3\/12 - 2*n - 6. Let l(k) be the first derivative of p(k). Factor l(w).\nAnswer: w*(w - 2)*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14220 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 896350 - -2?\nAnswer: 896352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2150, 2\/11, -5 in increasing order.\nAnswer: -5, 2\/11, 2150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide (199\/(-5) - -2)\/(2\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312330609 and 59544.\nAnswer: 7443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 881 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 46. Calculate the lowest common multiple of z and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/((-288)\/(-27)))\/((-5)\/(-4) + -1). Let h(b) be the first derivative of -2\/9*b - 12 + 1\/18*b**2 + 1\/27*b**k. Determine i, given that h(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 36 = 4*i + q, -3*i - q + 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g\/g**(-2\/25))\/g)\/g)\/g**1)\/(g**(-1\/2)\/(g*g*g**(-11\/4))) assuming g is positive.\nAnswer: g**(-117\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9*o**3 + o**2 - 195*o - 21. What is the thousands digit of x(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/101 and -6\/938593.\nAnswer: 938593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 1 p when three letters picked without replacement from ylpfffypl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23262*g**3*m**3 + g**3*m - 4*g**3 + 2*g**2*m - 394*g**2 - g*m - m**3 + 35*m**2 + 13*m wrt m?\nAnswer: 139572*g**3*m - 6*m + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74592 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**4\/24 - 2*j**2 - 30. Let d(x) = -106*x. Determine d(t(q)).\nAnswer: 106*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:17 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*l + 68686*o - 68682*o, 5*l - 10*o = 75 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36198174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 14 (c) 4 (d) -5\/3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**6\/10 + 33*w**5\/10 + 1119*w**4\/4 - 6820*w**3 - 576600*w**2 - 200*w + 3. Find d such that v(d) = 0.\nAnswer: -20, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 41054*u**2 + 20572*u**2 + 21928*u**2 + u.\nAnswer: 1446*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/5)\/((-1)\/5). Let x = -5 - a. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -651, -652, -653, -654?\n\"Answer: -d - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b + 20. Let v be m(-5). Let c be ((-234)\/(-15))\/((-22)\/v). Is c < 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 73. Suppose 3*p - 992 = -p + v*h, -3*p - 2*h = -719. Is p a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16496500 is divided by 13051?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 40 + 8 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2496*n + 596885 = 283*n - 1166*n - 2416*n for n.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z)**(-2\/79) assuming z is positive.\nAnswer: z**(12\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/17 in -2\/23, 0.1, -5, 4\/3, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 930157*f\/2.\nAnswer: -f*(f + 1860314)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7) - sqrt(112)*-5) - (sqrt(304)*-3 - sqrt(19) - sqrt(2736)*2))**2.\nAnswer: 11500396\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 20 - 8)*(-1582*d + 1582*d + 99*d**2) to y*d**2 + t + v*d and give y.\nAnswer: -1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 6:36 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -32 + c - 19 + c - c**2 + 58. Determine l(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 20 = -4*w, 0 = 5*h - 9*w + 11274 - 11254 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -29. What is the highest common factor of q and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9680 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65256853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217 by -198.\nAnswer: 217\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -20 (b) -1\/2 (c) 862142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 (base 11) in base 12?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2243228 divided by -358\nAnswer: 6266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.11, -1\/3, -2\/33?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*((-510)\/4)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 1\/(3\/51) + 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 2*u**5\/25 + 18*u**4\/5 + 572*u**3\/15 - 684*u**2\/5 + 722*u\/5 - 180. What is l in s(l) = 0?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 8*s - 2*s + 11525. List the prime factors of s.\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(360) + (sqrt(360) - sqrt(360)*-2) - sqrt(360))*2 + -3)**2.\nAnswer: -2*sqrt(11)\/3 + 740\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 5*m + 746 = 21*c + 1201 - 642, 10 = -2*c + 3*m for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6268, -10378, -14488, -18598?\nAnswer: -22708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/2 - 2575*s**3\/4 + 344331*s**2\/4 + 101197*s + 14472 = 0. What is s?\nAnswer: -536, -1, -1\/6, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -628 (base 10) in base 2?\nAnswer: -1001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011681 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (-123 - (-186 + 83)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 31, -6, 1, 11 in decreasing order.\nAnswer: 31, 11, 1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3005874194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276290.\nAnswer: 2, 5, 7, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzzvqgzvvgqzqvhz. Give prob of sequence qqhv.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + i + 6, 5*j - 18 = 3*j + 4*i. Let t be 3774\/(-42) + 2\/(-14). Let m be (-220)\/t - 16\/36. Solve m = -j*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 4, r: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 506083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 75295152.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1255*b**4 - 524*b**3 + 759966*b**2 + 3 wrt b?\nAnswer: 30120*b - 3144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75.5 - -18.5. Let g = s - 100.3. Let v = 6.8 + g. What is the second smallest value in -0.3, v, 4\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2108, -6536, -10964?\n\"Answer: -4428*q + 2320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76041 and 18?\nAnswer: 152082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - o. Let d be g(-1). Let i be (9 - 1)\/((-4)\/(-10)). Solve -b - d*b = i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 608*v. Let k(i) = -50*i**2 + i + 7. Give q(k(l)).\nAnswer: -30400*l**2 + 608*l + 4256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4*1)\/2)\/(963\/1926)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**4*g*g))**(1\/43)*g\/(g**2\/g)*g**(-3\/4) assuming g is positive.\nAnswer: g**(-157\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 2, -3, -10, -19?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(200) + -1)**2 - 2*sqrt(8))*1 + 1 + (((sqrt(242) + 1)*-1)**2 - sqrt(242))).\nAnswer: -78*sqrt(2) + 2670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 + 42 + 73 + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4\/5 + 8*o**3\/5 - 26*o**2\/5 - 8*o\/5 + 24\/5 = 0.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59132?\nAnswer: 2, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**4 - 2800*h**3 + 80852*h**2 - 497952*h = 0.\nAnswer: -728, 0, 9, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6380 is divided by 128.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 592843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2775924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 2*m + 30, 2*f - 33 = 5*m. Let l(h) = -3*h - 1 + 0 + 4 + h. Give l(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 17*c - 15*c - 30, -4*c - 2*z = -72 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 15 + 1. Let h = -12 - s. What is the smallest common multiple of 2 and h\/(-12)*(5 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/86616 and 71\/168.\nAnswer: 606312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 450*p**2 - 896*p - 41. Determine t(-448).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 378*d**2 - 176 with respect to d.\nAnswer: 756*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -28. Solve -n + 4*n + v = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, r: 3, o: 5, c: 1, v: 2}. Give prob of sequence vhc.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a76 - 33?\nAnswer: -aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12*i. Let t(k) = 253510*k**2 + 22. What is z(t(a))?\nAnswer: -3042120*a**2 - 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1700) + 2) + sqrt(1700) + ((sqrt(1700) - 4*sqrt(1700))*-6)**2 + sqrt(1700).\nAnswer: 10*sqrt(17) + 550798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 + 56*s - 6. Let t be r(9). Suppose t*c - 49 = -1. Let f = -1 + 5. Solve -z + 16 = -2*z + 4*l, -l = f*z - c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - r**2 + 51*r - 11*r**2 - 20*r in the form s*r**2 + p*r + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119 and 105?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86*b + 12*b - 10*b to j + x*b and give x.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*i - 4 + 9, i + 1 = -3*l. Let w be (14 + -15)*(-4 - l). Solve 0 = -w*c - 11 - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -0.03 (c) -0.1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from {i: 1, u: 2, s: 4, t: 1, b: 3, x: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (sqrt(80) - (sqrt(80) + -1*(sqrt(80) + -2)))*-3*-5 + 2).\nAnswer: -300*sqrt(5) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8390821 and 0.1?\nAnswer: 0.08390821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-227502)\/4213*(-2)\/(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, 2, -57 in ascending order.\nAnswer: -57, -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 9 = 2*o. Let v(q) = -3*q**2 - q**o + 3*q**2. Let c(a) = -a. What is v(c(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d - 28. Let l(a) = -a - 9. Let u(k) = 11*l(k) - 4*q(k). Let i be u(-7). Solve 2*p = 5*p + i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/375200 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3012989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -3\/4, 2\/11, -0.3, -80?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 127?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 47*x**4 + 23*x**2 + 5*x + 5. Let o(t) = -24*t**4 - 11*t**2 - 2*t - 2. Let q(l) = -5*o(l) - 2*s(l). Find the third derivative of q(z) wrt z.\nAnswer: 624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -52. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -35. What are the prime factors of ((-5)\/((-30)\/(-212)))\/(2\/y)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1323239489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 1:04 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 90088900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 3. Let f = 6 + w. What is the derivative of -f + 3*r**4 + 1 - r**4 wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12292 - -12292. Let m = -10\/21 + 79\/210. Sort -2, -5, o, m in descending order.\nAnswer: o, m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -8066?\nAnswer: -8064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2619 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -485*m + 485*m - 1 + m**2. Calculate d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 108*x - 131. Calculate the remainder when o(3) is divided by 52.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 + (-1)\/3. Let w = -12 - -14. Suppose 3*r + 14 = -w*g, -4*g + 2*r - 6*r - 20 = 0. Does g = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -4)\/(4 + -5). Let h = 9 + -8. Let r = 9 - 6. Put m, h, r in descending order.\nAnswer: r, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1061\/6 - -177. Which is the closest to -0.2? (a) 0 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + 3 + -13 + -4 + 8 + -11.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 3)*((-124*t - 97*t + 58*t)*(t - 4*t + t) - 2*t**2 + 6*t**2 - 3*t**2).\nAnswer: 327*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 18, -1\/3, -2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 - 11*w - 15. Let a = -1 + -5. Let g be f(a). What is the highest common divisor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3325136 - -36?\nAnswer: 3325205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 13, 21, 96, 3, 0 in decreasing order.\nAnswer: 96, 21, 13, 12, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w - w**2 - 53\/12*w**5 + 1 + 0*w**3 - 7\/8*w**4. What is the second derivative of g(m) wrt m?\nAnswer: -530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478*d + 483*d = 10. Let w(t) = t + 15. Let f be w(0). Suppose -f = 4*n - n, -d*c + 199 = 5*n. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 16 = 0, 2*h = 3*w - 26 + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 3 + 4)*(3762 + 40*k - 3762) in the form j*k + w and give j.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3*m**2 - m - 3. Let a be o(-3). Let w = 5 + a. Suppose 0 = 20*j - 5*j - 525. Calculate the greatest common factor of w and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -3*x, 5*m - 4 = 6*m. Let d be (-2 + 1 - 1)*-1. Factor 0 + x*w - 3\/2*w**d.\nAnswer: -3*w*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -0.15 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 118145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(7\/3)*j**6)\/(j\/(j\/(j\/(j**(2\/19)*j)*j*j*j))*(j\/(((j\/j**0)\/j)\/j*j)*j*j)\/j))\/((j**1)**48\/(j**(-1)\/((j\/j**(2\/3))\/j))) assuming j is positive.\nAnswer: j**(-853\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183 - 168 + 129 + 89*q.\nAnswer: 89*q + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/4)\/(-23*15\/(-690)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 86, 20413, 0 in descending order.\nAnswer: 20413, 86, 11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2103312132 + 103032?\nAnswer: -2103203100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4378199743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i + i + i**2 - 2 + i. Let z be (-8)\/(-3)*(-36)\/(-8). Let r be 30\/z*6\/5. What is c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8902357 years to centuries.\nAnswer: 0.008902357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -3\/5, -46\/7, 3, -8, 3\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**4\/4 - 2*x**3 + x**2\/2 - 2*x + 2. Let g = 735 - 728. Suppose 3*s - 15 = 0, 0 = -h - 4*s - g + 21. Determine m(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 753 or -91111?\nAnswer: -91111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20829681?\nAnswer: 3, 19, 41, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.8774 milligrams in grams?\nAnswer: 0.5648774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -13) + -3 + -1 + -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14034991*u**3 + 472*u**2 + 18 wrt u.\nAnswer: 84209946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3643635, -7287261, -10930887, -14574513, -18218139?\n\"Answer: -3643626*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2\/15553 (c) 7.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 270*f + 11452. What is y(-34)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1\/((-1)\/(-10)*10\/1585)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 329 and -1361422.\nAnswer: -1361093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from cvcccvccjmjcc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + ((-2403)\/162 - 13)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31263 - -29808.7. What is f rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (36 + (-35 - 50))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -304405 - -201213?\nAnswer: -103152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000139395 rounded to 7 decimal places?\nAnswer: 0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 divided by -121?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**2\/2 + 4*y - 3. Suppose -5*u - 30 = 2*p + 3*p, 2*p + 6 = 0. Determine h(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b. Let w(h) = -814*h + 55. Let f(j) = 89*j - 6. Let y(p) = -55*f(p) - 6*w(p). Determine 3*t(k) + 2*y(k).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 2*y**2 - 2*y - y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19161 to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -204*t + 24. Let v be m(4). Let n be (-21)\/2*v\/14. Suppose h = 2*r - 3*h - n, 3*r = -4*h + 931. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -105, -260, -489, -798, -1193?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 14 = -6191*t + 6190*t - 1, l - 5*t - 2 = -11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:25 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r + 5. Let z(t) = 2*t + 4. Let s = 0 + 3. Suppose -9 = -s*a + 3. Determine a*z(o) - 3*m(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -260, 3, 5, 1, -37 in decreasing order.\nAnswer: 5, 3, 1, -37, -39, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 4. Suppose 0 = -13*b + b - 1656. Let r = -125 - b. Determine x(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 10)*(5 - (-91)\/(-104)*8).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*m - 9\/4 - 1\/4*m**2.\nAnswer: -(m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 19*y + 1. Let w be k(-3). Suppose -2*p = -t - 4, 3*t + 1 = -t + 3*p. Let j(r) = -r**t + 3*r + 1 - 4 + 1. Determine j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -69, 1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1712\/9 + 190. Let p = 7484954\/111 - 67432. Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + (sqrt(704)*-2 - sqrt(44)))\/((1*sqrt(48))\/sqrt(12)) - (-1 + sqrt(396)*2 + -5).\nAnswer: -20*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(5*a - 2*a - 2*a) + 2*a - 3*a + 0*a - 2*a + a + 0*a + 4 + 6*a + 0*a - 4*a)*(-3*a + 4 + 5 - 6).\nAnswer: 3*a**2 - 15*a + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 13. Let a be g(8). Suppose -1 = -5*r - 6, -v - 2 = 2*r. Sort v, a, -4.\nAnswer: a, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 - 5*l**2 - 7*l + 55. Is 8 a factor of z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41820*f*p**2 + 139*f*p - 17*f + p wrt p?\nAnswer: -83640*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-2 + (27 - 0)). Suppose -2*k - 3*k = -o. Suppose -k = 2*u + 3, 4*c + 2*u = 12. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w - 40. Let s be o(7). Let y(u) = -7 - s + 4*u + 0 + 3. Give y(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2136*w - 6 - 1 = -2134*w + 1, 0 = 3*n - 2*w - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i**2 - 2*i - 17. Let t(d) = -59*d**2 - 11*d - 86. Let h(o) = -22*a(o) + 4*t(o). What is the derivative of h(l) wrt l?\nAnswer: 56*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 252 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 3*y, -y = -2*x + 12. Let d(u) = u**3 - 5*u**2 - 2*u - 2. Calculate the remainder when d(6) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + -2 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1186, 1, 5 in ascending order.\nAnswer: -1, 1, 5, 1186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2830.\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1990835, -1990869, -1990903, -1990937?\n\"Answer: -34*p - 1990801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z + 3 = 0. Let y = -7 - -7.1. Let m = 4.8 - 5. Which is the nearest to 0.1? (a) m (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) - (sqrt(2448) - (-3 + sqrt(2448) + -2)) - (sqrt(187)\/(sqrt(11) + (sqrt(11) - sqrt(1584)*-1)))**2.\nAnswer: -997\/196 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**3\/6 + 3*d**2\/2 + d. Let h be (((-15745)\/402 - -39) + 6\/(-4))*(-12)\/(-5). Let y(j) = 2*j + 4. What is h*r(s) + 3*y(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246.0071 + -0.0071. Let r = d - 240.5. Which is bigger: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10628 divide 461063896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m**2 + m - m**2 + 3*m)*(-794*m - 207183 + 207183) to n*m**2 + b*m**3 + c + v*m and give n.\nAnswer: -3176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/3 - y**2 - 102. Give x(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r + 5. What is k(5)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/115*-1*(-15)\/63.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5 = -5*o, -3*o - 16 = -14*a + 19*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -169*s + 10422. What is x(72)?\nAnswer: -1746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 + 242*r**3 + 2034*r**2 + 3870*r.\nAnswer: -2*r*(r - 129)*(r + 3)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -277993 by 1.\nAnswer: -277993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/160)\/(242\/(-8))*1?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00316992307 rounded to 6 decimal places?\nAnswer: -0.00317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.48225 times 4\nAnswer: -1.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*f + 2*l, f + 4*f = l - 42. Let q be (-4)\/f*(-2)\/4. Let z be (-4)\/(-6) + (-1)\/1. Put q, z, -0.5 in increasing order.\nAnswer: -0.5, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12386634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -3*1*sqrt(99))\/((-3*sqrt(81))\/sqrt(9) + sqrt(9)) - (-4*(2*sqrt(176))**2 + sqrt(176) + 3 + 3).\nAnswer: -3*sqrt(11) + 2810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/6 + (-1)\/(-2). Let p be (w\/(-6))\/((-3)\/1320). What is the remainder when 29 is divided by p\/(-14) - (-4)\/14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -1108, -3783, -8994, -17587?\nAnswer: -30408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.329 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 967567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6498 is divided by 2933?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1500\/(-1440) + (-1)\/(3\/(-2)). Suppose -z = j - 0*j + 3, 0 = -2*j + 5*z + 29. Let i = j + 0. Which is the third smallest value? (a) o (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 38. Let p be (-3)\/12 - 82*i\/32. Suppose p*s - 748 = -s. What is the least common multiple of 1 and s?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228207 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssufeyzf. What is prob of sequence ef?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 188603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 235 + 9)*(q - 4*q + q).\nAnswer: -476*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 9 + 24*i**3 - 10*i - 17*i**3 + i. Suppose 387 = 45*m - 2*m. Let x(t) = -2*t - 4*t + 2*t + 4 + 3*t**3. Calculate m*x(y) - 4*f(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51816271.\nAnswer: 13, 3985867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + -4 + (2*sqrt(1300))**2 + sqrt(1300))*1.\nAnswer: 10*sqrt(13) + 5195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**2 - 2*f - 1. Determine s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -25, 2*u + p - 11 = -u. Suppose -4*x + y - 6*y - 10 = 0, -x - u = y. Let v = 3 + x. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 325*m**2 + 126*m**2 - 594*m**2. Let o(t) = 0 + 113*t + 0 - 114*t. Give k(o(s)).\nAnswer: -143*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 401401627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/16 and 15\/218.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 79, 83, 89, 97, 107?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/2*(-126)\/(-126)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4927 and 73879.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072764 to 6 decimal places.\nAnswer: 0.000728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -10, 4*p - 6*t = -t - 22 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 6*v + 2. Let x be a(-2). Find the common denominator of 51\/29 and x\/9 - (-3)\/(-216)*489.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppb when four letters picked without replacement from {b: 2, p: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*y - 28862, 6*b - 3*y = 44508 - 1200. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3497557 is divided by 309?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37358 or 37398?\nAnswer: 37398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**3 + 15*l**2 + 5*l - 15 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2289, 2077, 1517, 435, -1343, -3991?\nAnswer: -7683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 20 + 2*y + 1\/2*y**2 + 2\/3*y**3. Let i(h) = -h - 1. Let k be 1\/((-1*2)\/2). Calculate k*t(n) - 3*i(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3553146078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 7*u - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6241*s + 11 = -6236*s + 5*u + 26, -2*s - 4*u = 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**3 - 6*a**2 + 8*a - 6. Suppose -5*r + 24 = -2*n, 3*n - 8 = 1. Let v(s) = 9*s**3 - 11*s**2 + 15*s - 11. What is r*v(l) - 11*h(l)?\nAnswer: -l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53, -114, -195, -290, -393?\n\"Answer: m**3 - 16*m**2 - 20*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 7.7031?\nAnswer: -46.2186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 113*r**2. Let k(v) = 9196*v. Calculate z(k(u)).\nAnswer: 9556005008*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-15)\/6*(1275\/(-250))\/51\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0.2 in decreasing order.\nAnswer: 2, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 5*t**2 - 6*t + 2. Let s(j) = j + 1. Let r(u) = a(u) + s(u). Suppose -x + 5*x + 24 = 0. Calculate r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 11\/376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -801 + 800.8. Let t = 2 - 1.5. Which is the nearest to 1? (a) 8 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from tqevqe.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97.7 - 99. What is the closest to -1 in -0.1, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 7071680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 36. Let h = -24 - u. Suppose 3554 = 2*n - 2*y, -5*n + y - 5182 + 14083 = h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5409*m**2 + m**3 + 1748*m**2 + 2155*m**2 + 1939*m**2.\nAnswer: m**3 + 433*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**3 - 149*r + 149*r.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1613 = -5*x, -102 = -4*x + 4*b + 1198. What is x rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 10445, 19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*q - 3*o + 15, 4*o = 2*q - 4. Find the second derivative of -11*h - q*h**5 - 20*h**5 + 10*h**5 wrt h.\nAnswer: -320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13636, 27278, 40920, 54562, 68204?\n\"Answer: 13642*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 0*z**3 - 2*z**3)*(665*z + 663*z + 668*z + 668*z - 613 - 2660*z).\nAnswer: -8*z**4 + 1226*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 7:17 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44\/7 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - -172) + 1 - (-325 + 332)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98\/643733 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5693 - -9685. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6669 divided by -4199\nAnswer: 27\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/49)\/(799\/119 - 7). Let f be 4 - 1 - (-1)\/1. Let s be f\/3 - 1 - 0. Which is the nearest to s? (a) l (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 395390*f - 7816662605.\nAnswer: -5*(f + 39539)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - r + 5*r - 5*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-24))\/((-8)\/(-8680)*25*14\/12)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-18)*(8\/2 + -1). Suppose -9*q + 108 = -r*q + 3*h, -12 = 3*h. What is the greatest common factor of q and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4949, 39409, 132917, 314999, 615181?\nAnswer: 1062989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v\/(v**(6\/13)*v))*v)\/v)\/v)\/v**25)\/(v**(-1\/24)\/(v**4*v)) assuming v is positive.\nAnswer: v**(-6395\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/9*(-3)\/2. Let p = -2482\/7 - -354. Let r = 544 - 541. Which is the second biggest value? (a) p (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 3*l - 58. Let f = -161 + l. Which is greater: -2\/227 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 33) + (-2 - -8) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 101*d**2 - 9*d + 114*d**2 + 82*d**2 + 9. Let a be c(1). Are 296 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/2091 and -83\/984.\nAnswer: 16728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**5\/3 + 16*i**4\/3 + 122*i**3\/3 + 80*i**2\/3 - 7*i = 0. Calculate i.\nAnswer: -3, -1, 0, 1\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/25 of a microgram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)*-2 + 2*sqrt(110)*2)\/((-2*sqrt(60))\/sqrt(6)*1).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 9*v**2 - 7*v - 11. Let m be f(11). Suppose 656 = 5*z - m. Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -2\/57, 3, 4\/39, -2\/17?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5454*n**5 + 2413*n**4 + 12428179*n**2 - 2?\nAnswer: 327240*n**2 + 57912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 281, 422, 563, 704?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 11*n + 15. Let r be u(-10). Let d = -637 + 640. Sort 1, r, d in increasing order.\nAnswer: 1, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**5\/10 - 1011*q**2 - 134. Let g(n) = 0*n + 2*n**2 + 0*n. Determine x(g(k)).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1441 (c) 1\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-116)\/203*-14 + 11292\/(-1414). Is 0 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 15*o + 7. Let u be r(-4). Calculate the common denominator of 74\/33 and u*488\/396 - (-2 - -4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.59 (b) 2 (c) 0.37 (d) -89 (e) 2\/9 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1) + (-462)\/(-42) + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23300 is divided by 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49831997?\nAnswer: 1861, 26777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -225146 = -225116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/5)*z)**7*(z*z\/z**9)\/(z*z**14) assuming z is positive.\nAnswer: z**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 225161551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 2*p - 2 = -14*j, -j - 4*p - 4 = 0. Sort 4, j, 7, 5 in increasing order.\nAnswer: j, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.248299 years in millennia?\nAnswer: 0.003248299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3286 or 16920?\nAnswer: 16920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69094650 - -1?\nAnswer: 69094651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4863.8 + 5322. Let j = 414 - x. Let w = -49 - j. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72550000 rounded to the nearest 1000000?\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-20))\/((-9)\/(-2))*(-6)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 98*m + 7*m**2 - 54*m - 51*m + 10. Let t be y(12). Let r = t - 477. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**2 - 200*t - 1056 = 0.\nAnswer: -44, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (1 + sqrt(1100))*-2.\nAnswer: -20*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 4782762*h + 1906234362387.\nAnswer: 3*(h - 797127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h - 6 = 0. Suppose -9 + h = -2*i. Let z = -3 - -6. Is z > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 45. Let n = -185.6604 - -168.66042. Let h = z + n. Round h to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/221021 or 1?\nAnswer: -7\/221021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.035, 0.03, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388 - 39*q + 3*q + 5*q**2 - 388 + 22*q.\nAnswer: 5*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l**2 - l. Let q be k(-1). Let u(t) = t - 2 - 3 + 0 + q. Suppose 3*m + 3 - 12 = 0. Determine u(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9)*(((t**(1\/3)\/t)\/t)\/t)\/t)\/(t**(2\/3))**(-18\/5))\/((t**(-2\/3))**0*(t\/(t**(-1)*t)*t)**34) assuming t is positive.\nAnswer: t**(-3127\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 - 2*u + 7. Suppose -2587 = -26*n + 2431. Let d = n - 187. Give l(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20201107 at most as big as -20201099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15075920200 rounded to the nearest one million?\nAnswer: -15076000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 8 + -16 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*j - 28*j - 9*j)*(-3*j + 0*j + 0*j) + 10*j**2 - 8*j**2 - 4 + 2 as s*j**2 + o*j + r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 26 - -56) + (28 + -1 - 2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 7. Let j(y) = -4*y**2 - y + 13. Let v(r) = 4*j(r) + 7*s(r). Let l be v(-3). Is l - -12 - -4 - (0 + 1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/133493?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3\/9 + 41636*l**2\/9 + 2630882*l\/9 + 2589244\/9 = 0.\nAnswer: -62, -1, 20881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 46*f - 4831. Calculate g(103).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 429239 - 195419. What is j rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.11 + 0.11. Let k = 5.03 + q. Let s = -0.03 + k. Which is the nearest to s? (a) 0 (b) 1\/3 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 - 370*f**3 + 66*f**3.\nAnswer: -304*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 127*s**2 - 211*s + 4920. What is c(-125)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 244 = s, 4*s + 284 = -2*q + 1330. Suppose 0 = 46*n - 47*n + s. Is 44 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 4. Let q be l(0). Suppose 2 = -2*m, 0*r - 80 = -3*r - q*m. What is the remainder when r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 10) + (-6 - 28 - (-70 + 46))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319320 divided by 2661.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27065706?\nAnswer: 2, 3, 593, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/7)\/i**(-2)*(i**(-5\/2)*i)\/(i*i**(-4\/9)\/i)*(i**(-5)*i**5)\/(i**(-4)\/((i\/(i**(-7)*i*i))\/i)) assuming i is positive.\nAnswer: i**(1289\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 898 - 442. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4100280103?\nAnswer: 11587, 353869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 + 5*k**2 + 5*k**3 + 2*k - 4*k**2 to q + a*k**3 + u*k + s*k**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 5, -5, -33, -2 in ascending order.\nAnswer: -33, -23, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tv when two letters picked without replacement from tvnsz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*y - 774, -k = -7*y + 11*y - 146. What is the greatest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 6:40 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 n, and 1 s when three letters picked without replacement from nxmtxsmtstsoton.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1094 and -77\/10?\nAnswer: 5470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -260*k - 4. Let a(y) = -1302*y - 19. Give 2*a(t) - 11*c(t).\nAnswer: 256*t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 123675006382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/5 - (-4)\/(-3 + 2). Suppose g = -4*o + 320 - 228. Calculate the remainder when 136 is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7735*w - 451 = -7732*w + 31*l - 11*l - 324, -3*w = -l + 22 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45156 - -1354529\/30. Which is smaller: d or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z + 5. Let y(m) = -5*m + 4. Let r(x) = -4*c(x) + 5*y(x). Let a be r(-6). Suppose 20 = q + a. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9811024 greater than 9811017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 3:42 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -114 and -2965?\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 1167*b**2 + 6985*b - 4. What is h(-6)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138673 and 455813?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 492 and 1640?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13 - 16)*(1 - 8 + 1)*(2*k**4 - 1 + 1).\nAnswer: 348*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 4*w. Let f(v) = 3*v**2 + 11*v. Let r(l) = -4*f(l) - 11*k(l). Suppose -u + 21 = -4*y, 5*u + 2*y - 4*y = 33. Suppose c = u*c. What is r(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 3216?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/9 + 471464*y**3\/9 + 1728620*y**2\/3 - 471464*y\/9 - 5185862\/9 = 0. Calculate y.\nAnswer: -235721, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Suppose 2*h - 68 = s*h. Let k = h - -106. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 1781\/3113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*f - 42, -2*k + 4*f = -0*f - 52. Suppose 4*v - v + k = 0. What is the units digit of v\/(-4)*(-2)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*v - 15 = 0, 2*v + 13 + 23 = -5*o. Let i be (-3)\/36 + (-2)\/o. Which is the nearest to -2\/3? (a) 1\/3 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 0*v - 10 + 2*v - 6*v. Let j(a) = -a**2 - 552*a - 33695. Calculate the smallest common multiple of k(-7) and j(-70).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/3*(-48)\/616?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 736703, 736657, 736571, 736439, 736255, 736013, 735707, 735331?\n\"Answer: -v**3 - 14*v**2 + 3*v + 736715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1440527 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 282\/7, 3\/4, -3\/2, -2 in increasing order.\nAnswer: -2, -3\/2, -2\/7, 3\/4, 282\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 8:49 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101180 divided by 5.\nAnswer: 20236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 12*b**2 - 2*b + 16. Let a be s(12). Let n be (-2)\/(-12)*(-64)\/a. Find c, given that 1\/3*c**2 + n + 4\/3*c = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 + 28*w**2 - 31*w - 8. Let z be c(8). Suppose -3*b = -16*u + 15*u - 24003, 3*u + 9 = z. Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -347957926*p**2 + 40641*p + 794 wrt p.\nAnswer: -695915852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 + 13 = 0. Suppose s*v - 205 - 179 = 0. Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1269 and -1270 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -252, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 151*v**2 + 296*v - 269. What is r(-149)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3263700 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkbb when four letters picked without replacement from {k: 9, b: 7}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 105098?\nAnswer: -105093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 372169*g**3*r + 3*g**3 + 458*g**2 + 2*g + 11 wrt r.\nAnswer: 372169*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 + 102*u**2 + 1208*u\/3.\nAnswer: u*(u + 4)*(u + 302)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -884.1448*0.2.\nAnswer: -176.82896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2625, -3049, -3473?\nAnswer: -3897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.358152 to 3 dps.\nAnswer: 0.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397371645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y - 1615*y**2 + 3231*y**2 - 1607*y**2 in the form b + t*y + j*y**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(12\/(-2)))\/(90\/45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-3)**2 + sqrt(3) + sqrt(3) + -1 + 1.\nAnswer: 2*sqrt(3) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2571*v - 1069535. Calculate y(-416).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1363230, -1363236, -1363242, -1363248?\n\"Answer: -6*g - 1363224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -129604 divided by -5\nAnswer: 129604\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60944206318539\/13622374550 + -2440840\/1671457. Let n = -1596\/4075 - s. Let l = n + -4463. What is the common denominator of l and 99\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221301001 (base 4) to base 16.\nAnswer: -29c41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -55. Let u(i) = -28*i + n*i + 9*i + 9 + 10*i. Give u(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 1 - 9) + 76. Let g = 71 - f. Which is greater: g or -2\/349?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 1, 0.0359, 0.77, -1\/2?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - (3 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -21\/2, 0.2, -1\/2, 9.9, -26, -0.1?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 1.56.\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -228*o**4 + 2187*o**2 + 623*o**5 + 1687*o**2 - 624*o**5 - 708*o**2 wrt o?\nAnswer: -60*o**2 - 5472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -628*w + 629*w - 26, 5*q = w - 14. Suppose 0*z = -5*z + 15. What is the remainder when w is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 27 (b) -0.3 (c) 1415 (d) -1\/5 (e) 6\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27622 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 154097\nAnswer: -5\/154097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 83*h + 43. Is 56 a factor of o(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/10, -0.8, 0.2, 0.5 in descending order.\nAnswer: 0.5, 0.2, 1\/10, -0.8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3 + 6732*f**2 + 3*f + 1488361 wrt f?\nAnswer: 3*f**2 + 13464*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 9. Suppose 36 = -4*x - 2*s, -3*s = 5*x - 4*s + 31. What is t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:36 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-10) - (-1 - 0)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3108 = -4*m + 3124. Suppose -4*b - 3*y + 69 = -69, 58 = 2*b - m*y. What is the least common multiple of (-3 - 0)\/(1\/(-2)) and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 10*b + 6. Suppose 3*x = k + 3 - 0, b*k = 3*x - 3. Is 26 a factor of 131\/5 + x\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -303, -264, -187, -48, 177, 512, 981, 1608?\n\"Answer: 4*u**3 - 5*u**2 + 26*u - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 17 - 8 + l**2 + l + 0*l. Let f(v) = 2*v - 4. Let c be f(2). Let s be x(c). Calculate the greatest common factor of s and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 258 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -683 + 7394. What are the prime factors of z?\nAnswer: 3, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1 + 3, 0 = -l - 2*b + 95. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 6*t + 3. Let p be j(-6). Suppose -p*f - z = 4, -4*f + 8*f - z = -17. Does 13 divide 17\/1 - f\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 4*q - 4. Let s(a) = -5*a - 5. Let r(x) = 5*l(x) - 4*s(x). Let o(z) = 36105*z - 58*z**2 + 3 - 36105*z - 3. Give o(r(t)).\nAnswer: -1450*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -21 - 12) + -122 + 167.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + 8. Let w = k + -24. Suppose 4*f - 51 - 13 = -j, -3*f = -w*j - 48. What is the smallest common multiple of f and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*k + 4*k - 121, 0 = 5*s - 5. What is the greatest common factor of 72 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3 (c) -0.9 (d) 4 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = -5*l - 6, 5*l + 10 = 4*c. Let v be 8 + -3 - 0\/(-1). Suppose c = v*p - p. Solve 3 + p = -3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.1022*4.03.\nAnswer: -24.591866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -6. Is 3 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*(74\/10 + -8). Suppose 152 = 5*g - v*i, 35 = 2*g + i - 17. Solve b - f = 0, 4*b + 7*f - 4*f = g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, s: 1, y: 2, t: 2}. What is prob of picking 1 o and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.779, 0.4, -4, -3 in ascending order.\nAnswer: -4, -3, -1\/2, 0.4, 0.779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 28*q - 15*q + 6*q. Let n(l) = -7140*l**2 - 2 + 7150*l**2 + 2. Give y(n(w)).\nAnswer: 190*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 2*r + 34, -2*t + 30 = 4*r + 56 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 72496.62 meters?\nAnswer: 72496620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h + h**5 - h**5 - h**5 + 4*h**5 + 4*h**5 + h**3 - h**3 + (-3 - 2*h**3 + 3)*(4*h**2 - 5*h**2 + 3*h**2) + 3*h**5 + h**5 - 2*h**5.\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - 1222002?\nAnswer: -1222032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 9:10 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/8)\/(45\/120). Let w = 23 + -19. Which is the nearest to h? (a) 1\/3 (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1592 - 737. Let j = -854.9999591 + z. What is j rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9271815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 - 57. Let p = -15 + b. Calculate the remainder when 40 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s - 21. Let u = -88 + 83. Suppose 2*g - 53 - 71 = 0. Calculate the remainder when g is divided by n(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 5*i - 1, 0 = 3*x - 4*i - 1 - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8378 and -0.053.\nAnswer: -8378.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -121296263 take away -2.62?\nAnswer: -121296260.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Express -13*f + 8*f + 4*f - 13 in the form r*f + p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 12.8. Let u = c + -1.3. Let g = -0.5 - u. What is the third biggest value in -2, g, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = 0, -4*z + 172*y = 175*y - 2. Let u(n) be the first derivative of 19\/2*n**z + 0*n + 4 + 12*n**3. What is the second derivative of u(r) wrt r?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24287268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 1, o: 1, d: 1, y: 1}. Give prob of sequence dr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 692577.4ns in microseconds?\nAnswer: 692.5774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 + 2*q**3 + q**3)*(2*q - 3*q - q) - q**4 - 26*q**4 + 5*q**4.\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4131000 and 24140?\nAnswer: 293301000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5125 and 2993?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -1487249637?\nAnswer: 1487249636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1082bb (base 16) to base 6\nAnswer: 35105243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 4. Let f(x) = -592*x + 12440. Let q be f(21). Solve -2*b + q = c*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/((-3)\/6). Find d, given that -5*d**i - 7*d**3 - 3*d**2 + 9*d**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 32572?\nAnswer: 32572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/60 - o**4\/24 + 403*o**3\/6 - 16*o**2. Is u(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*1 + sqrt(152) + 1*sqrt(152)*-4)\/(sqrt(800)*-2*2).\nAnswer: sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/3 + 118*x**3 - 44171*x**2\/3 - 4454500*x + 1425062500\/3 = 0. Calculate x.\nAnswer: -302, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 - 11799*f**3 - 15480270*f**2 - 6790607700*f - 20232819000.\nAnswer: -3*(f + 3)*(f + 1310)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2692*j - 2236*j + 19608 = 0 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2290 + -2.304.\nAnswer: -2292.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) -114 (d) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**5\/5 + 7*t**4\/12 - 17*t**2. Find the second derivative of n(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 250 in 1\/20, -22.1, -1?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1198.865 times 0.1\nAnswer: -119.8865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -849, -1707, -2565, -3423?\n\"Answer: -858*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105654889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2701676?\nAnswer: 2, 675419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -132323?\nAnswer: 132303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from xzoqe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuukuuuuuuuuuuu. Give prob of picking 3 u.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**7\/21 + z**6\/15 - z**5\/5 + 120*z. Factor a(i).\nAnswer: 2*i**3*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let n(w) = -34*w + 80. Determine h(n(t)).\nAnswer: -1156*t**2 + 5440*t - 6400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*t + 1104 = 61*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + 3*o**2 - 3*o**2)*(2*o**2 - 3*o**2 + 3*o**2) - 19 + 14*o**4 + 19 - 2*o**4 - 1 + 1 to w*o**3 + s*o + a*o**2 + d + c*o**4 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 46 - 59 = 0. Factor 19 + p**3 + 29 - i*p**2 + 24*p + p**3 + p**3.\nAnswer: 3*(p - 4)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41175 + 5?\nAnswer: -41170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 - 3*u + 3. Let y(p) = -5*p**2 + 2*p - 2. Let s(b) = b**3 + 18*b**2 - 89*b - 17. Let m be s(-22). Determine m*y(l) + 3*v(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m**3 - 1\/36*m**4 + 1\/45*m**5 + 0 - 1\/180*m**6 + 0*m - m**2. Determine d so that x(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 2. Let y be d(-5). Let s be (-12)\/10 + 4620\/350. Solve 5*p + y = -s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqsqqs. What is prob of sequence qs?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 226\/3 - (-7)\/(-21). Let h = 838 + -764. Which is smaller: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -5\/11602966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -75, -151, -227, -303, -379, -455?\n\"Answer: -76*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) + (sqrt(3564) - (-2*sqrt(3564) + sqrt(3564) + sqrt(3564))))\/(sqrt(4) - sqrt(40)\/sqrt(360)).\nAnswer: 108*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 10 + 25 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1427\/2485 + 1\/355. What is the third biggest value in -5, c, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 25*c**2 + 105*c - 2. Calculate j(-6).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 3 (b) 5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159333620 by -9155.\nAnswer: -17404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 2699, -23\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(60\/60)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 + 795 = -103*l - 1156 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5353*p + 3 = 5356*p, -4*p = -y + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*t - 10*t - 4 + 3.\nAnswer: -101*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2. Let z be 0*(-6 - 4\/48*-69). Let i(f) be the second derivative of -8*f + 0*f**2 + z - 1\/3*f**3. What is l(i(y))?\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3248*v**3 - v**2 - 13*v + 12. Calculate r(1).\nAnswer: -3250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 732*i - 8121. What is n(11)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/33 - 74\/(-44)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*n + 238 - 238 + 1832*n - 226*n.\nAnswer: 1443*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.24387092 to 3 decimal places.\nAnswer: -14.244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2693769 to three dps.\nAnswer: 0.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -13. Suppose -2*p = -g + v, 3*p = 3*g - 2*p - 26. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -39 + 1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.2. Let c = -0.2 + j. Let f be (1*4\/12)\/((-2)\/(-24)). What is the closest to 1 in f, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 212602489 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-5)\/(-45) - 4)\/((-62)\/(-279))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 17*k - 163. What is x(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -45*n**4 + 1180*n**3 + 3835*n**2 - 6130*n + 1160 = 0?\nAnswer: -4, 2\/9, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Let t = 5 + o. Calculate the greatest common divisor of t and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/(230\/(-1656))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.146163m?\nAnswer: 2146163000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 + 224*v = 0 for v.\nAnswer: 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*m - 11, -2*m + 6*m = -4*b - 4. Let t(x) = 2*x + 3. Let g(q) = 15*q + 11. Let d(a) = 2*a + 1. Let o(u) = 6*d(u) - g(u). What is m*o(y) - 8*t(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 196 = -4*g, 0*g = -y - 3*g + 48. Calculate the least common multiple of 22 and y.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24700 + 444491\/18. What is the common denominator of r and (5983\/(-372) + 21)*(-4)\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.480855 micrometers?\nAnswer: 0.003480855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 + (-5 - -4) + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270416 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -i - 5, 3*m - 4*i = 5 - 3. Suppose 0 = m*b - b - 24. Let u = -15 + b. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4) - (-34 - -55)\/(-21). What is the closest to 0.044 in -0.7, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203 by 4063.\nAnswer: -203\/4063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80580249 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -68 in decreasing order.\nAnswer: 1, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + -4 - (-13 + 22 + 2 + -18)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t + 41 - 51*t - 21*t + 96*t**2 + 35.\nAnswer: 96*t**2 - 85*t + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 13*o**3\/3 + 5*o - 1. Let z(f) = -9*f**2 - 3. Let l = -209 - -309. Suppose -16*v + l = 4*v. Give v*j(t) + 7*z(t).\nAnswer: 2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 9:26 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 8:42 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 13. Suppose -z*i = -2*i + 8. Put 5, 1, i in decreasing order.\nAnswer: 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -6. Let s = -74 + 77. Put -0.5, s, i, -2 in decreasing order.\nAnswer: s, -0.5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**7\/210 + l**6\/30 + l**5\/15 + 6*l**2. Solve f(n) = 0 for n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -1. Let p be (1\/4)\/(3\/(-4)). Which is the nearest to p? (a) s (b) 1\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/3 - 0. Let l = 8 + -4. Which is the closest to d? (a) 2 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -170 - -169. Which is the smallest value? (a) o (b) 3 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + 6*(sqrt(204) + (sqrt(204)*2 - sqrt(204))) - -4*1*sqrt(204))\/(-4*(sqrt(192) - (sqrt(192)*1 + sqrt(192)))*-3).\nAnswer: -17*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-3 + 5)) + -4 + -36 + 52.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.516 + 0.016. Sort 3, -3, q, 4 in increasing order.\nAnswer: -3, q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 9*v - 10. Calculate r(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnlupplppurlddn. Give prob of sequence nnl.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5121 is divided by 373?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3360161 is divided by 840028.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -5 (c) 1\/4 (d) -0.11 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -7*s - 54*s + 736. Solve -4*m - 50 + s = -p, -45 = 5*m - 5*p for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -30. Let z(b) = -b**3 + 10*b**2 + 11*b + 4. Let d be z(k). Suppose m + i = d, 0*i + 16 = 4*m + i. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + 374476244?\nAnswer: 374476225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8405078\/2018495 + 16\/23747. Is x less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.872 microseconds in seconds?\nAnswer: 0.000359872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2658*u + 257423 = -1300*u + 43691 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 2*s + 4*r - 16, -5*s - 20 = -5*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3023 + -3007. Solve -q*z = 13*z + 116 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1057 = -4*b. List the prime factors of b.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 117? (a) 5 (b) 35 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -2*x + 2, -2*x + 68*n = 66*n - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2884*h + 1533*h + 1650*h + 1798*h.\nAnswer: 7865*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00662806 rounded to 5 dps?\nAnswer: -0.00663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 1 + 10. Suppose -i + 1 = 4*t - 16, 3 = p*t + 4*i. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*z - 161, -2*o + 0*o - 2*z + 176 = 0. Suppose v - o = -5*m + 2*v, 5*v + 25 = 0. Calculate the least common multiple of m and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y + 41*y + 208*y - 150*y + 7546 = 0 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.649411*-22\nAnswer: -58.287042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96906 and 372?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 5. Let g = 9181 + -9180.5. What is the third biggest value in -2, g, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55612709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -30*l**2 + 6771*l + 2357. Give j(226).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.47 * -0.2\nAnswer: 0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 11*x + 3. Let m(f) = f**3 + 6*f**2 + 7*f - 1. Let h be m(-5). Is y(h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p - 50 = -5*q, -2*p + 5 = -q. Suppose 11 = -4*h - 5*r, -4*h + 12 = -q*r - 7. Let u be (69\/(-66) + 1)*2. Which is greater: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117)*4 - sqrt(117)))\/((sqrt(108) + ((sqrt(108) - sqrt(108)*1) + sqrt(108) + sqrt(108) - sqrt(108)))\/sqrt(12)).\nAnswer: -15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052871129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48 or -2822?\nAnswer: -2822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -0.1, -2\/27, 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1. Let f = -6 - -4. Let w(z) = -4*z + 2*z + z + 6. Let p(x) = 2*x - 11. Let j(q) = -3*p(q) - 5*w(q). Give f*j(n) - 6*t(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17987539, -17987536, -17987533, -17987530, -17987527?\n\"Answer: 3*f - 17987542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v - 19 - 4*v - 10*v. Let w be z(-18). Does 22 divide ((-4 - -1) + w)*-11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 * -0.6049\nAnswer: 0.199617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u + 5. Let z be (-8)\/36 + (-34)\/9. Let b(n) = -n. Let l(t) = z*b(t) + p(t). Find the first derivative of l(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -4, 0, 4, -42, -1\/5, -0.152?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 36. Suppose 4*x - 2*v - 20 = 8, o*x - 3*v = 14. Let w = 16 + -9. What is the highest common divisor of x and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 4*q - 1. Suppose -2*u - 7 = -19. List the prime factors of i(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.402 - 3.598. What is the closest to t in 0.2, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.93392t to kilograms.\nAnswer: 82933.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 9 - (-218 - -212)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**3 - 9*v + 4. Let s be y(2). Let c be 7\/(-5) + s\/(-10). Solve -2*m + 19 = -5*w, -c*m = -w - 2*w - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1267*g - 2658*g - 53807 = 1759*g + 87943 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -302 - -6?\nAnswer: -2b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, c: 1, w: 7}. Give prob of picking 2 j and 2 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 327\/8? (a) -2\/7 (b) -5 (c) 27 (d) 5\/2 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 35*d = -a - 49, 5*a = -6*d - 141 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78, 154, 230, 306, 382, 458?\n\"Answer: 76*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2038*c. Let t(b) = 2*b. What is m(t(s))?\nAnswer: -4076*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 1\/4*a**4 + 0*a + 0*a**2 - 1\/6*a**6 + 0*a**3 - 3 + 0*a**5. Factor t(j).\nAnswer: -j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 241*h + 71. Calculate l(80).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -16. Let r(t) be the third derivative of t**4\/4 - 3*t**3 - 14*t**2. List the prime factors of r(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -323*j**2 + 58*j*o**2 - 14406*o**2 + o - 3 wrt j.\nAnswer: -646*j + 58*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7348 by -4.\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 394887 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) -2\/11 (c) 227\/257\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 90 = -0*r. Suppose -3*x - 108 = -5*a + r*a, -3*x - 330 = 3*a. Let j = a + 137. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let o be (0\/(2\/(-1)))\/(q + 3). Solve j + 5 - 1 = o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1035.1 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -76953 * 0.3\nAnswer: -23085.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 14 - 6. Find the third derivative of -14 + 14 + 8*v**3 - 2*v**2 - c*v**2 wrt v.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(-1 - 1 + 0) + 5 - 3 + 1 + (-1 - 2 + 1)*(-3 + 0 + 5))*(-2 - o**2 + 2).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2689*f**3*n**3 + 2*f**3*n**2 - 12*f**3 - 2*f**2 + 137*f*n**2 - 4*n**3 + 8*n wrt f.\nAnswer: -16134*n**3 + 12*n**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -556.6 + 556.1. Which is the smallest value? (a) x (b) 3 (c) 5 (d) -1 (e) 91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 386381, 3091486, 10433909, 24732308, 48305341, 83471666, 132549941?\n\"Answer: 386443*l**3 + l**2 + l - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -224932\/11707 + 442\/23. Let n = 38 - 39. Is n bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-3)\/(-30)*-2. Let k = -6\/5 - -1. Let h = 235\/207 - 21\/23. What is the nearest to 2 in h, f, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = -4*p + 2*p, 4*j - 4 = -4*p. Which is the third smallest value? (a) 5 (b) -185 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8965*b**4 + 164465*b**3 - 114685*b**2 - 59885*b + 1140 = 0 for b.\nAnswer: -19, -4\/11, 3\/163, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9856 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*p + 49*p + 30 + 50 + 18 as m*p + b and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 10}. Give prob of picking 1 t and 1 k.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 613?\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198091.22246 - 198089. What is y rounded to one dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30175, -30180, -30187, -30196, -30207?\nAnswer: -30220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (0 - (-164 + 148 - (-1 - 84)))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.77 + -8.8. What is the third biggest value in -0.3, -2, 0.5, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -43 and -201151388522?\nAnswer: 201151388479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 11. What is u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369665443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50119, -50129, -50161, -50227, -50339?\n\"Answer: -2*h**3 + h**2 + h - 50119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 67. Solve x*i + h = 4*i - 13, 0 = -h - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfomgmmgii. What is prob of sequence gm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, -468, 2, 43 in descending order.\nAnswer: 43, 2, -128, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*w - 214 = 376 - 80 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8386.9777 rounded to the nearest one hundred?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/13 + 2804574*z\/13.\nAnswer: 2*z*(z + 1402287)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 438*v**5 - 12*v**3 - v**2 + 393*v + 6. Let m(j) = j**5 - 2*j**3 + 1. Let n(z) = d(z) - 6*m(z). What is the third derivative of n(s) wrt s?\nAnswer: 25920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -9785 (b) -0.4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-45)*170\/(-102).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + 8*l - 2. Let z be b(6). Let s be (z + -2)*(-2 + 1). Suppose 32 = 5*p - s. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 7) in base 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - -6) + (-5 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5360921 + 191*b**2 + 16082777 - 5360928 - 5360928.\nAnswer: 191*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274*m**4 + 1239*m + 1107*m - 456*m - 81*m + 484*m**4 wrt m?\nAnswer: 9096*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1072179 and 756.\nAnswer: 90063036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -44?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198898 is divided by 133136?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 9) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/4 - (-725)\/20. Suppose -2*t - k = -6*t. Suppose 0 = -2*w + 3*w - t. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -598385779151722 + 598385840826157.7999926. Let x = m - 61674427. Let j = x - 8.8. Round j to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70274831 is divided by 4778.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 1:12 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 q when four letters picked without replacement from {y: 4, q: 10}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (3281 - -8) + (-714)\/(-51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Suppose 0 = p - a*p + 6. Suppose p*f - f = 152. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 greater than or equal to -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 76312 = 76168 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1266, 3996, 8544, 14910, 23094, 33096?\nAnswer: 44916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*-2 + sqrt(7) - (3 + (sqrt(7) + sqrt(14)\/sqrt(2))**2 + sqrt(7)).\nAnswer: -14*sqrt(7) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15*((-6)\/21)\/((-18)\/(-42)). Is (-4)\/t + (-103932)\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2*t**3 - 205*g**2*t**2 - g**2 + 3*g*t**4 + 48*t**4 + 8*t wrt t?\nAnswer: -6*g**2 + 72*g*t + 1152*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1577.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6411 and 90436423437?\nAnswer: 90436429848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10 + -1)*12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*c - 8 = 0, 6 = 4*j - 7*c + 4*c. Suppose j = -2*b + 4*b + 4*m - 1406, 3*b - 3*m = 2100. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -161*y - 52381. Give r(-328).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -15. Let w be 8\/(-12)*(2 - u - 7). Solve 5*z - 6 = j, -w*j + z = -0*j - 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 790019, 790017, 790017, 790019, 790023, 790029?\nAnswer: 790037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1001001110 (base 2) to base 4\nAnswer: 21032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 814 and 872534?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22935 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -47*q + 3. Let a(z) = 47*z - 3. Let j(u) = -2*a(u) - 3*c(u). Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 - 1. Let h be a(-1). Let s be (-2)\/h + 19372\/(-12). What is the common denominator of (-4)\/(-18) + s\/(-90) and -9\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r + r - 7502. List the prime factors of r.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a minute in seconds?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**1)\/(j**7\/j))\/(j**(-5)\/j*j*j**(-4)) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 7 + 26 = 2*w - 10, 0 = 3*w + 10*f + 2*f + 9*f - 159 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*p**2 + 5*p - 1186.\nAnswer: 42*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from {x: 1, d: 6, g: 1, f: 4, u: 1, q: 4}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/115, 4, -0.34, 1\/4, -1 in descending order.\nAnswer: 4, 1\/4, 1\/115, -0.34, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 2:51 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1900)*3*-4 - (2*sqrt(1900) + 5 + -1*sqrt(1900)*-1))**2 + -2.\nAnswer: -900*sqrt(19) + 153923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1416*d = 1438*d - 379 + 1171 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -28 - 6) + 89?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-88 + 99)*2\/11. Solve -z*o + 10 = 3*u, 6 = o - 4*u + 6*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 16. Suppose q*l + 146 = 35*l. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18610 - -30807. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3864710 (base 10) to base 5\nAnswer: 1442132320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24127 or 37?\nAnswer: 24127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**4\/6 + 11*w - 5. Let r(k) be the first derivative of i(k). Let d(c) = 17*c. Give d(r(a)).\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t**5 + 3*t**2 - 3*t**2 + (8*t + 12 - 12)*(t**4 + 0*t**4 - 3*t**4) - t**5 - t**5 + 9*t**5 + (-t + 6*t - 4*t)*(4*t**4 - 3*t**4 - 2*t**4)*(2 - 3 + 0).\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10}. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 10102*r\/3 + 20228.\nAnswer: -2*(r - 5057)*(r + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klm when three letters picked without replacement from azblkmllkbak?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011110010000101010 (base 2) to base 11.\nAnswer: 403034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-152)\/19)\/((-1448)\/(-543)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2871?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2814 = -v - 1393, -5*v - 827 = -p. Let j = p + -828. Solve 9*g - j*g - 10 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d = -35*d. Let f be -3 + d + (330\/64 - 4). Let n = f - -2311\/160. Calculate the common denominator of -22\/5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -5, -4, 15, 0 in ascending order.\nAnswer: -5, -4, -1, 0, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(190)\/(sqrt(60)\/sqrt(6)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**4\/4 - 3*z + 4. Let l(r) be the first derivative of 5*r**2\/2 + 1. Determine o(l(c)).\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1098 - -670. Round u to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, 0.1, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 100, 347, 826, 1615, 2792, 4435, 6622?\nAnswer: 9431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 - (-19 - (3 - 1) - (17 - 30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/2 + 5. Which is the nearest to 3\/2? (a) 0.3 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/6 + 56*l. Let w(b) = 11*b**2. Let o(x) = 6*x**2. Let z(d) = 5*o(d) - 3*w(d). What is i(z(p))?\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 + 1. Let v be d(0). Suppose -u = -v - 1. Suppose 5*x + 3*w - w + 4 = 0, -4*w = 8. Solve -2*f + u + 4 = x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - j**3 + 10 - j**2 - 571*j + 572*j - 7*j**2. Calculate l(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223638 (base 9) in base 8?\nAnswer: 405450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (126\/12)\/((18\/8)\/3). What is the derivative of 32 - 11 - w*f**3 - 19 + 33*f**3 wrt f?\nAnswer: 57*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - o + 151236, 0 = 2*k - 4*k - o + 60495. Suppose -w + 5*g = -6025, 5*w + g = -252 + k. Round w to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + 6*f**2 + 4*f + 156. Let i be b(0). What is the highest common factor of 741 and i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-230)*((-1980)\/(-891) - ((-104)\/(-36) + -4))?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 6.8?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*r = 3*b + 302, -b + 151 = -2*r. Is 30 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a factor of 1689502440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 1 (b) 1\/8 (c) -2\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251139 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3)*s)**(3\/11))**(25\/4)\/(s**(-5)*s**(-2\/5)*(s*s**7)\/s*s**(-2\/7)) assuming s is positive.\nAnswer: s**(11101\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from cccaccaccc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(140360\/(-58)))\/(1\/(-2)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-5 + -1))\/(9\/(-4) - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-2)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -29198 divided by -2\nAnswer: 14599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10077 is divided by 129.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*q - 166*q - 177*q - 13*q - 185*q in the form b + u*q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h**2 + 3*h + 1. Let n be (-10)\/55 - (-46)\/11. Calculate t(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-5))\/(-4)*(-665)\/(-70).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1113 and 1.919.\nAnswer: -1111.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1659794, -12, -4, -3, 2.\nAnswer: -1659794, -12, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17232*h = -17231*h + 5. Let x(b) = -b**2 + 1. Let a(p) = -p**3 - p**2 + 7. Determine h*x(o) + a(o).\nAnswer: -o**3 + 4*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4 - 14489652*v**3 - 17495834590092*v**2 = 0.\nAnswer: -2414942, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v - 14. Let w be g(3). Let m be 2 - (-4)\/(-3)*(-4 + w). Suppose 12 = 3*a + m. Solve -a*t = 3*t + r - 22, 0 = 4*r - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22675067 is divided by 1521?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*p - 150137 = 174*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05409299925 rounded to four decimal places?\nAnswer: -0.0541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16154 - 104839 = -31*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3, -4.\nAnswer: -19, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5226, -20929, -47106, -83757?\n\"Answer: -5237*r**2 + 8*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12)\/(((v**(-13)\/v)\/v*v*v)\/v)*(((v*v**(-5\/3)\/v)\/v)\/v)**(1\/4) assuming v is positive.\nAnswer: v**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1382\/635 - 3\/127. Let r = -1660 + 2731. Find the common denominator of 6093\/r - (-4)\/(-34) and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379423537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 607180 and 1680?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(4608) + -2 + (-2 + sqrt(4608) - sqrt(4608)) + -5 + 1 + sqrt(4608) + 5)**2.\nAnswer: -576*sqrt(2) + 18443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, t: 3}. Give prob of picking 1 a and 2 t.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342023 (base 5) to base 7.\nAnswer: 50250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 divided by -11.\nAnswer: 243\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22657266400 rounded to the nearest 1000000?\nAnswer: -22657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*u - 140*u - 647 = -145. Let n(o) = 4*o**3 + 2*o**2 - 3*o - 2. Determine n(u).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 3529.\nAnswer: -705.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.3 - 4.1. Put 0, -4, r in decreasing order.\nAnswer: r, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1242 + -12.\nAnswer: -12.1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 42. Suppose 25*v + 2 = i*v. Let p = -1\/59 - 293\/118. Is p < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -173, -100, 11, 172?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -2*m - 2*s + 64, -15 = 3*m - 3*s. Is (3 - (-15)\/m)\/((-1)\/(-58)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (161 - 82 - 80 - 38*n)*((3 - 1 - 1)*(-3*n + 2*n + 0*n) - 4*n + n - 2*n) + 0*n**2 - n**2 + 0*n**2.\nAnswer: 227*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -116792, -233588, -350384, -467180?\n\"Answer: -116796*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 10 + 6. Let s(w) = -f + 0 - 3 - 2*w**2 + w**3 + 2. Suppose j - 15 = -4*j. Determine s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -25. Let r(t) be the second derivative of 0*t**s + 1\/6*t**4 + 1\/15*t**6 + 2*t + 0 + 0*t**2 + 0*t**3. What is the third derivative of r(h) wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 43*b**5\/12 - b**2 + 167*b. Let s(h) = h. Give d(s(c)).\nAnswer: 215*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*z + 5*d, 8 = 2*z - d - 2. Find the third derivative of -13*m**3 + 2*m**3 - z*m**3 - 5*m**3 + 18*m**2 wrt m.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*v**2 + 12*v**4 + 39*v**2 + 35*v**2 - 60*v**4 wrt v?\nAnswer: -1152*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*u = -52, -113 - 5 = -4*i - 2*u. What is the greatest common divisor of 1413 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (-30 + 27).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**6 + 1412*o**5 - 37*o**2 + 84*o + 2 wrt o.\nAnswer: 120*o**3 + 84720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 607640 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1028)\/4112)\/(2\/(-22))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34841244 to the power of 1\/2, to the nearest integer?\nAnswer: 5903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/1 - -3)\/((-4)\/6). Let z(p) = 3*p + 6. Let q(v) = 3*v + 6. Let m(d) = f*z(d) - 4*q(d). What is m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358773*h**2\/2 + 24*h = 0. Calculate h.\nAnswer: 0, 16\/119591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(3) - (3 + (0 + sqrt(3))**2).\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + x - 4. Let d be k(-3). Let s be (-56)\/d - (-2)\/(-4). Solve -s*w + 1 = -2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -44. Let h be 2\/6 + 16\/(-30). Which is the biggest value? (a) h (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 7*v - 11. Let x be u(3). Is x at most 3\/437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -5, -2351, 0 in decreasing order.\nAnswer: 1, 0, -5, -6, -2351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*i + 38*i - 125*i + 37 + 49*i wrt i?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:47 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w + 11*w**2 + 22*w - 45*w.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 920*a - 1906*a + 4*a - 1727*a - 577*a to the form v*a + x and give v.\nAnswer: -3286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/10)\/((-1)\/(-10)). Solve -2 = 2*l - y*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 46 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*f = g + 18, -3*g - 12 = 3*f. Calculate the least common multiple of 22 and 2\/g + (1 - -11).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f - 1. Let x be z(5). Let c = -1 + x. Calculate the remainder when c is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 764 = -0*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 6*x - 11. Suppose -5*a - 3*v + 128 = 0, 5*a + 2*v - 16 - 111 = 0. Let r = 17 - a. Let b be g(r). Solve 0 = -0*o + b*o - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3443, 7098, 10731, 14330, 17883?\n\"Answer: -2*o**3 + o**2 + 3666*o - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20324772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/100 and -119\/36.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*c - 7. Let q be 2 + 1 + 0\/(-1). What is the lowest common multiple of 43\/3 + (-1)\/q and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(1*-2)*(-87)\/((-2610)\/(-60))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3146299.\nAnswer: 13, 41, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 42333 - 5*k**3 + 42333 + 138*k**4 to b + a*k**2 + l*k + f*k**3 + i*k**4 and give i.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(475)*2*-5*-4)**2 - (5*(1 + (sqrt(475) + sqrt(475)*1)**2) + -1).\nAnswer: 18990496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -518220760 rounded to the nearest 100000?\nAnswer: -518200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*c*v**4 - c*v**3 + 241*c + 331*v**4 - 43*v wrt v.\nAnswer: 216*c*v**2 - 6*c*v + 3972*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*h - 81 + 66 = 0, -3*k = -h - 12. Solve -2*m - b = 6 + 5, 3*m = 3*b - k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7486416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 2*s + s)*(0*s + 2*s - s) + 47*s**2 - 50*s**2 - 2743 + 2744 - 17*s to the form c*s + b*s**2 + h and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -16\/11834981?\nAnswer: -16\/11834981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114166 = -246*n - 82504 + 129960. Calculate the remainder when n is divided by 229.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 128, 147, 148, 125, 72?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13483197 and 2934?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 - -313. Let h = -37 + 53. Calculate the greatest common divisor of i and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/21)\/(-2 + 1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixteenths of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16446?\nAnswer: 2, 3, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 223*a + 670. Let z be y(-3). Let l(m) = 9*m + 2. Let g(v) = 8*v + 1. Let b(u) = -7*g(u) + 6*l(u). Let o be b(-5). Put 0, o, z in ascending order.\nAnswer: 0, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*5)\/(-3*sqrt(10)*-3) - ((0 + sqrt(1872) + -3)**2 - (-5 + sqrt(1872)*-4)).\nAnswer: -1886 + 226*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/24)\/(((-7)\/70)\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1190\/136 - (-3)\/(-4). Solve c - p = -2*c + 6, -c - 3*p - s = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -23 (b) 71 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - a90?\nAnswer: -a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 59 + 59 + (0 - d**2 + 0)*(2 + 3 - 4) - 2*d**2 + d**2 + 5*d**2 - 5*d**2 + 2*d**2 + 2*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 32*k + 66*k - 142*k + 35*k + 5. Determine g(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 23588*y + 203. Is p(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsvs when four letters picked without replacement from {q: 5, v: 2, s: 7}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a + 5. Let o = 67 - 71. What is k(o)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*c - 640 + 634, -n - 108 = -36*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or -4490\/41?\nAnswer: -4490\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*i = 293*i + 1324701. Calculate the greatest common divisor of i and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m - 18. Let n be f(-2). Is (-2)\/((-2)\/(-4645))*n\/(-5) 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)\/2)\/((-1363)\/174 + 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3160)\/140 + 10 + 13. What is the third biggest value in -6\/13, m, 6?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 17*s + 144*s = -3816 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 1. Let r(i) = 5*i + 672. What is -r(b) - 2*s(b)?\nAnswer: -b - 674","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + -10. Let s = -13 - o. Let b(g) = -16*g + 756. What is the lowest common multiple of b(47) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 5. Find the second derivative of 8*p + m*p**2 - 9*p**2 + 13*p**2 wrt p.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 553\/12 - 183\/4. Factor 4\/3 + 1\/3*i**3 - a*i**2 - 4\/3*i.\nAnswer: (i - 2)*(i - 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w + w - 11*w**2 + 15*w**2 wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 24 - 2*z**2 - 27.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 394046 times -16?\nAnswer: -6304736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1081723, -1081719, -1081713, -1081705, -1081695, -1081683?\n\"Answer: b**2 + b - 1081725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*s + 24. Solve s*h - 7*h = 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185, 9, -2, -5 in descending order.\nAnswer: 185, 9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((24 - 4*k**2 - 24)*(-2 + 1 + 3) - 4*k**2 - 13*k**2 + 8*k**2)*(-2*k - 5*k + 5*k).\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c + 159. Let l(i) = -i + 32. Give 11*l(m) - 2*x(m).\nAnswer: m + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*b**2 - 103*b**2 - 5 - 11*b + 2 + 11 wrt b?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - -1.35. Let q = p + -1. Let k = -0.18 + 0.08. Which is greater: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -2313 (b) -3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5 - 1249*h**4 + 43473*h**3 - 191051*h**2 + 148828*h = 0. What is h?\nAnswer: -1283, 0, 1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012734 to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**2 + 0 - 3*k + 1\/6*k**3. What is the units digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i + 45. Let s = 24 - i. Let t = 19 + s. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(17)))**2 - (sqrt(51)\/sqrt(3) + -3)**2.\nAnswer: -94*sqrt(17) + 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 304219907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -11, -13, -4, 10 in increasing order.\nAnswer: -13, -11, -4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-40377126.\nAnswer: -121131378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 41. Suppose 3*y = 6*y - l. Let r = -3611\/26390 - 1\/910. Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 36. Let i(n) = -2*n + 21. Let v(g) = 2*i(g) + 2*o(g). Calculate v(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 7*o**2 + 4*o + 2. What is m(-8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.2, 777?\nAnswer: 777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 2*y**2 - 4*y**2 - 4*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1936 - -2162. What is the remainder when v is divided by 67?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -11*z**3 + 3*z**2 - 2*z - 4. Let w(b) = -12*b**3 + 4*b**2 - b - 4. Let v(x) = 3*g(x) - 2*w(x). Let c be v(-3). Let s = -151 + c. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6186 and -1.41.\nAnswer: 0.872226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 82*i + 1006. Let v be x(-15). Let j = -1.28 - -0.28. Which is the nearest to -6? (a) -1\/5 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 12 + 17)*(-2*w - 3*w + 4*w) to the form r*w + s and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.7762 (b) -1\/11 (c) -0.6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 59\/(-136) + 2\/(((-896)\/12)\/(-14)). What is the closest to 0.1 in v, -29, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -20*k - 405. Let a be y(-24). Calculate the highest common factor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 3970, 8882, 15766, 24628, 35474?\nAnswer: 48310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -301, -623, -945?\n\"Answer: -322*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*y - 3*y. Suppose -16*n + y*n - 20 = 0. Which is bigger: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*w + 1170 = 154*w + 136*w for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + m - 5*m + 4*m. Let z(q) = 2*q - 5*q + q. Determine x(z(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 4, s: 3}. Give prob of picking 3 r and 1 y.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvmvvvmvvvvvvvvvv. What is prob of picking 4 v?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -t - 5*z, -3*t - t + z = 64. Which is smaller: -16 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q + v + 11 = 0, -3*q + 5*v = 11. Suppose -2*a = -a - q. Suppose 269470 = -a*z + 2219470. What is z rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/9 + (-4)\/((-60)\/(-5)). Let p(r) = -3*r**3 - 3*r**2 - 3*r - 3. Let a(d) = 5*d + 6*d**3 - 2 + 5*d**2 + 7 + 0. Determine c*a(z) - 5*p(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*g + 31*g + 33 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51643.\nAnswer: 43, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2 + 25*l + 88. Calculate c(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand k - 16*k + k + (-2 + 4 - 5)*(-6 + 6*k + 6).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2\/7 - 37950*b\/7 + 75956 = 0.\nAnswer: -18989, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let p(r) be the first derivative of 25*r**4\/24 - 7*r**2 - 2. Let t(l) be the second derivative of p(l). Determine t(z(o)).\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 63, 169, 367, 687, 1159, 1813?\n\"Answer: 5*z**3 + z**2 + 6*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/5)\/(-7))\/(4\/12)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 0*t - 152. Suppose 21*h = t*h + 18. Let q(r) = 10 + 3*r - h*r + 7*r. Give q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3479107242 and -0.1.\nAnswer: 3479107241.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 880 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-20 - -12)) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 41. Suppose -v - w = -4*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, f: 1, w: 1}. What is prob of picking 2 u, 1 w, and 1 f?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*7\/(-63)*(-2)\/(-40).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 2:18 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**6\/6 + b**5\/10 + 5*b**4\/3 + 3*b**2\/2 - 15*b + 3. What is the third derivative of d(c) wrt c?\nAnswer: -120*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**3\/3 - 681*r**2\/2 - 2664*r. Let t(p) = p**2. What is j(t(y))?\nAnswer: -2*y**2 - 681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 2. Let f be c(-5). Suppose -f*t + 31 = -8. Suppose 0 = 4*u + 1 - t. Solve -u - 1 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*a + 48, 5*s - 2*a - 20 = 16. Suppose -7*m = -62 + 13. Calculate the lowest common multiple of s and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 0, 12 = -4*b - 4*w - 36. Let n be (-165)\/(-30) - 41\/2. Let c = b - n. Solve c*l = -l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 11*v - 1. Give y(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10378704 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:47 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46393000 and 24561?\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*v + 14 - 102, -132 = 3*z - 5*v. Let x = 80 + -148. Let s = z - x. What is the remainder when 46 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-80) + -1 - -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*w = -14, -3*z - 6*w - 7605 + 7575 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/(-23731)*4\/(-6). Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 55*l**3 + 5*l**2 - 5*l. Let n(m) = 54*m**3 + 6*m**2 - 6*m. Determine -6*g(z) + 5*n(z).\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.93 + 0.07. What is the closest to 2\/3 in -3, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljfjjhlfljljfljffjj. Give prob of sequence jf.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + -3 - (0 + (-102)\/(-104)) and -65\/2.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 91.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4964?\nAnswer: 4964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 16, -4, 3, -25.\nAnswer: -25, -7, -4, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/(-105) - 104\/(-14). Suppose 5*c = -z - 135, -465 = -3*z + g*z + 5*c. Let j = z - -1140. What is j rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*-5*(1*sqrt(208) + -3 + 5*(sqrt(208) - (0 + sqrt(208)))))**2 + -4.\nAnswer: -9600*sqrt(13) + 86793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65710 (base 8) in base 2?\nAnswer: -110101111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 7. Let u be y(3). Let l be (-3 + 9\/(-6))*(-3944)\/6. Is l\/u*6\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 289.5272t?\nAnswer: 289527.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 9 (c) 3\/8 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 920 and 14797740.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.1. Let f = 51 - 55. Which is the closest to 2\/7? (a) f (b) 2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3257967*k - 40. Let z be n(-8). Suppose -z + 116563696 = 5*t. What is t rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24496?\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 18. Let w be h(-9). Let z(i) be the third derivative of i**5\/60 - i**4\/24 + 6*i**3 - 2*i**2. Does 17 divide z(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -28, -60, -104?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*r = 0, 8*c - 6*c = 4*r + 18. Find the common denominator of (3 + (-10)\/(-12))\/(4\/c) and -45\/34.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -290123 times 0.6\nAnswer: -174073.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 + f - 1. Let z be y(6). Suppose -h + 81 = 4*d - z, d - 2*h - 44 = 0. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11507 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85*o**6 + 120*o**3 + 1105*o**2 + 2*o?\nAnswer: -10200*o**3 + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 6039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 1. Let m(q) = -q**2 + 22*q + 47. Let h be m(24). Let f(x) = -2*x**3 + 6*x**2 + 7*x + 6. What is h*f(u) + 6*z(u)?\nAnswer: 2*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -33*o**2. Let p(f) be the second derivative of -11*f**4\/3 + 51*f + 37. Determine p(y(g)).\nAnswer: -47916*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10782)\/(-225) + (-2)\/(-25). Calculate the greatest common factor of s and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 6:46 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/20*-2*1\/3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**2 + 11*r + 33. Let u(a) = -4*a**2 + 6*a + 18. Let x(q) = -6*l(q) + 11*u(q). Let z(w) = -68*w**2 - 2*w. Calculate x(z(j)).\nAnswer: -9248*j**4 - 544*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -28 + -74 + 66 + 28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-20)*f)\/f)\/f)\/f*f**(2\/17)*(f*f*f**20*f)**11 assuming f is positive.\nAnswer: f**(3929\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360800\/(-9792))\/275 + (-1)\/(-18).\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - x = 8, -3*n - 2*x + 2 = -0*x. Find the third derivative of -10*s**2 - 3*s**2 - s**2 - 20*s**3 + s**n wrt s.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11*o. Let b(i) = -5*i. Let k(r) = -13*b(r) + 6*x(r). Let p(f) = 3*f - 14. Determine k(p(j)).\nAnswer: -3*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/3 - 5*j**4\/3 - j**3 + 17*j**2\/3 - 10*j\/3.\nAnswer: j*(j - 5)*(j - 1)**2*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 2*c**2 - c**3 - 45 - 194*c**4 + 271*c**4 as z*c**3 + v*c**2 + o + j*c**4 + w*c and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1 + -1 + -4. Let d(x) = -x**3 - 4*x**2 + 3*x - 7. Let m be d(j). Find the first derivative of -3*h**m - 5 + 1 + 3 wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/3 - 2) + 2. Let o(i) = -i - 2 - 4 + 10. Let r(n) = n - 42. Let p(t) = -t + 21. Let b(s) = 9*p(s) + 4*r(s). Calculate w*b(y) - 11*o(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 388, 765, 1144, 1525, 1908?\n\"Answer: y**2 + 374*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 28 = -4*w, 8*w + 42 = -3*w + 4*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (34\/(-12))\/(98\/(-12936)). What is the highest common divisor of b and 6171?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001016229 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 5. Let x(k) = 4*k + 1. Let i be x(-2). Let r be p(i). Let z be 0*(2 + (-5)\/r). Solve 2*u = 3*y - 7 - 7, z = -4*u - 3*y + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) 1071 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(((-5)\/38)\/5). Does 19 divide 1\/(((-15)\/c)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.09 (b) -133\/8 (c) 0.3 (d) -2 (e) 4.4 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15592 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3324, -6643, -9962, -13281?\nAnswer: -16600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**2 - 2*n - 1. Suppose 18*m - 20*m = 0. Suppose -c + m = 2. Determine o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 18*f**2 - 24*f + 15. Let t be g(16). What is the greatest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 6711.\nAnswer: 765054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 1 - 2 - l - 2*l**2 - l**2 + 2*l. Let y(z) = -91*z**2 + 78*z - 78. Determine -78*i(t) + y(t).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f. Let k(i) be the second derivative of -5*i + 0*i**2 + 0 + 1\/6*i**3. Give b(k(w)).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 30\/(-50) - (-123)\/5.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2880))\/(sqrt(9) - -3*sqrt(576)) - 6*(0 + (-3 + (sqrt(605) + -1*sqrt(605) - sqrt(605)) - sqrt(605)))**2.\nAnswer: -14574 - 19792*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -348 + 226. What are the prime factors of (x\/(-2))\/((-15)\/(-15))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 5*d**3 + 8 + 8*d**4 - 3*d**2 + 27 - 38 + 3*d**4 + 2*d in the form x*d + s*d**4 + t + c*d**2 + v*d**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {d: 5, b: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + 10. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 175*z - 7342. What is o(66)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745311?\nAnswer: 3, 7, 35491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1372441mg in kilograms?\nAnswer: 0.0000001372441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 10 + -13 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 e, and 1 u when four letters picked without replacement from {e: 8, d: 3, i: 2, u: 3}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - 3.37. Let x = u - 0.6. Let n = -1 - 1. Which is the closest to 1? (a) -0.5 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p + 29*p + 13 = -k - 22, 3*p = k + 19 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 13*y**2 - y + 12. Let l be f(13). Let r = 53 - l. Suppose -4*n + 6*n = r. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*z - 863*z - 3*f - 82 = -0*f, 3*f + 2*f = -145 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 - (-13 - 20) - -128.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -18, 24, 102, 228, 414, 672?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 40*w - 133. Let q be v(16). Let n = q + -132. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14217148 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*x - 17*x - 303*x**2 - 25*x in the form i*x**2 + h + q*x and give i.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 24 = -3*w. Let r = -2970 - -2974. Calculate the least common multiple of r and (3\/5)\/(w\/(-390)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34571*t**4 + 16*t + 34572*t**4 - t**2 + 0 - 3 + t**3 as q + p*t + g*t**2 + b*t**3 + n*t**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, f: 1, q: 2}. Give prob of sequence pq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321285.\nAnswer: 3, 5, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22418 - 22418 - 56*n**2)*(3*n + 0*n - 5*n).\nAnswer: 112*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15 = -5*j, 5*j + g - 3 - 2 = 0. Solve j = -r + 12 - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 28*w**2 + 169*w. Let q be s(-19). Suppose 40 = 4*k - 4*j + 2*j, 4*j = 0. Suppose q + 22 = k*v. What is the third smallest value in -8, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:12 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*316561\nAnswer: -443185.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2\/(-14))\/(74\/(-4662))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-6)\/8)*-4. Suppose 0*s + s + 1 = -2*t, -2*s + d = -2*t. Let z(h) = h**3 - 3*h**2 + 5 + 0*h**2 + 4 + 3*h - s. Calculate z(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 + 0*t**2 + 6*t**2 + (1 - t - 1)*(-349*t - 143*t - 199*t - 9*t) as x*t + d*t**2 + j and give d.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26680?\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 589.9865 centuries?\nAnswer: 5899.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -605*q**5*t + 2*q**4*t**2 - 16*q**2*t**2 + 27*q**2*t - 2*t**2 wrt q.\nAnswer: -36300*q**2*t + 48*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 plus 29129?\nAnswer: 29397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1013 (base 5) to base 12\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4340080.754 - -0.162?\nAnswer: -4340080.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -18*g**5\/7 + 78*g**4 + 2892*g**3\/7 + 240*g**2 = 0.\nAnswer: -4, -2\/3, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/24 - -25\/24. Let w = -55 - -56. Which is smaller: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/209, 4, -0.1273644?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -39*z**4\/8 - 5*z**3\/2 - 5*z**2. Let i be a(-13). Suppose -f - i = -7*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/135)\/(1\/3). Let s = -3 - -1. Let m be (2 - (-9)\/(-6))*8\/10. Which is the closest to s? (a) m (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4245 + -13. Suppose -80 = 6*q - i. What are the prime factors of q?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -16. Let r = t + 31. Suppose -9 = d - 2*b, -3*d + 2*b + 0*b = 11. What is the third biggest value in d, 7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 382 + -326. Calculate the highest common factor of 64 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 15*c - 2*n + 232, 0 = -2*c + 2*n - 110. Put -24, c, -1 in descending order.\nAnswer: -1, -24, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4710 (base 8) to base 7.\nAnswer: -10205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = s - 373 - 240, -4*s = 4*t - 2416. Which is greater: 606 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*v - 13, 4*o - 9*o = -5*v - 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3034080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 10*d = -72 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 64*l + 1024.\nAnswer: (l - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccnsrrj. What is prob of sequence cns?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2 - (-3 + 4). Let x be (-53)\/3 + s\/9. Let t be 2\/9 + (-68)\/x. Is t greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25706 = -33*v + 35*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 126, 149, 172, 195, 218?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/11, 2, 0, -1.4 in decreasing order.\nAnswer: 4, 2, 0, -1\/11, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/29))\/(g**15\/g) assuming g is positive.\nAnswer: g**(-375\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 28*p**2 - 2*p + 1. Calculate o(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4660\/(-4893)*(-14)\/(-4))\/(25\/510)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**2 + 63*t - 84. Let s(x) = 23*x**2 + 189*x - 254. Let q(b) = -17*n(b) + 6*s(b). Find the first derivative of q(a) wrt a.\nAnswer: 4*a + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 41 - (4 - 50)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/4 (c) -1\/58 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-5) + 378\/(-80) and -51\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*c**2*n*u - 1254*c**2*n + 25*c**2*u + 2*c*n + 83*c*u - 5*c + 7*n*u + 27 wrt c?\nAnswer: 20*n*u - 2508*n + 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*d = 6, 0*d - 15 = 2*a + 5*d. Let f be 48\/15 + (-72)\/(-40). Suppose -2*x = -2*j - 6, 3*x - 12 = -5*j - x. Solve -f*h + a*h - 15 = j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228832*a**2*c**2*r**2 + 2*a**2*c**2*r - 2*a*c**2 - 2*a*c*r - a*c - 2*a*r**2 - 18*c**2*r**2 - 1761*r**2 wrt a.\nAnswer: 457664*c**2*r**2 + 4*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1371 in -5\/13, 0, -507, 3\/7?\nAnswer: -507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -302428 and -330?\nAnswer: 99801240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 86 - 7 - (15\/3 - 6). Solve 46 = 21*a - y for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 1\/2*w**4 + 0 - 6*w**2 - w + 7\/6*w**3 - 1\/20*w**5. Let d be m(4). Calculate the highest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 + -4)\/(-9))\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by -4?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.051\nAnswer: -0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/54*(-1)\/(-7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -108833.15 in ascending order.\nAnswer: -108833.15, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (15 + (-28 - -1) + 5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 + 580*m + 149. What are the prime factors of s(108)?\nAnswer: 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - g = q + 2, -3*q + 10 = -g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = -2*x + 4, 10 = 5*x + 2*b. Let g be 6\/9*(4 - 1). Let o be g - (1 - 3\/1). Solve f = -4*l + 8, x*l - 4 = o*f - 0*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19352*r + 6698 - 3367 - 3330 as a + u*r and give u.\nAnswer: 19352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1686.7507706 from -4.\nAnswer: -1690.7507706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-45)*-21)\/(414\/(-4140)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4056613?\nAnswer: 11, 368783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -158*w - 16441 + 25021 for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -0.67.\nAnswer: 3.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is da5a5 (base 14) in base 7?\nAnswer: 4326165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/3 - 2) + 26. Suppose -5*n = -2*r - 7 - 5, 5*r = -n + 24. Solve p = r*m + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 11:12 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5600064803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5 (b) -2786 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 7*t = 210. Let n be (-8)\/(-14) + 40\/t. Let b(h) be the second derivative of h**5\/20 + h**4\/12 + h**3\/6 + 7*h**2\/2 + 46*h + 2. What is b(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*-6*5*sqrt(102)*-1)\/(1*(sqrt(150) + sqrt(150)*1 + sqrt(150) - sqrt(150)) + 2*(-2*sqrt(150) - sqrt(150))).\nAnswer: -5 + 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 16*x + 194. Let i be f(8). Let p(w) = w**2 + 3*w - 2. Determine p(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 10, 58*b + 11 = 170*b - 54*b - 79*b - 2*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*102\/12*(12 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 0. Let s = h + 51. Let q = s - 22. Solve 0 = -2*t - 2*t - q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/371 - -786\/4081. Let z = 4\/7 + -1\/14. Which is the nearest to j? (a) z (b) 3\/5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -68. Let f be (176\/w)\/(2\/(-6)). Is (-2)\/(-4)*-2*f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 431552?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 2*z**2 + 3*z + 1. Let u be y(-4). Let c(v) = v**3 - 4*v**2 - 4*v - 5. Let q be c(6). Let m = q - u. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1440)\/(-27) + 6\/(-18))*23\/(-23)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2585.\nAnswer: 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.700182ns in hours?\nAnswer: 0.000000000022694495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347069527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -610\/3 - -2037\/10. Let g = 7\/10 - d. Determine p, given that 1\/3*p**2 - g*p**4 - 1\/3*p**5 + 1\/3*p**3 + 0 + 0*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/75322 and 99\/21617414.\nAnswer: 21617414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229 - -262. Calculate the remainder when m is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 3*m**2 + m - 2. Calculate t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2520 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o - 7*o - 9*o - 17*o in the form l*o + u and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1747 + -1189. What is the smallest common multiple of a and 24?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 = -12*q + 61 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 12*z**2 + 32*z - 7. Determine j(-11).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 12*n - 9. What is d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122089, -488554, -1099335, -1954438, -3053869, -4397634, -5985739, -7818190?\nAnswer: -9894993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s\/(s*s**(-4)*s*s))))\/s)\/(s\/(s*s*s*(s\/((s**(-1\/2)*s)\/s)*s*s)\/s*s*s)*s) assuming s is positive.\nAnswer: s**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(0 - 2*w**4 + 0) + 5*w**4 - w**4 - 3*w**4 + (-7 + 7 - 10*w**3)*(w - 6*w + 2*w) + 0*w**2 - 2*w**4 + 0*w**2.\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5\/15 - 94*p**4\/3 + 106558*p**3\/5 + 1941206*p**2\/15 - 4839544*p\/15 + 859712\/5 = 0.\nAnswer: -532, -8, 1, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1560 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*8\/(-180)*-3)\/6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.2386\nAnswer: -1.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -129, -260, -393, -528?\n\"Answer: -z**2 - 128*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 137*l**2 + 1783*l + 146. Calculate j(51).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635552.4m to millimeters.\nAnswer: 635552400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.7 and 41.508604?\nAnswer: 32.808604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 32*k - 6 + 48*k**2 + 1\/3*k**6 + 16*k**4 + 18\/5*k**5 + 112\/3*k**3. Factor q(v).\nAnswer: 2*(v + 1)*(v + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, t: 1, l: 1, d: 2, i: 3}. What is prob of picking 2 d and 1 s?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 196594926 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 359*a + 75 - 43 as k + w*a and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25382*k**3 + 2*k**2*m - 8774*k - 2*m wrt k.\nAnswer: 152292*k + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 200660291 to the power of 1\/3, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41098.28l?\nAnswer: 41098280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -196275 divided by -65425\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, u: 9}. What is prob of picking 3 h?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193036924 to the nearest integer?\nAnswer: 13894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -133\/517 (b) 4 (c) 6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -925, -1\/4, -11 in decreasing order.\nAnswer: -1\/4, -11, -925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 6\/48*52)\/2. Factor -g - 1\/4*t**2 + 3\/2*t.\nAnswer: -(t - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - (2 + 0 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 14 = -16. Calculate the smallest common multiple of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -46, 5, -0.4?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14523924, 14523932, 14523940, 14523948?\n\"Answer: 8*n + 14523916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 33*x - 3619. Determine w(76).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 2\/559 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 164623 * 0.5\nAnswer: 82311.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-260*x**4 + 9995 - 9995)*(x + 0*x - 3*x).\nAnswer: 520*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115412899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2. Suppose 0 = p - 0*p - 4. Suppose 26 = p*z + 6. Let j(y) = z*y**2 + 57 - 57. Give b(j(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*v**2 - d**2*v - 28149538*d**2 - 2*d*v**3 - 4053718*v**3 wrt v.\nAnswer: -2*d**2 - 12*d*v - 24322308*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.3 (c) 25439\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11847 is divided by 2931?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3659107860 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 13, v: 3}. Give prob of sequence iivv.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2553?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 108266 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.137\nAnswer: 0.0548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.7 - 6. Let f be (-7 + -4)*(-16)\/(-40) - (2 + -6). Sort f, 3, 0.09, v in decreasing order.\nAnswer: 3, 0.09, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564960 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 - 251.7. What is the third smallest value in -4, k, -0.12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-192)\/(-116)*1035\/(-90). Is -20 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -1\/8, -1\/4, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -584 - -71. Let u = -121 - x. Does 98 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 66262044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7)*i*i)\/i)**(1\/41)\/((i\/(i\/(i**(-2\/11)*i)))\/i*i**(2\/13)) assuming i is positive.\nAnswer: i**(2435\/41041)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**4 + 6019*d**3 - 3*d**2 + 310459.\nAnswer: 8*d**3 + 18057*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(3\/(-12)*4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 14. List the prime factors of s(0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342023 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and -2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 315.8 + -314.8. Are o and -5\/67 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l + 22 = 0. What is the greatest common divisor of l and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -272 - 934. Let n = -136 + u. Which is the closest to -3? (a) 2\/5 (b) -1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-4)\/(-474)*3). Let w(a) = -2*a - 5. Let h be w(-4). Suppose -h*b - 141 = -5*g + v, -3*b + 149 = 4*g. What is the common denominator of -63\/8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/113 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/61 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13103*o**2*v + 7*o**2 + 2*v + 56773 wrt o?\nAnswer: 26206*o*v + 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**7\/60 - h**4\/2 + 13*h**3\/6 - 6*h**2. Let a(t) be the first derivative of c(t). What is the derivative of a(d) wrt d?\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -59, 22, 3 in increasing order.\nAnswer: -59, 3, 4, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {z: 6, s: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 + 150*d + 145 = 0. Calculate d.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/3 - -2)*(13 + 4485\/(-5)). Which is the third biggest value? (a) i (b) -9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939300 >= 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m + 1005*m = 0. Find p such that 3\/8*p**3 + m + 9\/4*p - 21\/8*p**2 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 13. Let n be z(-7). Let l = n - -11. Solve l*u - 16 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519906661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(605) + -2 - sqrt(605)) + 0)**2 - -5*((4 + sqrt(320))**2 + 2).\nAnswer: 540*sqrt(5) + 16819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfxfpffgpfgxgj. What is prob of picking 1 f and 2 p?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Let v = t - 2. Suppose -8*w - w + 27 = 0. Which is the fourth smallest value? (a) 4 (b) w (c) v (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -811*s - 7062. What is h(-9)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*b - 7*m + 2*m, 5*m + 10 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + b**2 - 2 + (1 - b**2 - 1)*(-3 - 2 + 3) + 6*b - 6*b - b**2 to i + v*b + d*b**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4377*i - 19229 = -4664*i for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 180 and 11896.\nAnswer: 12076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 - -0.5. Let q = -7 + 11. Which is the closest to r? (a) -3 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 48 - b**3 - 7*b + 2*b**2 + 24 as z + k*b**2 + d*b + m*b**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -86, 54 in decreasing order.\nAnswer: 54, 5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1410, -806, -200, 408, 1018?\nAnswer: 1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174*(-8)\/64)\/((-2)\/(((-36)\/27)\/(-2))).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357 - 167 + 524 + 9*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.1020931 from -21784.\nAnswer: -21786.1020931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 29. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 26, 0.34268 in descending order.\nAnswer: 26, 0.34268, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 490 and 147?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -16)*(-18)\/105?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -2, 1, 4, 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g**2 - 18*g - 167. Determine i(-5).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114410501 + 2?\nAnswer: -114410455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, j: 2, x: 3, b: 6}. What is prob of sequence gbbx?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.578 rounded to 1 dp?\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 79.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 713393\nAnswer: 142678.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 17*p = -12*p + 8, 3*p - 143 = -149 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -174, -162, -146, -126, -102, -74?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*n + 4 = 184*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100 - -110000011111111111000?\nAnswer: 110000100000000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 + 2*a + 2. Let f(d) = 10*d**2 - 5*d - 5. Let y(q) = -4*f(q) - 10*o(q). Let j(z) = -z. Give y(j(u)).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**3 - 4*r**2 - 3*r + 2. Let f be b(4). Does 11 divide 3\/(-7) - f\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/26*2\/(-39).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275746 is divided by 13016?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -1\/6*o**4 - 2\/3*o**3 + 1 + 1\/60*o**5 + 0*o + o**2. Let c(k) be the second derivative of j(k). Determine c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -10, 2491, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/68010 and 17\/207.\nAnswer: 4692690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = u + 2. Suppose 0 = 4*d - 21 + u. Let r = 132 - 120. Solve -3*a = f - r, d*a - f = -a + 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*sqrt(18).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 2.1 (b) 2 (c) -1.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*u + 5*m + 6948, -2*u + 3480 = 4*m. Calculate the remainder when u is divided by 869.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 5. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*(-22 + 40). Solve -4*i - 4*m = -c, -2*i + 2*m + 13 = -3*m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 0*g + 4*g - 2*g. Let u(k) = 5*k - 33*k + 40*k. Give u(x(l)).\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*r - 4*r + 5, -2*r - 4*a = -20. Let d = 2 - r. What is the third derivative of -3*i**6 + i**5 + 2*i**5 + 3*i**d - 3*i**5 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 12:58 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 9 + -14 + 11 + (-13 - 1)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 4. Suppose -2*l + 4 = -l, 2*z - 5*l = -180. Let n = -77 - z. Give p(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68.138159 - -0.849641. Let q = -69 + t. What is q rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 16\/3 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171197520 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9331.428 decades in millennia?\nAnswer: 93.31428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 17980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67693562*j**2*m - 4*j**2 - 185665505*m wrt j?\nAnswer: -135387124*j*m - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f = 0. Suppose 5*u - 44 + 14 = f. Suppose -u*p + 10 = -p. Solve 0*k = p*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 16 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 23*q - 35. Give c(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, 1\/9, 2.8 in descending order.\nAnswer: 2.8, 1\/9, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 41*d - 17. Let k(l) = -4*l. What is k(j(o))?\nAnswer: 8*o**2 - 164*o + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 9. Let u be n(1). Let j(s) = 11*s - 73. Calculate the remainder when 103 is divided by j(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -604 divided by 393406?\nAnswer: -302\/196703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/13)\/((-19008)\/(-411840))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 11*x - 20. Let s(m) = m**2 + 19*m + 4. Let d be s(-19). Let w be t(d). Solve -w*g = -3*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 18205\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1101 and 35877186?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + c + 178 + 50 = 0, -3*q + 349 = 2*c. List the prime factors of q.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 + u - 1. Is i(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/36 (b) 5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44.839 and 11?\nAnswer: 493.229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 - 3)*(8 - 8 + 6*k**2) - 5*k**2 - 20 + 20)*(-32*k**2 - 40*k**2 - 6*k**2) to z*k**2 + f + r*k**3 + y*k**4 + a*k and give y.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/65 and -9\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3574809 is divided by 714930.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q + 35. What is h(-12)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -96844460, -193688918, -290533376, -387377834, -484222292, -581066750?\n\"Answer: -96844458*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15329 (base 15) to base 5\nAnswer: -4140324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = 3*o - 1726. Suppose -o + 26125 = 4*h + 5*p, -h = 4*p - 6337. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1702 - 1608. Calculate the remainder when 363 is divided by r.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2062 and 111467596?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o - 10*o - 2*o)*(2*o**3 - 3*o**3 + 0*o**3)*(-6*o - 6*o + 3*o).\nAnswer: 27*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123091 - 65759 = 3*k. Let j = -162950 - k. What is j rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -180.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + 6*(-1 + sqrt(243))) - 1*(sqrt(243) + 1 + 1 + -3))**2.\nAnswer: -3150*sqrt(3) + 297700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -6, 2\/3, 0.2, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, -435735, 0.4?\nAnswer: -435735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 44.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*-4*((sqrt(84)*1 - sqrt(84)) + sqrt(84)))\/(5*-6*(sqrt(588)*2 + sqrt(588) + sqrt(588) - sqrt(588))).\nAnswer: -16*sqrt(7)\/315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4965 and 125780?\nAnswer: 377340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 312359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 899759 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 6. Let g(i) be the third derivative of 2\/3*i**3 + 0*i + i**2 - 1\/6*i**4 + 0 - 1\/60*i**5. Determine g(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 plus -76252083.5?\nAnswer: -76252008.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -29 - ((7 + 6 - 12) + -1)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -10 + -2 + 111 - 10. Solve 146 = -11*p + g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 - 71 + 8)*(1 - 1 - 2*r)*(-r + r - r) as f*r**2 + a + t*r and give f.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 19. Let x be u(18). Let y(q) = 103*q**2 - 5*q - 6. Let j be y(x). Calculate the highest common divisor of j and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -6, 6, 20, 36, 54?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 87*g + 339. Let o be k(47). Calculate the highest common factor of 470 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9295*m**3 + m**2 - 7*m + 3. Is z(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 6293, 5 in increasing order.\nAnswer: -10, 5, 6293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 28. Suppose 5*g - 661 + 271 = a. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -0.5, 0.03, -0.02, 0.01, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 + 80. Let w = p - -15. Let r = -52 - w. Which is the third biggest value? (a) 2 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 34081872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3300 - -2256. Let d = t - -1495. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 922063 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845724 is divided by 93966?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-2)\/28*1). Suppose -5*x + x + y = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 11 = 5*k, 3*j + 5*k - 4*k = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -45. Suppose 0 = -3*h + b - 2. Suppose -h*y + 35 = -55. What is the highest common factor of y and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 37*q**2 - 16*q - 75. What are the prime factors of v(-5)?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 10 + 10. Let n be -1*((-4 - q) + -1). Suppose -j + 16 + 6 = n. What is the highest common factor of j and 132?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/105 and -139\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 91*u**3 + 0*u - 2 + 2.\nAnswer: -91*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 97847851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 456907 (base 13) to base 3\nAnswer: 10002110100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**2. Let s(j) = -5*j - 4. Let f be 40 - 34 - (-2)\/(-2). Let h(p) = -10*p - 10. Let x(c) = f*s(c) - 2*h(c). What is y(x(v))?\nAnswer: 275*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*v - 4*r, -5*v - 4*r - 31 = -0*r. Let m = -44 + 8. What is the common denominator of m and 39\/5 - 6\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*m**2*x**5 + 3*m**2*x**3 + m**2 - 15*x + 1 wrt x?\nAnswer: -120*m**2*x**3 + 18*m**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3625 and 17429899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 10, 3*o - 213 = 3*d + 150. Calculate the remainder when o is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04119 + 3.95881. Let i = -21.66 - -22. Let l = i - -0.06. What is the second biggest value in 2, l, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -11, -45, -117, -239, -423, -681, -1025?\n\"Answer: -2*o**3 - o**2 + 9*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -298*r - 4. Let w(p) = 297*p + 4. Let u(s) = -2*a(s) - 3*w(s). Is u(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 4, l: 4}. Give prob of picking 1 w and 1 l.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126315 and 3395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3\/7 + 1844*s**2\/7 - 48380*s\/7 - 50228\/7 = 0. What is s?\nAnswer: -1, 29, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5*q - 3. Let g be f(-6). Let n(m) = -2*m**2 + g*m - 3*m. Let r(k) = 6*k**2. Calculate n(r(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15629 - 15579. What is the remainder when 210 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3420 and 86935260.\nAnswer: 260805780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:21 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/((-11)\/(-198))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**3 + 2*z**2 - 2. Let h(s) = -19*s**3 - 10*s**2 - 2*s + 5. Let c(j) = h(j) + 5*x(j). Let i(y) = -y**3 - 1. What is c(m) + 2*i(m)?\nAnswer: -m**3 - 2*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or -41557?\nAnswer: -41557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 372*f**2 + 5*f - 7. Let b be n(-7). Suppose -b = -52*k + 38*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*l**4 + 2*l**3 - 2*l**2 - 4315*l - 424981 wrt l?\nAnswer: 68*l**3 + 6*l**2 - 4*l - 4315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.88 - -2.88. What is the smallest value in 0, -3, -13, i?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1045 and 4598.\nAnswer: 22990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -140 and 26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -65. Suppose w - 5 = 0, -7*g - 5*w = -11*g - 57. Let q be x\/21 - g\/(-28). Solve 0 = 3*f - 2*i + i + 10, q*f + 4*i + 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysyqsp. Give prob of picking 1 q, 1 p, and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.6 + -42.6. What is the biggest value in -30, -0.4, t, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {u: 3, v: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 - 40188304*h\/5 + 201887472299552\/5.\nAnswer: 2*(h - 10047076)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-72) + (-17)\/8. Let d be (-6)\/l + (-27)\/15. What is the second smallest value in -2, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9 - (-4 + 6))*-5 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*d + 12. Let b = 10 + d. Solve -2*z = 2*i - 0*z, 9 = -i - b*z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**4 - 4*x**4 + x**4 + (1 - 1 - 2)*(2 - 4 + 6)*(-2*x - x**4 + 2*x + (-6*x**3 + 28*x - 28*x)*(x + x - 4*x)).\nAnswer: -87*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 21. Let f be (35 - 13)*22\/(-4). Let n = -2781\/23 - f. What is the third smallest value in n, 0, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1676878 is divided by 11177?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 - 5*k**2 - 4*k**2 - 8*k**2 - 2*k + 15*k**2. What is l(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 54 = 4*h. Let w = 37\/2 - h. Factor -3\/4*z - w + 1\/4*z**3 + 0*z**2.\nAnswer: (z - 2)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1056\/462 + 27696\/84)\/(-4)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - c + c)*(4*c - 7*c + 2*c) + (-14*c - 7*c - 42*c)*(0 + c + 0) in the form h*c + b*c**2 + y and give b.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 1065600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + (-4 + sqrt(260)\/sqrt(5)*1)*-1 + 2)**2.\nAnswer: -20*sqrt(13) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-12)*(-544)\/(-1020).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 = -5*d - 5962*x + 5966*x, 6*x = 2*d - 392 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**2\/7 + 120*b\/7 - 117\/7 = 0.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 5) to base 13\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 * 2397.35.\nAnswer: -1054.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(288))**2 + (3*-1*sqrt(288))**2 - -6*((sqrt(2592) + -1 - sqrt(2592)) + 2*sqrt(1152)).\nAnswer: 288*sqrt(2) + 3737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 47 - 2*g - 77.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 16. Let y be b(7). Let r = 15 + -12. Solve -r = -j - y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 5*a - 6. Let v be c(6). Suppose -186 = 116*m - 113*m. Does 15 divide v - m\/(-4)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*f - 53, -3*f - 6 = -0*f. Suppose -5*p + k = -2*p. What is the second derivative of -z + 2*z**5 - 3*z**2 + p*z**2 wrt z?\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 79*l**2 + 68 - 3*l**2.\nAnswer: 76*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 143474.\nAnswer: -5\/143474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 13*r = 163889. Suppose 5119 = -15*a + r. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-328)\/(-8) + 0 + 4. Suppose -2*u - u = -o. Let p = -39 + u. Sort 5, p, -4, 4.\nAnswer: p, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.94455 milligrams in grams?\nAnswer: 0.04194455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 7. Let o be b(10). Suppose 7600000 = o*x - 4*x. What is x rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18728 and 102095692?\nAnswer: 204191384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 5. Let u = -22 + 22. Let i be b(u). Let s(o) = -13*o. What are the prime factors of s(i)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*m**2 + 333*m**2 - 637*m**2.\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yey when three letters picked without replacement from {k: 2, y: 3, r: 3, e: 2, z: 6}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5011200 and 11520.\nAnswer: 5011200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -1\/6*j**3 + 0 - 3*j - 3*j**2. Let o be ((-6)\/(-4))\/((-9)\/(-6)) + -7. What is i(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 47663.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 - -0.01. Let w = -2.745 - -1.745. Which is the nearest to w? (a) 3 (b) f (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {k: 2, e: 2, g: 1, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2055 divided by 3\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 12*f**2 + 142*f + 11. What is a(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 127. Let u be y(0). Let i = u - 72. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 12:23 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 2*n - 2. Let d(v) = 101*v**3 - 6*v**2 + 12*v - 12. Determine -6*c(o) + d(o).\nAnswer: 101*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 3*j = 19*s - 4*s, 0 = 2*s - 5*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.062, -22, -5, 2, -3, -1.3?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 9*l**2 - 7*l + 10. Let x be v(8). Factor -x*w**3 + 3*w**5 - 5*w**5 + 20*w**3.\nAnswer: -2*w**3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 506723 divided by 30\nAnswer: 506723\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 24384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71347174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42280 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2142112642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8471569l in millilitres?\nAnswer: 847.1569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -12*b + 3*b. Suppose 4*w - 57 = 4*n - 197, -3*w + 80 = b*n. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 628\/7 + -90. Let j = 3 - 5. Let q be 1\/j - 4\/8. Which is bigger: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n)**(-39)\/(n**(-5)\/(n*n**(-3\/4))) assuming n is positive.\nAnswer: n**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from brhchch.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/18*(-2)\/(-64)*-24?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307256 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1936581 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 27 + 10 + 3. What is the highest common divisor of 651 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from aaattaaaaatata.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide -1 - (-39)\/(-33) - -2 - (-23940)\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/3186 and -35\/46.\nAnswer: 73278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 23 + 0*u + 5 + 15 - 2*u - 1. Let t = 0 + 0. List the prime factors of y(t).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of w**8\/840 + w**6\/120 + w**3\/3 + 4. Let r(n) be the third derivative of y(n). Find the third derivative of r(z) wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 28418.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1))**(-17)\/(a*a\/a**(1\/2))**(-46) assuming a is positive.\nAnswer: a**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 + 0 = 0. Solve n + 2 = p, -5*p - j*n = -6 + 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 5*m + 203, 3*m + 179 = -4*w. Let o = w + 81. Suppose -874 + 869 = -z. Calculate the remainder when o is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 255*s - 550. Let i(p) = p**2 + p - 10. Let t(c) = -g(c) + 20*i(c). Solve t(m) = 0 for m.\nAnswer: 7\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/10)*p**4)\/(p**1*p)**(-24) assuming p is positive.\nAnswer: p**(527\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32798 - 5.36604214?\nAnswer: -32803.36604214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*j + 3*j. Let t be 12*(2 - j\/4). Let c be 63499998\/5 - t\/(-15). What is c rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kks when three letters picked without replacement from {z: 1, s: 1, k: 6, c: 1, t: 4, y: 3}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 3:07 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*s + 16, -5*s - 3 = j + 1. What is the units digit of s + (-3)\/((-12)\/32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-21)*(385\/(-4))\/((-6590)\/2636)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**3*f*g**2 - 2*a**3 - a**2*f*g - 2*a**2*g + 5*a**2 + 3*a*f*g**2 wrt g?\nAnswer: -22*a**3*f + 6*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2049671 and 6.8851.\nAnswer: -2049664.1149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*r + r + 36 = 0, 83 = 5*m + 3*r. Let l be -13 + -5 + 5 + 77. What is the greatest common divisor of m and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 + 11*g**2 + 29*g - 8. Let r be h(7). Suppose -13*l = -7*l - r. Solve l*v - 2*v = 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 35. Let x = -141 + 140. What is the nearest to x in 0.3, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/2 - (-3 - 2). Suppose 0 = -t + 2*y + m*y + 15, 0 = -5*y + 20. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102 < 2286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -498*o**2*p**3 - 3*o**2*p**2 - 3*o**2*p*t - 3*o*p - 19*p**3*t + 16*p**2 - t wrt o?\nAnswer: -996*p**3 - 6*p**2 - 6*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 - m + 1. Let p be j(1). Suppose p = -2*i + 10. Suppose -2*w + 3*d = 2*w - 44, -3*d - 36 = -i*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-6 - -18 - 23) + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.207 - -72.207. Let v = -72.1 + d. Let n = -0.4 + -0.1. What is the closest to v in n, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.92 - 2. Let r = t + -7.92. Let a = r + 8.5. Sort a, -0.3, 1 in descending order.\nAnswer: 1, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + f + 86, 0 = -x + 3*f + 82. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 812 - 491. Let g = t + -224. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 95) + -6 + 1 + -1 + (-54 - -59)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*k**2 - 42088*k + 84174*k - 42086*k - 487*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320855*i**2 - 321010*i**2 + 641870*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-361)\/((-133)\/(-7)) - 2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9360 divided by -3?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(10\/15*3 + -1). Let l be -1 - 2 - (z - -5)\/1. Solve l = 5*x - 0*x - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v + 388. Give k(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-54))\/1)\/((-200)\/(-75)*(-10)\/1560)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/10 and 2 - ((-136)\/(-30) + (-2)\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 5*a**2 - 34. Calculate q(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 = 1. Let j = y - 1. Let s(n) = -4*n - 2. Is s(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, e: 1}. Give prob of sequence bbe.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 660597*j + 3689293 wrt j.\nAnswer: 660597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0.3 (c) 0 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685019 is divided by 2380.\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/((-325)\/10) - (-27300004)\/10. What is s rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -33. Is (-14)\/7 - (-2793 + (3 - x)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288580 and 317438?\nAnswer: 3174380","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -71*p**2. Let b(o) be the second derivative of -o**3\/6 - 14*o - 3. Determine i(b(x)).\nAnswer: -71*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63664 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (1 - 4) + 2176\/16. Suppose -10 = 32*y - k. Suppose -3*q + 2*r = -r - 12, 3*r = -4*q + 16. Solve -h = -1 - y, -b - q*h = -19 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 11. Suppose -8 + y = -4*c. Let h be (c - 4)*(8 + -7). What is the closest to -0.4 in -0.2, 4, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.24 - -0.24. Let j = 7.00055 + x. What is j rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*q + 119*q + 856. Is q < -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (8 - 7) + -7 - (0 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 17*b + f + 9 = 0, 5*f + 7 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 18987 - 4319 = 1880. Is 0 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008901675 rounded to 6 decimal places?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/20 - a**4\/4 + 7*a**3\/6 - 5*a**2 + 2311*a. What is o(5)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 16 (b) -49 (c) -0.5 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21222010201 (base 3) to base 15\nAnswer: -3170a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2. Let v(a) = -7*a - 4. Let b(d) be the third derivative of -d**5\/60 + d**4\/24 + d**3\/6 - 19*d**2. Let p(t) = -4*b(t) - v(t). Calculate w(p(i)).\nAnswer: 32*i**4 + 48*i**3 + 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3967 (c) 3\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**6)\/r**(-2\/15))\/(r**(-1\/4)*r)**(-4\/21))**(-11\/5))**(-33\/5) assuming r is positive.\nAnswer: r**(-60016\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6 times 5.2?\nAnswer: 29.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-5)*2*(-10)\/6. Let k be m\/8*13\/((-65)\/20). Let b be -4 + (k - -4) + 0. Solve 5*o + b = 2*d, 0*d + 20 = 4*d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65985 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -13*u + 31797 - 15880 - 15871. Calculate c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**36*t)*t)\/t**(-3\/14) assuming t is positive.\nAnswer: t**(-487\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 208043*u**2 - u - 195779 wrt u.\nAnswer: 416086*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 4 + 4)*(5529*n - 12159*n + 5308*n).\nAnswer: 2644*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**2 - 4*l**2 + 23*l**2 + (-5 + 5 + l)*(-1 + l + 1) + 2*l**2 - 4 + 4 + 0*l**2 + 6*l**2 - 4*l**2 - 2*l**2 - 3 + 3.\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4975 + 0.0205. Let o = -7461 - -7457.613. Let g = h - o. Round g to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -16607*q. Let p(b) be the first derivative of b**2\/2 + 4392. Give p(o(i)).\nAnswer: -16607*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 751 - 745.89. Let j = d - 0.11. Suppose -3*n = -z + 4, 4*n + z = -7 - 3. What is the closest to n in j, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 102\/119*(7 - 0). Let o(v) = -v**2 + 7*v + 2. Calculate o(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + a + 66, -5*k + 4*a = -103. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**4 + 95*h**3 - 422*h**2 - 2*h + 620682 wrt h.\nAnswer: -4*h**3 + 285*h**2 - 844*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x - 4. Let q(c) = -c + 1. Let a(f) = -2*g(f) - 9*q(f). Let n be a(4). What is the third derivative of -w**4 + 14*w**n - 2*w**2 - 14*w**3 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -17.2. Let w = c - 7.8. Let n = -5.9 - w. What is the nearest to n in -5, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2491, 2495, 2499?\n\"Answer: 4*l + 2487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11749079 at most 11749079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*n**2*o**2*r*s + 41*n**2*r + 166*n*o**2*r - 18*n*o*r*s - 2*n + 8*o**2*s + o - 3*s wrt o?\nAnswer: 10*n**2*r*s + 332*n*r + 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2657673 and 216.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 3*w**2 + 2*w. Let k be l(-4). Let y = -4 + k. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1458*c**3\/11 + 13608*c**2 + 465696*c + 5312384.\nAnswer: 2*(9*c + 308)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/13 + 216\/52. Suppose 4*j - 2962 = 5*i, -z*j + i = -831 - 2139. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 446263862 and 475428.\nAnswer: 446739290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.027580036 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/22 - (-114)\/22. Let w(u) = -u**2 - 15*u - 6. Let q be w(-15). Let k be (-3)\/((q\/5)\/6). Solve v*j + 5 = k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Let b = x - 0. Let o be 17\/(-561)*0*1\/(-4). Solve 2*w - s + o = 3, -s = b*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/13)\/c**(1\/41))\/(c**(-4)*c)**(-5\/14) assuming c is positive.\nAnswer: c**(-4733\/7462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -17, -1\/2, -56, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 95, 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = 22*v + 13*v. Let z be (7 + 68\/v)*(-3 + 1). Let d be (3 - 2)*1*11. Solve -3*t + x = -0*x + d, z*t = 2*x - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4240?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55 - 15 - 35) + (0 + -22 - 2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d + 18*d + 0*d - 2*d - 2 to the form p + j*d and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 - -212. Let n(o) = o**3 - 23*o**2 + 15*o + 171. What is the remainder when g is divided by n(22)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2048 + 149*t**2 + 2048)*(-43 + 34 + 51)*(5*t + 2*t**2 - 5*t).\nAnswer: 12516*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3942)\/210 - (40 + (-8445)\/210)\/(3\/8).\nAnswer: -91\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 5*l - 1. Let i be a(6). Suppose -5*v + 8 = -v. Suppose -i = v*p - 3*p. Solve -p*s = -k + 5, -4*k - 5*s - 8 = -3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 9*g**2 + 33*g - 36. Let t be j(-12). Do t and -106\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.673 to one decimal place.\nAnswer: -35.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c - 175. Let p(r) = -r**2 - 9*r**2 + 7*r**2 + 4*r**2 - 3*r**2. Determine p(s(g)).\nAnswer: -98*g**2 + 4900*g - 61250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*d**3 + 3 - 3 - 147*d**3 + 393*d**3.\nAnswer: 121*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 15*u**2 + 15*u + 22. Let x be c(16). Let i be (-321)\/9 - 2\/x. Let t be (i\/(-20) + -2)*-5. Which is greater: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**6 + 2*p**2 - 13*p**3 + 541 - 541 + 5*p - p**2 wrt p.\nAnswer: -240*p**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 53926*q**2. Let t(i) = -14*i**2. Give w(t(p)).\nAnswer: 10569496*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10716 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 19*y + 43. Let v be d(21). Let i = -13 - v. What is the units digit of 5 - 7\/(i\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**3 - 2*u - 3. Suppose 5 = -3*w - 2*o, 5*w - 295 = -o - 308. Let b(r) = r**2 + r + 1. Give w*b(y) - k(y).\nAnswer: -5*y**3 - 3*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70.275 + -69. Let u = w - 0.075. Sort -2, u, 1\/4 in increasing order.\nAnswer: -2, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = z - 4*d, 0 = -3*z - 0*z + 5*d + 23. Let h be 2*3\/z*(8 + 2). Solve -4*x + 2*x - h = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**3 + k**2 - 2*k + 1. Let g be i(1). Let w(b) = -3 + g*b + 2 - 5. Let d(s) = s - 2. Calculate -7*d(z) + 2*w(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 708.1586 + -0.1586. Let k = q - 739.9. Round k to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1030\/27 - 93736\/2457. Let c = p + -2447\/4095. Put 0.11, c, 3, -2\/3 in increasing order.\nAnswer: -2\/3, c, 0.11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k**2 + 2. Let b(h) = -8*h - 323. Let c be b(-41). Let u(a) = 5*a**2 + a**3 + 1 - 9*a - 4*a**2 - 4*a**2. Let t be u(c). Determine g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 5795*l**2 - 57495*l + 51705.\nAnswer: -5*(l - 1149)*(l - 9)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(324) + sqrt(36) - sqrt(36))\/(sqrt(588)*-2 + sqrt(588)).\nAnswer: 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -129 - -3155?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - n - n**2 + 4*n + (-2*n - n + 4*n)*(4 - 4 - 3*n).\nAnswer: -4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 121*z**2 - 52*z - 160. Is q(-4) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 1\/10*a**5 + 135*a - 1\/21*a**7 + 0 - 1\/4*a**4 + 0*a**6 + 2*a**2 + 0*a**3. What is the third derivative of p(v) wrt v?\nAnswer: -120*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 6*g**2 - g - 5. What is the tens digit of r(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(62 + 29 + 48)*(24*j - 6*j + 20*j) to p + i*j and give i.\nAnswer: 5282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 331*r + 159. Let b(d) = -1654*d - 797. Let g(p) = -4*b(p) - 22*j(p). Differentiate g(i) wrt i.\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46174879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4530 and 2400?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -2576425\nAnswer: -5152850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 16 + -7 - ((-9 - -7 - -6) + 47)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 4*r - 2 = 0, 3*r + 9 = 4*m. Let l(j) = -2*j - 68. Let n be l(-35). Solve -m*d + 8 = -n*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.2 (b) 1\/4 (c) -14.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*w + 2*s - 92, 2*w - 2*s = 64. What is the highest common factor of 31 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -1\/4, 13, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7340 = -2*p - 2*x, 0 = p + 7*x - 5*x - 3669. Solve -93*a + 1769*a**2 + 2787 + 330*a**3 + p*a**2 - 237*a - 8232 + 5*a**4 = 0.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -562 + -3?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39873836?\nAnswer: 2, 401, 24859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 110\nAnswer: -3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4779636 is divided by 41926?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*x**3 - 258*x**2 - 639*x - 162 = 0. What is x?\nAnswer: -9, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4811 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8371 - 83603\/10. Let r = 1535 - 6185\/4. Calculate the common denominator of k and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3651*v - 7746 + 72270 - 25664 + 45113 = 0 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 5 - 18 + 4 + 8 to the form p*z**2 + f + x*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 4:36 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/1 + (-312)\/24. Let d(f) = -2*f - 13. Calculate d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -512*a**4\/9 + 37376*a**3\/3 - 1023168*a**2 + 37345632*a - 511168338.\nAnswer: -2*(4*a - 219)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(0 - (-3)\/(-6)). Sort d, -1\/2, 0.2 in decreasing order.\nAnswer: 0.2, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.6 - 9.601336. What is k rounded to five dps?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Let j(p) = p + 1. Let y be j(c). Suppose 0 = 2*f + 3*l + 3, y*l = -2*f + 3*f - 15. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1*-2 + sqrt(132) - sqrt(132))\/(sqrt(4) - -1*sqrt(12)\/sqrt(3) - sqrt(4)))\/(-5*(sqrt(44) - sqrt(88)\/sqrt(8))) + -4.\nAnswer: -4 - 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98839 = 4183*k - 13477*k + 170411 + 353448 for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 25370*f + 126816. Calculate s(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbnn when four letters picked without replacement from {k: 5, n: 2, b: 7}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/3, 0, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 26. What is l(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21102211 (base 3) to base 12.\nAnswer: -317a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t*t**7)\/t))*(t\/(t*t\/((t*t**(-6))\/t)))\/t)**(-4\/17)\/((t**(-1))**(-5\/6)*t\/(t*t*t*t*t**(-4))*(t**(2\/9)\/t)\/t) assuming t is positive.\nAnswer: t**(55\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -144, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -82888160, -165776315, -248664470, -331552625?\n\"Answer: -82888155*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-495)\/(-88))*(2 - 4 - -1)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2*o - 2 + 25 = 0, 4*n - 16 = -4*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(24\/18 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 0 + 2)*-3 - (5 + (sqrt(128) - (sqrt(128) + 0)*-4 - sqrt(128))))**2.\nAnswer: 1232*sqrt(2) + 6393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-11))\/(4924\/216656).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*z*z*z*z\/z**(-4)*z)*z*z**(-31)\/z assuming z is positive.\nAnswer: z**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 22800 - 3246 = 0. Let n = j - 2093. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27902, 27911, 27916, 27911, 27890, 27847?\nAnswer: 27776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -7147?\nAnswer: -7\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 13384.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125268857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -81. Is (8 - -3)\/(o\/4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 8.5, 13, 0.2, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 2. Let w be (-1)\/4*1 + 96\/(-128). Let n be ((-8)\/6)\/((-1)\/3). Let i(s) = -s. Determine n*i(x) + w*l(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(18\/6)*289\/(-34).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, 0, -2.2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 + 1010011101000?\nAnswer: 1010100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-20))\/(50\/250)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (258\/86)\/(45\/12).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.8225*152\nAnswer: 125.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11689300 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/(g\/g**(-28)*g)*g)\/(g*g**(2\/3)*g)*(g**(1\/8))**(-17) assuming g is positive.\nAnswer: g**(-715\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*x - 209*x - 199*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 12*p**2 - 6*p. Let w(x) = -23*x**2 + 11*x. Suppose 3*t + 13 = -v, 5 = 3*v - 10. Calculate t*w(y) - 11*o(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -55. Let a(x) = -4*x**2 - 6*x. Determine a(j).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 take away -1104.0390568?\nAnswer: 1106.3390568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2070 and 8280?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/6097 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**7\/210 + t**6\/120 - t**5\/3 - 5*t**2 + 150*t. Factor z(u).\nAnswer: u**2*(u - 4)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*o - 2 = 0, -2*r = 5*o - 76 + 45. Sort 1, 1\/2, r, 0.2 in descending order.\nAnswer: r, 1, 1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 + -362?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6880807 a multiple of 333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**5\/7 + 64*x**4\/7 + 356*x**3\/7 + 824*x**2\/7 + 816*x\/7 + 288\/7 = 0?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*(-11)\/((-110)\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 925) + 114 + -106 + -1*2. Which is bigger: q or -915?\nAnswer: -915","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*p**5 + 1809*p**4 + 4413*p**3 + 3891*p**2 + 1152*p + 108 = 0.\nAnswer: -3, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1516573 or -1516570?\nAnswer: -1516570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brpbsxbb. What is prob of picking 1 s, 1 r, and 1 p?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40206.436 - -38103.5. Let a = 2094 + v. Let o = a + -0.164. What is o rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9993410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 2*u**2 + 0*u)*(-u + 1 - 1 + (-2*u - u + u)*(-2 + 4 + 0) - 153 + 6*u + 153).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, g: 7}. Give prob of picking 1 g and 1 n.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q**2. Let t(b) be the first derivative of -10*b**3\/3 - 62. Determine t(v(z)).\nAnswer: -640*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**4\/4 + 2*y**3 + y**2\/2 + 2*y + 1665. Let d(a) = -a**3 + 2*a**2 - 3*a. Let v be d(2). Calculate g(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(114\/56 - 2). Suppose -3*d = -3*p + 24, -16*d - u = -4*p - 13*d. Solve c - 3*z + 2 = -c, 0 = -4*c - p*z - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.0725?\nAnswer: -0.3625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4 - 414*l**3 + 3784*l**2 + 1276416*l - 3852288 = 0.\nAnswer: -48, 3, 76, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-4 + 3)*1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218930 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22471091.\nAnswer: 19, 1182689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 123 - 37 = 0. Let d = m - 20. Let f be d + -3 + 2 + 0. What is the greatest common factor of 33 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*y = 1270 - 1302, 43*y = 430 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - ((-21)\/7 + -8). Solve -2*i + 4*d = -8, -i + v*d = 3*d - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (226\/791)\/((-18)\/(-14))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9477.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -29906 and -9385.15511.\nAnswer: -39291.15511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33382394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 478624536 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2410 - 2392. Let n = 109 + -20. Suppose 2*z - 2*a - a = 60, 3*z - 4*a = n. Calculate the least common multiple of f and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8797, -17587, -26389, -35209, -44053, -52927?\n\"Answer: -v**3 - 8783*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 182?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12, -27, -36, -33, -12, 33, 108?\n\"Answer: t**3 - 3*t**2 - 13*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2367050 divided by 5\nAnswer: -473410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/2))**33\/(g*g**(-1\/4)*g)**(2\/43))**9)**(-6\/5) assuming g is positive.\nAnswer: g**(-38124\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-44 - (54 - 100))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.2, -0.1, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 808 - 899. What is the highest common factor of 663 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n + 0*n - n)*(3 - 3 - 1) + (0*n + 3*n + n)*(54 - 8 + 16) to l*n + p and give l.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -4, 27 in descending order.\nAnswer: 75, 27, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 6 = -5*x, 2*x = -4*a - 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -795 + 800. Solve g - 8 = -a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**8\/168 + q**6\/20 - q**5\/15 + 7*q**2. What is h in p(h) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 60*n + 30. Let v(t) = -3*t**2 - 54*t + 27. Let z(q) = 9*l(q) - 10*v(q). Let s(a) = 794*a. Give s(z(r)).\nAnswer: 2382*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*9347\nAnswer: 4673.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 - 2)*(-5 + 1 + 2)*(4 - 2 + 0)*(62 - 62 - 126*m**3) to q*m**3 + a + n*m + i*m**2 and give q.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3768333*p**2*s**3*t - 4*p**2*s**2*t + 2*p*s**3*t**2 + 158*p*t**2 - 91*s**2*t**2 wrt s.\nAnswer: -22609998*p**2*t + 12*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1851860?\nAnswer: 2, 5, 92593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/14*(-2310)\/3960?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 4*y + 6. Let g = 28 - 27. What is the highest common divisor of g and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 15154146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4105842.19 - 185661908.81. Let x = -189766960.00343 - j. Let f = -791 + x. Round f to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -23, 9, 79, 199, 381?\n\"Answer: 2*p**3 + p**2 - 11*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) -98 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0090601 centuries to years.\nAnswer: 0.90601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -740894 and 2?\nAnswer: 740896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*n - 3*n**2 - 55*n)*(-98*n - 11*n**2 + 44*n + 53*n).\nAnswer: 33*n**4 + 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4 = -4*j - 2, o - 22 = 5*j. Let v be 1\/2 + 9\/(-2). Let n = 3 + v. Put n, -5, j in increasing order.\nAnswer: -5, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 11*y - 861. Which is greater: 38 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484300181 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24185952 divided by -56.\nAnswer: -431892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**5\/60 - j**4\/12 + 5*j**3\/6 + 32*j**2. Is 3 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4 - -5.4. Let c = -1496\/9 - -989\/6. Let y = 8\/9 + c. Put y, -1\/4, i in decreasing order.\nAnswer: i, -1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2131 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5328 - 5328.7862. What is a rounded to 2 decimal places?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) + 56\/12. Suppose -4*q + 10 = 2*k, -6*k + d*q = -k + 50. Find the common denominator of 23\/11 and 505\/50 - (-2)\/k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-8)*b))\/(b*(b\/b**4)\/b))\/(b**(-2\/15)\/(b\/(b*b**(-1\/7))))*(b*b\/(b\/(b\/b**(-2\/7))))\/(b*b**(-1\/4)*b)*b**(-7)\/b*b*b**8 assuming b is positive.\nAnswer: b**(4961\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366600 - 12*f - 366600.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 7 - -1) + 10 - 52.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 15. Calculate the remainder when x(4) is divided by (1*-18)\/(9\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/8)\/((-3)\/8). Let k(o) be the second derivative of o**5\/20 + o**4\/3 - 5*o**2\/2 + 2*o + 25. Give k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-670)\/20) + 2\/4. Suppose 4*z - 4*h - 132 = 0, r = 4*z - h - 97. Which is smaller: 34 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b. Let w(i) = 2*i. Let c(t) = s(t) + 3*w(t). Let a(g) = -5*g**2. Calculate a(c(l)).\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 5, 36, 317, -17?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358160 = -34*d + 466272 + 437690. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5054330 (base 7) to base 4\nAnswer: 2102322332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3065737 or -3065738?\nAnswer: -3065737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72402?\nAnswer: 2, 3, 11, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 18\/(-16))*10. Let u = 45074 + -45071. Let y be (-9)\/(-6)*((-112)\/60 - -2). What is the smallest value in y, m, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 30.9. Let g = b + -1.9. Which is smaller: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, -131, -0.671, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 3. Let w(z) = 11*z - 10. Let s be ((-14)\/8)\/((-2)\/(-8)). Suppose b - 2 = 0, 5*b - 8 = 5*i + 12. Let j(g) = i*w(g) + s*q(g). What is j(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 - 3*t + 11. Let z be i(-7). Let h = -117 - z. What is the closest to 0 in 8, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 3248.\nAnswer: 3248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3 + 1827*l**2 - 103443*l + 1487729 = 0?\nAnswer: 29, 1769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0344 - 3.0344. Let j be -3*(-2)\/3*-1. Which is the nearest to -1? (a) 5 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifemfdi. What is prob of sequence ddmd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326861.\nAnswer: 311, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-6\/11)\/f))*f**(-2\/9)\/f)\/(f\/f**(1\/4))**(-8) assuming f is positive.\nAnswer: f**(320\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**5\/20 + 5*m**4\/12 - 2*m**3\/3 + 3*m**2 + 3*m + 3. Let y(u) be the first derivative of o(u). Determine y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.2474 take away 17.62?\nAnswer: -26.8674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38570.\nAnswer: 2, 5, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1\/14, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 + 192 = -u, m - 4*u + 32 = 0. What is the smallest common multiple of m and 6114?\nAnswer: 12228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004118902 to 5 dps.\nAnswer: 0.00412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (46 - 113)) + -45\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8696 - 0.86966309. Round q to six dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b5a - 257?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 30 = -4*b + 10, 3*b = -15. Suppose s*o = 2*o + 6. Sort o, -0.1, -1 in decreasing order.\nAnswer: -0.1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, -444, -283, -3, 0.\nAnswer: -444, -283, -5, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628328 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: Three letters picked without replacement from hhghkhqohq. What is prob of picking 1 o, 1 g, and 1 h?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 243328 (base 10) in base 15?\nAnswer: 4c16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3 = -22. Suppose 279 = 20*b - 261. What is the remainder when b is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 47481729?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/5, 0.4, 0, 0.1, 29419?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6643 + 3*o**4 - 6631 - 2*o + 2*o**2 - o**2 in the form n*o**3 + a*o**4 + f*o + c*o**2 + p and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200)*-2 + sqrt(200))*3)\/sqrt(10))\/(-2*sqrt(576)*4) + 4 + 4.\nAnswer: sqrt(5)\/32 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7214*j + 364662 - 205835 = -432721 for j.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*i - 2, 195*x - 11 = i + 199*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 93, 85, 507 in decreasing order.\nAnswer: 507, 93, 85, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 300.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 1:36 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -2, -5, 16 in descending order.\nAnswer: 16, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/3*-2 + 4. Let p(t) = t + 2. Let y be p(v). Suppose -y*c + 145 = -3*c. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-12)\/(-9)*9. Let o be 93\/(-3 - f\/(-3)). Suppose -2*u + 7*u + 5*g - 235 = 0, -g + o = 2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13925 times 7.3?\nAnswer: 101652.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0428 or 4.4?\nAnswer: -0.0428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 88*m**2 - 55. Let o(u) = 2*u**2 + 1. Give 6*k(r) + 330*o(r).\nAnswer: 1188*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 613.9418 - -0.0582. Let g = 613.999458 - j. What is g rounded to five dps?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (2 - -3) + (1 - -5) - -6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26396?\nAnswer: 2, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 921082775 to the power of 1\/2, to the nearest integer?\nAnswer: 30349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 - 630\/(-50). Solve 3*f - m = -0*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2\/8 - 50931*a\/2 = 0 for a.\nAnswer: -67908, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 7:34 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167932, 1343621, 4534760, 10749073, 20994284, 36278117?\nAnswer: 57608296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.660000849 - 15.66. Round o to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let f be g(-3). Suppose -4*u - 3 = -31. Let i = 13 + u. Solve -f*y - y + i = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 44.40001s?\nAnswer: 44400010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.467 - -5.067. What is the third smallest value in -2\/13, -28, 4, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/10 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 - 3*g**3 + g**3 + g**2 - 2*g**2.\nAnswer: -2*g**3 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6.53*13\nAnswer: -84.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 159 = -6*i. Suppose i + 52 = 4*t + 5*p, 0 = -t - p + 25. Calculate the remainder when 37 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6645886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 93*y**3 + 64*y**2 + 12*y + 1. Let d(w) = 186*w**3 + 138*w**2 + 26*w + 1. What is 6*d(b) - 13*x(b)?\nAnswer: -93*b**3 - 4*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/25)\/((-22)\/10)*104\/52.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128400 (base 9) in base 3?\nAnswer: 10222110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 7*o**3\/3 + 7*o**2\/2 - 86*o + 57. What is the first derivative of z(h) wrt h?\nAnswer: 14*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 24*w - 13*w - 10*w. Let v(j) = 6390 - 9*j - 6390. Determine r(v(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:28 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 2)*(-6 + 4). Let b = 22 - x. Suppose 2*o + 3*y = -b, 3*o = -o - 2*y. Solve 3*r = -9, -o*a + 18 = -5*r + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.04, 21?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5*t - 107 = 0, 13*t - 18*t + 3*t - 48 + 5 = i for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6741.\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n*n*n\/(n**(-2\/7)\/n)*n**(2\/3)*n**6)\/((n**(1\/4))**(-31)*(n**(-2\/9))**(2\/13)) assuming n is positive.\nAnswer: n**(31897\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105124 is divided by 146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -139.792 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/2 - 43495*m**2\/2 + 65246*m - 43498 = 0.\nAnswer: -43498, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001247139707 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -132, -545, -1234, -2199, -3440, -4957?\n\"Answer: -138*s**2 + s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6573, -7, -17 in increasing order.\nAnswer: -6573, -17, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nio when three letters picked without replacement from oiiinnoooionnn.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d - 106 - 86 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 < -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 9:11 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4, 5*h + 5*y - 90 = 4*h. Find the common denominator of -139\/24 and 26 + -24 - h\/51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50, 234, 534, 944, 1458, 2070, 2774?\n\"Answer: -p**3 + 64*p**2 - p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + q**2 - q + 1. Let o be b(1). Suppose 0 = 5*u - 25, -o*s + u + 1 = -0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/15 + 122*b**2\/5 + 724*b\/15 = 0. What is b?\nAnswer: -181, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*n**5 + 49*n**2 - 3 wrt n?\nAnswer: -1800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 14. Let w(m) = -3*m - 2. Give r(w(k)).\nAnswer: 15*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 137 in -5, -177, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 133.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 + 2. Let q be 4\/10 + (-178)\/(-5). Let w = d - q. Calculate the greatest common divisor of 36 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6495\/(-4)*16\/48. Let r = 548 + q. Find p such that 9\/2*p - 3\/4*p**2 - r = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1328592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + 32. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133442540 - 154?\nAnswer: 133442342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 + 78\/(-9). Let a = 7 + b. Calculate the remainder when a + (2 - 4)*-17 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**6\/480 - u**5\/60 + 5*u**4\/96 - u**3\/12 - u**2. Factor r(y).\nAnswer: (y - 2)*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*z - 4*s, 2*s = z + 6*s + 14. What is the closest to z in 3, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1092\/117)\/7*(-3)\/86?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1564 - -1589. What is the remainder when 91 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 822415?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.161, 0, -0.22, 15 in ascending order.\nAnswer: -0.22, -0.161, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/31)\/z*z**(-2\/11))\/(z**(-15\/4)\/(z**(11\/4)\/z)) assuming z is positive.\nAnswer: z**(2989\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*j - 8327 = 117*j + 28556 + 12803 for j.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.321 + 142.321. Let r = 131 - b. Let j = -17 - -16. What is the nearest to r in -2, 0.2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0050504374 rounded to four dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 - -179. Solve -9*u + 5*u = -j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1688*q - 69. Let y(r) = -45*r. Determine y(h(c)).\nAnswer: -75960*c + 3105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 15577.3693 to the nearest integer.\nAnswer: 15577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/4)\/(g**(-2\/11)\/g) assuming g is positive.\nAnswer: g**(107\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 15\/2*f**2 - 14 + 54*f. What is the first derivative of x(k) wrt k?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 612 - 609. Suppose -14*i**2 + h*i**3 + 84*i - 16*i**2 - 7*i**3 + 14*i**2 = 0. Calculate i.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*6\/54)\/((1596\/(-2142))\/38).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -36*x + 131. Let c be f(4). Let a be c\/39 - 15\/9. Let g = -74 - -519\/7. What is the nearest to 0.2 in a, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19998 or 379940\/19?\nAnswer: 19998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110.913 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 43 = r, 4*r = 3*h + 104 - 131 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75115*h - 75116*h - 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1472 and 139\/3237312.\nAnswer: 74458176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 720?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in hours?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 45, 106, 221, 408, 685, 1070?\n\"Answer: 3*l**3 + 4*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71974 - -71973.9865411. Round n to four decimal places.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 957716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/15 and -49\/460353?\nAnswer: 2301765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -3, 1, 9651 in decreasing order.\nAnswer: 9651, 4, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0224311*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54.742 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f**2 + 47*f**2 + 693*f**3.\nAnswer: 693*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*n - k, 3103*n + 3*k + 3 = 3106*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.2, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.4608307 weeks?\nAnswer: 77.4195576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28 + 3*c - 27 - 12*c**2 - 80*c**2 wrt c?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2572, -10498, -23724, -42202, -65884?\nAnswer: -94722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-20))\/(4\/(-10)). Suppose -2*p = q*p - 396. Suppose -2*k - p = -5*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-12)\/7*1*(-2 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8 - 6. Let g = r + 22. What is the remainder when g is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 194 - f**2 + 111 + 83.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5617362 to the nearest integer?\nAnswer: 2370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Let w be 975\/150 + (3 - (-33)\/(-6)). Solve w*k = v - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2, -18, -76, -196, -402, -718?\n\"Answer: -4*l**3 + 5*l**2 - 7*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 2, i: 1, n: 1}. Give prob of picking 1 i, 1 h, and 2 x.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4866 and 349541?\nAnswer: 2097246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*g + 34 = -0, 0 = -3*k + 3*g + 6. Let h be -4*-3*k\/(-18). Let z(r) = 5*r - 2*r + 3*r - h*r. Let l(u) = -3*u. Determine z(l(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Is 5 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soppxvvvpxp. Give prob of sequence xp.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -41. Let j(h) = -q*h + 17*h - 8 - 5 - 6*h**2. Let n(y) = y**2 - 2*y + 2. Calculate -6*j(z) - 39*n(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1368 and -17\/456.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -8 - -11) + 7 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30041 is divided by 3335?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.21 + 0.21. Let s = 11 - 10. Which is the third biggest value? (a) s (b) 3 (c) -5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 20, 25, 32, 41?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33, -113, -247, -435, -677, -973?\n\"Answer: -27*d**2 + d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5762 (base 9) in base 6?\nAnswer: 31432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 1, p: 5, s: 3, m: 3}. What is prob of picking 3 p?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**5 - w**5 - 3*w**5)*(-6 + 3 + 4) + (31*w + 69*w + 10*w)*(5 - 5 - 4)*(-w**4 + 3*w**4 + w**4) - 3*w**5 + w**5 + 0*w**5.\nAnswer: -1324*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25431 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + -4 - (-15 + (-22 - -83)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84724, -84725, -84726, -84727?\nAnswer: -84728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19021 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 - 0.4. Let j = -4.3 - -119.3. Let m = j + -114.7. Which is the biggest value? (a) l (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.9, -4, -5\/4 in increasing order.\nAnswer: -7.9, -4, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 - 81. Calculate the remainder when n is divided by 42.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y. Let a = -9 + 7. Calculate f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(588)*-2 - 6*(-2 + sqrt(192)))**2 + 1)*4.\nAnswer: -279568 + 29184*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16\/5*225\/90\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and -43124?\nAnswer: 51748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-12) + 3613\/3. Suppose 4*t - t - 4*x = j, -5*x = -t + 420. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -7.886. Let b = -0.014 + a. Let i = -1.3 + 0.3. What is the smallest value in b, 1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 50. Let h(r) = r**3 + r**2 - 2*r - 4. Let z be h(-4). Calculate the remainder when n is divided by 3*1*z\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*m + 175 = -0*m, 2*r + m = 83. Suppose -36 - 34 = -5*z. Calculate the remainder when r is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.701 times -7109?\nAnswer: 4983.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/6782967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3133013023 (base 4) to base 12.\nAnswer: 380a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 9 + 45. Let i be 11*(28 - -6) + x. Calculate the greatest common divisor of i and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 280 (b) -4\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -697820034 and -0.095.\nAnswer: -697820034.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*583\/(-17) + (-40 - (-19778)\/493).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18454 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771401.555ms in weeks?\nAnswer: 0.0029289046875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 114. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times 4889?\nAnswer: 264006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -76, -71, 2\/31, 5, -1 in ascending order.\nAnswer: -76, -71, -1, 2\/31, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyyyyykyyyyyyyk. Give prob of picking 2 k.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7537514 + -6251184473300\/829343. Let k = m - -2434499\/9952116. What is the common denominator of -119\/20 and k?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 10:29 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1750448?\nAnswer: 2, 7, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bga when three letters picked without replacement from amaogagbaa.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 f when two letters picked without replacement from lllflfllffffl.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:06 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 346 - 356. What is the remainder when (-4)\/(-10) + (-686)\/u is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7587487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18506 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**2 - m - 1. Let n be j(-1). Let z(q) = -6*q - 1. Let t(p) = 11*p + 2. Let o(r) = n*z(r) + 4*t(r). Let f be 1 + 1 + (2 - 2). Give o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -73. Let r(b) = -b**3 - 2*b**2 - 6*b - 14. Calculate the remainder when c is divided by r(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -12 - 28. Let y = 23 + -19. Calculate the highest common divisor of c and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 6, v: 9, f: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8858 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*i + 5*i + 30 = 0, i - 10 = 3*f. Suppose -236*r + 244*r = 40. Let q be (r - 1) + 1*f. Is -2\/9 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 6269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + (sqrt(1300) - (-2*sqrt(1300))**2*-5) - sqrt(1300))*-4.\nAnswer: -104000 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874.598 - -0.07?\nAnswer: 1874.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 101220020?\nAnswer: -101212220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 97. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59193111 is divided by 77.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8 = -0. Suppose -3*r + 5 = i*r. What is the nearest to r in -4, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*c + 14 = 0, 0 = -4*o + 4*c + 22 - 34. Let s be (1 - -12) + 1 + -3. Let g(m) = -m + 11. Let v be g(s). Sort v, -1, o.\nAnswer: -1, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -8*c + 5*c - 8, -5*c + 16 = -k. Solve -c*y - 8 = -2*o, -4*y + 89 = -5*o + 85 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2653 times -0.3\nAnswer: 795.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1434, 1443, 1466, 1509, 1578, 1679, 1818, 2001?\n\"Answer: p**3 + p**2 - p + 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*u + 7 = 2*g, -4*g + 5*u = -3. Let a(r) = 4*r + 2*r + 10*r - 17*r. Calculate a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4903.982212 + -4904. What is s rounded to four decimal places?\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1747*w + 1751*w = -16, 4*k + 3*w = 9*k - 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 17085 = 3*y - 17069, 0 = -4*k + 3*y + 26 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 397373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28 and 116?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -24?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 23*c + 0*c - 4*c + 4*c**2 + 58*c**3 - 7*c - 10*c as t*c + v*c**3 + y*c**2 + j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 135. Suppose 4*b = -k + 68, 6*k = 2*k - 16. Let i = 18 - b. Does 5 divide o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**5 + 161*s**4\/3 + 531*s**3 - 5043*s**2 + 9720*s - 2700 = 0. Calculate s.\nAnswer: -30, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 265 + -265.0000085. What is x rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_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 c(k) = -k**3 - k**2 + 2*k - 1. Let p be c(-6). Suppose 0 = 9*d - 518 + p. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (sqrt(2) + 2*(sqrt(2) + sqrt(4)\/sqrt(2)))**2*-1)*6*1.\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 42*v + 29*v - 5*v + 6*v + 3*v. Let w(c) = c**2. Give r(w(u)).\nAnswer: 75*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -117\/8?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/13 + 54476*k\/13 - 54474\/13.\nAnswer: -2*(k - 27237)*(k - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -3. Let f(l) = -67 + 2*l + 71 + 4*l**2 + l**3 - l + 0*l. Give f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z - 23. Let u be n(21). Suppose 4*r = 35 + u. Let x = -19 - -118. Calculate the greatest common divisor of x and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -286.1 - -286.1. What is the nearest to 0.02 in k, 1, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 5*g - 2*g + (-g + 3*g + 0*g)*(-4 + 3 + 2))*(1 - g - 1 + (0 + 1 - 3)*(g + 0*g + 0*g) + 0 + 0 - 2*g + 2 - 2 - g) to u*g**2 + z*g + p and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001580734 to six dps.\nAnswer: -0.001581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03 and -0.494.\nAnswer: -0.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 50 = 7*t. Let p = -25 + t. Suppose -a + 1796614 - 5696614 = p. What is a rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*o + 1567*o - 534*o - 533*o.\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 - -84.62. Let n = g - -0.38. What is the closest to -0.08 in -1\/3, -5, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 13) to base 4.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/9 - 8\/(-12). Suppose -22 = h + 5*a, -3*h + 24 + x = -5*a. Sort 0, h, -8, 1 in increasing order.\nAnswer: -8, 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + w)*(779 + 782 - 1945).\nAnswer: -384*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 43 (c) -0.4 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.28 + -12.38. Let n = 11 + t. Let b = n - 0.922. What is b rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 11:04 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(5)*-2)**2 - (sqrt(5)*-2 + -2).\nAnswer: 2*sqrt(5) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007869575581 rounded to six dps?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2062579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*a**2 + 286417 + 30*a**2 - 286413 - a to v*a**2 + y*a + m and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41 + -3.41. Let r = -95 - -383\/4. Which is the closest to -1\/4? (a) r (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(31\/(1984\/80))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*g + 16 = f, 3*g - 80 = -5*f. Let p = f - -10. Find the common denominator of p and 139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 24*i + 46. Let d be s(-32). Let a = d + 641. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3ace20 (base 15) to base 9\nAnswer: -5280323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2722, 3123, 4230, 6403, 10002?\n\"Answer: 60*i**3 - 7*i**2 + 2*i + 2667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + f + 3*f + 116 = 0, d = 3*f + 25. Let x = d + -27. Suppose -5*r + 10 = -5*p, 7 = -x*p + 5*r - 6. Solve 7*y - p*y - 12 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v + 17 = 24*v - 4*s, 0*s = 4*v - 2*s + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48.2 - 50.2. Which is the nearest to 1\/19? (a) -1 (b) 2\/9 (c) z (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6756 and 594?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - -116. Suppose 137*z - 69*z - 38*z = 2070. What is the remainder when k is divided by z?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.9999998 - 25. Round p to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1235 is divided by 385?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 62345 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 97\/13 (b) 1 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3005 is divided by 143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 8\/53339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/6)\/((-2)\/4). Let s be ((-16)\/(-48))\/(g\/(-6)). Which is the smallest value? (a) -1\/2 (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 7*o - 3. Let h be d(6). Solve 3 = -3*y - 5*w - 11, h*y + 2 = -2*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (114\/133)\/(4\/7). Let w = 162 + -645\/4. What is the second smallest value in w, -2, 4\/7, p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465 + 460 - (0 + 1 + -22).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314338?\nAnswer: 2, 73, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + -3 + 6 + 13. What is the highest common factor of w and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2 + sqrt(80))*-6 + sqrt(80))**2.\nAnswer: -480*sqrt(5) + 2147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*((2\/50)\/(-1))\/((-228)\/(-39520)*52)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -401a - 0?\nAnswer: -401a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 2\/3*w**4 - 1\/20*w**5 + 0*w**3 - 5\/2*w**2 + 0 - 115*w. Give r(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -6, -2, 1 in increasing order.\nAnswer: -6, -2, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-48))\/(-51))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176625091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1769, -345, 2043, 5401, 9735?\nAnswer: 15051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1da (base 15) to base 7.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 16*d - 50. Let y be b(5). Sort -3, 14, -1, y.\nAnswer: y, -3, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1030.7 + 1025.7. What is the closest to -2\/13 in -0.1, d, -49, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s = 21*s - 3 - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490334 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 872208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8993 + -8789. Solve -24*a = 10*a + m for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (324\/144)\/(9\/2)*(-20)\/(-2). Solve -z*l = -20*l - 45 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*i = -20. Let q be (30\/i)\/(1\/2). Suppose -4*y - 2*n + 22 = 0, 7*n = 4*y + 2*n - q. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8554, -7987, -7422, -6859, -6298, -5739, -5182?\nAnswer: -4627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 235.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzg when three letters picked without replacement from zgggzzzgggzzgggggzg?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7304064 and 4.\nAnswer: -29216256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(68))\/(-6*(sqrt(64) + sqrt(4))).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1200\/(-10))\/(-20)*2\/(36\/15). Put 78, o, 4, 1 in descending order.\nAnswer: 78, o, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-8 + -20) - -3) + -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -459 + -1458. Let o = z - -2818. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640.8518 years in millennia?\nAnswer: 0.6408518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149673017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -614, -231, 152?\n\"Answer: 383*t - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -1) + 331 + -310.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 170 - 25 - 38)*(-3 + 4*q + 3) as r*q + w and give r.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -59 (b) -2\/15 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 11. Let m be ((-33)\/22)\/(1\/a). Let f be 7 + m + (-1 - -10). Solve o + f = p, -3 = -0*o + 3*o + 3*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 4 = 82. What is the greatest common divisor of 65 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*j - 5*n + 4*n, -4*j + 28 = 5*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5034098024 to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -t + 2*y + 209, -3*t = y - 606. Let i = t + -1241\/6. What is the common denominator of i and 118\/(-44) - (-1)\/(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2701.171 litres?\nAnswer: 2701171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven halves of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1285*d**3*k**3 - 3*d*k**2 - 37*k**3 - 69*k wrt d.\nAnswer: -3855*d**2*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -8, -1\/6, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 6*c + 132. Give i(-22).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 8}. Give prob of sequence xxj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 + -340. Let u = s + 205. Which is the second smallest value? (a) -19 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31155 and 19189?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2459876 by 3917.\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*c**3 + 69*c**3 - 79*c**3.\nAnswer: 456*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-33) + (-2)\/11. What is the tens digit of l*(0 - -2) + 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 32. Let b(p) = -p + 1. Determine -3*b(z) + m(z).\nAnswer: 2*z + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -576*l + 2130*l - 646 - 657 wrt l.\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*y + 5*n, 3*y + 0*n + 12 = 5*n. Differentiate -y - 3*b**2 - 2 + b**3 + 3*b**2 wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -757*d - 13626. Determine r(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.742734225 plus -0.045?\nAnswer: 106.697734225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 21*m - 83. Suppose -p = -3*q + 87, -26 = -2*q - 5*p + 15. List the prime factors of h(q).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t + 2. Let n be 1 - (0 + 0)*(-1)\/5. Calculate z(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*q**4 + 46458664*q**3 + 3097244*q**2.\nAnswer: 4*q**2*(q + 774311)*(15*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*u + 139*u - 3*p + 2*p + 10 = 2*p, -14 = 6*u - p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 693*t**2 + 172*t + 475. Is 11 a factor of r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -2. Let v be ((-2)\/(-8))\/(3\/(-8)). What is the closest to v in 0.2, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 5*l + 15, -2*l + 0*h = 5*h + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 25*h**2 - 18*h + 10. Let o(d) = -16*d**2 + 12*d - 7. Let k(n) = 7*o(n) + 5*r(n). What is k(-2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -496 (b) 0.5 (c) -1\/7 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {v: 1, l: 1, p: 2, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.3. Which is the closest to -1\/4? (a) 3 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-273)*84\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l - 29*l + 120. Suppose 2*a - 181 = -a - t, 0 = -a + 2*t + 65. Calculate the lowest common multiple of l and a.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from llllwelwlle?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 4. Let x be (-1)\/4 - (5310\/(-24) - 6). Let h = -221 + x. Calculate j(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -2, -6, -10?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -4, -149, -1, 4 in descending order.\nAnswer: 4, 1, -1, -3, -4, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*y**2 - 325*y**2 + 665*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25830)\/756 - -1*1\/6. Let j = c - -67. What is the highest common divisor of 165 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 + 1 = 0. Let o(j) = j - j**2 + y + 0*j + 3*j**2. Is 18 a factor of o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1796129961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9786165km?\nAnswer: 978.6165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -149, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 4420366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = 4*a + q, -31 = -3*a + q. Let z be 26\/10 - a\/15. Suppose -2*n = 2, z*u - 15 = u - 3*n. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 7*i)*(-7*i - 17*i + 6*i).\nAnswer: -54*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0204558 and -1.8.\nAnswer: -0.03682044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (666\/888)\/(((-51)\/(-8))\/1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 7*s + 585 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 12*m**2 + 31*m + 18. Suppose 16 = k + 2. Let r be t(k). What is the greatest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 88, 207, 396, 679, 1080, 1623, 2332?\nAnswer: 3231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 6) to base 16.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 2. Let l = 34.413 + 0.287. Let z = 35 - l. Which is the closest to -1\/12? (a) y (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 2:29 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 262667611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 2112210221?\nAnswer: -2112210230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*t = 103*t - 75*t + 4243 - 379 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/6 <= 0.004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19322236, -19322235, -19322234, -19322233, -19322232, -19322231?\nAnswer: -19322230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -5*n**7\/42 + 35*n**6\/3 - 490*n**5 + 34300*n**4\/3 - 480200*n**3\/3 + 1344560*n**2 - n + 24. Factor b(l).\nAnswer: -5*(l - 14)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54660 and 117420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18\/(-12))\/(2628\/(-872) - -3) is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*y + 3*z + 164, -4*z - 92 = 2*y. Let w(n) = -5*n**2 + 3*n - 5. Let d be w(4). Let o = y - d. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -241*q**2 + 84*q - 1. Let b(g) = -4*g**2. Calculate f(b(r)).\nAnswer: -3856*r**4 - 336*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*h - 19, 0 = 3*b - 5*h - 16 - 13. Suppose -b*g = -5*g - 9. Let v be (6\/5)\/(6\/15). Solve v*l = -0 + g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**8)**(-21)*((i*i**(1\/71))\/i)\/(i\/i**(-20)))**(2\/3) assuming i is positive.\nAnswer: i**(-29818\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3 = x + 19, -x = 4*f + 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -0.3, 6, 5.22?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.84 times -181.3\nAnswer: 514.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 10:52 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((0 - -5)\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 17268998?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b8718 (base 15) in base 10?\nAnswer: 7419848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 70. Let b = 2.1 - 2. What is the smallest value in z, b, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 9*x**2 + 2*x + 5. Let b be o(-9). Is -5 + b\/(13\/(-1996)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.4 and -0.080191912.\nAnswer: 2.319808088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - -1*sqrt(125) - sqrt(5)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*o - 3*j - 37, o - 21 = 4*j. Suppose t + t - 64 = 4*x, o*x - 10 = 0. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + -50. Let s be (-2)\/(-3)*l\/(-2). Suppose -y + 6*y + 5*m = s, 3*m - 3 = -y. 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: What is -27466.6 - -269?\nAnswer: -27197.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 1 - (0 - (-3 - -38)). Suppose 2*o + h - 105 = 0, 5*o - 8*o - 3*h = -153. Let p = o - i. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*((-5)\/(-2) - -2). Let x = -6 - j. Let b be 4 - 0 - x - 300001. Round b to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*i - 2 - 1, -20 = -2*i - 4*o. Suppose 5*x = i*x + 79. Suppose -6*a - 1 = -x. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 114827213 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 11*t**5\/5 + t**4\/2 - 50*t**3\/3 - t**2\/2 - 895*t - 2800. What is the second derivative of y(r) wrt r?\nAnswer: 132*r**2 + 12*r - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -354346499 and -354346501 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 3 - 8 + q to the form w + i*q and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*q + 33*q + 129 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 67 = -f, -5*m = -m - 12. Suppose -2*t - 2*t + z + 128 = 0, 2*z - f = -2*t. Suppose -9*y + 7*y = -t. What is the least common multiple of y and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a tonne in kilograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 71, 11, -53, -121, -193, -269?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**7\/840 + h**6\/360 - h**5\/120 + h**3\/2 - h**2. Let j(m) be the first derivative of r(m). Calculate j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 3305.\nAnswer: 19830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/(208\/(-13))*(-1)\/7.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/585 or 1?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byii when four letters picked without replacement from {i: 2, b: 1, x: 1, y: 2, u: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2452938, -2452931, -2452920, -2452905, -2452886, -2452863, -2452836?\nAnswer: -2452805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2664)\/216)\/(2481\/6) and 5\/27?\nAnswer: 22329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -79*w + 7. Let t(a) = 119*a - 11. Calculate 8*s(h) + 5*t(h).\nAnswer: -37*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 1110*r**2 + 61705*r + 60600.\nAnswer: 5*(r + 1)*(r + 101)*(r + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 450 = t. Calculate the highest common factor of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/5, 0.2, -2, -2\/721 in descending order.\nAnswer: 5, 0.2, -2\/721, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + t = 1, 0*y + 3 = -3*y + 3*t. Solve 0 = -y*f - f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 0*w + w)*(2 - 2 - 1)*(-2*w**2 - 2*w + 2*w) + (-7*w**2 + 2*w**2 + w**2)*(3*w + 5*w - 6*w).\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/3542434 and -87\/14.\nAnswer: 3542434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-45) - (54\/5)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2647.\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2 + 4*v**2 - 2 - 8*v**2 - 1. Let l(s) = -3*s**2 + s - 1. Determine 3*l(i) - 2*w(i).\nAnswer: -i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*j - 33, 2*a - 5*j - 7 = -0*a. Suppose -3*d = -5*h - 6*d - a, -5*h - d - 2 = 0. What is h rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + (114 - (13 + 34))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.49 - 0.05. Let f = m - -7.14. What is f rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjjr when four letters picked without replacement from rykyyjcyyyryyyjyryy?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 329?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7945166?\nAnswer: 2, 23, 172721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 71*j**2 + 138*j + 15. Let d be g(-69). Solve 12*h - 3 + d = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310473 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 30*s + 41. Let p be y(29). Let m be 48\/10*(-50)\/(-4). What is the highest common factor of p and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 63 = -39. Suppose 4*s + 12520843 - 460831 = c*j, 12059985 = 2*j + 5*s. What is j rounded to the nearest one hundred thousand?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (2 - 5)) + (4 - (-6 - -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8928\/11 greater than -813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11274869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/247643 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2)*1)*4.\nAnswer: -12 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 8. Let g(r) = -r**2 + 5*r + 16. Let d be g(8). Let p be d\/(-5)*(-5 + 10). Calculate t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 13*h - 7. Suppose 42 = -14*i + 11*i. Let s be r(i). Suppose 0 = 4*n - s*n + 96. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let u(g) = g**4 - g**2 + 1. Let o(j) = -2*j**4 + j**2 - 2*j - 1. Let t(h) = b*u(h) - o(h). What is the second derivative of t(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.123226.\nAnswer: -0.0123226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -30. What is the common denominator of (-3)\/9 + 723\/144 and (-445)\/(-50) - (d - -3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*(-80)\/(-180).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 196. Suppose 0 = -0*d - 3*d + 243. Let p = z - d. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3441)\/(-120) + 6\/48. Let s = q + -553\/10. Find the common denominator of 99\/310 and s.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*k + 103*k - 15 = 3*t, 2*k = 5*t + 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, c: 2, e: 5}. What is prob of sequence ae?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + y + 2*y. Let n(g) be the second derivative of -g**3\/6 - 17*g. Give f(n(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31196*t**2 + 16028*t wrt t.\nAnswer: 62392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 425 = 1538. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-10) - 7\/(-2). Suppose 5*u - 9 = -h, 3*h - 2 = -u - t. Suppose 5*l + 3*v - 6 = 0, 0*l + l = 4*v + 15. Put 4, h, l in descending order.\nAnswer: 4, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-60)*18)\/((8\/(-8))\/16)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64617 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.61 + 11.511. Round k to one dp.\nAnswer: -12.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 975857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915481 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l = -50*l + 119379. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 460 and 241906.\nAnswer: 55638380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(380)\/(sqrt(1440)*-4))\/((sqrt(50)*-1 + sqrt(50) + sqrt(50))*2).\nAnswer: -sqrt(19)\/480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*j, -5*x + 14 = -j + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 46. Let m be u(5). Suppose 8 = -m*o + 28*o. Suppose -o*b = 3*w - 60, w = 2*b + 3*b - 56. Solve 5*r + 16 = r + 4*f, -f + b = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000752024 rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t + 10 = m, 0 = -2*t + 2*m - 12. Let u = t + -2. What is the tens digit of 325\/15 - u\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*l = -4, 0*b - 3*b - 10 = -5*l. Suppose 0 = 5*h + 5*d - 35, 3*h - d = -2*d + 17. Solve 3*c + 2 = -h*z, 0 = -3*c - 4*z - 1 - b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n + 8589 = 10894 + 27515. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2824.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 32. Suppose -4*f + 7*f = 3*t - 3, 0 = 4*f + 2*t - a. Solve 3*g = 2*g + f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43857*w**3 - 90428*w**3 + 44986*w**3.\nAnswer: -1585*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/8, -17, 1\/206, 0.2, 1 in ascending order.\nAnswer: -17, -7\/8, 1\/206, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/35)\/(16\/(-14))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p - 265. Let r = p - 23. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31390?\nAnswer: 2, 5, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 14. What is the remainder when 28 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*(-2)\/14 - 1180\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.6946 to 1 decimal place.\nAnswer: 104.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 10) to base 5.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let t(p) be the first derivative of -1\/40*p**5 + 0*p**4 + 1\/3*p**3 + 0*p**2 - 1 + 0*p. Let x(y) be the third derivative of t(y). What is k(x(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*j + 105352 + 31539 = 24487. What is the greatest common divisor of 377 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1825903306 from -8.5843.\nAnswer: -1825903314.5843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5.7. Let g = t - 0.2. Let a = -0.6 + 0.3. What is the nearest to g in 5, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185777 divided by 1?\nAnswer: -185777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*g + 12, -5*o + 1 = -3*g + 2. What are the prime factors of o - (-26)\/4*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/14*12\/(24\/5698)?\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -372, -1150, -3260, -7368, -14140?\nAnswer: -24242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -66621, -133242, -199863, -266484, -333105?\n\"Answer: -66621*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 60939.\nAnswer: -4\/60939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 3*a**2 + a + 1. Let n be h(0). Let q(y) = y. Let g(z) = -3288*z + 3290*z - 3 + 0. Calculate n*q(t) + g(t).\nAnswer: 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 1675?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**4 - f**2 + f**2 + (4*f**2 + 0*f**2 - f**2)*(-62*f**2 - 100*f**2 - 2*f**2) to x*f**2 + o + l*f**4 + b*f**3 + p*f and give l.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57713709587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5591850 and 1386?\nAnswer: 117428850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -18. Which is the closest to 1\/2? (a) 0.4 (b) 4\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 1, -2, 2 in decreasing order.\nAnswer: 8, 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 113 + 68 = -92 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 26906*r = -26909*r - 12, 0 = 3*y - 2*r - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 111?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 2, a: 1, b: 1, z: 2, s: 1}. Give prob of picking 1 a, 1 w, and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 7. Let f be (n - -19)*(-1)\/(-2). What is the common denominator of (-37)\/(-1 + (4 - f)) and 21\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/39))\/(t**(-2)*t))\/((t**(-28)*t)\/(t*t**(-12)\/t)) assuming t is positive.\nAnswer: t**(664\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**5\/60 + k**3\/6 + 13949*k**2. Let w = 15 + -11. Let h(s) = 1 - w + 2. Calculate 3*b(f) + 2*h(f).\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74977\/17754 - 70\/807. Find the common denominator of -57\/20 and i.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10. Let l(o) = o + 11. Suppose 0 = -q - c, -3*c = -2*q + 15 - 0. Calculate q*u(j) - 2*l(j).\nAnswer: -2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 444567516 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/17 + -89\/34. Let p = h - -3. Which is the nearest to p? (a) 0.1 (b) 27 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q**2 - 3*q - 5. Let d(o) = 17*o**2 + 4*o + 7. What is 5*d(v) + 7*x(v)?\nAnswer: 8*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2308)\/((-110)\/(-56) - 2). Suppose 4*f - 7*f + 9 = 0. Suppose -f*l + z + 4375 = k, 4*l = -5*k + 91995. What is l rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 5*x**4 + 1360883*x - 1360885*x + 6 - 7*x**3 + 0*x**2 to the form u*x + j*x**2 + g + w*x**3 + s*x**4 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 3899922550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9789\/10, -30.\nAnswer: -9789\/10, -30, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n - 0*n. Let y = 9 - n. Let q = 8 - -10. What is the highest common divisor of y and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1408*t - 43538. Give x(31).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 16*g**2 + 62*g + 4. Is 37 a factor of q(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005427 rounded to 4 decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 36 - 23 + 59 + 0*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 302, 574, 860, 1112?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111596644*m - 155397522?\nAnswer: -111596644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99468 divided by -54?\nAnswer: -1842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*c**4*v - 547237*c**2*v**2 + 3*c*v**2 + 21*c - 5*v**2 + v - 5 wrt c.\nAnswer: 60*c**2*v - 1094474*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1358722984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-5 - -9)) + 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d - 27*d + 5*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 31956 = -7*k. Let w = k + -2993. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -30*i + 9. Let l(w) = 16*w - 5. Let m(o) = -5*l(o) - 2*z(o). Differentiate m(k) with respect to k.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-35))\/((-1)\/13)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2778*m - 67124 = 1343*m - 367957 for m.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.003, -1\/10 in ascending order.\nAnswer: -1\/10, -0.003, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -1 - 0 - -4. Do h and 18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z + 13*z - z + z + 7.\nAnswer: 22*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2650695*r**4 - 4*r**2 - 14484369*r.\nAnswer: -31808340*r**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.009 - -0.109. Suppose -4*n + 8 = -0*n. Suppose -n*f = 1 + 5. What is the third smallest value in t, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 + -0.77. Which is the second biggest value? (a) 5 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.242 and 1790.\nAnswer: -32653.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 6. What is r(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d + 1?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*9 - (-21)\/(-7). Let w(h) = -29*h + 2. Let q be w(-1). Let f = q - 25. Solve -15 = 4*t - 5*n, -b = 3*t - 4*n + f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/(-26)*1\/(-3). Sort f, 3\/2, 2\/3, 1\/4 in descending order.\nAnswer: 3\/2, 2\/3, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*18\/60*2\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 144511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Let z(c) = 2*c**2 - 8*c + 3. List the prime factors of z(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 44*b + 678. What is z(56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29772 and 725520?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - 2*q = 6, -12 = x + 4*q. Let w(y) be the second derivative of x*y**3 + 1\/12*y**4 + 2*y**2 - 3*y + 0. What is the derivative of w(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -1 + d + 4 + 3*d**2 - 3. Let s(h) = -h**2. Calculate n(i) + 6*s(i).\nAnswer: -3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 579 + -13311\/23. Calculate the common denominator of 81\/8 and w.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -2*g**3\/3 - g**2 - 2*g + 2. Let t(l) = 11*l + 2*l**2 + 12*l**2 + 8*l**2 + 10 + 4*l**2 - 16*l**2. Calculate 11*a(f) + 2*t(f).\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 4*m + 3. Let u be d(-4). Are u and -13 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:49 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/(-12)*1886\/1932 - 1 and -59\/4928?\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -4*c - 157. Solve -c*g + 10*g = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0306+-0.2\nAnswer: -0.1694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (25 - 21)) + 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 1043 - 1477 = 0. What is the greatest common factor of 3430 and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 0 - -1 - -18. Let m = x + -6. Suppose 6*i = 9*i - m. Solve -2*d - 5 = -i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -599794, -599766, -599728, -599686, -599646, -599614, -599596?\n\"Answer: -m**3 + 11*m**2 + 2*m - 599806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -661484?\nAnswer: 1\/330742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.419.\nAnswer: 1.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -9897*(-11 - 32\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 4763986a?\nAnswer: -47639870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74502.\nAnswer: 2, 3, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -172.\nAnswer: -18\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvv when three letters picked without replacement from {l: 1, v: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from llvlv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + 1. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 7*w = 195*w + 21714. Let z = 10975\/21 + -1852\/3. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**2 + 253*d - 168. Let p be v(-85). Factor 9\/5*i + 0 - 12\/5*i**p + 3\/5*i**3.\nAnswer: 3*i*(i - 3)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 98.238km?\nAnswer: 9823800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 205\/3. Put -3, m, 0.2 in increasing order.\nAnswer: -3, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 3 - 0) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 108*b**2 - 1630*b + 853. Determine y(13).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 4*b**2 - 2*b**2)*(12 - 3*b - 5*b + 10*b).\nAnswer: -2*b**3 - 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-5\/6)*v))\/(v**(3\/8)\/v)*((v*v**(-2\/57)*v)\/v)\/(v\/(((v*v**(-1))\/v)\/v)*v) assuming v is positive.\nAnswer: v**(-719\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/11 - 14*c\/11 - 48\/11.\nAnswer: -(c + 6)*(c + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -128*b - 832. Does 44 divide n(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 763, 1525, 2287, 3049, 3811?\nAnswer: 4573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -115*w + 266. Determine c(3).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.3274 litres in millilitres?\nAnswer: 33327.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 556 - 565 - ((2 - 0) + -3 + -10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2036\/(-58)*-1 + 2340\/(-22620).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/(-56))\/((-1)\/(-21)). Is 94\/5*(-3)\/(j\/15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t*u**2*w - 599*t*u**2 + 2*t*u + 174*t*w**3 + 16*u**2*w**2 - 32*u*w + w**3 wrt w?\nAnswer: 1044*t*w + 32*u**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)**(-24))**(3\/14)*((h*h**7)\/(h*h**(1\/10)*h))**24 assuming h is positive.\nAnswer: h**(4776\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -37, -80, -153, -262, -413, -612, -865?\n\"Answer: -w**3 - 6*w**2 + 6*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -7 - -6)*(1 - -1). Let k(r) be the third derivative of 0*r + 14*r**y + 0 - 1\/240*r**5 - 1\/24*r**3 - 1\/48*r**4. Suppose k(g) = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40402265 divided by -5?\nAnswer: 8080453","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, m: 4, h: 3, d: 3, y: 3}. What is prob of picking 2 d?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13773 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378807085.\nAnswer: 5, 1831, 150607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/2 (b) -0.037 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 13 - 38 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*h + 14824 - 14563 = 71*h + 41770 for h.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599905 is divided by 532104?\nAnswer: 3593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.68183km to nanometers.\nAnswer: 53681830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*o + 18104 + 61902 = 0 for o.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000324519 rounded to five dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*18\/8*1560\/(-455).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5045 + 5050. Let f(b) be the first derivative of 15 - 1\/21*b**6 + 3\/14*b**4 - 2\/35*b**h - 2\/7*b**2 + 2\/21*b**3 + 0*b. Find i such that f(i) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 22*s**2 - s - 23. Determine a(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + c**2 - 2*c - 4.\nAnswer: (c - 2)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200608, 802436, 1805490, 3209776, 5015300, 7222068, 9830086, 12839360?\nAnswer: 16249896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 75 + 81 = 3*g, -2*g = i - 20. Solve -i = 135*y - 123*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + (-4)\/(-8))*12. Suppose -c + 38 - 23 = 0. Suppose -2*l + c + 85 = 2*s, -s = -2. Calculate the highest common divisor of l and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/7 - (-4)\/(-14). Let n = 3 - -10. Let y = n - 8. Sort -5, y, f in ascending order.\nAnswer: -5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, y: 7}. Give prob of sequence yyyy.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 3. Let p be (77\/33)\/(1\/12). Let z = p - 21. Suppose 0 = -z*s + 6 + 15. Calculate j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 21669120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3906447 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -164*f. Let d be i(-2). Suppose 132 = x + 4*u, 3*u + d = 3*x - 2*u. Suppose -16 + x = 5*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*x + 42, 2*f = 8*x - 5*x + 42. Suppose 3*n + 0*n = f. Let y be (-600000)\/n*(-5 + -86). Round y to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntnsmnmctm. Give prob of picking 1 c, 1 m, 1 t, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207755523 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 5. Let o be (-1)\/(f\/44)*4. Let n = 46 + o. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145922 and 2386867.\nAnswer: 33416138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/319 or 1?\nAnswer: 1\/319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49052.\nAnswer: 2, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-2*f**3 + 0*f**3 + 0*f**3).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169.3 + -14.\nAnswer: -183.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49504909.815 + -0.014.\nAnswer: 49504909.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -253 (b) 0.5 (c) 284\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -33*i + 159. Calculate t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2 - 1. Suppose 19 = -5*d - u + 2*u, -5*u = p*d + 17. Let f = d - -12. Calculate the remainder when 22 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msk when three letters picked without replacement from semmkkksmksmm?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 72369621.\nAnswer: 2\/72369621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 - 120*q**3 - 15*q**3.\nAnswer: -123*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 673877973 to the power of 1\/3, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 3*g + 5. Let u(s) = s**2 + s - 2. Let p(q) = -5*u(q) - 3*v(q). Let m be p(4). Does 7 divide (98\/10)\/(15\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 20. Determine u(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from gggggiggggiggggggggg.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = 5*s. Is 1\/s + 7\/(63\/85410) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-8)*(2 - -2). Let k be 1\/2*(-10)\/40*8. Which is the nearest to -0.1? (a) q (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 849 + 108. Suppose -3*b + 32*b - g = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -28*g**2 + 2167*g - 8984. What is n(73)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 0 - (0 + -1). Let r be 8*s\/(-12)*-2. What is the third derivative of 13*u**2 - u**r - 2*u**4 + 5*u**4 + 0*u**2 wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 3*j**2 + 24*j + 13. Determine z(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1001?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*m + 405, -42*w = -44*w - 5*m - 885. Is -432 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2214 + -8799\/4. Let u = v + -269\/20. Let h = -5\/7 + 3\/14. Which is the nearest to h? (a) 0.5 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 584804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3943 - 3992. Sort -1, -9, m.\nAnswer: m, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2050072 rounded to 3 decimal places?\nAnswer: -0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 78. Let j = 34 - g. Let k = -3.00084 + j. What is k rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92929818?\nAnswer: 2, 3, 317, 48859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58630)\/29640)\/11 + ((-13)\/(-6) - 2)?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -34610*r - 17. Let z(y) = -49*y. Determine j(z(h)).\nAnswer: 1695890*h - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 613\/5 in 17696, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2015548 = -22*a + 17*a, 0 = -x - 1. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13b - -1?\nAnswer: 13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/12 - 3*q + 7. Let w(l) = 7*l**2 + 5*l. Determine b(w(v)).\nAnswer: 49*v**4 + 70*v**3 + 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-36))\/(3*4\/2358). Let b = -128 - i. Suppose 4*g - g - 5*p + 22 = 0, -g - 9 = -2*p. Solve 5 = b*u - g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105964 to the nearest one thousand.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4 - 2 - 4 + 0 + 15*r. Let n be c(-1). Let w = n + 28. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59271*i**3 + 147222*i wrt i.\nAnswer: -355626*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 21698361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236152472.\nAnswer: 2, 61, 277, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -27) + (6 - -28) + 42?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 258.3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111101100011000 - 1011111111?\nAnswer: 11111100000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(450)*-3)\/sqrt(9)*-4)\/((sqrt(1440) + (4*sqrt(1440) - sqrt(1440) - sqrt(1440)) - sqrt(1440))*-6))**2 + 2.\nAnswer: -2*sqrt(5)\/3 + 2597\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -0*g. What is the remainder when 4 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 45, 5, 2.\nAnswer: -5, 2, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6084 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -77. Let s(f) = -f**3 - 4*f**2 - 4*f - 1. Let n be s(-3). Suppose 60 + 23 = 3*z + 4*o, l = n*z + 2*o. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.19. Let s = o - -0.33. Let v = s + 0.06. What is the smallest value in -5, v, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 56.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 - 2.87. Let p = k - -3. Which is bigger: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37179d + 4?\nAnswer: 3717a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 1 (b) 3 (c) -12 (d) -1\/5 (e) -1085\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402274*b - 1767314*b - 2170425*b + 488502*b.\nAnswer: -3046963*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5860*r - 5854*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 7. Give a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 24406525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -178464 divided by 5408\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32467*b**2 - 51*b - 1 wrt b.\nAnswer: 64934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2211 + -2?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 43*v + 1307. Give d(27).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5)*(6 - 2))\/((-52)\/(-780))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/9*(-6)\/(-20). Suppose -5*l = -7 - 58. Suppose -1 = -s + x, s + 7*x - l = 2*x. Which is the nearest to -1\/3? (a) k (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-10)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**2 + 0*h**3 - 5*h + 0*h**3 + 4 - 2*h - h**3. Let r be n(-8). Let x be 249\/332 + (-5)\/12. Which is the nearest to -0.5? (a) x (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 20*a**2 + a - 21. Let q be t(20). Let x be (3 + -6)\/(-1) - (-1)\/q. Suppose x*p = -5*r + 1388, 2*p - 687 = p + r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158201114.6 to the nearest 100000.\nAnswer: 158200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 3. Let p = -6.969 + r. Let d = 0.0304 - p. What is d rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 20*h**2 - 2*h - 20. Let v(i) = -8*i**2 + i + 8. Let t(n) = 5*a(n) + 12*v(n). Calculate the least common multiple of 20 and t(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2507, 2410, 2317, 2222, 2119?\n\"Answer: -q**3 + 8*q**2 - 114*q + 2614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-16))\/((-28)\/168).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -253555025 - 0?\nAnswer: -253555025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*d**3*u*v**4 + d**3*u*v - 33*d**3*v - 771*d**2*u*v**4 - 1390*d*u*v**2 wrt v?\nAnswer: -360*d**3*u*v - 18504*d**2*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 9 - (-11 - -33 - 10)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - ((4 - 2) + -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3\/7 + 52113*g**2\/7 + 625032*g\/7 + 1874772\/7 = 0. What is g?\nAnswer: -17359, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(32)\/sqrt(4))\/sqrt(4) - 1*sqrt(128).\nAnswer: -7*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2)*2)\/(6\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**8\/84 + 3*p**4\/8 + 10*p**2. Find the second derivative of d(q) wrt q.\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -6) + 45\/(-12) + 1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -704 - c10?\nAnswer: -1614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592 = 9*y + 628 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -295765 - -295765.1. Let l = -0.6 - -0.3. Let o = 2 + -1.2. Sort o, l, b in ascending order.\nAnswer: l, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -l + 4, -4*l = -4*b + 39 + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -8*k + 45. Solve -k*n - 20 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 5. Let x be c(5). Suppose 4*z + x*y = 4*y + 28, 3*y = -12. Determine g, given that 0*g + 1\/2*g**2 - 1\/2*g**4 + 0 - 1\/2*g**5 + 1\/2*g**z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-21) + (-6776)\/(-1176))*13\/((-455)\/(-21)).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, 27\/2, -0.9, -2 in descending order.\nAnswer: 27\/2, -2\/31, -0.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1160 - -1163. Suppose -3*z = 5*w - 35, -3*z - 3*w - 5 = -32. Which is the smallest value? (a) z (b) g (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971984 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/(66\/165)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394646?\nAnswer: 2, 7, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 60 = 5*t. What is the tens digit of (t\/9)\/(2\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-4\/13)*o**14*o*o*o**(-3\/2)*o**(1\/27) assuming o is positive.\nAnswer: o**(10691\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -160 = -159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 - 5 - 5*o**3 - 6*o**3 wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(3\/5)*l)*l)\/l**(-1\/3) assuming l is positive.\nAnswer: l**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 - 201422 + 201423 + w**2 + 231*w - 3*w**2 in the form x + k*w + f*w**2 + r*w**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 435668630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 213 = -2*v, -5*v + 129 = -4*v - 4*u. Suppose 3*o + 2*c = v, 0*c = 5*c + 20. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -708.3148 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 147 = -u, 0 = -14*t + 19*t - 3*u - 703. Solve 153*f = t*f - 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/96*13\/(91\/(-8)))\/((-11)\/(-33))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 2\/5, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.46 and 2180.41?\nAnswer: -1002.9886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**2 - 1132 - 12*r**2 - 956 - 8*r**2 - 1191.\nAnswer: -r**2 - 3279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*y + 40 = 0, 5*y - 2*y - 15 = 0. Let f be -5 + q - 0\/1. Determine j so that 2*j + 2*j + f*j**2 + 4*j**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1836*s - 4621. Let r(n) = -3670*n - 9236. Let z(c) = -5*r(c) + 9*x(c). Differentiate z(o) with respect to o.\nAnswer: 1826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 5, 0.01, 12548, 14 in ascending order.\nAnswer: -3\/8, 0.01, 5, 14, 12548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.81 - 32.807234. What is j rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -277, 1, 2, -1, 3243 in ascending order.\nAnswer: -277, -4, -1, 1, 2, 4, 3243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1738*w + 1717*w = 84 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-14)\/8*-1. Let l = 10 + -4. Suppose 0 = -4*x + 6*x - l. Solve p + k = 5*p - c, x*p - k = 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 0.4 (c) -641 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6069?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 22 = -3*q, -52 + 29 = -4*t + 3*q. Let s(y) be the second derivative of 0*y**3 + 0 - 1\/20*y**t - 1\/6*y**4 + 10*y + 0*y**2. Factor s(m).\nAnswer: -m**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 greater than 344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 94366, 4, -5 in decreasing order.\nAnswer: 94366, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -66.78\nAnswer: -26.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) 2 (c) -1\/2 (d) -0.4994\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 - (-7799)\/77. Let g = -2891 - -2903. Solve u*d - g = 98*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - -163. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2.3, -2\/33, -1\/3, 1\/4, 13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 54, 2, -28, -17.\nAnswer: -28, -17, -3, 2, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -31, 53\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006423 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/30 - 6476\/(-6). Let m = k + -509. Round m to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20321 (base 5) in base 9?\nAnswer: -1744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4600 = 6*h. Suppose 13*l + 483 = -8*l. Is h\/l*(-12)\/5 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -41, -111, -231, -413, -669, -1011?\n\"Answer: -2*t**3 - 7*t**2 + 3*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**2 + 11. Let d(f) be the first derivative of -f**3 + 3*f**3 - 4 - 6*f - 2 + f. Let a(j) = -7*d(j) - 3*l(j). Differentiate a(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/493365 and -27\/131564.\nAnswer: 1973460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 65*r - 240.\nAnswer: 5*(r - 16)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 7*u - 3*u + 6*u + 13 = -5*u, 0 = -2*w - 3*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14638 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-129)\/(((-2)\/30*-3)\/(7\/(-7))). What is the highest common factor of h and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**3\/3 + 5*z**2\/2 - 3*z + 153. Let x be (2\/(-4) - 0)*-2. Suppose x = -g + 5. What is p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5936*l - 1254 = 5898*l for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24228 - 59226 = -3974*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/243 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1.1 (b) 2 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 14) in base 5?\nAnswer: 4403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-1)*n))**26\/(((n*n\/(n*n**(-8)\/n))\/n)\/n**(-3)) assuming n is positive.\nAnswer: n**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**3\/3 - 3*j**2 - 2*j + 5. Let i = -2 + 8. Let c be o(i). Let v(t) = -3*t + 1. What is v(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27669 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: Calculate the highest common divisor of 4129466 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j**2 - 63*j + 14. Calculate l(-7).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 18036 = -4*l. Let p = l + 730. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726986069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 4.6, 4\/7, 8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 3. Let g be r(0). Let c(m) = m**2 - 3. Calculate c(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*l - 6789 = 0, 36*l - 33*l + 3387 = 2*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) - (sqrt(1700) + 0 - sqrt(1700)))*-1 - sqrt(1700))*4)**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*v**4 - 1\/3 + 1\/2*v**3 - 1\/2*v + 1\/6*v**2 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 526653.8?\nAnswer: 526653.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 410929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {i: 3, g: 3, t: 2, h: 4, c: 1, d: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(2\/3)))**(41\/3)\/(i*i\/i**(-5\/2)*i*i\/(i\/(i\/i**(2\/9)))*i))**(36\/5) assuming i is positive.\nAnswer: i**(-426\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38761.9999932436 + 38762. Round y to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 1 = 3*g. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 50324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11358, -22719, -34084, -45453, -56826, -68203, -79584?\nAnswer: -90969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1470 divided by -8956.\nAnswer: 735\/4478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 30*c + 2. Is x(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8605 - 8598. Which is the nearest to 0.9? (a) -15 (b) i (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1033*l**2 + 3*l - 987*l**2 - l - 15 + 18 as a + n*l + r*l**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 1421 = -1520. Let u(f) = 36 - 5 + 16 - 5*f. Is 17 a factor of u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -1\/14*o**4 + 224 + 16\/7*o + 2\/21*o**3 + 10\/7*o**2. Factor b(k).\nAnswer: -2*(k - 4)*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 + 250. Let f = 150 - x. Suppose -3*a + 831 = 3*l, 0*a = f*a - l - 554. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1256995 (b) -10 (c) 0.1 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*n + 8747, 2*d - 7351 = 5*n - 1535. Suppose -2*s - 2*a + 3*a + 1165 = 0, 0 = 5*s - 2*a - d. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 - 4*5\/(-25). Put -5, 17, 4, p in ascending order.\nAnswer: -5, p, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 1 - 1 + 1. Let t(j) be the second derivative of -j**3\/3 - j**2\/2 + 25*j + 351. Determine f(h) + t(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + 7*x**2 - 3*x**2)*(-14796*x + 14799*x + 6 - 56) to the form g + j*x**2 + o*x**3 + k*x and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.42 - -0.52. Let f = -4.95 - 0.05. What is the closest to h in 0.06, -2, f?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 16. Suppose -5*z + 1 - 15 = k, -3*z - 30 = -3*k. Let a be c(k). Is (-9 + (-12)\/a)*(-40)\/12 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339227041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/(sqrt(10)\/(sqrt(4)\/sqrt(2))))\/(sqrt(162) + -2*(sqrt(162) + 1*sqrt(162)) + sqrt(162))*-4 + 5)**2.\nAnswer: 40*sqrt(5)\/9 + 2105\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1055741 - 1?\nAnswer: 1055740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 30980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:19 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427061784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 3}. Give prob of picking 1 o and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4825*c + 4823*c + 29 - 29.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1050 divided by -21.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.48531m to micrometers.\nAnswer: 99485310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -v + 26, 4*s - 40*v + 44*v + 16 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f\/(f\/f**5))\/((f**(3\/2)*f*f)\/f*f**(-5\/7)) assuming f is positive.\nAnswer: f**(107\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m**3*w - 16*m**3 + 4*m*w**3 + 4680*w**3 - w**2 wrt m?\nAnswer: -12*m**2*w - 48*m**2 + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*o - 65*o - 2033896 + 2033897.\nAnswer: 31*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10131*f**3*s**3 - f**3 + 3381891*f**2*s**2 - 9*s**3 wrt s?\nAnswer: 60786*f**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/120 + k**5\/15 + k**4\/24 + k**3\/2 - k**2. Let a(o) = -6*o**2 + 2*o + 5. Let t be a(-1). Is 8 a factor of u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18.8 or 2\/195?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 16, -2*k - 46 = -5*v + 222. Calculate the greatest common divisor of 117 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3763 + 3789. Calculate the remainder when 357 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from ffjfjjffffffff.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-7 + 9 + 5)*(-1 - 11 - 1)*(3*j**2 - j**2 - 4*j**2).\nAnswer: -182*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8067523 and 1754.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -840*a**3*j**3 + a**3*j - 4*a**3 - a**2*j**3 - 147*a**2*j**2 - 2*a**2*j + 3*a wrt a.\nAnswer: -5040*j**3 + 6*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a + -2269?\nAnswer: -2388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 210670.3ug in milligrams?\nAnswer: 210.6703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -1 + 26 - (113 + -9 + -2).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.1166098 to 3 decimal places.\nAnswer: 26.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (6 + 5)) + (2 - 3) + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 218*m - 15. Let j(d) = d - 5. What is j(i(p))?\nAnswer: 2*p**2 - 218*p - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from {x: 4, z: 14}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 70. Let d(o) be the first derivative of o**4\/4 + 13*o**3\/3 + 11*o**2\/2 - 12*o - 4. Let h be d(p). Solve h = z - 4*x + 24, x = 9 - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14179, 14192, 14205, 14218?\nAnswer: 14231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 6*b - 87. Let g be l(16). Let c = g + -46. Let p be (-24)\/c*(-72)\/16. Solve p*u + 9 = 4*j - 7, -5*j + 4*u = -21 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 18*o**2 + 2*o + 2. Let w be a(-1). Let u = w + -15. Let v be (u*2\/(-6))\/(-5). Is 1 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 40*o. Let y(q) = 2*q. Determine j(y(k)).\nAnswer: 80*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 25 = -4*g. Let w = g - -3. Let a be -3 + (w - 10\/(-2)). Solve a = -t - 0 + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76.2 - -76. Let z = -18 - -42. Let o be 39\/z - (1 + 1). Which is the second biggest value? (a) 0.1 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/186 - (-2050)\/(-1860).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 36 = -5*y, 13*y - o - 1012 = -1104 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)\/v*v**0*(v\/((v*v**(-2))\/v))**18)\/((v*v*v**(-6\/5)*v**3)\/(v*v*v\/v**(-2))**(-45)) assuming v is positive.\nAnswer: v**(-11417\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - 487*x - 2. Let v(n) = -9*n**2 - 974*n - 4. What is -11*i(b) + 6*v(b)?\nAnswer: b**2 - 487*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -103c + 17a?\nAnswer: -ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*z + 571 - 5353 = 2151 - 589 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48393887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = 120. Suppose -4*w + 6 = -2*w + 4*x, 2*x = -2. Suppose -3*m - 2*q = -2*m - 18, 5*m = -w*q + 75. What is the highest common divisor of m and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.54 + -3.2. Let h = r + 0.06. Let d = h + -0.3. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + -15 - (-9 + 13 + -29)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 - -1221203?\nAnswer: 1221323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i. Let d(w) = -5*w**2 - w - 133. Give d(o(m)).\nAnswer: -980*m**2 + 14*m - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 105*v + 2. Let m(f) = -205*f - 3. Calculate -3*m(c) - 5*z(c).\nAnswer: 90*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 15\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -6 (b) -4\/151 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6206 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 652\/3 + -216. Let s = -0.01 - -0.07. Sort -0.3, -2\/3, b, s in increasing order.\nAnswer: -2\/3, -0.3, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Let c be (-4 - (-33)\/v)*7. Factor -90*o**3 - 12*o**4 - 64*o**2 + 174*o**4 + c*o - 57*o.\nAnswer: 2*o*(o - 1)*(9*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y + 3. What is s(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -114204 (base 5) to base 2\nAnswer: -1000011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**4\/6 - c**3\/3 - 62*c**2. Calculate p(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.379066 millilitres to litres.\nAnswer: 0.007379066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*m**2 - 21*m**2 - 3*m**2.\nAnswer: 155*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p + 3*g, 495*p = 497*p + 5*g + 2. Let u(m) = -2*m**2 + 13*m - 14. Determine u(p).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/20 and ((-3)\/54)\/(2\/(-284)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -120. Suppose 4*o - l = 400. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -938366\/167 or -5619?\nAnswer: -5619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5557*m + 58*m**2 + 5555*m - 101*m**2 - 123*m**2 as j*m + r*m**2 + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3fa + 2d72?\nAnswer: 2978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + 2.9. Let h(k) = k - 8. Let q = -37 + 44. Let o be h(q). Which is the third smallest value? (a) o (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334544*x - 334537*x - 334538*x + 1338153*x - 334536*x + 7.\nAnswer: -2*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305677 = 33*n - 234772 - 388. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 616195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -39*j**2 - 3*j - 2. Let a be k(-2). Let l be a\/(-95) + (-2)\/(-5). Solve 0 = -0*f + l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 370\/(-222)*3069\/155.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -13*a - 59 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/3012 and 37\/46610.\nAnswer: 70194660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) 2\/29 (c) -0.2 (d) 27 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/18*80416218\/(-136). Let p = j + -65700. What is the common denominator of p and -61\/14?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-318)\/2332*-3*(-8)\/54.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -24*v + 1529. Calculate x(63).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 197, 207, 223, 245?\n\"Answer: 3*b**2 + b + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20*g + 5 = 17*g, -2*g + 4 = j. Let f(v) be the second derivative of -v**5\/20 + v**4\/6 + v**3\/6 - v**2\/2 - 6*v - 1. What is f(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n*n\/n**(-1\/3)*n)\/n*n**(-12)\/n*(n\/n**0)**(-11) assuming n is positive.\nAnswer: n**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/2520 and 187\/29190.\nAnswer: 350280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*j - 18, 0 = -5*y - j + 2*j + 12. Let d be (-22)\/(-14) - (-12)\/28. Factor -4*m - y*m**2 + 15 - 18 - d*m.\nAnswer: -3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*v**3 + 2*v**2 + 5*v - 618 with respect to v.\nAnswer: 36*v**2 + 4*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 389.9769\nAnswer: -155.99076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80*w**4 + 11994*w**3 - 11558382 wrt w?\nAnswer: -320*w**3 + 35982*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + 7*g + 64. Let o be p(6). Sort 0, -4, -3, o, -2\/3 in increasing order.\nAnswer: -4, -3, o, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 284203368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose 2*h = 5*l, l - 2*h + h - w = 0. Let o(y) = y + 25. Let p(g) = -6. Let j(m) = l*o(m) - 9*p(m). Determine j(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036886523 rounded to six decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - -1614.2.\nAnswer: 1576.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 12 = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348 and 40.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*n - 4200 = -1618, 0 = 3*s + 4*n + 2600. Let u = -5149\/6 - s. Calculate the common denominator of u and 131\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -35264*p. Let t(q) = -1792*q**2. Determine t(d(s)).\nAnswer: -2228441055232*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:42 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2)*88\/154?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 29*a + 0 - 15\/2*a**2 - 347\/6*a**3. Let j be m(-5). Round j to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*w**3 - 72*w**3 - 66*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2178 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**2 - 3*o**2 + 2 - 3*o + 0*o**2 - o**3. What is the units digit of c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 n when three letters picked without replacement from {q: 6, n: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**2 + 335*o + 57. Determine j(48).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.7 and -0.019224.\nAnswer: 0.1672488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.33? (a) 0.2 (b) -5\/3 (c) -0.8 (d) 31 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1032036 and 408?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1437 - 3298059568\nAnswer: -3298061005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 8 - 3 + v**2 - 9 - 3*v + 21. Let o(d) = d**3 - 3*d**2 + d - 3. Let s(q) = -o(q) - 4*x(q). Determine s(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 289895\/1326 or 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, r: 4, a: 2}. Give prob of sequence allr.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/((-480)\/266)*(24\/3 - 5510\/665)\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmbmmfff. What is prob of picking 1 m and 1 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 20. Let k be n(12). Solve -s - 5*l + 15 = -2*s, -k*s - 3*l = -32 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**3 - 5*y**2 + 8*y - 7. Let t be p(-3). Sort 1, -4, 2, t.\nAnswer: -4, 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 3. Let n be a(6). Let x be (0 - 0) + -4 + n. Suppose 0 = -8*o + x*o + 2013. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/14*(-7)\/2. Suppose 6*b = 5*b + i. Factor -v**3 - 6*v**2 - 2*v**3 + 0*v**3 - 6*v - b + v**3.\nAnswer: -2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 568*m - 26 + 468*m + 52 - 26.\nAnswer: 1036*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*n - n - 64, 2*n - 48 = -4*c. Suppose 2*f = -6 + n. What is the remainder when f is divided by ((-938)\/168 + 6)*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 5*f**3 - 2*f**3 + (18*f**2 + 67*f - 67*f)*(3*f - f + f) + (2*f - 4*f - f)*(-3*f - 2*f**2 + 3*f) + 0*f**3 - f**3 + 3*f**3.\nAnswer: 64*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -142245 (base 6) in base 14?\nAnswer: -4cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -8 (c) -1\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -489722.13 to the nearest 100.\nAnswer: -489700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 4*u + 4, 3*z - 4*z - 5 = 3*u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**3 + 3 - 3)*(2*f - 4*f + f + (-1 + 3 - 4)*(0*f + 3*f - 5*f) + 2*f + 2 - 2 - 2) to i*f**3 + z + s*f**4 + w*f**2 + t*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/24)\/((-18)\/(-27))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2886, -4, -228?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 54 = 2*q - 0*q, -q = 4*y - 123. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/((-4)\/16). Suppose -c*x + x = 6. Let z = 1 - x. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxxmmm. Give prob of picking 1 m and 1 x.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5510560472 - -174.\nAnswer: -5510560298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11a + -4?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-989)\/92 + 29.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3 + 2 + 0 + 2*d - 2*d**3. Let t be j(1). What is the units digit of (-20)\/t*(-6)\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34693, -277582, -936867, -2220748, -4337425, -7495098?\n\"Answer: -34700*z**3 + 2*z**2 + 5*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2\/3, 0, -21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427 = -3*a + 2*k - k, 153 = a - 3*k. Suppose -2*y - 3*r + a = 0, 3*y = 7*y - r - 303. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 2538.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-5\/4)*v))\/(v**(5\/2)*v))\/(v**(-2)*v*v*v**4)*(v*v\/((v\/v**6)\/v))\/v**6*v**(-6)\/v**(2\/7) assuming v is positive.\nAnswer: v**(-323\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8\/(y\/(y\/((y*y**(-11)*y)\/y)*y)*y*y)*((y\/y**6)\/y*y)**(-3\/5))**(-16) assuming y is positive.\nAnswer: y**(-320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7043.5 and -0.3?\nAnswer: 2113.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -266 + 281 + (-3 - (3 + 9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0806 - -0.4806. Which is the biggest value? (a) -4\/119 (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*m + 25034 - 5582, m = -2*t - 3886. Let w be (-29452)\/(-5) + 6\/(-15). Let x = m + w. Round x to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -851 and 11.7?\nAnswer: 862.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 171 - 149 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 15624 = 4*d, -5*d - h + 1281 = -18219. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -198692, 8, -6, 4 in descending order.\nAnswer: 8, 4, -2, -6, -198692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/5 or -2\/5?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:25 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - -30. Suppose 4*q + 848 = 2*c, -8*q + 10*q - 10 = 0. Suppose -c*v = -428*v - 168. Calculate the remainder when l is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2012 - -11?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 7*o**2 - 6*o + 9. Let k be t(6). Let f = k + -15. Let z = f - -6. Solve -3*l + 8*l - 10 = z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 + 3895168*q + 948270859264 = 0. Calculate q.\nAnswer: -486896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 9, j: 2, v: 3}. What is prob of sequence jvr?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, b: 4, w: 5, g: 1}. Give prob of sequence dgdw.\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**3 + 6*m**3 - 3*m**3 + (2*m - 2 - 6*m + 3*m)*(6*m**2 + m**2 - 4*m**2).\nAnswer: -7*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-252))\/(2\/16)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -26.83. What is the smallest value in -0.5, -2\/7, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643801110.5 rounded to the nearest one million?\nAnswer: -1644000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 62215*i**3 - i - 123466*i**3 + 61252*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24915, -24918, -24921, -24924, -24927, -24930?\nAnswer: -24933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -24 + 20 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*c + 2*q - 5, -5*q + 2 = c. Suppose -c = s + 4*v, -2*s = 5*v - 0 + 5. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**3 + 14*p**3 - 30 + 2674*p**2 - 20*p**3.\nAnswer: p**3 + 2674*p**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75, 78, 83, 90, 99, 110, 123?\n\"Answer: j**2 + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**2)\/(m**1\/m))**(-15\/4) assuming m is positive.\nAnswer: m**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.4 - 2.6. Let r = o - -5. Which is the third smallest value? (a) -0.1 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.32553 months in millennia?\nAnswer: 0.0140271275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (122 - (-1 - 2)) + 0. Let m = l - 120. Suppose 0*v + 8 = 2*v. Solve -1 = -x, 3*f - m = 2*f - v*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*u - 263*u - u**2 - 8*u**3 + 0 + 113*u + 0 to o*u**2 + t*u**3 + n*u + i and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*h + 21 = 0, 6*h - 9*h = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1610\/315 + (-2)\/18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 11*p - 5. Let i be 1 + (3\/3 - -8). Let q be g(i). Suppose q*k - 12 = k. Solve 4*w - 3*t = -t + 24, 4*w - k*t = 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/11*p**2 - 6\/11*p**3 + 2\/11*p**4 + 54\/11*p - 36\/11 = 0. Calculate p.\nAnswer: -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*z = m - 55, 35 = 5*m - z. Let p = 1543 + -1539. What is the greatest common divisor of m and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/2)\/(7\/((-105)\/66)*4143\/2762)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 - -0.07. Let h = 4167.5 + -4167. What is the closest to 0.6 in p, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 8*u**2 - 1193. Let k(g) = -3*g - 9. Determine k(t(h)).\nAnswer: -48*h - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 149 - -186a?\nAnswer: 1a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (27 - -6) + -18.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((44\/(-8))\/(-11))\/((77\/6)\/(-11))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, r: 14}. Give prob of sequence rrir.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -32\/5 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1116215, 1116212, 1116211, 1116212?\n\"Answer: l**2 - 6*l + 1116220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -34. Let w(k) = -178*k + 618. Let a be w(3). Calculate the greatest common factor of a and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 2090.\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1522*w - 1182*w + 146*w)*(-w**2 + 4*w**2 - 11*w + 9*w) to y*w**2 + a*w + c + v*w**3 and give v.\nAnswer: -7674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 800 = -y, 392*y - 5*a = 394*y - 1548. Solve -y = -31*n - 67*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83872235.1 - 0.56\nAnswer: 83872234.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10951 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvvvvllqvlv. Give prob of sequence vvl.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -3053 (c) -15 (d) -3 (e) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 9 = 4*j, 215*v - 5*j = 216*v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(1 + 4*i + 3*i - 5*i).\nAnswer: -8*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 26 = -118*o + 40*o + 83*o + 2*i, -2*i - 20 = -2*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/54, 1, -0.4, 3, 2\/13, 0.09 in ascending order.\nAnswer: -0.4, -1\/54, 0.09, 2\/13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*k + 9*k - 3002, 0 = -4*f + 5*k - 12031. Round f to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i - 11*i + 6*i)*((0*i**2 + 6*i**2 - 5*i**2)*(3*i - 2*i - 2*i) + 41*i**3 + 115 - 115).\nAnswer: 280*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -3*a - 46124 + 46130, -5*w = -3*a + 3 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1983 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3098303192 to the power of 1\/2, to the nearest integer?\nAnswer: 55662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -900500 to the nearest 10000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -957594.\nAnswer: 19\/957594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 3.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57538 (base 9) to base 6.\nAnswer: -453312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 2.7. Let p = 95 - 143. Let v = -53 - p. Which is the third biggest value? (a) i (b) 2\/13 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**6\/240 - v**4\/8 - 14*v**2. Let g(f) be the second derivative of c(f). Let p(b) = -2*b**2. Calculate p(g(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = 39*v - 180 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 9*z - 4. Let u be n(-7). Let a = -11 - -11. Suppose 5*q - u = -a*q. Calculate the highest common divisor of q and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -23\/5, -1.2, -0.28, 0.08, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(80)))**2 + -3 + (1 + sqrt(80) - sqrt(80)) + -1.\nAnswer: 200*sqrt(5) + 2022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 25*m**4\/12 + 19*m. Let v(t) = t. What is v(w(d))?\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 196 = -2*m. Suppose -25 = -23*j + m*j. What is the nearest to 1\/2 in j, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 35. Let m be d(-11). Let f = -14 + m. Suppose 0 = 5*w - 0*b - 2*b + f, 5*b - 25 = -w. Solve 4*g - 3*g - 20 = -3*x, w = g - 4*x + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547689430 a multiple of 5595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 1. Let m(w) = -w. Suppose 0 = -4*q - 4, 5*q + 5 = 3*n - 3. Let o(l) = n*m(l) - 2*u(l). Give o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*y - 25, -2*y + 59*q - 58*q = -15 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 3*c**3 - 2*c**2 + 5*c + 14. Let o(j) = 13*j**2 - 6*j + 7. Calculate -5*o(b) + 7*q(b).\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i + 3155. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232342199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14404 = 4*p, 43364 = -3*r + 3*p + 167. Round r to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/1 + (-24)\/(-16).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -134040?\nAnswer: -134014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 + 139. Calculate the smallest common multiple of 21 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {b: 1, h: 1, a: 1, w: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 20, 2*u - 20 = 4*p + 2. What is the lowest common multiple of u and -1 - 6\/(-9) - 143\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/589 or -1?\nAnswer: -10\/589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -101*a - 79. Let r(h) = 71*h + 52. Let g(w) = 5*f(w) + 7*r(w). What is g(0)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/10 and -53\/2603?\nAnswer: 26030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (368\/52440)\/((-8)\/120).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-24)\/(-35))*6\/(-15)*1.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 > -0.12631625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 941540717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 2*d)*(2 + 1 + 0) + (5*d + 0*d - 3*d)*(-2 + 1 + 0) - 21*d + 19*d - 63*d.\nAnswer: -61*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**3 + 6*z**2 + 6*z + 2228. Let m(p) = -13*p**3 - 10*p**2 - 10*p - 4456. What is -5*g(j) - 3*m(j)?\nAnswer: -j**3 + 2228","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5 - 4*x**4 - 50*x**3 + 220*x**2 - 312*x + 144 = 0. Calculate x.\nAnswer: -6, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 6. Let i(v) be the second derivative of -v**3\/2 - 11*v**2\/2 - 3*v. Let g(u) = 2*i(u) + 5*l(u). Calculate g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2775630 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/103122959 or 1?\nAnswer: -2\/103122959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*k = 4*f - 64, -f - k = -12. Let a(q) = 134*q - 3014. Calculate the remainder when a(23) is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z - 4 + 4)*(0*z - 2*z + z)*((5 - 6 - 1)*(-4*z + 3*z + 2*z) + 0*z + 4*z - 3*z + (z - 2*z + 3*z)*(1 + 4 - 2)).\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -15. Which is the closest to 0? (a) f (b) 1\/4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -130, -263, -396, -529, -662, -795?\n\"Answer: -133*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -945348, -1890711, -2836074, -3781437?\nAnswer: -4726800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/24334 and -93\/6060224?\nAnswer: 139385152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10210120101 (base 3) in base 12?\nAnswer: 37331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*m - 2*v, -1 + 5 = m - v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*i = 8*i + 28, -2*i = 10. Suppose -5*a + 6 = 4*d + 1, 5*a + 30 = m*d. Let c(h) = 3*h + 1. Let u be c(1). Put -4, a, u in decreasing order.\nAnswer: u, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 20 - 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -12. Calculate the least common multiple of x and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p + 8 = 0. Suppose p*o - 5*o = -9. Suppose 150 + 269 = 2*i + o*n, -10 = 2*n. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 + 8.43. Let m = 0.17 + r. Let o = -0.1 + 0.2. Which is the biggest value? (a) o (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*h**2 - 409*h**2 + 1862*h**2 - 721*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 - 3*y + 6. Suppose -2 = 3*s - 11. What is the tens digit of f(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 120207366.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*k**2 + 120*k - 32.\nAnswer: -4*(k - 4)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**4 + 35*l**3*m**3 + 59*l*m**3 - 12*l wrt l.\nAnswer: 36*l**2 + 210*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkoooxnonmomxnom. Give prob of sequence mxno.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 77279832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 10 - 80 - 105 + p + 14 in the form y*p + x and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 2 p when four letters picked without replacement from {x: 2, p: 2, c: 4, j: 3, y: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1263 or -1262?\nAnswer: -1262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29594591 + 29594576.99999952. Let v = -14 - w. What is v rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*m - 1573 = -399*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55388 + -29121. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2222210 - -33?\nAnswer: 2222303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (7168*z**2 + 6588*z**2 - 14670*z**2)*(z + 0*z + 0*z)*(2*z + 0*z - z) in the form o + r*z + s*z**4 + d*z**3 + c*z**2 and give s.\nAnswer: -914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-4)\/(-3) - 3. Let m = 0.8 + -1. Let g = 0.8 - m. Is g at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239706992 divided by -4.\nAnswer: -59926748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 70*v**3 + 5*v**2 + 4*v + 10. What are the prime factors of r(4)?\nAnswer: 2, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -208 + 8a06?\nAnswer: 87cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -14\/11 (b) -4 (c) 1 (d) 1\/36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67622, -69741, -71860?\nAnswer: -73979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1080\/7 - -2181\/14. Put -1\/9, f, -7 in ascending order.\nAnswer: -7, -1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k**3 + 12*k**2 + k + 132. Let a(d) = 31*d**3 + 26*d**2 + 2*d + 263. What is 4*a(t) - 9*m(t)?\nAnswer: -2*t**3 - 4*t**2 - t - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(0*b + 0*b - b**2) - 3*b + 3*b - 6*b**2 - 2*b**2 + 2*b - 2*b + (2 - 2*b - 2)*(-3*b - 5*b + 6*b) in the form g*b + l*b**2 + f and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110011011011101001111111 - 101?\nAnswer: 100110011011011101001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/9776197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13284 + -1?\nAnswer: -13285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 908 = 4*l - 2*n, -l = n + n - 217. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -215, -186, -157?\n\"Answer: 29*d - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 9501498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*c - 8, -2*b + 0*b - 12 = 3*c. Suppose 0 = 2*l - x + 11, b*l - 5*x + 20 = -3*l. Let a = l + 6. Let r(v) = 10*v**2 - v. Determine r(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**6\/105 + 27*c**5\/14 - 13*c**4\/2 + 137*c**3\/21 + 1180*c + 5. Factor n(h).\nAnswer: 2*h*(h - 1)**2*(h + 137)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Let z(t) = 14*t**3 - 23*t**2 - t - 5. Let q(b) = 5*b**3 - 8*b**2 - 2. Let y(o) = 11*q(o) - 4*z(o). What is the units digit of y(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.4 (b) 32860 (c) 1\/4 (d) 3 (e) -0.5 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:36 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 23*w + 3. Let d be b(-3). Let q = 11 - d. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5772, -46156, -155766, -369216, -721120, -1246092?\n\"Answer: -5769*l**3 + l**2 - 4*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 702614.06 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325 (base 11) in base 16?\nAnswer: bec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 280?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 1:43 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47 or -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -700, -699, -698, -697?\n\"Answer: i - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7512 = -3*s + 3*q, 2*s - 5*q - 1435 = 3591. What is the remainder when s is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/21)\/((-3)\/42) + -4 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(9\/(-72)*8\/226)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.3 (b) -31 (c) -1\/10 (d) 5 (e) -1 (f) -14\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -30089*i**2. Let s(h) = 953*h**2. Give u(s(l)).\nAnswer: -27327100601*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50711, 101888, 153065, 204242, 255419, 306596?\nAnswer: 357773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -75 - 61. Let l be (-18)\/((-6)\/(-12)*-2). Suppose 0 = -l*a + 3187 - 775. What is the remainder when a is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1003 by -3.\nAnswer: -1003\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 664, 667, 674, 685, 700, 719, 742?\n\"Answer: 2*x**2 - 3*x + 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*i - 4, -2*n - 2*i = 2*i - 2. Let f be n + 7 - (72 + 0). Let t be (-5 - -1)*1\/5*f. What is the greatest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**(-1)*r)\/r)**(-3\/26))**(2\/19) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7915 + 0.79. What is k rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 15) to base 9.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2880 and -23\/21192?\nAnswer: 2543040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/7 + 2*r**3\/7 + 2*r**2 - 2*r\/7 - 12\/7 = 0. Calculate r.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/2 + l**3\/2 - 7*l**2\/2 - l\/2 + 3 = 0. What is l?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 8 = 4*i, 3*g + 3743 - 3727 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 4:03 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 13*l**2 - 8*l + 25. Let b(w) = -w**2 - w + 1. Let f(q) = -4*b(q) - s(q). Let v be f(8). What are the prime factors of -3*52*(-1)\/v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*28\/16*(-8)\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -5. Suppose -3*d = p*a - 50, 2*d - 5 = d. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422402132 to the power of 1\/3, to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 9\/6*-4. Suppose 4 = 4*u - w. Let l = 25\/16 + -243\/176. What is the smallest value in u, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -747*0.9\nAnswer: -672.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2069, -4129, -6177, -8207, -10213, -12189, -14129?\n\"Answer: m**3 - 2067*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from bffgdgaugdubgda?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3840) + sqrt(3840) + sqrt(3840)*-2)\/sqrt(5))\/(-3*sqrt(64)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = a + 3*n, 14*a - 48 = 12*a + 3*n for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_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 i(c) = -c**2 - 17*c + 141. Let o be i(-23). Suppose -30*l + 33*l = -f + o, -l - 3*f = -9. Which is greater: 1\/301 or l?\nAnswer: 1\/301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-81) - 29\/(-9). Calculate the common denominator of -17\/18 and a - -2*214\/(-88).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 = -h - 0*h, 0 = 3*a - 4*h - 12. Let u be 5\/(((-4)\/(-4))\/1). Sort a, u, -5.\nAnswer: -5, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 327.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1. Suppose 0 = -126*j + 121*j - 115. Let v = j + -7. Let w be v\/(-75)*10\/4. Let f(t) = -t + 1. What is w*q(y) - f(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:32 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 1408?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 173 = -11*v, -18*v + 71 = 3*n - 10*v - 13*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1182, 3419, 6726, 11103, 16550?\nAnswer: 23067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -12*p**2. Let y(c) = 27*c**2 + 6*c. Give y(i(x)).\nAnswer: 3888*x**4 - 72*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 956.0393 millennia in years?\nAnswer: 956039.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3871506*b**3*y**3 + 5*b**2*y**3 + 662*y**3 - 29*y**2 - 66 with respect to b.\nAnswer: 11614518*b**2*y**3 + 10*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-10))\/(-13) + 4\/10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*q + 10 + 6*q - 10 + 6*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*q**3 + 8606*m + 11379*q**3 + 2 wrt q.\nAnswer: 6*m*q**2 + 34137*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkttkt. What is prob of sequence tttt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 966*o + 112. What is h(0)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 110\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -17*g**5\/2 + 1345*g**4\/2 - 13605*g**3\/2 - 13225*g**2\/2 + 871*g = 0. What is g?\nAnswer: -1, 0, 2\/17, 13, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*c - 1 = -13, 3*c + 4 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, 150, 333, 516, 699?\n\"Answer: 183*l - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66152, 53011, 31102, 419, -39044, -87293?\nAnswer: -144334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -3. Let s = 271\/9 - 91\/3. What is the closest to r in 0.5, -1\/8, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1556.286?\nAnswer: 1553.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1028 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1081 - 45 - 722 = -6*n. Calculate the highest common divisor of n and 1166.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - o - 9, 3*j - 2*o - 24 = -2. Let l be (-2)\/1*(-5)\/2. Suppose l*a = j*a + 15. Solve 4*r - a = -3*y, -2*y - 3 - 7 = -4*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61.02138 - -2\nAnswer: 63.02138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8594*u - 8591. Determine i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 413021233 (base 5) to base 11\nAnswer: a53a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/15)\/(1\/9). Suppose 3*l - t + 59 = 0, z*l + 29 = -3*t - 2*t. Is (l + 31)*(-2)\/(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 4:32 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 490*p**2 + 21*p + 81. Let q(u) = 245*u**2 + 10*u + 36. What is -4*a(r) + 9*q(r)?\nAnswer: 245*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 4:53 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-35)\/15)\/7)\/(403\/47151)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(3*sqrt(36) + sqrt(4)))\/((sqrt(7) - sqrt(252)\/sqrt(4))*-4))**2.\nAnswer: 1\/1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y*y*y**(-17)))\/y)**7*((y\/y**16)\/y)**(-12))**(1\/62) assuming y is positive.\nAnswer: y**(152\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 2*u + 2*u + 158 + 5851534*u**3 - 5851531*u**3 - 364.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.76 + -4.76. Is m greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 + 4*d - 2. Let x be g(2). Let f(b) = -b**2 - 6*b + 6. What is the units digit of f(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -212\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**3\/2 - 89*x**2 + 895*x\/2 + 300 = 0?\nAnswer: -40, -3\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhjjjwjwjjjqj. Give prob of picking 1 h and 1 q.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 - -2.8. Let b = 1 - m. Put -1\/5, -1\/6, b in descending order.\nAnswer: -1\/6, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17959.\nAnswer: 17959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 - 3.4. Put l, -2\/9, 2 in decreasing order.\nAnswer: 2, l, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 3*o - 7*o - 2*l, o + 3*l - 33 = 0. Suppose 11 = 3*k + 56. Let y = -5 - k. What is the remainder when o is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85018123.\nAnswer: 347, 491, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 + 0.75. Let w = m - 1. Let p = -29 + 28.7. What is the third smallest value in w, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 2) + 364\/4. Round q to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 3*s + 7*p - 442259992, 0 = s - 4*p - 147419992. Suppose -27*l - 27*l + s = 0. Round l to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1749900 to the nearest 10000.\nAnswer: -1750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(51359\/(-69))\/(-77)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38493 + 57265. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 7:02 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 188*m + 2625. Determine d(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67, 69, 85, 121, 183, 277?\n\"Answer: t**3 + t**2 - 8*t + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.2 (b) -0.1 (c) -0.3 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) -126 (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/5)\/((-78)\/1638*12\/20)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*h = u - 2000, -5*u = 2*h - 5022. Is u a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1720.1 - 1712.237. Let w = 8.2 + -0.4. Let p = z - w. What is p rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + o**2 + o + 1. Let r(u) = -u + 8. Let k be r(9). Determine a(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 k when three letters picked without replacement from {k: 10, g: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1634257\/7 and -233464 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + m**2 + 0*m + 5*m**2 - 2*m**2 - 4*m**2 + (2 - 1 - 3)*(m**2 - m + m) + 3*m - 2*m - m + 383*m**2.\nAnswer: 381*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1800)\/32 + -9)*-20.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5)**(2\/133)\/(((f\/(f*(f\/(f**(-9\/5)\/f))\/f))\/f)\/f**(-2\/5)))**25 assuming f is positive.\nAnswer: f**(11555\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 3*j - 37 = 0, -67784*s + 42 = -67770*s - 4*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 254 + 216. Let f(x) = s*x + 96*x - 184*x. Let c(q) = -4*q**2. What is c(f(u))?\nAnswer: -144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*n + 43*n - 4*p - 34087 = 0, -p = 4*n - 136246. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, 3, -5 in decreasing order.\nAnswer: 3, -5, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.035*582.\nAnswer: 3512.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**3 - 350*y**3 - 1775 + 1765 - y. Let r be o(-10). Round r to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 5.5 (c) 30 (d) 0.048 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226276389 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {d: 4, v: 2, j: 2, q: 3, w: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1694 + -1694. What is the nearest to z in 0.3, 0.4, 8\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45560 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**3 + 7670*c**2 - 113845*c - 121520 = 0.\nAnswer: -1, 16, 1519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 217218387 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 - 6*r + 2. Let g be j(-6). Let z(o) = 52*o**2 + 4 - 28*o**g - 4. Let s(f) = 28*f - 89*f + 26*f + 33*f. What is s(z(a))?\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 914920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -42 + 56 + -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 99, -3 in ascending order.\nAnswer: -3, 3, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26653176 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*d + 512 - 674 = 0. Solve -3*u + 27 = -5*i, d*u - 4*i - 41 = -17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-101 + 53 + 2*z + 44)*(3 - 3 + 3 + 3 - 6 + 4 + (1 - 2 - 2)*(-3 + 0 + 1)) to j + v*z and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 7047588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48695815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/w**9)*w))\/w)**(-1\/12)*w**(-3\/13)\/(w*w*w*w*w**16\/w))**(2\/37) assuming w is positive.\nAnswer: w**(-1435\/1443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 2:10 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3)\/(2\/386). Let p = 65 - b. What is n in p*n**2 + 0*n + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 (base 8) in base 7?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-22) - -2*7356\/81642. Let w = 21001\/17318 - j. Calculate the common denominator of 73\/14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*n + n - 39, -b - 35 = -5*n. Let h = n - 3. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1393843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 + 2*l + 2 - 3*l - 4 as u*l**2 + y + j*l + f*l**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(425)*-5 + 5*(sqrt(17) + -1*sqrt(17)))**2.\nAnswer: -50*sqrt(17) + 10626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1351.879mg to tonnes.\nAnswer: 0.000001351879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13*m**3 - 3*m**2 + 2*m. Calculate h(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + 1*(-1 + sqrt(475)) + 1 + (-1 + 1*sqrt(2299))**2 + -2.\nAnswer: -12*sqrt(19) + 2298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -2.2, -0.06, -2\/7, 18?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 118, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8098748 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: How many minutes are there between 10:33 PM and 2:58 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (19 - ((-22 - -20) + 43))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let v be (-3)\/((-7)\/x - -2). What is the third derivative of 2*k**4 + 2*k**5 - v*k**4 + 2*k**2 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + 70. Suppose 4*y - 292 = h. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -3*j**7\/70 + j**5\/60 + 9*j**2. What is the third derivative of n(k) wrt k?\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 305 - 913\/3. Let z = -0.26 - 10.74. Sort 4, q, z.\nAnswer: z, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + r. Let h(d) = 6*d**2 + 3*d - 5. What is h(y) - 3*z(y)?\nAnswer: 3*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 825 - 825. Factor a + 0*t + 2\/9*t**2.\nAnswer: 2*t**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7072085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -321331?\nAnswer: -321313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/(-20) - -2) + (-469)\/(-140). Factor -27\/4*i**5 + 3\/2*i**2 - 12*i**4 + 0*i + 0 - x*i**3.\nAnswer: -3*i**2*(i + 1)**2*(9*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f)**(1\/4)*(f\/f**(-1))**(11\/6) assuming f is positive.\nAnswer: f**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -64*h + 92. Let n(i) = -20*i + 30. Calculate 7*n(y) - 2*t(y).\nAnswer: -12*y + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002079 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-43)*b**(2\/139)*b*b\/b**(-16)*b*b**(5\/7) assuming b is positive.\nAnswer: b**(-22643\/973)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56161376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p**3 - p**2 - p + 1. Let v be t(1). Let n = v - -6. Let g = n - -16. Sort g, -1, 5 in descending order.\nAnswer: 5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1408719 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27\/45)\/(2\/(-5)). Which is the second smallest value? (a) -3\/5 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-35) - 10\/25. What is the biggest value in -0.5, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 0*q**4 + 1 - 4 + (-3*q**3 - q**3 - 3*q**3)*(-19*q - 25 + 25) in the form l*q**4 + t*q + b*q**3 + d*q**2 + u and give l.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*c - 146 + 11*c + 2*c**2 + 16*c - 18*c + c**3 + 11*c to n + t*c**3 + h*c**2 + x*c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/204 and 41\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*w - 5*n + 15, 4*n - 20 = 0. Let u(z) = -21 - 17 + 39 - 17*z. Calculate u(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 228\/32 - 4\/32. Sort -0.5, z, -1, -4 in decreasing order.\nAnswer: z, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*(f**(2\/3)\/f*f)\/f*f*f)*f*f\/(f*f*f*f**2\/f)*(f*f**(-1\/3)\/f)\/f**(-1\/6) assuming f is positive.\nAnswer: f**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 12 + 1 - 2 - 2 + 0 - 1 + 0 - 1 + (-4 + 6 - 4)*(3 - 6 + 2))*(-7*x + x + 2*x + (-2 - 4 + 5)*(-3*x + x + 3*x)) as m + z*x and give z.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -11411726?\nAnswer: 11411729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 304 = 72*y + 121*y + 9182 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -33, -57, -85?\n\"Answer: -2*i**2 - 14*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85411 is divided by 1678.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103.88 - -104. Is -2\/7 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 13*q - 4. Suppose -t = -4 + 2, 3*v = -2*t + 10. Suppose 35 = 5*g + 3*s, 0*g + 2*s - 10 = -v*g. What is the tens digit of x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3}. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 86. Solve -3*g + p = -k + 2, 3*k + 9 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/20 + 7*j**4\/4 - 4*j**3 - 23*j**2 - 26*j - 9. Give l(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28562175 + 28562175 - 4020*r + (3 - 2 - 2)*(-r + 0*r - r) to the form t + v*r and give v.\nAnswer: -4018","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 - 1 - (112\/22 + 5). What is the nearest to -13 in -1, 0.5, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1073, -1594 in descending order.\nAnswer: -2, -1073, -1594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30419537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1623491432\/55 + -29517057. Let q = 969 - b. Let a = 42.1 - 42. Is a >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 745792743*a**3 + 1139696*a - 92 wrt a?\nAnswer: 4474756458*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = 10*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 10}. Give prob of picking 2 z and 1 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -401, -405, -411?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286465 is divided by 364?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 - (27 - ((11 - 10) + -8))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 4. Suppose -5*v = 4*v + 72. Let l be n(v). Is (-6)\/(-24) - 3715\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1665*j**2 - 1520*j**2 + 805*j**2 + 58*j**2.\nAnswer: -2322*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177885*t**3 - 107182.\nAnswer: 533655*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11620, -23238, -34856?\nAnswer: -46474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/275 and -149\/43650?\nAnswer: 480150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 14. Let x(u) = -5*u + 13. Let c = 10 - 16. Let p(f) = c*g(f) - 5*x(f). Calculate the remainder when p(-6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16581, 33162, 49743, 66324, 82905, 99486?\nAnswer: 116067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 7*q - 10. Determine f(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1845*r. Let t(k) = -6*k**2. Calculate t(q(w)).\nAnswer: -20424150*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32552 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9804 and 64980?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1\/4, 5\/3, 8\/5, 8, 128.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -75, -2, -5, 2, -19?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 = -2*h - 59, 2*b - 6 = 0. Let p be h\/18 - ((-94)\/18 - -5). Let k be 3\/(-2)*(-1 + p\/3). Calculate the highest common factor of 16 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 77812667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) -0.3 (c) -6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 447997 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15084c4 - -1?\nAnswer: 15084c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13448 at least as big as 430325\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, o: 2, k: 4}. What is prob of sequence oki?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 2. Let m be z(-3). Let h be (-36)\/(-60) - m\/(-10). Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/16 and 53\/508712.\nAnswer: 1017424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -2\/11, 2\/7, -0.851, 57?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u - 2*u**2 - 9*u + (-4*u + 0*u - 4*u)*(u + 6*u - 9*u) to the form y + i*u + r*u**2 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -3\/70*f**7 - 6*f**2 + 0*f**4 - 3\/40*f**6 + 0*f + 0 - 1\/20*f**5 - 1\/112*f**8 + 0*f**3. Solve j(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558\/66*5192\/354?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 + (-1088)\/192. Sort 12, -2\/5, 5, v in increasing order.\nAnswer: v, -2\/5, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 0*f + 7*f. Let j(d) = -9*d. Calculate p(j(n)).\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 4.41656?\nAnswer: 22.0828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 2*b - 1. Let r be m(-1). Find the second derivative of -28*a**r - 2*a + 21*a**2 - 5*a wrt a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1\/6, -779?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/9)\/(1848\/528*6\/(-189)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -18*k + 1. Is n(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 - 11*c**2 + 2*c - 4. Let o(n) = n**3 + n**2 + 1. Let j be (-13)\/2 - 2\/(-4). Let u(r) = j*o(r) - b(r). Let l = 4774 + -4770. Give u(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2569 - 1429. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455024 is divided by 52?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 492 and 15?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.44 + 1.34. Which is the nearest to -1\/4? (a) -3 (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i + 18. Let x be 82\/3 - (-2)\/i. Suppose 5*f - x = -2*t, -3*f - 6 = -t + 2. Calculate the highest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 - (-3 - (1 - -16))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**13)\/h)\/h**(-7))**(-41)\/(h**(-5)\/(h*h**(2\/7)*h)*h**2*h**(-3\/2)) assuming h is positive.\nAnswer: h**(3539\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3274*x**2. Let l(i) = 173606*i. Give l(w(d)).\nAnswer: 568386044*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8554317 is divided by 450226?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*v + 145 - 210 = 0, -5*t - 90 = 5*v for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3998380 less than 3998381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 21 + 21 = 0. Let n(w) = w**2 + 5*w. What is the smallest common multiple of n(-6) and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*(sqrt(1872) + sqrt(1872) + 2 + 4) - (-1 + sqrt(325) - (sqrt(13)*-3 + 1))*-2)**2.\nAnswer: 115072*sqrt(13) + 3211664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (98\/21 - 5))\/(6\/(-144)). What is the highest common factor of 644 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**3\/3 + 11*i**2\/2 + i - 875. Calculate n(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + y + 5. Let v(f) = -2*f**2 + f + 4. Suppose 0 = 4*h + t + 17, -2*h - 4*t = -0 - 2. What is h*o(k) + 6*v(k)?\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61514 + -112806. Let o = f + 87992. What is o rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 2\/9 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.071830379 + 0.07184. What is f rounded to seven decimal places?\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*c - 5*j, 1 = -2*c + 3*j - 0*j. Let g(b) = -b**3 - 21*b**2 + 7. Let r be g(-21). Sort r, c, 3 in descending order.\nAnswer: r, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -7. Let y be f*(-2)\/(-10)*0. Solve -2*o + o + 5 = y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -4*f + 15, 28*c = 3*f + 32*c - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 2:27 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from wztwwwtdtttntzddnt?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/5, -1, 0.1, 4, 4\/9?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnnj when four letters picked without replacement from {l: 5, n: 2, j: 12}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 695171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/13 + 116\/117. Find j such that -2\/9 - 4\/9*j - x*j**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -7. Let x(q) be the third derivative of q**4\/24 - 5*q**3\/6 - 2*q**2. Let u be x(i). Solve v + 16 = -3*v, -v = -u*p + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -w + 8*d - 5*d, -65 = -w + d. Let m(j) = -18*j - 45. Let a be m(-6). Which is bigger: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {u: 2, w: 1, q: 1, a: 2, s: 1, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 5)*(-2*o - 5*o + 5*o) + (3 + 1 - 1)*(-2*o + o - 2*o) in the form x*o + d and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -38761.\nAnswer: 38759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1743, 27 in descending order.\nAnswer: 27, 4, -1743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18174827, 18174839, 18174851?\n\"Answer: 12*i + 18174815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22097681.\nAnswer: 29, 619, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1507011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 16*z + 1. Let y be t(7). Suppose 3*a = -4*b + 3*b + y, -72 = -2*a + b. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -15*s**5 - s**4\/12 - 6*s**2 - 82*s - 1. Find the third derivative of x(v) wrt v.\nAnswer: -1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816795?\nAnswer: 3, 5, 7, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, c: 7, q: 4, b: 1, r: 1, u: 1}. What is prob of picking 1 m and 1 r?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30510 + -3?\nAnswer: -30513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 64, 25, -48, -167, -344, -591, -920?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -29564328 divided by -2449\nAnswer: 12072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:33 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 48 = 3*q + q, 5*q = -c + 30. Suppose -2*f + 27 = q*f. Is 598*3*f\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22027.3g to milligrams.\nAnswer: 22027300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12546 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -8*a + 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 767, 780, 793?\n\"Answer: 13*a + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 11*g**2 + 29. Let x be o(-5). Solve -x = 3*m - 5*m, 21 = 5*j - 2*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 14.360706 months?\nAnswer: 0.11967255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 643*m**3 + 319*m**3 - 8*m + 322*m**3 + 2*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/41, 5, 6?\nAnswer: 7\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274969247?\nAnswer: 7, 41, 53, 18077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -3*z**2\/2 - 8*z - 3. What is the first derivative of c(j) wrt j?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -8*d**3 + 5*d**2 + 8*d - 7. Let k(n) = -7*n**3 + 4*n**2 + 7*n - 6. What is -6*k(w) + 5*s(w)?\nAnswer: 2*w**3 + w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 74. Suppose 22*a = 23*a - o. Calculate the remainder when 141 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 2 + 35*j**4 + 139*j - 3*j**2 - 422*j + 149*j + 2*j**3 + 136*j to the form w*j**4 + c + v*j + m*j**2 + z*j**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -20*q. Let z be n(-1). Suppose -67 - z = -3*k. What is the smallest common multiple of (1 + -9 - (-24 + 48 - 30)) + 6 and k?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*i**2 - 18*i**2 - 13*i**2 - 15*i**2 - i**2.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -512 at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/4 + 3\/6. Let m = -48708797 + 120882763. Suppose 2*b = 10, -5*b + 29373991 = -l*n + m. Round n to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 19. Let x be t(16). Suppose 4*n + 862946 = 3*r - 1207038, -x*n - 2759988 = -4*r. What is r rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 2*i - i**2)*(-i + i + 4*i**2) + 0*i**4 + 3*i**4 - 6*i**4 as o*i**2 + j*i**3 + p + x*i + a*i**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 499*g + 490*g - 12*g**2 + 16 - 989*g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22629*133.\nAnswer: 30.09657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q - 176. Give y(11).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4866 or 4862?\nAnswer: 4866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-150))\/(116\/28710)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 13 - 7)*(2*j**4 + j**2 - j**2).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167\/5 + -34. Let y = 0.0635 + 0.9365. Let t = -8 - -3. Sort t, x, y, -0.3 in decreasing order.\nAnswer: y, -0.3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 a when three letters picked without replacement from gaggaaaaagggga.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0 - 35\/6*u**3 + 13\/24*u**4 - 28*u**2 + 0*u. Find the first derivative of t(z) wrt z.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 367007 and 3?\nAnswer: 1101021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4 - 3 - z**2 + 9.\nAnswer: -z**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(1216)*1 - sqrt(1216)) + sqrt(1216))*6 - (sqrt(114)*-1*1)\/(sqrt(60)\/sqrt(160)))**2.\nAnswer: -624*sqrt(19) + 51412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5.1. Let z = 0.11 - -0.24. Let o = z - 0.05. Which is the nearest to y? (a) o (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - t = 101, -621*t = -5*n - 617*t + 89. Put 3, -3, n, -2 in descending order.\nAnswer: n, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-4*5\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**7*m**(-1\/7)\/m*(m*m*m**(-1\/4)*m*m)**(25\/6) assuming m is positive.\nAnswer: m**(1203\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 357841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 13}. What is prob of sequence fyy?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12191 + 17756. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3345 - -44479\nAnswer: 41134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(-1*(-615)\/(-45))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 111673 = -111403 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62d - 2?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -25*g**2 - 40*g - 66. Calculate p(-3).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2\/3 + 24022*k\/3 + 144264121\/3 = 0.\nAnswer: -12011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.12 (b) 0.3 (c) 1\/2 (d) 4\/7 (e) 4.7 (f) -2\/3 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1757578582?\nAnswer: 2, 29, 30303079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*b + 555, -5*b + c + 12 + 1379 = 0. Let x = -282 + b. Sort -9, 3, x, 4.\nAnswer: -9, x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5256*i**2 - 32*i - 64. Let k(t) = -1168*t**2 - 7*t - 14. Let m(b) = -32*k(b) + 7*y(b). Let d(x) = -2*x. Determine m(d(z)).\nAnswer: 2336*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 4*q + 2. Let m be i(-3). Suppose 12*w - m*w = -225. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n - 8. Let i be u(-4). Solve 5*l = 2*l + 4*g - i, 2*g = -l + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62080 - 14708. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28231?\nAnswer: 7, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17856 is divided by 8701?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3143 divided by -449.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114128517 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - v + 4 + 2*v + 0*v - v + (v - 6*v + 3*v)*(-1 + 4 - 1) - 4*v - 5*v - 6*v - 2*v + 2*v - v - 2.\nAnswer: -20*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Suppose 4*c - 2*a = 646, -487 = -m*c + c + 4*a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159 + 82. Let v = b - -77. Suppose 0*n + 5*n - 8 = 3*m, v = -3*m + 12. Solve n*j = -0*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/12 - o**2\/2 + 2*o. Let s(f) be the first derivative of i(f). What are the prime factors of s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1550 and -1.836801127.\nAnswer: -1551.836801127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10643.65 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 441 + 12*s**2 + 8*s**2 - 435 wrt s?\nAnswer: 40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1456 + -7279\/5. Sort -0.01, o, -0.1, -3.\nAnswer: -3, -0.1, -0.01, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -36?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 2*i**2 - 1\/6*i**4 - 1\/6*i**3 + 0*i + 1\/120*i**6 + 0 + 1\/60*i**5. Let y be (-36)\/8 + (-9)\/(-6). Give j(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 328*z**2 + 7*z - 4. List the prime factors of r(1).\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 h, and 1 w when three letters picked without replacement from wqwichwcqw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4737.5 in 3, -20, 4, 5, 0.5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, y: 15}. Give prob of picking 3 y.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 2*j - 21. Let g be t(-6). Let n be 4086\/g - (-4)\/5. Calculate the common denominator of 69\/2 and n\/16 - (-20)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-441)\/90*(-65)\/(-182))\/((-546)\/60)\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/(-40))\/((-6)\/(-8)). Let t be (-64)\/(-16)*1\/f. Solve 0*u + t*u = -10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5020000 + 1?\nAnswer: -5015555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 782 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Solve 9 = g*i - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 + 0 - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**2 + 1138*z + 6671. Give w(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201212221210121021 + -10?\nAnswer: 1201212221210121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102234 (base 5) in base 16?\nAnswer: -4a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0*h + 1\/6*h**3 + 1\/60*h**5 + 0*h**4 - 4*h**2 + 0. Calculate the lowest common multiple of w(2) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + p + 15, p = 3*s - 23. Calculate the least common multiple of 14 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 24*c**3 - 11*c**3 - 6*c**3 - 1 to the form f*c**3 + x*c**2 + b + u*c and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 2, 3\/5, 23, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4881800 divided by 22190.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719942*x**2 - 719942*x**2 + 43963*x**3.\nAnswer: 43963*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.863833 rounded to 3 decimal places?\nAnswer: -0.864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**3 + 92122*z**2 + 1061682478*z + 20138724758 = 0.\nAnswer: -23021, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -7*i**4\/12 + 125*i + 2. Let j(g) = -10*g**2 + 0*g**2 + 7*g**2. Determine j(o(l)).\nAnswer: -147*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 2. Let x be f(2). Let t(i) = -i**3 + 2*i**2 + 2. Let n be t(2). Solve -3*c = -n*c + x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173\/12 - 57\/4. Let g(o) be the first derivative of 0*o - 4\/9*o**3 - x*o**4 - 1\/3*o**2 - 1. Solve g(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {o: 15, m: 3}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11496.5 - 11886. What is o rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from ilarqalagrl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 6*m**2 - 11 - 27*m + m**2 + 3*m**3. Let t(k) = 20*k**3 - 32*k**2 - 156*k - 72. Let f(h) = -5*t(h) + 32*y(h). Suppose f(o) = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 6*y**2 + y. Let p(t) = -t**2 + 14*t + 6. Let f be p(14). Give a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10707 is divided by 5135?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 16\/(-24) + -5. Which is the second biggest value? (a) o (b) -2 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 1.793.\nAnswer: 0.8965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjjx when four letters picked without replacement from cjjccjjcxjjjcjx?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.14728 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83192616 divided by -5512.\nAnswer: -15093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.039391, 2, -2\/11?\nAnswer: 0.039391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/5, -11, 0.05, -1\/3 in descending order.\nAnswer: 5, 1\/5, 0.05, -1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*o + 4*o - 5*v, 5*v - 20 = 0. Solve o*l = -3*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -5\/3 (c) 0.3 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, 1 u, and 1 l when four letters picked without replacement from ksussnlwssssuwkn?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*p + 40, 2*p - 4*x - 11 = 5. Suppose 4 = 3*z - p. Find the third derivative of w**2 - z*w**5 + 0*w**2 + 2*w**5 wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3530118s?\nAnswer: 353011.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)*o)\/o*((o**4*o)\/o*o*o)\/o*o*o\/((o*(((o*o**(-2\/17)*o)\/o)\/o*o)\/o*o)\/o)*o**6 assuming o is positive.\nAnswer: o**(996\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4593760 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 28406.88 months?\nAnswer: 23.6724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 7*z - z + (-3 + 0 + 1)*(-2*z - 4*z + 5*z))*(-2*z**3 + z - z + (25*z + 17*z - 5*z)*(-1 - 2*z**2 + 1)).\nAnswer: 608*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -395*x + 390*x - 30 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-2 - 2\/4). Let h = -454 - -596. Suppose -x*f = 4*u - 60 - h, -u + 40 = f. What is the greatest common factor of f and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4507, 8711, 12673, 16387, 19847?\nAnswer: 23047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -2.5, 2, 340?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18457.5 and -0.018?\nAnswer: 332.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129164?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/4 - 2781*c**2\/4 - 27885*c\/4 - 69775\/4 = 0 for c.\nAnswer: -5, 2791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256386457 or 256386456?\nAnswer: 256386456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 499*d**3*m*x**2 - 7*d**3*x**2 + 463*d**2*m - 52839*d**2*x**2 wrt m.\nAnswer: 499*d**3*x**2 + 463*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/3 + 12*c - 60 = 0.\nAnswer: 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x + 12 = 0. Calculate the lowest common multiple of x and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + 4*q + q**3)*(46*q - 356 + 356).\nAnswer: 46*q**4 + 184*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32349900 divided by -735225.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1326 divided by -6.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 10*w**2 - 10*w - 7. Let t be g(-4). Suppose -s - t = -5. Suppose -5*u = 3*j - 166, -2*u = -5*j + s*j + 48. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 139657839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 7*i - 8. Let r be a(8). Is r at most 2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 1796167\nAnswer: 10777002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 7*j**2 - 2285*j - 6931. What is n(-3)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 6*w - 2. Let x be f(-7). Let y(i) = -6*i**3 + x*i**2 + 27*i - 22*i - 5 + 0. Let g(k) = -k**3 + k**2 + k - 1. Give -10*g(s) + 2*y(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -46, -9, 50, 137, 258, 419, 626?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*d - 60, 5*d - 22 = 5*u - 82. Let n = -12 - d. Let s = 0.03 - 0.43. Which is the nearest to 0? (a) s (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25802)\/437 - (1*(-1)\/69)\/((-18)\/(-54))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - 0.1012?\nAnswer: 76.8988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -3*w + 8*o, 817*o = -5*w + 819*o - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/8 and 19\/922.\nAnswer: 3688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.6 - -37. Let c = 12.59999931 + j. What is c rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54786 divided by -2\nAnswer: 27393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18291 and 30016.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -370526.8105 to the nearest one thousand.\nAnswer: -371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3))**5*w**(-2\/9)\/w**(-12\/5) assuming w is positive.\nAnswer: w**(998\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 6, -6, -1, -135.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - ((-4 - -7) + -2)) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(8\/(-2)*27\/36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381811.\nAnswer: 173, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 30.12.\nAnswer: 6.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.864 less than 14.586836?\nAnswer: 15.450836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**2\/7 - 4723*f\/7 + 102281\/7.\nAnswer: (f - 23)*(12*f - 4447)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79261991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3722 - -320157\/86. What is the common denominator of t and 44?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19348 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: In base 12, what is -132 - -2727b?\nAnswer: 27149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/1)\/(15*2*319\/(-1595)).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + 10*l**3 - 3*l**3)*(l - l - 2*l) + 142 - 142 - 9*l**4.\nAnswer: -23*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25 times -0.19437?\nAnswer: -0.2429625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*c**4*d + 8*c**4 - 27*c**2*d + 10*c*d wrt c?\nAnswer: 2976*c*d + 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 2*v - 17, -4*n = -2*v + 14. Let h(s) = 2*s**2. Let p be h(v). Suppose 451 = p*i - 15. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - h + 8, -h - 62 = -5*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 + 4*u**2 + 147*u - 147*u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -100011221112 (base 3) to base 9\nAnswer: -304845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17096271.\nAnswer: 3, 17, 335221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/9 - 73*o\/3 + 218\/9.\nAnswer: (o - 218)*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 + 10*k**3 - 7*k**3 + (0*k + 2*k - 4*k)*(-2*k**2 + 60*k**2 - 21*k**2))*(-2*k**2 + 3*k**2 + 0*k**2).\nAnswer: -71*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1381\/7 + -197. Let i be -3 + (22\/4 - 2). Sort -2, i, m in descending order.\nAnswer: i, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**2\/2 - 11*j + 32. Determine i(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = -24. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 6, -51 in descending order.\nAnswer: 31, 6, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/152 and (30 - 20\/(-5))*(10 + 535815\/(-53580)).\nAnswer: 7144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279227520.\nAnswer: 2, 3, 5, 11, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*s + 198*s - 518*s + 87*s**2 - 176*s - 608*s wrt s.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((9\/(-2))\/3). Let b(x) = -3*x + w*x - x - 5 + x. Let c be b(-5). Solve c = -3*h - 6 - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Suppose 3*a + 2*y + 13 = 7*y, a + l*y - 14 = 0. What is the units digit of ((-1)\/(-2))\/(2\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 l when three letters picked without replacement from {l: 3, i: 15}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**4*s + 16621602*n**3*s**3 + 3*n**2*s**3 - n**2*s + 59*n**2 - 2*s**3 - 3342*s wrt n?\nAnswer: -48*n*s + 99729612*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - c**2 - 12*c + 48. What is the remainder when r(6) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (12 - 9)\/(4 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 4, -0.4, -2\/83?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*m**2 - 1\/10*m**4 + 2\/5*m**3 + 1\/5*m.\nAnswer: -m*(m - 2)*(m - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:50 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 23*x**5 + 41*x**3\/3 + x**2 + 10. Find the third derivative of a(z) wrt z.\nAnswer: 2760*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 693, 1041, 1389, 1737?\nAnswer: 2085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1129 (b) -4\/7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97703 - 309*z + 309*z - 3*z**2 - 97703.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(49)\/((sqrt(63) - sqrt(7))*4))**2.\nAnswer: 263\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 + 3*l**3 - l**3 + 6*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 502955223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0)*(3*q - q - 3*q) + 98*q - 243*q - 573*q + 28*q as v*q + n and give v.\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 689 and 24.\nAnswer: 16536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {q: 3, i: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*z**2 - 67*z**2 - 64*z**2 + 256*z**2 - 65*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -37541*o + 37269. Calculate k(1).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.02 - 3.95. Which is the second smallest value? (a) -0.29 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1914 - 3*m + 632 + 640 + 640. Let v(y) be the third derivative of 0 + 2*y**2 + 1\/24*y**4 + 0*y + 1\/6*y**3. Give 4*g(o) + 10*v(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -6 - 4. Let x = 11 + -8. Suppose -x*i + 191 = -c*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by (-48)\/168 + (-80)\/14 - -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + -5 + 5 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 1003?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 57199.3 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 1\/2*z**2 - 16\/5*z**5 + 1\/30*z**6 + 2\/3*z**4 - 10 - 5*z + 0*z**3. What is the third derivative of g(i) wrt i?\nAnswer: 24*i - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {a: 1, t: 2, w: 1, j: 2, u: 1, l: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p + 3. Suppose -8*g = 13 - 5. Let w(s) = s + 1. Suppose 0 = y + y - 8. Calculate g*a(v) + y*w(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*-6*22\/(-2244)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 266*l + 13057. Determine n(-49).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-13)*-1*380\/(-20)*(-2)\/(-1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 290367\nAnswer: 2032569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 748*0.4\nAnswer: 299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(sqrt(152)\/sqrt(8))**2 + -2.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*p**2 + 3 - 68*p**2 + 141*p**2 + 0.\nAnswer: -3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3 + 5\/(-9). Suppose -13*s - 13 = 28*s - 54*s. Which is the second biggest value? (a) s (b) -2.2 (c) j (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -11. Suppose 0*n - i*n = -90. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 3*w - 3*v, -4*w - 3*v = v - 12. Let d be w\/(((-3)\/(-3))\/(-1)). Let t = d + 12. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15\/4 of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -18 + -32 - (1 + -8 + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/11 + 579764*u\/11 = 0?\nAnswer: -289882, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**2\/2 - 13*r + 53. Let w be c(-11). Sort 16\/15, -1\/6, w in descending order.\nAnswer: 16\/15, -1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 773 - 746.55. Let g = s + -26. Let m = g - 0.449924. What is m rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i - 7997 + 8609 = 0 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 1:17 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 23332968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2040, -31, -4, -0.3, -3 in decreasing order.\nAnswer: 2040, -0.3, -3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/5 - 3053136*v\/5 - 1221256 = 0.\nAnswer: -2, 1526570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:14 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -418.36752 + 418.2. Round n to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*r + 6*r**4 - 135*r + 50 - 2*r**2 - 48 to j*r**3 + t + m*r + d*r**4 + c*r**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 0. Let b(k) = -k**3 - 12*k**2 - k - 8. Let x be b(l). Suppose x*m - 140 = -m. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:08 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 + 50 + 3264*k**3 - 206*k**2 - 32 wrt k.\nAnswer: 19584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-14) + 3349\/(-714)*-12. Calculate the highest common factor of a and 1386.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nen when three letters picked without replacement from ereewnnwrnemwernsn?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.3 - -7. Let m(g) = g**3 - 5*g**2 - 4*g + 3. Let v be m(6). Let d be (58\/v - 4) + 172\/390. Is h at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 5)*(-105*a - 1 + 89*a + 0) to j*a + n and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62.5 + -62. Let o = 34 - 29.1. Let x = 0.9 - o. What is the third smallest value in -1, x, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**12*l*l*l*l**(-14)\/l*l)\/(l**15\/((l*l**(-2\/37)*l*l)\/l)))**(5\/16) assuming l is positive.\nAnswer: l**(-1115\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28073826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 96 + -58?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - 5*f)*(0 + 1 - 3)*(-104 + 104 + 81*f**2).\nAnswer: 324*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*f + 2225 - 2319, -19*f + 66 = -3*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - 31 + 5*u**3 - u**2 + 2*u**3 + 11*u**3 + 4*u + 28 in the form d*u**3 + f*u**2 + k + b*u and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 r when three letters picked without replacement from rllnmmlllnlnxxxlmrl?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -848 + 1522. Let a = 954 - p. Suppose 5*y + 2*w = a, 63 = -0*y + y - w. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 + 22*l + 3. What is the remainder when 589 is divided by i(7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202010111101111 + -1?\nAnswer: -202010111101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/5691 + 16833989\/62601. Let t = s + -266. Calculate the common denominator of t and 95\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 4.96. What is the closest to 2 in 1, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66174 is divided by 4608?\nAnswer: 1662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 8. Let w be i(7). Let o(z) = -5*z + w*z + 2 - 5*z + 2*z**2. Let k be o(2). Calculate the greatest common factor of k and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*w + 5*a = -6, -2*a = 4*w - 8. Let x = -100 + 5. Sort -5, x, w.\nAnswer: x, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + r. Let i = 0 + -19. Suppose -h + 21 = 3*c, -3*h = -5*c - 29 - 6. Let g = h + i. Let u(o) = 2*o**3 - 3*o**2 - 4*o. Determine g*j(l) - u(l).\nAnswer: -2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2*g**2 - 2666*d**2*g - 13*d**2 + 6*d*g - 5*d + g + 840 wrt g.\nAnswer: 2*d**2*g - 2666*d**2 + 6*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 943\/3 - 3763\/12. Let a(k) be the second derivative of -k + 0 + 0*k**2 + 0*k**3 + 1\/5*k**5 + w*k**4. Find the third derivative of a(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-63) + 1514\/(-42) - (20 - 5500\/300)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9225\/492 - (-75)\/(-20) - 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 202 and 9157183823501?\nAnswer: 9157183823299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067780891?\nAnswer: 37, 733, 39371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 17*d - 13. Let v be j(-18). Solve 4*k + 2*m - 4 = 16, 4*k + v*m = 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 + 28*x - 10. What is d(8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 2*h**5 + 0*h**5 + (4*h**2 - 2*h**2 + 2*h**2)*(3*h - 3*h + h**3) + 0*h**5 + h**5 + 0*h**5.\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 48*q. Let c(z) be the third derivative of z**4\/12 - 170*z**2. Give c(u(y)).\nAnswer: 96*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 10:22 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4028894, 4028886, 4028878, 4028870?\nAnswer: 4028862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + m**2 + 5*m**2)*(-421*m + 795*m + 4 - 394*m).\nAnswer: -60*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 3 (b) -1 (c) 2\/2351 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 198*m - 4 + 193*m + 3*m**2 - 4*m**2 - 4*m**2. Let t = 6 - 10. Let w be v(t). Sort w, 5, 1 in descending order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1131.307357 to 1 dp.\nAnswer: -1131.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6766.973 years to centuries.\nAnswer: 67.66973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750*w**2 - 381*w**2 - 375*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -239137*x**3 + 2013062 wrt x.\nAnswer: -717411*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11025 is divided by 607.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8 - 1. Let a(p) be the first derivative of -3*p**2 - p**5 + 10 + r*p**2 - 4*p - 6*p. Find the first derivative of a(m) wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65946853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, c: 3}. Give prob of sequence ckc.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 3, c: 3}. What is prob of sequence cb?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794*f**2 + 67*f - 810*f**2 - 67*f + 1605*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91208144.\nAnswer: 2, 593, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d82 (base 16) to base 12.\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 18*l + 1276. Let j be c(-71). Which is smaller: j or -0.1074?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -1 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.34 - -0.06. Let n = 3301.756 + -3291. Let s = n - 0.756. Which is the third smallest value? (a) 1 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d**2 - 429*d - 1364. What is a(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 2, 3, -3 in descending order.\nAnswer: 5, 3, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -541 and -1062745.\nAnswer: -1063286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -365 + 570. Calculate the remainder when y is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 21*w - 26*w + 499 = 0, -3*b = -3*w - 381. Calculate the remainder when b is divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 142096714 to the power of 1\/3, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.49 - 0.43. Let y = -8.46 + l. Let b = 10 + y. What is b rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)*-1)\/sqrt(2) - (sqrt(98)*2)**2.\nAnswer: -392 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-4*(-9)\/12). Factor -4\/7*o + 2\/7*o**j + 2\/7*o**2 + 0.\nAnswer: 2*o*(o - 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvpvdvpddddd. Give prob of sequence pvd.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 1:18 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*p**2 - 15*p**2 + 63*p**2 + (p + p - p)*(-5*p + 2*p - p) - p**2 + 1 - 1 + (-2*p - p + p)*(3*p - 2*p - 3*p).\nAnswer: 66*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 1. Let g be d(1). Let z be g\/((-1)\/(-3)*-1). Let q(r) = r**3 - 4*r - 3. Let f be q(-2). Put z, -1, f in ascending order.\nAnswer: f, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwywpwpxry. Give prob of sequence xy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.78 + -1.6. Let k = j + -0.1826. What is k rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/3)\/(6\/(-3))*-285?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/4 and (-12)\/((-40)\/(-16)*93\/(-5))?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/7)*y**(-10)*y assuming y is positive.\nAnswer: y**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = -5*n, -4*n + 5*n + 3*z = 0. Let h(c) be the second derivative of 2*c**2 - c - 2\/3*c**n + 0. What is the first derivative of h(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 9, -2\/7, -14, 1\/4, 1 in ascending order.\nAnswer: -14, -2\/7, 2\/23, 1\/4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -817, -805, -785, -757?\n\"Answer: 4*r**2 - 821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 302*h**2. Let c(w) = -27*w + 1008. Let q(u) = -u + 42. Let v(o) = -c(o) + 24*q(o). Give k(v(a)).\nAnswer: 2718*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49535851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/2 + 1\/1. Let a be (-1 + 12\/15)\/((-8)\/20). Put 2, w, a in decreasing order.\nAnswer: w, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 23*s**2 - 17*s - 17. Let n(f) = 11*f**2 - 6*f - 62 - 3*f**2 + 56. Let d(o) = 17*n(o) - 6*p(o). Let k(r) = 11*r**2. Give k(d(y)).\nAnswer: 44*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from nii.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 947362411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2448)*2)**2 - (-4 + (sqrt(833)*-1)**2).\nAnswer: 48131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*i - 293*i + 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2826*j**2 - 147*j - 1611. Let r be i(-11). Round r to the nearest 1000.\nAnswer: -342000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 3, m: 7, v: 6}. What is prob of picking 3 v?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2. Let y = -3 - -10. Let v = -5 + y. Let m(t) = 0*t**2 - 4*t**2 + v*t**2 + 0*t**2. Calculate q(m(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/4, -4\/3, 2\/19, 67.55 in increasing order.\nAnswer: -4\/3, -3\/4, 2\/19, 0.4, 67.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -3*s**5\/20 + 11*s**4\/6 + s**3\/2 - 65*s**2\/2 + 12258*s. Determine t(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2420 - -3?\nAnswer: -2413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 5*j = 8*j - 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.511 + -0.011. Suppose -y + 1 - 27 = 2*u, -2*y = -4*u + 60. Let d = y - -139\/5. What is the nearest to 2\/7 in d, 2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9 = 4*a - 68, -5*z = 4*a + 93. Let b = 13 + z. Put -2, b, -5 in ascending order.\nAnswer: -5, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = s + 18. Let h be 4\/(-6) - (s + 254\/(-66)). Solve -2\/11 + 0*u + h*u**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2548)*-2)**2 + 4.\nAnswer: -168*sqrt(13) + 10205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q - 48. What is the remainder when 56 is divided by f(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4045, 4081, 4117, 4153?\nAnswer: 4189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1389*k**3 + 14*k**2 + 23*k. Let w(z) = -347*z**3 - 3*z**2 - 6*z. Let c(p) = 2*n(p) + 9*w(p). What is the third derivative of c(u) wrt u?\nAnswer: -2070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13315 + -11535. Calculate the highest common divisor of s and 534.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 12 = -3*v, -3*i + 0*i = 2*v + 1. Suppose -7*g + 10*g = -30. Let w be 10\/(-60) - g\/24. Which is the third biggest value? (a) w (b) -1\/8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 12:03 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -8. Let p be (-2)\/7 - 74\/(-14). Let c(m) = -m**2 + 10*m - 7. Calculate the lowest common multiple of r and c(p).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 622524, 622466, 622326, 622068, 621656, 621054, 620226?\n\"Answer: -6*t**3 - 5*t**2 - t + 622536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507814?\nAnswer: 2, 253907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/6)\/((-1)\/(-74)). Let c = j - -77. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -42. Let p be (4 - 1) + t\/5. Suppose -2*q - 4*s + 4 = -0*q, 0 = 5*q - 3*s + 3. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, f: 3, k: 12}. Give prob of sequence foof.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, u: 6}. Give prob of sequence cu.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1416440290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 118*q - 1005. Is 2 a factor of k(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 7:46 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 87. Let d be n(22). Let w(x) = -13*x**2 - 2*x - 1. What is w(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 2*381 - (216 - 220). Let t = 778 + y. What is the remainder when 134 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p. Let h(q) = -8076868*q - 15. What is h(r(b))?\nAnswer: -24230604*b - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -74588, -298090, -670594, -1192100?\n\"Answer: -74501*y**2 + y - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192*m**3*v - 307730*m**2*y**2 + m*v*y**2 + 1427*m*v*y + 875*m wrt m.\nAnswer: -1152*m*v - 615460*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000583 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(45)*-1)\/sqrt(9) - (sqrt(10)\/sqrt(2)*-5 + 0)**2.\nAnswer: -125 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 6. What are the prime factors of 2*1\/i*-68?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 10*l - 7. Let i be -1 - (6 + (0 - (-3)\/1)). Give y(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.06 (c) 3.8 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -42 and 62.039612.\nAnswer: 20.039612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(140\/(-21))*-1*1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 9 - -4) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-3))\/((-7)\/(-294)). Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165356 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 7*u**2 - 4*u + 19. Let i be x(-8). Let r = 30 - i. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*m - 4*m**3 - 101*m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 25\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15ba15 (base 13) to base 4.\nAnswer: -2003311011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 113702 + 206?\nAnswer: 114110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 11:15 AM?\nAnswer: 649","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:36 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -130. Solve -3*l - g = -1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 887866 a multiple of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*i + 8 = 0, 3*z + 4 = -4*i - 10. Let y(r) be the second derivative of r**3\/3 + 8*r. Calculate y(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -1565 + 1698. Is -27 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 11*k - 10. Calculate p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100 + 14?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1874, -1873, -1872, -1871?\nAnswer: -1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30a7 - 61?\nAnswer: 3046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1809 + 2 + -5 + 2. Let f be (h\/(-24))\/(2\/(-6)). Suppose b = -i + 64, 4*i - f = -b + 3*b. What are the prime factors of i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -101*s + 106*s. Suppose 9*k - s = -k. Which is smaller: k or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m - 9. Let p be v(-2). Let d(u) = u + 5. Give d(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 + -112. Let a be 22 - w - 1*(-2 - -1). What is the second derivative of 4*g**4 + 12*g + 8*g - 15*g**a + 8*g**4 wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21310 + -21216. Calculate the highest common divisor of 10669 and o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 383940*o + 18426240450.\nAnswer: 2*(o + 95985)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.031 * 2.8.\nAnswer: -0.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 37*l + 30 - 30 + 49*l + 15*l. Let p(w) = -4*w. Determine p(a(z)).\nAnswer: -404*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224696546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y + 59*y = 327*y + 7107 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -1\/65, -2, -0.1?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(8))\/sqrt(2) + 5*(sqrt(52))**2.\nAnswer: sqrt(13) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003449006934 to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/3*(-999)\/(-111).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:45 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-49)\/196 - 171844\/(-32)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/2699 and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 q, and 1 a when four letters picked without replacement from {q: 3, n: 7, c: 2, l: 1, v: 5, a: 2}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 21\/2*w**2 - 2*w + 6. Let i be g(2). Calculate the highest common divisor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 26. Let q(o) = -593525*o - 2*o**2 + 593525*o. Calculate q(m(j)).\nAnswer: -8*j**2 - 208*j - 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 10:22 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:33 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5775 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**2 + 70*y**2 + 26*y**2 + 6*y**2 + 73*y**2.\nAnswer: 166*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {i: 1, m: 5, z: 6, n: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5908*34\nAnswer: 200872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1948 - -40910\/21. What is the closest to n in -2, -3, -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -512 + 517. What is the third biggest value in l, -0.3, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*d - 130*d - 98*d - 46*d to z*d + m and give z.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 304, 1560, 3444, 5956, 9096, 12864?\n\"Answer: 314*o**2 + 314*o - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 1764 - 342. Suppose -12*o - l = -734. Suppose -5*p = -2*p - 108. What is the highest common divisor of p and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-104)\/5538)*((-21)\/(-9) + -1). Calculate the highest common divisor of 4615 and p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -51*v + 5. Let t be a(0). Solve t*c + 4*n + 30 = -n, 2 = -5*c + 2*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 56 - 8. Sort -4, k, -3, -18.\nAnswer: -18, -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1006618 and -9\/1713799?\nAnswer: 270780242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18, -5523.\nAnswer: -5523, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (9 - 6 - 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 11*c + 2. Let x be l(11). Let f be 4\/8 - 3\/x. Let a be f*((-3 - -3) + -4). Solve 0*n = -a*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -790*k - 7255 + 7255 in the form v*k + b and give v.\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/308)\/((-4)\/16).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 1365?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.007 and -0.2.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(75) - (sqrt(75) + 0)) + 5 - -5*5*(-1 + sqrt(75) + sqrt(75)))**2.\nAnswer: -12000*sqrt(3) + 188076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.172537 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 4:32 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 2. What is r(13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + -1 + -13 + 6 + -6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*d**2 + 311*d + 632*d**2 - 311*d - 221*d**2 - 189*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 0 - (-156 - -188).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 231600 and 65880?\nAnswer: 127148400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -154, -345, -628, -1015, -1518, -2149, -2920?\n\"Answer: -2*g**3 - 28*g**2 - 13*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2682\/(-12)*4\/6. Let w = s - -236. Suppose -5*j + w = -53. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 7*u - 15. Suppose -3*g - u*o - 16 = -g, 0 = -g + o + 6. Solve 0 = -h - 4*n + 11, h + n - g = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 18\/(-10) - 6\/30. Let t(o) = -o**2 + o - 1. Let q(b) = b**3 + 4*b**2 - 4*b + 5. Give h*t(d) - q(d).\nAnswer: -d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6817, 5889, 4961, 4033, 3105?\nAnswer: 2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/6*-2 - 22\/33. Let d be (81 + a)*((-27)\/(-5) + -3). Suppose -187*r = -191*r + d. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 336.9384m?\nAnswer: 0.3369384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525 by 60.\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 12*s - 6. Suppose -2*l = 2*l - 20. What is the smallest common multiple of a(l) and 9*(-4)\/8*-2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 13. Suppose -9 = t + 5*y, 2*t + l*y + 4 = -y. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -682, -815, -1214, -2023, -3386, -5447?\n\"Answer: -24*f**3 + 11*f**2 + 2*f - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.009 + -2.091. Let m = -2.0999934 - v. What is m rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4095000 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/12 and -15\/214?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z + 4*z**2 - 5*z - 5*z**2 - 4. Let t be w(6). Let c = t - -70. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/(-9))\/(4\/18 - 0). Suppose -40*j = -a*j + 6. Sort j, 0.2, 0.5.\nAnswer: 0.2, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -57720*l. Let q(r) = -r. What is i(q(p))?\nAnswer: 57720*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 51.680945\nAnswer: 258.404725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/12 - 6*m. Let x = 15 + -13. Let i(u) = 612 + 2*u**x - 612. Give s(i(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 3708 + 4*y + 3709 - 7417.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/2646 and 127\/14742?\nAnswer: 103194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + r = -r + 58, -g + 32 = 4*r. Let q = -46 + 29. Let x = g + q. 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 smallest common multiple of 256 and 8\/12*-8*(-576)\/6?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/5 - 33249*d**2\/5 - 92141289*d\/5 - 92108043\/5 = 0. Calculate d.\nAnswer: -5541, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 0 - 3)*(40 + 29 + 53 + (1 + 0 - 2)*(2 + 2 - 6) + 2 - 3 + 0)*(-3*r + 2*r + 3*r).\nAnswer: 2214*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 1668*q**2 - 1670*q.\nAnswer: 2*q*(q - 1)*(q + 835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/12 + i**3 + 6*i**2 + 2*i. What are the prime factors of t(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.85 - -118.15. Let s = 120 - q. Let b = -4 - -3.9. What is the closest to s in 5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, g: 10}. What is prob of sequence xgg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 343085. Let r(u) = 408*u. Give z(r(k)).\nAnswer: -816*k + 343085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:18 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.34 and 21922.1.\nAnswer: 21921.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 566305952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 174 (b) 5 (c) 0.2 (d) 0 (e) 31 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/42 and 61\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 + 66 = -p, -3*t = -4*p - 81. Suppose -8*i = t*i - 806. Calculate the greatest common factor of i and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7041 - -7043. Solve 2*b = r*n + 10, -4 - 21 = 3*n - 5*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 268, 501, 696, 853?\n\"Answer: -19*x**2 + 290*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -110793.\nAnswer: 664758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17540 - 17505. Calculate the greatest common factor of 945 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 13*o - 364. Calculate b(-29).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 67, 85, 127, 205, 331?\n\"Answer: 2*h**3 + 4*h + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -277*r**3 + 5*r**2 + 40*r + 5. Let w(j) = -1524*j**3 + 28*j**2 + 224*j + 28. Give -28*i(y) + 5*w(y).\nAnswer: 136*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.1 (b) -13 (c) 0 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 25 + 0*x**2 + 4*x + 4\/3*x**3 - 1\/4*x**4. Determine v(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 7:45 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 8*j - 10. Let p be c(-7). Suppose 3*g = 2*y - 15, 6*y - y + 3*g = 6. Put -5, y, p in decreasing order.\nAnswer: y, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 5*t**2 - 11*t - 6. Let a be q(3). Solve a*p = 157 + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, 2, 14, 42, 92, 170, 282?\n\"Answer: i**3 - i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 2*d**2 - 3*d**2)*(-32*d**3 - 27*d**3 + 56*d**3) - 4*d**5 + d**5 + 2*d**5 - 338*d**5 - 90*d**5 + 70*d**5.\nAnswer: -362*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -92, -125, -90, 7, 160, 363?\n\"Answer: -v**3 + 40*v**2 - 146*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/((-990)\/(-24))*(-27)\/(-18). Which is the nearest to 0.1? (a) 0.5 (b) -26 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1 - (-2)\/3). Let b(l) be the first derivative of l**4\/4 + l**2 - 3*l + 14. Let s be b(k). What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 49*k**5 + 43*k**5 - 22 - 6*k - 90*k**5. Differentiate f(w) with respect to w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2941 or 2940?\nAnswer: 2940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4, -21 = 4*m + 3*f - 4. Which is the nearest to -3? (a) -39 (b) -3 (c) 4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4328357, 8656716, 12985075?\n\"Answer: 4328359*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 + i - 4. Let x be a(6). Let q(h) = 3*h - 5*h**2 + 0*h**2 + 3*h**2 - 3. Give q(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2957 - 2952. Which is the nearest to -0.005? (a) -4 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56 - 11331?\nAnswer: -11387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110010100010 - 0?\nAnswer: 10110010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + -13.02. Let h = -15 - b. Let v be (18\/(-486))\/((-1)\/(-2)). Sort -4, v, h.\nAnswer: -4, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42201 and 2349.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 + -78.016. Round p to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + s = -8, -4*s = h - 19 - 1. Suppose -h*u + 928 = -2*u. Suppose -u = -3*o - o. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10221657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**6\/24 - 3*f**5\/20 + f**3\/3 + 28. Solve l(a) = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662350 is divided by 542?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, k: 2, s: 4}. Give prob of sequence skb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2573006?\nAnswer: 2, 1286503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*d**2 + 187*d**2 - 39*d**2 + 1361*d**3 in the form f + v*d**2 + m*d**3 + c*d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -17143*r + 102845. Determine a(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 595*u + 380 with respect to u.\nAnswer: 595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 - 5*k**3\/3 - 13*k**2\/3 - 7*k\/3.\nAnswer: k*(k - 7)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -371 + 1705. Let l = f + -1333.99998801. Round l to seven dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -68. Let b = -58 + d. Let l = b - -217. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148\/1065 - 2\/355. Let n = -85 + 85. Which is the third biggest value? (a) -2\/11 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.73 + -0.27. Sort 5, 3, o in descending order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 2. Let x be p(5). Suppose 2886 - 831 = x*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/7, -44122, 0, -2, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -48546, 0, 0.3, 188?\nAnswer: -48546","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.11351 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*g - 5*n, 15*g - 2 = 18*g - 5*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*((u\/((u*u**(2\/5))\/u))\/u)\/u)\/u)**(-14))**(-2) assuming u is positive.\nAnswer: u**(-196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*g**2 + 1 + 4*g**2 + (-5*g + g + 14*g)*(-3*g + 4*g + 2*g) as q*g**2 + t + a*g and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/23780 and -11\/25502.\nAnswer: 7395580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2836 + -2442. Calculate the remainder when g is divided by 104.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2\/11, -1\/3, -0.2, 4, 6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 477 + -482. Let h(f) = f**2 + 9*f + 12. Calculate h(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -244 divided by 5526\nAnswer: -122\/2763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5546075?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20735 + 11905. Round f to the nearest 100.\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**16*t)\/t*t*t)\/t**16)\/(((t\/(t**(-5)\/t*t)*t)\/t)\/t*t\/(t\/t**24)) assuming t is positive.\nAnswer: t**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203854.9517002 + 1590601.3516372. Let t = -1386731.9 + m. Let a = -14.5 + t. Round a to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 264 = 0. Let l be (1 - 15\/(-7))\/((-6)\/(-42)). Calculate the highest common divisor of w and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164700401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 46*j + 12. Let u be t(23). Find the third derivative of -u*i**3 - 6*i**3 + 20*i**3 - 21*i**2 - 13*i**3 wrt i.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q. Suppose -21 = -4*d + 3. Suppose -3*y - d = -2*y. Let j(p) = -11*p. Let s(f) = 264*f. Let x(h) = y*s(h) - 143*j(h). What is 5*k(m) - 3*x(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*o - 3*o - 195 = 0, -2*o = -b + 99. Suppose b = -22*t - 9*t. Sort -115, -2, t in descending order.\nAnswer: -2, t, -115","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/10*6\/12.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2930 less than 2930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-22) - (-20572)\/(-1529).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.045 and 0.4?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3660157 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/(-45)*-9 - -4) + 4. What is the second biggest value in 0.7, -4\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3142*k - 119 wrt k?\nAnswer: 3142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rroo. What is prob of sequence roo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21322 + 30833. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 7 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enfeeeeneefffeee. Give prob of sequence ne.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (2 - 4) - (-1 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {m: 1, l: 3, x: 3, g: 1, a: 1, i: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(539) + (4 + sqrt(45))**2 - (3 + (sqrt(405) - (sqrt(405) + (sqrt(405) + (sqrt(405) + 0 - sqrt(405)))*4)**2)).\nAnswer: 106*sqrt(5)\/7 + 10183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 11*x + 470. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -79*p**5\/5 + p**2\/2 + 17*p + 73. What is the second derivative of q(n) wrt n?\nAnswer: -948*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 8*q + 11*q + 48 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 - 5*h**3\/3 + h**2\/2 + 3*h - 2. Determine k(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3233.\nAnswer: 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*w - 141*w + 34016 = 0. Does 64 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42*70\/(-3675))\/(1*(-2)\/(-30))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002917 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 8:20 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j + 2. Let p(s) = -3*s + 2. Suppose -3*m + 15*m + 48 = 0. What is m*p(l) + 3*x(l)?\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*y - h + 14 = 63*y, -4*y + 2*h = -32. Suppose 4*m - 3*g - 22 = -5*g, 2*g = m - 18. Solve m*a = y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5710589160 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167990 is divided by 5220?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -183*o - 9 - 19*o**2 + 41*o**2 + 185*o - 21*o**2. Give q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 4 = 2*q, -2*q - 231 = 2*i - 229 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9*r**2 + 11. Suppose -2*f = -5*g + 4, 4*g = -4*f - 3 - 5. Let s(w) = g - 1 - 5*w**2 - 5. Give -6*a(j) - 11*s(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 7. Let y be n(-5). Let r(c) = -c**3 - 3*c**2 + 4*c + 6. Let h be r(-5). What is the highest common divisor of y and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 8*a - 9. Let g = 1 - 4. Let j be 3\/1 - (0 + g). Determine s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 25 = 3*k, 2*k - 3*k = 3*p - 1. Let o be (3 + 0)\/(k - 6). Suppose 0 = -2*z - 4*x + 16, 7*z - x = 3*z - 4. Solve -2*d + o*d + 5 = z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/10)\/((-14)\/(-35)). Which is the nearest to h? (a) 0 (b) -3\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*d + 206 + 2 = -159*d - 3037 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*k**2 - 18 + 29 - 11.\nAnswer: -276*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560 and 800912?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*f - 5, 12279*f - 2*g = 12282*f - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 4. Let j be (x - -10) + 3*1. Let f(k) = 4*k - 5*k - j*k - 6*k. Let l(z) = -z**2. Give f(l(i)).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191212 - -191206.00001. Let s = -907 + 901. Let b = d - s. Round b to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 20, 33, 50, 71, 96?\n\"Answer: 2*m**2 + 3*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 530017475 to the nearest ten thousand.\nAnswer: 530020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488672981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 329, 135, -59, -253?\n\"Answer: -194*f + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + 296022\/90 - (-14)\/(-105)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/26731 or 6\/169?\nAnswer: -2\/26731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/194403 and 81\/548.\nAnswer: 777612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14496082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1842 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2 + 20*d + 83. Give n(-4).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 212138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**4 + 27*s**2 + 40*s + 15. Let y be 14\/6 - (-148)\/222. Let c(k) = k**2. Let u(p) = y*c(p) + a(p). Let u(h) = 0. What is h?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*h + 10*h + 17*h + 28*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3\/4 + 534471*c**2\/4 - 71415079695*c\/4 + 71414545225\/4 = 0.\nAnswer: 1, 267235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -297*k - 1. Is f(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41884 divided by 4?\nAnswer: -10471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -2*k**6\/15 + 8*k**3\/3 + 2*k**2. What is the first derivative of y(u) wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*((-7)\/10)\/(22\/3796045) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2739 a factor of 41662929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -24 + 52 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u + 8 - 7*u - 7*u. Calculate h(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -5. Let o = 2.8 - f. Let x = -0.199996 - o. Round x to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/19, 0.01157, -3 in increasing order.\nAnswer: -3, 0.01157, 1\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*t + 5*t - 11*t)*(1 - 1 + t)*(-t**2 - t**2 - 3*t**2) to u*t**4 + j*t + z + b*t**2 + s*t**3 and give u.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2 - 2 + 4*f - 1. Give n(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287757320 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4 + (-5 + 2 + 1)*(-1 - 1 + 0))*(19*k + 8*k - 7*k).\nAnswer: 140*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 72 - 35)*(-3*c - 3*c + 7*c) in the form r + w*c and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j + 2272 = 364. Calculate the remainder when 148 is divided by 54 - j - (-1 - 38).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 17\/3, 6\/11, -2, -6, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, -548, -1417, -2570, -3995, -5680?\nAnswer: -7613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003954 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (17 - (46 - 20) - 4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -l - 5, -4*l + 21 = 9. Find the second derivative of -24*n**2 - 15*n - 39*n**2 + 71*n**f - 11*n wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11526.\nAnswer: 2, 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 4, -0.5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 53 - 43. Let g = o + -31. Let q(y) = -8 - 3*y + 8 + 0*y. What is q(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.38 + -152.\nAnswer: -153.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 6*t + 19. Suppose s = 3*w + 4*s - 18, 2*w - 3*s - 22 = 0. Let g be v(w). Solve -5*o + m = -24, g*m = o - m - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148622311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 plus -3074?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -21. Let q be 8\/2*x\/(-6). Solve l - q*l = -10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 11:30 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 17. Let s be g(9). Let q be (s - -3)\/(1\/6). Solve 37 - q = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27\/(-54))\/((-1)\/22). Solve -15*q - 8 = -d*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 59741*v - 20550664. What is c(346)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64199973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-40) + 30\/(-100))*(913\/(-33) + -6)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**3\/3 - 9*f**2\/2 + 23*f - 190. Calculate the remainder when 34 is divided by c(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*b + 4*k - 3, -16 = 5*b - 2*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 2\/31, 972\/11, -0.5, 1?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -4.359\nAnswer: 0.4359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.5717924 microseconds to hours.\nAnswer: 0.000000000436609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:32 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-385))\/((-33)\/154*-12). What is the second smallest value in -3\/7, q, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6452377, 6452380, 6452383?\nAnswer: 6452386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12083, 24391, 36699, 49007, 61315?\n\"Answer: 12308*s - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a hour in minutes?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**2\/2 + 2. Let q(h) be the second derivative of h**4\/12 + 11*h**3\/6 + 4*h. Determine -22*n(a) - 2*q(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b60 - 4?\nAnswer: b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83454434 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 549a (base 15) to base 7\nAnswer: 103150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2480 and 1042220?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(48) + 4*-3*sqrt(3))**2.\nAnswer: 48*sqrt(3) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3383.\nAnswer: 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n\/(n\/(n\/((n*n**(-13))\/n)))))*n))**(-4\/27)\/(n**(-23)*n\/(n\/(n*n**(3\/16)*n))) assuming n is positive.\nAnswer: n**(9887\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 4*d + 1312. Let m = d + 365. Solve m + 4 = -a - 5*z, -2*a = z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/175)\/((-6)\/(-15)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2. Let s(p) = 6*p - 675. What is s(q(u))?\nAnswer: -18*u**2 - 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 9046 + 32918. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*q + 75, -4*q = -n + 4*n - 73. Let r = 51 - n. Let x = 933 - 873. What is the highest common divisor of r and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = b + 24. Calculate the remainder when 12 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/20*2\/(-4)*1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**6\/120 + t**5\/30 - t**2. Let i be 0\/2 - (7 + 10\/(-2)). Give l(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 13 - 150 - (-2 + -27).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1042826002?\nAnswer: 2, 17, 191, 160583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -922007 (base 10) in base 6?\nAnswer: -31432315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433457 by 433457.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*y - 228, -2*y + 56 + 528 = 5*a. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + -5*sqrt(13) + (sqrt(65)\/sqrt(5))**2 + 4).\nAnswer: -5*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vkmkmmkvmkvkvkkkmmum. What is prob of picking 1 v and 1 u?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34144 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27831 and -724.5024.\nAnswer: 27106.4976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-700)\/8)*(-50)\/40*-1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 24. Let i = y + -15. Let z = 24 + i. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 49. What is the lowest common multiple of v(-31) and -30*-2*(-3)\/(-15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 - 654*m**2 - 2*m - 651*m**2 - 653*m**2 + 1956*m**2 - 1. Give h(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**6\/780 - 171*f**5\/130 + f**4\/156 + 171*f**3\/13 + 3*f**2 + 7*f + 5. Suppose m(a) = 0. Calculate a.\nAnswer: -513, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/(k**(-26)*k))\/(k**(-9)*(k*k**(-26)*k)\/k*k) assuming k is positive.\nAnswer: k**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.941 + 11.\nAnswer: -17.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13336892.\nAnswer: 2, 3334223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 159482?\nAnswer: -159486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*a + 112*a - 89*a.\nAnswer: 250*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) + sqrt(35))*2)\/(sqrt(448)*-2)*5.\nAnswer: -25*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 15 - 8259*i**3 - 1188*i**3 + 9451*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251030 (base 6) to base 4.\nAnswer: -11123322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*s + s**2 - 149*s - 79*s + s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s - 4*n + 20, 20 = -5*s - 4*n. Put 3, s, -3 in descending order.\nAnswer: 3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - sqrt(405)*3) + 3 + -4)*-4 + -2*(sqrt(405) - -2*sqrt(405)*4 - -5*(sqrt(405) + 0)).\nAnswer: -180*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**4\/24 - t**3\/6 + 2*t**2. Let q be c(-4). Sort 1, q, 5.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from nhhnllhhb.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 164*a**2 - 8478*a + 24940\/3.\nAnswer: 2*(a - 43)*(a - 1)*(a + 290)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/15 + 3*b**3\/2 - 4*b**2. What is the first derivative of d(p) wrt p?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, -5, 1\/3 in descending order.\nAnswer: 0.4, 1\/3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**3 + x**2 + 3*x - 1. Let l(s) = 2*s**3 + s**2 + 3*s - 1. Let h(r) = 4*l(r) - 3*p(r). Calculate the remainder when h(2) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*b**3\/3 - 929746*b**2\/3 + 6971100544*b\/3 + 449760032.\nAnswer: (b - 14996)**2*(31*b + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 9*u + 123. Calculate g(-12).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 341226316 a multiple of 772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -167166556 take away -3035?\nAnswer: -167163521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 + -105. Suppose -13*l - k*l = -81. Solve l*i + 25 = -5*j, -3*i + 0*j - j = 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307204.\nAnswer: 2, 3, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.173 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -227869\/6260 + 1\/1252. Let x = 69\/10 + k. What is the common denominator of x and (-21)\/(-11)*2\/12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*w**2\/11 - 170770*w\/11 + 2935088\/11.\nAnswer: -2*(w + 14248)*(6*w - 103)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from {j: 1, e: 2, i: 1, c: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 10*h**2 + 2*h - 10. What is a(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - 35.98. Let k = v + 41. Let s = 47 + -47.5. Which is the biggest value? (a) s (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13256 and 1010296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 4650194.\nAnswer: 55802328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 175?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1934*j**2 + 3*j**3 + 962*j**2 + 972*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2\/9, 4, 2, -0.033 in descending order.\nAnswer: 4, 2, 2\/9, -0.033, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4590\/8262 + (-8)\/9\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1695*q - 2*p - 7 = -1696*q, -q + 4*p = -15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*p + 23*p - 75*p + 722 + 24*p as q*p + g and give g.\nAnswer: 722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137860 and 488.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*z - 6 - 3 = 0, 16 = 5*s + z. Let j be -2 + (s - 2) + 22. Suppose 4 + 5 = 3*p. Solve -m = -5*l + 3*m - j, p*m - 22 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pypy when four letters picked without replacement from pyyypyppppyypy?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 6*m - 3. Suppose 2*u = 2*r + 5 - 27, 2*r = -4*u - 56. Let b = u + 9. What is f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -4*o - 9. Let m = -23 - o. What are the prime factors of m\/(6 - 2) + 43?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*s + 13*s - 975*s**2 + 6*s + 13*s to the form o*s + k + r*s**2 and give r.\nAnswer: -975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 18 = x, 3*s - 14 = -311*x + 313*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 2*x**3 + x - x**2 + 6*x**3 - 2*x**4 + x**4 to r*x + k*x**3 + z*x**4 + y + b*x**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1921 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y - 3. Let t be a(2). Let q = -29 - t. Suppose -h + 35 = q*h. Solve -4*d + h = 2*n + 7, -5*d + 1 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 486, 316, 168, 48, -38, -84, -84, -32?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -228 - -229.11. Let f = 0.71 - 0.5. Let c = t - f. Round c to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2855, -5715, -8575, -11435?\n\"Answer: -2860*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/17)*n**(-9\/4))\/(((n\/(n**(-8)*n))\/n)\/((n\/(n\/n**4*n))\/n)) assuming n is positive.\nAnswer: n**(-485\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 65, -0.3, 3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*d + 59, 40 = 4*x + 3*d - 63. Calculate the greatest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73367.25us in seconds?\nAnswer: 0.07336725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.54? (a) 4 (b) -3\/74 (c) 0.8 (d) -1 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10740 divided by 2685?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 575*t**2. Let j(u) = -221*u - 7. Let l(s) = -253*s - 8. Let f(k) = -8*j(k) + 7*l(k). Give f(c(v)).\nAnswer: -1725*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 25048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 42.7. Let u = 3835.4416 - 3837.1415987. Let y = u - v. Round y to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 5:50 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from kmnnpkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/39 and -45\/199.\nAnswer: 7761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 34, 66, 100, 136, 174?\n\"Answer: x**2 + 27*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 2*b - b)*(0 + 3*b - 2 + 11*b) to j*b + r + x*b**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 - 2*n**2 - 2. Let l(d) be the second derivative of d**4\/12 + d**2\/2 - 28675*d. Let v be (0 + -2)*(-1)\/(-2). Calculate v*q(z) - 2*l(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -69.9, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 8*u + 28*u - 30 - u**3 + u**3 + 3 - 3 + (u + 2*u**3 - u)*(0 + 0 - 2) + 2*u**3 - 3*u**3 + 0*u**3.\nAnswer: -5*u**3 + 20*u - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2617249 times -4.9\nAnswer: 12824520.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 - -0.72. Let n = 0.25 - z. What is n rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-20) - 78\/5. Suppose 2*b - 5*t + 47 = -2*t, t = -3*b - 76. Does 18 divide (b + 1)*36\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -2065191?\nAnswer: 2065188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0011392 and -35?\nAnswer: -0.039872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1. Let j be 2\/(((-18)\/(-45))\/(2\/10)). Let h(y) = 172*y + 33. Let i(g) = j*h(g) + 6*w(g). Is i(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -37*o. Let c(v) = 5*v. Determine z(c(s)).\nAnswer: -185*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 303 + 864 = 2*q, -5*o + 1929 = -2*q. Suppose -3*f + o = 1851. Is 7 a factor of (f\/(-16))\/(2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14451\/12 - 3\/36*3. Let u(a) = -6 + 1214*a + a**2 - 6 - p*a. Is u(12) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*k - 5*j, 0 = -2*k + 5*k - 3*j - 6. Suppose 0*l + 8 = l. What is the least common multiple of l and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 364\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - j - 2*j)*((2*j - 5*j - j)*(1 - 2 + 0) - 14*j - 28*j + 27*j)*(-j + 1 - 3 + 0).\nAnswer: 33*j**3 + 66*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12277079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/44198 + -188092\/3690533. What is the common denominator of c and -101\/20?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q + 534. Calculate the remainder when o(-163) is divided by 366.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4285 (base 9) to base 6\nAnswer: 22335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -10 (b) 17 (c) 2\/17 (d) -1\/10 (e) 266 (f) 4 (g) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by 10\nAnswer: 91\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (536 - 538) + -1 + 28 - -4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -739.363 in -2, -0.2, 43, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n. Let s(p) be the first derivative of -8*p**3\/3 - 4*p + 43. Calculate s(j(i)).\nAnswer: -32*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 1. Let f(l) = -10*l**2 - 6. Give f(b) + 6*p(b).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times 10571.26\nAnswer: 15856.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 30 = -6*m. Let q(b) = b. Let t(i) = i**2 - 4*i + 12. Let d(r) = m*q(r) - t(r). What is d(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -15, -42, -936, -11 in increasing order.\nAnswer: -936, -42, -15, -11, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 1, o: 2, k: 1}. What is prob of picking 1 o and 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -61. Let a be 4\/(-10) + (-132)\/(-5). Calculate the highest common factor of y and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1216) + -2) + ((1 + sqrt(1216))*-1)**2 + (4 + -4 + (sqrt(1216) - 2*sqrt(1216)*-6))**2.\nAnswer: 48*sqrt(19) + 206713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -4462?\nAnswer: -4461.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -205, -306, -407, -508?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**5*h + 31*c**3*h + 25*c**2 + 2*c*h wrt c.\nAnswer: -240*c**2*h + 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, l: 6}. What is prob of picking 3 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181297 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5. What is the biggest value in 5, h, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**17\/((x*x**(-3\/2))\/x)*x*x**(-12)*x*x*(x\/(x\/x**(-29)))\/x*x assuming x is positive.\nAnswer: x**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011000110011101001 (base 2) to base 5.\nAnswer: -211404131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 2*n + 0 + 0.\nAnswer: -6*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1118)\/(-140) - 16\/56 and -42\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kklrreihl. Give prob of picking 2 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**8*n)*n)\/(n*n**(-2\/71)) assuming n is positive.\nAnswer: n**(-566\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(8*d**2 + 2*d**3 + 0*d**3 - d**2).\nAnswer: -6*d**3 - 21*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 4*u + 10034 = -6*h, h - 3*u - 3349 = 0. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -237283119 + 237283145.99999775. Let z = -2077 - -2104. Let s = z - j. Round s to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3861a0 (base 12) to base 14.\nAnswer: 1a053a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 540*f**2 - 2*f + 187 wrt f.\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, j: 4}. Give prob of picking 4 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -30*(3 - 105\/25). Suppose -5*h + 20 = 0, -r - 4*r + k = -h. Calculate the lowest common multiple of r and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 - 3 = 0, 5*a - 212 = 2*p. Let x = a - 1. Suppose 0 = 3*q - 33 - 9. What is the remainder when x is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 18*b - 3. Let f be t(3). Let z = 154\/3 - f. Suppose -w + 3 = -x, 3*x = -2*w - 18 - 1. Sort 2\/9, z, w in decreasing order.\nAnswer: z, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0526 + 2.8174. Let p = -3 + t. Let o = 0.03 + p. Sort o, 2\/5, -1 in descending order.\nAnswer: 2\/5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 19*x - 22*x - 10 - 72*x**2 + 52*x + 140*x**2 - 72*x**2. Let k be y(12). Suppose 0*g**3 + 0 + 1\/5*g + 1\/10*g**4 - 3\/10*g**k = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -3, 151.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*p = 2*v - 118, p + 115 = 4*v. Let x = v + -25. Suppose r = -0*r + x*i + 30, -5*r = 5*i - 150. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35144*b**5 - b**2 + 33*b + 117?\nAnswer: -2108640*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 11:46 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and 0.1864.\nAnswer: 0.0964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Let q be 9 - (a - (-3 - -1)). Suppose 5*k + 75 = q*k. What is the greatest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/12 (b) -0.3 (c) 12\/191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*(((f\/(f*f*f\/f**(1\/23)))\/f)\/f*f)\/f*f)\/f)\/f)\/f**26)\/(f\/(f**(-6)\/f)*f)**(-2\/13) assuming f is positive.\nAnswer: f**(-8244\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -7 - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34534?\nAnswer: 2, 31, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7365 - 7368. Let m = -1.8 + 1.91. Let j = -0.21 + m. What is the closest to 0 in 0, o, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1808*f + 4991 = -32674 - 303 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 587084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -319 - -324. Suppose -i*l + 3*r + 172 + 320 = 0, -3*l + 276 = 3*r. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - 5. Let i = v + 4.2. Let d = i + 2.200015. What is d rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Suppose 4*q = 4*k - 13 - 11, 4*k = q + 30. Suppose -4*z + k = i, -2*i - 115 = -7*i + 5*z. Calculate the greatest common divisor of l and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20, 7, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.021 - -36. Let l = -0.021 - z. Let v = -2 + -3. What is the biggest value in v, l, 4\/5, 2\/13?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -189*j + 0*j**2 - 2 + 188*j + 4*j**2 - j**3 - 4. Calculate h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*3\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-22))\/((-121100)\/(-114180)))\/((-13)\/(-7)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16820, 16813, 16804, 16793, 16780?\n\"Answer: -o**2 - 4*o + 16825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6054, -7, 6 in descending order.\nAnswer: 6, -1, -7, -6054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40513 - -156414. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 292*b**2 - 688*b**2 - 491*b**2 - 2*b - 182 wrt b.\nAnswer: -1774*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -x - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - 457. Let s = w + 9448. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 41 - (287 - 316 - (-25 + 0)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, o: 5, b: 7, p: 3}. What is prob of picking 1 o and 1 v?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 44. Let t(v) = -8*v + 56*v**2 - 57*v**2 + 1 - 9. Let i be t(k). Let m(d) = -4*d. Determine m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3148 - 3067. What is the fourth smallest value in 1\/4, s, -0.2, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26448*a**5 + a**4 + 5*a**3 + 15688762*a**2 wrt a.\nAnswer: -1586880*a**2 + 24*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -i + 3*f + 54, 0 = -2*f - 4. What is the greatest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1012 (base 5) to base 11\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9309? (a) 2 (b) 1\/5 (c) -3 (d) 21836\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 1420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30970324 and 2084.\nAnswer: 30970324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*p - 70 = 0, -5*p = 2*d + 2*d - 58. Suppose -2*r + 48 = 2*r. Calculate the greatest common factor of r and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/6)\/((-2)\/8). What is the second derivative of s*k + 0*k**2 - k**2 - k**2 + k**2 wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10*10\/(-6))\/(21636\/2044602).\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 238562773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**2 - 9*q - 1. Let j(b) = -40*b**2 - 55*b - 8. Let t(k) = -j(k) + 6*y(k). Let i(n) = n**2 + 2. Let a be i(0). What is t(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = h - 3576, 5*h - 3*m - 17808 = -6*m. Suppose 0 = 8*x + x - h. Let u = -210 + x. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82621 is divided by 26665?\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12456914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i = 3*v + 2, -5*i = -5*v. Let l(u) = 2*u**2 + 8*u - 22. Let n be l(v). Suppose -4*w + 2 = -3*w. Solve w + 6 = n*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-26)\/20 - 2. Let z(k) = -k**3 - 3*k**2 - k - 1. Let p be z(-2). Which is the second smallest value? (a) p (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -45, -4 in increasing order.\nAnswer: -45, -12, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 578 + -582. Which is the nearest to -1.9? (a) l (b) 5 (c) 4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -9. Is -4\/7 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*p - 21, 12 = -3*p + 4*b - 9. Let k(c) = -2*c - 1. Let q be k(p). Let u = 8 - q. Solve 0 = u*v - m - 2, -5*v + 5*m + 13 = -7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50729449 divided by -1\nAnswer: 50729449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4)*3*-4).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 9391144*d + 9391143.\nAnswer: (d - 9391143)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceeeceeeec. Give prob of picking 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1, -63, -3 in descending order.\nAnswer: 4, 3, -1, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*y + 11 + 15, -5*y - l = -28 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 639581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1518414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**3\/3 - 3*f**2 + f. Let t be -30*10\/(-30) + 3. Let d(o) = o - 2 - 8 + 3*o - 3. Determine t*l(s) - 6*d(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 1782 = -10*m. Calculate the greatest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -79\/3 (b) 349 (c) 3\/436 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 plus 0.186?\nAnswer: -74.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-266)\/342*-18 - (4\/(-34) - 56616\/(-1785))?\nAnswer: -88\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m + 326*m**2 - 331*m**2 + m - 9 in the form n*m + a*m**2 + p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021 - 221021021?\nAnswer: -221102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -658*r - 662. Let z be h(-1). What is the nearest to 20 in 1, 1\/18, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1624*m - 2*m**2 + 814*m + 809*m + 48.\nAnswer: -2*m**2 - m + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4418 + 9003\/2. Let t = 80 - u. What is the common denominator of t and 67\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380220 less than -203?\nAnswer: -380423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -11*d**2 - 17*d + 7. Let l(p) = 5*p**2 + 8*p - 3. Let s(n) = -6*k(n) - 13*l(n). Let c be s(-2). Solve 4 = 4*i + 3*v + v, -c*i = 2*v + 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1567 - 4357 + 3448 + 1389)*(d**5 + 1 - 1).\nAnswer: 2047*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 449995 divided by -4945?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y**4 + y**4 + y**4)*((4*y - 5*y + 0*y)*(199 + 77 - 461) - 3*y + y + 0*y).\nAnswer: -183*y**5 - 366*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -28, -82, -188, -364, -628, -998, -1492?\n\"Answer: -3*c**3 + c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11107 + 11106.9990198. What is s rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(204) + sqrt(204))*3 + (sqrt(204) - (sqrt(204) - -1*sqrt(204)))*3)\/((sqrt(432) - -2*sqrt(432)) + sqrt(72)\/sqrt(216)).\nAnswer: 54*sqrt(17)\/109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16*6)\/((-16)\/(-384)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1667.16 rounded to the nearest 10?\nAnswer: -1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - 1 - ((7 - 30) + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5497, 5380, 5263, 5146, 5029?\nAnswer: 4912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 0, -18, 2\/5.\nAnswer: -65, -18, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/46782 and -20\/27.\nAnswer: 140346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.060684 to three dps.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, -1, -77, -177\/5 in decreasing order.\nAnswer: -0.36, -1, -177\/5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n*n*n**(3\/11))\/n)*n**(-2\/9)*(n**1)**(-5\/9))**(2\/137) assuming n is positive.\nAnswer: n**(-10\/13563)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.81 plus 5?\nAnswer: -8.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-11)*6\/(-18)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 r, and 1 x when four letters picked without replacement from {u: 2, r: 2, x: 2, l: 3, m: 4}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 2466?\nAnswer: 2459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -11*l - 8 - l**2 - 4*l - 5*l + 6*l. Let p(j) = j**3 + 11*j**2 + 11*j - 4. Let t be p(-10). Let k be v(t). Sort 2, -1, k in increasing order.\nAnswer: k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 12:46 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -14*w**2 - 60*w - 157. Let f(y) = 15*y**2 + 48*y + 159. What is -5*f(q) - 4*t(q)?\nAnswer: -19*q**2 - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 17*a**2 - 31*a - 5. Let j be m(-15). Suppose 11*r - 32 = j*r. What is the remainder when r is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -18*l**2 - 8*l. Let r(u) = u**2. Give a(r(g)).\nAnswer: -18*g**4 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3386907681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -331404 (base 5) to base 8\nAnswer: -26327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435900726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*c - 7*c - 45, -2*s = -5*c - 45. Let j be (3\/(-15)*-312)\/(c\/(-30)). Calculate the highest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/3 - 83*t**2 - 6889*t + 287. Let n(k) = 0. Calculate k.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 28*o**2 + 113*o + 169. Let j be m(33). Which is smaller: -1548 or j?\nAnswer: -1548","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23177, 308\/5, 3 in descending order.\nAnswer: 23177, 308\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = 0, 5*w + 22*b = 18*b - 16. Suppose w = 10*x - 6*x - 60. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11696*o**3 + 4255*o**3 + 4280*o**3 + 3711*o**3.\nAnswer: 550*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from zqzllzqqzlqzqqqzzz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4286?\nAnswer: -1\/4286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 6*n - 7. Let f(x) = 0*x + 0*x**3 + 3*x - 2 - 2*x**3 - 3*x**2 + x**3. Let u be f(-4). Suppose -u*j - j = 15. Determine k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2651, 3155, 3659, 4163?\n\"Answer: 504*k + 2147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2*(-155)\/(-5). Suppose -f + 8 = -6*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -114136*r. Let v(h) = 170*h - 2. Calculate q(v(w)).\nAnswer: -19403120*w + 228272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-20 + -6) - (-3 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 + 1 - 1 + 0 + 0 + o**2 + (-3*o - o + 2*o)*(-o + 5*o - 2*o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2258.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 at most 588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -h - 24. Suppose -s + 29 = 8. Suppose 5*w = d - 9, 0*w - s = -4*d + 5*w. What is the least common multiple of h and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**8\/840 + 4*x**7\/175 + 7*x**6\/60 - 2*x**5\/25 - 3*x**4\/5 - 21*x**2 - 3*x. Determine y so that f(y) = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 41879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 825, -7, -2, 4.\nAnswer: -7, -2, 4, 825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != -36487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fe71 - 3f?\nAnswer: fe32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.18 + 4.78. Let w = 5 - o. Which is the second smallest value? (a) 0.1 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -26. Let g be -4 + q - (-1 - 2). Let l be (-2 - -2) + -1 + 2. Solve -g*s - 4*h = -10, s + 0*s + l = 3*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 + 0.3. Let y = g + 1.7. What is the closest to -4\/7 in y, 3, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/1*(-9)\/(-18). What is the highest common divisor of m and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 18*l - 27. Let t be w(-19). Which is smaller: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4863179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 8*g - 9*g, -n + 26 = -5*g for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 529*h**2 - 3*h + 1886. Let q(d) = -1585*d**2 + 8*d - 5667. Let i(j) = 3*q(j) + 8*v(j). What is the first derivative of i(z) wrt z?\nAnswer: -1046*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3885*y - 1361*y + 2376*y = -191100 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**5*n)\/(n**(2\/63)*n))**(-2) assuming n is positive.\nAnswer: n**(-752\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 i when three letters picked without replacement from {i: 1, w: 6, j: 5, y: 2, c: 2, a: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/7 (b) 3732 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1260 and 2332008.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -61159.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v - 2. Calculate g(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 481*r**3 + 12 + 488*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.88657t to kilograms.\nAnswer: 89886.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -q - 10, 9*p = -4*q + 5*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 753 * 1.4.\nAnswer: 1054.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -811 (base 9) to base 8\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 62170824 divided by 7771353\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -24*c - 38. Give f(5).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129972, -5, -26 in increasing order.\nAnswer: -129972, -26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 15*s**2 + 15*s - 11. Give r(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626155 divided by 875385?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1556*g + 393647. Determine t(253).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 14*p = -5*p - 6*p + 21, 4*p = -5*m - 36 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494.8909 hours to milliseconds.\nAnswer: 1781607240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - z)*(0 - 6 - 3) + (-z + 3*z - 3*z)*(3 - 3 - 1)*(-2 + 2 + 2) + 3*z + 5*z - 6*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -603, -4, 18, 1, 0.\nAnswer: -603, -4, 0, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 2*r + 2. Let i be z(3). Suppose 157 = 4*m + 49. Let j = m - i. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1 - (17 + -22 + 5 - 10)) + -69\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -25, -32, -31, -16, 19?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2557*u**3 - 634*u**2 - u - 10?\nAnswer: 15342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*b = -17, 19*v - 4*b + 89708 = 89758 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywwwwwwywwwwwwwwy. What is prob of sequence ww?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/8)\/((-3555)\/(-1580))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 73*g**2 - 24*g + 324. What is the hundreds digit of b(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456 and 2337?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*z - 8*z + 7*z + 13 + 1293*z**4 + 254*z**4 + 10196*z**4 - 3*z**2 wrt z?\nAnswer: 281832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-648)*(-1)\/(4\/18)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 14. Suppose -w = 2*r - 107, 0 = -w + 2*r + 3*r + 114. Let d = w + -74. What is the remainder when d is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 2:18 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 2 q when four letters picked without replacement from pttqqtplqttqqqqq.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/3, -39, 5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-3 + 5)\/(-1). Let s = 0 + f. Suppose 3*u = 4*u - 3. Put u, 1, s in ascending order.\nAnswer: s, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and (3\/3 + 3)\/((-2)\/(-236))?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1358413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 y when four letters picked without replacement from yyyppppyyyy.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-26))\/(-1))\/(39*(-53)\/(-4134))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1143 and 24638?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**2)**(-1\/4)\/(((i**14\/i)\/i)\/(i*i\/(i*i**(4\/3)))) assuming i is positive.\nAnswer: i**(-145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*o + 104*o = -532*o + 6137 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {j: 1, d: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -521?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2404 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 698 - 697.5. Which is the smallest value? (a) i (b) -4 (c) -1\/8 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -3*m - 0*r - 5*r, 12*m = r + 67 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167841?\nAnswer: 3, 17, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/7 + 34*a**2\/7 - 192*a\/7 + 360\/7 = 0. Calculate a.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, 1\/12958, -0.5, -45?\nAnswer: 1\/12958","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31701746537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 8*z**3\/3 - 2*z**2 + z - 1177. Let g(v) = 7*v**2 - 5*v + 1. Give -6*g(w) + 5*m(w).\nAnswer: -2*w**2 + 10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9198.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469 + -461.98. Let i = g + -0.02. Let l = i - 3. What is the smallest value in 2, 3, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -d5974a?\nAnswer: -d5974b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2 + 87212*g - 261654 = 0. Calculate g.\nAnswer: -43609, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 6*h + 3. Let a be b(-6). Suppose -a*n = n - 12. Let i be -5*(-3)\/((-9)\/(-3)). Solve -2*o + i*o = -n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.88 - -4.88. What is the fourth smallest value in 2\/7, 5, -4, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 5*g + 19*g + 0*g - 5*g + 150 as t*g + r and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**3 + 2*u**2 - 9*u + 15. Let i be s(3). Suppose 0 = 10*g - i + 243. Solve 0 = -9*k + g*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(15*r**4 - 3*r**4 + 588*r**4) + (-3*r**3 + r**3 + r**3)*(-2 - r + 2) as v*r**4 + p*r**3 + f*r + z*r**2 + n and give v.\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 26. Suppose 10*w - 16 = z. Let x(s) be the first derivative of -s**2 + 2*s + 1. Let f(p) = p**2 + 11*p - 11. Determine w*f(d) + 11*x(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 6. Let w = c + 1.4. What is the nearest to -2\/3 in w, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-188)\/282)\/((-4)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {j: 6, h: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/2191?\nAnswer: -1\/2191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**2\/7 + 2798*h\/7 - 932\/7.\nAnswer: -2*(h - 466)*(3*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 403\/391 - 21\/23. Which is the closest to 2? (a) p (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 3*g**2 + 4*g + 3.\nAnswer: 3*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 291042\/5 - (-21)\/35 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21141.855 months in decades?\nAnswer: 176.182125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*r - 1529 - 13940 = 533 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*p + 14, 4*p - 4*b + 946647 - 946699 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/90*3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2525 and 3232?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 2*k - 4. Suppose -4*d - 5*v = -v, 2*v - 28 = 5*d. Calculate the remainder when 13 is divided by z(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-1 - 6\/(-9)). Let x = y - -2. Find the second derivative of 6*m**x + m + 3*m**3 - 12*m**3 wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-9\/5)*((i\/(i*i**(-2\/3)))\/i*i)**(1\/6)*(i**(-2\/5))**(1\/13)*(i**2)**(-10\/9) assuming i is positive.\nAnswer: i**(853\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75424508?\nAnswer: 2, 409, 46103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 4468 = -3592. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000671554 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 15 - 5*z + 7*z.\nAnswer: 2*z + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(11)*-5 + 2 + (-1*sqrt(44)*-2)\/sqrt(4).\nAnswer: 2 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g. Let k be u(-2). Which is the second smallest value? (a) 1 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4580*i - 18313. Calculate t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 - -4) + 2915\/318 and 41\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 - 11*d. Let l(z) = 7*z**3 - z**2 + 20*z. Let u = -413 + 418. Let v(k) = u*n(k) + 3*l(k). Determine v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t*(t*t**(-2\/17))\/t)\/(t**(2\/23)*t\/t**(-1)) assuming t is positive.\nAnswer: t**(-1253\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1410 = -5*d + 3*c, -d + 2*c + 169 = -120. Let l = 4268 - 2211. Suppose -14*v - d = -l. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/84 and 73\/60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44 + -14 - (0 + 2\/(-2)). Suppose 4*r - z = -o, -4*r + 80 = 2*o - 2*r. Is o a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:38 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/35*(6\/4 + 1). Suppose a*x = -0*x + 2376. Suppose -210 = -2*w - 4*t, -5*w = -3*t - x - 129. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-627)\/(-22))\/(37 - -8) and -127\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13475 - -13825345\/1026. What is the common denominator of -113\/108 and v?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 4*s + 3. Let k be b(2). Solve -3*v = 2*v - k*a + 28, 0 = v - a + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27119440 to the power of 1\/2, to the nearest integer?\nAnswer: 5208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 4*l**2 - l - 2. Let a be w(-4). Suppose v + k - 19 = 0, -2*k = -a*v - 0*k + 34. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(17) + -1) - (-4 + sqrt(68)))*3 - 1*(sqrt(17)*2*2 + -1))**2.\nAnswer: -56*sqrt(17) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 538 and 2107615?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-5))\/(456\/(-285)). Let s(z) be the second derivative of 0*z**j + 0 + 0*z**3 - 5*z + 1\/2*z**4. Let l(m) = m**2. Calculate s(l(t)).\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11592 and 48.\nAnswer: 23184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 192*c**4 + 50478*c**2 + 142272302*c?\nAnswer: 2304*c**2 + 100956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 32*a**3 + 5*a**2 + 31*a + 84. Give c(-3).\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220 - 185. Calculate the greatest common divisor of t and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118.999683 - 119. What is q rounded to five decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691244?\nAnswer: 2, 3, 109, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 + 9712*m**3 + 110*m**2 + 994*m + 1092?\nAnswer: -12*m**2 + 58272*m + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -612?\nAnswer: -1\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 1)*(-4 + 2*y + 4) + (-3*y - y + 2*y)*(-1 + 0 + 0) to the form p + j*y and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 848, 3586, 8206, 14732, 23188, 33598, 45986?\n\"Answer: 4*b**3 + 917*b**2 - 41*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 59*t**2 - 171*t + 1037. List the prime factors of x(51).\nAnswer: 2, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1921 - -1925. Solve 9 = f*b + 25, -c + 20 = -5*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 10. Suppose s - p = -4*p + 42, -w*s + 3*p = -126. Suppose -4*i - 14 + s = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 6*g - 1. Let s be j(-5). Let k = 1 - s. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 15, 0.2, -3\/89?\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 2*g - 13*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y + 40*y + 20 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -55 - (5 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 652*p*x**3 - 2*p*x**2 + 282*p*x + 315614*p - 5*x**3 - 1436*x**2 wrt x.\nAnswer: 3912*p*x - 4*p - 30*x - 2872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*0.1522137.\nAnswer: 0.044141973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/((-5)\/60). Suppose 0 = y - 0*y + q - 59, -o*y - 2*q + 238 = 0. Let c be (y\/(-3))\/(10\/(-45)). What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/((-49)\/(-14)*(-13)\/(1820\/24))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 b when four letters picked without replacement from hbbbbbbhbbbh?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5250 divided by -35.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 - (-2034)\/30. Calculate the highest common divisor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from rfrrrzf.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + 0 + 0 - 4*f - f + 3*f + (f + 0*f - 2*f)*(2 + 1 - 2) + 13*f + 1 - 1.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4293545577.\nAnswer: 3, 19, 1181, 63781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*j**2*t**3 + 2363*j**2*t - 2*j - 387*t**3 + 340 wrt j?\nAnswer: -8*j*t**3 + 4726*j*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) - (-4 + (1 + sqrt(245) - sqrt(245) - sqrt(245)) + sqrt(245)))) + (sqrt(245)*-1 + 1 - sqrt(245)) + 5*sqrt(245)*1 + 4 + 3)**2.\nAnswer: 210*sqrt(5) + 2230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.829548 centuries?\nAnswer: 982.9548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d + 1. Let r(p) be the second derivative of -6*p**3 - 3*p**2 - 205*p. Give -4*r(i) - 21*s(i).\nAnswer: -3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 2*y + 71. Let f be m(-9). What is the second biggest value in 191\/5, 2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12cb8 + -3?\nAnswer: 12cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2 = -5*n, -t + 0*t = -2*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -83\/2 and -47623.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 21, -7 in increasing order.\nAnswer: -7, 1\/8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**12)**(5\/8)*(u**(-1\/9))**25 assuming u is positive.\nAnswer: u**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 289.25 - 289. What is the second biggest value in 4, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -43485, -9, 3 in decreasing order.\nAnswer: 3, -9, -43485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 - -43. Let n = r - -52. Is 11 a factor of (-66)\/2*(-4)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 91.6 (b) -3 (c) 4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) -5 (c) -0.04 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhmp when four letters picked without replacement from bhphhbhmbmhmh.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 7*j + 45 + 11 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3948 and -0.4?\nAnswer: -1579.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 127952.3 to the nearest 100.\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293027.\nAnswer: 7, 41, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74325 = -5*x + 122695. Let v = -27604 + x. Let m be 1000\/((1\/1)\/v). What is m rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1*3 + (-9 - -1185*(0 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by (1260\/189)\/(4\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, r: 5, w: 3, c: 2, i: 1}. Give prob of sequence wqwc.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18\/45 - (-120)\/(-900)*93\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*v + 6*v = 61, 3*w - 5*v + 47 = 0. Let u(m) = -m**2 - 30*m - 1. What are the prime factors of u(w)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 428, 388, 278, 62, -296, -832?\n\"Answer: -6*t**3 + t**2 - t + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 8) + 16 + -1 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23487789?\nAnswer: 3, 13, 46327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*t - 40 = -137*t. Suppose t = x - w - 4*w, 0 = -2*x + 3*w - 1. Let r = 1 - -1. Put x, r, 4 in decreasing order.\nAnswer: 4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6711357 and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 552383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1433, -0.2, -6\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 13837623 = 8*p - 53*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 4140.\nAnswer: -53820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80513 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/3 + 95939*r**2\/3 - 2296893907*r\/3 - 66852196901 = 0 for r.\nAnswer: -87, 48013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -68*t + 60*t. What is the remainder when 137 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -h - 10, -7 = t + h - 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 3) + -140 + 136.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a tonne in kilograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 31 - 1. Let x be ((-8)\/b)\/(6\/3225). Round x to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1793 - j**2 + 1791 + 188*j**3 + 214*j**3 as p*j + h*j**2 + x + o*j**3 and give o.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*b + 4888282 = 5*k, 0 = -3*k - 3*b + 2444136. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*c + 16 + 35 = 0, 3*z = -2*c + 31. Let i(p) = p**3 - 12*p**2 - 14*p + 18. Let j be i(z). Suppose j*m = -m. Sort m, 4, -10 in increasing order.\nAnswer: -10, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j + 10. Let s(y) = y. Let b(u) = q(u) - s(u). Let a be b(7). Let n = a - 24. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -133.4.\nAnswer: -133.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1. Let h(p) = 374*p**2 - p - 1. Let l(m) = b(m) + h(m). Let f be l(1). Let w = f + -224. What are the prime factors of w?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**17)\/(c\/c**19))\/(c**(4\/11)*c*c**(-4)) assuming c is positive.\nAnswer: c**(51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (10 + -1 + -5) - (451 + -410)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 4*y + 52. Let u be z(11). Let j be u\/(-15)*(-13)\/((-455)\/(-58)). Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43210000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2, 0 = 2*x + 3*u - 5*u - 6. Is -61\/25 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65, -125, -179, -221, -245, -245, -215?\n\"Answer: x**3 - 3*x**2 - 58*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-18) - 3\/9)*24. Let y(w) = -4*w + 173. What is the hundreds digit of y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 477\/(-54))\/((-4)\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 - 3*k**2 + k**2 + (k**2 + 0*k + 0*k)*(-1 - 5 + 0).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19156, -19201, -19268, -19351, -19444?\n\"Answer: m**3 - 17*m**2 - m - 19139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7 = 4*n - 2*n, 0 = 4*i - 5*n + 13. Suppose 0 = -i*x + j + 45, 0 = -3*x - 2*x - 3*j + 75. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 1. Let h be d(-1). Suppose h*w - 3*m = 3 + 4, -w = 5*m - 36. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 14*w**2 + 91. Let s(q) = q**2 + 6. Let k be -2 + 11\/(-3) + (10 - 558\/54). Give k*z(p) + 91*s(p).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0.4 (c) 1928813\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*t - 69474 + 92390 = 0 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 4*h - 4*h)*(6 + 28 + 27).\nAnswer: -122*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1501394108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3 + 3*o - 5 + 1 - o. Let l be (-50)\/(-13) + 8\/52. Let z be p(l). Solve -a = -3 + z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by 77?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 - 123 - 15*t**2 - 120.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 428 in decreasing order.\nAnswer: 428, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*u**3 + 1\/2*u**2 + 0*u + 1\/4*u**5 + 0 - 1\/2*u**4.\nAnswer: u**2*(u - 2)*(u - 1)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:35 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*k - 6. Suppose -12 = 3*h, -24 = -k*r + 5*h + 8. Solve -j = j + r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 27, 13, -17, -69, -149, -263?\n\"Answer: -c**3 + c**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsssssss. Give prob of picking 1 s and 1 x.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8245, -8240, -8233, -8224?\nAnswer: -8213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218486976 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24426545 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156 - -164. Let n(y) = 4*y - 5*y + p*y - 3*y. Let r(o) = 21*o**2. Let x(z) = -6*z**2. Let v(l) = -5*r(l) - 18*x(l). Determine v(n(k)).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -17 - 4*n**2 + 9 - 2 - 2*n - 2*n**2 + 7*n**2. What is a(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1 - 1718*m**2 + 870*m**2 + 849*m**2. Let j(b) = -b**2 + 3*b + 4. Suppose -4*k + 4 + 12 = 0. Let i be j(k). Determine g(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*v + 2, -3*l = v - 4 + 11. Suppose 3*z - 2*x = x - 207, 0 = v*x + 2. Calculate the common denominator of 3\/14 and ((-3)\/z)\/(4\/390).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbt when three letters picked without replacement from {h: 1, b: 6, t: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 960 = -994. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 4*z - 6*z**2 + 7*z**2 + 2*z**2 + 8. What is the units digit of a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3367417\/4 - -836387. Let l = -5498 - p. Let c = l - -31. What is the second smallest value in 0.2, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 - j + 5. Suppose 14 = 8*n - 18. Calculate o(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*o - 56*o = 60*o + 40 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 38. Let g be m\/(-7) - 4\/2. Let w be 9\/(-15) + (-51)\/(-135). Which is the nearest to 0.1? (a) -2\/7 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k**2 + 1. Let m(f) = 2857*f**2 - 3112. Let r(q) = m(q) + 15*s(q). Find the first derivative of r(u) wrt u.\nAnswer: 6044*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -8 + -9 + 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 3*o**2 - 82*o. Let q(d) = -5*d**3 + 16*d**2 - 411*d. Determine 11*j(v) - 2*q(v).\nAnswer: -v**3 + v**2 - 80*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnppjtptpp. What is prob of sequence ppnp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/315)\/(28152\/164220)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3 + 5441*i - 5443*i + 11. Let p(j) = j - 1. Suppose 4*m = m + 3. Determine m*y(q) + 3*p(q).\nAnswer: q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*h - 4*i, -64*h - 3*i - 5 = -63*h. Let z(g) = -31*g - 28*g - h - g**2 + 52*g - 1. Calculate z(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(363)*3)*4)**2*5 - (-6*(1*sqrt(363) + -5) + 5)**2.\nAnswer: -5940*sqrt(3) + 247387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51617*g**2*v**2 - 267*g**2*v + 10238000*g - v**2 wrt g.\nAnswer: 103234*v**2 - 534*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 11371 = -3*o, -6195 = -3*o - 2*w + 5156. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 294.5615 + 56478\nAnswer: 56772.5615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6))**(-9\/8)\/(g**(2\/41)*g*g**(-1)*g) assuming g is positive.\nAnswer: g**(935\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -791, 4, -31, 7.\nAnswer: -791, -31, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3069365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4286.\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 - 2*u + 1. Let v be i(1). Suppose -3*g = 12 + v. Are g and -9\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*s - 17296 = 42*s. List the prime factors of s.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2110*k**2 + 2109*k**2 - 4*k**3 - 4219*k**2.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.053 + 0.053. Let o = 3.6 + q. Which is the second smallest value? (a) o (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**2 - 5*c - 4. Let n(a) = -a**2 + 6*a + 248. Let h be n(19). Let o(j) = -j**2 - j. Calculate h*s(f) - 5*o(f).\nAnswer: -f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.8 (b) -0.1 (c) -2\/11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 29*p**5\/120 - 25*p**4\/24 - 4*p**3\/3 + 3*p. Let w(t) be the second derivative of i(t). Is w(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddv when three letters picked without replacement from {x: 1, v: 1, w: 1, g: 1, n: 1, d: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*s = -2*d - 1745802, -2*d = s - 1163877. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/39122482 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -113 times -1\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00068769528 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + m + 13. Let j be a(6). Let k(b) = b**2 + 17*b. Let y be k(j). Suppose y = 2*q - 1119 - 1607. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 25 = -7*h, 3*b + 3*h - 153 = 0. Let j be -1 + -1 + 60 + -2. Let y be 6\/(-4)*j\/(-6). Calculate the highest common factor of y and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(85) - 1*sqrt(85)*-1)*-3)\/(1*sqrt(80)*-4*4) + 1.\nAnswer: 9*sqrt(17)\/64 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -36, -97, -188, -315, -484, -701?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109 - 115. Let u = 9 + p. Solve -o = u*z + 2*z + 1, 1 = -4*z - o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + k**4 - k**4 + (k**3 - 2*k**3 + 3*k**3)*(2*k + k - 2*k) - 3*k**4 - k**4 + 5*k**4 + k**4 + 19*k**4 + 8*k**4.\nAnswer: 29*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 8:57 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 27087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*a = 6*a - 5, -4*a = -3*b + 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -76. Let m = w + -48. Let g(d) = 2*d + 2. Calculate g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 5*d - 122. Suppose 18 = 2*b - 2*o, -2*b = o - 6*o - d. Let y(h) = h**2 - h - 4. Calculate the smallest common multiple of b and y(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 9*g + 38. What is w(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**29)\/w*w**23*(w\/w**17*w)\/(w\/(w**(2\/29)*w*w)) assuming w is positive.\nAnswer: w**(1133\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 1. Let z(d) = -2*d**2 + 11*d - 7. Let n be z(5). What is h(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/(-352))\/(4\/(-22))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*o + 6203*o = -137684 - 241551 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**4*v**2 - 3*t**4 - 2658*t**3*v**2 + 2*t**2*v - t**2 - 34*t*v**2 - v**2 wrt t?\nAnswer: -48*t*v**2 - 72*t - 15948*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from hshrghhhg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1960\/(-4)*(-4473)\/(-313110)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1. Let m(z) = -z + 8. Let y(u) = -6*l(u) + m(u). Let c(p) = p**3 - 11*p**2 + 10*p + 2. Let f be c(10). Let x be y(f). Solve x = -2*b + 2 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2439321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/432 and 23\/108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -17*p**4\/4 + 4*p**3\/3 + 4*p**2. Let t be m(-5). Is (t\/(-8))\/(2\/(-8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23735 is divided by 133.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeqe when four letters picked without replacement from {e: 7, q: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -996010 - -5?\nAnswer: -996008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, -3.413 in decreasing order.\nAnswer: 17, 3, -3.413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(-450*w + 54 - 449*w + 903*w) to l*w + s and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161 divided by 3?\nAnswer: 2161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 698 = -4*n, -1700 = -11*y + 6*y - 5*n. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*p - 38, 2*t - 2*p = 7*t + 22. Let q(x) be the third derivative of -x**5\/60 - 7*x**4\/24 - x**3 - x**2. What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -0.2873.\nAnswer: -0.2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 319 + -317. Sort -4, h, 11, -8 in decreasing order.\nAnswer: 11, h, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 2. Let m = -3.59 - -3.89. Which is the closest to -0.2? (a) m (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + 32 - 5*f**2 + f**2 + 16 + 37 + 38 in the form b + r*f**3 + v*f**2 + p*f and give b.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1331) - (2 + sqrt(1331)) - sqrt(1331)) + -5 + -2 + 0 + ((sqrt(1331) + 1)*-2 - 6*sqrt(1331)*-2))**2.\nAnswer: -2288*sqrt(11) + 85353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) -2 (c) 0.09 (d) 0 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(605) + (-1 + sqrt(605))*3 + (sqrt(605) + (sqrt(605) - (sqrt(605) + sqrt(605) + 1 + 1 - sqrt(605))))*-6)*6)**2*-2.\nAnswer: -362880 + 63360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = o - 4*o. Let r = 16 + -11. Put r, o, 3 in descending order.\nAnswer: r, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 955 - 17?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002556876018 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 18 = -3*f, 4*v - 5 = 5*f - 2. Let s = f + 7. Suppose 5*c - 4*u + 2*u = 55, -3*c + 7 = s*u. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 1. Let k = 1 + u. What is the third smallest value in -5, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 - (-24 + 80 - 40).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 106.26813 minutes?\nAnswer: 0.0737973125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 11:21 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*m**3*n**3 + 16*m**3*n - 90*m**2*n**6 + m**2 + m*n**2 + 27*n wrt n.\nAnswer: 174*m**3 - 10800*m**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.493 + -0.007. Let f = -0.065 + 12.065. Sort n, f, 0.4, -4.\nAnswer: -4, n, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2537368.2 and 29.\nAnswer: -73583677.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**5 + 1509*o**4 + 2121*o**2 - 5*o wrt o.\nAnswer: -120*o**2 + 36216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3451 (b) -1\/2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 v when four letters picked without replacement from {i: 3, r: 7, v: 3, q: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -6*j - 4. Solve 14 = 4*n + j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h. Suppose h = 6*o - 22 - 26. What is the lowest common multiple of 11 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -3*q - 75. Suppose -5*n + 0 + q = 0. Calculate the highest common factor of 15 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/63 + (-20)\/(-770)*22.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h + 4*h + 5*h - 2*h**2. Let b(m) = -m - 1. Let s(d) = 5*d**2 - 20*d - 20. Let p(w) = -20*b(w) + s(w). Determine p(k(n)).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 503 - 429*c + 501 + 498 - 1503 in the form q*c + h and give q.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Suppose -1417 - 6583 = -w*i. Round i to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 7 + 85*p**2 + p**4 - 8 + 8 - 4*p**3 - 10 + 2*p**3 to the form k + b*p**2 + m*p + o*p**4 + d*p**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1549 + 597 = 2*a, 244 = p - 2*a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -4*b - 98. What is the remainder when 37 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85190 - -85510. Let c(g) = 64*g. Let s be c(3). What is the highest common divisor of o and s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9994574*f*y**2 + 495195*f - 10*y**3 + 95 wrt y?\nAnswer: 19989148*f*y - 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8050774 centuries in months?\nAnswer: 966.09288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -329 greater than or equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.833821 months?\nAnswer: 0.0048615175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 103084928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 615996752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 12 + 8 = 0. Let j be 3\/(-2)*q\/3. Find the second derivative of -2*o + 0*o**2 + 0*o**j + o**4 wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8e (base 15) to base 4.\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242 + -762. Let b = i + 515.91. Let t = 0.09 + b. Sort t, -0.3, -1 in descending order.\nAnswer: -0.3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.9 - 30. Let p = v - -0.1. Sort -1, p, -0.5 in descending order.\nAnswer: -0.5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000173848 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-7) + (-1350)\/210. Which is greater: d or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-7533)\/(-62))*(-21)\/(-2)*2\/(-35)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17566, -17676, -17786, -17896?\nAnswer: -18006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10379, -10409, -10439, -10469, -10499, -10529?\nAnswer: -10559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18824444.9 rounded to the nearest 10000?\nAnswer: 18820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v. Let p be u(-5). Let r(h) = 33 + 2*h + 0*h - 1. Does 3 divide r(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/4 + 6725*j**4\/4 + 13439*j**3\/4 - 47069*j**2\/4 - 13443*j + 20169 = 0.\nAnswer: -6723, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3389 - -5925. List the prime factors of m.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*r - 504 = -5360, 5*r = 2*j + 4851. Let o = -1377 - j. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 2. Let y be s(-7). Let x be 6\/(-15) + 17\/y. Suppose -1\/3 + 1\/3*w**4 - 2\/3*w + 0*w**2 + 2\/3*w**x = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35040 and -0.06.\nAnswer: -2102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + (-140)\/15)*-9. Solve 301*x - o = 304*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-8)*(8\/9)\/(21*70\/(-63))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/30 - 7*r**2 + 31. Let u(d) = 46*d**2. What is u(v(w))?\nAnswer: 184*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 36. Suppose -q*m = 5*f + 3*m - 15, -3*f - 4*m + 10 = 0. Suppose -481 = -3*g - 0*v + 2*v, 0 = f*v - 8. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 672*l**2 + 174*l + 116930. Give k(-672).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/263047 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 0. Suppose l*z = -2*v + 14, -v + 7 = -4*z + z. Suppose -3*m = -v*m + 748. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-20)\/h))\/(h\/h**32*h))**2 assuming h is positive.\nAnswer: h**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 5*h + z, -3169 = -2*h + 3*z - 3145 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 8*p**6\/15 + 12*p**5\/5 - 21*p**4 + 104*p**3\/3 - 24*p**2 + p - 2. Factor d(f).\nAnswer: 4*(f - 2)*(f + 6)*(2*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**2\/2 - 7*n + 48. Determine h(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcc when three letters picked without replacement from yycdmxmcdjmd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6520?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 - 10422 + 5218 + 2*w - 2*w + 5204.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 6 (c) 0.2 (d) 2\/5 (e) -61\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-37187.05.\nAnswer: -74374.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 1861\/20. Find the common denominator of x and 52\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t. Let q(g) = g - 1. Let f(r) = 2*q(r) - x(r). What is the derivative of f(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -10. Suppose 5*p + d = 5*j, 2*j + 3*j + 2*p = 58. Let k be 33 - -5 - (1 + 1). What is the highest common factor of j and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63759*-0.11.\nAnswer: -7013.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 617597, -1 in decreasing order.\nAnswer: 617597, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5\/3 + 280*c**4 + 101324*c**3\/3 + 918680*c**2 + 21529922*c\/3.\nAnswer: 2*c*(c + 17)**2*(c + 193)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4525788 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: Let u = 118\/3 + -1939\/48. Suppose -2*z + 19 = 3*d - 29, -3*d - z + 51 = 0. Find the common denominator of u and ((-582)\/d)\/(2\/(-3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2. Let r(u) be the third derivative of 7*u**4\/12 + 59*u**2. Calculate r(t(o)).\nAnswer: -70*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 + 4838*n**3 - 4837*n**3 - 38.\nAnswer: n**3 + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132\/73 + -514\/365. Which is the nearest to 2? (a) -0.04 (b) -5 (c) n (d) -112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -200?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*i = 2, 1 = k + 4*i - 4. Solve 0 = -5*p - 5*u + k + 3, 5*p - 16 = -u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 + 19*(-4)\/6 and 84\/9*6\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737274416 minus 0.0378?\nAnswer: 737274415.9622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*h**2 - 7*h**6 + 18*h**6 - h**2 wrt h.\nAnswer: 1320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16786611 is divided by 9399?\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -5*b - 2*v, 0 = 3*b + 2*b + 4*v - 71. Let w = 31 - b. Suppose 6*p - p - w = 0. Solve -4*q = -16, d - 2*d + p*q - 19 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 18 = q, -18 + 47 = -5*o + 2*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*j + 128*j = 110. Solve j - 30 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93498091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6129 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**3\/3 - 3*s**2\/2 - 94*s + 101. What is the hundreds digit of b(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*g - 151 = 0, -8*g + 782 = 4*g + 374 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17870471677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21 (b) 0.15 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20112 + 1110112202?\nAnswer: 1110210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/22 and -109\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 + 3*m + 1. Let p be r(-3). Let s = -86 - -92. Let y be s\/9 + 1\/(6\/(-4)). Solve -2*i + y*i - p = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8879.752cm?\nAnswer: 88797520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-3 + 2 + 0). Let m(l) = l + 4. Let o(c) = c - 2. Let y be o(-3). Let r be m(y). Is r not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126\/19 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 153843084 to the nearest integer?\nAnswer: 12403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 5*u = -12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.92 + -38. What is the fourth smallest value in -2\/15, -1\/10, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-88)\/(-108))\/(-11) - 25\/270. Which is the second smallest value? (a) -3 (b) -2\/37 (c) 2 (d) 4 (e) v\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*r**3*t**3 + 1374954*r**3*t + 2*r**3 - 94*r**2*t**2 + 94188*r*t**3 wrt r.\nAnswer: 48*t**3 + 8249724*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**8\/840 + 5*u**4\/24 - u**3\/6 - 2*u**2. Let y(t) be the first derivative of n(t). What is the derivative of y(f) wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/3 (b) 18 (c) -0.1 (d) 67\/2 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 18*i**4 + 170*i - 3 - 171*i + 4 to the form q*i + x*i**4 + t*i**3 + f*i**2 + j and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*b - 22, 0 = 2*w + w + 4*b + 14. Let p be ((-8)\/16)\/(4\/(-8)*5\/30). Solve -2 = w*k + 2*z + p, 1 = -4*k + z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123997*v**4 - 363358*v?\nAnswer: -1487964*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19040?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5661.7 + 5662. What is the smallest value in 0.2, s, 0.68, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 4, -130387 in decreasing order.\nAnswer: 4, 0.14, -130387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 28*g = -29*g - 2, -3*g = n + 6. Find the common denominator of -73\/8 and ((-3)\/(-4) - n) + 481\/(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1836)\/136*4\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 4, y: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442 and 312.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186314 + 279*c**4 - 150*c**2 - 186314 wrt c.\nAnswer: 6696*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 14028*m + 31 + 8927*m)*((m + 0*m - 2*m)*(m**2 - 2 + 2) - 3*m**3 + 7*m**3 - 2*m**3).\nAnswer: -5101*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 - -156. Let d(u) = u**3 + 8*u**2 + u + 6. What is the remainder when d(-6) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*h*w**2 - 2*h*w + 17666*h + 6*w**2 - 582322*w with respect to h.\nAnswer: -7*w**2 - 2*w + 17666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkukkkuukuuku. What is prob of picking 1 u and 1 k?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*(1 + 67)\/(-2). Suppose -6*f + c + 7 = 0. Suppose -31 = -3*p + 5*m - f, 3*p - 2*m - 27 = 0. Calculate the least common multiple of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 276 = 262, 4*p - u = 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v - 1)*(0*v**3 - v**3 - v**3) + 3*v**4 - 5*v**4 + v**4 - 3735*v**3 + 3735*v**3 + 38*v**4.\nAnswer: 41*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -6, -26, -64, -126, -218, -346?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12935, 13028, 13099, 13148, 13175, 13180, 13163?\n\"Answer: -11*i**2 + 126*i + 12820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1\/4, 115, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - f - 1. Let b(z) = 10*z**2 - 29*z - 40. Let u(s) = b(s) - 6*q(s). List the prime factors of u(17).\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000146211217 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**18\/a)*a**(-2\/45))\/((a*a**(3\/4)*a)\/(a*a**(-2\/43)*a)) assuming a is positive.\nAnswer: a**(-122609\/7740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 4*y + 5. Let x be v(4). Suppose -19 = -x*b - 4. Let i = b + 1. Solve -i*q - 5*f + 3 = -12, -5*q + 20 = 5*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 91.665. Let f = v - 0.005. Let w = f + 2.67. Put -1\/2, w, 4 in ascending order.\nAnswer: -1\/2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/(o\/o**(4\/9)))\/o)\/(o\/o**2))**(-4\/11)*(o*o*o**(1\/3))**(-11)*(o**(1\/4))**(2\/11) assuming o is positive.\nAnswer: o**(-5249\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1743376826724 - 3.5.\nAnswer: -1743376826727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1551 + 1557. Solve o = -b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 17. Let j(o) = 0 + o**2 + z + 7*o - o. Calculate j(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 71, 141, 235, 353, 495?\n\"Answer: 12*z**2 + 10*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1254484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**2 + 341 - 172 - 170. Give r(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 34. Let g = k + -14.32. Let t = g - 5. What is t rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -28. Let j be 1\/z - (-2)\/(-6). Let k = -0.3 + 0.3. What is the closest to k in -3\/7, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - f - 2)*(-2 + f + 2) as z*f + r*f**2 + l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -4.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 2*j**3 - 6*j**3 + 30.\nAnswer: -j**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -4)\/((-2 + 3)\/1). Solve q = 3*q - w - g, 23 = 5*q + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -33.9. What is the third biggest value in 1\/6, y, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 14*g - 178. Calculate w(0).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(156\/8) - (-8)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 5*s + 3. Let b be u(-5). Let g be 1 - (-3 + -6 + 3). Solve b*m + i + g = 0, -5*m - 9 = 3*i - 2*i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 8. Suppose 0 = -o*k - k + 87. Calculate the remainder when k is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**2 + 104*d - 2. Let g be y(16). Suppose 0 = m + 4*i - 21, -m = 3*m - 4*i - 24. Calculate the highest common divisor of m and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 37*t**2 - 175*t - 114. Calculate f(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(132) + -5*(sqrt(132)*-3 - sqrt(132)))\/((sqrt(108)\/sqrt(4))\/sqrt(9) + sqrt(3)))**2*-3.\nAnswer: -14565 + 252*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -613 + -51416?\nAnswer: -52130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -4, -26, -6, -36 in decreasing order.\nAnswer: 1, 0, -4, -6, -26, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6899, 6906, 6913, 6920, 6927, 6934?\nAnswer: 6941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5, 25, -0.2, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 11:24 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 8*x**2 - 3*x - 71. Let c be d(-9). Let v = -22 + c. Let u(s) = -20*s + 1. What is the remainder when u(-2) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 1. Let i be m(-2). Let y be -182 - ((-6)\/4)\/((-3)\/10). Let s = 181 + y. Put s, -4, i in decreasing order.\nAnswer: -4, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 19416095 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**3\/3 + 2*l**2 - 3*l - 19. What is s in w(s) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 199860.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-2 - (-3 - 0)). Let c be -2*(y + (-14)\/(-4)). Calculate the highest common factor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 147\/6)*-14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 215\/8, -5, -1, 0.6, 1\/10, 2 in increasing order.\nAnswer: -5, -1, 0, 1\/10, 0.6, 2, 215\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -3 + 2 - 3. What is the nearest to d in -5, 0.4, 6\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -433268\/15 - -45493517\/1575. Let v = n + -3\/175. Let f = 20 + -20. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/84)\/(-3) + 12\/(-16).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313217207?\nAnswer: 313217207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.8961382 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*h - 5 = -9 + 12, 0 = 2*a - 366*h + 732 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 9) to base 6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {k: 1, s: 9, v: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let o be (-18)\/(q\/(-2)) - 1. Let h = 8 - 4. Solve h*k = -c, 0 = -c + 6*c + 3*k - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -5 (c) -2\/5 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (-6 - -9) - -32*11.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d**2 - 16*d + 16. Let h(n) = 2*n**2 + 3*n - 3. Let l = 162 - 165. Determine l*m(a) - 16*h(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}