diff --git "a/data/dm_maths/full_data_1/10749_11255.jsonl" "b/data/dm_maths/full_data_1/10749_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10749_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor -17*y**2 + 83024*y - 146460.\nAnswer: -(y - 4882)*(17*y - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 10 + h**2)*(4 - 37 + 81) to t*h + n + a*h**2 and give a.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01773 - -0.20227. Let n = -2 + 2. Suppose -4*j + 2*r + 10 = n, -2*j = -2*r - 6 - 4. Is j < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20086 and 6308.\nAnswer: 763268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-5))\/(6128\/15320).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - u**2 + 12*u - 11. Let a be o(1). Let k = -3 - -5. Suppose -178 = -r - 4*q + 1389, 0 = -a*q + k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*y = u - 15, y = u - 10. Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 2*y**5\/15 + 5*y**4\/24 + 10*y**2. What is the second derivative of m(v) wrt v?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/60 + 3*r**4\/8 + r**3\/2 - 5*r**2. Let y be h(9). Solve 20 = -2*v - y*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sxprxxtxxrrxpx. Give prob of sequence txx.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 641214520 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Let s be z + (-1)\/(-2)*4. Factor -3*c**3 + 4*c**3 - s*c + 2*c**2 + 3*c.\nAnswer: c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -106 + 66. Let x = -18 - -52. Let l = 60 - x. Calculate the remainder when l is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 454520 and 45452?\nAnswer: 454520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -731\/6 - -20543\/168. Find the common denominator of f and 85\/(-34)*109\/(-140).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/76738 and -23\/1673718?\nAnswer: 61927566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 3*d**2 + d - 2. Let b be w(2). Solve -2*s = r, 5*r + 2*s + b = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 3*l**7\/280 + 7*l**6\/80 + 61*l**5\/240 + 7*l**4\/24 + l**3\/6 + l**2 - 10. Find g, given that z(g) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2567\/4 - 639. Let z(p) be the first derivative of 12 + 0*p**2 - 4*p + 0*p**3 - o*p**4. What is the derivative of z(b) wrt b?\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - k**2)*(k - 3*k + k) - 2*k**3 + 4*k**3 - k**3 + (-2 - 2 + 1)*(-2*k**3 - k**3 + k**3) + 0*k**3 - 3*k**3 + 4*k**3 - k**3 - k**3 + 3*k**3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y**(4\/17))\/y)\/y)\/(y**(-1\/33)*y) assuming y is positive.\nAnswer: y**(-412\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 8*o**2 + 8*o - 10. Let t be h(-9). Is t greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, b: 5, r: 4, z: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-11 + -20 + 14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*((-4095)\/(-2695) - 2\/22). Solve 0 = 6833*i - 6831*i + o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 4*l + 7. Let q(s) = 5*s**3 - 3. Let t(m) = 7*m**3 + 6*m - 17. Let p(i) = 2*q(i) - t(i). What is 8*h(f) - 5*p(f)?\nAnswer: f**3 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h - 22. Let v be l(-3). Suppose 2*c + 6*k = 2*k + 16, v*c = k + 21. Let m(i) = i**2 + 4*i. What is the hundreds digit of m(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4\/5 - 333904*v**3\/5 + 3716373780*v**2 - 344687473916096*v\/5 - 344706056118902\/5 = 0.\nAnswer: -1, 55651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1645, -13534, -46093, -109750, -214933, -372070, -591589, -883918?\nAnswer: -1259485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 25325 - 25267. Calculate the remainder when 158 is divided by u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Suppose 0 = -5*l + 23 - 3. What is the units digit of v(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 97 - 93. Find the second derivative of 0 + 1777*z + 29*z**5 - y + 3*z**3 - 1768*z wrt z.\nAnswer: 580*z**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 7. Let g(q) = -2*q**2 + 11*q + 11. Let p(n) = n**2 - 5*n - 5. Let k(l) = 4*g(l) + 9*p(l). Give k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*196\/(-200)*990\/(-154)\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 2764?\nAnswer: 5528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -1 - 3. Suppose v = -i*v. Suppose -46 = -2*f - v*f. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-146)\/12)\/(-1) - 1 and 10\/30 - (-134)\/(-33).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**5 + 8*p**4 - 35*p**3 - 32*p**2 - 200*p wrt p.\nAnswer: -120*p**2 + 192*p - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12864 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-18))\/(4\/(-9)). Let v be (4\/9)\/(16\/(-24)). What is the nearest to 3\/2 in v, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 235*v**2\/4 + 32851*v\/4 - 80609 = 0?\nAnswer: -149, 2164\/235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 95 + 25. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405252540 (base 6) to base 8\nAnswer: 32465714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*b**2 + 29*b**2 + 86*b**2)*(1 + 3*b - 1) + (214 - 362*b - 214)*(b**2 - 3*b**2 + 0*b**2) in the form f*b**2 + m + y*b**3 + n*b and give y.\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/8)\/(2\/(-8)). Let f = 7 + w. Suppose 3*i - 57 = -f*o, -5*i - 3*o = 2*o - 95. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 96596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-108)\/(-11880))\/((-15)\/(-10)))\/((-3)\/(-10)).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cowfmimo. What is prob of sequence wfc?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 9. Let x(j) = 2*j + 1. What is i(d) - 4*x(d)?\nAnswer: -6*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 3*s**7\/280 - 31*s**4\/24 + 11*s**3\/2 - 35*s. Let z(u) be the second derivative of q(u). Differentiate z(d) wrt d.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -1551. Let w be a\/(-5) + 1 + (-50)\/125. Suppose 4*n + d + 0*d = 295, 0 = 4*n + 2*d - w. What is the remainder when n is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -3) + 2 + -2. Let j = 29 + -24. Suppose s*h - j*h = -41. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*o + 235276, -296*o + 299*o - 235301 = -4*w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 174275 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (0\/1)\/1. What is the greatest common factor of r and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -323.120125 - -325.12. Let g = 1.5 - -0.5. Let y = g - m. What is y rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-42))\/((-92)\/(-2208)))\/((-108)\/42)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 2*q + 32708*q**3.\nAnswer: 32708*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*s + 16695 - 3471 = 86*s. Sort 2, -3\/2, s in increasing order.\nAnswer: s, -3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*h + 2*l, 5*h + 4*l = 5*l + 17 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6729 is divided by 105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94762 - -455831. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2837798 - 13?\nAnswer: -2837811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (9 - (-2 + 1 - -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -67, -160, -291, -460, -667?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3011580 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11108 (base 16) in base 4?\nAnswer: 101010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213.5 - -213. Let v be 8\/2*52\/56 - 4. Which is the nearest to v? (a) k (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0 + 1 - g + 5. Let q = 10 + -3. Let b be i(q). Sort 2, b, -3.\nAnswer: -3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 271.9867 + 0.0133. Let u = y - 248.2. What is u rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 3*u**2 + 5*u - 2. Let d(s) be the third derivative of s**6\/120 - s**5\/15 - s**4\/3 + 11*s**3\/6 - 9*s**2. Let c be d(5). Determine r(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*h + 154 = -72, -2*c + 2*h + 132 = 0. Calculate the highest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(170)*2*-6)\/(((sqrt(110) + sqrt(110) + 1*sqrt(110) + sqrt(110) - sqrt(110))*5)\/sqrt(11))*-6)**2.\nAnswer: 352512\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199190208, 199190209, 199190210, 199190211, 199190212, 199190213?\nAnswer: 199190214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*r - 8 = 2*j, 0 = -4*j + r + 1. Let m be 2*j - 16\/8. Suppose 12 = z + 5*f, m = 2*z + 4*f + 6 - 60. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**4\/4 - 2*z**3 + z**2 + 7*z + 1. Suppose 4*u - 2*h = 40 + 28, 5*u = 5*h + 95. Suppose 0 = 7*q - 10*q + u. Give b(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 69*j**4 + 3*j**2 - 2*j + 134. Let l(i) = -137*i**4 - 5*i**2 + 3*i - 267. Let m(a) = -3*l(a) - 5*z(a). Find the first derivative of m(u) wrt u.\nAnswer: 264*u**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + q + (8 - 3 + 0)*(-24*q - 5761 + 5761) + (5 - 2*q - 5)*(3 - 4 + 0).\nAnswer: -117*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -2\/9, -719, -2\/7 in descending order.\nAnswer: 1\/7, -2\/9, -2\/7, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5 + 1. Let x be -2 + d + (-3)\/(-3). Put x, -1\/5, -0.3 in ascending order.\nAnswer: -0.3, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/588 and -43\/112?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 - 2.4. Which is the closest to -0.1? (a) j (b) 0.08 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvsvvvvvvv?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 + 0) - -5. Suppose -z*v = -5*v + 4. Suppose -t - 33 = -v*t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 5*g**2 - 3*g - 2. Let v be q(4). Factor -139*f**v - 3 - 3*f**4 + 3 + 142*f**2.\nAnswer: -3*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*t, 3*t - 3484 = 3*b - 32974. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 3, x: 1, h: 1, k: 2, o: 5}. Give prob of picking 2 k.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 3 (c) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0, -8699\/5?\nAnswer: -8699\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 1\/6 (c) -12.9 (d) -0.12 (e) -103\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:36 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d**3 + 20*d**2 + 183*d + 77. Does 4 divide v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-99))\/(6\/9*-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 1:52 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 289772 and 349246?\nAnswer: 386266076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 288051 - 159112. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 1, n: 4, o: 3, y: 3, g: 2}. What is prob of picking 1 c, 2 n, and 1 g?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*x**3 + 7976*c**2*x - 2*c**2 - 53*c*x**3 - 14*c*x - 1 wrt c.\nAnswer: 4*x**3 + 15952*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 p when four letters picked without replacement from mpppmm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.17 + 0.83. Let i = n - 8. Put -3\/7, 2\/9, i, 5 in decreasing order.\nAnswer: i, 5, 2\/9, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 72 - 57 = -17. Calculate the smallest common multiple of 326 and y.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(76) + sqrt(171)\/(sqrt(18)\/sqrt(2)).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1784454553210 from -0.5.\nAnswer: -1784454553210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:50 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-40)\/(-34)))\/(-30*(-99)\/14850).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/45 and -62\/95.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**4 + 12*s**2 + 9*s**2 + 19*s**2 - 80 = 0. What is s?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q**(-4)*q)\/q)\/((q*q*q\/(q\/(q**(-6)\/q))*q)\/q)*q\/(q*q**(3\/8))*q**(2\/5))**(5\/4))**11 assuming q is positive.\nAnswer: q**(891\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -116, -369, -784, -1355, -2076, -2941, -3944, -5079?\n\"Answer: k**3 - 87*k**2 + k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*f, -2*w = -3*w + 2*f. Suppose 5*q + w*q = 70. Let y be (-72)\/q*126\/(-36). Solve 5*t = 10, -r + t - y = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 3:40 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.48292396032 - -264114.18283396032. Let k = t - 264071.7. Let y = 42 - k. Round y to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -29*v**2 + 14*v**2 - 3736 + 16*v**2 + 3727. Determine q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 + 7*h**2 + 8*h - 5. Let q(k) = 6*k**3 + 14*k**2 + 17*k - 11. Calculate 13*p(t) - 6*q(t).\nAnswer: 3*t**3 + 7*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**2\/3 - 32*x + 40\/3.\nAnswer: -2*(x + 10)*(5*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 5. Let d be y(10). What is the third derivative of -4*k**6 + 36 - k**d - 37 - k**2 + 2*k**2 wrt k?\nAnswer: -480*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9285 + 9285.12025. What is p rounded to 3 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749487491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - -3)\/((-33)\/(-451)) + 1 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/21 - 10552*k\/21 + 4277250\/7.\nAnswer: 2*(k - 3375)*(k - 1901)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8160884 and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m**4 + 11658*m**3 + 19449*m**2 + 7782*m = 0.\nAnswer: -1, -2\/3, 0, 1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8*(586\/(-10) - (-2)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -41*i**3 - 11*i + 5. Let y(w) be the first derivative of -7*w**4\/2 - 2*w**2 + 2*w - 442. Determine -4*n(c) + 11*y(c).\nAnswer: 10*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. Suppose 3*p - 5*n = 21, -p = -0*n + n + d. Suppose 3*o - p*o = -5. Sort 3, 5, o in descending order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 17 = 4*w, -6*w = -w + 4*d + 20. Let g = 10 + w. Suppose -g*o + 152 = -0*o. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34\/53, -0.1, 58.209 in increasing order.\nAnswer: -0.1, 34\/53, 58.209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 23. Factor -l*m**2 + 4*m**4 - 4*m**4 + 4*m**4 + 11*m**2.\nAnswer: 4*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 16*h - 14*h + 4*b, b - 10 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 22 = 8*y, 4*y + 53 = -5*n + 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18, -3, -120\/7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (9\/(-12) - -1) + 67060\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 42*w - 9. Let i be l(-10). Suppose 2*f = 5*u - i, 4*u - 3*f = 2*u + 131. Calculate the remainder when u is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 5*w**3 - 4*w**3 - 12880*w + 12874*w.\nAnswer: 3*w**3 - 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**5\/15 + 91*j**4\/3 - 362*j**3\/3 + 524*j**2. Let s(i) = 0. What is i?\nAnswer: 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121290 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/90 - (-26)\/5. Let y(x) = -4*x**2 - 1. Let m be y(-3). Let g = -25 - m. Solve -z - t*n = -4*z - g, -5*z - n = 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1563*z + 468 wrt z.\nAnswer: 1563","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 239991565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/8)\/(3\/(-12)). Let c = 5 - 4. Let q(i) = -2*i**3 + 331*i**2 - 498*i + 980. Let g be q(164). What is the nearest to 1\/2 in c, g, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -48, 1\/8, 4, 1\/2 in decreasing order.\nAnswer: 4, 1\/2, 1\/8, -0.2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.013335 litres?\nAnswer: 4013.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 578 and 1114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*j - 126. Let c be (19 - -1)*(-1 + j\/14). Solve -2*z = -4*z - 5*l - 4, -4*z - l + c = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -19*z - 5. Let n be (-4)\/(-18) + (-94)\/18. Let l be u(n). Calculate the greatest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45481316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o. Suppose 98 - 88 = d. Let n(m) = -11*m - 4. Let z(q) = -2 + 1 + 4 + 10*q. Let r(w) = 3*n(w) + 4*z(w). Determine d*h(v) + 6*r(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*u - 8, 3*u + 2*u - 8 = -4*b. Solve n = d + b, -d - 14 = -0*d - 4*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*m + 27*m + 50*m + (0 + 0 - 2)*(2 - 2 + 2*m) - 2*m + 4*m - 3*m - m - 5 + 5 to v + d*m and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(-13\/2)))**(-22\/7)*(r\/((r\/(r\/(r\/r**(-13\/2)*r*r))*r)\/r))\/(r*r**(2\/7)\/r))**8 assuming r is positive.\nAnswer: r**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 269550 and 9?\nAnswer: 269550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42\/5, 102, -0.5?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.2 + 39.3. Let v = -31.11 + z. Sort -2\/3, v, -2.\nAnswer: -2, -2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 - 9*k**2 - 4*k - 3. Let b be h(5). Suppose 7 - 15 = -b*j. Solve 4*c = -0*c - j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 88\/12 + (-1)\/3. Suppose -a*x = -12*x - 2085. Let g be (5\/30*2)\/(1\/x). What is g rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 15\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*b - 107*b + 70*b)*(0 + 0 + 2*b + (4 - 4 + 2)*(0*b + 2*b - 3*b) - 1 - 2*b + 1).\nAnswer: -56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = s - 950, 0 = 2*s - s - 3*z - 958. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 711 and -9.1412?\nAnswer: -6499.3932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*a - 43, -2*d - 59 = -6*d - a. Suppose g - d = 41. Let h = g + -51. Solve h*r - 5 = 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*f - 10, -2*f = -0*w - 4*w + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11136438 or 55682188\/5?\nAnswer: 55682188\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -30*t**3 + 24. Let n(k) = 6*k**3 - 5. Let v = 102 + -99. Suppose -h - 92 = 4*q, 84 = -8*q + 4*q - v*h. Calculate q*n(r) - 5*d(r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 43*b + 22. Let r(u) = -2*u - 4. Let a be r(-5). Let m(h) = -21*h - 11. Let y(q) = a*j(q) + 13*m(q). What is the first derivative of y(v) wrt v?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u + 4*s - 560, 2*s = u - 180. Calculate the remainder when u is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4 = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -151, -174, -163, -118?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-5 - (-5 - -1 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 41 = -2*u. Sort u, 109, -3 in ascending order.\nAnswer: -3, u, 109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9038 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a - 2. Let x be l(2). Sort x, 1\/3, 0 in descending order.\nAnswer: x, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + -169 - (-16 + 2 + 2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c + 4. Let j be z(-3). Suppose 4*v - 1 = 2*i - j, 2 = -v. What are the prime factors of 13\/(i + (1 - 2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 5*g - 7. Let v(b) = b**2 + 4*b - 6. Give 4*r(h) - 5*v(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 1 + 12*j**2 - 17*j**2 - j**3 + 4*j**2 as f*j**2 + k + z*j + g*j**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9914358 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 4*t**3 + t - 85*t**2 - 6*t**2 as n + j*t**3 + i*t**2 + o*t and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -3. Does 6 divide n\/42 - 590\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/936 and 29\/67464.\nAnswer: 877032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -17*j**5\/5 + 5*j**4\/4 + 3469*j**3\/3 + 2346. Find the third derivative of i(g) wrt g.\nAnswer: -408*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184851143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**9\/(d\/((d\/((d\/(d*d**(1\/6)*d))\/d))\/d)) assuming d is positive.\nAnswer: d**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v = 32*v - 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*p = -13*p - 29. Let q(v) = 9*v**2. Determine q(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**3 + 9*m**2 - 10*m + 8. Let p(c) = 10*c**3 + 9*c**2 - 10*c + 7. Let w(h) = -2*p(h) + 3*x(h). Calculate w(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.1854795 rounded to 2 decimal places?\nAnswer: 41.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + 9 + (-4 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161243.\nAnswer: 383, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 423 + -291. What is the remainder when c is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 6*v**2 + 5*v + 10. Suppose 3 = -5*u + 38. Let g be c(u). Let w = -9 - g. Put w, -4, -3 in descending order.\nAnswer: -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 16, -153*h + 148*h = -3*j - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -23?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/4)*p**4)\/(p**(1\/5)*p**(-3\/4)) assuming p is positive.\nAnswer: p**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d**3 + d**2 + 4*d + 2. Calculate the least common multiple of 16 and z(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1989 - 18*l**2 + 1917 - 262*l - 657 + 17*l**2 with respect to l.\nAnswer: -2*l - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 229231669.1 to the nearest ten thousand.\nAnswer: 229230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 17*w + 21. Let u be 164\/9 - 8\/36. Let k be x(u). Suppose s - 17 = p, k*s + 6*p = p + 75. Calculate the smallest common multiple of 10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 121*t**2 - 24*t - 41. Let h be x(-2). What is the closest to 2\/7 in 1\/4, h, -1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/5 + 5*j**2. Let y(v) be the first derivative of 6 - 2\/3*v**3 + 0*v**2 + 0*v. What is m(y(p))?\nAnswer: 48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25 + 610\/30)\/((-2)\/3) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 - 2*u**3 + 5*u**2 - 121*u - 90*u + 138*u - 85*u + 5*u**3 to the form f + g*u**3 + p*u**4 + b*u**2 + q*u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 5*x**2 + 6*x + 8. Let n be t(-6). Let i(o) be the third derivative of -o**5\/60 + o**4\/3 + 5*o**3\/6 - 38837*o**2. Calculate i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 57*o**2 + 356*o + 54. Determine a(-50).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/8 + 12\/(-48). Let r(j) = 2*j + 1. What is the remainder when 31 is divided by r(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112, 122, 136, 154, 176, 202, 232?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5504 + 26*y**2 - 5508 - 101*y**2)*(-13 - 4*y**2 + 3*y**2 - y**2).\nAnswer: 150*y**4 + 983*y**2 + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 5*i + 3. Let y be m(-2). Let s be ((-4)\/(-8) - 0)*(21 + y). Suppose -s*f = -12*f + 2. Solve -l - 6 = w, 3*l + f*l - 2*w = -23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -23. Let i = z + -4\/7. Which is the second smallest value? (a) i (b) -2\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Suppose 0 = k*f + f + 1404. Let b = -194 - f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**2 + 0*r**2 - 4*r**2)*(-3*r - 9*r + 5*r - 6) + 116*r**2 - 116*r**2 + 9*r**3 in the form d + m*r**3 + h*r + t*r**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -12, -233344, 1.\nAnswer: -233344, -12, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**7\/840 + r**6\/72 - r**5\/15 + r**4\/3 + 14*r. Let x(w) be the third derivative of l(w). Determine k so that x(k) = 0.\nAnswer: -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778700641 + -2.44?\nAnswer: 778700638.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*w**3*z**2 + 1712*w**3 + 2*w**2*z**2 + 3*w**2 + 29*z**2 + 6 wrt w?\nAnswer: 108*z**2 + 10272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2 + 1*(sqrt(396) + 5) + -5)*2)**2.\nAnswer: -96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -299 + 293. Which is greater: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 5*l**2 - 6*l - 1. Suppose -9*h + m + 8 = -10*h, -2*m = h + 12. Determine p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 727*f**3*m*p**2 + 682*f**3*p + 3*f**3 + 324*f**2*m*p**2 - 68*f**2*p - 27*f*p**2 wrt f.\nAnswer: 4362*m*p**2 + 4092*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*f - 964 - 702 = 0 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 4*y - 2. Let b be o(2). Suppose 4*d - 64 = -2*g, 2*g - b*d - 52 = -0*d. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 78 = -4*a. Suppose -2*q + a = -1. Calculate the remainder when 22 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13)\/(k\/(k\/(k*k**(5\/6)\/k))*k))**(-3\/26) assuming k is positive.\nAnswer: k**(89\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (5 + -6 + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccfcfffccxc. What is prob of picking 4 c?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.79 and -2.\nAnswer: 7.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 5 + o**2 + 27 + 25.\nAnswer: o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2292, 5696, 9100, 12504, 15908, 19312?\n\"Answer: 3404*d - 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 714, 1423, 2122, 2811, 3490?\n\"Answer: -5*r**2 + 724*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:29 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 20 = 29. Suppose c + 4*c = -f*c. What is the second biggest value in -17, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 8*x + 8. Which is the biggest value? (a) x (b) 0 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 346 - 287 = -5*v, -4*v - 3*k = -501. Let h be 7\/((-5)\/(-2) + -2). Calculate the greatest common factor of h and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 5380145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 14*t + 1. Let v be n(-7). What is the third biggest value in 0.5, -1, -0.188, v?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2675.8 and -38.5292?\nAnswer: 2637.2708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76557, 76552, 76547, 76542, 76537, 76532?\n\"Answer: -5*u + 76562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -486 - -479 - (12 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*t**3\/5 + 6440*t**2 - 18376*t\/5 + 2624\/5.\nAnswer: -2*(t - 328)*(7*t - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 3*x + 12 + 3*x.\nAnswer: 3*x + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from plcplbllllcc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/7 - 160*a**3\/7 + 44*a**2 - 152*a\/7.\nAnswer: 4*a*(a - 38)*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o + 8*o - 22*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 6) in base 5?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a**2 + a - 1. Let h(f) = -25*f**3 + 5*f**2 - 5*f + 5. Calculate -h(y) - 5*p(y).\nAnswer: 30*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 550360708 and 2804.\nAnswer: 2804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 n when four letters picked without replacement from rrrrnnnrnnrr?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/903)\/(((-70)\/315)\/(6\/(-9))).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/257 or 12?\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/17232 - -906697\/26175408. What is the common denominator of -103\/1736 and n?\nAnswer: 12152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*z**2 - 45*z**2 - 6*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f + 595 = 52*f. Calculate the greatest common factor of 125 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*q + 328. Let i(d) = d**3 - 3*d**2 - 3*d - 1. Let b be i(3). Let j be (-6)\/15 - q\/b. What is the greatest common factor of 80 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*f - 964450 - 367676 = -69*f. What are the prime factors of f?\nAnswer: 3, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2917568 and 3648?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:08 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 6297750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p - 109. Let f = 11553 + -11537. Calculate v(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -202, -4215, -15934, -39211, -77898, -135847, -216910?\n\"Answer: -642*f**3 - f**2 + 484*f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - 174\/(-18)) + 2\/(-3) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-3)*6984\/(-251424)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020220168 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 5\/4, -6349, -51, 0.1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3 and (-29)\/4*44\/(-165).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z - 2. Suppose -108 = 5*t + 4*k - 1, -12 = 4*k. Suppose -s = 3*s - 84. Let c = t + s. What is h(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.605 rounded to 1 decimal place?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 747.1144t in grams?\nAnswer: 747114400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 661996 and 855616.\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*a**3 + 467*a**3 - 165*a**3 - 166*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7153?\nAnswer: 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/60 + t**4\/4 - 7*t**3\/6 + 5*t**2. Let y = -7 + 12. Give z(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asnn. What is prob of sequence an?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61601629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/260*-6*1240\/96. Let v be 10\/3*(-6)\/(-26). Let z = h - v. Is -1 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -15*n**2 - 141*n - 71. Let g(o) = 3*o**2 + 28*o + 14. Let w(j) = 11*g(j) + 2*l(j). Let r be w(-10). Is (1 + (-66)\/(-8))*r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -12. Suppose -3*l = f*a - 42, -2*a - 2*l + 34 = -4. Let h be (-212)\/(-7) - (-4)\/(-14). Calculate the highest common factor of h and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.103 - 0.2\nAnswer: -2.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 113. Suppose 0*y - 72 = 2*y. Is 18 a factor of (y\/(-2))\/((-6)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(-5*g + 12*g - 4*g)*(2 - 3 + 6).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/7? (a) -2\/103 (b) 6 (c) -2 (d) 0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 1170*q + 4760.\nAnswer: -5*(q - 4)*(q + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13947*b + 1617858. Determine w(116).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 173, 205, 237?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 - q**2\/3 - 5*q\/2.\nAnswer: q*(q - 5)*(q + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 1807?\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 0, 0 = 3*y + 5*v - 1 + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1277 - 22*s + 1277.\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 195753630 a multiple of 9245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -26. Let p = 0.23 - -0.07. Let v = -0.2 - p. Which is the second biggest value? (a) s (b) -4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-8)\/b)**43 assuming b is positive.\nAnswer: b**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/8 + (-63)\/(-2). Suppose -3*v - 4*q = -v - 8, -v = -5*q + i. What is the units digit of (-1)\/(v\/46)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m + 2. Let q(u) = 4*u - 5*u - 2 + 8*u. Let r(t) = -6*q(t) - 4*s(t). Let x be r(0). Let w(i) = -i**2 + 2. What is w(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = q + 2*q + 10, -3*q - t + 2 = 0. Solve q = -3*w + 5 + 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-18)*-1119 + 2. Let s = g + -371. Do 3 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1 - 4 - 3670*o + 3 + 3675*o + 5. Determine j(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(8\/7)\/(w**(-1\/5)\/w) assuming w is positive.\nAnswer: w**(82\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9372 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*p = 6 - 49, l - 4*p = 73. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3122.4788 - -3123. What is l rounded to two dps?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -581 times 453976?\nAnswer: -263760056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 206. Let z be (d\/(-30))\/((-1)\/3). Solve 0 = -4*v - 3*q + 12, -2*v - z + 3 = -4*q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560768272 - -51067?\nAnswer: 1560819339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -22, -149, -5?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29466776?\nAnswer: 2, 937, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 6a48?\nAnswer: 6a4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, b: 3, r: 1, t: 1, e: 2}. What is prob of sequence ger?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 49015683*h.\nAnswer: -3*h*(h - 16338561)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.57 times -813?\nAnswer: 19975.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 + -130. Suppose -4*i = 2*q + 30, 0 = -3*i - q - 4*q - 33. Let v = i + 4. Which is the second biggest value? (a) v (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 + 0*y**2 - 6*y**3 + 0*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 2*f**2 - 6*f**2 + (3*f - 1 + 1)*(-2 - f + 2) + 5*f**2 - 4*f**2 + 0*f**2 + 1 - f**2 + 40*f - 33*f + 0.\nAnswer: -5*f**2 + 7*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*d + 17, 2*f - 4*d = -3*d - 2. Sort -50, -3, f, -2 in descending order.\nAnswer: f, -2, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155213 (base 7) to base 6.\nAnswer: 353455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -15*c - 1. Calculate z(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p + 21 + 30*p**2 - 27*p**2 - 4*p. Let z(v) = -1. Let j(s) = -l(s) + 4*z(s). Differentiate j(n) wrt n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6bb752 (base 13) to base 11.\nAnswer: -14a3981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4703 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117516 is divided by 14687?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by -42.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 15 = -2*b. Suppose f = 3 - 1. Let a(m) = -9*m**2 + 14*m**2 - 4 + 7*m - 6*m**f. Determine a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814625 is divided by 501.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 614738?\nAnswer: 7\/307369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/5 (b) 380 (c) -0.3 (d) 0.325 (e) -1\/3 (f) -4\/5 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4\/3 - 265*v**3\/3 + 545*v**2\/3 - 275*v\/3 = 0. Calculate v.\nAnswer: -55, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30629 is divided by 10092.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1496753 is divided by 806.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.081 and -7.\nAnswer: -6.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2105, -4, 4 in ascending order.\nAnswer: -2105, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2030 - w**3 + 2031 + 12*w + 2*w**2 - 9*w. Calculate f(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*k + 41, 0*m + k - 17 = -m. Calculate the smallest common multiple of 8 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 162\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + -2*(-3*sqrt(17) + 5)))**2*2.\nAnswer: -2376*sqrt(17) + 13194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**5 - 545*x**4 - 13700*x**3 + 482180*x**2 - 2405280*x - 6840000 = 0.\nAnswer: -38, -2, 12, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(-1))\/((s\/(s*s*s**1*s*s*s))\/(((s**(-3)\/s)\/s)\/s))*((s**(-2\/5))**27)**(-49\/4) assuming s is positive.\nAnswer: s**(1353\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317 divided by 51.\nAnswer: -317\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, 7.01, 1, 3\/8, -2, -0.2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2 + -7 + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2919999\/(-4) - (-7)\/(-28). Round l to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 3*d, 3*d - 13 = -r - 0. Suppose r*s + 40 = 8*s. Suppose 7*x - s*x + 6 = 0. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 - 5*n**2 - 3*n - 2. Let m(y) = -40*y + 37*y + 12*y**3 - 7*y**3 - 8*y**3 - 4*y**2 - 2. Calculate -4*k(w) + 5*m(w).\nAnswer: w**3 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490 is divided by 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = -18 + 12 + 6. Solve -4*v - 27*a = -23*a, -v - 4*a - 12 = g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**34\/(i**(13\/3)*i))**(-31) assuming i is positive.\nAnswer: i**(-2666\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(19) + (1 + sqrt(171))**2 - (sqrt(2299) + -1)**2 - (sqrt(19) - 4*sqrt(76)\/sqrt(4) - (-1*sqrt(152))\/sqrt(8)).\nAnswer: -2128 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1312, -2624, -3936, -5248?\n\"Answer: -1312*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/6 - 59*c**3\/6 + 597*c. Let q(y) = -9*y. Determine q(g(v)).\nAnswer: 18*v**2 + 531*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z**3 + 61*z + 36. Let d(v) = 2*v**3 - 12*v - 7. Let p(k) = 11*d(k) + 2*m(k). Is p(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 32 - (21 - 43).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a - 8*a**3 + 13*a - 7*a + a**2 + 34 as f*a**3 + o*a + k*a**2 + p and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1074181666*l**5 + 161607194*l**2 wrt l.\nAnswer: 64450899960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4788326 is divided by 25606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-698)\/((-110)\/(-14) + -9 + 7 - 6)?\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2229, -0.3, -0.5, -1, -11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:14 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (53\/2)\/(4\/40). Suppose -12*l + x = -7*l. What is the remainder when l is divided by (-4)\/18 + -3*505\/(-135)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*y**3 + 642738*y - 51811523.\nAnswer: -6*y**2 + 642738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*v + 779*v + 2088*v = -6666 + 352641 for v.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4\/4 - 5610*j**3 + 519975*j**2 - 16208320*j + 168729600 = 0.\nAnswer: 30, 32, 4394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 17, j: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 + 5*f + 20. Let t be v(-5). Let k = -70 + t. Calculate the highest common divisor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19324.\nAnswer: 2, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/40807116 and -139\/12?\nAnswer: 40807116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1 - 9\/(-6)). Let s be ((-24)\/(-30))\/(c\/165). Suppose 0 = -4*f + 82 + s. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12012 is divided by 1979.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -111*n**2 - 3*n - 4. Let q be w(-1). Let z = 131 + q. What is the highest common factor of 133 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14987 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let f(x) = -1381877*x. Calculate y(f(j)).\nAnswer: -2763754*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from {l: 4, f: 5, s: 1, b: 4, k: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 8. Let a be m(26). Suppose -6*h - a = -28*h. Solve h*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/108)\/(14\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-9)*0 - (-356 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5784 divided by 241\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*k**3 + 39*k**3 + 6 + 2*k - 79*k**3 to c + l*k**3 + j*k + x*k**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 35 = 3*t - 87, 0 = -5*t - 2*x + 72. What is the highest common factor of t and 1336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 152955140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 42123263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.48 + -26.48. Let t = -24.018 - b. Are -1 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 335\nAnswer: -1\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -33560 at least as big as -33562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33514?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b**2 - 76*b - 7. Let v be k(7). Suppose v = 4*w - 0*q - q - 5262, -3940 = -3*w + 4*q. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -636*i - 11726. Give r(-19).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 4*s**2 - 2*s**2 + 2*s**2 + 4*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (32 + -257)\/((-75)\/10)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8782 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 3:16 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7892*l**4 - l**3 + 67*l**2 + 1270796*l - 3?\nAnswer: -94704*l**2 - 6*l + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 569099717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*o + 14. Let f = o + 13. Let w = 6 - f. Are -1 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 26*a - 161. Determine g(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 883922678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cspcssls.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217026081, -434052167, -651078253, -868104339?\nAnswer: -1085130425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 465647929 divided by -4.\nAnswer: -465647929\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.162 less than -3603076316263?\nAnswer: -3603076316262.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 0, 232, -5 in decreasing order.\nAnswer: 232, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/26 in 1, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 1. Let n be i(1). Suppose 0 = -4*m - n + 15. What is the greatest common factor of 6 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 + 4*o + 3. Let h be y(-2). Suppose 8*g + 605 + 3 = 0. Let m be (-258)\/(-21) - (3 + g\/28). Which is smaller: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*t = 3*t + 17, -3*s = 2*t - 10. Suppose s*d = -2*z - 2*z + 8, 0 = 3*z - 4*d - 41. Suppose 15 = p + z. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/9 + 142*y\/9 - 16 = 0.\nAnswer: -72, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400 - 2*w**3 - 410 - 403 - 374 + 1587.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1504 - 68*q + 25*q + 37*q.\nAnswer: -6*q + 1504","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1435.6048 to 0 decimal places.\nAnswer: -1436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(sqrt(50) - sqrt(50)*3)**2 + -2.\nAnswer: -1207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 1 - 65. Let s = 7983 - 7943. Calculate the smallest common multiple of s and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -1, -1013 in ascending order.\nAnswer: -1013, -79, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 5 = -4*y, -y = -25*g + 29*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v + 119*v**2 - 5 - 117*v**2 - 6. Let f(i) = 3*i**2 - 15*i - 22. Let g(l) = 3*f(l) - 5*h(l). Calculate g(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202626 (base 7) in base 3?\nAnswer: 201200122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53299 is divided by 1025?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let v(c) = 305*c + 3843. Let m(w) = -w - 9. Let b(q) = 1708*m(q) + 4*v(q). Calculate b(k(j)).\nAnswer: 976*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/13 (b) 2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 + -5 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -543647*l**4 + 40*l**3 + 2721549*l**2 - 32*l.\nAnswer: -13047528*l + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1631.\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -49. Suppose 3*v - 164 = -2*u, -4*v + 33 = -u + 137. What is the remainder when u is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1394 - -1198. Let m be 4\/((-168)\/(-225)) + 168\/f. Factor 0*d**2 - 3\/2*d**4 + m*d**3 - 6*d + 0.\nAnswer: -3*d*(d - 2)**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 7*b = 5*t - 45, 2*t - 14 = b. Let f = 30 + -25. Let h be 5 + 0 - (f + b). Solve h*l - 5*j + 15 = 0, 2*j - 3 = l + j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 3\/4, 1.\nAnswer: 0.12, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 4:45 AM?\nAnswer: 506","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 99. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -8, 632 in increasing order.\nAnswer: -8, 8, 632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l + 2. Let y(d) = 10*d - 10*d + 5*d**2. Let b be y(l). Solve 2*s = -2*s - b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37233 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let o(z) = z - 1 - 1 + 1. Let u(d) = 11. Let b(j) = -j**3 + 15*j**2 - 3*j + 44. Let q be b(15). Let t(f) = q*u(f) - 11*o(f). Determine l(t(m)).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 13410960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -2)*(-4)\/(-3). Let k = -52 + 362\/7. Which is the third smallest value? (a) k (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 + 3*m**2 - m - 1. Give c(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + u**2 + 1. Let y be q(1). Suppose -3 = -x - c, -4*c - 21 = -y*x - c. Solve 5*z + 9 = -3*w, -2*w - 3*w = -x*z - 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c + 1. Let l be t(2). Let j(f) = 4*f**3 + f**2 + f - 1. What is the remainder when (-1586)\/(-234) + (-2)\/(-9) is divided by j(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**3\/3 - 2*t. Let b(z) be the third derivative of -z**4\/6 - 7*z**2 + 1. What is b(q(s))?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 28064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 136 + 18. Calculate the lowest common multiple of 12 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ce5 - -2?\nAnswer: ce7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/16640 and 21\/83200.\nAnswer: 83200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 4, 5 in decreasing order.\nAnswer: 19, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101001100 - 11111111?\nAnswer: -100001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 9:15 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 5, u: 4, z: 2}. Give prob of sequence zs.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oorooraorn. What is prob of picking 1 r, 1 a, and 1 n?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 53*y - 1. Let o(u) be the third derivative of 0*u**4 + 0 + 0*u + 133*u**2 - 1\/30*u**5 + 0*u**3. What is m(o(i))?\nAnswer: -106*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -41. What is the common denominator of 1\/6 and 4\/8 - (-4 + p\/(-8))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 382, 578, 792, 1030?\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**3 + 55355*a**2 - 28024325*a + 3469745125 = 0. Calculate a.\nAnswer: -11561, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 198938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 minutes after 6:13 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 4253067\/43 less than or equal to 98908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -71*l. Let s(y) be the first derivative of y**2 + 179. What is w(s(f))?\nAnswer: -142*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:24 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11348279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 + 5*i**2 - 2*i + 1. Let u be b(-4). Let k = 98 - u. Suppose -c = 2*c + l - k, -19 = -c + 5*l. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 4*z - 4*v + 16 = 0, 2*v = 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.1 (b) 0 (c) -30 (d) 392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 210 = 0. Suppose 0 = -4*l + l + 12. Suppose -t - 77 = -u - 4*u, l*u - 5*t = c. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1090890 and 23994?\nAnswer: 46908270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 182\/(-8)*2*(1 - -9). Let l = y - -921. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l - 69. Let r(n) = -4*n + 84. Let i(y) = -6*c(y) - 5*r(y). Determine i(-21).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/7 + 1640*g**3\/7 + 64486*g**2\/7 + 619476*g\/7 = 0.\nAnswer: -19, 0, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -337 or -336?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 457\/3 + -151. Which is the nearest to 2? (a) -1\/6 (b) s (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -51. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*o**2*p**2 + 2*o**2 + 10*o*p**3 + 1344*o*p + p**3 + 2*p**2 wrt p?\nAnswer: -16*o**2 + 60*o*p + 6*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/489 in 1, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 - -4.7. Let v = u - -1.4. Let m = 3.5 - -0.5. Which is the nearest to v? (a) m (b) 0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199 and 1535683.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = 2*k, 5*w - 61 = 2*w - 5*k. What is the greatest common factor of w and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 5. Let s = 5 - x. Let j(d) = -2*d - 3. Determine j(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 1. Let b be o(6). Let v be -2 + 5 - 0 - (-27 + 33). Put b, 4, -2, v in increasing order.\nAnswer: v, -2, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11020 in 7, -4, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4790 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 0*y + 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**2 + 4*z - 9. Let b be p(2). Let w(x) = 0 + 9*x**2 - b*x + 31*x - 8. Is 12 a factor of w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.4843481 to 2 decimal places.\nAnswer: -121.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 10*q - 5. Let o be c(9). Let p(a) = -a**3 + 3*a**2 + 6*a - 6. What are the prime factors of p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*n + 3. Let o = -7.5 - -8.9. Let t = o + -1.4. Which is the closest to t? (a) -2 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 511871 and 6988?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 3, k: 2, t: 3, m: 10}. What is prob of sequence kpt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -73. Let b(p) = 0*p - p + 21 + f*p - p. Let h be b(-9). Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = 7*h - 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -14. What is the nearest to g in 2, -5, 3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = v + 5*m, -m + 27 = -4*v - v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0.4, -0.6041, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147*j**3 - 303*j**2 wrt j.\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/3, 0, 14, -82?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*u + 7 = 0, -10*k - 2*u = -7*k + 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 328709267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, m: 2}. What is prob of picking 1 m and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1654 = 17*f + 488. Is (-79894)\/(-6) - f\/(-189) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -19. Suppose 14 = 2*x + 4*v - 14, 0 = s*x - 4*v - 14. Suppose 5*d = -5*z + 315, -5*z + 2*d = x*d - 319. What are the prime factors of z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (68 + -31 - -3) + -31 + 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3648005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1304, 1306, 1308, 1310, 1312, 1314?\n\"Answer: 2*f + 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 5*s - 3. Let u be p(3). Let c(d) = -d - 2. Let l(j) = -2 + 20*j - 4 - 23*j. Determine u*l(r) - 8*c(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5 - 2.5. What is the second biggest value in -0.3, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0 (c) -5 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 50*d - 30*d - 41*d. Let s(y) = 6*y + 5. Let i(x) = x + 1. Let j(w) = -5*i(w) + s(w). Give h(j(p)).\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + sqrt(128)*2*5)**2 + (sqrt(300)\/(2*sqrt(6)))**2.\nAnswer: 31001\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1157, 2313, 3469?\nAnswer: 4625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 57?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*u + u - 60, -60 = -5*o - 5*u. Solve 0 = -2*p - p - w - 14, 5*p + o = 4*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 101475?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**3 - 4*t**2 - 4*t - 3. Let g be c(-1). Let i(r) = 4*r + 11. Let y(j) = 3*j + 10. Let q(o) = -4*i(o) + 5*y(o). Calculate q(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.509 and -2908?\nAnswer: -1480.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 + c**2)*(c - c + c**2) - 4*c**4 + 2*c**4 + 0*c**4.\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 13*p + 1. What is the smallest common multiple of 288 and b(1)?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 3*a - a + (-2 - 1 + 4)*(3*a - 4*a + 0*a))*(-12*a + 51*a + 26*a) in the form l + k*a**2 + q*a and give k.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-4 + 2 - 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 11 = 3*v, -5*x + 33 = -64*v + 68*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 30343 = -4*z + d, -5*d = 2*z - 15153. Suppose p - z = 1536. Round p to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3 + 2)\/(3\/(-174))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517.98 rounded to the nearest integer?\nAnswer: -518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 3*s - 5. What is v(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/17, -4, -5, 0.55 in increasing order.\nAnswer: -5, -4, 2\/17, 0.55, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 58?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*l)*(-1 + 2*l + 1) + (2 + 2 + 3*l - 8)*(-4 + 3 - 3*l + 3) to the form r + f*l**2 + s*l and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 58 = 3*p + 5*p - 12*p - p, 0 = -12*p + 120 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176400 and 1948800.\nAnswer: 40924800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 651854 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -126 (b) -1\/5 (c) -1.3 (d) 0.34 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 731067 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:58 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 2:32 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 + 10*y - 4. Does 3 divide w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z**2 + 18*z - 12. Let p(t) = 13*t**2 - 15*t + 10. Let o(d) = 6*p(d) + 5*w(d). Let h(y) = -4212*y**2. Calculate o(h(s)).\nAnswer: -35481888*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 497*x**2 - 4. Let n(u) = -4368*u. Give s(n(w)).\nAnswer: 9482473728*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*q**4 + 209*q**4 - 83*q**4 + 120*q**4)*(1 + 0 + 0) + (-5*q + 3*q + 4*q)*(4*q**3 - 3*q + 3*q).\nAnswer: 383*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/8)\/3*4\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -88*k + 7. Let y(s) = -25*s + 2. Let h(r) = -2*v(r) + 7*y(r). Let j(t) = -1405*t. Give h(j(u)).\nAnswer: -1405*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -57, 183, 477, 825, 1227?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 h when three letters picked without replacement from hjhhhjhhjh?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9 + 0*f + f**2 + 8*f + 0*f. Let m be p(-7). Let o = 1.9 - 5.9. Which is the third smallest value? (a) o (b) m (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-24))\/((-2625)\/(-175)*2\/24)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5212, -10355, -15498, -20641?\nAnswer: -25784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1430412 + -3?\nAnswer: -1430420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-552)\/966)\/((-45)\/70)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392243 and 36115?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:42 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9139 is divided by 294?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-35)*(-4)\/2\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 942.4 + -686. Let g = y + -296. Let d = g + 38. Which is greater: -0.2 or d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 52, -14, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -12 - (-6 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 206781370.\nAnswer: -82712548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1595*v + 169012 = -2001*v for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 - l**2 + 32)*(5 - 2*l**2 - 5) + 0*l**4 + l**4 - 5*l**4 as s + k*l**3 + b*l**4 + d*l**2 + r*l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13940048?\nAnswer: 2, 59, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 203 - 31?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 19\/3) + 12\/(-4)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14961295*x**4 + 48541730*x wrt x?\nAnswer: 179535540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -987 - -1692. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5 = 5*i, 3*b = 32*i - 37*i - 37 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 15*g + 73. What is the remainder when c(15) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d**(4\/11)\/d))**19 assuming d is positive.\nAnswer: d**(1387\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-4)\/8*4). Solve u = -3*c + 4 + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/5 + 28*y**3\/5 + 72*y**2\/5 + 68*y\/5 + 22\/5.\nAnswer: 2*(y + 1)**3*(y + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 m when three letters picked without replacement from mtqmtxqtqmqtttm?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + -2*(-1 + sqrt(75) + (sqrt(75) - (5*sqrt(75) + sqrt(75))) - (3 + sqrt(75)*4)) + 5)**2.\nAnswer: 2080*sqrt(3) + 19369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8 - -5)\/((-4)\/168) is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2 = 10*r, -9*w = -16*w + 3*r + 31 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 0*l**3 + 2*l**3 + (10 - 10 + 8*l)*(-335*l**2 - 270*l**2 + 712*l**2) + 3*l**3 - l**3 - 3*l**3.\nAnswer: 854*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:41 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130 greater than or equal to -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u - 3*u - 10*u + (-2 + 3 + 1)*(-5*u + 3*u + 3*u) to x*u + r and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1198 + 62*c + 64*c + 71 - 128*c as s + l*c and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 12*u + 2. Let f be a(12). Solve -f*y + 0*v - 2*v - 8 = 0, -5*y + v = -10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15 = 6*d. Solve -d = -k + 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -5*w**2\/2 + 7*w + 63. Let u be v(2). Let b(k) = 7*k - 2. Let i(c) = 13*c - 3. Let t(l) = 7*b(l) - 4*i(l). Determine t(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 2.8. Let s = 0.02 + -0.12. Which is the biggest value? (a) 5 (b) s (c) y (d) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*b - 23*b - 57 = 22. Put 0, -3, -21, 12, b in descending order.\nAnswer: 12, 0, b, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b + b - 45. Solve -b = w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 224\/2 - (-2 + 0). Suppose u = -2*u + n. List the prime factors of u.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 8*f**2 - 300*f + 102. Calculate b(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 5*t**2 + 2*t + 6. Let m be k(5). Let b(u) = -u**3 + 2*u**2 - u - 1. Let z be b(2). Let p = z + m. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/30 + o**4\/12 + 2*o**3\/3 + o**2\/2 - o. Let u(c) be the first derivative of y(c). Factor u(h).\nAnswer: -2*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 + 5*k**3 - 40*k**2 - k**3 + 28*k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let w(c) be the third derivative of 0 + 0*c**3 - 9*c**2 + 0*c + 3\/8*c**4. What is w(n(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(204) + sqrt(204))*6)\/sqrt(12))**2*6.\nAnswer: 14688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 + s + 40. Let m be t(5). Let g(r) = r**2 + 6*r + 6. Determine g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + h + 2. Let g(n) = -7 - 3*n + 16 + 19 - 7. Let a be g(7). Let s be a*4*(-3)\/(-12). Give y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-9))\/(28\/(-42))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Let l(t) be the third derivative of -13*t**5\/30 - 32*t**2. What is l(j(q))?\nAnswer: -26*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6408953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-639)\/6)\/(6\/(-8)). Suppose -4*l - 74 - o = 0. Is 12 a factor of (4\/2)\/((-4)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 76*q + 967. Give w(-60).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33592 times 42?\nAnswer: 1410864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*a - 6 - 14, 0 = 5*a + 2*c - 10. Solve 2*j = -5*l - 22, a*l + 2*l + 9 = -j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-17 + 9*x + 17)*(2 + 3 - 3)*(7 - 2*x + 13 + 0*x).\nAnswer: -72*x**2 + 720*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795663504.\nAnswer: 2, 3, 61, 239, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 58 - 28 - 30.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k - 2*a - 13 = 0, 4 = 4*a. Let b(g) be the first derivative of -2\/3*g + 0*g**2 + 3 + 2\/9*g**k. Determine p so that b(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*d + 375 + 5989, -3*d = -2*j - 9561. What are the prime factors of d?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -34*b**2 - b - 107. Let q(t) = -28*t**2 - 106. Give -5*g(i) + 6*q(i).\nAnswer: 2*i**2 + 5*i - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430691999 rounded to the nearest 100000?\nAnswer: 3430700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5322 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 20 = 7. Suppose -g + 3 = -7*h. Suppose h = z + z - 358. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (3*3*sqrt(80))\/sqrt(10))*5.\nAnswer: -180*sqrt(2) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*l, 68692*l = 4*r + 68693*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-2))\/(x*x\/x**(-1)*x))**(2\/49)\/((x**(-2\/11)\/(x**(-2\/15)*x*x))\/(x*x**6*x**(2\/3)\/x)) assuming x is positive.\nAnswer: x**(1438\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 4696 = 23*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 36*k + 35*k + 35 - 57*k. Let r be z(8). What is the highest common factor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 42*s**2 + 34*s - 1527. Give n(42).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001100110000 (base 2) to base 14.\nAnswer: 63a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**3 - 9*q**2 - 9*q. Suppose -3*c + 2*b = 29, -c - 8 = -2*b + 3*b. Let p(t) = 2*t**3 + 4*t**2 + 4*t. Calculate c*p(r) - 4*k(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-10)\/80*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*g = -2*o, 4*o + 20 = -4*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 2100\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0) + (-10)\/(-2). Suppose 0 = -10*a + 2*a - 0*a. Suppose 14 + 2 = -4*c. Sort f, a, c in ascending order.\nAnswer: c, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 w when four letters picked without replacement from {a: 4, w: 14}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 55338273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Let k = 5 - u. What is the nearest to -0.1 in k, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 17*n - 117. Suppose 500*g = 501*g - 13. Let z be h(g). What is the greatest common divisor of z and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -424*x. Let a(n) = 88*n + 137*n - 226*n. Calculate a(w(k)).\nAnswer: 424*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - ((134 - 146) + 4 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*a + 2*a. Let c(h) = h**2 + 36. What is c(a)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5, 0.3 in descending order.\nAnswer: 5, 2, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18a2 + -1?\nAnswer: -18a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -8.9929.\nAnswer: -9.0129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 - 70*v - 49. What is l(15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 534*n - 23 + 28 - 528*n to the form g + t*n and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 533086\/435 - 6128\/5. Let b = -100\/29 - x. Is b greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (6*(sqrt(126)\/sqrt(6))\/sqrt(3) + 5 + sqrt(7)*-1 + 1)**2.\nAnswer: 60*sqrt(7) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 813112 and 2680?\nAnswer: 4065560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8108?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*(u*u**(-2\/13))\/u*u**(2\/39) assuming u is positive.\nAnswer: u**(74\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*y + 9, 5513*t + 5*y - 5 = 5513*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7364.92 rounded to the nearest 100?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6537\/4 + -1622. Let u = w + -12. Which is smaller: -2\/9 or u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 46 = -2*r, -3*q + r + 29 = -q. Let g = q + -12. Solve 0 = 4*a - 3*d, g = -2*a + 4*d - 2*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 10 = 4*a, -n - 40 + 27 = 15*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.3076446 to 3 dps.\nAnswer: 23.308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 106132140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3079904982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*a)*(263*a**2 - 153*a**2 + 44 - 111*a**2).\nAnswer: -3*a**3 + 132*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-504)\/72*19\/(-2261)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*i - 4970 - 2511, 3005 = 2*p - 5*i. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3871623774?\nAnswer: 2, 3, 645270629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3345 + 3345 - 202*i)*(-2*i**2 + 0*i**2 + 0*i**2)*(2*i - 4*i - 2*i).\nAnswer: -1616*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 2:38 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s + 0 - 30*s**2 + 1\/60*s**5 - 1\/24*s**4 - 29\/6*s**3. Calculate z(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1814, 3630, 5446, 7262, 9078?\n\"Answer: 1816*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*u - 52*u - 12 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/197980 and -79\/1042.\nAnswer: 197980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((-24)\/48)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:12 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3142*q**2*z**2 + 29*q*z**2 + 32*q*z wrt q?\nAnswer: 6284*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)*d\/(d**6\/d))**(-6\/5)\/((d*d**5*d)\/(d\/d**2))**(-3\/4) assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*(-3)\/39.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-225)\/(-108))*(-3)\/(-2)*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - g - 41 = 4*t, 40*t - 37*t - 7 = 15*g + 131 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1475250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q**3 - 2*q)*(0*q + 5*q - 4*q) + q**4 + q**3 - q**3 - 1 + 1 - 2*q**4 - q**2 + q**4 + q**2 - 2*q**4 + 2*q - 2*q - 10*q + 2*q**4 + 10*q.\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/504*21*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3718 is divided by 383?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 divided by 3.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 251136984 divided by 3\nAnswer: 83712328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -7. What is the remainder when 11 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*x - 110 = 0, -t + 5*x + 2 + 28 = 0. Let b be (-4)\/t + 32\/10. Suppose b - 16 = -p - 2*g, p = -g + 10. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = 5 + 40 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -50, -35, -18, 1, 22?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*((u*u**(-8\/5)*u)\/u)\/u))\/(u*(u\/u**(2\/7))\/u))\/(u\/u**(-4)*u\/(u\/(u*u**(-2\/19)*u))) assuming u is positive.\nAnswer: u**(-3996\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let p(q) = 3*q - 5. Let k(n) = n + 1. Let v(z) = 2*z. Let i(c) = -6*k(c) + 5*v(c). Let l(r) = -5*i(r) + 6*p(r). What is x(l(u))?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.138416 and -0.2.\nAnswer: -0.061584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773a (base 12) in base 9?\nAnswer: -51431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -229 - -234. Let x be ((-2)\/4)\/(-1)*-6. Put x, a, -1 in decreasing order.\nAnswer: a, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-2)\/3*3. Solve 3*d - 1 = u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -6. Let u(m) = -m**3 + 6*m**2 + 3*m - 8. Let s be u(5). What is the highest common divisor of d and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132303?\nAnswer: 3, 44101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15155 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940 a factor of 789738040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-9)*w*w)\/(w*w**(-3\/10)\/w))\/((((w*w\/(w**14*w))\/w)\/w)\/w**11) assuming w is positive.\nAnswer: w**(383\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) -3 (c) -0.04 (d) 272 (e) -4 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0129 to 2 dps.\nAnswer: -2.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-24)\/10 - -3)*10\/3. Suppose -179*c**2 + 177*c**2 - c + p*c**3 + 8 - 7*c = 0. What is c?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17729*y - 16523?\nAnswer: -17729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -4, 0.02, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 8*s**2 - 13*s - 6.\nAnswer: -(s + 1)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1105, -1107, -1111, -1117, -1125, -1135?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-9))\/(1\/(-9)). Let s = r + -14. Suppose -38*g + 34*g = -172. What is the remainder when g is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - o**2 - o - 1. Let p(v) = -3*v**3 + 7*v**2 + 7. Let s(w) = 2*m(w) + p(w). Let t be -7*1*(-4)\/(-6)*621\/(-966). What is s(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43451 times -5.4\nAnswer: 234635.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jccccjcccccjcccccj. Give prob of picking 1 j and 2 c.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 84 = 2*u - 4*v, -3*u = -v - 147. Suppose 0*g - 3*g + 936 = 0. What is the highest common factor of u and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**5 - 1375*q**4 - 4155*q**3 - 4165*q**2 - 1390*q.\nAnswer: 5*q*(q - 278)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690693 divided by 4919?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8563?\nAnswer: 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l. Let s(o) = -117*o - 2. What is p(s(m))?\nAnswer: -585*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 - 66*c - 173. Let b(q) = 2*q**2 + 33*q + 80. Give -7*b(o) - 3*m(o).\nAnswer: o**2 - 33*o - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2236 and -19\/5668?\nAnswer: 243724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-59)\/(-236) + (-42)\/8. Let s = -1 + 1. What is the fourth smallest value in -9, s, -0.4, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5516 and 1308868.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**27*w**8*w**11*w*w*w*w**(-24)*w*w*w assuming w is positive.\nAnswer: w**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -22*i + 9. Let l be d(-10). Let x = l - 152. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i - 6. Suppose -2*a + 10 = 12. Let g be x(a). Suppose g*m - 49 = -4*m. What is the remainder when 54 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 11:34 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/6 + i**2 + 5*i\/2 + 4\/3 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 364 - 2544\/7. Factor 6\/7*a - l - 2\/7*a**2.\nAnswer: -2*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5337910 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1759, 24, 2, 26.\nAnswer: 2, 24, 26, 1759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4 + 1. Suppose -5*q - 6*p + b*p + 335 = 0, 2*q - 134 = -p. What is the remainder when q is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 327.2 (b) -7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(152)\/(sqrt(8) + sqrt(16)\/sqrt(2)) + -5 + -1*sqrt(19) + 3).\nAnswer: -3*sqrt(19)\/2 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -332699897, -332699891, -332699873, -332699837, -332699777, -332699687, -332699561?\n\"Answer: i**3 - i - 332699897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10239952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 48 (b) 1 (c) -1\/8 (d) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176536135 and 610.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 348531389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31643039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29275, -29917, -30993, -32509, -34471, -36885, -39757, -43093?\n\"Answer: -g**3 - 211*g**2 - 2*g - 29061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3 = m - 5*m, 7*h - 6*m - 4*m + 6*m = -65 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 100\/893 (b) -2495 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 527 + -2636\/5. Let g = 0.3 + -0.2. Put 1\/3, k, g in descending order.\nAnswer: 1\/3, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -19, -2, -59, -4, -1, 32 in decreasing order.\nAnswer: 32, 5, -1, -2, -4, -19, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 19 = 2*g, -3*x + 2 = -5*g + 3. Suppose -g*f + 4*f = 388. Let c = 445 - f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21220 - -45?\nAnswer: -21142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16269 times 4025?\nAnswer: 65482725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 - h - 40. Let s be a(7). Let g(r) be the second derivative of -3*r - 1\/3*r**4 + 0*r**3 + 0*r**s + 0. Suppose g(q) = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 577916621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4538376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -455 and -50.07.\nAnswer: 22781.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v - 2 - 7*v**3 - 8*v + 10*v**3 + 6*v to w*v**2 + x + d*v**3 + b*v and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 8*v - 10. Let o be j(-9). Let p be o + 2 + -7 - -2. Is (678\/p)\/(1\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 5*j**2 - 4*j + 5. Let x be n(-4). Suppose t = -0*t - x. Let g = 11 + t. Solve -4*h = -g*h + 5*s + 5, 0 = -3*s + 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44263 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2497*a - 2497*a - 4*a**2 + 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(12\/2)*-14*4\/84?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsg when three letters picked without replacement from {g: 1, y: 2, c: 2, v: 1, s: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3864, 2\/95, -1?\nAnswer: -3864","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2 - 0. What are the prime factors of -15*(1\/(-3))\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-6)\/2)\/(129\/(-301))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/7 - 568*g**4\/7 - 36584*g**3\/7 + 80192*g**2 + 2666368*g\/7 + 2803712\/7 = 0.\nAnswer: -148, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*g = 84*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 17*n**2 + 17*n + 20. What is h(16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/(-88)*(-8)\/(-9). Which is the smallest value? (a) -1\/2 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542 = -144*b + 1806 - 6880 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96597 is divided by 184.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p = 731*p + 330*p + 19638 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/35*55\/33.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/35)\/((-2)\/(-5)). Let n be 2 + f - (-2449107)\/(-3). Let b = 1496365 + n. What is b rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5479.848 - 9.848. Let j = n + -5753.1. Round j to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*h = 726, 5*k + 4*h + 519 = 1426. Let o be 3\/(3*4) + k\/(-12). Calculate the remainder when 5 is divided by ((-12)\/o)\/((-4)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 9:52 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 + 30. Let i = -52.01 - m. Which is the third biggest value? (a) 6 (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.2 + -37. Let r = -0.7 + t. Which is the nearest to -0.3? (a) -5 (b) -1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 36, 93, 204, 387, 660, 1041?\nAnswer: 1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14163670.\nAnswer: 2, 5, 409, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 178268 in -1, 0, 0.05, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 2549528?\nAnswer: 17846696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.7 - -4. Let n be (6\/4)\/(2\/(-2)). Let s = 27157\/72 + -3398\/9. Put z, s, n in descending order.\nAnswer: z, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -71*o**6\/15 - o**4\/6 - 79*o**2 - 55*o + 3. Differentiate w(h) wrt h.\nAnswer: -568*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1052 and 1.1.\nAnswer: 1157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/4 - 15*a**3\/4 + 132*a**2 = 0 for a.\nAnswer: -16, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0075768 * -11.\nAnswer: -0.0833448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 76 = 2*l, -4*i - 3*l + 109 = -8*l. Suppose 4*k = -5*s + i + 93, -5*s + 116 = k. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*u - 2*p - 4, -p + 28 = 5*u. Suppose u*v - 3*w - 50674 = 0, -4*v = 2*w + w - 40523. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -658.\nAnswer: -658.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 5 = -19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 16 + 48 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z**2 + 6498*z - 1624 = 0 for z.\nAnswer: 1\/4, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r - 5*r + r)*(-4*r**3 - r**3 + 3*r**3) + 9*r**4 - 7*r**4 + 12*r**4.\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.42? (a) 762.5 (b) 0.2 (c) 0.1 (d) 4\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 2 + 2 + (-3 + 1 + 3)*(2*l + 2*l - 2*l) - 47*l - 25 + 25 + 0*l + 5*l - 2*l + (3*l - l + 0*l)*(-4 + 1 + 2) + 5*l - 5*l + 2*l as o*l + b and give o.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-16 + (27 - 18) - (0 - -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1195*s**2 + 4*s + 0*s - 2*s - 2 - 9503*s**2 as w + b*s**2 + y*s and give b.\nAnswer: -8308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*i + 1068, 0 = 121*q - 120*q - 3*i - 334. Let m = 0 - -2. Suppose v - 4*a - 184 = a, m*v - 2*a - q = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6920*n - 34592. Give b(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 27*p - 31. Suppose -2*m = -2*a + 42, 0 = 3*a + 2*a. Let f be u(m). Let d = -110 - f. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a + 165*a**3 - 16*a - 46*a**3 + 6*a wrt a.\nAnswer: 714*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 64896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 5:15 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 1. Suppose 19 = 4*h - 3*h. Suppose 1 + h = 5*o. Suppose 0 = 4*i + o*j - 4, -2*i + 3*j - 3 = -20. Determine k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/9 + 100*i**3\/9 - 424*i**2\/9 + 48*i.\nAnswer: 2*i*(i - 2)**2*(i + 54)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003597 to five decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-90)\/(-1) - (-5 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -1\/24*f**4 + 0 + 0*f + 0*f**3 + 7*f**2. Let u(k) = -2*k - 2 + 2. Calculate u(h(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1025867 to four dps.\nAnswer: 0.1026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b - 1. Let n(z) = -4*z**2 - 11*z - 13. Let v(f) = -n(f) + 5*x(f). Determine v(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(40)\/sqrt(4))*-4 + (sqrt(250) - 2*sqrt(250)))\/(sqrt(10)\/(sqrt(2)*-5*-4)).\nAnswer: -100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + b - 3 = 0, 2*f = -2*f + 4*b. Let z be ((-3)\/f)\/(7\/(-14)). Let o = -6 - -4. Is o less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 7:57 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 349077 to the power of 1\/2, to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 3*j + 3*j)*(3*j**2 + 0*j + 6*j - 7*j).\nAnswer: 3*j**5 - j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6408*l**2 - 869*l + 190.\nAnswer: 12816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/27 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4.2. Let i = 110 + -772\/7. Let d be ((-1)\/4)\/(10\/16). Sort d, f, i in ascending order.\nAnswer: d, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/4 - 1473*w**3\/4 + 134310*w**2 + 958300*w.\nAnswer: w*(w - 740)**2*(w + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(1*(-6)\/90).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 843, 1759, 2675?\nAnswer: 3591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 10*r + 9. Let s be y(-6). Let q = 53 + s. Solve j + 13 = q*i, -2*i = -5*j + j - 22 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b6816 - -3?\nAnswer: 17b6819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -78. Let j = b + -19. Suppose 19 - 20 = s, -4*u + 7*s + 23 = 0. Calculate the highest common divisor of j and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/4 + 4777*k**3\/2 - 22829281*k**2\/4 + 11407476*k - 5702544 = 0. What is k?\nAnswer: 1, 4776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 11*j + 4. Let o be t(-9). Let g = 13 + o. Let d = 3375\/14 + -241. Is d < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 6*u**2 - 10*u + 7. Let i(a) = a**3 + 5*a**2 + 9*a - 7. Let l(o) = 3*i(o) + 2*n(o). Calculate l(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 15*v + 21. What is the lowest common multiple of l(-4) and 49?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18722723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 4:35 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2832 = 4*d + 8*d. Is 0 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 19*i - 31. Calculate a(-20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 53 = -x, x - 4*u - 12 = 14. What is the common denominator of 694\/168 + 4\/14 and (x\/10)\/(4\/10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 - -213. What is the remainder when b is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 6*m = 12. Suppose 3*f + 2*h - 47 = h, m*f - 61 = -h. Find the first derivative of 34 - 2*j**4 - 27 + f wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 = -4*u, 0 = 4*u - 3*k + 6*k - 12. What is the common denominator of (u - (-29)\/(-6))\/3 and -91\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, 1, -0.4, 27, 13, -0.5 in increasing order.\nAnswer: -147, -0.5, -0.4, 1, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 0.01, -0.4, -22, -19\/3.\nAnswer: -22, -19\/3, -0.4, -0.03, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 - (-23)\/(-20). Let o = -17 - -22. Let y be o\/(-20) + (-1)\/28. Sort y, h, 0.3 in decreasing order.\nAnswer: 0.3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78976*r + 27246*r + 2468 - 2470.\nAnswer: -51730*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 minus -228.11?\nAnswer: 462.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p**3 - 22*p**2 + 496*p**4 + 18*p**2 - 498*p**4 in the form r + n*p + c*p**3 + l*p**4 + x*p**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3778543 + -2418543. Round j to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhrhrsshhtstrhh. What is prob of picking 1 s and 1 h?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, z: 6, p: 6}. What is prob of sequence pq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1024*m + 2582*m - 755*m as y*m + h and give y.\nAnswer: 2851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 7, 0.13, -0.4, -0.7?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(165))\/sqrt(5))\/((2*sqrt(132))\/sqrt(12)) + (sqrt(3) + sqrt(108) + sqrt(27) - (sqrt(3)*4*-4 - sqrt(3))**2))*4.\nAnswer: -3468 + 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9058 + -8786. What is the greatest common factor of a and 4488?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -6. Suppose 0 = -5*x + 3 + 12. Suppose -2*y - x = -1. Which is the closest to y? (a) -4 (b) 0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.4, -2\/25, -9, -1\/6 in ascending order.\nAnswer: -9, -0.3, -1\/6, -2\/25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69 (base 14) to base 7.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738742.9ml to litres.\nAnswer: 738.7429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/21)\/(1*-4). Is 0 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24298\/9 + -2704. Calculate the common denominator of 4\/3 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 73186232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 19*b**2 - 10*b - 1. Let a be i(10). Let r(p) = -5*p**3 + p**2 - p - 1. Let t be r(a). Let d be -4 - (-9 - 0) - t. Are 2\/121 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -3\/2*i**4 - 3 - i + 0*i**2 + 1\/3*i**3. Let q be (-29)\/((-2436)\/(-72)) + (-1)\/7. Determine n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -20\/463, -1538 in descending order.\nAnswer: 5\/2, -20\/463, -1538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -1 + 4 + 1. Let u(f) be the first derivative of f + 5\/3*f**3 - 72 - f**2. Give u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -23 + -1 - (3 - 38)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 7*t**2 + 4*t - 6. Determine a(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -17*o**3 - 9*o**2 + 4*o + 24. Let b(w) = -8*w**3 - 4*w**2 + 2*w + 12. Give 13*b(h) - 6*s(h).\nAnswer: -2*h**3 + 2*h**2 + 2*h + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -613 + -630053?\nAnswer: -630666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -36*v**2. Let j(s) be the second derivative of s**3\/3 - 8*s. Give j(n(w)).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - w**2 + w - 1 - 2 - w. Let z be d(-2). Suppose 3*b = -3*r - 15, -b - 6 = 3*r + 5. Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -213 (b) 1\/26 (c) 6 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -49, 6, -3, -10, 4 in increasing order.\nAnswer: -49, -10, -3, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/6 - 515*b\/6.\nAnswer: -5*b*(b + 103)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 457100 + -184293. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*k**3 + 42*k**2 - 96?\nAnswer: 33*k**2 + 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/22 and 31\/139706?\nAnswer: 1536766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/11 (b) 0.3 (c) -0.08 (d) 51 (e) 5 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 776, 1, -0.0608 in decreasing order.\nAnswer: 776, 1, -0.0608, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3877 + 9546. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.595192 to 3 decimal places.\nAnswer: 3.595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -195886546 divided by -977\nAnswer: 200498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 16. Let k(m) = -9*m**2 + 6*m**2 + 0*m**u. Let p(y) = -y**2 + 4*y**2 + 0*y**2. Calculate p(k(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**20*d\/d**0*(d**(-1\/6)\/d)**(-35))**(-8) assuming d is positive.\nAnswer: d**(-1484\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let w(b) be the second derivative of 41*b**4\/2 - b**2\/2 - 206*b. Determine a(w(j)).\nAnswer: 246*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 10 = 3*m, 0*d - 19 = -4*m + 3*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9071 and 5875.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 k when four letters picked without replacement from {d: 3, k: 12}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 4. Suppose 4*h = 3*o - 20, 3*h + o + 5 = 2*h. Let w be y(h). Is 8 a factor of (4\/(-6))\/((-1)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27976?\nAnswer: 2, 13, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*c + 251*c + 586 = 424*c + 3252 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 24*m**2 + 11*m + 6. Let u be t(8). Suppose -2*o + u = -456. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 36 = -3*o + 6, -5*o - 3*u = 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 6*t**2 + 6*t - 7. Let s be z(5). Let g be (22\/11)\/(s\/(-5)). Let q = g - -11. Calculate the remainder when 63 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 451 (c) 3 (d) 3165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**3 - 21945*f**2 + 87840*f - 87860 = 0.\nAnswer: -4393, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -501517 = -501515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 275027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three quarters of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2178) - (sqrt(2178) - (sqrt(2178) + 0))) + 0 - (sqrt(2178) + (1*(sqrt(2178) + 1) - sqrt(2178))))**2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 3444?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1438*j + 616*j - 4*y + 4110, 2*j = -5*y + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 2078225000 rounded to the nearest one million?\nAnswer: 2078000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen fifths of a microsecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 21 = -5*d, 3*h = 2*h - 5*d + 13. Is 1059\/15 - -1*h\/(-5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, y: 3, a: 2}. What is prob of sequence vaay?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 101242944 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 6*k**2 + 11*k - 6. Let h be p(4). Let q = h - 2. Solve q*c - 2*c + 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0)\/(-2) - -218. Let n be 2928\/42 - (0 + 8\/(-28)). Let f be (2\/4)\/(u\/n + -3). Solve g - 5*r + 3 = -16, 26 = -f*g + 2*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 8, -19 = -3*s - 4*r - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8648172413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 132 = 5*p + 38*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4)*28\/(-6). Let d(p) = p**2 - 6*p - 12. Let l be d(-2). Suppose -2*q + z = -359, -l*q + 2*z + 725 = t*z. Is 40 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 43 - 163. Solve 13*q = 7*q - x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 3*v**2 - 7*v + 2. What is i(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -w + 16128. Let x = 4165 - w. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390422*h + 23 + 195139*h + 195285*h.\nAnswer: 2*h + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {k: 5, i: 1, o: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11209*u + 11219*u - 80. Solve 0 = -467*y + 469*y + u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + w**3 + 4*w**2 + 0*w + 2*w**2 + 4 + 4*w. Let j be o(-3). Solve -4*y = -2 - j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -711.337 and 208.74596.\nAnswer: -502.59104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 - 34*d**2 + 14*d**2 + 265 + 33*d - 34*d + 18*d**2 + 5*d**4 to o*d**3 + n*d**4 + z + j*d + t*d**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -17 in descending order.\nAnswer: -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4681820*l - 3768121?\nAnswer: 4681820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**3 - 3*d**2 - 2*d. Let h be p(-1). Let w(f) = 3*f - 5. Let g be w(6). Let c = g - h. Solve 4*q = -c - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360597 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14598 = -36*i - 13842 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a - 3 = 0. Let x = -8 - -16. Let w = -12 + x. Put a, w, 1 in decreasing order.\nAnswer: a, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2144, 2204, 2370, 2696, 3236, 4044, 5174?\nAnswer: 6680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 4. Suppose -14 + 2 = 4*a. Let l be a*(0 + 4\/(-3)). Calculate c(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40038, 160132, 360288, 640506?\nAnswer: 1000786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 0 (c) 21.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z - z + (2*z + z - 5*z)*(0 - 1 + 0) + 3*z + 0*z - z + (z + 1 - 1)*(-1 - 1 + 3))*(z**2 + 0*z**2 + 7*z**2).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + ((-692)\/140 + 5)*-73)*(-540)\/(-432)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*o + 2*l - 4, 11 = -2*o + 3*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrw. What is prob of sequence rr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 3. Let h be x(3). Let q be 21\/(-15) + (-2)\/(-5) - -1. Calculate the remainder when 96 is divided by (q - h) + -2*(-75)\/6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) -57 (c) -1\/5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 87, 193, 351, 567, 847, 1197, 1623?\n\"Answer: j**3 + 17*j**2 + 2*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3827 divided by -56?\nAnswer: -3827\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8*w + 2*x = -18, -x = 2*w. Let c = 8 + -5. Let h = 0 + c. Are w and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9291883031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g - 4*g)*(4 - 1 - 5).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-4) - 2\/(-4). Let n(w) = 43*w + 1. Let s be n(2). Suppose -u + 5*t + o = 0, -6*t + t = 3*u - s. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 452, -5, 6, -43 in increasing order.\nAnswer: -43, -5, 4, 5, 6, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*i + 179*i + 1 + 22*i)*(-i**2 - i + i).\nAnswer: -150*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -6 - (1 + 0). Suppose 0 = -k + m + 3, 0*k + 5*m + 12 = j*k. Which is greater: k or -10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22948, 23290, 23634, 23980, 24328, 24678, 25030?\n\"Answer: z**2 + 339*z + 22608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-55)\/7 + 2\/(-14). Let z(b) = -b**3 - 9*b**2 - 7*b + 8. Let n be z(q). Suppose 6 = 2*g - n*g. Solve 5*o = g*l - 12, -4*o - 16 = -7*l + 3*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102145401 to the nearest integer?\nAnswer: 10107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-108)\/180 - 6\/15. Let j(r) = -3*r**3 + 2*r**2 - r - 2. What is j(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 6, c: 1, l: 2}. Give prob of sequence ckk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 19*w**2 - 15*w + 17. Let r(m) = -5*m**3 + 95*m**2 + 85*m - 84. Let f(n) = 16*o(n) + 3*r(n). Determine f(18).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 2)*(-260)\/(-7150).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q - 1815. Let o(w) = -668*w. Determine o(a(m)).\nAnswer: -4676*m + 1212420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.2 - 34. Let q = j - 49.2. Let k = 51.999876 + q. What is k rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 4*n + 2. Let o be l(4). Let b(s) = -2*s**2 + 16*s - 8. Let k be b(7). Suppose -d + k = o. Solve 0*r + d = 5*r + 4*x, -3*r - x = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 25*t**5\/4 + 7*t**4\/12 + 635*t**3\/3 - 1329*t. Find the second derivative of l(v) wrt v.\nAnswer: 750*v + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 at most 1372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*g + 101390 - 18058 = 0 for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 17*c + 8. Let r be b(-8). What is the second smallest value in -2, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373682 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5\/2)\/(w*(w*w**(1\/10))\/w*w)*w**9*w**(8\/7)*w assuming w is positive.\nAnswer: w**(229\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11444.14892 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 50653 (c) -2\/419\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25490*m - 25511*m = -525 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66853658 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3971*b*i - 384704*b - 43*i**2 wrt i.\nAnswer: -3971*b - 86*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 12 = 0. Suppose 5*x - 31 = -6. Suppose x*q**z - 10*q + 7*q**3 - q**4 + 2*q**4 + 4 - 10*q**2 + 3*q**3 = 0. Calculate q.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111212120200 (base 3) to base 11.\nAnswer: 177185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1d4?\nAnswer: -1d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 648332 divided by -162083.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 38*h + 232. Let c be t(-5). What is the common denominator of (-257)\/c - 60\/(-210) and -93\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/14)\/(3\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51\/12 + 4\/(-16). Let f(a) = a - 2*a - 5 - 4*a - w*a**2. Let j(x) = 19*x**2 + 7*x + 6 - x - 14*x**2. Give -4*f(h) - 3*j(h).\nAnswer: h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 + 5 = 0. Let b = x - -8. Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 5. Let j be r(0). Let i(v) = v**2 + 3*v - 2. Let n be i(j). Solve -g = 3*k + k - n, -5*k + 10 = g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-220522.5.\nAnswer: -22052.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, b: 4, z: 6}. What is prob of picking 1 b and 1 y?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 10144537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 771233 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1346146042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2402 is divided by 595?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/286 and 73\/286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14338427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r + 14*r + 6*r + (-1 + 0 + 0)*(-2*r + 3*r - 2*r) + 0*r + 2*r - 3*r + (6 - 6 + r)*(-2 + 3 + 1) - 3*r + r + r to v + o*r and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196 - 116. Let g = -88.6 + p. What is g rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/(-30))\/(8\/18). Suppose 0 = 10*r - j*r - 126. Calculate the remainder when r is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 2:11 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*f = -3, 82*z - 79*z = -f - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c + 2*c + 12*c**4 + c + c**4 wrt c?\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4379*j*w**5 + 7*j*w**3 - 134250*j*w - 5*w wrt w.\nAnswer: -87580*j*w**3 + 42*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 2, 33?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 33, 1\/10, 0.12, -2\/5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 - 2*h**3 - 11*h**2 - 2*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 9. Let j be m(18). Let n = 27 - j. Solve -15 = -3*a - n*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/8 + 1)*4\/(-6). Let f(a) be the second derivative of a + 0 + 0*a**2 + k*a**3 + 1\/12*a**4. Factor f(d).\nAnswer: d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.01784.\nAnswer: -0.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.77421 and -171.\nAnswer: -171.77421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u + 7*u + 8*u + 53896*u**2 - u**3 - 26985*u**2 - 26911*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1116550814?\nAnswer: 2, 43, 349, 37201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -503 and 529.\nAnswer: -266087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 71*a - 146*a + 76*a + 5*a**3.\nAnswer: 6*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2963 - -8860\/3. Which is smaller: 33 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1575.\nAnswer: -7875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -361\/6786 - -1\/522. Which is the fourth biggest value? (a) u (b) -5 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let q(g) = 6*g**2 - 5. Let k = -38 - -20. Let b(u) = -21*u**2 + 18. Let h(d) = k*q(d) - 5*b(d). Determine n(h(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.85 in -3, -15, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33136, 0, -19\/7, -1, 0.5, -2\/3?\nAnswer: -33136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, -2\/5, 2\/5, -4, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18443 times 0.1\nAnswer: 1844.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 970 and 30.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**22\/(n**(-4\/3)\/n)*(n**(-17)*n)\/n*n**(-18))**(-1\/23) assuming n is positive.\nAnswer: n**(32\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/33 (b) 1\/2 (c) 0.56 (d) 5\/4 (e) -6 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -20*c**3 - 4*c**2 - 2*c. Let p(d) = 60*d**3 + 13*d**2 + 7*d. Suppose 5*a - 28 = -4*n, 0 = -6*n + 8*n - a - 14. Calculate n*h(g) + 2*p(g).\nAnswer: -20*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*a**3 - 1254*a + a**4 + 1254*a + (-3*a**2 + 3*a**2 - 2*a**3)*(-2 + 2 - 2*a) in the form i*a + r*a**4 + k*a**2 + v*a**3 + q and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -267475\/16 - -16706. Let m = 162417\/14512 + c. Let o = -33479\/18140 - m. Calculate the common denominator of -45\/2 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**3 + 6*t**2 + 6*t - 75. Let p(s) = -3*s**3 - 5*s**2 - 5*s + 73. Give 5*h(r) + 6*p(r).\nAnswer: -3*r**3 + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 8*g + 0*g)*(-g**3 - g**4 + g**3).\nAnswer: 8*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eessdd. What is prob of sequence sdes?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 250427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*(11 + 1). Calculate the greatest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 153*k - 807. Give f(9).\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45002*g*x**4 - 388*g*x**2 + 41*x**2 wrt x?\nAnswer: 1080048*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101331304 (base 5) to base 6\nAnswer: -12541452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v - 5*q - 18 = 0, 0 = 4*v + 2*q + 18. Let m be (1\/v)\/((-2)\/30). Solve -m*r = 4 + 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -2560863452.\nAnswer: -2560863448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-3.69.\nAnswer: -11.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 - 50*a**2 - 140*a - 120 = 0 for a.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 12:57 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 12872. Let o = 373285\/116 - m. Let u = o + 259\/1044. What is the third biggest value in 0, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1061 - 0.132. Round o to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (64 + -66 + -49).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 2*t**3 - 2*t)*(16*t - 480 - 62*t + 479) in the form v*t**3 + p + i*t**2 + m*t + l*t**4 and give l.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537831.\nAnswer: 3, 7, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsppigqjgpjjspj. What is prob of sequence jgq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t**6 + 231*t**3 - 9513*t**2.\nAnswer: -600*t**3 + 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95630 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3\/2 - 15*j**2\/2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 153, 176, 219, 288, 389, 528?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 917437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*x**2 + 7*x + 40*x - 127*x + 52*x in the form z + y*x + v*x**2 and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44638 - 19747. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236.5 + 14.5. Let p = -221.99999434 - l. Round p to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 10 + 4*n - 6*n.\nAnswer: -2*n - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 - (4\/(-2) - -2). Suppose q - z - 47 = -4*q, 2*q - 35 = -5*z. Let m = p - q. Solve m = -2*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4388998.\nAnswer: 2, 23, 95413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8443600.\nAnswer: 2, 5, 11, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (2 + -5 - -5 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -5.5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1553, 3165, 4741, 6281?\nAnswer: 7785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**8\/84 - q**5\/60 - 3*q**2\/2 - 4*q. Let x(s) be the first derivative of h(s). Find the third derivative of x(a) wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -3. Let h be (-8)\/(-42)*(-91)\/78. Which is the biggest value? (a) -0.3 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0404089 litres?\nAnswer: 40.4089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 101?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*(-60)\/1110 + (0 - 29).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62510228.\nAnswer: 2, 11, 19, 23, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*c = 4*l + 4, 0 = -l - c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 12. Suppose -2*t = -2*s - 46, 3*t + 2*s - v = -3*s. Calculate the least common multiple of 22 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 46*f**3 - 411*f**2 - 33*f + 53. Give g(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17765.\nAnswer: 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7)*b)\/(b*b*b*b\/(b\/((b\/b**(-6\/11))\/b*b))*b*b*b)*b**(-1)\/(b\/b**(-2\/3)) assuming b is positive.\nAnswer: b**(-535\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(3\/4)*u**(-2\/33))\/(u\/(u*u**(-6))*u**(-3)))\/(u**(-10)*u\/((u\/u**(-7)*u*u)\/u))**(42\/5) assuming u is positive.\nAnswer: u**(98267\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o**3 - 2*o**2 + 0*o + 0 + 1\/8*o**4. Let z(n) = -7*n**2 - n**2 + 131 - 131. Determine x(z(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218 times 311121?\nAnswer: -67824.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:28 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 8:32 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -473, -384 in increasing order.\nAnswer: -473, -384, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55513, -55514, -55515, -55516, -55517?\n\"Answer: -z - 55512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 12. Let o(m) = 82*m. Determine o(c(q)).\nAnswer: 246*q - 984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15286*w + 54264 = -15742*w for w.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*g + 11184 + 22153 = 0, 2*g + 133338 = 4*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5062 = -29*n + 2449. Calculate the remainder when n is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 8:49 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-569 - 22*f + 569)*(10 - 30 - 10) + 0*f + f + 0*f + (5*f + f - 4*f)*(-3 - 4 + 5).\nAnswer: 657*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -509?\nAnswer: -40.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417 + -2083\/5. What is t in 2\/5*t**2 - p*t + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 1676?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -3)*4 - 4. Let x = -7 + t. Suppose -f = -q + x, 0 = 4*q + 2*f - 0*f - 16. Solve 5*s - 3 = -q*b + 5, s = b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 50*r**3 - 100*r**3 + 56*r**3 - 9.\nAnswer: 6*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11133221303 (base 4) to base 16.\nAnswer: -15fa73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 909.9842l?\nAnswer: 909984.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -150*h. Let m(o) = 4*o - 25. What is x(m(v))?\nAnswer: -600*v + 3750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2 - 2147*v + 1069*v + 1073*v + 9. What is q(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (716 - 646 - 1904)*(2 - 2 - i) to g + a*i and give a.\nAnswer: 1834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 44*h - 13. Let j(q) = 2*q**2 + 19*q - 58. Let r(l) = l**2 + 9*l - 32. Let u(z) = 6*j(z) - 11*r(z). What is 2*b(k) + 7*u(k)?\nAnswer: k**2 + 17*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4564\/(-24)*(-6 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 25 + 2 = 0. Let v = -1 + h. Calculate the smallest common multiple of v and 2\/(4\/(-14)*-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*961.\nAnswer: 768.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -124041 divided by 127?\nAnswer: -124041\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 43. Let r(h) = 4*h + 85. Let o(c) = 5*l(c) - 2*r(c). What is the hundreds digit of o(39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -d + 24 + 4, -2*k = -2*d + 72. Suppose 3*b - 6*b + 81 = 2*y, b - d = -5*y. What is the third derivative of b*a**3 - 69 + 69 - a**2 wrt a?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q + 28 = -11*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -2 + -3 + 1. Suppose q - 418 = -3*u, h*u + 5*q - 554 = 2*q. What is u rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**0*w))\/w**(-2\/29)*w**(-4\/11)*w**16 assuming w is positive.\nAnswer: w**(5010\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 + 3) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -139057?\nAnswer: 139056.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3055, -3119, -3183, -3247, -3311?\n\"Answer: -64*k - 2991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87354, 174708, 262060, 349410, 436758, 524104, 611448?\nAnswer: 698790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-49) - 12317\/(-63). Let n = 195 - m. Which is the closest to -2? (a) -4 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1841?\nAnswer: 184.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.180555l to millilitres.\nAnswer: 9180.555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 74 + 34 + 40.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.78 - -1.2. Let n = g + -39.42. Let v = n - -40. Which is the closest to 0.2? (a) -2\/7 (b) -1\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 238*d**2 + 14 + d - 307*d**2.\nAnswer: -545*d**2 + d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594117223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -6436?\nAnswer: -6436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**3 + 7096*u**2 + 640516*u + 14844480 = 0. Calculate u.\nAnswer: -1680, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*u + 28, u = -3*u + 4*v - 8. Let r(q) = -q**3 - 4*q**2 + 5*q + 5. Let m be r(u). Find the third derivative of 7*l**2 - 4*l**2 - l**m + l**2 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o - 234. Let h be t(-30). Let l(s) = h*s + 7*s - 38*s + 12*s. Let f(p) = -33*p**2. Determine l(f(i)).\nAnswer: 429*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -722.107 + -0.893. Let f = n - -722.9699. Let k = f - -0.03010383. What is k rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20832)\/(-72))\/31*(-3)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 + 48*i**2 - 194*i - 1. Determine d(3).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -673*s + 130*s**2 - 511*s + 2395*s + 199*s**2 wrt s?\nAnswer: 658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/5265 and -67\/5700.\nAnswer: 2000700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3\/10 (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/70)\/(1\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 801, -1 in descending order.\nAnswer: 801, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2623*b + 23409. Determine c(-9).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 11:33 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205511 - 36953 = 6*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1219*g + 5 = 1223*g - y, -7 = g - 3*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(-2\/55)*d\/(d\/(d**(14\/3)\/d))*d**(5\/7)*d**35*d assuming d is positive.\nAnswer: d**(48908\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31485?\nAnswer: 3, 5, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*l**2 - 3*l + 15 wrt l?\nAnswer: 214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 582 - 576. Suppose 3*f + d - 5 = 5*f, 2*f = -2*d - 20. Let s(q) = -4*q**3 + 10*q**2. Let x(u) = -3*u**3 + 9*u**2. Give f*s(i) + t*x(i).\nAnswer: 2*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733*q + 69259 - 19174 = 698*q for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 381.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 - 28.5. Let i = -31.7 - r. Put i, -9, 3 in decreasing order.\nAnswer: 3, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(52\/54 - 1). Let f(k) = k**3 - k**2 - k - 2. Let d be f(2). Suppose 5*n = -m + h, 5*m - m - 3*n + 7 = d. Sort -3, 3, m in decreasing order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1125 = -15*k + 20*k. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6033258?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 6*w + 20. Let o be f(-8). Solve -5*s - 20 = 0, 9 = -o*a + s - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.4 - 6. Let n = k + 0.8. What is the nearest to -2 in 0.3, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 6:45 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.27937 and 2.1?\nAnswer: 1.82063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (10 + -10) - (25 + -36).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/36)*j\/j**(-1\/6))**(-8\/7))**(-3\/14) assuming j is positive.\nAnswer: j**(41\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, -5*u = 5*g + 8 + 37. Let q = u - -14. What is the remainder when 14 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*i**4 - 83378*i**3 - 652459*i**2.\nAnswer: 504*i - 500268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 48. Let i(j) = -1652*j + 6310. Let q(t) = -i(t) + 8*l(t). What is the first derivative of q(g) wrt g?\nAnswer: 1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -1. What are the prime factors of 80\/r*12\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249 (base 14) to base 4\nAnswer: -13021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.064, -1 in increasing order.\nAnswer: -3, -1, -0.064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 187*k**2 + 43944*k - 246. Calculate s(-235).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 352.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r. Let w(h) = -7*h. Let s(j) = -j. Let n(y) = -y**2 + 12*y - 15. Let u be n(10). Let v(c) = u*s(c) - w(c). What is v(q(f))?\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 b when three letters picked without replacement from bbttbbbttfttbttbbf?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 1\/1985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a microgram in nanograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 4860, -6, 0.092?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1514, -1461, -1406, -1349?\n\"Answer: b**2 + 50*b - 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, 1169, 4692, 11737, 23474, 41073, 65704?\n\"Answer: 195*t**3 + 6*t**2 - 212*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 1 (c) 0.1 (d) 131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - r - 1. Let u(k) = -k**3 + 6*k**2 + 3*k - 22. Let g(p) = u(p) + 2*v(p). Let z be g(-4). Solve 7*o - 6*o - z = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69699066 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14 + (-2)\/(-16) + 3\/(-24). Suppose c*a + 707 = 15*a. What are the prime factors of a?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20370044671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5903 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*h - 8931 = -19335 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 + 3963\/(-27). Let m = 358\/5 - 2969\/40. Find the common denominator of m and (l\/36)\/(-7) - 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((((j\/j**(-41))\/j*j)\/j)\/j*j)\/j))**49\/(j**34\/j*j*j\/(j*j\/(j\/j**(-10))*j)) assuming j is positive.\nAnswer: j**(-1954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -3\/2 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -176690 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/18842811 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259 - 102. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2124, 2159, 2218, 2307, 2432, 2599, 2814?\n\"Answer: v**3 + 6*v**2 + 10*v + 2107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 197 = -7*m, 186*s - 169*s + 179 = -5*m for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 866813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -0.068?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 18. Suppose 0 = 5*t + s*o - 287, 4*t - 5*o = 48 + 157. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18 and -17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 323*b - 51*b - 39*b + 434*b to w + p*b and give p.\nAnswer: 667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40624 * -0.54\nAnswer: -21936.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + o - 5 = 0, x - o - 10 = -3*o. What is the second derivative of 0*q**2 - 2*q + 3*q**2 + 4*q + x*q**2 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -1034?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 440*s**2\/3 + 434*s\/3 - 2.\nAnswer: 2*(s + 1)*(220*s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:57 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*j - 22*j = -284 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -692 and -692 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 5*(-1 + sqrt(112)))*3 + -1)**2.\nAnswer: -2304*sqrt(7) + 36544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 1072\/(-96))\/((-84)\/(-72))\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 divided by -3826?\nAnswer: -541\/1913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -3. Suppose -5*f = -2*f + 4*m + 34, -5*m = x*f + 60. Let q be 7\/f + 50\/4. Solve n = 4*u + 21, -n - n + q = -2*u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 38. Suppose 0 = -4*v + 24 - 44. What is the common denominator of 12 and l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuue when four letters picked without replacement from uuuuuueeu?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-2) - 1)*(-17)\/867?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 - 8\/(-3). Let d = -66 + 70. Suppose b + d*b = -20, c*l - 37 = 4*b. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -674, -673, -672, -671, -670?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 6 - 8 - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 86 = 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10 - ((-2324805)\/4698)\/(-49) and 55\/1566?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/45 + -517*69\/(-1265).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 3*d + 5*m, 61 + 36 = 5*d + 2*m. Let l(r) = 111*r**2 + 29*r - 67. Is l(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4484019 is divided by 351.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2403 (base 11) to base 14\nAnswer: -120d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = 120*y - 52*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.1007 and -275277484?\nAnswer: 275277493.1007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 9. Solve -4*p + b = -m - 2*m, 2*m = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0166 + -3\nAnswer: -2.9834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + 11*y - 5. Let w(v) = -5*v**2 - 16*v + 7. Let k(n) = -7*q(n) - 5*w(n). Give k(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + 3010034?\nAnswer: 3004403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = 4*h + 82. Let w = h + 72. What is the nearest to w in -0.4, 0.2, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = y - 3*i, 4*i = -38*y + 42*y - 24. Which is the nearest to -1? (a) 4\/5 (b) y (c) -4\/7 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -23*l - 64. Let d be j(-3). Suppose -5*v - 52 = -d*f - v, f + v = 14. Solve -2*a = -y + f, 3*a - 2 = 3*y - 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/77 and 50\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119602*s**3 - 119678*s**3 + 358952*s**3 - 119594*s**3.\nAnswer: 78*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -154?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c**2 - 27*c - 3 + 2*c**2 - 2*c. List the prime factors of a(-16).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microsecond in nanoseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5014 - -95147\/19. Which is smaller: u or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/603275, 0.4, 2, -2.\nAnswer: -2, -1\/603275, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*i = 3*o + 3, 4*o + 4*i = 8. Suppose -o*y + 880400000 = 24*y. What is y rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdyulrf. What is prob of sequence ufy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*u - 4*d, d = u - 2*u + 1. Is 5 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 3*u + 126*u**3 + 205*u**3.\nAnswer: 331*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 568442485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 39*y**2 + 81*y - 125. Let o(v) = -10*v**3 + 350*v**2 + 730*v - 1125. Let r(w) = -55*a(w) + 6*o(w). Factor r(d).\nAnswer: -5*(d - 1)*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5)*90\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 2\/39 (c) 9821 (d) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0431079 rounded to 4 decimal places?\nAnswer: -0.0431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 13*g = 5*b + 944, 5*b - 211 = -g. Let d be 1\/(-2) - (-99)\/g. Which is smaller: 5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 4005.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 - 3. Let f(j) = -4*j**2. What is x(f(w))?\nAnswer: 48*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -49 + 184. Let r be (i - 0)*(-6)\/9. Suppose 0 = 2*x - 3*s - r, x - s + 4 - 13 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3456) + 1*sqrt(3456))\/(sqrt(12) - 3*sqrt(36)\/sqrt(3)) + (sqrt(14) + -3*(sqrt(14) + sqrt(224)))\/(-1*(sqrt(28) - sqrt(7))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0 + 0*x - 1 + 3*x**2 + 0*x. Let a be g(-2). Let d be a - 4\/(12\/9). What is the highest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**2 - 258*q - 87.\nAnswer: 3*(q - 29)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20889 and 5017158?\nAnswer: 55188738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 20. Let o = 11 + -8. Let h = 0 + o. What is the nearest to -0.1 in c, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 25. Let s = 179 - 123. Let n(w) = -w**2 + 58*w - 94. Let l be n(s). Calculate k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*b + 3*b, 2*v - 5*b = 28. Suppose v*z - 90 = -z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m + 1)*(2 + 0 + 0)*(m - 8*m - m)*(6*m**2 - 4*m**2 - 3*m**2).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17956079.014 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2381 is divided by 469?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -12.1. Let s = -3.96 + -0.04. Put s, -3\/4, l in descending order.\nAnswer: l, -3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22726436 and 244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2*35\/(-7))\/(1\/(-4)). Let o be -4 + -2 - ((-107 - 0) + 1). What is the highest common divisor of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 + w + 1. Let v be n(4). Suppose -7 = -2*f + v. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (475*k**3 + 11905*k - 11905*k)*(0 + 0 + 3).\nAnswer: 1425*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2982 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 15 + 0 - 5 + 2*v to the form q*v + d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -34101572.\nAnswer: 34101572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - 37. Let m = -120.7 - f. Which is the second biggest value? (a) 1 (b) 2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -129, -140, -151, -162?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 123552 divided by -216\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2. Let i = -1912\/551 - -62\/19. Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 4*v + 21. Let h = -88347 - -88357. What is the remainder when v is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 3*q - 5. Let r = 8 + -3. Let b be k(r). Suppose -b*h + y + 21 = 0, 4*y - 4 = h - 3*h. Solve 5*i - 2*c + 0*c = 20, -h*c = 3*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 6:20 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 - -170175136.631\nAnswer: 170175139.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235 - -394. Let c = -111 + p. Calculate the highest common divisor of 48 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/119? (a) 2\/11 (b) 2 (c) -3\/5 (d) -50 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:52 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4439, -4434, -4419, -4388, -4335?\nAnswer: -4254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.97 + -3603.813428\nAnswer: -3602.843428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3788 = -4*h + 6*a, 5*h + 16*a - 4773 = 14*a. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -3*n**2\/2 - 6*n - 12. What is the units digit of p(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 1816630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from {i: 1, o: 5, v: 1, j: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(-5)*w)\/w)\/w**(-2\/11))**(-21)*(w**0*w)**(1\/8)*(w\/(w**0*w))**32 assuming w is positive.\nAnswer: w**(5219\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcc when three letters picked without replacement from {u: 1, h: 3, c: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16148 divided by -4037\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - l = 880200, -2*c + 535959 = -5*l - 50854. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64 - 310\/7*t**2 - 8\/7*t**3 - 1714\/7*t = 0. Calculate t.\nAnswer: -32, -7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111740 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -41 + (5 - 3) - -3. What is l rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -29*o - 3. Let h(l) = 24*l + 2. Let j(s) = -5*a(s) - 6*h(s). Suppose -7 = -4*r - 51. Let y = r - -8. Determine j(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 38. Put -2, -3, 2, h in decreasing order.\nAnswer: 2, h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 3:19 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -946.03986\nAnswer: -378.415944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*s = g + 36, 0 = -2*g - 2*s + 4. Let j be -18*(-3)\/6 + g + -3. Suppose -c - 4*z = -2*z + 4, -c - 4*z - j = 0. Solve c*u = 2*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8003422*g**2*y**2 - 374*g*y**2 - 19*g*y - g - 6*y**2 - 2 wrt g?\nAnswer: -16006844*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and -4?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -25\/4, -1.34, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 34520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 4:33 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -21004741?\nAnswer: -6301422.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 35*h**2 + 150*h - 22. Let b be q(11). Calculate the highest common divisor of b and 1529.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3318 - -3316. Sort 86, u, 13\/3 in descending order.\nAnswer: 86, 13\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/18))**(-48)\/(k**(1\/14)\/k)**(-1\/5) assuming k is positive.\nAnswer: k**(521\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/6)*a**(2\/23))**18)**(2\/21) assuming a is positive.\nAnswer: a**(254\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(-88*l + 406*l**4 + 1459*l**4 + 3*l + 85*l) in the form r*l + g*l**4 + k + a*l**2 + j*l**3 and give g.\nAnswer: -1865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -a661?\nAnswer: -a666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1428*h**2 - 884*h - 221. Let o(g) = -g**2 + 4*g + 1. Let s(q) = 442*o(q) + 2*t(q). Let w(a) = -5*a. Determine s(w(m)).\nAnswer: 60350*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6229380803655 from 0.3.\nAnswer: -6229380803654.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2898399 by 966133.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**5 + 2340*k**4 - 2335*k**3 = 0?\nAnswer: 0, 1, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**4 + 5*q**3 - 62904*q**2 - 5425067*q + 2?\nAnswer: 12*q**2 + 30*q - 125808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*k - 12 = 0, 2*z - 5*k = 69 - 41 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24475030, 48950059, 73425086, 97900111?\n\"Answer: -k**2 + 24475032*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)\/sqrt(392))\/sqrt(2) - ((1*sqrt(17))**2 + 1 - ((1*sqrt(17))**2 + 5)).\nAnswer: sqrt(17)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.42 + 24.9849. Let v = w - -0.0051. What is the third smallest value in v, 0, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25272\/432*(57\/(-95))\/(18\/(-20))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126591 is divided by 242?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (sqrt(288) + sqrt(288) + 2))*-4)**2 + 0 + (-1 + sqrt(288) - sqrt(288)) + (1*4*(0 + sqrt(288)) + -4)**2.\nAnswer: 384*sqrt(2) + 9295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 4*q - 0 + 2, 3*n + 14 = 4*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**5\/20 - i**4\/4 + 4*i**3\/3 - 5*i**2\/2 + 6*i. Let c = -27 - -49. Calculate the remainder when w(4) is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z**(2\/65)\/z*z)*z)\/(z**7*z*z*z)*z**(-38)\/((z**(-41\/3)*z)\/z) assuming z is positive.\nAnswer: z**(-5921\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 58*w - 56*w + 9, 3*x + 5*w = 6. What is the nearest to -3 in x, -5\/3, -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let a(h) = 151*h - 1. Give j(a(s)).\nAnswer: 302*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 863210, 863209, 863208, 863207?\nAnswer: 863206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 10. Suppose -3*f + 1 + x = 5*w, 2*w = -3*f + 19. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3\/7 - 103*n**2\/7 - 292*n\/7 - 148\/7 = 0.\nAnswer: -2, -2\/3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -165.9?\nAnswer: -171.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12687488 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 + 2384*w + 30823 = 0.\nAnswer: -2371, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 253*g**2 + 4. Let o(c) = -c**2 + 16. Calculate o(j(d)).\nAnswer: -64009*d**4 - 2024*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, 1, 174, 0, -3 in descending order.\nAnswer: 174, 15, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10389505, -10389470, -10389435, -10389400, -10389365, -10389330?\nAnswer: -10389295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -49*g**2 - 43*g**2 - 45*g**2 + 1 + 136*g**2 + g. Let p(b) = b**3 - 4*b**2 + b. Determine -i(l) + p(l).\nAnswer: l**3 - 3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769933.\nAnswer: 37, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**3\/2 - d**2 + 254*d. Suppose 2*b - 3 - 3 = 0. Give l(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -43*b - 2961. Determine a(-69).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7178253 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(9\/360*10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*v**3 + 19*v*y**3 - 2315*y**3 wrt v?\nAnswer: -81*v**2 + 19*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:52 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/(-368) + 159369\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22601239750 + -1.\nAnswer: 22601239749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 263 - 276 - (0 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/21)\/(f\/(f\/f**(2\/7)))*f**(-3)\/((f**(2\/43)*f*f)\/f) assuming f is positive.\nAnswer: f**(-565\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-1))\/(19 - 18) - (-36)\/4\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azixxox. What is prob of sequence ox?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-424)\/(-100) - (-7 + 10). Let z = j - 21\/25. What is the closest to z in 1\/6, -2\/23, -2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142226 + 143342. Suppose 3*t + 2*t - 180 = 0. Calculate the highest common divisor of w and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -3)\/(3\/(-8)). Let w be (-28)\/f*(-4)\/7. Suppose -3*v = -4*t - 107, w*v - 3*t = -5*t + 48. Calculate the remainder when v is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 1)*(-2*g + 4*g + g) + (5 - 3 - 1)*(3 - 8 + 2)*(-1 + 1 + 2*g))*(-11 - 4 - 8).\nAnswer: 207*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.55 - -3. What is q rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8370, -8366, -8360, -8352, -8342, -8330?\nAnswer: -8316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-22)*((-33858)\/216)\/(3\/(-2))*1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 3*h**2 - 4*h - 2. Let d be x(-2). Suppose -d*j = -5*j + 12. Suppose 5*f = -4*t + 121, 0 = -3*f - j*t - 0*t + 79. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 95551*n**2 - 95548*n**2 - 2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*p**2 - 387*p + 981.\nAnswer: (p - 3)*(20*p - 327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 8:36 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from qqqzhzzqdzxxxvqxz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 54 - 128 + 181 - 3*z**3 + 4*z**3 - z**2. Let o(k) = -40*k**3 + 12*k**2 + 12. Calculate -12*d(f) - o(f).\nAnswer: 52*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819249 is divided by 606410.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6925810 divided by -23?\nAnswer: 6925810\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 0*z + 1046 - 206 = 0 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*c - 66*c - 438 = 0. What is the lowest common multiple of c and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 10 + 1771*c**3 + 0*c - 6*c - 1761*c**3. What is the hundreds digit of v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**3 - 10542631*g**2 - 55149073?\nAnswer: 3*g**2 - 21085262*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmgmmmmgmgmmgm. Give prob of sequence mm.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9678 + -9832.12. What is i rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11\/5, -0.5, 7, 15\/4, -2, 5, 15?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 186914.259.\nAnswer: 37382.8518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*300\/88*(-24)\/60.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + c**2 - c. Let b(t) = t**3 + 3*t**2 - 2*t. Let y(h) = -h - 6. Let l be y(-8). Determine l*j(s) - b(s).\nAnswer: s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9156 + 35?\nAnswer: -9121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5, 9, -11.\nAnswer: -11, -5, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 + 5*l**2 - 9*l**2 + l**2 - 3*l to p*l + n*l**2 + m and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1230 + -1228. Solve h = -w - 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 2, 0.07, 1.5, -3, -130 in increasing order.\nAnswer: -130, -3, 0.07, 1.5, 2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*x**2 + 9*x**2 + 8*x**2)*(353 + 173 + 418 + 147) as j*x + o + r*x**2 and give r.\nAnswer: 29457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s - 48 = 0. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, w: 2, i: 3}. What is prob of sequence wp?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from {a: 2, h: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6689132 centuries to months.\nAnswer: 802.69584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 1)*-6)**2.\nAnswer: 720*sqrt(3) + 10836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5484)\/738 + 23936\/3264.\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a factor of 40880105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3537 and 2619?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101\/4 - 25. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 419238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 45 = -5*r, 4*r + 734 = 3*w + 725 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833510279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**3*r)**(-9\/2)*r**(-13)\/(r\/(r**2*r)))**(2\/33) assuming r is positive.\nAnswer: r**(-67\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 969*j - 348*j + 4 + 1582*j + 3546*j. Let y be u(4). What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -885 - -888. Let z = -1 - -0.6. Which is the second biggest value? (a) k (b) z (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1\/4, -0.5, -8 in descending order.\nAnswer: 1\/4, -0.3, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (5*sqrt(133))\/sqrt(7)*5)*6)**2.\nAnswer: 1800*sqrt(19) + 427536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1297071 divided by -8.\nAnswer: 1297071\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/22? (a) 2\/3 (b) 0.1 (c) 6 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1056 + 1692. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.19 (b) -4 (c) 1\/31 (d) -1\/11 (e) 5 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29523 is divided by 1043?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6876138802 to the power of 1\/5, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9386 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18232.75 millennia?\nAnswer: 182327.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270353617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/4)*v\/(v*(v**(1\/4)\/v*v*v)\/v*v) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k**2 + 7*k + 1. Let u be o(-3). Let h(c) = -4*c + 3. Let s(t) = 1. What is u*s(q) + h(q)?\nAnswer: -4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 215490\/135 + 2\/(-9). Suppose q = 10*z - 3*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4*m + 4, 3*k - 26*m - 13 = -24*m. Solve -w + 9 = 3*t - 2, k*t - 31 = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 28, -5, -1\/4, -2 in decreasing order.\nAnswer: 28, -1\/5, -1\/4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, -17 in decreasing order.\nAnswer: 3, -9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6252 is divided by 271.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z + 3)*(3*z**4 - 3*z**4 + z**4) - z**5 + 2 - 1 - 2 + 4*z**5 + 2*z**5 - 3*z**5.\nAnswer: 4*z**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29648569?\nAnswer: 19, 82129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 4*k**2 + 2*k**2)*(-1 + 1 + 2) + 3*k - 3*k + k**2 + 0*k**2 - 2*k**2 + 0*k**2 + (-1 + 0 - 1)*(2*k**2 - 2*k**2 + 2*k**2).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r**2 + 188*r - 1368. Give w(-24).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2065072*b**5 + b**3 + 2*b**2 + 318163843*b wrt b.\nAnswer: 41301440*b**3 + 6*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66651724.\nAnswer: 2, 179, 93089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1694808907 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlllzlwjjj. What is prob of sequence zl?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (3\/(-1) - 0). Let z be 25\/75 - (-14)\/3. Suppose -6*o - 4 = -x - z*o, 0 = -2*x + o + 4. Which is the closest to x? (a) -2\/11 (b) m (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-4) - (4 + 95\/(-20)). Sort -1.3, -0.3, 5, m.\nAnswer: -1.3, -0.3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -13*o - 4. Let n be c(3). Let q = -5706 + 5755. Let i = q + n. Put -5, 2, 0, i in ascending order.\nAnswer: -5, 0, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 43*d**6\/2 - d**3\/3 + 2*d - 123. What is the third derivative of a(o) wrt o?\nAnswer: 7740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (0 - -81)) + 46 + -41 + 6\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 582, 0, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q + 17 - 17)*(-3 + 3 - 2)*(-27 + 24 + 43).\nAnswer: -800*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -13 - 3*o + 12 + 14*o. Suppose 0 = -3*z + 14*z + 11. Determine s(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000866 rounded to five dps?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*s + 1636, -4*q + 0*q = 4*s - 2176. Let z be 238\/51*q\/7. Calculate the greatest common divisor of 40 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1922 + 982 + 940 - 689*i. Let d(z) = 4*z**2. Give d(x(b)).\nAnswer: 1898884*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -20. Let v(t) = 3*t + 41. Let o(n) = -5*b(n) - 3*v(n). Calculate the remainder when 30 is divided by o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/((m**(1\/2)*m)\/m*m*m))\/m))**(3\/13)*(m\/(m*m**(-2\/11)))\/(m**3\/m) assuming m is positive.\nAnswer: m**(-289\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6 + 8)*(-2 + 1 - 41*s**3 + 3*s**2 + 40*s**3).\nAnswer: -11*s**3 + 33*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14945 + 15029. Solve 129 = 5*h + s for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + f = 0, 2*z + 3*f + 3 = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3201.1 and 0.47?\nAnswer: 3201.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((56808456\/(-16))\/3)\/(1\/2). Let b = c - -8207019. What is b rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 6, -1, 14648, 0 in decreasing order.\nAnswer: 14648, 6, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24132671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(17) + (-4*sqrt(153))\/sqrt(9))*-4)**2 - 1*(2 + (sqrt(17) + 4)**2*-3).\nAnswer: -72*sqrt(17) + 2561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j - 20*j - 22 + 25*j. Let y be g(-6). Solve -y*u - 6*n - 14 = -2*n, 0 = 3*u + 3*n + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 + z - 8. Let u be f(3). Let b = u + 41. Suppose 2*s - 135 = -s. Calculate the greatest common factor of s and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 7, t: 2, l: 3, j: 1}. What is prob of picking 2 l and 1 j?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-49)\/(-14) + 4)*(-4)\/(-6). Suppose t = 2*b - 5. Let o(l) = l**2 - l - 12. Let r be o(7). Solve -b*x - 5*p - r = 0, 0*x + 3*p + 28 = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.12 - 0.12. Let f = -9 + t. Sort -2\/11, f, -1\/8 in descending order.\nAnswer: -1\/8, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5dc67 (base 15) to base 3\nAnswer: 120020020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 0.41319, 396 in decreasing order.\nAnswer: 396, 0.41319, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*f + 55*f + 61*f + 219*f + 46*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 24*d**2 - 1. Let z be y(-1). Suppose 6*p - z = 49. Suppose 0 = 2*r + 4*h - 38, -44 - 39 = -4*r - h. Calculate the remainder when r is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 70 + (-806 - -749)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 1, y: 2, g: 1, b: 1}. Give prob of sequence yyf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 10. Let q(z) = z**2 + 206*z - 3316. Let t be q(15). Suppose 2*c = 3*c - 5. Let o(d) = d + 1. Determine c*o(p) + t*i(p).\nAnswer: -2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 10, 32, 74, 142, 242, 380, 562?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 33270666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) 2\/13 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193 + -125. Is 29 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14670*h**2 + 226*h**2 + 7254*h**2 - 1140*h**2 + 6945*h**2.\nAnswer: 27955*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3511896619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139.9 - 140.2. Which is the biggest value? (a) -3 (b) -18 (c) 4 (d) n (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/2, 0, 16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2704.9 + 2704.90012891. What is j rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90166 divided by -26.\nAnswer: -45083\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -21.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 110*i**2 - 73*i**2 + 6*i**2. Let j(l) = 26*l. What is j(n(q))?\nAnswer: 1118*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 47000 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:22 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - 12\/(2 + 1). Suppose 0*l = j*l. Suppose -6*m + 180 + 480 = l. Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 41835?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (81\/(-18))\/(1\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhvy when four letters picked without replacement from {h: 4, v: 2, c: 1, y: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6828 divided by 2.\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 1. Let o(a) = -2*a - 2. Let i(n) = -o(n) - 3*p(n). Let z be i(5). Let u be (z\/9)\/((-5)\/30). Solve -3*l + u = -7*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181\/4 + -45. Which is the closest to f? (a) -2\/7 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -398, -427, -464, -509?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3614187, -3614189, -3614191, -3614193?\n\"Answer: -2*z - 3614185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 118\/(-4)*(25 - -1). Let r = s + 1185. Calculate the greatest common divisor of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + -1140011?\nAnswer: -1140112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/144*105\/20 - (-464)\/(-204).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 13. Let w be o(0). Let v(j) = -2*j + 31. Let n be v(w). Solve 4*a + n*u = -7, 2*a - 4*u + 13 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11085, 2\/9, -0.2 in decreasing order.\nAnswer: 2\/9, -0.2, -11085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 77*b + 544 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74501432, -74501434, -74501436?\n\"Answer: -2*f - 74501430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619.761 plus 0.0652?\nAnswer: 2619.8262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 269.6528 grams?\nAnswer: 0.2696528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3877*i - 5*m + 29 = -3879*i, 3*m - 19 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 4.405262 nanometers in micrometers?\nAnswer: 0.004405262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -12719.9?\nAnswer: 12719.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -116*x - 3941. Let r be t(-34). Put 9, 243, r in ascending order.\nAnswer: r, 9, 243","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0505624 rounded to 3 dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17463\/4 + -4366. What is the nearest to 0.6 in -4, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 15*h + 23*h)*(-2 - 11*h**3 - 5 + 13*h**3).\nAnswer: 82*h**4 - 287*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -29*w**3 - 24*w - 1. Let c(i) = -13*i**3 - 11*i. Let y(m) = 9*c(m) - 4*v(m). Determine y(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(2299).\nAnswer: 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m**2 - 160*m + 34. Let i(q) = 13*q**2 + 320*q - 67. Let n(b) = -2*i(b) - 5*j(b). Suppose n(g) = 0. What is g?\nAnswer: -18, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 4\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyyycqoivqyovyvyov. What is prob of picking 3 q?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 347, 351, 355, 359?\n\"Answer: 4*n + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 13739192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 + -274. Let j = 1208 + u. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/180)\/(((-882)\/112)\/(-7))\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 2221122301?\nAnswer: 2221122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i - 10. Let h = -5 - i. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rppplflpfpp. What is prob of sequence fp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 77685329?\nAnswer: 77685327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -620*b**7\/21 + 105*b**3\/2 + 2*b - 6. Find the second derivative of t(d) wrt d.\nAnswer: -24800*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2669 + 2671 + -46 + -1 + 2 + (4 - 4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13995 = 13*t - 786. Let r = -603 + t. List the prime factors of r.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = q + 143025*o - 143021*o, 4*q - o = -22 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28295 by 2.\nAnswer: 28295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h. Let m(v) = v**3 + 4*v**2 - 5*v - 1. Suppose -7*j + 3*j - 16 = 0. Let f(k) = j*a(k) + m(k). Let g be f(0). Which is greater: -1\/5 or g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {a: 1, l: 5, d: 3}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055152599 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: Let b = -25 - -28. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 + 171. Let a = m - 52. Let v = a - 16. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 16.4, 2\/13, -54, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -135026*s + 133758*s + 172448 for s.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - m - 35 = 4*l, -5*m = -2*l - 9. Let b be 4\/(l\/(-2)) + 2. Suppose 0*q = 5*q. Solve -b + q = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 298415 and 1261?\nAnswer: 28946255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 0. Let k be (-4)\/14 - (-1819)\/119. Let p = s + k. Solve -2*z - 2 = -4*a, 3*z + 0*a - p*a - 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13635211 less than 13635214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6517 (base 10) to base 2\nAnswer: -1100101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 - -9738237.\nAnswer: 9738236.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 368 - -658. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848280 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 19*y + 5005. What are the prime factors of m(0)?\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20937, 26924, 32911, 38898?\n\"Answer: 5987*o + 14950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/177, 1\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 10020002200001?\nAnswer: -10020002122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 3*i\/2 + 77.\nAnswer: -(i - 14)*(i + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 - 10 = -2*c, -3*i + 2*c = -17. Suppose -i*y = -6*y. Suppose y = 6*n - 77 - 25. Calculate the highest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 34 = -8*q + 36 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18100619, -36201253, -54301899, -72402563, -90503251, -108603969, -126704723?\nAnswer: -144805519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -135 + (-189)\/2394*-1919.\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p + 277. Is 6 a factor of z(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((9 - 14)\/(1 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/7)\/((-28)\/(-196)))\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*q + 848, q + 1428 = -5*p + 2*q. Let d = 289 + p. Solve f + 17 = 3*h, -4*h + 14 = -0*h + d*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, w: 2, g: 2, c: 2}. Give prob of sequence ccg.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(42) - (sqrt(42) - (sqrt(42) - sqrt(378)\/sqrt(9))*-1))*1)\/(-6*(sqrt(150) - 6*(sqrt(150)*3 - sqrt(150)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*g**3 - 11*g + 0*g**3 + g**3 - 11*g**3 wrt g?\nAnswer: -138*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-10) + 11\/55. Suppose -9 = -5*w + 3*t, -2*w + t - r = -3*w. Calculate the remainder when 5 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxahqqxhhahaaxhahaho. Give prob of picking 1 x, 1 a, and 2 q.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - ((6 - -13) + -71) - -7) + (10 - 1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257894834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**5 - 175*d**4 - 1775*d**3 - 4325*d**2 - 4000*d - 1280 = 0?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6407306 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 + -0.2. Let o = -4.8 - -5. Which is the nearest to q? (a) 0 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 4*x + 12. Let q = -6 - 0. Let r be w(q). Suppose -2*s = -y + 10, r = 7*y - 2*y - 5*s - 40. Calculate the remainder when 9 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4818 and -187\/2190?\nAnswer: 24090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 14*n + 18. Let r be w(-13). Suppose r*d + 7 - 2 = -2*x, 2*x - d - 1 = 0. Solve -4*i = 8, x*i + 2*i + 8 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/sqrt(4))\/sqrt(11) + sqrt(5))*2 + 5.\nAnswer: 5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6133\/980 + -2\/245. What is the common denominator of (-4)\/(-1 - -3) - (-3504)\/(-18240)*-5 and o?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2286 times 8.72\nAnswer: -19933.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8712 - 5885. List the prime factors of l.\nAnswer: 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6410775 divided by -2136925?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180777 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526811915.\nAnswer: 5, 7, 89, 131, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 7a2?\nAnswer: 7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -164.\nAnswer: -5\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9684.3 * 2.286\nAnswer: 22138.3098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 345 - 253. Calculate the highest common divisor of 138 and u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let s = -57 - -57.1. What is the closest to y in -0.4, 1\/2, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 less than -20?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*w - 10, 2*w + 1 = -2*q + 3*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 617057 and 4112?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - m = -6*n + 77, 3*m = -3*n + 69. Determine f so that 52*f**4 + 672*f + 664*f**2 - 2*f**4 + 106*f**3 - 386*f**3 + 144 - n*f**4 = 0.\nAnswer: -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.789 rounded to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/2 in -3, 2\/9, 1\/4, 1\/15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 33*k**2 - 174*k - 1071. Determine y(-6).\nAnswer: 1161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.442 - -3.842. Let m = -13 + 10. What is the closest to -3 in m, 3, -2\/17, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 11:08 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 3, y: 3, b: 1, z: 1, f: 2}. What is prob of sequence fzfh?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -18953\/393?\nAnswer: -18953\/393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 16*k**2 - 27*k. What is o(-13)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*g**2 - 22*f**2 - 4*f*g**2 - 1170*g**2 with respect to f.\nAnswer: -2*f*g**2 - 44*f - 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-246)\/9)\/(6\/9). Let y be f + 2*(-2)\/4. Let h be ((-1)\/(-2))\/((-49)\/y). Sort 1\/5, 0.5, h in increasing order.\nAnswer: 1\/5, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**8\/20160 + k**5\/60 + 3*k**2. Let j(c) be the third derivative of v(c). Let u(q) = 2*q**2. What is j(u(t))?\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 38*s**2 - 2*s - 27. Give n(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*p*q**4 + 22*p*q**3 - 10*p*q + 2*p - 16*q**2 + q wrt q.\nAnswer: -2568*p*q + 132*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 - -83. Suppose 30*p + g = 34*p. Suppose 4*u = p*n + 2, -n - 4*n + 2*u = 5. Sort n, 0, -2 in descending order.\nAnswer: 0, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 10:16 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.059 + 0.059. Suppose -5*n - 3*p + 2 = 0, 0 = -2*n + 2*p + 2*p + 6. Which is the nearest to n? (a) -1\/7 (b) o (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-eight thirds of a year?\nAnswer: 272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82983 = 16*b + 22565 - 17230. List the prime factors of b.\nAnswer: 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.65668362 rounded to four dps?\nAnswer: -12.6567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 137127?\nAnswer: 822762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -0.5, 1, -1, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -801 + -10. Let c = a - -782. Let m be -1*1\/1*1. Is c at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 17*u**2 - u. Does 11 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/58 and 46\/29.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*w + 32, k - 2*w + 4*w = -5. Suppose -4*i - 66 = -0*v - 3*v, -4*v = -k*i - 81. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 90, 149, 178, 177, 146, 85?\n\"Answer: -15*k**2 + 104*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807843*r**2 - 807823*r**2 + 2423485*r**2 - 807820*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 2*l**2 + 2*l**2)*(3*l + 2*l - 4*l)*((-2 + 4 - 1)*(-2 + 1 - 1) + 6 - 2 - 3).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14677 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0035744 rounded to five dps?\nAnswer: -0.00357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-2\/3)\/n*n))\/n**7)\/(n*n**(-2)*n)**49 assuming n is positive.\nAnswer: n**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 3b?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233103 is divided by 5052?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 2)*(0 + 0 + 4*n)*(7*n - 4*n**2 - 7*n).\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 + 31*h**2 - 12*h + 19. Determine y(15).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13732858 divided by -2\nAnswer: 6866429","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0621 + -0.9379. Let q = 0 - 0. What is the nearest to d in q, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 0*k**4 - 3*k**2 - 1\/15*k**5 + 0 + 0*k + 0*k**3. Let n(a) = 29*a**2 + 0 - 26*a**2 + 0. Calculate b(n(s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -49, -8499, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.7, 1\/10, -1510.\nAnswer: -1510, 1\/10, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -632 divided by 6.\nAnswer: -316\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4.4. Let q = 2\/59 + -63\/118. Let s = 2142 + -2141. Which is the closest to q? (a) -0.3 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -141 - 15200?\nAnswer: -15341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1244 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 20. Suppose -3*h = -t - 8, h - 6 = 2*t + 5. Put h, 0, s in descending order.\nAnswer: s, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271\/19956 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6655*k**2*r**3 + k**2*r + 2*k**2 + k*r**3 + 67*k*r**2 - 8*r**3 - 3*r**2 wrt k.\nAnswer: -13310*r**3 + 2*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgufnugugggnmggunug. What is prob of sequence nu?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17 - m + 2*m - 8 - 3*m. Let r be z(-3). What is the highest common factor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*4\/6. Suppose -13*c + 46 - 20 = 0. Let f be c\/(-3) + (-18)\/(-27). What is the closest to f in 1\/7, 2\/15, q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 + -114. What is the biggest value in a, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-4)*a)*a**(-3\/5))**(-30\/13)\/((a*(a*((a**(2\/7)\/a)\/a)\/a)\/a)**(-6)\/(a**(-1\/2)*((a**(1\/3)*a*a)\/a*a*a*a)\/a)) assuming a is positive.\nAnswer: a**(-8353\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vmvvmkkmvlykk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13023987, -13023983, -13023979?\nAnswer: -13023975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -9 (c) 842 (d) -0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 - 224686*q**4 + 53109440*q**3 - 3135099992*q**2 = 0. Calculate q.\nAnswer: -112579, 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 47666.126 to the nearest ten.\nAnswer: 47670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-418*n**2 + 825*n**2 + 7*n - 414*n**2)*(-2*n - n + 2*n).\nAnswer: 7*n**3 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 - 82.919. Let v = -3.087 + 6.306. Let p = v + h. Round p to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 619315*i**5 - 9871*i**2 - 8.\nAnswer: 37158900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 10*p - 13. Let v be b(8). Suppose -20 = 4*z - 2*n, 0 = -v*n + 7*n. Is 0 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - -6 - 0 - 1. What is the remainder when 27 is divided by w - 11\/1 - (-18)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {s: 1, n: 2, e: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 30 = 5*n, 4*n = -3*f + 37 - 10. Suppose 3*v - 289 = 9*b - 4*b, -n*v + b = -293. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18902709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 565 + 82 = -4*z, -2*i = -10. Is 289367\/z - (-2)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*k - 39, 0 = -7*t + 4*t + 3*k + 81. Suppose 5*j - 10 = -0*j. Suppose z = -j*x + t, -1 = -5*z - 21. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4067, -16282, -36641, -65144, -101791, -146582?\nAnswer: -199517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 3*k**3 - 29*k**3 + 2*k + (-3*k + 7*k - 2*k)*(3*k + 2*k**2 - 3*k).\nAnswer: -28*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(12\/(-26) - 189\/1365).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+-27\nAnswer: -26.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 0*i**2 + 109*i**3 - 25 - 106*i**3 - i**2.\nAnswer: 3*i**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4.5 times -19\nAnswer: -85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)\/i*i*i**(-1\/15)*(i**(-1))**16 assuming i is positive.\nAnswer: i**(-376\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 + 1832 = -169*v - 1419. Which is the second smallest value? (a) 2 (b) v (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 7603770.\nAnswer: 22811310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306207355.\nAnswer: 5, 61241471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -20) + 5 + (33 - 20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-2)\/(-3) - (-2)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x + 11*x = -10*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*g - 17 + 17)*(2 + 3 - 3)*(0*g - 2*g + g) + g**2 - 5*g**2 + 6*g**2.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0.6. Let v = -0.2 - -0.2. Let r = v + -0.5. Which is smaller: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2403 divided by -9\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - 3.08. Sort -5, -0.02, -4, s in increasing order.\nAnswer: -5, -4, s, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Let z(a) = -a**2 + 4*a**3 + 3*a**2 + 2 + 0*a**f. Let q(k) = 9*k**3 + 4*k**2 + 4. Suppose -6*t - 2139 = -2217. Give t*z(n) - 6*q(n).\nAnswer: -2*n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**3 - 59*q**3 + 33*q**3.\nAnswer: -49*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 80\/(-28) - 1\/7. Let l be (-1 + 3 + -2)\/(-1). Let a be ((-25)\/10)\/(2\/4). Sort l, u, a in increasing order.\nAnswer: a, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 2 - 0 - -4 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 799730 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Let i(x) = -2*x**2 + 2*x - 3. Let o(a) = -5*a**2 + 10*a + 3. Let u(h) = 5*i(h) - o(h). Determine u(p(f)).\nAnswer: -5*f**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 960886013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 7, x: 2, n: 4, v: 2}. Give prob of picking 2 n and 1 l.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 110, 433, 1070, 2027, 3310, 4925, 6878, 9175?\n\"Answer: z**3 + 151*z**2 - 137*z + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**38\/(l\/(l\/(l*l**4*l*l))) assuming l is positive.\nAnswer: l**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, c: 2, k: 5, s: 1, b: 3}. What is prob of sequence bsb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 - 2*v**2 + 12*v + 634. Let z(l) = -8*l**3 + 9*l**2 - 54*l - 2537. What is 9*x(q) + 2*z(q)?\nAnswer: 2*q**3 + 632","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75\/4, -0.4, -0.3, 77, 3, -3 in ascending order.\nAnswer: -3, -0.4, -0.3, 3, 75\/4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -0.1174\nAnswer: 2.1132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/524 and (-8530)\/(-2800) + (-136)\/85.\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 80?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/(-220) + 272\/10. Calculate the greatest common divisor of 27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 33849*k**2 + 978912*k + 2093244.\nAnswer: 3*(k - 11254)*(k - 31)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12733 + 25964. List the prime factors of z.\nAnswer: 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1823 - 0.3877. What is the biggest value in -15, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1678 - 72 = 2*a. Suppose -5*t + 4*f + a = 0, -4*t - 304 = 2*f - 962. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84855708 divided by 84.\nAnswer: 1010187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -18*h + 5*h + 2*u + 2*u, -3*h + 18 = -u - 0*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 183181735 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-84)\/27) + 1\/4. Put 2, q, 1 in decreasing order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000278801 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 15*m**2 + 1. Calculate w(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 + 1 + 2)*-2. Suppose -q = c - 5*c. Solve -23 = -w - 3*w - 5*a, -c = -5*w + 2*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 9*l**2 - 7*l - 1. Suppose 5*c - 116 = 3*i, -82 = 5*c - 9*c - 3*i. What is the remainder when s(6) is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4935 + 0.9935. Let g = 40 + -26. What is the nearest to g in -1, q, -3\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**3 + 2*t**2 - 76*t - 11562 wrt t?\nAnswer: 3*t**2 + 4*t - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1094627250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91232929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-12) + 0 - 2. Which is the nearest to 1? (a) 0.4 (b) -2\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 77 + 47 = 0. Suppose -4*h - r = 23 + 3, -5*h = -3*r + 41. What is the biggest value in k, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31329983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 2:28 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = 706 - 910 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2084\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.676154 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-65)\/(-819)*-7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87032 - 87032 - 132*a**3)*(a - 4*a + a).\nAnswer: 264*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -953*-11\nAnswer: 10483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10 = h. Let s(m) = -m**2 - 3*m - 7. Let v be s(h). Let c = 20 + v. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181 + -87. Is 5 a factor of j\/10 + 36\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -29. Let v = g + 5. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**7*t\/(t*t\/(t*t**(2\/21)*t))*(t*t\/t**(-5\/2))\/(t\/((t\/t**(-3))\/t)) assuming t is positive.\nAnswer: t**(655\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1291*j = 1260*j. Let b be (2*1)\/((-2)\/(-2)). Let p(r) = 0*r**b - r + 5 + 2*r - r**2 - r**3. What is p(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -0.03 (b) 2\/11 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 - 3*v - 7. Let x = -9 + 14. Determine k(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + 7 + (-32 - -16 - -16) + -37?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 5*d + 20 = 7*l, -7 = -2*l - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 4*t - 3*t)*(-21*t**2 + 7*t**2 - 10*t**2).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 134023194 (b) 1\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -127, -259, -397, -541?\n\"Answer: -3*x**2 - 123*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (75\/(-20))\/(72\/32 + -3). Let b = -2 - -6. Sort 1, n, -3, b in decreasing order.\nAnswer: n, b, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/112595 and 44\/2499609.\nAnswer: 12498045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2. Suppose g - 1 = -4*g + 3*i, -4*i + 12 = 0. Let z(y) be the second derivative of 0 + 0*y**3 + y + 0*y**g + 1\/4*y**4. Determine b(z(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.37716 grams to kilograms.\nAnswer: 0.07137716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -132370 divided by 14?\nAnswer: -9455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let b(i) = -22*i. What is z(b(s))?\nAnswer: 484*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*u + 802*u = -2*x - 12, -x + 437*u - 2201 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35.56, 5, -0.376 in descending order.\nAnswer: 5, -0.376, -35.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006247503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + (-2253522)\/(-12))*1\/(-60). Let s = 3133 + h. Let y = -8\/3 + s. Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 - 14174*p**2 - 2*p + 14174 = 0. What is p?\nAnswer: -1, 1, 7087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643196, -643197, -643200, -643205, -643212, -643221, -643232?\nAnswer: -643245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 44*w**2 - 3*w + 4363. Calculate i(46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 a factor of 892137150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 86296?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -867*f - 439. Let p(q) = 163*q + 88. What is 11*p(g) + 2*z(g)?\nAnswer: 59*g + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -4575 and -4576 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -36a (base 11) in base 13?\nAnswer: -27a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 713 + 737 = 0, 10 = -t - 3*p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - 2b?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t - 174 = -5*t. What is the derivative of -4*o**3 + 4*o**3 + 2*o**3 + 5*o**t - 36 - o**3 wrt o?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/85 and 29\/2126377?\nAnswer: 10631885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -836, -793, -698, -527, -256, 139, 682?\n\"Answer: 4*p**3 + 2*p**2 + 9*p - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 81. Let o be 2\/(-3) + 1\/(-3). Calculate the common denominator of ((-100)\/x + o)\/(-6) and 139\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.527756 centuries?\nAnswer: 0.1527756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26478 rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s + 2*s - 5*s + (2*s + 0*s - 4*s)*(-4 - 3 + 5) + 61*s + 342*s + 79*s.\nAnswer: 490*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -48, -7, -1\/5, -2, 101, 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3278846 by -3.\nAnswer: -3278846\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-938)\/(-1407) + 8\/(-14))*((-116)\/(-36) - 4).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -231aa (base 14) to base 4\nAnswer: -110312202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*f + 27*f + 19*f**2)*(-2*f + 2 - 2) + 79*f**3 - 61*f**2 + 61*f**2 - 6*f**3 - 2 + 2 as l*f + g + r*f**3 + h*f**2 and give r.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -6. Let b = n - -7. Let u(x) = -x**3 - 4*x**2 + 4. Let g(h) = h**3 + h**2 - 1. Give b*g(m) - u(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -918, -1507, -2094, -2679, -3262?\n\"Answer: f**2 - 592*f - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 2*n**5 - 4*n**5 + (-3*n**3 + 3*n**3 + 3*n**3)*(n**2 - n + n).\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {q: 4, z: 6, y: 4, n: 5}.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3896145 (base 12) in base 8?\nAnswer: -52411105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6416361 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 3. Let v be (-9)\/h + (-3)\/(-6). Suppose v*o - 59 = q, -3*o + 8*o + 3*q - 43 = 0. Calculate the remainder when 20 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 126913, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -431 + 0?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, f: 9}. What is prob of sequence yyf?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208677 is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3636 = -17*y + 19*y. Calculate the remainder when 24\/60 - y\/5 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -24, -27, -26, -21, -12?\n\"Answer: 2*b**2 - 13*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from {c: 4, q: 3, h: 2, e: 1, n: 4, y: 6}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4852 - 4762 = 21*s, -2*l = 5*s - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g - 22. What is u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and 21\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 14. Let w = 13\/152 + -4\/19. Let z = 833\/5 - 166. What is the closest to -1\/3 in w, l, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -715515.5\nAnswer: 7155.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -4. Let n = -402 - -398. Let w be 8\/n*(-2)\/(-4) - -3. Which is the nearest to w? (a) 0.4 (b) -0.6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-6)*(-32)\/30. Suppose 250 = d + 116*d + 8*d. Sort c, d, 5, 0.2 in decreasing order.\nAnswer: 5, d, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.1, -6, -0.3, -174, -2\/17?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 365352830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66929.\nAnswer: 17, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + t + 171 - 180 = 0, -2*k - 5*t - 23 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31844, -31841, -31848, -31865, -31892, -31929, -31976?\n\"Answer: -5*w**2 + 18*w - 31857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-1*3))\/2. Suppose u*n + 3*z + 118 = 2*n, -220 = -4*n - 2*z. Suppose 3*i + 0*y = y + 133, -n = -i - 2*y. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135*(-6)\/108*2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -123? (a) -1\/7 (b) -5 (c) -2 (d) 1\/4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 4 + 0 + 2 + -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose -25 = -x*r + 8*r. Let w = r + 8. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -79.84.\nAnswer: 239.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 537 + -535. What is the closest to -1.1 in 0.5, -1\/3, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 46. Let s = -26 + j. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1*(-8)\/6*(-54684)\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - 7 - -3845 - -4*2. What is u rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374422706?\nAnswer: 2, 7, 157, 170347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(324\/15))\/((-115)\/(-69))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2417 - -3722. Suppose 9*v = -0*v - y. Let p = v - -203. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 62225997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 bigger than -266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.13 + -7.07. Sort r, 5, -1\/10, 0.4 in descending order.\nAnswer: 5, 0.4, -1\/10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/97)*z)\/(z*z**(-11\/2))*((z*z*z**(-8\/5))\/z)\/((z**(-2\/33)*z)\/z) assuming z is positive.\nAnswer: z**(159449\/32010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 - 2373*b\/2 + 6697737\/2 = 0. Calculate b.\nAnswer: -2517, 2661\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)\/p)**(-6))**(-4\/3)*(p**(-6)*p)\/p**(-1)*p**(5\/2)\/p**6 assuming p is positive.\nAnswer: p**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/181424*136*((-36)\/15)\/6?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 0*h**3 + 0*h**3 + (-7*h - 5*h**2 + 7*h)*(3 - 6424*h - 3 + 5863*h) to v*h + f*h**3 + d*h**2 + a and give f.\nAnswer: 2803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 0*w**5 + 0*w**3 + 0*w**4 + 5\/2*w**2 + 1\/6*w**6 + 0*w + 3. What is the second derivative of z(q) wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-8\/3)*(l\/(l**(-11)\/l))\/l assuming l is positive.\nAnswer: l**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 6*u - 28*u. Suppose -4*o + 3 = -5*r, 5 = 5*o - r - 4. What is the remainder when 561\/12 + o\/8 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from tgtkn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1311341201 - -3?\nAnswer: -1311341143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**27\/h)\/h**(2\/73))\/(h*h**(1\/4))**(8\/7) assuming h is positive.\nAnswer: h**(12542\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1539))**2*2.\nAnswer: 49248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -51, 0 in ascending order.\nAnswer: -53, -51, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 58*i**3 + 5*i**2 - 83*i + 61. Does 29 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -134, -197, -286, -401, -542, -709?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.03562\nAnswer: -0.14248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(-1 + (3*sqrt(320) - sqrt(320)) + sqrt(320)))**2.\nAnswer: -19200*sqrt(5) + 1152400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f + 2103 = 2213 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f + 0*f)*(2 + 0 + 4) - 3*f - 7 + 7 - 3*f - 3 + 2*f + 2.\nAnswer: 14*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2209 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -339, 0.21, 0.4, 2\/3 in descending order.\nAnswer: 2\/3, 0.4, 0.21, -339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -15. Does 5 divide (3 + a + 0)*15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 13, s: 5, e: 1}. What is prob of picking 1 e and 1 v?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 + (-22)\/5. Let x = 0 + d. Find the common denominator of 75\/8 and x\/(-22)*(-16)\/1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3525 (base 11) to base 10\nAnswer: -4625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7128803600 to the nearest one million.\nAnswer: 7129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/22002 and -13\/456.\nAnswer: 88008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((5 + sqrt(7) + sqrt(112) - (-3*sqrt(7) + -3)) + 0 + -5)*-4)**2 + 4.\nAnswer: 768*sqrt(7) + 7317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((5 + -5*sqrt(7) - (sqrt(343) - (sqrt(343) + sqrt(343) + sqrt(343) + -3 - sqrt(343)))) + 0)**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 195*j**2 + 80*j + 34. What is y(97)?\nAnswer: -1615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20317144 (base 9) to base 16\nAnswer: 94d8f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-13))\/c*c**(-22) assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*r = -120*r - 87*r + 5475 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2133 - -3813. Let w = 506152 + -2522386\/5. Let r = o - w. Is r less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**3 - 46*n**2 - 2*n - 35204.\nAnswer: -9*n**2 - 92*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-17)\/(z\/(z*z**(2\/13)*z)*z) assuming z is positive.\nAnswer: z**(-219\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6177 - -4?\nAnswer: 617b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9426 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**4 + 6795452*s**3 + 3*s**2 + 21214975*s wrt s?\nAnswer: -12*s**2 + 40772712*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*o - 42*o - 47*o + 275*o - 60*o - 35*o - 35*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:29 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 7*l - 8. Suppose -21 = 681*g - 674*g. Let m be y(g). Solve -3*s - 2 = -m*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548412 is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-49)*(21112\/2610)\/26\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836*d = 837*d - 17053. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(220))\/sqrt(10))\/sqrt(2) + -4 + sqrt(132)\/(2*sqrt(12)).\nAnswer: -3*sqrt(11)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -113. Let u(s) = -115*s + 2. Let t be u(c). Suppose -12*w = w + t. Let z(b) = 2*b + 8. Give z(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = -70. Let m(x) = x**2 + 5*x + 5. Let i be m(-5). Calculate the highest common divisor of c and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*f + 13*f = 1717 + 484 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210210 (base 3) in base 15?\nAnswer: -5cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 585013616*l**2 - 585013614*l**2 - 6 + 24.\nAnswer: 2*l**2 - 11*l + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 612*h**2 + 146*h - 710. What are the prime factors of b(5)?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5277 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:33 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2. Let g(s) = 735620*s. Give o(g(u)).\nAnswer: 2164547137600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 3*f**2 + 2*f + 2. Let s be m(2). Let c be (3 - (s - 0))*0. Let k = 11 - 9. Solve w = -d - k, 0 = -c*w - w + 3*d + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Suppose -2*z + 2 = -3*j - c, -2*j + 6 = 3*z. Let n = j + 3. Let b(o) = -o - 4. Calculate b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.1. Let f = g + -0.14. Which is the nearest to f? (a) 0.3 (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20100211110200 + -12?\nAnswer: -20100211110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*w + 47 = -9, 48 = -5*t - 2*w. Let n(g) = 2*g**2 + 9*g + 5. Let j be n(t). Suppose 74 + j = 5*c. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0428913851 to 5 dps.\nAnswer: -0.04289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6473093 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 1. Let n be (-24)\/84 - (-2)\/7. Determine b(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5194 and 7170317.\nAnswer: 14340634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -107. Suppose -6*r = 13 - a. Let i(y) = -18*y**3 - 2*y**2 + y. What is i(r)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 5*s**2 + 5*s**2 + 3*s**4)*((2 - 3 - 3)*(3*s - 3*s - 2*s) + (4*s + 0*s - 3*s)*(0 - 2 + 1)).\nAnswer: 21*s**5 + 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at least as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**4\/6 + k**3 + 7*k**2. Let r(t) = -3*t - 5. Let s(q) = 6*r(q) + 5*y(q). Let m(i) = 17*i**2. Give m(s(v)).\nAnswer: 68*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 19892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5*u - 6, -5*u + 13 = -4*j - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3\/d)\/d*((d\/d**(-1))\/d)\/d)**(2\/31)\/((d**(-1\/2)\/d*d)\/(d*d**(-4\/11))*d**(-8)\/d*d**(2\/9)) assuming d is positive.\nAnswer: d**(61249\/6138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*j + 50*j - 26*j)*(7 - 2 + 0).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa6 + -7a99c?\nAnswer: -79de6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8 - c**3 - 6.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from tpxxtxwtvpzw?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -2*y - 5, 4*q - 12 = 2*y. Suppose 3*u = q*p, -4*u = -4*p + 1 - 5. Let x = 15 + p. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101167 (base 10) to base 16\nAnswer: a963ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -14*q**2 + 3. Let j(w) = 7*w**2 - 2. Let c(k) = 3*d(k) + 7*j(k). Differentiate c(o) with respect to o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 * 66.\nAnswer: 6006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130566 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 61*f**2 + 2*f + 2. Let c be k(-2). Let o be (-238)\/c - -1*1. Let s = o - 135\/847. Put -1\/5, 3, s in increasing order.\nAnswer: -1\/5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 14*j - 5. Let c be b(5). Let h = 28 + c. Suppose 9 = 3*g, -5*q + 2*q + 45 = -h*g. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + -48 + -4 + (4 + -7 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-104) + (-48)\/(-26). Solve -p*n = 3*y - 2 - 8, -5*n + 25 = -5*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14211284*u**4 + 5981409*u**2?\nAnswer: -341070816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 6.3. Which is the nearest to 2\/3? (a) 2.7 (b) f (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(156)*2 + sqrt(156))*1)\/(1*(2*sqrt(24))\/sqrt(2)) + -2.\nAnswer: -15*sqrt(13)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 1. Let j be l(-2). Suppose -3 - j = -c. Let p(g) = g - c - 1 + 1. Let y(t) = 1. What is p(f) + 5*y(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9565234039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = -3*t, 0 = 2*t - 4*f + 3*f - 5. Let z be (95\/10)\/((-5)\/t). Let w = 21\/5 + z. Is 0.7 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/105*5\/(-1))\/1\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -4 (c) -1\/14 (d) 0.2 (e) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-441)\/168)\/((-13)\/(156\/(-18)))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1111239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2. Let t(m) = -17*m - 2. What is t(s(d))?\nAnswer: 17*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(sqrt(77) + 3*-1*sqrt(77)))\/(-4*-2*sqrt(7) + sqrt(7) - 3*sqrt(28)\/sqrt(4)).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -u - 9, -3*p = 2*u + 2*u - 9. What are the prime factors of (-5)\/(u + -1) - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 71. Let a(g) be the second derivative of 0*g**3 + 7*g + 0*g**2 + 1\/54*g**l + 1\/189*g**7 + 0 - 1\/90*g**5 - 1\/135*g**6. Suppose a(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35427 = -16*n + 71677. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 7 = 7. Suppose 3*u = 7*u - 12. Sort u, i, 0.2, 1\/2 in decreasing order.\nAnswer: u, 1\/2, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378556 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4410, 16872, 36372, 61872, 92334?\nAnswer: 126720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1327\nAnswer: -3\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 233\/10 - 47\/2. Suppose 8 = -n + 5*n. Suppose n*h = -h + 3. Is h < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 - 36*k - 27. Let n be u(-8). Which is the third biggest value? (a) n (b) -0.081 (c) -2 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -8, 5 in increasing order.\nAnswer: -8, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1059 times -4\nAnswer: 0.4236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2297 and -6890\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -313 or -4714\/15?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16465.8 rounded to the nearest one hundred?\nAnswer: -16500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1110100011101010000101 (base 2) to base 10\nAnswer: -3816069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/3 - -8\/21. Let v = -9 - -13. Let a = 4 + -6. What is the third smallest value in a, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1088 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*x + 2 = -j, -48 = -4*j - 2*x. Is 13 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c50932b0 + 3?\nAnswer: -c50932aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*h - 16*h. Solve -3*u - 2*u + 2*d - 9 = h, -4*u = -2*d + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0811 - -0.1189. Let q be -4 - (-1 + 4 + -3). Sort q, 1, t, -10\/17 in increasing order.\nAnswer: q, -10\/17, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6266147\/23 greater than or equal to -272442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94 - -32. Let x(v) = 182*v**3 + 2*v**2 + v. Let j be x(-1). Let n = b - j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1c30?\nAnswer: -1c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0702530063 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10875\/8 or 1358?\nAnswer: 10875\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/120*(-10)\/(-26)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 11. Suppose -16 = -n*v + 40. Let q(p) = -p + 9. Calculate the remainder when v is divided by q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1074266 - -4356383\/4. Factor 4563\/2*y**2 + 2 + 117*y + j*y**3.\nAnswer: (39*y + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**30*c**(-1\/46))**(-16\/3) assuming c is positive.\nAnswer: c**(-11032\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 16*r**3\/3 + 2. Let q(u) = -7 + 28 - 21 + 2*u. Determine t(q(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 301339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/39 and -3*(-568)\/540 - -9*9\/(-135).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6366*f**2 + 8*f - 3826.\nAnswer: 12732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:42 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*((-23)\/3)\/(1 + -2). Let t = 20 + d. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**8\/2184 - 358*f**7\/1365 - 178*f**6\/195 + 20*f**2 - 11*f + 1. Solve r(x) = 0.\nAnswer: -356, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x**3 + 34*x**3 - 180*x**3 + 40*x**3 + 34*x**3 + 39*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - v**2 - v**2 + 9*v. Let h be z(-7). Calculate the highest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/325*(268\/(-92) + 5 + 24\/(-276)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i + 4*l = -166, 286 = -5*i - 2*l. Let p = 34 + i. Calculate the remainder when (-16)\/p - 232\/(-3) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1215684*g**5 + g**2 - 2526007*g wrt g?\nAnswer: 72941040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12616 - -12616.0000055596. Round v to seven dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/5 + 73*t\/5 + 372 = 0. Calculate t.\nAnswer: -20, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 5*k. Let c be s(5). What is the remainder when (10 - 4)*(-5)\/(-10) is divided by -3*((-4)\/6 - c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49851119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*n + 3)*(-3 + 2 - 1 + (2 + 1 - 4)*(4 + 1 - 6) - 4 + 3 + 3 - 1 + 0 - 1 - 1 - 8 + 7 + 3 - 5 - 11) in the form r*n + q and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 5*m**2 + 4*m - 5*m)*((0 - 9 + 4)*(27*m - 13*m + 50*m) - 3*m - 3 + 3) to u*m + i + w*m**2 + n*m**3 and give n.\nAnswer: -1615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*g + u - 13 - 166, -4*u + 18 + 14 = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*m**2 - 328*m**2 - 306*m**2.\nAnswer: -730*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403001 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(76))*5)**2 + (sqrt(76)*1 + sqrt(76))**2*-6 + -3.\nAnswer: -200*sqrt(19) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - -0.7. Let x = 12\/41 - 190\/369. Let n = 8 + -7.7. Which is the nearest to -1\/4? (a) x (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 28*o**3 - 16 - 48*o**3 + 22*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83594.3 + 83594. Let a be (2\/(-15))\/((-8)\/10). Put 2\/11, 3\/5, w, a in decreasing order.\nAnswer: 3\/5, 2\/11, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t = 22*t + 25866. Let j = t + -914. Solve j + 1 = 9*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180.46 + -181. Let v = m - -0.539994. What is v rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2165 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 5. Let d = 57 - 80. Let z = d - -31. Let f(o) = -o**2 + 6*o + 11. Let y be f(z). Give c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -2 + (16 + -13 - (-4 - 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 69 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71d652 + -1?\nAnswer: -71d653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2181? (a) 4 (b) 1\/22 (c) -2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10d2 (base 16) to base 11\nAnswer: 3265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4\/3 - 185278*b**3\/3 + 2855345207*b**2 + 1477471619300*b\/3 + 63590257922500\/3 = 0?\nAnswer: -86, 92725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -47860, -2 in increasing order.\nAnswer: -47860, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -124 times 0.0707\nAnswer: -8.7668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3*v + 5*q + 31, 3*v - q = -9. Let j be (-6)\/v*40\/30. Solve 5*x + 10 = 3*d, -j*d - 12 - 18 = 4*x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7 + o**2 - 5 - 2. Let j(v) be the first derivative of 0*v - 1\/2*v**2 + 1. Calculate k(j(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2752 = -f - 2*f - 6*d + 2740, 3*f - 2*d + 12 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 235147*w + 1410828. Determine g(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.83 and -1489?\nAnswer: 2724.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3178.4621 - -8.\nAnswer: -3170.4621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 18*n + 16. Let u be k(-7). Let z = u - -141. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.212 - 0.16. Let b = l - -0.048. What is the biggest value in b, -2, -1, -2\/35?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51\/(-6) + (-4)\/(-8). Let i = m + 8. Suppose 0 = 2*h + 6, -2*y + 3*h + 17 = 2*y. Which is greater: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 81180, -7, -1\/8?\nAnswer: 81180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2. Let a(d) = d + 6. Determine -2*a(r) - 5*g(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6159040, -12318082, -18477124?\nAnswer: -24636166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 26*c**2 - 11*c - 181. Give d(-25).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w + 6. Suppose 4*a = 2*a + w. Solve a*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o + 145. Let g be x(-9). Let h(p) = 1 - 2*p + 2 + 2. Let c(r) = -3*r + 8. What is g*h(v) + 5*c(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*c*f*r**2 + c*f*r + 38*c*r - 2*c wrt r.\nAnswer: 122*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 37*s**2 - 30*s**2 + 11*s**2 + 14 + 3*s. Is j(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 4*x**2 - x - 3. Let q be c(-4). Suppose 5 = -2*m - q. List the prime factors of 4 + m + (-2 - -7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8662411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 299 + 2131. What is the greatest common factor of s and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 5:58 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 0.31816.\nAnswer: 11.31816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.00095 + 0.49905. Let y = 3.01 - 0.01. Which is the third smallest value? (a) y (b) -21 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -2*a - 4 - 4, -6 = 2*a - 4*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o - 12 = -43*o. Which is the smallest value? (a) 0 (b) 2 (c) o (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 times 1939.8?\nAnswer: -428695.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(5\/7)*p*p)\/(p**(1\/18)*p) assuming p is positive.\nAnswer: p**(461\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-3))\/(76\/(-114)) - -57. Calculate the greatest common factor of j and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263809 (base 10) in base 8?\nAnswer: 4644301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(450)*6)\/(sqrt(30)\/sqrt(192)).\nAnswer: -288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b + -2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 523*d - 37653. What is p(72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + n**2 + 2*n**2 - n**2 + 3*n**2 - 3*n**2 + (3 - 2 + 1)*(-2*n**2 + 5*n**2 - 2*n**2).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 1 (b) -9017 (c) -1352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*l + 4. Let m(i) = i**2 - 9*i + 5. Suppose -r = 5*b - 34, -3*r + 2 + 20 = -b. Let y be m(r). Solve g - l = 2*j - g, j = -g + y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/s**(-4\/25)))*s*s**(-2\/131) assuming s is positive.\nAnswer: s**(7024\/3275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 - -103?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 4:16 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 2*v. Let f be l(2). Suppose r = -4*z + 11, 4*z - 2*r - 10 = -f*r. Solve 2*m - 5*m + 12 = 3*c, 14 = z*c + 4*m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -67*h + 245 - 172 + 57*h. Give r(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(176) + 1)*-5*6 + sqrt(176)*2*-5*1)*2)**2.\nAnswer: 38400*sqrt(11) + 1130000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 4*z**2 - 3*z**2 - 3*z**2 - 2*z**2 + 12*z**2 + 0*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 1, q: 2}. What is prob of sequence mm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 78 + 47 = 5*j, 0 = 2*h + 3*j - 50. Let y be 0\/5 - h*-1. Let m = -22 + y. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.73 + -0.27. Let b = 8.00000655 + s. Round b to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -2845, -1, -5, 0, 3 in descending order.\nAnswer: 3, 0, -1, -5, -10, -2845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 132, 187, 222, 231?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*-14 - (10 + -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6313\/9 + -701. Let j = -1.97 - 0.03. Does w = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40830705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2932858012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 4*t - 4*t - t. Let m(o) = -o. Determine m(p(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 16) in base 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/20)\/(770\/(-112))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 15*o - 1. Let i be (3 - 1)*(-1)\/1. Let f(y) = y**3 + 5*y**2 - 2. Calculate the remainder when q(2) is divided by f(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.4, -1\/3, -153, -3\/259 in decreasing order.\nAnswer: 0.4, -0.01, -3\/259, -1\/3, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7413\/335 (b) 0.11 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/9 and 81\/314044?\nAnswer: 2826396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000032 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(72)*-5) + 1 + ((sqrt(85)\/sqrt(5) - sqrt(17)) + -5 - sqrt(17))**2 + sqrt(17).\nAnswer: 43 + 164*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 3*l - 1. Let g be w(3). Let p be (-3060)\/13209 + 2 + (-228)\/111. Which is the second smallest value? (a) 0.5 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 18*r + 198. List the prime factors of u(21).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606 at least 940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102212212 (base 3) in base 13?\nAnswer: -cb96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2\/4 + 511177*n\/4 - 170393\/2 = 0. Calculate n.\nAnswer: -170393, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1221356.\nAnswer: 2442712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 468 - 809. Let d = o - -612. Let f = d - 271.0000203. What is f rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*t + 209*t**2 - 154*t - 426*t**2 + 218*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of z**4 + 1296968*z**2 - 22682206?\nAnswer: 4*z**3 + 2593936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by (2 + -42)*1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2 + (-3834)\/(-36) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*d - z + 3*z, 34 = 3*d + z. Suppose 4 = -3*f + 5*k, -2*f + d = 3*f + k. What is the highest common divisor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -426159 smaller than -426163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(240\/93)*(3 + 2). Calculate the greatest common factor of 3875 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 271, 261, 285, 343, 435?\n\"Answer: 17*i**2 - 61*i + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22293*c + 10591 wrt c.\nAnswer: -22293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 3*f - 6*f + 0*f + 0*f + 2*f + (0*f - 3*f + 5*f)*(-1 - 1 + 0) - 2*f + 4*f - 5*f + (18 - 8 + 1)*(6*f + 2*f + 0*f).\nAnswer: 82*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1783 - 2557. List the prime factors of (-1)\/((-21)\/70)*t\/(-4).\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58707469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 19447*i**2 + 29*i + 26. List the prime factors of w(-1).\nAnswer: 2, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, s: 3, u: 5}. Give prob of picking 3 s and 1 w.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -72*z + 40. Let y(g) be the first derivative of -g**2 + g + 38. Let n(s) = -d(s) + 40*y(s). Let v(o) = -2*o. Give n(v(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(972) - ((sqrt(972)*-1 - sqrt(972)) + sqrt(972) - sqrt(972)) - sqrt(972)))\/(sqrt(44)\/(sqrt(11)*-1*4)))**2.\nAnswer: 559872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3236, -5\/6, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 5) to base 6\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 73, 128, 183, 238, 293, 348?\n\"Answer: 55*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.04 - 6.04. Let r = 2.7 - 3. Let z = 0.4 - 0.5. What is the closest to z in s, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 19*u**2 - 15*u - 11. Is y(31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.3, 3\/5, -1, -3799, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w + 0*w - 130 - 81*w**2 - 83*w**2 - 2*w + 161*w**2 in the form j*w**2 + z*w + i and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 44 (c) 108 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1053)*-2 + sqrt(1053))*-6.\nAnswer: -108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (7 - (-1 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 + 200*r - 790. Determine z(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16262*0.115\nAnswer: 1870.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -96*l**2 - 9*l + 4. Let x(p) = p**2 + 2*p - 1. Calculate -t(g) - 3*x(g).\nAnswer: 93*g**2 + 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -30 - 4*l - l + 34. Let k be n(1). Which is the nearest to 1\/5? (a) 0.4 (b) k (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -23*z + 17 + 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -118? (a) 3 (b) -3 (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 1. Let i be w(-1). Let p be -2 + i\/2 - -2. Suppose 3*n = 3*z - 0*z - 30, p = n - 1. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a kilogram in grams?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2 = -4. Let v be (2\/12)\/(-9 - 187\/(-22)). Which is the closest to 2? (a) f (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3\/14)*l)\/l)\/l**(-10))\/(l**28\/l**(-20)) assuming l is positive.\nAnswer: l**(-535\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/1940)\/(5\/(-21975)*6) + 3?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16631037 - -26731037. Suppose -42*y = -41*y - z. Round y to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4 + 13)*(7*q + 12*q - 837 - 2*q - 18*q).\nAnswer: q + 837","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (523 - 265 - 258 + 1923*h**2)*(1 + 3 + 0) in the form w*h + s*h**2 + v and give s.\nAnswer: 7692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjcjcjcjc. Give prob of picking 2 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**2 - w**3 - 5 + 2*w**3 + 14 + 9*w. What is f(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1*(5 - 8). Suppose p*v - 651 = -0*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 236, 257, 278?\n\"Answer: 21*z + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1600003*w - 12. Let s(b) = -400001*b - 3. Let q(c) = 2*r(c) - 9*s(c). Let y be q(-1). Round y to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -487*x + 489 - 494*x + 981*x + 3*x**2 to q*x**2 + d + m*x and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + 1 - (-23 + 20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 5*z**3 - 250*z**2 + 240*z.\nAnswer: 5*z*(z - 6)*(z - 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (11 - (18 - 16))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 - -208 - ((-186)\/20)\/(-3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 2:57 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25114958 divided by -6.\nAnswer: 12557479\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 4*h - 4 + 14, -3*h - 9 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -232 + 100 + 78 - -89?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120 - -121022?\nAnswer: 102202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450315?\nAnswer: 3, 5, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 + -1.4. Let u = 1191 + -1184. What is the biggest value in i, u, -0.4, -0.05?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 1272713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m - 1. Let o be k(1). Let a = o - -1. Let t = 37 - 26. What is the remainder when t is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Let r = -22 + 24. Suppose 3*o - r = 4. Solve -o*f + 25 = u*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13 (b) 0.1173 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 1002028*u + 1004060112784.\nAnswer: (u + 2004056)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 539.7000013566 - 539.7. Round r to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/15 - b**4 - 7*b**3\/3 - 109*b**2. Is v(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -125, -9, -6\/5, 0.57, -0.4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -131, 364, 1189, 2344, 3829?\n\"Answer: 165*d**2 - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 15, 42, 87, 156, 255, 390, 567?\n\"Answer: m**3 + 8*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 39. Suppose -6 = -f - 2*d, -3*f + d + 12 - 1 = 0. Suppose -2*z = -f*z + q. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45.82, 11, 0.5 in decreasing order.\nAnswer: 11, 0.5, -45.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2 + 6*n - 6. Let m(o) = -12*o**2 - 5*o + 5. Suppose -2*y - 2*b + 7 = y, -4*y + 2*b + 28 = 0. Determine y*l(z) + 6*m(z).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 5*r + 3*d, 12 = 3*r - 3*d - 48. Suppose 15 + r = 18*l. Solve 2*o = 0, q + 5*o - l = -0*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - o - 2, -c = -2*o + 3*o - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 411 or 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:32 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (1728\/42)\/9. What is the second smallest value in v, -5\/8, -4?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1329\/8? (a) -0.4 (b) -1 (c) -255\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oooooooouoooo.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 1554324423?\nAnswer: -1554324435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/7))**(9\/8)\/(n**(5\/4)\/(n\/(n\/(((n*n**1)\/n)\/n*n)))))\/((n*n**3)\/(n\/(n\/(n\/n**(-3)))*n)*(n**(-1\/4))**(-29)) assuming n is positive.\nAnswer: n**(-283\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:59 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -2 + 0*v - 2\/3*v**3 + 0*v**2. Let i(z) = 15*z. Let j(h) = -8*h. Let d(a) = 6*i(a) + 11*j(a). Calculate l(d(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 228 = 5*d + 497, -5*d + 403 = 3*m. List the prime factors of m.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12313 = -n + 5*q, 3*q = -3*n - 20137 + 57094. Is 3\/(-2)*n\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*u + 24*u + 25*u + 2779*u**3 + 32*u to the form b*u**2 + q + p*u + z*u**3 and give z.\nAnswer: 2779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -2*u**5\/5 - 11*u**3\/2 + 16*u**2. What is the first derivative of i(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1192 divided by 298\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*w - 388*w + 5 - 495*w + 1385*w.\nAnswer: 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 1298?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.775842 hours in milliseconds?\nAnswer: 31593031.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i - i + 4 - 20*i - 1.\nAnswer: -25*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 276, -12, 3, 1 in decreasing order.\nAnswer: 276, 3, 1, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -634 - -631.36. Let l = 3.74 + f. Which is the smallest value? (a) -9 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 95*u**2 - 130*u - 70. Let k(g) = 8*g**2 - 11*g - 6. Let r(p) = -3*j(p) + 35*k(p). Determine w so that r(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1820 - 5?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 3*m + 490. Calculate n(-23).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -32*r - 51. Suppose -7*g - 24 - 18 = 0. Is y(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z + 129. Let m be v(11). Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -9, -6, -1, 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2. Let m(s) be the third derivative of s**4\/12 - s**3\/2 - s**2 - 4*s. Calculate n(m(u)).\nAnswer: -16*u**2 + 48*u - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 101087200 to the nearest one hundred thousand.\nAnswer: 101100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 2*q - 1. What is the tens digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3*y**2 + 45*s**3*y + 29*s*y**3 + 5*s*y + 8*y**3 wrt y.\nAnswer: 4*s**3 + 174*s*y + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 569052085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 2*z + 1. Let i(l) = -2 + l + 19 - 3*l**2 - l + 6*l. Let y(c) = i(c) - 2*w(c). Solve y(s) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1 + (-4)\/(-8)). Let r(v) = 1. Let b(g) = -2*g. Calculate f*r(s) + b(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -9. Let h(a) = -7*a - 1. Calculate the lowest common multiple of h(-3) and l.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**4 + 2976*x**3 + 18153*x**2 - 187446*x - 1173648 = 0.\nAnswer: -7, 8, 998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -558?\nAnswer: 1\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 243.924 - 243. Let f = 87.024 - q. What is f rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**6\/8 + 13*x**5\/40 + x**4\/4 - 59*x**3 + 55. Let a(l) be the third derivative of g(l). Factor a(r).\nAnswer: -3*(r - 1)*(15*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-3*u + 3*u - 5*u + (-3*u + 3*u + 2*u)*(-3 - 2 + 3) + 0 + 0 + 5*u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -14, 0.5, 0.7, -4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqp when three letters picked without replacement from pjrprqqrj.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 77. Let c be q(-19). Let j = -6 + 10. Suppose -3*o = 4*y - 82 - 26, j*y - 3*o = 84. Solve 4*i + c = 4*t, 0 = t + 3*t - 5*i - y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0.3, -1\/5 in descending order.\nAnswer: 0.3, -1\/5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4, -2286405, 1\/5 in descending order.\nAnswer: 1\/5, -0.3, -4, -2286405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734941907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 496 - 505. Let o(k) = 4*k**3 + 3*k + 2. Let w(r) = r**2 - 4*r**3 - 17*r**3 - 9 + 4*r**3 - 12*r. What is b*o(j) - 2*w(j)?\nAnswer: -2*j**3 - 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 + g + 1. Let f be m(-1). Suppose 0*h = -2*h. Suppose h*p + p = f. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -34*g**2. Let s(t) = 77*t**2 - 44*t - 66. Let r(m) = -11*m**2 + 6*m + 9. Let i(y) = 22*r(y) + 3*s(y). Calculate b(i(q)).\nAnswer: -4114*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-3 - -9) - 2. Let i be 24\/h - (-9)\/(-3). Solve -s + i*s + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 2)*(-16 + 527*n + 34 - 18) as q*n + m and give q.\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 0. Suppose w + 0 - 3 = 0. Solve -2*b - x + w = 0, 2*x = 7*b - 2*b + s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37117851 or -37117845?\nAnswer: -37117851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(20)\/sqrt(4)).\nAnswer: 6*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 635, 648, 675, 722, 795, 900?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 - 1. Let j = -1 + 3. Let a(q) = -q**4 + 12*q**3 + 12*q**2 - q - 11. Let f(w) = j*a(w) - 22*o(w). Factor f(u).\nAnswer: -2*u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7*15\/(-6) - 1\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13296 - 11075.8. What is k rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18810826 divided by -408931.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -173, -355, -527, -683, -817?\n\"Answer: q**3 - q**2 - 186*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6*45\/20. Suppose -n - 35 = -3*h - 6*n, 0 = 4*h - 4*n - 4. Solve -h*i + y - 3 = -x, -2*i = 4*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**5\/60 - w**3\/3 - 56*w - 195. Let r(g) be the third derivative of l(g). Let h(v) = -25*v**2 + 4*v. What is r(h(b))?\nAnswer: 50*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -14 + 7 - (7 - 3 - 36)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 874*z - 5242. Let j be w(6). Let k(p) be the first derivative of -4\/5*p + 26 - 4\/5*p**j + 1\/3*p**3. Suppose k(r) = 0. What is r?\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 8:28 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 301.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1 (c) 2.2 (d) -3 (e) 1 (f) 1158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 36275051?\nAnswer: 36275051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 - 126. Let v be (z\/(-4))\/((-170)\/(-60) + -3). Let y(k) = k - 6. Give y(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1871 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**3 - 2214 + 2279 - 14*t**3.\nAnswer: -t**3 + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*w**3 + 268*w**2 + 324*w**2 - 592*w**2 + 182*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 3, -1251, 26, -1 in descending order.\nAnswer: 26, 3, -1, -20, -1251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 4, b: 2, i: 2}. What is prob of sequence rrb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101010 (base 2) in base 8?\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46506 or -46505?\nAnswer: -46506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, l: 2, t: 5, d: 9}. Give prob of picking 2 d, 1 l, and 1 f.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 + 7*j**2 - 3*j - 5. Let f be o(4). Let w = f + 76. Let u be (-7)\/w + (-2)\/42. Which is greater: u or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12993 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -504?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -54296048 divided by 480496\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70\/4*(-782)\/(-115)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14878 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 + 4*h**2 + 43*h - 32. Let a(u) = -3*u**3 + 3*u**2 + 42*u - 33. Let n(o) = -4*a(o) + 3*k(o). Solve n(w) = 0 for w.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -21182 divided by 238\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*q - 322*q**2 - 4*q + 18*q**5 + 31*q**5 + 28*q wrt q?\nAnswer: 2940*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.4, 2884, 0.5, 24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -816*a + 3294. What is the lowest common multiple of x(4) and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 14*z**2 - 25*z + 4. Let x be j(12). Let b = x + 12. Suppose 0*k + 2*f = k - 20, k = b*f + 16. What is the highest common factor of k and 240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41903*m**3 + 6*m**2 - 1512 wrt m.\nAnswer: 251418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.225 + 0.225. Let z = -11.2 - -11. Which is the nearest to 1? (a) w (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58\/5 - -12. Which is the closest to 1? (a) -22 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 9, 4183, 13.83?\nAnswer: 4183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30444 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:12 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 14\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 12:48 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -181234755 - -715.55?\nAnswer: -181234039.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0*(-3)\/(-15))\/(-1). What is the closest to t in -1\/2, 1\/5, -1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 7:08 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -174?\nAnswer: -4176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, s: 2, n: 7}. Give prob of picking 2 n and 2 d.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-2)\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 4*s**5\/15 + 11*s**4\/6 + 34*s**3\/9 + 2*s**2 - 30. Determine u, given that d(u) = 0.\nAnswer: -3, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/7 - 22*j**4\/7 - 6848*j**3\/7 + 64192*j**2\/7 + 591360*j + 29551104\/7 = 0. Calculate j.\nAnswer: -53, -12, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 43.5. Put c, 0.2, -9, 5 in descending order.\nAnswer: 5, c, 0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6, n + 92 = 5*p - 140. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, and 1 f when three letters picked without replacement from {s: 1, v: 1, f: 1, a: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 4*n + 2*t + 731 = 4*t + 623, -9*n - t + 243 = 0 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f + 4*f**2 + 91*f - 63*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -172*u**2 - 14*u + 388. Let b(m) = -85*m**2 - 6*m + 194. Let w(v) = -7*b(v) + 3*o(v). Differentiate w(h) with respect to h.\nAnswer: 158*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/21*973\/2502.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5337555772 - -5337555692.000000112. Let d = y + 80. Round d to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 18. Let f = n - 15. What is the smallest value in 0.4, f, 3, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*d**4 + 2431*d**2 - 5*d + 633887 with respect to d.\nAnswer: -40*d**3 + 4862*d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 224 + -5?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*w**3 - 45*w**2?\nAnswer: -426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/2317 - 136813\/50974. Let a = y - -5\/2. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from iifkifikikkkikiiik.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188.5022759 - 54.502285. Let i = d - 134. Round i to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10325*40671.\nAnswer: -4199.28075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 14*g**2 - 14*g - 3. Let t be y(15). Let a be ((-6)\/(-3))\/(((-32)\/t)\/(-4)). Solve o + a*f + f = 17, -2*f + 31 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 68650*q - 960893. What is n(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5\/7 + 324*a**4\/7 + 6249*a**3\/7 + 2250*a**2 = 0. What is a?\nAnswer: -14, -3, 0, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 74*f. Let w(o) = -1989448*o**2. What is w(l(y))?\nAnswer: -10894217248*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*h + 10. Suppose -g = -p + h - 323, 2*g - 5*p - 611 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11d39 + -1221?\nAnswer: 10b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 35 = -5*c. Let p(w) = w**2 + 6*w - 4. Let t be p(c). Suppose t*f = 2*f - 2*q + 20, 3*q + 30 = f. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**2 - 3*d**2 - 11*d**2 - 14*d**2 as h + f*d**2 + b*d and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -39\/26045?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = -2*d - 2*w, -12 = 3*d - 3*w. Let x be (3 + -3)*1*-1. Let l = 2 + x. Solve -3*k - l + 17 = d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - 4*(-3)\/(-12). What is the remainder when 7\/(56\/20)*(-58)\/f is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 984217.17?\nAnswer: -984212.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 2*v - 2*v)*(-7*v + 5*v - 8*v)*(1 - 2 + 0).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42086\/22956)\/((-3)\/4).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*f = 6, -3*b - f + 6 = -0*f. Suppose 2*s - b*i - 30 = 0, 3*s - 45 = s - i. Solve 0*v = 4*v - s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 20. Let b = z + 21. Suppose -b*y + 2 = 0, -4*d - 3*y = -y - 2318. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 3. Let z(c) = -7*c. Give q(z(v)).\nAnswer: -49*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1065)\/(-426))\/((-50)\/(-16)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2. Let v be (-5 - -3) + 4\/(12\/9). Let q(z) = 23*z - 2. Let y be q(v). Let t(b) = -y*b + 10*b + 16*b + 13*b. Give t(c(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.11 - 104849.\nAnswer: -104850.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14867.\nAnswer: 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4 + t**2 - 5*t**2 + 4. Let b(x) = -85*x**2 + 41*x**2 + 40*x**2. What is b(v(p))?\nAnswer: -64*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9775 (base 10) to base 5\nAnswer: 303100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w - 4*w + 4*w)*(-w + 0 + 0) + 25*w**2 + 21*w**2 - 25*w**2 + (w - 4 + 4)*(-6*w + 4*w + 3*w) + 3 - 3 + 2*w**2 to the form d*w + m + u*w**2 and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-2) + (-32)\/(-1). Differentiate -k - 6*q - 26*q - 36 - 16*q with respect to q.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 15 = -15. Find the common denominator of ((-2476)\/(-496) + b)\/((-3)\/594) and -45\/2.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 3*m**2 - 5*m - 2. Let z be y(4). Let c be ((-2)\/z)\/(220\/(-24)). Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**3 - 71*j**2 - 15*j. Let h be f(12). Is -36 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -41*i - 54. Let x be w(-9). Let a = 209 - x. Let d = 108 + a. Solve -2*m - m - 4*r = d, -m - 3 = -r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**6*r - 122443*f**5*r - 90*f**2*r + 68*f*r + 1 wrt f?\nAnswer: 120*f**3*r - 7346580*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1 + 3 + 2*t + 3*t**2 + 1 - t**2. Let l be n(-6). Calculate the highest common factor of l and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, 244, -3, 4, -5 in ascending order.\nAnswer: -5, -3, 4, 236, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 11. Suppose 2*a = 3*a - 3*w + 14, w = -2*a - 14. What is the units digit of d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 196629866 - 131196417. Let k = -64190206385\/981 + f. Let o = 12\/109 - k. What is the common denominator of 33\/10 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 6*y**3 - 81*y**2 + 2*y**3 + 5*y**3.\nAnswer: 13*y**3 - 81*y**2 + 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**5\/60 + 11*w**4\/24 + 8*w**3\/3 - 26*w**2. Let p be d(12). Suppose -2*v + p*v - 110 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 12 = 9*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = z + 32. Let g = z + 53. Let o(h) = -h**3 + 4*h**2 + 11*h - 7. List the prime factors of o(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - h)*(383*h - 36*h + 214*h).\nAnswer: -561*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -46, -14, 18?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 133*x**2 + 138*x**2 + 8 + 11.\nAnswer: 5*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g = -10. Let a be (-4)\/(0 - 2) - -1. Let q = a - g. What is the biggest value in -1\/6, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/7)\/(3\/6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**3 - 3*c**2 - 2*c + 1. Let g be x(3). Let a be 18\/(-33) - 2107\/(-11). Let t = a - g. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 7239.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 5. Suppose 14*w = -3*x + 9*w + 4, 5 = 3*x + 4*w. Let b be n(x). Sort b, -4\/3, -9 in descending order.\nAnswer: -4\/3, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3698*c**3\/3 - 119540*c**2\/3 + 278472*c + 726192.\nAnswer: 2*(c + 2)*(43*c - 738)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1400*r**2 - 998*r**2 - 1678*r**2 + 915*r**2. Let y(h) = -2*h. Give a(y(n)).\nAnswer: -12644*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3122022 - 2?\nAnswer: -3122030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = t + 2*d + 2, -5*t - 5*d = -10. Let p = -1 + t. Let h be (-2)\/2 + (-68)\/(-17). Solve -2*i - 8 + p = -s, -11 = h*s + i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 36*w - 1. Let n be r(1). Suppose -352 = 31*c - n*c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**3 - 7*a. Let t(s) = 3. Let y(p) = -p + 4. Let h(r) = -4*t(r) + 3*y(r). Determine w(h(o)).\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903233 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - ((-747)\/(-18) - 24))*(-18)\/105.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 813.\nAnswer: 8943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - 2*l**4 - 2*l**2 - 2*l - l**4 + 1 + 0 to the form u*l**4 + j*l**2 + b*l + k*l**3 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102 - 14. Calculate the greatest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-12)\/4 + 2)*7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6222 - -6221.5. Which is the closest to -1? (a) -1\/6 (b) -0.4 (c) -1.87 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 3 = -67 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19943861 to the nearest integer?\nAnswer: 4466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*m + 19, 4*s = 4*m - 2*m + 14. Let h = -6 - -9. What is the second derivative of -8*w**5 + 14*w**5 + 4*w - s*w**3 + 5*w**h wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (498\/(-415))\/(4\/5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 69.551?\nAnswer: 74.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 317 - 60 = -1391. Let t be (-120)\/63*-18*3. Let b = p + t. What is the closest to 1 in 2\/3, 2, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = 5*u - 11, 21 = 3*u + 4*z. Suppose 2*p - s - 72 = -0*s, -4*p + 146 = -u*s. What is the remainder when 139 is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 6*v**2 + 11*v - 4. Let o be r(3). Find the common denominator of (180\/56 - o)*-6 - -2 and 19\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11641*b**3*u + 460*b**3 + 13206*b**2*u - 83*b**2 wrt b.\nAnswer: -69846*u + 2760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 370 and 5254?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 < -24231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-10))\/(16\/(-30)))\/(-1) + 3550\/(-3400)?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -2. Is ((-83)\/i)\/((-5)\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -676726 divided by -2\nAnswer: 338363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*r**3\/5 - 6916896*r**2\/5 - 22474842*r - 91297180.\nAnswer: -2*(r + 54022)*(8*r + 65)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*2*-3)\/((sqrt(7) - sqrt(112)*-2)*-2) + -2.\nAnswer: -2 - sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2032 + 1074. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/c**32))*c)\/c)\/c)\/c**9 assuming c is positive.\nAnswer: c**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.7 - -18.7. Suppose -4 = t - 2. What is the second biggest value in -1\/5, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16237 (base 15) in base 7?\nAnswer: 415045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 154092589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = -o. Let h be o\/(-4) - 25\/4. Let l(f) = f**2 - 7*f + 6. Let t be (2 - 3)\/((-1)\/(-11)). Let x(n) = -2*n**2 + 13*n - 11. Give h*x(d) + t*l(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672591 is divided by 980?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 - ((-5)\/1*1 - 1563)?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 3*u**5 - 2*u**5 - u**5 - 2*u**3 + 2*u**3 + (-6*u**4 + 2*u**4 - 5*u**4)*(0 - u + 0).\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99803633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*i + 4 = -5, 3*n - 3 = -3*i. Let y = -55 + 36. Let t = -20 - y. Which is the nearest to n? (a) t (b) 0 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 42*o**2 - 38*o - 14. Does 10 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -200a562 + 0?\nAnswer: -200a562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3388, 12, -959 in decreasing order.\nAnswer: 3388, 12, -959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*c**3 + 374*c**3 - 131*c**3.\nAnswer: 78*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20234 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + -10100100?\nAnswer: -11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 53676714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.0033, 4 in descending order.\nAnswer: 6, 4, -0.0033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2604\/(-21) - -160 - 101?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -4, 7, 32, 77?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 42*o = 57 + 1. Solve -t + o = 2*r, -8*r - t = -4*r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*v**3 + 11033 - 11033 + (-1 + 3 + 0)*(2*v**3 + 3*v - 3*v) + 0*v**2 + 0*v**3 + 4*v**2 - v**3 + v**3 - 5*v**3 + 12*v**3.\nAnswer: -137*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 213*-60668\nAnswer: -12922284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/14 (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*m + 3 + 336*m - 172*m.\nAnswer: -9*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/3606 + 920\/1803. Let x = 0.1 + -0.18. Which is the fourth smallest value? (a) -0.2 (b) w (c) x (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*v - 44936 = -850*v - 83*v for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*f**3 + 3*f**5 - 2*f**6 - 3*f**5 - 1100 - 4*f**6 - 191*f**2 + 1098 wrt f.\nAnswer: -720*f**3 - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2668397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 765137, 8 in descending order.\nAnswer: 765137, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2852858576 - -0.212.\nAnswer: -2852858575.788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6912111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-18)*2\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3155 to the nearest 10.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/9 + (-8)\/8. Suppose -21*p + 73 - 367 = 0. Let h = -240\/17 - p. Which is the fourth biggest value? (a) 2 (b) -0.1 (c) y (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -15*q**2. Let d(l) = 10*l**2 - 2*l + 12525. Give d(t(n)).\nAnswer: 2250*n**4 + 30*n**2 + 12525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) + 1 + 3 + sqrt(11))**2 - (sqrt(539) + -5))*-6.\nAnswer: -390 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588459.\nAnswer: 3, 53, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2 + 4*b - 2*b)*(-b**3 + 0 + 0).\nAnswer: -2*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-30789502)\/(-742) + 5\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1237 and -3.\nAnswer: -2.8763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6899 divide 232441108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919, -936, -969, -1018, -1083?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 116328*f**2 - 1125470151*f + 42936007986.\nAnswer: -3*(f - 38)*(f + 19407)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d + 2*d)*(-11 + 3 - 41) - 4 + 2*d + 4 + (4 + 0 + 2)*(-2 - d + 2).\nAnswer: -102*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3)\/(-6))\/((-2)\/(-632))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 3*x, -5*x + 122 - 90 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-221)\/(-4) + 1\/(-4). Let x be 2 + f\/20 + 2\/8. Suppose x*k + 705 = 2*n + 256, -k = -4*n + 943. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = v - 5, -4*v = s + 5 - 0. Which is the fourth biggest value? (a) -1\/2 (b) -2\/9 (c) 0.13 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 31880*t - 4549248.\nAnswer: -2*(t - 15796)*(t - 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i + i**2 - 45 + 86 - 42. Let u be h(8). Solve -u*w = -3*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1104 + -8?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from dgg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97340 and 14220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 3. Let l(d) = d + 2. Let n be -4*225\/(-50)*(-1)\/(-6). Let j = 6 - 4. Suppose -1 = j*a + n. Give a*m(b) - 3*l(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 0*u - 2\/3*u**3 + 3 + 1\/8*u**4 + 0*u**5 + 0*u**2 - 1\/360*u**6. Let b(m) be the third derivative of c(m). What is b(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2957\/19 or 157?\nAnswer: 2957\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1134 * -13.72.\nAnswer: -15558.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100110 - 101111?\nAnswer: 1110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06463, 2, -8, 9?\nAnswer: 0.06463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 154.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163446160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 5*r + 5. Let h be 5*1\/(-4) - r. Which is smaller: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*z + 41. Let i = -29 - z. Let s(w) = w**2 - 6*w - 4. Let g be s(7). Calculate the highest common factor of i and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2 = 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/12 and -51\/43.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 16*a = 9. Let d be (-4 - -3) + 0\/(a - 5). Which is bigger: d or -7\/16?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*480\/1260*19\/8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 2*m**2 - 2*m. Let k(h) = h + 1. Let o be k(-4). Let l(r) = 2*r**3 + 3*r**2 - 2*r. Give o*p(d) + 2*l(d).\nAnswer: d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7347397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5 - 49*t**4 + 322*t**3 - 440*t**2 = 0. Calculate t.\nAnswer: -55, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*f + 56, h - 1 - 20 = -3*f. Let a be (-8)\/20 - (-2976)\/h. What is the greatest common factor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 1 + 2*v**3 + 2*v**2 - 3 + 2. Let r(f) = -2*f**3 - 4*f**2 + 3. Let s(x) = -2*r(x) - 3*z(x). What is the third derivative of s(t) wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 13064?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f - 5. Let g be ((-27)\/(f + -2))\/1. Let z(p) = 6*p - 23. Let j be z(4). Solve -2*y + g = j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 0*z**2 + 0 + 0*z**4 - z**3 - 3\/10*z**5 + 6*z. What is the second derivative of k(q) wrt q?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -28*u**4 + 29*u**3 + 57*u**2 - 4*u - 4 = 0?\nAnswer: -1, -1\/4, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 0*x**4 + 0*x**5 + 0*x - 13\/120*x**6 - 14*x**2 + 0 + 11\/3*x**3. What is the derivative of a(o) wrt o?\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 10.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/3 - 7*u**4 + 30*u**3 + 400*u**2\/3 - 288*u - 768 = 0. What is u?\nAnswer: -24, -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**2 + 6*q + 11. Let a(o) = 13*o**2 - 13*o - 26. Let n(z) = -4*a(z) - 9*m(z). Let f(l) = 3*l**2 - 5*l + 11. Calculate -2*f(h) + 5*n(h).\nAnswer: 4*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1473 divide 271055122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, i: 5}. What is prob of sequence iiii?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23610 and 8?\nAnswer: 94440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**2 - 9*t - 3. What is d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + -2) - (-13 + (-11 - -18) - -14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.066 - -0.334. Let m be 4\/(-6)*(-6)\/(-8). Is j greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/10 - 23*l**3\/15 - 17*l**2\/10 + 42*l\/5 - 1790. Find w such that x(w) = 0.\nAnswer: -21\/2, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702 = 2*r - o, -2*r - 5*o - 294 = -984. Let c = r + -325. Solve 3*m = 2*f - 6*f + 32, -5*m = f - c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 106, 1, -887 in decreasing order.\nAnswer: 106, 1, -10, -887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let x(k) = 2*k + 1. Let g(a) = 3*a - 19. Let z(m) = -g(m) + 2*x(m). What is -r(l) - z(l)?\nAnswer: -2*l - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18925 divided by -3785\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2755\/252 - 303\/28. Sort -1, 342, f.\nAnswer: -1, f, 342","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.198 and -37338.6.\nAnswer: -37338.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-822)\/((-6)\/2). Suppose 21*w + 10*w - o = 0. Calculate the highest common factor of w and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 5*d = 5*n - 11, -3*d + 7 = 4*n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 6537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/46 in -2\/9, 2, -4, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 246 = 78*v, -4*v - 2124 = -2*j - 2104 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 11) + 89 + 5 + -40\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3)*c)**(-2\/63)*(c**3)**(-4\/5) assuming c is positive.\nAnswer: c**(-2288\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzg when three letters picked without replacement from {r: 3, g: 2, l: 2, z: 11, i: 1}.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.027 + -0.847. Let f = r - 0.08. Let v = f + 0.4. Which is the second smallest value? (a) v (b) 1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:05 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(sqrt(1872) + -3)*2*-6.\nAnswer: -432*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 48*g**2 + 17*g - 199. What is the hundreds digit of f(-46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -8*z + 10*z. Suppose 7*o - z*o = 24. Calculate the lowest common multiple of o and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 159, 22\/9, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/35, -1\/5, 66.813?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Let l = k + -5. Solve -y - 2 + 1 = l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 10, 1 in decreasing order.\nAnswer: 62, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 520479831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - 2) + -30 + -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20437 is divided by 5100.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -248, -984, -2196, -3872, -6000, -8568, -11564?\n\"Answer: 2*l**3 - 250*l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31025\/71 + -437. Is w < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/13 - 720*r**2\/13 - 9702*r\/13 + 223560\/13 = 0 for r.\nAnswer: -345, -27, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1836*m + 1836*m - 68*m**2 in the form a + z*m**2 + c*m and give z.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*d = 111*d + 141*d - 2675540. What are the prime factors of d?\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/11)\/m)\/m**(1\/20))\/(m*m\/m**13*m**(-4\/9)) assuming m is positive.\nAnswer: m**(22921\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3437 + 3441. Put -9, -1, 21, s in descending order.\nAnswer: 21, s, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 8, k: 6, e: 1}. What is prob of sequence kken?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 27885383\nAnswer: -5577076.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 959366.2um in millimeters?\nAnswer: 959.3662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Let t be 2\/4 + v\/2. Suppose -14*a + 17*a - 9 = 0. Calculate the greatest common divisor of t and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -603\/2? (a) -0.5 (b) 0.05 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*k + 4 - 6, 2*n - 31 = k. Let r(f) = -2*f - 5. Let i be r(-4). Suppose i*b = 36 - 9. What is the remainder when n is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 112*h**2 - 2605*h - 111. Give z(33).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19793243*i**2 - 203*i - 64695 wrt i.\nAnswer: 39586486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3320*j**5 - 39855*j**4 - 139620*j**3 - 67030*j**2 + 248700*j + 1125 = 0.\nAnswer: -5, -3, -3\/664, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 40, 23, -10, -65, -148?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6.3 (b) 29 (c) 1 (d) -0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 2*g**2 - 3*g - 1. Let p be s(-2). Let t = 41 + 1. Suppose 5*n = u - 0*n + 10, 0 = p*u - 2*n - t. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (-9 - (7 + (-6 - 3))) + 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((g\/(g\/(g**1*g)))\/g)\/g)**(2\/11))**(13\/6))**2)**5 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 534, 1955, 4332, 7671, 11978, 17259, 23520, 30767?\n\"Answer: a**3 + 472*a**2 - 2*a + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*f**4 - 124*f**4 + 6986 + 2*f**3 - 4*f**3 - 6959 - 4*f**2 in the form w + z*f**4 + u*f**2 + t*f + n*f**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -21. Suppose -20 = -5*y - 0. Is (-16)\/q*(-6)\/y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 5, -2, -876, 1\/8, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 5*t + 4\/3*t**3 - 3 + 0*t**2. What is the first derivative of o(r) wrt r?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1335842*w. Let o(j) = j + 51. Give o(h(z)).\nAnswer: 1335842*z + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100010000100010110000111010 - 11?\nAnswer: 1100010000100010110000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/(-15))\/((21\/10)\/(-7)). Calculate the greatest common divisor of y and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 3. Suppose 20 = -3*u + 8*u. Let g be t(u). Let m = g - 4. What is the third smallest value in m, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1441 = m + 3*f + 2*f, f = -4*m + 5821. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -94, 74\/33, -5?\nAnswer: 74\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -39. Let v(h) be the third derivative of -6*h**w - 1\/20*h**5 - 2\/3*h**3 + 0*h + 0*h**4 + 0. What is the first derivative of v(l) wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-27) + (-30396)\/1836.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h. Let s = 69 - 69. Let j(f) be the third derivative of 0*f**3 + f**2 + 0*f**4 - 1\/30*f**5 + s + 0*f. Calculate z(j(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790*l**3 + 15*l + 262*l**3 + 374*l**3 - 1647*l**3.\nAnswer: -1801*l**3 + 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.205 - -0.405. What is the closest to k in -0.3, -2\/3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223480684 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + 0*h - h)*(-7 + 0 + 0)*(2*h**3 + 0*h**3 - h**3) as s*h + f + k*h**4 + m*h**2 + c*h**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 45*v**2 - 189*v + 147.\nAnswer: -3*(v - 7)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 - ((-1 - 35) + (-170 - -198)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3842 + 6665. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m + 4*f - 28, 0 = 2*m - 5*f - 37. Suppose -3*q + 7 = -5. What is the greatest common factor of q and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1210\/((20\/(-180))\/((2\/(-9))\/1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 70.860108\nAnswer: -71.060108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-1\/3)*u**(2\/19)*u*u assuming u is positive.\nAnswer: u**(158\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 90 = -18*z. Put 4, -0.3, z, -0.84 in ascending order.\nAnswer: z, -0.84, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(-21))\/((-3)\/84*4). Sort 4, 0, z, 1 in decreasing order.\nAnswer: 4, z, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(425) + sqrt(17) + 0))**2.\nAnswer: -108*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.761913 millennia in decades?\nAnswer: 76.1913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278\/5 + (-8)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/7)\/(l**(-2\/5)*l))**(1\/15) assuming l is positive.\nAnswer: l**(-16\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 18.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 1\/6, -0.2, 4\/15, 1.\nAnswer: -3\/4, -0.2, 1\/6, 4\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38147 or 23401?\nAnswer: 38147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 586 + 281 = 5*o, o = -4*d + 207. Calculate the greatest common factor of 125 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + (49 - 24) + 4 + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -74. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/18)\/(114\/171)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 21 + 71 = -d - 53, -7*d + 3*d + 80 = -2*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from drcdoydcodxrxxoxxx?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/15272 + -30559\/76360. What is the third smallest value in 2, 0.8, 0.3, u?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3448*r + 6*d = 3451*r + 21, 3*d = -3*r + 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258830736?\nAnswer: 2, 3, 5392307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082029885 a multiple of 1066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqcfccfqcfqfc. Give prob of picking 1 q, 1 f, and 2 c.\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17393, -34788, -52183?\nAnswer: -69578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 370765000 rounded to the nearest one million?\nAnswer: 371000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1904556767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.353 + 2.647. Which is smaller: g or -0.76?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let c(g) be the second derivative of -g**4\/3 + g**3\/2 + 6*g**2 - 5*g. Let l(a) = -c(a) + 5*m(a). Factor l(s).\nAnswer: 4*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:09 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159 - 107. Let w = x + -48. Solve 0 = 4*b, -1 = 4*l - w*b - 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.7175 years in months?\nAnswer: 1364.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= 4.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*f - 30*f - 35 = 37. Which is smaller: 1781 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/85065 and 51\/334589.\nAnswer: 5018835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 2*g**2 - 4*g - 2. Suppose 4*u + 14 = 6*u. Let i(q) = 1 + 3*q**3 + 13*q - 1 + 7 + u*q**2. Determine 2*i(c) + 7*y(c).\nAnswer: -c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0 - 12. Let g(d) = d**2 - 1. Let l(i) = -5*i**2 + 7*i - 11. Let x(n) = z*g(n) - l(n). Is x(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14633840573002.56700022 + 14633715783671.067. Let i = v + 124789334. Let w = i - 2.5. Round w to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 19*i**3 + i - i as m + k*i**3 + z*i**2 + g*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6 - 5 + 11 + 5*w. Let u(i) = -2*i**2. Give c(u(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((36 - 8)\/(-4) - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -33. Let y = -1 + 3. Suppose v - 29 = -4*a + b, 4*v = -y*a + 200. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**5\/10 + 91*y**4\/12 - 38*y**3 - 27*y + 1. What is the second derivative of c(g) wrt g?\nAnswer: -12*g + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/14)*j*j**(3\/4)\/j*(j*j*j**(10\/9))**(-2) assuming j is positive.\nAnswer: j**(-1325\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-8) + 3)*2. Solve 2*g + 0 + 2 = -3*o, j*g + 5*o = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 45. Let n be 1\/(-1) - (-4 + 3). Let d = g - n. What is the greatest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxooooxooooooooooxoo. What is prob of picking 4 o?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 839 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 3*o = -89, -3*y - 40 = -3*o + 29 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1144669, 2289338, 3434007, 4578676, 5723345?\n\"Answer: 1144669*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215473 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/2 + (-351)\/78. Sort a, 2, -5, 10.\nAnswer: -5, a, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 3, e: 1, j: 2, x: 1}. Give prob of sequence xssa.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -66*y**2 - 465*y - 19. Give d(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6822*m**6*y**2 + 2*m**2*y**2 + 50*m**2*y + 26 wrt m.\nAnswer: 818640*m**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/40)\/(-1*(-1)\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 1:12 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**3 + 11*r**2 - 2*r - 2. Let o(s) = -46*s**3 + 55*s**2 - 11*s - 11. Let y(f) = -22*h(f) + 4*o(f). Find the third derivative of y(c) wrt c.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3111 is divided by 100?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 16865126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*o - 39*o + 17*o**2 + (-2*o + 3*o + 0*o)*(o + 3*o - 7*o).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(4\/3))\/(w**(-2\/13)*w))**(-4\/19)*((((w*(w*w**1)\/w)\/w)\/w)\/w**(3\/5))\/((w\/w**(-4)*w)\/w**(1\/9)) assuming w is positive.\nAnswer: w**(-69364\/11115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 405646 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from wiwishwshshtbbh.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + i**2 + i**2)*(-8*i + 10*i**2 + 8*i) - 2*i**2 + 2*i**2 - i**4 in the form m*i**4 + h*i + a + j*i**3 + f*i**2 and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 22. Suppose 4*n - 23 = -a, -2*n - a + 7 = -j. What is the remainder when n is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 8:13 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -172, -177, -184, -193, -204?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7802472.15 + -24.3.\nAnswer: -7802496.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a factor of 76836045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 18 - 72 = -3*j, 25*j - 185 = -4*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37 + 3?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -40, -86, -140, -208, -296?\n\"Answer: -n**3 + 2*n**2 - 45*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**3 + 2*z**2 + 4*z + 3. Suppose 3*l = -2*q + 2*l, q = -4*l + 14. Is g(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 7)*(104*n - 1255 + 1255) - 4*n + 3*n + 0*n to q + k*n and give k.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11520736*j - 5*j**3 - 11520736*j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -182*y + 2912. Let u be w(16). Determine v so that 5\/2*v**3 + 1\/2*v**4 + u - 1\/2*v**2 - 5\/2*v = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79905 divided by -3?\nAnswer: -26635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2 = -3*a + 5*b, -a + 4 = -5*b. Let v(x) = 4*x**2 + x + 1. Let w be v(a). Suppose i - w - 16 = 0. What is the highest common divisor of 50 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 623*c**4 + 8*c**2 + 16*c - 204. Let n(r) = 208*r**4 + 3*r**2 + 6*r - 67. Let g(v) = 3*f(v) - 8*n(v). What is the derivative of g(t) wrt t?\nAnswer: 820*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnnm when four letters picked without replacement from mnmnmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13608 is divided by 206.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 8*m**2 + 9*m + 2. Let x be g(9). Sort 0, 5, x, -4.\nAnswer: -4, 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 7, -33, -89, -167?\n\"Answer: -j**3 + j**2 - 26*j + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -90 + 17 - -58?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvkx when four letters picked without replacement from svxksx?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -3*v**5\/20 - 11*v**4\/24 - 4*v**3\/3 + 29*v**2. Let i(g) = -3*g**2 - 4*g - 3. Give 3*d(o) - 8*i(o).\nAnswer: -3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*k**3*r + 2*k**3 + 554*k**2*r + 330*k*r + 2*k + 430*r wrt k?\nAnswer: -78*k*r + 12*k + 1108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 1140 - 1176 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688) - -1*sqrt(2688)*-1)\/(sqrt(96) - 2*sqrt(96) - (sqrt(600) - sqrt(600)*-1 - sqrt(6) - sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91004 is divided by 17740?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b*r*z + b*z**2 + b - 338*r*z**2 - 17*r*z - 10*r wrt z.\nAnswer: 2*b - 676*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (0 + 1) - 0. Let s(x) = x**3 - 17*x**2 - 19*x + 22. Let v be s(18). Solve -14 = -j - v*k, -3*j = -j - i*k + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 2 + (-15)\/1. Let y be (-3)\/(q\/13) - 2. Let j be 10\/(-180) - (-2)\/36. Is y at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -14*s + 109. Suppose 4*j - 458 = 2*z - 16, j - 2*z - s = 0. Let a = -11 + j. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2192?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2625674 - -214.\nAnswer: 214.2625674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -1 - 4 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {i: 3, z: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3628 and -0.37.\nAnswer: 3627.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 (base 9) in base 10?\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*q + 76*q + 2484 - 276 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2837.7281 rounded to the nearest ten?\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111806 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u + 10. Let p = u + 13. Suppose -3*w + 0*w + p = 0. Is 1 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Suppose f*z - 7 = 5. Let c(b) = -4*b**3 + 3*b**3 + 0*b + 1 - 2*b + z*b. Calculate c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*g = 266 + 448 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372042 and 4398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 445*n**3 + 89*n**2 + n - 4. What is the tens digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2. Let j(s) = 1089092*s. What is j(d(p))?\nAnswer: -2178184*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 223937.1 and -0.73?\nAnswer: -163474.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.03, -1\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**5 - 5625*d**3 + 5*d**2 - 4*d + 44 wrt d.\nAnswer: -60*d**2 - 33750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584269?\nAnswer: 1584269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*m**2 - 2*m**2 + 1 - 91*m**3 - 2 + 12*m**2 wrt m?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2579, -3148, -3715, -4280?\n\"Answer: w**2 - 572*w - 2008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:32 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5\/2 + 9*w**4\/2 + 1020*w**3 + 990*w**2 - 4056*w - 4032 = 0. What is w?\nAnswer: -24, -2, -1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3 - 28404*n**2 - 485554 wrt n?\nAnswer: -3*n**2 - 56808*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from fvffyhefffyhfhbf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 10*c**2 - 17*c + 10. Let a be q(8). Suppose 2*o = -a*y - 2, -4*y = o - 0*y + 13. Suppose -5*i - 3 = 2. Put o, 5, i in decreasing order.\nAnswer: 5, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133991\/47898 + -1\/887. Find the common denominator of z and 73\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 242 + 428 = 0. Let z = -911 + 998. Let n = h - z. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/43)\/(w*w\/w**(-22)))\/((w\/(w*w\/(((w\/(w\/(w*w**(2\/15))))\/w)\/w*w))*w)\/w**(2\/23)) assuming w is positive.\nAnswer: w**(-357418\/14835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (20 - 31) - -39?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 360*r + 11 = -358*r, -5*r + 13 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/24 - 5*d**4\/16 + 3*d**2 - 4. Factor l(o).\nAnswer: -5*o*(o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1861*k - 912*k - 894*k = 278 + 2857 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 - 3*y**4 + 0*y**4 - 3*y**4 - 5*y**4 - y**4 + (2*y**3 + 2*y**3 - 3*y**3)*(0 + 0 + y) - 3*y**4 + 2*y**4 + 2*y**4.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 6*v - 4. Suppose m = -m - 8. Calculate g(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22064650 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 18, 0.4, 4\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-134)\/3)\/((-14)\/21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14888508 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-63) + 266\/63. Solve -4*l = -y*z - 32, -4*l - 5*z = 14 - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjqc when four letters picked without replacement from {j: 3, q: 3, y: 2, c: 8}?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63\/2 + -33. Let h be ((-243)\/54)\/((-3)\/2). What is the closest to s in -1, h, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-3))\/(55\/(-30) + 2). Suppose -b*y = -7*y - 513. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1256 + 1962. What are the prime factors of s?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 4:05 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480943488 to the power of 1\/3, to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 - 1.71. Let l = 5.6 - o. Round l to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -cd833 (base 14) to base 13\nAnswer: -145a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36365 divided by 13.\nAnswer: -36365\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802810 divided by 360562?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4\/7 - 106*s**3\/7 - 15*s**2 = 0.\nAnswer: -105, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.208005m to micrometers.\nAnswer: 9208005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 1837, 3839, 6641, 10237, 14621?\nAnswer: 19787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1661026 - 2?\nAnswer: -1661028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -222*a + 1987 + 2231 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 1, i: 1, d: 1, j: 1}. What is prob of sequence bdv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a meter in millimeters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + 3*(2 + (sqrt(684)*-3)**2 + sqrt(684) + sqrt(684) + sqrt(684) - (6*(-1 + sqrt(684)))**2))*1.\nAnswer: -55501 + 1350*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from utyyntbtyeyy.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 153, 236, 321, 408?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 23*o**7\/70 + o**6\/24 + 293*o**3\/6 + 72*o**2 + 5. What is the first derivative of k(p) wrt p?\nAnswer: 276*p**3 + 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -2958, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 81. Calculate the remainder when a is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4544153\/25 and -181766 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -76. Let c = p - -67.896. Let d = -1.014 - c. What is d rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-7))\/(-18*((-264)\/(-252))\/22).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -32. Let a be (6 + -3 + 4)\/l. Let o(u) = -u**3 - 8*u**2 - 11*u + 1. List the prime factors of o(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -16)*2\/3. Suppose 3*k + 32 = -i, i = 2*k + 48 - 20. Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255341 is divided by 255317.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 331?\nAnswer: 32d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 3)\/1 + -185 + 13. Let h = 192 + c. Put 3, 1, h, 5 in decreasing order.\nAnswer: h, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 93*o**2 + 93*o + 88. What is f(-92)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 890269 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*m**3 + 2*m**3 - 3*m**3 + 0*m**3 + m**3 + m**3 + 0*m**3 + (-2 + m**2 + 2)*(2 + 2*m - 2) + 2*m**3 + 4*m**3 - 5*m**3 + 8*m**3 - 50*m**3 - 8*m**3.\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 2}. What is prob of sequence gpp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 73*a**2 + 826*a + 2. Give s(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 + 5.2. Let s = 2 - x. Let o(k) = k**2 + 4*k + 3. Let m be o(-4). Which is the second smallest value? (a) m (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146359733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 1. Let r be f(14). What are the prime factors of (-3 - (-2 + 2))\/((-3)\/r)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**5 - 545*z**4 - 565*z**3 + 1645*z**2 + 560*z - 1100 = 0.\nAnswer: -2, -1, 1, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177905802 and 14982?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.01 + -0.01. Let w = k + -5.9. Sort w, -4\/7, -0.5 in decreasing order.\nAnswer: -0.5, -4\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4 + 36*t**2 = 0. Calculate t.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 188*c**3 + 8*c**2 + c**5 + 22*c**4 + 132*c**2 - 300*c - 51*c**3.\nAnswer: c*(c - 1)*(c + 3)*(c + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 628.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 15*s + 5*p - 12734, -3*s = -4*p - 9566. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from wvcci.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*l = 28, 5*y - 5*l = -3*l + 70. Let b = y + 26. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/601 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-7\/6)\/f))**(3\/17) assuming f is positive.\nAnswer: f**(19\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g**2 - 4*g**2 + 565*g - 567*g - 46 - 2*g**4 wrt g.\nAnswer: -8*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8059?\nAnswer: 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*m + 177, 5*l + 89 + 163 = 4*m. Let u = l - -49. Solve n = u + 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/15 + 4\/(-10). Let v be s\/(2\/10*-1). Suppose 16 = d + 4*h, -v*d + 0*h = -4*h + 16. Solve d = 3*j + 15, -i + 5*j = 2*i - 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*n - 5*h, -4*h + h = -3. Let v(p) = p**3 - 5*p**2 + 11*p - 52. Let x be v(5). Solve 0 = 3*i + 4*b + n, 0*b + x*b - 26 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 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 -h**2\/3 + 9494*h\/3 + 1909127\/3 = 0 for h.\nAnswer: -197, 9691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y - 9714 = -9621 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-3 - (-10)\/2) - -10. Solve 9*x = c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105*77\/88935 + (-316)\/(-396)*1?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -122 + 433*d**2 + 48 + 30 + 3*d + 46 in the form c + b*d + m*d**2 and give m.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 6, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 8*m - 13. Give i(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from {y: 4, g: 2, u: 4, f: 5, c: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/48*456\/532?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 72\/16)*(-1752)\/15. Let a = x - 29. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 + 2*p + 2. What is t(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrro when four letters picked without replacement from {o: 5, r: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*g**5*q**2 - 4*g**4*q**2 - 683*g + q**2 wrt g?\nAnswer: 880*g**3*q**2 - 48*g**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*q - 21, 3*q - 4*m - 1 + 30 = 0. Let p = q + 5. Suppose 0 = p*u + 40 - 270. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8862\/(-28063))\/((-1)\/(-38)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1012 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1360122 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 599 and 628351?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 8*s - 19. Which is the closest to 1? (a) -1 (b) s (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -445*a + 12623. What is the tens digit of z(-130)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*x - 18786449 + 18789608 for x.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 57\/(-4))\/(3\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-9)*j*j)**(2\/129))**(3\/11))**37 assuming j is positive.\nAnswer: j**(888\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*n - 6*n + 13, 2 = -2*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - ((2 - 6) + 10 + -80 + 74).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l*n**3 + 36*l*n**2*q**2 + 12*l*q**2 - 3*l*q - 2*n**3*q**2 + 217*n**2*q wrt q?\nAnswer: 72*l*n**2 + 24*l - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -12\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + sqrt(2299))*1 - -3*(sqrt(2299)*-2)**2) - (-6*-2*(sqrt(2299) + 4 + 1 + sqrt(2299)))**2.\nAnswer: -1245066 - 31647*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 - n**2 + 7*n + 5. Let z(v) = 3*v**3 - v**2 + 6*v + 5. Determine 6*f(g) - 7*z(g).\nAnswer: 3*g**3 + g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*p)*(-p - p - 3*p)*(5 - 3 - 5) as w + u*p + s*p**2 and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) 3\/2 (b) -429 (c) -35\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*t + 62*k + 194, -3*t + 46 = 2*k for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1551, -40, 3 in ascending order.\nAnswer: -40, 3, 1551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-340)\/1836*-4*(-2)\/20.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35280 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 253*h - 135. Let l be a(20). Suppose 0 = 10*n - l + 155. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 29*n + 3233. Determine w(-7).\nAnswer: 3030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(((-437)\/19)\/23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 262 + -263. Is 4 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 8*c = -129. Calculate the greatest common divisor of c and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 174, 186, 198?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 4:21 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006936.21 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-213)\/1349)\/((-112)\/76)*20\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25205, 6, 11, 3, 2 in increasing order.\nAnswer: -25205, 2, 3, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, l: 1, a: 4, k: 4, m: 3, g: 1}. What is prob of sequence am?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 16, 15?\n\"Answer: -l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 11*t + 4 = -15*t, 5*t + 30 = 0. Solve -5*f - x = -5*k, 18 = 4*k + 18*f - 21*f for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-755)\/(-302)*7\/(35\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-111) - (-359359)\/(-407). Sort z, 5, -4.\nAnswer: z, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*t + 52258 - 52276 = 0, 0 = y - 4*t + 25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*f - 4*f - 3*f + 6*f + (-2 + 1 + 3)*(-f + 3 - 3) + 3 - 3 - f + 4*f - f - 4 + 6.\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 8064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 1228 + 3759*v**2 - 407*v - 3757*v**2 - 823*v = 0.\nAnswer: 1, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183 - 146. What is the remainder when 133 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99 (base 16) to base 11.\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence see when three letters picked without replacement from {s: 10, e: 9}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 10*w**2 + 3*w - 45. Let d be u(-7). What is the highest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s + 913*s - 14574 = 6977 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:43 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -1*(-2 + 4). Suppose -3*a = -h*a - 12. Let f be (-74)\/a - (-4)\/(-8). Solve -9 = -4*s + l, -5*s - 2*l = -s - f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8656 + 8659. Solve -3*d = u*m + 18, 24 - 12 = d - 5*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 770 = 5*d, 13*d + 4*p + 178 = 14*d. Let g = d + -91. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**5\/20 - j**4\/3 - 4*j**3\/3 + 7*j**2\/2 - 17*j. Let h be (4\/(-2))\/((-6)\/15). Calculate a(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11715722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-94796)\/2)*(-15)\/(-5). Let z be r\/(-130) - (-16)\/104. Let c = -1102 - z. Which is smaller: c or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17442715016 - 17442715016 - j + 2*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1087\/3 - -5429\/15. Which is the closest to 0.04? (a) 20 (b) 1\/4 (c) h (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 133759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 894*h**3 + 5292*h**2 + 10536*h + 7008.\nAnswer: 3*(h + 2)**3*(h + 292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.11248 centimeters in millimeters?\nAnswer: 581.1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - t = j + 2, 19 = t - 4*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -8372?\nAnswer: -3\/4186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -121210010 (base 4) to base 2\nAnswer: -11001100100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/210*-30 + 17\/(-5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from {e: 7, g: 1, p: 4, n: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 145*x**2 + 10*x - 5. Let z be g(6). Let u = z - 3618. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 11*y - 15. Let w(t) = -5*t**2 + 35*t - 44. Let b(n) = 8*p(n) - 3*w(n). What is the remainder when b(-8) is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 11*f + 4. Let h(z) = -z**2 + 16*z - 6. Let o(b) = -2*h(b) - 3*q(b). Let w(c) = 4*c**2 - 5*c - 1. Let l = 47 - 46. Give l*w(v) + 2*o(v).\nAnswer: 2*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c. Suppose c = -3*b, 4*d + 2*b + b - 268 = 0. What is the remainder when d is divided by (-4)\/24*-105*(-4)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17815, 37969, 58123, 78277?\nAnswer: 98431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*x - 185*x - 19570 = -99*x for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5429801?\nAnswer: 13, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (-2 + 1)*-21 + -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -68272330723 and -2.\nAnswer: -68272330725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4844547823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6373863*h*k*q + 14*h*k + 272*h*q - 127*h + 2*q - 74 wrt k.\nAnswer: 6373863*h*q + 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58\/689 or 0?\nAnswer: 58\/689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/11 - (-5168)\/374. Suppose x*u - 10*u = 4. Let p(i) = -i**3 + 2*i**2. Calculate p(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106 + 2*v - v + v + 17.\nAnswer: 2*v - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-6))\/5*(-925 + 940)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -2*g**5\/45 - 5*g**4\/18 + 16*g**3\/9 - 2803. Find f, given that z(f) = 0.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:12 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/6)\/((-1)\/(-158)). Let m = t - -141. Let o be m\/28 + 2\/7. Which is the nearest to 1? (a) o (b) 0 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - -17. Let x = -95.1 + n. Let o = x - 1.9249. Round o to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 1. Let n be c(3). Suppose -n*l - 12 = -6*l. Let i = -2 + l. Is i < -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*r = -268 + 7148, 5*z - 4*r - 6885 = 0. List the prime factors of z.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 69 - 13 + 6 - 4*x. What is the remainder when v(11) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*j - 8, 3*c - 2*c + 8 = 3*j. Suppose 3*o + 2 = c*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -291, -447, -625, -831, -1071, -1351, -1677?\nAnswer: -2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*n**6 - 6*n**6 - 3*n**2 + 2*n**6 - 3*n**2 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280.60756 + -2.2.\nAnswer: -282.80756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/63 - 59\/126. Let h = -154 + 162. Let c be 16\/(-32)*h\/(-19). Which is bigger: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 0*w - 3\/2*w**3 + 0 + 3\/2*w**5 - 3\/2*w**2 + 3\/2*w**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2. Let g(a) be the first derivative of 44*a**3 - 2117. What is g(q(y))?\nAnswer: 2112*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23749*-3\nAnswer: 71247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034362198 rounded to seven dps?\nAnswer: 0.0000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 20*f - 24. Let b(j) = -13*j + 16. Let g(c) = 7*b(c) + 5*y(c). Let a be g(3). Let q = a + 1. What is the smallest common multiple of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + 456923*p**2\/4 - 3427035*p\/2.\nAnswer: p*(p - 15)*(p + 456938)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 68546, 68543, 68540, 68537?\n\"Answer: -3*d + 68549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 24 - 348?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3\/3 - 26*a + 630. Let x(q) = -q. Calculate x(n(b)).\nAnswer: -b**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 835*p + 2131. What is the thousands digit of m(38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 4. Let t be f(-7). Let q = 11 + -29. Let n = t - q. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2106885 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -240, 2\/65, -0.1, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 3*q. Let g be d(-1). Let i be (1 - (-6)\/g) + -1. Solve 0 = i*s - 7*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {q: 1, b: 1, w: 1, l: 1, o: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 2. Let n(r) = 13*r - 15. Let f(h) = n(h) + 6*o(h). Let q be -16 - -2 - (6 + -4). Let m = -16 - q. Determine f(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*d**5 - 12*d**3 - 22*d**2 + 5*d - 844 wrt d.\nAnswer: 520*d**3 - 72*d - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + y + 2*m + 10, 5*y + 25 = -5*m. Solve -12*d + 17*d - 25 = y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 9165*p + 3199518 = 0.\nAnswer: -2653, -402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z**3 - 6*z**2 + 66*z - 206. Let h(k) = k**3 - k**2 + 11*k. Calculate 6*h(b) - q(b).\nAnswer: 12*b**3 + 206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2199.1 + 4\nAnswer: -2195.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34178.8 litres to millilitres.\nAnswer: 34178800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*(((-4)\/(-12))\/1 - 1). Let f(l) = 27*l + 15. Is f(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -418086388 divided by -24602\nAnswer: 16994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 + 2*k**3 - 3*k**3 + (4 - 5 - 1)*(8*k**3 + k**3 + k**3).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a - a + 4739 - 6*a - 6534.\nAnswer: -18*a - 1795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 36 + -20 + -47?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 314*f + 1882. Let r be v(-6). Let m(l) = l**2 - 5*l - 5. Give m(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*n = -2*j + 12, -2*n = -j + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47585 - 41. What is the ten thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.348 - 0.016. Let s = 0.493 - b. Round s to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 357\/(-294) + 6\/(-21).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**4 + 3740*d**3 - 61955*d**2 - 13035240*d + 26288460 = 0. Calculate d.\nAnswer: -51, 2, 71, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**7\/105 + g**6\/12 - 3*g**5\/10 + 7*g**4\/12 - 2*g**3\/3 + 3*g**2 + 3. Factor a(n).\nAnswer: -2*(n - 2)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -7*c + 135. Let l(p) = p + 18. Calculate the remainder when c is divided by l(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a + 13. Let b(n) = 182*n - 556*n + 13 + 184*n + 187*n. What is -2*b(u) + 3*c(u)?\nAnswer: -3*u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170774 (base 8) to base 12.\nAnswer: -2ba24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 5 + c - 5*c)*(c + 0 + 0) to q + t*c + a*c**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -470 - -622. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/103985 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 4 in descending order.\nAnswer: 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y + 34. Let j be t(-11). Let z = 92 + j. Suppose 119 + 91 = 2*w. What is the remainder when w is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-310)\/(-341) + (-381)\/165\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 5*q**2 + 45*q**2 + 17*q**3 - 19*q**3 to the form j*q + d + b*q**3 + a*q**2 and give a.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3da66 + -7?\nAnswer: -3da6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 6*d - 3*d - 66, -4*g = 5*d - 110. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/(-38))\/(27\/423)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123919 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 11*s**4\/4 - 2*s**3 - 7. Find the third derivative of l(p) wrt p.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 24, 26, 22, 12, -4, -26?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, f: 2, k: 1, q: 4, b: 1, y: 1}. What is prob of sequence bk?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 536768 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**4 + 1 - 4*d + d**2 + 10*d - d**3 - 6*d to l*d**3 + b + a*d**2 + u*d**4 + v*d and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wejwqwwreevee. Give prob of picking 1 v and 1 e.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 1588283\nAnswer: -6353132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -13. Let r = -18.51 - -18. Let l = 0.51 + r. What is the biggest value in w, -5, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85440 divided by 6.\nAnswer: 14240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 834 - 832. Let x(u) be the third derivative of 13*u**d + 0*u + 0*u**3 - 1\/12*u**5 + 7\/12*u**4 + 0. What is the second derivative of x(g) wrt g?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(1700)*2)**2*-6 + (sqrt(1377) - ((sqrt(1377) - (sqrt(1377) + 2)) + sqrt(1377))*3 - sqrt(1377)).\nAnswer: -44976 - 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179819 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 806\/832*(-45 + 77)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 5*z - 3*d, 6*z - d = 9*z + 67. Let l be (-7)\/z - 137\/(-3). What is the highest common factor of l and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225765315 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwa when three letters picked without replacement from {a: 3, s: 2, w: 4, q: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -120, -467, -1044, -1851, -2888?\n\"Answer: -115*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47\/3? (a) -3 (b) 4 (c) 5 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 18 = 5*f, -5*f - 28 = 8*y - 4*y. What is the smallest value in f, -1\/2, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.08 - 0.08. Let p = -2.1 + 3.4. Let n = p - j. Which is bigger: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/126)\/(2\/(-4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b**2 - b)*(7*b - 3*b - 2*b) + b - b - 2*b**3 + ((2 - 2 + 1)*(-2*b**2 + 2 - 2) + b**2 - 2*b**2 + 0*b**2 - 242*b**2 - 390 + 390)*(-8*b + 3*b + 3*b).\nAnswer: 492*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - 1.5. Let s = 1.2 + a. What is the third smallest value in 3, s, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 7:58 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/50)\/(3 - (-88)\/(-30)). Solve v*c - 4 = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 6, a: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0196311 rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378397 greater than 5378397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221121422.\nAnswer: 2, 110560711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 13. Suppose -b - 3*w + 14 = 0, -14 = -3*b - w - w. Let j be 20 - (b\/(-8) + z\/(-4)). What is the greatest common divisor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15748949011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-44))\/(-1)*42*108\/3402\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 2*n**2 - 2*n + 3. Let c be g(-3). Suppose c*l - 2 = -l. Calculate the lowest common multiple of l and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 39, 60, 89, 126, 171?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (377\/116)\/(36\/(-288)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57 and 0.0550173.\nAnswer: -3.1359861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1627661*j**5 + 27*j + 1496.\nAnswer: -32553220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**9\/30240 + x**8\/3360 - x**7\/840 + x**6\/360 + 7*x**5\/60 + x**2. Let q(v) be the third derivative of u(v). Factor q(y).\nAnswer: -2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30381876743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2. Let z be (-6)\/(-21) + (-44)\/7. Let j(b) = 7*b**2 - b - 1. Determine z*s(v) + 2*j(v).\nAnswer: 2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8108.6t in nanograms?\nAnswer: 8108600000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 278 - 269. Suppose 500 - 428 = j*z. Solve -4*n = -z*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6845836?\nAnswer: 2, 1711459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(80)\/(sqrt(10)*1)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 1 - 1)*(-x**2 + x - x).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 1\/(-2)*14. Let y = s + 21. Solve -5*b - 14 = v - b, -2*v - y = 4*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 17437368.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 35*x + 308. Suppose -224 = 48*i - 20*i. What is the remainder when s(i) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 56 - 5966*v + 19 + 19.\nAnswer: -5966*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -469092 smaller than -469101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129 and 33497.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -43. Suppose 9*x - 10*x - 25 = y. Let n = -22 - x. Solve -2*s - 2*m - 7 - 7 = 0, -5*m + 5 = -n*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 206743680 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 117.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18909569159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2061 - -2061. Let v = 2 - 0. Is (v - s)*44\/8 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from eebzdezezzdbdb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 7) + (10 - 3) - -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/12922470 and 29\/19.\nAnswer: 12922470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 h when three letters picked without replacement from {w: 1, m: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 - 3*r**4 - 17*r**4 + (0*r - 5*r + 3*r)*(0*r**3 - r**3 + 4*r**3) - 2*r**4 + 3 - 3 to h*r + w*r**2 + m*r**3 + g + x*r**4 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = 0, -3*i + 139 = 5*l - l. Solve -47*w = -i*w - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -3*k + 402. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3 + 1 + 5 - 2 + 4*q**3 - 2*q**2. Let w be c(1). Find the first derivative of -w*a**2 + 1 - 12 + 3*a**2 + 9*a**3 wrt a.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 s when four letters picked without replacement from {s: 2, u: 1, y: 1, h: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 + 140. Calculate the remainder when 27 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 11 = -4*u - 7*y, -y + 2 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 7*b**3 - b**3 + (3*b**3 + b**3 - 5*b**3)*(-3 + 0 + 4) + (3 - 4 + 0)*(-b**3 + 0*b**3 - 2*b**3).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 >= -20.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 0 + 45*(-32)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94993 - -133938. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1237441 and 12374410.\nAnswer: 12374410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 522 and 1102.\nAnswer: 9918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -17\/7 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 578\/35 - 117\/7. Which is the second biggest value? (a) n (b) 0.1 (c) -2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40560 is divided by 82.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468*176.\nAnswer: -82368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 6840*r**2 + 1 + 2*r - 4*r**4 + r**4 + 6851*r**2 to a*r**4 + c*r**3 + z*r**2 + x + y*r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dggd when four letters picked without replacement from ddogodgdgdgd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, p: 9, z: 3}. What is prob of picking 3 h?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 1. Let t(g) = 4*g**3 - 5*g. Suppose 187*s = 238*s - 51. Give s*t(q) + 3*u(q).\nAnswer: q**3 - 5*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 2)*(-f + 6*f - 3*f) + 8*f + 0*f - 2*f to m*f + h and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4494 and 413127.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 19*a + 36. Let b be n(-17). Suppose -b*w - 5*c + 16 = -6*w, 4*w + 8 = 3*c. What is the third biggest value in 5, 0.47, w?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.027652 - 31.619.\nAnswer: -31.646652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/3*((-14)\/(-42) + 57\/(-198))\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.220115 - 39.\nAnswer: -37.779885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - 733?\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 3*s**2 + 2*s - 1. Suppose -l - 5 = -1. Let m be o(l). Let x be (2 - 4)*(-7)\/m. Solve 0 = p + x*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**4\/4 - 5*m**3\/3 + 7*m**2\/2 + 6*m + 3. Let c be v(-6). Let s(u) = -u**3 - u**2 + 1. What is s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21081486.\nAnswer: 2, 3, 3513581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**8\/7 + 7*b**4\/12 - 8*b. What is the third derivative of p(j) wrt j?\nAnswer: 960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = -5*q. Suppose 0*u + 11*u - 11 = q. Which is the second biggest value? (a) 8 (b) -0.2 (c) u (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 17*n**2 - 35*n - 36. Let f be r(-15). Suppose -i - 35 = -l - f, -2*i - 5*l = 13. Suppose 1\/2*t - 1\/2*t**2 + i = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 - -2) - (17 + -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 18200394\nAnswer: -5\/6066798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -990 - -976. What is the third smallest value in p, -13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001266614 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12097107 and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*a - 3 + (-15 - 15 - 2)*(-a - 2*a + 0*a))*(-2*a**2 - 7*a**2 + a**2) to o*a + u*a**2 + j + k*a**3 and give k.\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11393 is divided by 217.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 9. Let q be b(-14). Let h = q + -157. What is the smallest common multiple of 39 and h?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 0*h + 0*h + (2*h + 0*h - 5*h)*(0 + 1 + 0) + 6*h - 3*h + 3*h as n + c*h and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 37\/866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1663030 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-30))\/((48\/(-15))\/(-8)). Suppose 8*g = 5*g - 24. Let l be (64\/30)\/(-4)*(-6)\/g. Which is the nearest to l? (a) u (b) 1\/12 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooopoeeooeofeefoeeee. Give prob of picking 2 f.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12002 + -12056.245. What is g rounded to 0 decimal places?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2466 = -22*h + 24*h. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*u - 11830 = -5296 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44920 is divided by 1054.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 59*k - 112*k + 54*k. Let h(s) = 34*s. Give r(h(p)).\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuuuzuuuuuzzz. What is prob of picking 1 z and 1 u?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 4. Let z = 14 + -10. Let u be l(z). Solve -2*y = 5*x - x - 16, -y - u = -3*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1 - 0\/(-1). Let k(h) = 11*h + 1. Let l be k(2). Let f be l + -21 - (-9)\/(-5). Sort q, 3\/5, f in ascending order.\nAnswer: f, 3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + 2*sqrt(19))*-6.\nAnswer: -12*sqrt(19) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 5\/100976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -96*h + 1250. Let r be t(13). Factor -4\/11*k**2 + r + 42\/11*k.\nAnswer: -2*(k - 11)*(2*k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 4. Let s(t) = 5*t - 9. Let i be (-18)\/15*430\/(-3). Let a be 3\/9 + i\/(-12). What is a*f(y) + 6*s(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*a - 14 = -6, 0 = -2*h - 1220*a + 1217*a - 5 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-37*(-1)\/(-2))\/(2\/(-4)). Which is smaller: x or 39?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4126 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37468 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: Calculate the greatest common divisor of 65646270 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 40312725 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.57 - -0.43. Let s = -31 - -13.7. Let f = s + w. What is the biggest value in 7, -1\/3, f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (-24)\/10 - 2104\/(-40).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by -2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4.92. Let t = -0.08000006 + n. Round t to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*r - 10*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421717.\nAnswer: 421717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Let f = -7 - -10. Which is the second smallest value? (a) n (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3645126 or -12?\nAnswer: 3645126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491\/((-120295)\/1960) - (-272)\/14?\nAnswer: 80\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 4. Let q = 38 + -38. Let y(z) = -z**3 + 9*z**2 - 14*z + 13. Let x be y(7). Solve -5*k + d = -u, q = -k - 3*u - u + x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3 + 45. Let n(o) = o**2 - 11*o + 15. Let k be n(10). Suppose -2*a + z = k. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77160 in -10, 0.2, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006740 divided by -10710?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*d = 239*d + 195 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585950 is divided by 48829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 divided by -19?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 13. Let m(q) = 3*q**3 - 2*q**3 - 8*q**2 + 0*q**3 - 3*q - 10. What is the remainder when m(f) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4410 and 1120.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + t**2 - 2*t**2 + 4*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -24.81. Let p = 0.18945 - l. What is p rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 - 37*y**2 - 11*y - 18. Let b be v(-9). Sort 2, b, 55 in decreasing order.\nAnswer: 55, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907*l = -2427 - 14806 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*d - 3*u = 350*d, -4*d + u = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 620*f**2*p**3 + 12*f**2*p + 6132*p**3 - 4362*p wrt p?\nAnswer: 3720*f**2*p + 36792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -66 + -9 + 41 + (-1 - -4)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 36 = -m - m, -3*m - 115 = -5*l. Suppose -2*h = -0*h + l. Let i = h + 122. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 191*z**3\/3 - 2. Is n(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = 0, -4*v + 919 = -2*d - 28925. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18815914.\nAnswer: 2, 13, 641, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294\/(-11) - (220 + 538991\/(-2453)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i + 5*i - 6 - 1 + i. Let j(v) = -6*v + 22. Let f be -15 - -1*(-1 - 0). Let a be ((-91)\/(-26))\/(3\/(-6)) - -2. Determine a*j(q) + f*d(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**7\/70 + h**4\/24 + h**2 - 2*h. Let x(n) be the first derivative of q(n). What is the second derivative of x(l) wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142328.62 to the nearest one thousand.\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 122816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 4*j**2 + 3*j - 4. Let v be 2\/(-13) - 2358\/(-117). Let b = v - 16. Give z(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3861)\/(-561) + (-6)\/1 - 36\/(-306)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -15. Solve -3*u = q, 5*h = 3*h - 3*u - 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -1\/2*q**3 - 4*q**2 + 0*q - 1\/24*q**4 + 0 + 1\/30*q**5. What are the prime factors of w(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 1. Let u(z) = 1. Let y(d) = 5*m(d) + u(d). Let n be y(7). Let p = 36 - n. Solve i - 3*f = -1, 5*i - f = f - p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.18177 years in centuries?\nAnswer: 0.3818177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 times -7.5\nAnswer: 3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + ((-8)\/(-4) - 1). Suppose i + 2 = -5*z, 3*i + 5*z - a = 1. What are the prime factors of 6\/(-9)*i - -222?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -145487 (base 10) to base 16\nAnswer: -2384f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/(36\/(-24))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3864 divided by 3.\nAnswer: -1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Let d(q) = -q**3 + 4*q**2 - q - 1. Let s be d(v). Solve s + 0 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -70, -289, -870, -1993, -3838?\n\"Answer: -30*p**3 - p**2 - 6*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7*o + 2*o = 5, -5*f - 9 = -4*o. Is ((-24)\/2 - f) + 1802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*s - 1558 + 1576 = 0, 3*s = -5*i + 45 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 11. Let s be y(3). Suppose -2*m = -f + 9, -3*m - 1 = -s*m. Is -11*(7\/f)\/(2\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8842 or 8840?\nAnswer: 8842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 886451476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 277*y**2 - 2055 + 2055 + (y + y + 0*y)*(2*y - 7*y + 4*y).\nAnswer: 275*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(16 + 276 + 36)*(-35 - 3*p + 35 - 11*p**2).\nAnswer: 7216*p**2 + 1968*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(3078) + sqrt(3078)*1 + sqrt(3078))\/(-6*sqrt(8)))**2.\nAnswer: 1571\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*s**5 - 416\/3*s**2 - 274\/3*s - 284\/3*s**3 - 68\/3 - 76\/3*s**4.\nAnswer: -2*(s + 1)**4*(s + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 16. What is the remainder when 2 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5501529, 5501524, 5501519, 5501514?\n\"Answer: -5*k + 5501534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0. Let p = -102.9 + 103. Which is the closest to 1? (a) p (b) n (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8*4 + (-2)\/1. Let j = q - 17. Suppose 0 = 4*i - 52 - 44. What is the remainder when i is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/1)\/((-8975)\/(-280) + -32). Is -1458\/13 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*z - 11*z + 413 = -4627 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 8. Let w be f(-12). Let v = 6 - w. Suppose 3*g = 4*c - 28, 4*c - g + v - 22 = 0. Put c, 6, -2 in increasing order.\nAnswer: -2, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/9 or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -89, -130, -181, -248, -337, -454, -605, -796?\n\"Answer: -c**3 + c**2 - 37*c - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 5 + -15 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 10 - 10)*(11*b - b - 6*b).\nAnswer: -100*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 303\/2 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 25. What is the units digit of t\/(5\/(-1)) + 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 99, 102, 105?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 538*u**2 + 602*u**2 - 1157*u**2.\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -5 (b) -1\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 - 3*w**3 + 5*w**2 - 16*w**2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + r**2 - 44*r + 13. Give p(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000661595 rounded to 7 dps?\nAnswer: -0.0000662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 13*g**2 + 2*g - 18. Calculate the lowest common multiple of 10 and m(13).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 2, v: 3, y: 1, f: 2, t: 2}. What is prob of sequence hhtt?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.94 + 10.2895. Let s = h - -1749.6505. Let l = s + -1757.39. Round l to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256950.\nAnswer: 2, 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-2 - -1) + (-28 - -24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*v - 2468*v + 2425*v.\nAnswer: -303*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 39*p**2 + 399*p - 361.\nAnswer: (p - 19)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -195467 (base 10) to base 6.\nAnswer: -4104535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6431 = -77*r - 19213. Does -147 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7 + 3\/4*w**2 - 1\/4*w**3 + 6*w.\nAnswer: -(w - 7)*(w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171608569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v**4 + 120*v**2 - 982*v - 21352855 wrt v.\nAnswer: -16*v**3 + 240*v - 982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 31 - 31 - a**2. Let k(c) be the first derivative of c**4\/24 + c**2\/2 - 1. Let h(q) be the second derivative of k(q). Calculate h(n(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 100*j - 168. Calculate z(11).\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 113*o - 9. Let c be (-2)\/(-4)*(-17 + 3). Let d be n(c). What is d rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f - 72. Let k be (-7 + 5)*1 - 14. Is 24 a factor of u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 114 + 126)*(-9 - 21 + 10)*(3 + 3 - 5)*(4*o**3 - 3*o**3 + o**3).\nAnswer: -9320*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148588 and 158412?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837815?\nAnswer: 5, 11, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 10:29 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.07 (b) -13.4 (c) 2\/13 (d) -1\/5 (e) 1\/5 (f) -34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by 1?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*f + 77*f - 73 = -25. Suppose u + 4*u - 85 = 0. Solve 12 = 3*m + f*k, m - 5*m = 3*k - u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (2 - 3) - -6 - 9. Let r(y) = -7*y - 17. Let k be r(z). Solve o = -5*t + 5*o - k, -5*t - o = 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1185 + 907 + 69 - 288 + 592)*(-4*o**3 - 18 + 18).\nAnswer: -9860*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3507 - -3507.02361. Let m = b + 0.009406. Let w = 0.033 - m. What is w rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3613, 4241, 5209, 6517, 8165, 10153?\nAnswer: 12481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12923 = -5*l, -i + 6484 = 3*l - 8*l. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*b + 12. Let z(v) = v**3 - 2*v**3 + 8*v + 3*v**3 - b*v**3 + 8 - 6*v**2. Give z(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 977 divided by 2\nAnswer: 977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -8 - (-53 + 24 + 14 + (-3 - 42)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35*b + 18*b + 68*b)*(3 + 1 + 9) to u*b + c and give u.\nAnswer: 1573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44 + 40*r**3 - 142*r - 60*r**2 - 43*r**3 + 145*r + 16.\nAnswer: -3*(r - 1)*(r + 1)*(r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 91726600 to the nearest 1000000.\nAnswer: 92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 = -35*l + 40*l - 6 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10575488 and -39\/357280.\nAnswer: 52877440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/219)\/(-3))\/(3936\/(-2624)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p + 3. Let v(j) = 10*j - 5. What is 5*h(s) + 3*v(s)?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -370*n**3 - 13*n**2 - 6*n - 4. What is the remainder when y(-1) is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 greater than or equal to -1400\/4453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - (-19)\/(-7). Let r = z - -7. What is the highest common factor of r and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 1 + 1, -5*l - 481 = -c. Suppose -3*n + c = 2279. Which is smaller: n or -602?\nAnswer: -602","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*6*(-2)\/32*140\/(-315).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.859708142 to 2 decimal places.\nAnswer: 13.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viiviv. Give prob of picking 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010932337 rounded to 7 dps?\nAnswer: 0.0001093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 744639487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/2)\/((54\/(-1976))\/9) is divided by (17 + -15 + 0\/(-1))*(-166)\/(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24018 = -17*k + 24222. Calculate the remainder when 349 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-one thirds of a hour?\nAnswer: 73200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13242107 or 13242108?\nAnswer: 13242107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q + 9. Let h(v) = -5*v + 4. Let g(k) = 5*h(k) - 2*i(k). Suppose -1 = 5*y - 16. What is g(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 146656802 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**5\/3 - 3556*g**4\/3 + 5932*g**3 - 32042*g**2\/3 + 24925*g\/3 - 2374 = 0.\nAnswer: -3561, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + 2*u + 3*u)*(-8 + 2 - 33) to the form c + a*u and give a.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Let z = 60 - 42. Suppose -n - 22 = -5*q, n = -3*q - 0*q + z. Solve 20 = n*i + v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 9, b: 10, t: 1}.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (21\/(-6) - 0)*-14. Suppose -4*d + 4*t = -56, 5*d - y = -t - t. Let b be (-1 - -7)*d\/(-33). Let c(p) = -6*p - 2. Calculate c(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)**(15\/4)\/(y*y**4*y*(y**(-5)*y*y)\/y))\/(((y**(-4)\/y)\/(y**1\/y))\/((y*y**(-2\/3)*y*y*y)\/y)**(-1\/10)) assuming y is positive.\nAnswer: y**(-71\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 3541 - 3601 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2675090 and 78518?\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(14\/8) - 3. Let h(n) be the first derivative of -g + 0*n**2 - 2\/3*n**3 - 1\/4*n**4 + 0*n. What is the third derivative of h(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 15 = 85. Let s = 9 + o. Is (-1)\/2*s*83\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1018144535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 53*n**3 + 2*n**2 - 2*n. Let w(l) = 12614*l**3 + 477*l**2 - 477*l. Calculate 2*w(s) - 477*z(s).\nAnswer: -53*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 11. Let f be i(8). Let r = 2 + -4. Is 171\/3*(r + f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768 = 2*a - u, 0*u - 402 = -a - 4*u. Suppose -3*b - b + 5*d = -365, 0 = 4*b + 2*d - a. What are the prime factors of b?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*a + 3*w - 36, 0 = 2*w - 10. Suppose -a*y = 8, -4*y = -2*t - 0*t. Find the common denominator of 15\/11 and (-23)\/t*1\/(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -336318?\nAnswer: -336316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-4 + 6*(sqrt(1008) - 1*sqrt(1008)))*6)**2 - (4 + 5*-3*(1 + sqrt(1008)))).\nAnswer: -3522 - 1080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, 2, 14, 30, 50?\n\"Answer: 2*i**2 + 2*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16450 = 447*o + 160*o + 391*o - 3510 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-56)\/(-49) + -2)*(-7)\/3. Suppose i + i + 2 = 5*b, -3*i + 18 = 3*b. Solve -r*h = -h + i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102112 (base 3) to base 2.\nAnswer: -100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -25*y**3 - 5*y**2 - 6*y. Let s(t) = -t**2 - t. Let z(x) = -p(x) + 6*s(x). Find the common denominator of -59\/2 and z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.1 - -5.9. Let q = -33.9987 + k. Round q to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 4 - 4 + (-13876 + 13876 + 717*k + 700*k)*(2 - 6 + 3).\nAnswer: -1416*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4592 and 2371030?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25871 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2745 is divided by 125?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959164 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -4, 214, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8198 > 2285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, p: 1, x: 3, j: 3, q: 2}. Give prob of sequence jqj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153685379?\nAnswer: 23, 2297, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -4 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/13)*d*d**(-7\/4)\/d*(d\/d**(3\/2))\/(d\/(d**(2\/25)*d)))**(-2\/47) assuming d is positive.\nAnswer: d**(2721\/30550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 145 = 2*b - 596, 0 = 4*b + l - 1515. Differentiate 22 - b*k**3 + 535*k**3 + 9 with respect to k.\nAnswer: 471*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 76*i**2 - 2*i + 3288. List the prime factors of b(0).\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-8))\/(-63*4\/(-224)). Which is the nearest to 0.1? (a) y (b) 3\/8 (c) 3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l + 3079*l**2 + 12*l - 211*l**2 - 1042*l**2.\nAnswer: 1826*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 64\/6 + -2 + 22\/66. What is the highest common divisor of 279 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 12:55 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13357 and 364249?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 1370*x + 1255*x + 9 + 11 to h*x + r and give h.\nAnswer: 2625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 355713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -331*b - 19126. Give g(-58).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2109 and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -226417954 divided by 16172711?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/3 - 42*w**4 + 4144*w**3\/3 - 3734*w**2 - 4145*w\/3 + 3776 = 0. Calculate w.\nAnswer: -1, 1, 3, 59, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9516883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uufuoumamsmm. What is prob of picking 2 m, 1 o, and 1 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 36?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561699.\nAnswer: 3, 139, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 4\/18 - 295\/9*-1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2206 - 1199. Calculate the greatest common divisor of 159 and y.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30483092 is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from {m: 5, k: 5, i: 8}?\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 165.7 (b) 5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*j = -x - 13, -4*x + 2*j = -16. Suppose -x*i + 690 = -25. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 62, 3\/10?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*w + 22, -3*p + 23 = 2*p + 2*w. Suppose -p*b - 4*i = 13, -3*b - i - 7 = i. Let q = 58\/7 - 60\/7. Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*x**3 - 2788*x**2 + 5608*x + 400.\nAnswer: -2*(x - 2)*(x + 50)*(29*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 896831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 595039009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 104 + 32 = 0. Let f = i - -33. Calculate the remainder when 44 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 7*f + 9. Let z be a(-6). Solve p = -3*m, 0 = -2*p + 7*p - z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 479643526 to the nearest integer?\nAnswer: 21901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, w: 2, a: 1, d: 1, i: 7}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1 = -99. Let o = 23 - u. Find the third derivative of 9*m**2 - 4*m**5 + 9*m**3 - 8*m**5 - 9*m**o wrt m.\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -633857\/120 - -26418\/5. What is the common denominator of u and -2 - -1 - (-81)\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmrmrrrrmr. Give prob of picking 2 m and 2 r.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 - 20 + 35)*(-1 + 2 - 3)*(7 - 4*w - 7) to the form n*w + k and give n.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8246\/(-589)*(-2)\/5*25\/4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4625, -4618, -4607, -4592, -4573, -4550, -4523?\n\"Answer: 2*c**2 + c - 4628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -638.\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 8. Let p(s) = s**3 - 7*s**2 - 4*s + 11. What is the tens digit of p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 10*s - 4. Let x(r) = 4*r**2 - 40*r + 16. What is -9*a(q) - 2*x(q)?\nAnswer: q**2 - 10*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90592 is divided by 123?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003421 rounded to four decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 101*q - 14408. What is o(74)?\nAnswer: -1458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -139.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 6*n - 14. Let o(c) = -c**2 + 8*c + 1. Let b be o(n). Calculate the greatest common factor of 64 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + -19 + 11 + 51 + -26.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2. Let h(x) = 7*x - 6. Let s(q) = -30*q + 25. Let f(i) = 25*h(i) + 6*s(i). Give f(y(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 170 = 4*c, -2*i + 2*c + 8 - 118 = 0. Suppose -20 = -5*h, 0*y - 5*y - 138 = -2*h. Let r = y - i. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107381*d + 107299*d + 7810 - 1660 for d.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22562 = -3*n + 10357. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 3, u: 3, n: 13}. Give prob of picking 1 u and 2 b.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -4*p - 0*p + 2*m, -2*m - 73 = -p. Let d = 11 - 21. Let w = d + 19. What is the highest common factor of p and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 10) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*v**3 - 5293*v**2 - 8887545 wrt v?\nAnswer: -9*v**2 - 10586*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -5*u + 0 + 1\/6*u**4 + 0*u**3 - 3*u**2. Differentiate i(c) with respect to c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 88 = 4*k + 3*s, -4*k + 88 = -5*s. What is the greatest common divisor of 33 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1\/9)*j))**(-18) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/654024 and -58\/51.\nAnswer: 654024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -5150.\nAnswer: -20600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3.28 - -6.7\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34, -13, 8, 29, 50?\n\"Answer: 21*p - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 318*t**2 + 623*t**2 - 325*t**2.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*f = -0*f - 71, -f = v - 23. Let k be (-50956)\/v + 18\/99. Let l = k + 3575. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -4*t - 3*k + 168, -196 = -5*t - 2*k. Let h be (10 - 0)*(-2)\/(-4). What is the greatest common divisor of t and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 10988?\nAnswer: 98892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1295419*k*q*r**2 + 3*k*q - 1815*k + 2*r**2 + 70 wrt q.\nAnswer: -1295419*k*r**2 + 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 701905559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -33 (c) -4\/7 (d) 5\/30209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3656 divided by -2?\nAnswer: 1828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -2. Suppose -i*w + 2*w + 54 = 0. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 416 + -325. Calculate the smallest common multiple of o and 52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*c - 22124 = 16476. Calculate the remainder when c is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6900400267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/8 + 3\/2. Suppose 15*g - 70 = 10*g. What is the least common multiple of g and u*(4\/2)\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30537 and 4680.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = -4*j + 60. Suppose 0 = -5*c - 2*m + 12839, -3*c + 7698 = j*m - m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 163966325, 163966324, 163966323, 163966322, 163966321?\n\"Answer: -o + 163966326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2552964675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o - 4*o + 2*o)*(1 - 3 + 4) + 59*o + o + 21*o)*(o**3 - o**3 - o**4) - o**5 + 3*o**5 + 0*o**5.\nAnswer: -75*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 6:28 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 373188 less than -35828?\nAnswer: -409016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by -3\nAnswer: 92\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/(2\/5). Let x = 720 + -5037\/7. Factor 0 - x*z**c + 0*z - 3\/7*z**4 + 6\/7*z**3.\nAnswer: -3*z**2*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d66b (base 16) in base 3?\nAnswer: 2210022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102.153 + 0.047. Let t = -27 + 123. Let k = t - q. Which is smaller: 2\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183.9 - 199. Let r = n - -15. Suppose 22*w - 6 = 25*w. What is the nearest to w in -1\/4, r, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-2))\/((-62)\/48050*275)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 25*h + 48. Let y be c(-2). Let i = 109 + -541\/5. Factor -y*u**2 + i + 6\/5*u.\nAnswer: -2*(u - 1)*(5*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -11. Let q be (-111)\/t + -1 + -1. Suppose 0*l - q = -5*l. Calculate the lowest common multiple of l and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-288)\/12)\/(-3) - 3. Let u = -14 + 19. Solve u*t - 4*t + w = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Suppose -3*z + 35 = -5*s, -s - 1 = 3*z + 3*s. Let t = -1\/5 + 0. What is the nearest to o in z, -2\/15, t?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.53 to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 3)\/(6\/438). Suppose 0 = 5*z - c - 242. Let n(o) = -3*o + 1. What is the remainder when z is divided by n(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*t + 4*r, -8*t - 108*r + 51*r + 56*r = 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25993 and 2618?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -249, -323, -399, -477, -557, -639, -723?\n\"Answer: -n**2 - 71*n - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2\/6 - 24503*u\/6 + 12251\/3 = 0.\nAnswer: 1, 24502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from tsmopxo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 1305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1098311737*j**2 + 63642328*j?\nAnswer: -2196623474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30992813.\nAnswer: 607, 51059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 4*v + 0*v)*(-76 - 36 + 23).\nAnswer: -89*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51, -98, -143, -186?\n\"Answer: r**2 - 50*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0065*-1.\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3803373 and 1278522?\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10416162 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306989?\nAnswer: 37, 8297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*w - 20, 5*b = -w - 0 - 5. Is b at most -4\/1523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r**2 + 5*r + 5. Let w(a) = -6 + 2*a**3 - 137*a**2 + 8*a + 64*a**2 + 63*a**2. Let x be w(4). Let y(b) = 23*b**2 - 14*b - 14. Give x*y(h) - 17*v(h).\nAnswer: -2*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(20\/(-28)) + 0. Let j(b) = 26*b**2 - 8*b + 9. Let g be j(h). Let v = -544 + g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 759 - 689. Is k less than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1579430825 and 1.\nAnswer: 1579430825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-429 + 45*j**2 + 429)*(2*j + j - j).\nAnswer: 90*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 74 = -4*k - 0*u, 3*k + 54 = -3*u. Let y be k\/(-10) - 12\/(-30). Let n(h) = -132*h**2 + 131*h**y + 0*h + h - 19*h**3. Give n(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 + (2 - (2 + 0)). Let n = -14 - l. Let i(d) = d**2 + d. Let z be i(n). Calculate the highest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 4) to base 8\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 5:59 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 + 862 = 93*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/24*4)\/(1\/9). Let j be 7\/21 + (-286)\/a. Suppose 6*o = -j + 180. What is the lowest common multiple of o and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/54*(-1218)\/3248?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-232)\/174)\/((-8)\/3)*(-828)\/(-6)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8553553207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c + 6 = 23*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**3 + 0*z**3 - 2 + 0*z**3)*(-z + 3*z - 4*z).\nAnswer: 12*z**4 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -3*p + 231. Let t = p - 39. What is the greatest common divisor of t and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 355 - 355.000171. What is a rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437445053.\nAnswer: 437445053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -366\/5 + 74. Put -3\/7, 2\/49, q, 0, -3 in ascending order.\nAnswer: -3, -3\/7, 0, 2\/49, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {t: 8, r: 8, d: 1}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30444\/11*o**3 - 1734\/11 - 76404\/11*o**2 - 138\/11*o**5 + 4410\/11*o**4 - 43146\/11*o = 0. Calculate o.\nAnswer: -1, -1\/23, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(5*9\/6). Suppose -4*n + 3*g + 20 = 0, 1 = -2*n + 3*g + 11. Which is the closest to 0.4? (a) 0.2 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**3 - 456*m**2 + 13965*m + 14418 = 0.\nAnswer: -178, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1713, -1211, -2, 0, 4 in decreasing order.\nAnswer: 4, 0, -2, -3, -1211, -1713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -365, -425, -483, -539, -593?\n\"Answer: r**2 - 63*r - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32664 and 27.\nAnswer: 293976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 2741*q + 7513081\/2.\nAnswer: (q + 2741)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 4818 = 13*h. Is h\/27 - 4\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356060 (base 11) in base 15?\nAnswer: b2375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 44312200 to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011101 + 11000?\nAnswer: -111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 30 = 0, -2 + 12 = -5*l - 5*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 3. Let r be v(0). Let u = r + 5. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 - 50*f**2 + 7791*f - 4370. Calculate q(38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*b*m**2 - 2*b*m - 42353*b + 83*m**2 - 2*m wrt m.\nAnswer: 216*b*m - 2*b + 166*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eksxkxkkxkkxekxe. Give prob of picking 1 k, 1 s, and 2 e.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**2 - 228*q**2 - q + 11*q.\nAnswer: -216*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -150 (b) -2.22 (c) -7.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**3 - 8*p**3 - 7*p**3 + (-1 - p + 1)*(-3*p**2 + 0*p**2 + p**2) + 2*p**2 + 2*p**3 - 2*p**2 - 2*p**3 - 4*p**3 + 4*p**3)*(-3*p - 5*p + 0*p).\nAnswer: 64*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14425 (base 7) to base 2.\nAnswer: -111110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -4, -50, 1233?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -472, -421, -370, -319, -268?\n\"Answer: 51*p - 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -242)*(0 - (-6)\/(-2)). Let f be (8 - 6)*1\/(-2)*p. Suppose -f = 2*t - 103. What is t rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20129 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 187*n**2 + 0 - 1 - 6 - 6 - 6*n.\nAnswer: -187*n**2 + n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:00 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q + 8. Let d(s) = -39*s + 235. Let t be d(6). Let o be (0 + -6 - t)\/(-1). What is w(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6890753 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1336 + -1335. What is the second biggest value in z, -5, -0.014?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/86, 0.4, 298, 360 in increasing order.\nAnswer: -1\/86, 0.4, 298, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7682 + -60?\nAnswer: -7752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = -3*o + 5*l, -l + 171 = 2*o - 64. Let s be 6\/(-8) - -1 - (-10643)\/o. Is s <= 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - i + 2*i)*(-193*i**3 + 307 - 307).\nAnswer: -193*i**4 - 193*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 5*i**2 - 11*i - 40. List the prime factors of q(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -101.5359 and 17?\nAnswer: 118.5359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*(-126)\/(-72)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239331.\nAnswer: 3, 79777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)\/x)**(-10)\/(x**(-1\/6)\/x**(-1)))\/((x*x\/(x**(-2\/7)\/x*x*x)*x)\/x*x**2)**(-2\/49) assuming x is positive.\nAnswer: x**(8851\/2058)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -164 and -164 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1916 + 77 - 3511)*(-3*f + 3 - 3).\nAnswer: 16050*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 227772 and 60.\nAnswer: 1138860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d + 14. Let t be y(-6). Let s be 4\/t*1 + (0 - 0). Let r = 2\/15 + -8\/15. Sort r, 5, -1\/3, s in ascending order.\nAnswer: r, -1\/3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1477\/407 + 7\/37. Calculate the common denominator of p and -1*(-8)\/36 - (-344)\/(-90).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 317 * -15.\nAnswer: -4755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -44. Let k be (-44)\/56*-8 + 2\/o. Suppose -5*m + k*m = 3. Solve 4*z - m*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/2 - -4983\/766. Let g = -2320\/4213 + s. What is the biggest value in 2\/3, g, -2\/11, -0.04?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {o: 15, l: 4}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -4776.42 and 7.\nAnswer: -4769.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -5*n**4\/24 - 106*n**2. Let m(v) = 8*v**2. What is m(q(y))?\nAnswer: 200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (544\/1904)\/(((-1)\/(-1))\/(-77))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {q: 2, w: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 6*h + 12. Suppose 55*r - 5*r - 45750 = 0. Let c = r + -923. Calculate y(c).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203212970 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k + 3419*k**2 + 3420*k**2 - 6838*k**2 + 2*k - 171*k**3 to the form h*k**3 + o*k**2 + t + l*k and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2197, 6617, 13987, 24307?\n\"Answer: 1475*h**2 - 5*h + 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.23 + -82.096. Let o = c - -0.726. What is o rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.2324.\nAnswer: -0.06972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -2.8.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 12*r + 3 = -3*y, r - 5*y = 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 12:40 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let m be 121 + (-2 - (k - 6)). Let v = -69 + m. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28819 and 2576?\nAnswer: 461104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -8.5. Let n = -3 - p. Let a = n + 0.9. Put a, -6, 4 in increasing order.\nAnswer: -6, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*m, 2*v - m = -0*v. Let b(n) be the second derivative of -1\/2*n**2 - 4*n - 5\/6*n**3 + v - 1\/3*n**4. Let b(x) = 0. Calculate x.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**3\/6 - p**2\/2 - p. Suppose -12 + 32 = -5*b. What are the prime factors of j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 102*g + 6. Let l(i) = 43*i + 13. Let k(x) = -17*x - 4. Let o(t) = -7*k(t) - 2*l(t). Let d(f) = 16*o(f) - 5*s(f). Let v(b) = 3*b. Give d(v(c)).\nAnswer: 54*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 - 120*i**3 - 5*i**2 + 120*i.\nAnswer: 5*i*(i - 24)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 33 = -6*w, 2*t = -1999*w + 1994*w - 23 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let v be (-2)\/(2 + 120\/(-25) + 3). Suppose 6*d - 8*d = 2. Let x(a) = -5*a**2 + 10*a. Give d*x(b) + v*j(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*p - 21*p**4 + 17*p)*(-p + 7*p - 2*p) + (p**5 + 2*p - 2*p)*(3 - 4 + 3) + 108*p**2 + 25*p**5 - 108*p**2.\nAnswer: -57*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6333.1nm?\nAnswer: 0.0000000063331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 15.5. What is the nearest to 0.2 in 0, -4, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*g**3*t + 64*g**3 - g**2*t wrt t?\nAnswer: 30*g**3 - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 6*s - 62. Let q(f) be the third derivative of 0*f**s + 7*f**2 + 1\/6*f**4 + 0*f + 11\/30*f**5 + 0. Factor q(r).\nAnswer: 2*r*(11*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3\/3 - 12250*d**2\/3 = 0. What is d?\nAnswer: -6125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -625801 minus -0.49?\nAnswer: -625800.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:03 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 + 8*x**2 + 16*x. Let d(b) = -2*b**3 - 8*b**2 - 14*b. Let s(o) = -3*d(o) - 2*q(o). Factor s(c).\nAnswer: -2*c*(c - 5)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 451.017 + -0.017. Let q = 451.506 - x. Let i = -0.106 + q. Which is bigger: i or 3\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -2, -40.7, 0 in increasing order.\nAnswer: -40.7, -2, -1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6*6\/1. Let b = 11 + c. Let l = 10 - b. Solve l = -3*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v = -190. Let h = 8 + v. Let m be (-1708)\/(-210) - (-4)\/h. Solve -u = u - m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 12. Let c be (1\/2)\/((-2)\/y). Is (c + 0 + -246)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0 + 0)*(-2*k + 2 - 2)*(368*k**2 + 7196 - 7196) - 4*k**4 - k**4 - k**4 + 2*k**2.\nAnswer: -1478*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 2\/(-4) + 2. Which is the nearest to -2\/7? (a) 4 (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*m**2*y**2 - 97*m**2*y + 2*m**2 - 5*m*y + 9*y**4 - 2000*y**2 + 2743*y + 4 wrt y?\nAnswer: 226*m**2 + 108*y**2 - 4000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/3)\/(6\/240). Let x be (v\/96)\/(2\/(-9)). Calculate the greatest common divisor of 1065 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/27)\/((-12)\/216)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81.6 + 78. Let i = p - 7. Round i to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 397991 and 1067.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -22*n**2 + 0 + 0*n**5 + 0*n**6 + 8\/3*n**3 + 0*n**4 - 1\/10*n**7 + 0*n. What is the derivative of y(v) wrt v?\nAnswer: -84*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46297*o**2 + 96523*o**2 - 50236*o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3073273 (base 8) to base 13.\nAnswer: -227a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u + 16*u + 14*u)*(0*u + 2*u - u) to i*u + p + r*u**2 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -5*z**3\/3 - 25*z**2\/2 - 20*z - 51. Factor g(r).\nAnswer: -5*(r + 1)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 71*u**2. Let z(y) = -6*y**2 - 8*y**2 + 17*y**2 - 5*y**2. Determine l(z(t)).\nAnswer: 284*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.9 - 19.9. Put -1\/10, 6, s, 3 in decreasing order.\nAnswer: 6, 3, s, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314603616 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64881317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x + 19. What is j(8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 4. Let k be o(4). Let v(z) = -z**2 + 9*z + 5. Let h be v(9). Suppose k = -5*y + 20, -3*y = -c - h*y + 13. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 24. Let w be (4\/12)\/(2\/(-10)). What is the third smallest value in w, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = 20 - 53. Let s be (-2)\/4 - (-27)\/2. Solve -n*p - y = -2 + s, 4 = y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -5 - 7*(-1)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2035707*a + 911939?\nAnswer: -2035707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 11*y - 2. Calculate n(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(45) + -3 + sqrt(80) + (-3*sqrt(35))\/sqrt(7)*-6.\nAnswer: -3 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 30*s - 749. Determine v(-46).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -109, 9, 3\/2, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12. Suppose y = -4*t + 4978 + 4630. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + (-1771)\/143 - -10 - -7?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(104)*1*-3 - (1*sqrt(104)*-6 + sqrt(104) - sqrt(104)))\/(2*(-2*sqrt(968) + 6*sqrt(24)\/sqrt(3))))**2.\nAnswer: -907\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48331244.\nAnswer: 2, 13, 787, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - g = -96. What is the smallest common multiple of 70 and g?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(75)\/sqrt(3))\/sqrt(5).\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.114000429 - 1.114. Round q to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 2*j - 12, -3*j = -3060*g + 3061*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 32*d + 0 - 5\/12*d**4 + 1\/2*d**2 - 1\/6*d**3. What is l(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 11*m**4\/12 - 115*m**3\/2 - 339*m**2. Differentiate i(h) with respect to h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 - -75. Is g > -257\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -706167 to the nearest 10000.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 4 - 25635)*10. Let d = s - -416330. Suppose 0*t - 5*t - d = l, -4*t = l + 159992. Round l to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 16 = -2*u. Suppose 5*j - u*j - 113 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 0*u + 35 = 0, -4*x + 3*u + 21 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + g - 6 + 1, -4*g + 13 = 3*x. Suppose -x*a = -6*a - 3. Solve a*v = 2*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11)*q**(4\/9)\/q*q*q*q*q)**(5\/9) assuming q is positive.\nAnswer: q**(-340\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21068540.\nAnswer: 2, 5, 37, 71, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170*c*m**3*t**2 + 2*c*m**2*t**2 + 5*m**3*t - 15*m*t**2 wrt c.\nAnswer: 170*m**3*t**2 + 2*m**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/7462 and -18\/53833?\nAnswer: 753662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-54)\/90)\/(0 - (-2)\/(-42)) and -86*1\/(-30)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-52)\/12 + 4)*39. Let c be (-6 - k)*(-4)\/(-14). Suppose -c*j + 2*s = -j - 28, 5 = -s. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 2*u**2 + 0*u + 74*u**2 + 2*u + 73*u**2 - 155*u**2 + (-276 + 276 - 125*u)*(-2*u + u - u) as v*u + f*u**2 + o and give f.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**5*w**2 + 3*q**3*w**2 + q**2*w**2 - q**2 + 30*q*w wrt q?\nAnswer: 180*q**2*w**2 + 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + 9 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 59 - -16568?\nAnswer: 16616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/30 (b) 0.5 (c) 2254.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 34*v - 630 = 0. Let f be -2*5*(-3)\/2. Calculate the highest common divisor of f and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 - 6*x**2 + 20*x**2 - 7*x**2 - x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from cbhhkbyhh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 37 = 5*m - 104, 0 = 3*q - 3*m - 222. Suppose -4*j = 2*l - 86, q = j + j - 5*l. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/12 - (-442)\/(-78).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:06 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 3288*z - 16409. What is x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4532310 is divided by 161?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2 + 3*v**2 + 4*v + v**3 - 4*v**2 - 2*v. Let g be 35\/11 + 2\/(-11). Let x be l(g). Calculate the greatest common factor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2301*j - 1162*j - 1210*j - 60 = 1644 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 823450 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15*0.9\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b - 11. Suppose 3*y + 25 + 11 = 0. Let t be o(y). What is the greatest common divisor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, f: 8, h: 3}. Give prob of picking 2 c and 1 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1176\/(-384) + 3)*(-51)\/102.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598 a factor of 110004516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.2, -603, 64?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjpxppxpjxxp. Give prob of picking 2 p.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -15*u**3 + 18*u**2 + 11*u - 11. Let o(v) = -7*v**3 + 9*v**2 + 6*v - 6. Let n(h) = -11*o(h) + 6*q(h). Find the third derivative of n(y) wrt y.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821354405?\nAnswer: 5, 17, 2521, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + 33*n. Let s(v) = 2*v**3 - 17*v. Let r be (13\/(-4) + 2)*4. Let w(a) = r*s(a) - 3*t(a). Find the second derivative of w(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.150767 rounded to three dps?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -41*v + 18. Let j(m) = -19*m + 9. Let k(n) = -6*h(n) + 13*j(n). Let b be k(-3). Solve 2*z = -2*z - b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*s + 8 = -3*s, -3*s - 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 - 16*g + 21. Determine k(-10).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28714 and 2450?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three halves of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*n = 67*n + 54 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/3 + 9*o**3 + 47*o**2\/3 - 25*o.\nAnswer: o*(o - 1)*(o + 3)*(o + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -27252 != -27246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 389692 - 340980382\/875. Let a = 71007\/875 + -568\/7. Let c = a + u. Calculate the common denominator of c and 61\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003523892 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -90. Put 2, -3\/2, z, -0.2 in descending order.\nAnswer: z, 2, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6627 + -6625. Solve -96 = 4*a + 2*h - 108, -5*a - u*h + 14 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 36171.\nAnswer: 36171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645490876.\nAnswer: 2, 3, 7, 199, 158261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/24 and -163\/1126146.\nAnswer: 4504584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10101101001000 (base 2) to base 5\nAnswer: -323310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1936 - 990 = -2*q, 0 = q + 2*n - 1468. Let z = -797 + q. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 216 = -3*b + 695, -4*b + 4 = 0. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/((-28)\/(-7)))\/(6\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121233203 (base 4) to base 16.\nAnswer: 99be3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2766.4661 rounded to the nearest integer?\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 1d696c?\nAnswer: -1d696c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, a: 1, c: 2, g: 2, r: 1}. What is prob of sequence cp?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116327367.\nAnswer: 3, 13, 19, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 4*o**3\/3 - o**2\/2 + 13*o. Let v = 433 - 438. Let y(t) = -7*t. What is v*y(l) - 4*z(l)?\nAnswer: 3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*q + 62*q - 128*q = 7. Does q = -23\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9028*m**2 - 9025*m - 3.\nAnswer: (m - 1)*(9028*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6)\/(2\/(-8)). Suppose -6*o = -m*o + 860. Let d = o + 478. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2802056 and -1.23.\nAnswer: -2802057.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*n**2 + 8*n - 9*n**2 - 12*n + 4*n to the form c*n**2 + b*n + y and give c.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 46*l**3 + 2*l - 1. What is x(1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210022211001 (base 3) to base 11.\nAnswer: -922a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11222000 (base 3) to base 4\nAnswer: 320202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7855 + -0.5855. Which is greater: z or 125.1?\nAnswer: 125.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 20. Let v be z(-10). Which is the third biggest value? (a) -0.1 (b) -0.2 (c) v (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t*v**4 + 21830224*t - 17604507*v wrt v?\nAnswer: 4*t*v**3 - 17604507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/7 - 244*y**2 - 52094*y.\nAnswer: -2*y*(y + 427)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:32 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 + 0*o**3 - o + 42*o**2 - 4*o**3 - 40*o**2 + 6*o + 2 - 4*o**4.\nAnswer: -(o - 1)*(o + 1)**3*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6*q**2 + 9*q - 9. Suppose 14*o - 492 = 250. Suppose o = 11*b - 24. Let r(x) = 5*x**2 - 8*x + 8. What is b*r(n) + 6*j(n)?\nAnswer: -n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -9. Let r = 232 - 236. What is the units digit of u\/20 + (-34)\/r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 1 (c) 1\/8 (d) -1\/2 (e) -252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Let f(l) = -867*l - 2 - l**3 + 445*l + 459*l - 16*l**2 + 22. Let r be f(-18). Solve -2*j + r*o - 2 = 0, 0 = -k*j + 2*j + 2*o + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -2)\/((-6)\/16). Let z be (-2)\/p + (-46)\/(-8). Are 6 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7744*x**3 + 185*x**2 - 3*x + 276. Let a(s) = s**3 + s**2 + s - 69. Let o(t) = 4*a(t) + l(t). What is the third derivative of o(c) wrt c?\nAnswer: -46440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968846807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 2011020122100?\nAnswer: 2011020122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 12) to base 7\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 995128952 to the power of 1\/2, to the nearest integer?\nAnswer: 31546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/40)\/(-6 + (-8)\/(560\/(-399)))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.41 - 20.41. Let i = 40\/21 + -25\/7. Which is the closest to 1? (a) p (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2\/6 - 52161800*k\/3 - 272085337924000\/3 = 0. Calculate k.\nAnswer: -10432360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14 and 16\/37531.\nAnswer: 37531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -19 - 9*b - 7*b - 4*b**2 - 6 + 3*b**2. Let x = 65 + 24. Calculate the remainder when x is divided by y(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20202 = -5*m + 79202. Round m to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896)*1*1 - sqrt(896))*-3)\/(sqrt(28)\/sqrt(36) - (sqrt(847) - (sqrt(847) - (sqrt(847) - (sqrt(847) + -2*sqrt(847) + sqrt(847)))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881742611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 0*v**2 - 24*v - 2\/9*v**4 + 1\/15*v**6 + 0 + 0*v**3 + 1\/63*v**7 + 0*v**5. Solve w(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*g - 32 = -7*g, 3*o - g = 96. Calculate the remainder when 127 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47926588 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(21*w - 68*w - 24*w)*(-184*w - 32*w + 42*w - 173*w + 59*w) in the form o + j*w + f*w**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*r - 9*r. Calculate the remainder when 230\/35 - 4\/7 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1150)\/(-300) - 20\/24. Solve -2*t = -5*q + 6, 40*t + 10 = b*q + 42*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6875490, 13751025, 20626558, 27502089, 34377618?\n\"Answer: -q**2 + 6875538*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 6*o**2 - 2*o**2 - 3.\nAnswer: 8*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24, -46, -124, -282, -544?\n\"Answer: -4*h**3 - 4*h**2 + 18*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/7)\/(-3)*-7. Find j such that -10*j**2 + 2*j**3 + y + 7 + 3 + 4*j = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 665 = -110. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-5) - (-2)\/(-10). Let u(o) = -1. Let a(i) = -2*i**3 - 2*i**2 + 3. Calculate k*a(r) - 2*u(r).\nAnswer: 2*r**3 + 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -23*d + 4. Let l(b) = 2*b. Calculate -f(z) - 5*l(z).\nAnswer: 13*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -71, -110, -173, -272, -419, -626?\n\"Answer: -2*o**3 - 25*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 58.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162837 and 293928?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*x)*(-188 + 273 + 388 + 193) as j*x + a and give j.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/39, 2, -1\/2, 4 in ascending order.\nAnswer: -1\/2, -2\/39, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -193 - -191.7. Which is the second biggest value? (a) k (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + (-1 - 4) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25727 and 1001?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 415497 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233.1 - 247. Let a = -14 - w. Let g = -0.3 - 0.7. What is the smallest value in g, 0.1, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -10*j + 7*j. Suppose 60 = j*o + 2*o. Let z = o - -63. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/104)\/((-2)\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 + 416*j**2 + 399*j - 17. Give k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 11:04 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -16, 0.1, -29476, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1325231434 + -3?\nAnswer: -1325231441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1704428197?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1806, -5, -1.5, 0.3, -2\/7, 0.5 in increasing order.\nAnswer: -5, -1.5, -2\/7, 0.3, 0.5, 1806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3*o + 3. Suppose 4*i + 0*b = -4*b - 8, -5*i + 2 = 2*b. Let m be l(i). Let f(c) = 6*c - 1. Determine f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-274)\/30 + 110\/825.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 35 = 9*u - 5*h, -5*u + 2*h = -29. Solve 0 = -0*r + 4*r - 5*p + u, 10 = 4*r - 2*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/8)\/o)**(-37) assuming o is positive.\nAnswer: o**(407\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 24*u**3 + 60*u**2 - 176*u - 336.\nAnswer: -4*(u - 7)*(u - 3)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5 + 3 + 0 + 5*v. Let t(r) = r**2 - 7*r + 16. Let n be t(3). Let b(p) = -n*p - 33 + 0*p + 34. Calculate 3*b(u) + 2*m(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -19, -33, -49?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 2*m. Let x(r) = r**2 + r. Let u(q) = 3*t(q) + 12*x(q). Factor u(s).\nAnswer: -3*s*(s - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/608 and -37\/18.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 72*l + 3157. Determine i(-44).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5*q + 34, m = 9*q - 11*q - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1344*p**3 + 4*p**2*v**3 - 123*p**2 + 2394536*v**3 with respect to p.\nAnswer: -4032*p**2 + 8*p*v**3 - 246*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpg when three letters picked without replacement from {d: 1, p: 2, q: 1, x: 1, g: 1, i: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 - 34. Suppose 4*k + 0*k = -20. Let x = k + 9. Calculate the highest common factor of j and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 417460 * 2.\nAnswer: 834920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -54 + 2164. What are the prime factors of f?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13434*g**3 - 6717*g**3 - 6715*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, s: 1, b: 1, k: 2}. What is prob of sequence bkii?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*d - 98*d = -724 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16035175, -16035220, -16035275, -16035346, -16035439, -16035560?\n\"Answer: -v**3 + v**2 - 41*v - 16035134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1890.9282 to 0 dps.\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73678120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -27 + (8 - 0) + -5 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175 times 2759?\nAnswer: -482.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 5*l + 4*l - 234 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1) + 4 + -4. Suppose -4*u + u = -12, 221 = h - t*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 542*s**3 - 1092*s**2 + 558*s - 8.\nAnswer: 2*(s - 1)**2*(271*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*f + 14*f - 3*f**2 + 57*f + 58*f**4 + 5*f + 2*f**3 + 0*f**3 to d*f**2 + m*f**3 + b*f**4 + x + n*f and give b.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -66755362 (base 8) to base 12\nAnswer: -49aa26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 - 2 = 0. Suppose -o*s = w - 21, -3*s - 2*s + 2*w + 46 = 0. Let z be 2\/s + 1560\/(-4704). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -0.38 (c) -0.0333\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/8*-24*(-1)\/(-9). Let m(h) = -10*h**3 - 58*h**2 - 6*h + 1. Is m(c) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82150.05 centuries to decades.\nAnswer: 821500.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/45457 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 15 + 29 = 0. Let s(v) = -v**3 + 5*v**2 + 4*v + 4. Let o(q) = -q**3 + 6*q**2 + 5*q + 5. Calculate n*o(b) + 5*s(b).\nAnswer: -b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3721194 and 162972?\nAnswer: 22327164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 5*q + 3*q + (-3 + 2 + 2)*(0*q - 3*q + 2*q) + (0 - 2 + 1)*(107*q - 8*q + 35*q).\nAnswer: -136*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 975 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5)**(-2\/39) assuming w is positive.\nAnswer: w**(-10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 - 156*i**2 + 43*i + 3657. Give m(-52).\nAnswer: 1421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-42)\/(-15) + 3\/15. Suppose 173 = 5*f + h, i*h = 5*f - 0*f - 161. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30108129.\nAnswer: 3, 953, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 56, 2.3, -2?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 17*c**4\/8 + c**3\/3 + 4*c**2. Let b be o(2). Let u = b - 65. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, l: 5}. Give prob of picking 1 p and 2 l.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {q: 1, b: 4, l: 12, c: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(5\/(-105))\/((-3)\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - 0.24. Let v be 4\/14 + 192\/(-476). Which is the closest to 1? (a) y (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1509*a + 3016*a + 16 - 1511*a. Determine h(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e68e (base 15) in base 10?\nAnswer: -48734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + -8 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16890783 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031236 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -50. Let u(d) = 12*d**2 + 6*d. Let o be u(-3). Suppose 14*a = w*a - o. What is the remainder when a is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(96) - sqrt(6))*-6.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g = 0. Suppose g*c = c + 16. Let q = -4.0938 - -0.0938. What is the biggest value in q, c, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312532503 (base 6) to base 2\nAnswer: 10100110011111001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 15 - 23 + 36)*(-3*d - d + 5*d) to f*d**2 + c*d + u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**2 - 97. Let g(o) = -35*o**2 + o. Determine g(h(d)).\nAnswer: -140*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.2, -0.2, 39 in ascending order.\nAnswer: -0.2, 0.2, 0.3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) -1\/3 (c) 1\/26 (d) -65.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2355455 - -136?\nAnswer: -2355318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -x + 2*x - 65, w - x - 15 = 0. Solve -c - w = -24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3 + (-3 + 4 + 2)*(6 + 9 + 6))*(-45 - 2*v + 45).\nAnswer: -120*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 298 - 2*g**2 - 298 + 7*g to the form m*g**2 + c + d*g and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -503 - 16431376347.\nAnswer: -16431376850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -32897, -4.8, 0?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 8*i**2 + 7*i - 10. Let h = 24 + -15. Let b(d) = d**3 - d**2 - 4*d + 2. What is the remainder when p(h) is divided by b(4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -0.63. Let x = f - -4.43. Let j = 971\/7 - 139. Put -1\/10, x, j in increasing order.\nAnswer: j, -1\/10, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 617 (base 11) to base 3.\nAnswer: 1000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 10*t + 1408 = 4*u, 5*t + 4*u - 3550 = 0. What are the prime factors of t?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48563 = 141*c + 6827. What is the greatest common divisor of 2516 and c?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/147)\/((-772)\/12). Is 1 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/8)\/(138\/(-16)). Which is the third smallest value? (a) 2\/7 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10880*b. Let s(i) = -i**2. Determine s(p(c)).\nAnswer: -118374400*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215040 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -21*w + 1. Let u be l(-1). Let y be 26\/u + 5 + -6. Put y, 0.5, -0.5 in ascending order.\nAnswer: -0.5, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 107709742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 548\/11 + -2181\/44. Find z, given that 0*z + 0 + o*z**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b. Let u(f) = -5 - 5 + 4537*f**2 + 6 - 4655*f**2. What is u(g(l))?\nAnswer: -1062*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2115 and 2835?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**3 - 3*k + k**3 - 4*k**3 + 8*k**3 + k**2 - 5*k**2 - 19 as l*k + h + m*k**2 + w*k**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4011.698 kilometers?\nAnswer: 4011698000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -3\/60520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 1093 + 368 - 682. Solve -77 = j*v - 212*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-104) + (-6)\/39. Solve v*x + 12 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4086 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 3*f - 30, 105 = -561*q + 1014*q - 458*q + 12*f for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u + 25523 - 80852 - 209423. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 16*y - 2. Let b be u(1). Calculate the smallest common multiple of 7 and ((-3)\/2)\/((-3)\/b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -8, -2, -7\/5, 27?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -35 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 8 + (-1 + 3 - 4)*(5 - 3 + 0) + 1 - 2 + 3 + 2 - 2 + 1 + 1 - 2 + 3)*(325*d - 485*d - 618*d) as g + h*d and give h.\nAnswer: -6224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -544717\/4 + 2010005681\/14760. Calculate the common denominator of -91\/12 and d.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 - 19*w - 84. Give r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7561 (b) -7 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -17 (b) -0.2 (c) 1 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5\/3 - 245*v**4\/3 + 1255*v**3\/3 + 1505*v**2\/3 = 0. Calculate v.\nAnswer: -1, 0, 7, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.5 (c) -98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12044 is divided by 11534.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22418 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88\/363*(-12)\/(-16). Sort c, -224, 2, 0.2 in ascending order.\nAnswer: -224, c, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004576355.\nAnswer: 5, 5147, 77893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 138963 and 138965 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, n: 5, x: 3, y: 1, p: 1}. What is prob of picking 1 n and 1 x?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -30, -37, -44?\n\"Answer: -7*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 7*f**6\/120 + 37*f**5\/60 + 49*f**2. What is the third derivative of d(g) wrt g?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o - 4, 0 = -2*f + 2*o + 94. Let k = 2 + 58. Suppose 7*b + k = 270. Calculate the greatest common factor of b and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 41*k + 148, -k - 85 + 88 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millisecond in microseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 4*q**2 - 16*q - 17. Let i(d) = d**2 + 3*d. Let o(n) = -a(n) - 4*i(n). What is o(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 10:56 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.58 - 0.28. Let l = -0.3000004 + r. Round l to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/60 - r**4\/4 - 5*r**3\/6 - r**2. Let n be k(8). Suppose 2*u - 3*y + 0*y = 2, 0 = u - y - 1. Solve 2*g + u = n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 z when three letters picked without replacement from {s: 2, z: 1, y: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + t + 2. Let k be j(-2). Let o(w) = -w**3 + 5*w**2 - 6*w + 7. Let z be o(k). Put z, -4, -2 in decreasing order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00058937 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 81511 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 12:11 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 968.2444 centuries?\nAnswer: 1161893.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwx when three letters picked without replacement from zwxxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 12*u**2 - 7*u**2 + u**3 - 2*u**3 - 8*u**2 - 2*u - u**4 to m + q*u**3 + h*u**2 + o*u**4 + j*u and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 + 13*d**3\/6 + 5*d**2. What is the units digit of s(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {o: 1, d: 3, m: 4, e: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 86957 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7514509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38903*f**5 + 28*f + 147 wrt f?\nAnswer: 778060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 706711, 706725, 706751, 706789, 706839, 706901?\nAnswer: 706975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/361, 0.3, 1439.8 in decreasing order.\nAnswer: 1439.8, 0.3, 1\/361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(130) + sqrt(130)*-6*-1)\/(sqrt(10) - (-5*sqrt(30))\/sqrt(3)).\nAnswer: -7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5100 != -1627262\/319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4562304 and 1140576?\nAnswer: 4562304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14)*s**(-1\/10)\/s)**15 assuming s is positive.\nAnswer: s**(-453\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/60 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/24*-2 - (17 + -31 - -14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*r)*(-5*r**2 - r + 15 + 7 - 21).\nAnswer: -10*r**3 - 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 1. Let k(x) = 9*x - 9. Let j(l) = k(l) - 3*t(l). Find the first derivative of j(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/16*4*(-1)\/3. Let u = -4 + 4.5. What is the closest to j in -0.2, u, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*r - 96, 2*l + 4*r = 6*l + 128. Let s = -27 - l. Suppose 28 = -2*b - s*b. What is the nearest to -2\/7 in b, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 e when four letters picked without replacement from {d: 1, e: 3, n: 6, j: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 546.4635 to the nearest integer.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*t + 2*t + 3*y, 3*t + 5*y + 11 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 331*d**6\/15 - 19*d**2 - 503*d. Differentiate c(r) wrt r.\nAnswer: 2648*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42601310 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (3 + (1 + sqrt(2448))**2)*6 + 0.\nAnswer: 144*sqrt(17) + 14712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23838 and 216398.\nAnswer: 88939578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011000 + 100010000100110010?\nAnswer: 100010000001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 912 by -228.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*h**5 + 1593*h**4 + 3144*h**3 + 1272*h**2 - 1104*h + 144 = 0. Calculate h.\nAnswer: -3, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5091940501 to the power of 1\/3, to the nearest integer?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1829.5 + -1830. Let s = 1.22 - 1.03. What is the biggest value in s, -4, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -151, -306, -461, -616?\n\"Answer: -155*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1229 rounded to three dps?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -814, -1220, -1626, -2032, -2438?\nAnswer: -2844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 762*j**3*y**3 - 69*j**3 - 32*j**2*y + 9*j*y + 399095*y**3 wrt j.\nAnswer: 4572*j*y**3 - 414*j - 64*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from dta?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 572, 1144, 1718, 2294, 2872, 3452, 4034?\n\"Answer: p**2 + 569*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/(1 - 0). Suppose l*r + 6*r - 108 = 0. Let g = -16 + r. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - -57. Let c be -14 + 79 + 0\/(-3)*1. Let r = y - c. What is the greatest common divisor of r and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3944)\/(-544) - 30\/6\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 535*c + 50679. Give q(412).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 140a (base 15) in base 12?\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*-6*(-3)\/(-108). Let s(b) = 1. Let q(m) = -9*m**2 - 4. Let j(c) = q(c) + 5*s(c). Calculate j(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 11*f + 3*f**2 + 11*f)*(-3420 + 3420 + 317*f).\nAnswer: 317*f**4 + 951*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 18. Let f be y(6). Let h(s) = -s**3 + 5*s**2 + 5*s + 5. Let c be h(f). Let j = c - -106. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3013*l**2 - 1499*l**2 - 1508*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 629, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9633, -38421, -86371, -153483, -239757, -345193?\nAnswer: -469791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 29*w**2 + 71*w + 381. Calculate d(-5).\nAnswer: 751","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - (2 + (1 - 1) + -1). Suppose q*o - 16*o = 0. Solve -2*z + 4 + 2 = o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. Let n(m) = m**3 + 17*m**2 + 42*m - 26. Let v be n(-14). Is v >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 5*b**2 + 6*b - 2. Let o(v) = 2*v - 5 + 3 + 4. Let i be o(2). Calculate t(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*c - 2*c = 12, -4*r - 5*c = -36. Solve 6*p - 22 = -r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2467.38 and -2409.\nAnswer: -4876.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = l - 13, -11 = -2*p - 4*l + l. Solve 0*k = p*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 92 - 652 = 0. Let q = -51 - o. Suppose -12*s = -q*s. Sort -0.2, -4, s in descending order.\nAnswer: s, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -11.13. Let n = v - -0.17. Suppose 2*o - 14 = 4*o - 2*u, -4*o + 5*u = 33. Sort 5, 2, o, n.\nAnswer: o, n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 38*g**2 - 10*g - 20. Let q(z) = 3*z**2 - 2*z - 4. Let u(r) = -5*q(r) + t(r). Let b(y) = -y**2 + 73*y. What is b(u(h))?\nAnswer: -529*h**4 + 1679*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, g: 4, i: 1, p: 2, a: 7}. Give prob of picking 2 p and 2 a.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.2 - -10. Let i = r - 0.5. Let j be 3*(-5)\/(540\/(-8)). Which is the nearest to 0? (a) i (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -271*o*z**2 + 222*o*z - 2*o wrt z?\nAnswer: -542*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**8\/448 - i**7\/70 - i**6\/40 + i**2 - 2. Let g(t) be the second derivative of z(t). Determine a so that g(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 723*n - 34650.\nAnswer: -3*(n - 175)*(n - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(-9 - 3*q - q + 29) + (-5*q + 3*q + 3*q)*(0 + 4 - 5).\nAnswer: 3*q - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 44 + 4 = 3*s, 5*m - 20 = -s. Suppose s*g + 0 - 12\/11*g**2 + 10\/11*g**3 + 2\/11*g**4 = 0. What is g?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 10 = a, -6*a = -10*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.164 + -3.164. Let f = -2 - -2. Suppose f = -2*o - 2*o - 20. Which is the closest to 0.1? (a) o (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**7\/2520 + t**6\/360 - t**5\/120 - t**4\/12 - t. Let p(z) be the third derivative of x(z). What is the units digit of p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (-3841)\/(-92) - 1\/(-2)*22\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 divided by -34.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m - 5*n - 25, -38 = -4*m - 2*n. Let r(h) = -h**3 - 6*h**2 - 2*h - 3. What is the smallest common multiple of m and r(-6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 8*s - 5*x - 10, -1 = 5*s + 3*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 4*o - 4. Let w be u(-5). Let k = 0 - w. Let a be ((-8)\/48)\/(40\/(-72)). Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by -47\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 327\/2*(-6)\/(-9). Suppose -81 = q - y. Let l = q - -43. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2450 - 1090 = -b, 2*b = 5*f + 7100. Let c = 3290026 - 32935941\/10. Let d = b + c. Calculate the common denominator of 18 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19129?\nAnswer: 11, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**3\/6 + 17*c**2\/6 - 12*c = 0.\nAnswer: 0, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i - 4. Let j be n(0). Let l be (j\/(-6))\/((-82)\/(-369)). Solve 20 = 2*w + l*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17370*j + 314*j**3 - 306*j**3 - 17403*j - 4*j**2 + 4*j**2.\nAnswer: 8*j**3 - 33*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 17. Let m = -14871 - -14870. Let n be (5\/(-3))\/((-1)\/3). What is the nearest to m in s, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = 4*f - 1010. Is f a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5635 (base 15) to base 4\nAnswer: 10131203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(-4) + 1715\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16279847 is divided by 5426613.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 1 y when three letters picked without replacement from {z: 2, k: 1, h: 1, g: 2, b: 5, y: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 869205.3 micrograms?\nAnswer: 869205300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181175*z - 180917*z + 362095*z - 5 + 5.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*k**2 - 76*k + 199*k - 123*k + 8*k**2.\nAnswer: -104*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -2*k - 4*o - 24, -4*o = 5*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 2*c + 0*c + (3*c - c - 3*c)*(3 - 3 - 2) + 0*c - c - c + 2 + 7*c - 8*c - 4*c.\nAnswer: -6*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -15) + (24 - 32) + -12.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = 3*w, 0 = -2*m + 4*m - w - 9. Let h = 15 + -9. Suppose 0 = q - h*q + 15. Sort m, 0, q in increasing order.\nAnswer: 0, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - (-1)\/3. Let f be (1669 + n)\/(33\/3). Let i = -152 + f. Sort i, 1, -0.1 in descending order.\nAnswer: 1, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n**2 + 6*n + 60. Let p(d) = 11*d**2 + 13*d + 119. Determine -13*h(x) + 6*p(x).\nAnswer: x**2 - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bppyy. What is prob of picking 1 b and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Let z(q) be the third derivative of q**8\/6720 + q**5\/30 - 3*q**2. Let a(h) be the third derivative of z(h). Calculate a(m(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 968.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + y**2 + 2*y - 3. Let z be k(-4). Let g = z + -17. Let h = g + -6. Is h a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 6*h**2 + 0*h**3 + 0 - 1\/3*h**4 + 0*h. Let f(m) = 16*m. Let b(w) = 7*a(w) + 3*f(w). Let n(v) = v. Calculate n(b(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 46 + 45 + -107 + (38 - 3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 7*f - 3. Let r be o(7). Sort 0, -4, r.\nAnswer: -4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o)**(-12)\/(o**(1\/3)*o)**(-4\/5))\/((o\/(o\/(o*o\/(o**(2\/5)\/o))))**(1\/35))**(-2) assuming o is positive.\nAnswer: o**(-11962\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d**3 - 3*d**2 - 2*d - 8. Let i = -128 - -125. List the prime factors of v(i).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1176 - 392. Suppose 552 = 8*i - f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 85*d**2 - 49*d + 94. Calculate z(2).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -197 + 15. Let v = u + -47. Calculate the lowest common multiple of 272\/v - (-4)\/(-22) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**6\/12 + 11*f**5\/10 + 39*f**4\/8 + 41*f**3\/6 + 7*f**2\/2 + 557. Suppose c(u) = 0. What is u?\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.246295mm in kilometers?\nAnswer: 0.000004246295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 3*q - 4. Let v(x) = -4*x**2 - 3*x + 3. Let y(g) = -3*j(g) - 2*v(g). Determine y(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9)**(-5\/2)*(i*i**(1\/4)*i)**(-20) assuming i is positive.\nAnswer: i**(-135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, z: 3, g: 2, y: 1, d: 1, q: 2}. Give prob of picking 1 z, 1 k, and 1 g.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) 0.4 (c) 7\/4 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3)**(-18)\/((i*(i*(i**(1\/2)*i)\/i)\/i)\/i)**8 assuming i is positive.\nAnswer: i**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r. Suppose r = 3*a + a. Let j be 1*(a\/(-2) + -2). Is j < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2019302ml to litres.\nAnswer: 0.0002019302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8346\/90)\/(-13))\/1 + 7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**7\/840 + g**5\/120 + g**4\/6 + g**2. Let a(u) be the second derivative of f(u). Differentiate a(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:13 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/15)\/((-4)\/(-10)). Let i be 4\/6 - 25\/10. Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 8 = 2*g, -4*v + 5*g - 18 = 2. Suppose -5*o + 64 + 36 = 0. Suppose -o = -5*y - 0*y. Solve y*c = -v*c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879226163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*r + 2, -5*r = -6*b + 24 + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*j + 188, -2*s = s + 3*j - 639. Find the common denominator of -57\/160 and 2 + 435\/s + (-4)\/26.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 - 122. Let j be (3 - (7 - c))*-1. Solve 4*l + j*l + 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1.09, 1, -17 in descending order.\nAnswer: 2, 1, -1.09, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13839*v = 13871*v + 768 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, l: 10, u: 1, q: 3}. Give prob of sequence lud.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(105\/140)\/(18\/(-64)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u - 76. Calculate w(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 1, f: 2, a: 1}. Give prob of picking 1 r and 2 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/401633 and 41\/326717.\nAnswer: 63056381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 - 25 = 0. Let v be (15\/(-6))\/(1\/(-3 + 53)). Let o = 125 + v. Solve o = -m*k + 3*k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -66*d**3 + d**2 + 8*d + 8. Let x be n(-1). Suppose -6*b + x = -35. Calculate the remainder when (-22 - 1)*(-1 - 1) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.60224 meters to kilometers.\nAnswer: 0.07360224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7450*y**3 + 298*y**2 - 149*y - 1043. Let q(n) = 149*n**3 + 6*n**2 - 3*n - 21. Calculate -6*m(c) + 298*q(c).\nAnswer: -298*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 30*b + 1. Let u = 71 + -68. Suppose 5*n - 4*n = u. What are the prime factors of c(n)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*i + 144*i = 432. Solve 0 = -22*n + 4*n + i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Suppose -f*c - 1 = -9. Suppose -22 + 0 = -c*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 11:18 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 179, -211 in decreasing order.\nAnswer: 179, 1, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from cjjjjxjccxjxjxcjdc?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 40. Let p(u) = u**3 + 30*u**2 + u + 34. Let m be p(-30). What is the nearest to g in m, -0.5, -2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 1743?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 599683741, 599683743, 599683745, 599683747?\n\"Answer: 2*l + 599683739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -10000011000010011111?\nAnswer: 10000011000010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -k. Suppose -k*w = 0, 0*w + 8 = -4*g - 3*w. What is the lowest common multiple of 6 and 1\/(2\/(-40)*g)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -98*o + 2. Let i be v(-2). What are the prime factors of (i\/(-44))\/(1 - (-261)\/(-258))?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - 4*k, 4*c = 2*k + 68. Suppose -13*w = -c*w + 30. Suppose -7*x = -w*x + 162000. Round x to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(2 - j - 2) - 2*j - 4*j - 11*j + (-j - j + 4*j)*(2 + 2 - 3) to i*j + u and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24489?\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -391*o - 1154. Determine j(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 2. Let y be 3 + (6 - 3 - -3). Suppose 1 = 5*j - y. Suppose 0 = -c - j*c. What is m(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h. Suppose -d - 8 + 2 = h. Let u(b) = 2*b**2 + 9*b + 1. Is u(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 12) in base 9?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 34 - 154 - 14*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117163 = 5*i + 4*n, -2*i - i + 5*n + 70283 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.8 + -14.85. Let o be ((-2)\/4)\/((-7)\/(-42)). What is the closest to i in 0, 0.1, o, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 123, 119, 115, 111?\n\"Answer: -4*d + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31051 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 105850314 divided by -35283438\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/5*(-15)\/6. Let a(q) = -r + 9*q + 7 - 2 + 0. What is the units digit of a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -19. Let p be (1505\/129)\/(5\/105). Suppose -o*f = -0 - p. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w - 24 - 3*w**3 + 4*w - 9 + 0*w - 15 wrt w.\nAnswer: -9*w**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5664, 11319, 16960, 22581, 28176, 33739, 39264?\nAnswer: 44745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 464 or -261?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 - (-1 + 8\/2). Does 17 divide (10 - g)\/((-2)\/51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74.4 + -5.6. Let t = h - -80.07. Which is the fourth smallest value? (a) t (b) 5 (c) 5\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 6*x - 48. Let h = 27 - x. Solve 4*y - 2 = h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -7. Suppose 5*v = 5*p + 25, -4*v - s*p + 17 = -3*p. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.13 + 393.13. Let y = i + -383.99821. What is y rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -436\/423 + 38\/47. What is the second biggest value in s, 3, -0.1, -0.5, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2736) + -2)**2 + 4.\nAnswer: -48*sqrt(19) + 2744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {s: 2, i: 1, u: 2, t: 1, k: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 6*t + 9. Let a be t\/(-27) + (-10)\/(-3). Are 4 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10050461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 + 5*a - 4. Calculate the remainder when 2227 is divided by t(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6253 is divided by 388.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) + (-2)\/8. Suppose f = 4*h - 42 - 30. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3445*j - 1 + 3 - 2752*j.\nAnswer: 693*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = l + 2*k - 16, 2*l - 40 = 2*k. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33781987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 3, i: 2, y: 6}. Give prob of picking 1 n, 1 y, and 1 a.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 6*n**2 + n - 5. Let v be g(6). Let k(t) = t + 5. Let i be k(0). Suppose -a = -0*a - i. Sort 4, a, v.\nAnswer: v, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 16*n**2. Let j(p) = 4*p**2 + 10*p - 42*p + 3*p + 17*p - 5*p**2. Calculate q(j(s)).\nAnswer: 16*s**4 + 384*s**3 + 2304*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 0*t + 5 = q, 4*t = -4*q - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -22*k**2 - 4*k - 7. Let l(r) = -11*r**2 - 2*r - 4. Let p(a) = 7*l(a) - 4*t(a). Let u(z) = -5*z**2 - z. Calculate 4*p(b) + 9*u(b).\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*g = 113, 5*m + 4*g = 6*g + 277. Suppose -m*l = -75*l. Are l and 1\/878 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 529 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1845*k + 10282. Calculate n(-6).\nAnswer: -788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31925, -63851, -95777, -127703, -159629, -191555?\n\"Answer: -31926*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -61106\nAnswer: 244424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 23*i - 14. Let a be j(22). Solve 2*m + 2*m = -a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324417779?\nAnswer: 7, 6620771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 10*m = 19*m + 5*v, 0 = -3*m + 2*v + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -45, -53, -73, -111?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 86*x = -81*x + 82, 0 = -m + 3*x + 24. What is the least common multiple of 132 and m?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000037225147 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and 203259.\nAnswer: 203232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 4*k**2 + 2*k - 1. Let x be a(-3). Suppose 3*d - 2*d = x. What is the third derivative of -m - m**6 + m - 2*m**d wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-812)\/(-348)*1\/(-7). What is the fifth biggest value in 5, 3, -1, d, 0.082?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 430*m - 5. Let p(x) = 265*x - 3. Determine 5*i(a) - 7*p(a).\nAnswer: 295*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 4*t**5 + t**5 + (0*t - 2*t + t)*(t**4 - 3*t**4 + 3*t**4) + 7 + 5*t**5 + 16*t**5 - t**2 - 2*t**3 - 20*t**5.\nAnswer: -t**5 - 2*t**3 - t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-7)\/x)\/x*x*x)\/x**(-4)*(x**(-2\/7))**39)**(11\/8) assuming x is positive.\nAnswer: x**(-253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 121 - 210 = -610 - 491 for k.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-2) - 6\/(-2))*0. Suppose w = -15*x + 32*x - 323. Is x smaller than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -249\/4. What is the biggest value in 4, 2\/7, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by 41665\nAnswer: 288\/41665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 0.1. Let g = 5.6 - 6. Let r = 0.3 + g. Which is the nearest to -1? (a) -3\/5 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 474.8437mm?\nAnswer: 0.0004748437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/4 + 5*m**3\/3 - 3*m**2\/2 - 1. What is the units digit of a(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1275 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1158, -4653, -10478, -18633?\nAnswer: -29118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/815 in -20, -2\/9, -2\/5, -10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 6:04 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-634)\/(-1585)*10\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*o, 5*o + 0*o = h - 256. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61459 by -56.\nAnswer: -61459\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + (-196)\/(-65))\/(36\/2178420). Let i = 931 - v. Which is bigger: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -11*i**5\/30 - 2*i**4\/3 + i**3\/6 - 10*i**2 - i. What is the second derivative of w(s) wrt s?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 17. Let g(u) = -u**2 + 9*u - 6. Let v(m) = -m. Let y(c) = g(c) - v(c). Let r be y(t). What is the greatest common factor of r and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 10fe?\nAnswer: -10f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (-2 - (1 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*((-2460)\/288 - 1\/8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2156) - sqrt(44))\/sqrt(4) - sqrt(66)\/sqrt(6)*1)**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 12 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a day in minutes?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2. Let r be 1\/2*4 + 8. Let u = r - 4. Let q(p) = -u*p**2 - 9*p**2 + 13*p**2. Give j(q(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 4670?\nAnswer: 9340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) 1\/2 (c) -4 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*k - 96. Let s be 1\/4 - (484\/k - -3). Let f = s + 60. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49034, 196180, 441460, 784904, 1226542, 1766404, 2404520, 3140920?\n\"Answer: 5*v**3 + 49037*v**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/5, 0.4, 4, -2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 8:52 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 9245 and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23, -119, -291, -539, -863?\n\"Answer: -38*r**2 + 18*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 = 3*u. Suppose -u*g - 3*g + 310 = 0. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66280 rounded to the nearest 1000?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 22, 33, 44?\n\"Answer: 11*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i - 2. Suppose p - 19 = i*r, 3*p + 5*r = 20 + 70. Suppose -3*l - 1 = -p. What is the remainder when l is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15660*n + 8142 = 15522*n for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -398.35642 minus -0.5?\nAnswer: -397.85642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.81 - -0.19. Let l = z + -31.999. Let c = -0.519 - l. Round c to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -819*j - 66. Is a(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, m: 1, d: 1, e: 1}. What is prob of sequence qd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - -6. Let w(x) = -x**3 + 17*x**2 - 2*x + 30. Let u be w(d). Let h be (7 - -1)\/2 - 1. Sort 4, u, h in decreasing order.\nAnswer: 4, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and 14207819?\nAnswer: -1278703.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89568437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 311663.6 kilograms?\nAnswer: 311663600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 306. Suppose 50 = -3*p + 4*j + 179, 0 = -3*p - 4*j + x. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.5 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17528329 and 1029?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13981.72 - -0.3.\nAnswer: -13981.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {g: 2, e: 10, d: 1, o: 3, v: 1}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - (-1 + 0)) + (-24626 - -24640)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 183661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27530 * 0.1.\nAnswer: -2753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 3*v - 3*v + (3 + 4 - 6)*(-3 - v + 3) to y*v + c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -104.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1525*t**3*w**2 - t**3*w + 3*t**3 + 779*t**2*w - 140982*t*w**2 + 2*t + 2242*w wrt w.\nAnswer: 3050*t**3 - 281964*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*o + 496*o - 1041 = -7446 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6015 * -104831\nAnswer: -630558465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3484 + -3479. Put -14, -2.3, r, 0.5, -3 in increasing order.\nAnswer: -14, -3, -2.3, 0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/7 - 96*l**2 - 5326*l - 556092\/7 = 0. What is l?\nAnswer: -271, -38, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/19 (b) -200 (c) -10 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5994451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-6)\/x)**43\/((x**(-3\/8)*x*x)\/(x*x\/x**19)) assuming x is positive.\nAnswer: x**(-2213\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03827094 rounded to 4 decimal places?\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**6\/120 + 13*j**5\/60 - 11*j**4\/12 - 5*j**3\/6 + 62*j**2 - 2*j - 2. Determine a(-15).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2544 (base 6) to base 12.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330 - t**2 + 186 + 166.\nAnswer: -t**2 + 682","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.5 - 38. Sort t, 0.3, -0.4 in decreasing order.\nAnswer: 0.3, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccy when three letters picked without replacement from {c: 2, y: 2, v: 1, o: 1, s: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 + 3. Suppose -7*o - 90 = -62. Which is the closest to -0.1? (a) o (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*m**2\/4 + 28*m + 5.\nAnswer: (m + 10)*(11*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 33*w - 109. Let k be p(-29). Let y be 2 + (1 - 0) - -1. What is the third derivative of 12*h**y + 15*h**2 - k*h**2 - 5*h**4 wrt h?\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g - 8*p - 335 = -0*p - 11*p, 30 = -3*g - p - 50 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/5121 - -476249\/10242. Find the common denominator of -70\/9 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 5:26 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 1\/5, -315165.4 in ascending order.\nAnswer: -315165.4, -5, -3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:34 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 - -0.14. What is r rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3946017\/24640 + 7173\/704. Let l = z + -681\/4. What is the common denominator of l and 119\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32154139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -33?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1221450 and 918.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 40 = 5*m, 0 = 4*m + 4*o - 9*o - 5. Let n = m - -6. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 4. Suppose -2*q + 9 = f, 4*q + 5*f = -7 + 34. Suppose -5*a - q*k + t = -k, 5*a = k - 1. Is 1\/8 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1157652 divided by -4.\nAnswer: -289413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30, -1.23, 27.2, -15, 2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**0*r))\/r)**(4\/23)*(r*r**(-5))\/r**(-1\/3))\/((r*r**(-2))**(2\/47)\/(r*r*r*r\/(r*r\/((r*r*r**(-2))\/r)*r*r))**(-5\/2)) assuming r is positive.\nAnswer: r**(-8419\/6486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*u = -184*u + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131.143571 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetrd. What is prob of picking 1 d and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -1\/12*y**4 + 0*y**3 + 0 + 12*y**2 + 0*y. Let g(x) = -90*x**2. Give g(z(p)).\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -171484 divided by -85742?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.05 - -3. Let c = q - 1.95. Let l = c - 0. What is the smallest value in l, 2\/7, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0776 and -17.2.\nAnswer: -1.33472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1465 - -1467. Sort -1, 13, c.\nAnswer: -1, c, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 928361.408 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.969 - 5.369. Which is the closest to -1? (a) z (b) -0.1 (c) 20 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 + 3 = 0. Suppose -3*l + 3*n + 3 = 0, -4*n + 2 = -l - 6*n. Suppose l = 3*j + i*j. What is j rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2644 is divided by 2640.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + i = -2, 3*i = 4*k - 1110 + 1108 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19045619053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*((sqrt(1331)*1 - sqrt(1331)) + sqrt(1331))*6)**2 + 4 + -3.\nAnswer: 1724977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4952611 is divided by 146.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 7:01 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6\/n*n*n*n\/n**(-2)*n\/n**5*n**(-3\/2)\/n*(n**(-2))**42*(n**(-1))**(37\/4) assuming n is positive.\nAnswer: n**(-359\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-72)*(-32)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.060103564 minus 0.07?\nAnswer: -0.130103564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1477*i - 283282. Determine j(192).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 2*h - 2 - 5. Let f be z(-7). Suppose -q = -k + 31, f*q + 54 = 2*k - 4*q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 0*n - 2*n)*(3*n + n - 6*n) to the form v*n + h + u*n**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 1, h: 1}. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 221 - 145 - 76 + 0*w + 21*w.\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m. Let u(v) = -677*v**2 + 3385*v. Give -10155*j(o) - 3*u(o).\nAnswer: 2031*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2046416059.\nAnswer: 29, 70566071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*((3 + sqrt(242) + sqrt(242))**2 - sqrt(242) - sqrt(242)).\nAnswer: -1952 - 220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 i when four letters picked without replacement from {a: 2, i: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + 5*sqrt(70))\/sqrt(10) + -5.\nAnswer: -5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/4)\/(-6)*(-248)\/(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -307753.1 rounded to the nearest one thousand?\nAnswer: -308000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 930105 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1481224253*a*b**2 + 2018382*a*b + 19*a + 2 wrt b.\nAnswer: 2962448506*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*u + 4 = 0, -5*u = -3*a - 0*a + 18. What is the remainder when (1 + (1 - 1))*42 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26210050 divided by -5242010.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at least 464\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from eueledzzeleeeeeetell?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21633047288 to five dps.\nAnswer: -0.21633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, a: 1, y: 2}. What is prob of picking 1 a and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -148.941 to the nearest integer.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3238 + 988 = 3*s. Round s to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*l - b, -2*l + 2 = 2*b + 4. Suppose 0*u - 3 = -u. Suppose -4*h - 2*d + 18 = 0, 2*h = -u*d + 5*d. Solve 5*s + h*y + 3 = l, -4*s - y = -5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1100 - 5?\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1 + 2 = -a, -3 = -t + 3*a. Let z(k) be the third derivative of 1\/30*k**5 + 1\/6*k**4 + 2*k**2 + t*k + 0 + 1\/3*k**3. Find b, given that z(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001100101 + 1011100?\nAnswer: 111011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-34)*n*n*n*n**(-2\/7)*n*(n*(n\/n**(7\/4))\/n*n)\/(n*(n\/(n**14*n))\/n))**38 assuming n is positive.\nAnswer: n**(-8531\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -19.9. Let u = s + -0.8. Which is the second smallest value? (a) 3 (b) u (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c + 12*c - 1)*(61 - 61 + 35*c**2).\nAnswer: 525*c**3 - 35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 14*v + 3*v**2 + 13 - 3*v. Suppose n = 3*n + 20. Let r be d(n). Solve -2*c + 1 = -r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v**2 + 0*v)*(5 - 3 + 0)*(-2 + 0 + 4)*(-2760 + 1883*v + 2760).\nAnswer: -15064*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) -3 (c) 0.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/6)\/u)\/(u*u**(2\/11)) assuming u is positive.\nAnswer: u**(-133\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244973 times 1?\nAnswer: 244973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 7*o + 25, -5*o - 25 = r. Suppose 3 = 4*h - 9. Factor r*v**h - 2 + 2 - v**3 + v**4.\nAnswer: v**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100145 is divided by 4152?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5894 and 309736?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55987, -55986, -55985, -55984?\n\"Answer: i - 55988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3174283188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t - 13. Determine k(7).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -681.\nAnswer: -204.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*a*h**2*l + 7196317*a*h*l + 3*h**2*l + 3988*h*l - 6*l + 73 wrt a.\nAnswer: 46*h**2*l + 7196317*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**4 + 12*q**3 + 14*q**2 - 22*q - 7. Let v(m) = -m**2 + 2*m - 1. Let s(b) = r(b) + 5*v(b). Factor s(x).\nAnswer: 3*(x - 1)*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435 = 141*l - 812 - 2443 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 24*d**2 + d + 4. List the prime factors of s(-5).\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + l + 8. Let n = -0.3 + 0.2. Let a = -48\/95 + 2\/19. What is the closest to n in l, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 55236?\nAnswer: 110472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 (base 10) in base 16?\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3135 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 2\/627, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:13 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8 - 7. Suppose -2*a - 29 = -l*p, 16 = 2*p - 0*a - 3*a. What is the third derivative of 4*q**2 - 26*q**p + 14*q**5 + 3*q**2 wrt q?\nAnswer: -720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 9}. What is prob of sequence nz?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 8. Let s be (-2 - h\/6)*28. Suppose -2*p - 124 = -2*q, q + 2*p - s = -3*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3178)\/21)\/(12\/(-2790)) - (5 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92964 and 3048.\nAnswer: 185928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 96. Let f(o) = -3*o. Calculate a(f(x)).\nAnswer: -18*x**2 + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i + 4. Let g = 22 - 16. What are the prime factors of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 277 + -293.8. Which is the second smallest value? (a) 1\/3 (b) -9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*((-143)\/(-390) - (-21)\/(-210))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1897 - -1893. Sort b, -5, 3, -3, 0 in decreasing order.\nAnswer: 3, 0, -3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -98. Suppose i = m - 3*o - 45, -5*o - 69 = 4*m - 198. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*y + 2)*(-3 + 3 - 2*y)*(-y**2 + 0*y**2 + 2*y**2).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40384026 = -25*y + 19*y. Let j = 11086483 - y. Let q = j - 11055812. What is q rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*q - 2*q - 20 = 0, 27 = s - 5*q. Let x(k) = -7*k**2 + 9*k - k**3 + 0*k**s + 8 + 0*k**2. Is x(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -142444, -284777, -427110, -569443, -711776?\n\"Answer: -142333*f - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (-15 - -16) + 1*193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-20)*4 + 28 + 58\/(-2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558172 is divided by 24267?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-8) + (-26943)\/84. Calculate the remainder when 347 is divided by (y\/16)\/(2\/(-5)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 210, 422, 790, 1326, 2042, 2950, 4062, 5390?\n\"Answer: 2*x**3 + 66*x**2 + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/60 - s**3\/3 - 2*s**2. Let f be m(2). Let q be f\/(-6) - (-15299995)\/(-15). Round q to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + sqrt(243) + (sqrt(243) - (sqrt(243) + -2*(sqrt(243) + -2) + sqrt(243))) + sqrt(243))**2 + -4*(((1*sqrt(243))**2 - sqrt(243)) + 2 + sqrt(243))).\nAnswer: -108*sqrt(3) + 2416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4721.\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -143. Let v be (-72)\/z + 83\/4. What is the highest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.081739626 + 0.08173. Round x to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12424562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 621*b**2*c*t**3 - 400*b**2*t**3 wrt c?\nAnswer: 621*b**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631629?\nAnswer: 1631629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 11403598.\nAnswer: -2\/5701799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 74*n\/3 - 25.\nAnswer: (n - 75)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(8))*5 + 2 + 5)**2.\nAnswer: 640*sqrt(2) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -7. Let i(y) = y**3 - 7*y**2 + 5*y + 1. Let o be i(p). Let u(x) = 3*x - 2*x - 3*x. Let b(k) = 4*k + 1. Give o*u(l) - 2*b(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 272742 and 456?\nAnswer: 20728392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887\/2 - 14\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1803 (b) -0.4 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-324)\/567*42\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(2*(-2)\/4). Suppose -5*i - 15 = 4*l + g, 5*l - 4*i + 2 = 0. Is 19 a factor of -1 - 50\/(1*l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39bda + 1e?\nAnswer: -39bbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1050750956?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 228*r - 225. Let i(u) = -45*u + 44. Give -16*i(o) - 3*v(o).\nAnswer: 36*o - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2376795*v**2 + 11580*v - 5790. Let b(l) = -2874*l**2 - 14*l + 7. Give -5790*b(i) - 7*n(i).\nAnswer: 2895*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131545 - 2?\nAnswer: 131543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j - 3*c + 25 = 0, 0 = -c + 5. What is the third derivative of 33*o**j - 9 - 24*o**6 + o**6 + 9 wrt o?\nAnswer: -2760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6024, -50, -2\/35?\nAnswer: -0.6024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 = -15. Solve 0 = -10*f + l*f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -113052?\nAnswer: 113103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*t - 208 = 204*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 10, b: 4}. Give prob of picking 1 v and 2 b.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**2 + 2*a**3 - 4*a**2 - 7*a**2 + 14 - a**3 - 31*a. List the prime factors of l(19).\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 5*q**4\/12 - 4*q**2. Suppose -w - 5 + 1 = 0, 5*i = 3*w + 13947. Let l(h) = i*h - 1395*h - 1393*h. Calculate a(l(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/135)\/(22\/(-935))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 11. Let x = 0 - g. What is the units digit of ((-15)\/(-20))\/(x\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3003 and -37\/39.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -g - 3*j, 2*g - 5*j + 8 - 2 = 0. Let z = 13 + -18. Let o = g + z. Solve 3*t - o*k + 16 = 0, -4*t - t - 3*k = 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 3*t - t. Let b(i) be the first derivative of -i**3\/3 - i**2 + 1522. Let s be 1\/((-5)\/4 + 1). Calculate s*g(m) + 2*b(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -7*k. Let w be x(-2). Suppose 138 = 5*l - 2*f, -4*f = 3*l - 74 - w. Is 2*-1 + l + -3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 238 - 236. Let y(x) = 0*x**f + 107*x - 113*x + x**2 + 9. Give y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -529*d**3*g**2*s - 87*d**3*g*s - 69*d**3*g - 7*d**2*g**2*s - 13*d**2*g - 3*d*g**2*s - 3*d*g**2 + 26*d*g wrt d?\nAnswer: -3174*g**2*s - 522*g*s - 414*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/43))\/((((d**(-1\/15)\/d)\/d*d)\/d)\/d))**25\/((d**(-1\/5)\/d*d)**(-2\/27)*d*d**(5\/4)*d*d*((d\/(d*d*d**(1\/7)))\/d)\/d) assuming d is positive.\nAnswer: d**(16531537\/162540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -211, -192, -183, -190, -219, -276, -367, -498?\n\"Answer: -s**3 + s**2 + 23*s - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.2. Let c = 2.0853 + 0.0447. Let f = -0.13 + c. What is the biggest value in l, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a11971 - 2?\nAnswer: 6a1196c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9035718.\nAnswer: 2, 3, 1505953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 135664?\nAnswer: 135664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 756907\/1200 + -10153\/16. Let f = -2\/75 + b. Calculate the common denominator of f and 58\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 19*r - 6*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31485902 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 394 + -393.8. What is the nearest to 2 in 1, -0.4, -3, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/1716 and -103\/2704?\nAnswer: 89232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 4804?\nAnswer: 4807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/8481 and -23\/165.\nAnswer: 42405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/12 (b) -0.3 (c) -140 (d) -1.1 (e) 6\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**5\/120 - 71*n**4\/8 + 425*n**3\/12 - 257*n**2. Let g(k) = 0. Calculate k.\nAnswer: 1, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 10) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - -4 - -8) + -3. Suppose v = -r - 2*r + 120. What is the least common multiple of r and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.035169 + -896?\nAnswer: -905.035169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/6 + -3)\/(6\/4). Let q = 0.048 + 10.952. Let d = -6 + q. Which is greater: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4553 (base 8) to base 9.\nAnswer: -3268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 3. Let r = 0.27 - 51.27. Let v = r + 51.4. Which is the second smallest value? (a) o (b) v (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 1859919?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -237 + 434. What is the remainder when k is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -81, -118, -153?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*(20\/3)\/2. Put -1, -3, f, 0.3 in ascending order.\nAnswer: -3, -1, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -3 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2989*i**2 - 34*i - 5. Let c(k) = -1495*k**2 + 20*k + 3. Give -5*c(o) - 3*t(o).\nAnswer: -1492*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(-4*(-2*sqrt(304) + sqrt(304)) + (sqrt(57)\/sqrt(3) + 4 + sqrt(19) - (4 + sqrt(19)*-2)) + -3)**2.\nAnswer: -45652 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18259146?\nAnswer: 2, 3, 1014397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -n + 35, 60321 = -n + 4*x + 60370 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-21)\/6)*(-1 + 2). Sort -1, -2, s, -0.1 in decreasing order.\nAnswer: s, -0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f**3 + 68*f**2 + 26*f - 73. Let d be i(7). Solve -12*a = -d*a + 6 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (-1 - (0 + 4)). Let i(h) = -2*h - 78. Let l be i(-31). Let t(u) = -u**2 - 15*u + 12. Let m be t(l). Sort 1, 5, o, m.\nAnswer: m, 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 252 = -23*s. Let i = 187 - s. Does 38 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120 + 185. Suppose -k + 66 = q. Suppose 4*z - 3 = -4*t + q, -3*z + 15 = 5*t. Solve 2*c - t = -16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6 or 12169?\nAnswer: 12169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 12*g + 29. Calculate v(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 30*y**3 + 8*y**4 + 8*y**4 - 17*y**4 + y**2 - y in the form x*y**3 + r*y**2 + s*y + a*y**4 + z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75.915 - -75. Let d = -0.108 + 0.023. Let p = z + d. Which is the second biggest value? (a) 1\/2 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11640 and 26384.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*w - 55*w + 61*w + 55*w - 5404 = 0 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6745*w**2. Let r(n) = 71*n**2. Calculate 3*l(i) - 284*r(i).\nAnswer: 71*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 - -2.8. Which is greater: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5 = 75. Let u = f + -19. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = m + 4*o - 13, -m = -2*o + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -312997, 16 in increasing order.\nAnswer: -312997, -2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-99))\/((-16)\/96*-8).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*l - 66*l + 265 = -147*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.258078 grams in kilograms?\nAnswer: 0.004258078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -12*x + 9. Let f be 2\/(-13) + (-286)\/338. Let t be w(f). Calculate the greatest common factor of t and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/60 + 5*f**4\/12 - 5*f**3\/6 - 2*f**2 + 6*f. Let s(r) be the first derivative of l(r). Give s(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + x - 3*x + 0*x.\nAnswer: -2*x - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 4*p**3\/3 + p + 10. Calculate b(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/364 and 33\/406.\nAnswer: 10556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*l**3 + 2*l - 2*l**4 + 2*l + 2*l - 5 - 6*l in the form x*l**2 + t*l**4 + y*l + v + q*l**3 and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36183 is divided by 690?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 7:56 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110110110 + 100?\nAnswer: 111001110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -1. Suppose b - 3*f + 7 = -x*f, -4*b + 20 = -4*f. Let g(v) = 16*v**2 + v - 1. Is g(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.31 rounded to 0 dps?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4375.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -70169 rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*sqrt(19)*1 + -1*-2*sqrt(19) + sqrt(684) + 2 + sqrt(684) + 1)**2.\nAnswer: 270*sqrt(19) + 12852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 676 - 673.375. Round c to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p)**18*(((p*p**6*p)\/p)\/p*p)\/p*p**(1\/4))\/(p**(-1\/3)*p**(3\/8)*p**(3\/4)\/p*p**(-1\/3)) assuming p is positive.\nAnswer: p**(163\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or -93\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 171152\/11 or 15560?\nAnswer: 15560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 + 2*d**3 + 0*d**3 + (-37*d**3 - 37*d**3 + 64*d**3)*(-3 + 2 - 1) to the form x + b*d + k*d**3 + t*d**2 and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*m - 19*u + 16*u, -u - 7 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8 + (-40)\/(-4) + 1775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 22*r**2 - 3*r - 3. Let t(p) = -23*p**2 + 4*p + 4. Give 4*h(o) + 3*t(o).\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 9 = -1. Let y = 2 + q. Find the second derivative of 0 - b + y + b**4 wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 168.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 6.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*r + 24. Sort r, -3, 5, -2.\nAnswer: -3, -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -19. Solve 5*f - 2*k - 6 = 4, -6 = -3*f - a*k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.0595, 4, -6?\nAnswer: 0.0595","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -752 + 1339. List the prime factors of s.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9606479711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = 9, 0 = 4*g + h - 207. Suppose -4*m = z - 864, 2*m + 2*z = 283 + 155. What is the remainder when m is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -31*i**4\/9 + 3563*i**3\/9 + 29*i**2 - 3563*i\/9 - 230\/9 = 0.\nAnswer: -1, -2\/31, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685*f**2 - 37*f - 1962*f**2 - 448*f**2 + 37*f.\nAnswer: -3095*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -26. Let m = 45\/46 - 11\/23. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/(-56) + 11\/72. Sort -7, 12, x in descending order.\nAnswer: 12, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/59, 0.04, 0.28, 0.3, -0.3?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/2, -2\/73, 4 in increasing order.\nAnswer: -2\/73, 1, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1123 + 562 + 562 + o**4 + 22*o**2 + 2*o**3 to l*o**3 + t*o**2 + z + c*o + y*o**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/4 - -1)\/(3\/(-48)). What is the greatest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keseskkklkkhkkkkskn. What is prob of sequence sl?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(28)\/sqrt(4))*4)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 32.23. Let x = u + 0.23. Let d be (-2)\/8*1*-1. Which is the biggest value? (a) x (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1 + k**3 + 2 + 39*k**2 - 28*k**2 + 0*k**3. Suppose -1 + 12 = -f. Let w be h(f). Solve 0 = -w*s - 5*l, -2*s - 4*l + 0 = 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81775973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/(-504)*(-12)\/(-10)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 2\/9, 2\/7 in decreasing order.\nAnswer: 6, 2, 2\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one halves of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-2\/9)))\/w*w*w)**25\/(w**(-7)\/((w\/w**(3\/4))\/w)) assuming w is positive.\nAnswer: w**(1325\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108190 - 54862. What are the prime factors of u?\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3388 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 12, o: 1}. Give prob of picking 1 o and 2 u.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {g: 3, w: 2, p: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 6*a**2 - 1. Let l be r(-6). Let m be 813\/12 - l\/4. Suppose -m = -0*y - 2*y. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.02 + 0.02. Let d be (487 - -2)\/((-70)\/30) + 4. Let h = d - -206. Which is the nearest to 1? (a) h (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r + r**2)*(5 + 5 - 3) as j*r + b + f*r**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 43\/15 + 4\/30. Find the common denominator of 31\/2 and a + 124\/(-40) + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 11*y**2 + 11*y + 5. Let p(w) = -3*w**3 - 32*w**2 - 32*w - 14. Let t be 34\/4*(6 - 8). Let i(c) = t*j(c) - 6*p(c). What is i(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2175 and 21025.\nAnswer: 63075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1776098, -3552212, -5328326, -7104440, -8880554, -10656668?\n\"Answer: -1776114*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -466*k - 85. Let v(o) = 291*o + 56. Let j(p) = 5*h(p) + 8*v(p). Let z(w) = -2*w + 22. What is 4*j(c) - 5*z(c)?\nAnswer: 2*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1892 - 1754. Calculate the least common multiple of 12 and z.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 12. Let k be b(5). Suppose 4*v + k*p - 171 = 0, -128 = 4*v - 7*v - 2*p. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 - w + 6. Let m be x(0). Solve -2*l + 4 = -3*d, -3*l - 3*d = -m*l + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in seconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 763*b**2 + 2270*b + 7600.\nAnswer: (b - 760)*(b - 5)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 11*r - 26. Let u(s) = 4*s + 55. Let h be u(r). Find the third derivative of -3*z**4 - 10*z**2 + 42*z**5 - 41*z**5 + h*z**4 wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 2981004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5\/15 - 8*(-4)\/(-96))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5698 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 4:22 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 743217622 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Let m be (-3)\/(0 - (-2 + 3)). Let v = m + -3. Solve v*r - 2*r + 14 = -z*p, 0 = 4*r - 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -2279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u - 1. What is p(8)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-42)*6\/(-12).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1613845597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -106*t**2 + 1. Let n be l(1). Let d be (10\/6)\/((-7)\/n). What is the second derivative of -d*v**4 + 26*v**4 + v - 3 + 3 wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -3\/7, 2, -3\/2, 11\/25?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 36, 4, 71 in decreasing order.\nAnswer: 71, 36, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:01 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -2, -2\/5, 53\/6, 0.07?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 6*a - 2. Suppose 3*g - 6 = 9. Let l be v(g). Solve -3*h - 3*k - 16 = -5*k, 4*h + l = 2*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 175\/1975394?\nAnswer: 175\/1975394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -341*t**2 - 121*t. Let s(j) = -17*j**2 - 6*j. Let b(q) = -6*n(q) + 121*s(q). Calculate b(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106 - 123) + 12 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*p + 9. Which is the nearest to 4? (a) 5 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = p + 5*r + 75, 5*r - 275 = -5*p. Let v(i) = -i**2 - 9*i + 3. Calculate the remainder when p is divided by v(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609481.\nAnswer: 139, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 209*t - 103*t + 2332. Sort 12, t, -3, 1 in increasing order.\nAnswer: t, -3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1797 by 1.\nAnswer: -1797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, i: 7, f: 2}. What is prob of picking 1 r, 1 i, and 1 f?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6. Let p be (1 - 1)\/(z + (-8)\/(-4)). Solve 0*w - 3*o = 3*w + 6, w - 3*o - 18 = p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -39. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**1)\/x)\/(x**8*x))**45 assuming x is positive.\nAnswer: x**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 27 = -3*s, 0 = -2*s + 5 - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.13, -5, -2\/3 in ascending order.\nAnswer: -5, -1, -2\/3, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 + 5*c - 5*c)*(-6*c + 3*c + 4*c) + (0*c**3 + 0*c**3 + c**4)*(-4*c + 4*c - 2*c) + 2*c**4 - 2*c**4 - 2*c**5 - 66*c**5 + 73*c**3 - 73*c**3.\nAnswer: -67*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3306 + 2458. What is the highest common divisor of 44 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002405523 to 6 decimal places.\nAnswer: 0.000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 1790, 4411, 8082, 12797, 18550, 25335?\nAnswer: 33146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -923385 (base 10) in base 13?\nAnswer: -2643a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 30792360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 1258529.8236332.\nAnswer: 1258528.8236332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1475366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 3*b + 32. Let l(k) = k**2 - 2*k + 20. Let r(j) = 8*l(j) - 5*m(j). What is r(-4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110121110211 + 10?\nAnswer: -110121110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13254*h**4 - 2*h - 2*h**2 + 3*h + 13112*h**4 wrt h?\nAnswer: -3408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 422015312 and 295707.\nAnswer: 422311019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -695, -1393, -2091?\nAnswer: -2789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 divided by -206?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + -1 + -6 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -208, -315, -422?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**11\/f)\/f*(f*f\/f**(-2))\/f)**(-45)*((f\/f**(2\/9)*f)\/(f**(-4\/11)*f))**(-6\/23) assuming f is positive.\nAnswer: f**(-410086\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*v**2 - 855207*h**2*v - 2*h*v**2 - 3262881*h wrt h.\nAnswer: -2*v**2 - 1710414*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43376, -42454, -41532?\nAnswer: -40610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 262243 (base 7) in base 14?\nAnswer: 13b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - i**2 + i - 1. Let b(k) = -468*k**3 + 8*k**2 - 8*k + 8. Determine b(j) + 8*p(j).\nAnswer: -484*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.1 + -0.1. Put -4, 1\/3, x in decreasing order.\nAnswer: x, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 1065*q**2 - 56175*q + 57245.\nAnswer: -5*(q - 1)*(q + 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 7*a + 10. Let r be x(-7). Suppose -8*b + 5*y = -3*b - r, 5*y - 2 = 3*b. What is the lowest common multiple of 3 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 4. What is the smallest common multiple of o(7) and 32\/5 - 21\/(-35)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3829 + 3816 = -5*k, 4*c - 5*k - 7*k = -5*k - 83 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:35 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -345482671 + -3?\nAnswer: -345482674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 3. Let r(k) = -k**2 - 4*k - 3. Let c be r(-3). What is the units digit of t(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*r - 1413*r - 2640 = -747*r for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69.661 + -69.661. Let n = 94.98 + -93. Let s = -0.02 - n. Put s, v, -69 in descending order.\nAnswer: v, s, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = 46*q - 1440. Let u = 33 - 27. Calculate the greatest common factor of q and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32 + (-386)\/12 + 278\/12. Let n(l) = -l**3 + 23*l**2 + 2*l - 53. Calculate n(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 82*y + 5. Let w be s(-6). Let h = -317 - w. Suppose h = 4*n + 58. What is the greatest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:39 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-42)\/4 + (-1)\/(-2). Let g = 14 + c. Suppose -1 = 3*m + 5*h, 3*m - 5*h - 23 + g = 0. Solve 2*w = m*l + 4 + 1, -2*w + 5*l + 11 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -138*y - 1. Let j(a) be the first derivative of -3*a**2\/2 + 6*a + 5. Let t be j(3). Is i(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 47 = 337. Let m be (-210)\/(-26) - 144\/g. Factor 14\/13*a**3 + 36\/13*a - m*a**2 + 16\/13.\nAnswer: 2*(a - 4)*(a - 1)*(7*a + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from mhrrrsbbmromrhr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111\/5 + -787\/35. Let p = -0.06 + 4.06. Suppose 36*z - 152 = 20*z - 60*z. Which is the biggest value? (a) p (b) -3 (c) z (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1376 - 5?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 152509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7772 and 1566058?\nAnswer: 3132116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - -145. Let c(i) = -5*i**2 - 17*i - 6. Let g(q) = -14*q**2 - 50*q - 19. Let x(p) = -17*c(p) + 6*g(p). What is the tens digit of x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(4 - 227*n**4 - 2 + 225*n**4).\nAnswer: 4*n**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 20*h - 25. Determine d(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -56.222. Let f = 0.21 - v. Let a = -0.012023 - f. What is a rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*p**3*r - 6*p**3 - 2*p**2*r + 33*r wrt p.\nAnswer: -84*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.04603 + -0.04603. Let p = 9.9 + 3.1. Let g be 6*(10\/4 - 2). What is the second biggest value in o, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 145505?\nAnswer: -145504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + -18 - (-19 + -18 + 9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o = -n, -25*n + 3*o = -22*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x - 26*x**2 - 24 + 15*x**2 + 10*x**2 in the form m*x**2 + b + g*x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2512*x + 185504. Determine s(74).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.328 + 0.428. What is y rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/1345, 2, -5, 0.05, -8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2483 + 2482. Which is the fourth smallest value? (a) -36 (b) m (c) 1 (d) -0.05 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n - 1. Let m(c) = -4*c**2 + c - 2. Let g(i) = -m(i) + 3*r(i). Suppose -4*p - 2*q = -6, -2*q - 12 = -2*p - 0*q. What is g(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*m + m - 2*m)*(6*m - m - m) + 0 + m**2 + 0)*(5*m - m - 2*m).\nAnswer: 42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 82, 74, 3, 1\/83, -2?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/3 + 282*w**4 + 171281*w**3\/3 + 12988064*w**2\/3 + 121800640*w + 3387225088\/3 = 0.\nAnswer: -592, -104, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/v)**(-31\/2)\/((v*v**(-6\/5))\/(((v\/(v**(-7)\/v))\/v)\/v)) assuming v is positive.\nAnswer: v**(-393\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/((-36)\/16) + -17. Is i at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -370 (b) 0.3 (c) 0.1 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -20 + 6*s + 37 - 21. Let q(v) = -7*v + 4. Let f(h) = -4*n(h) - 3*q(h). Differentiate f(d) with respect to d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 0*f**3 - 3 + 4 - 3*f + f**3 - 4. Let c(a) = -2*a**3 + 4*a + 4. Give 2*c(j) + 3*s(j).\nAnswer: -j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*a**2\/5 - 107*a\/5 + 2.\nAnswer: (a - 5)*(21*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*m + 229*m = 116*m - p, m - 4 = -2*p - 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8\/3)*d*d**(6\/7))**31\/((d**(-1))**(17\/5))**(-11) assuming d is positive.\nAnswer: d**(-6562\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -5*f**6\/6 - 11*f**5\/2 - 115*f**4\/12 - 5*f**3 - 39*f. Let h(o) = 0. Calculate o.\nAnswer: -3, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6394586*g + 2081888 wrt g?\nAnswer: -6394586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15721545 to the nearest integer?\nAnswer: 3965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 356, 707, 1058, 1409, 1760?\n\"Answer: 351*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 171, 173, 175, 177, 179?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*y**5 + 28\/9*y**4 + 0*y**3 + 0*y + 0*y**2.\nAnswer: -2*y**4*(y - 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*y - 80 = 3*y, -y = 4*w - 307. Calculate the highest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 313*b - 3833. What is the remainder when 644 is divided by r(13)?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.4 + 6.4. What is the closest to 2\/5 in 2\/7, l, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 7\/20*x**5 - 49*x**2 + 0 + 0*x**4 + 0*x + 0*x**3. Let a(r) be the second derivative of -r**4\/6 + 2*r. What is a(s(f))?\nAnswer: -882*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*x - 3*j + 8*j, 3*x - j = -2. Let y(n) = -28*n. Let q be y(x). Solve -3*w + q = 7*s - 2*s, 4*s + 4*w - 24 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*z + 18, 0 = -4*t - z + 4036. Suppose 16*n - 704 = t. Suppose 2*i + n = x + 4*i, -i - 491 = -5*x. What is the greatest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -642, -1592, -2932, -4668?\nAnswer: -6806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 11 + 17)*(-4 + 7 + g + 0*g) in the form c*g + d and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**5\/3 - 1225*f**4 + 684395*f**3\/3 - 1115075*f**2 + 2664500*f\/3 = 0?\nAnswer: 0, 1, 4, 365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 10522.8428 to the nearest one hundred.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a**2 - 208*a + 16. What is the smallest common multiple of c(-33) and 6?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -17.5. Suppose 4 = -6*j + 10. Which is the second biggest value? (a) 3 (b) r (c) j (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 24 = 2*v, -4*v - 3*m = -14 - 34. Solve -x - 9 = -y, -x = -4*y + v + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 8 + 7*y**4 - 3*y**4 - 4*y as t*y**3 + m*y**4 + z + u*y + o*y**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -9) + -5 + 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63 - 4*c**3 + 63 + 0*c**3 + 0*c**3 + c**3 + (1 - 5 + 2)*(5*c**3 + 0*c**3 - 4*c**3) - 2*c**2 + 2*c**3 + 2*c**2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/5*q**3 - 990 - 12381\/5*q - 1488*q**2 = 0 for q.\nAnswer: -825, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in 1\/3, -6\/7, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(297)*2)\/sqrt(11))\/(-5*sqrt(48)))\/(sqrt(4800)*-2*-6).\nAnswer: -sqrt(3)\/4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -103059.138 rounded to the nearest one thousand?\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Divide -90244 by -1.\nAnswer: 90244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 1\/80*g**5 - 7*g + 0 - 1\/24*g**3 - 1\/48*g**4 + 1\/8*g**2. What is p in l(p) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 12. Suppose 0*x + x = v. Let m(n) = 4*n**2 - 4*n**2 - x*n**2 + 2*n**2. Let c(i) = 6*i. Give m(c(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*r**3*x**2 + 2*r**3 + r*x - x**3 - 8 wrt x?\nAnswer: -172*r**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -17, 7, 64, -4, -3, 3 in increasing order.\nAnswer: -17, -4, -3, 3, 4, 7, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13700*m - 14638 wrt m.\nAnswer: -13700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 11:25 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let v be (18\/(-21))\/(1\/7). Let h(z) = -2*z + 7. Let f(d) = v*q(d) + h(d). Let n(l) = 9*l + 15. Determine -13*f(w) + 6*n(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -10673.4.\nAnswer: 42693.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(10\/3)*l*l**(1\/3))\/(l**(-26)\/l*l**(-1\/27)) assuming l is positive.\nAnswer: l**(883\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 4*y - 12. Suppose -167*v + 80*v = -609. What is f(v)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5244.268 rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132326155?\nAnswer: 5, 13, 149, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + -17 + (13 - 20).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 65650322.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-96)*-2)\/((-14)\/124*1389\/6482)?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 0.03, 3, 3\/71, 1\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**2 + 3*f + 6. Let n(o) = o**2 + 2*o - 2. Let a(h) = h + 1. Let z(k) = 2*a(k) - n(k). Let c be z(0). Give t(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254090 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 41 + (74 - 123) - -27\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 4. Let l be h(-4). Suppose 5*v = 5*d + 15, 3*v - 10 = 2*d - l. Let a(r) = -2*r**3 - r**2 + 2*r - 1. Give a(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bppb when four letters picked without replacement from tpaatbamaltt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -8, 4, -2, 3, 1161 in decreasing order.\nAnswer: 1161, 28, 4, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 125330 and 1079664.\nAnswer: 1204994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:47 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l + 1. Let x be r(1). Let s(v) be the first derivative of -1\/2*v**2 + 14 + 6*v. What is s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/1*480\/1320?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/180*2\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(1\/(40\/72))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + (-6)\/((-84)\/13). Let x be (4 - (-1 - -1))*-1. What is the second biggest value in n, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 2*t - 36, -z + 8 = -5*z - 3*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4660.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 105.97. Let s = c - -25. Let l = 0.03 - s. What is the fourth smallest value in 0.3, 4, l, 6\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l = -30*l - 3. Solve 0 = 3*i - 5*i + f, l*f = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 5. Suppose 4*w - z = 3*w. Let v be ((-1)\/2)\/(w\/(-14)). Are v and 3\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6 + 7\/(-22). Let s = -524.7 - -525. Put 4, s, n in decreasing order.\nAnswer: 4, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 + 6*a**2)*(50 + 2*a - 6*a - 55) as d*a + n + f*a**3 + y*a**2 and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 209, 221, 257, 329, 449, 629, 881, 1217?\n\"Answer: 2*q**3 - 2*q + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:09 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**3*v - 12483*f**3 - f**2*v + 4826*f*v wrt f?\nAnswer: -18*v - 74898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -4*h + 1892. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -46*u**3 + u**2 - 3*u + 1. Let l be q(1). Suppose 5*s = s + 12, 223 = 5*h + s. Let k = h + l. Are 0 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 10 + 21 = -l + 7*k, -25 = 3*l + 421*k - 425*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*l + 12 = 0. Let q be 2\/7 - 162\/(-21). Let d(b) = -b**2 - 24*b + 4. Let n be d(-24). Solve n*s + q = 0, -5*y = 5*s + l - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2300553*b**4 + 14*b**2 - 19746?\nAnswer: 55213272*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:01 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**3 - 6*u**2 - 5*u - 45. Does 30 divide d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyykkkfklyzxkff. Give prob of sequence zy.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3580 - 3572. Solve 2*a - y = u, -3*a + 26 = u + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-14))\/((-9)\/(-1)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4873.5 - -4873. Which is the third smallest value? (a) 5 (b) q (c) 1\/964\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*q + 71 = 55, 3*q - 8 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41812728 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 3*l + 2*l + (3*l - 2*l + 0*l)*(2 + 1 - 2) + 39*l - 2267 + 4571 - 2284 as a + y*l and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2681\/3 in 2\/9, -3, 0.4, -850?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + a**2)*(11 - 11 - 2*a)*(-3 + 1 + 1).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2056005 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1003*n + 999*n + 239*n**3 - 245*n**3.\nAnswer: -6*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {e: 4, n: 1, k: 11, q: 3}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69 * -23.32.\nAnswer: 1609.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 0, 46, 15 in decreasing order.\nAnswer: 46, 15, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1656 * 4.\nAnswer: -0.6624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 48 = a. Let s = a - -40. Let g = s - 19. Solve g*k + 5*n - 40 = 0, 22 = 5*k + 2*n - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263352842 to the power of 1\/3, to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 86 - 423?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 1785 = -2*d. Suppose 2*n + d = 1079. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -1. Let r(t) = 29*t + 1. Let n be r(1). Suppose n = -q + o*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17587 and 2139035.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1)*((-60)\/8 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from ajjaycaaa?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*t - 3, 3*t - 583 = -5*u. What is the highest common factor of 29 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 1458*d**2 - 76 - 1460*d**2.\nAnswer: -2*d**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -906*q**3 - 10*q**2 - 2*q + 47. What are the prime factors of g(-3)?\nAnswer: 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 3, v: 1, k: 7}. What is prob of sequence sx?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1980 + -1961. Calculate the greatest common factor of a and 1843.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1893 divided by -1\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**5\/6 - 5*c**4\/2 - 5*c**3\/3 + 10*c**2 + 28*c\/3 = 0.\nAnswer: -14, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/34 and -79\/74.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2 + 1329*w - 26334 = 0. What is w?\nAnswer: -462, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 9*u**2 + 2*u - 2. Let x(a) = 3*a - 9. Let m be x(6). What is the remainder when 46 is divided by s(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028645 less than -2346.091?\nAnswer: -2346.062355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -13. Suppose 0 = -a + 37 + 1. What is the remainder when a is divided by -3*2\/i*-13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -316*n - 5161. Let v be h(-49). What is the greatest common divisor of v and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/80)\/((-2)\/(-5)). Let r = 127\/3 - 43. Which is the nearest to r? (a) v (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 2*m**2 + 3*m - 4. Let b be i(2). Suppose -1 = -t + b. Determine f so that 0*f**3 - f**5 + 2*f**t + 2*f**2 + f**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 - 5*n. Suppose -3 = -g + 3. Let b(d) = -5*d**2 + 6*d. Let r(l) = g*u(l) + 5*b(l). Let s(i) = -2*i. What is r(s(h))?\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/15*6815\/94.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*l - 2*o - 0, 2 = -2*l + 5*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1246186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2850 and 55800?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002167040583 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 10.7, -192 in decreasing order.\nAnswer: 10.7, -7, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -0.2, -1, -0.02.\nAnswer: -1, -0.8, -0.2, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1111 - 0?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let d(r) be the third derivative of 23*r**5\/12 - r**4\/8 + 658*r**2 - 2*r. Give h(d(j)).\nAnswer: 230*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - 1) + 1 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**11\/a*a*a))\/(a*a\/(a\/((a**(-2\/5)*a)\/a)))*(a\/(a*a\/(a*a*a**(-3)\/a*a)*a))\/a**(9\/2) assuming a is positive.\nAnswer: a**(-191\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 a factor of 29659511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/21 - -62\/105. Let l be -3*(1 - 2) - 0. Suppose l*a = -2*a. Which is smaller: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, m: 7, v: 1, e: 2, l: 1, n: 1}. What is prob of picking 1 e, 1 n, and 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 36*h. Let j = 18 + -12. Let r be ((-2)\/j)\/(1\/(-3)). What is the units digit of i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 91*q + 0*q**2 + 31*q + 5*q**3 - 2*q**3 - 71*q.\nAnswer: 3*q**3 + q**2 - 131*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 119*y**2 + 162*y + 126. What is the lowest common multiple of z(-61) and 2010?\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 5*y**2 - 2. Let m be f(-5). Let q be (2 + 2)\/(m\/5). Let n(l) = l**3 + 10*l**2 + 10. Is n(q) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27149 = 837*i + 50408 - 12857 + 9793 for i.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*x - 21, -2*x + 3 = 5*m - 5*x. Let k be (-20)\/(-3) - 2\/m. Solve 0*t + 4*f = 5*t + k, -t + 5*f = -3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*d**3 - 27*d**3 - 21*d**3 - 2*d**2 - d**4 - 21*d**3 - 10 as s*d**2 + b + h*d**3 + k*d + j*d**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -1008, -1852, -2916, -4194?\nAnswer: -5680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - (-12)\/8. Let f = -0.2 + 0.7. What is the second smallest value in o, f, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48, -100, -166, -252, -364, -508?\n\"Answer: -c**3 - c**2 - 42*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**2. Suppose -j + 6*q + 10 = 3*q, -2*q = 6. What is h(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -1519*m**6\/120 + 511*m**5\/12 + 3821*m**2. What is the third derivative of x(f) wrt f?\nAnswer: -9114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/147 + -17\/49. Let h = -1.18 - -0.28. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -257\/4. Factor g*z**4 + 0*z + 1\/4*z**3 + 0*z**2 + 0.\nAnswer: z**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - -1.4. Let m = x + -0.1. Let s = 0.05 - 0.05. Which is the closest to -0.1? (a) -2\/5 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 146?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 2*l**2 + 8*l + 8. Let w be i(-5). What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 3*j, 0 = -5*f - j + 54 - 42 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.2 (b) 0.4 (c) -1\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1908.3, -0.3 in decreasing order.\nAnswer: 1908.3, 1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29500511 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000561 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28702911?\nAnswer: 3, 41, 233357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/78 and (-2)\/14 + 7337\/1232.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 f when three letters picked without replacement from {f: 6, p: 4, l: 10}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 8*m**2 + 3*m - 7. What is q(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 6, 3*v + 3*t - 129 = 0. What is the lowest common multiple of 20 and v?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0835 - 0.07947. What is a rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f - 20. Let s be p(5). Let o be (1\/1)\/(2\/20). What is the greatest common divisor of s and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -665*t**2 - 11*t + 30. Let g(u) = -333*u**2 - 6*u + 16. Let d(j) = 2*a(j) - 5*g(j). Is d(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 253 - 253 - 28*d as a*d + b and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330966 (base 12) in base 15?\nAnswer: -4eeb5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3 - 28*v**2 - 256*v - 768 = 0. Calculate v.\nAnswer: -12, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -70 (b) -0.08 (c) -3\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -10. Let r be -1 - (2 - (p + -3)). Let u = r - 39. Sort -2, 3, u in decreasing order.\nAnswer: 3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -11. Let k = g + 1. Is 1 + (-4)\/(-1) - k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 48 + 15*l + 37.\nAnswer: 15*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94 + -222. What is the common denominator of 29\/2 and ((-2)\/o)\/(-5 - 2345\/(-470))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 260721\nAnswer: 4\/260721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -26*q**3 + 4*q**2 + 2*q. Let o(p) = 79*p**3 - 10*p**2 - 6*p. Calculate 8*k(s) + 3*o(s).\nAnswer: 29*s**3 + 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -256330 + -0.282252?\nAnswer: -256330.282252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/12456 and -137\/6228.\nAnswer: 12456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -40, -134, -318, -622, -1076, -1710?\n\"Answer: -5*p**3 + p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 10. Let c(g) = g**2 + 8*g - 28. Let k(s) = -c(s) + 3*t(s). What is k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 - 126*n - 8. Let t be l(18). Which is the third biggest value? (a) 1 (b) 1.6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 46*x = 147516. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 12, -21 = 2*y + 5*f. Let l be ((-666)\/3330)\/((-7)\/5). Which is the smallest value? (a) l (b) y (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 91. Let k be (-24)\/16 + m\/(-4). What is the tens digit of -1*44\/k*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2500 by 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 52*q**2 - 99*q - 35. Give i(50).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/216 and 29\/684.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17.198 * -729\nAnswer: 12537.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1231 + -671. What is the highest common factor of y and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6*2*(-4 + 4551) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i + 6. Let y be o(0). Solve -y*s = -2*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 370 + -160. Let r be ((-12)\/8)\/((-6)\/248*1). Let h = -41 + r. Calculate the greatest common factor of h and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ce - -c54?\nAnswer: a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 + -15. Let h = n + -120. Solve -10 - h = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by 187\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 13*n**2 - 12 - 9 - 13 + 34. Suppose -4*j + r - 6 = 0, -4*r + 5*r = -5*j - 3. List the prime factors of u(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(-3*i**3 + i - i) - i**3 - 4 + 4.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-10 + 13 - (2 + 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*u = -2*u + 18, -4*r + 16 = -2*u. Suppose 1\/2*v**4 + 1\/2*v**r + 0 - 1\/2*v**2 + 0*v - 1\/2*v**3 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223 and 80891689.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 90804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21439448 is divided by 471.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiiizzziigiii. Give prob of sequence izig.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 70. Suppose -2*x - 5*n - d = -5*x, 5*n = -5*x + 55. Suppose x = 3*p - 9. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a7a9 (base 14) to base 12\nAnswer: -14915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16977 divided by 3?\nAnswer: 5659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (34\/4 - 0)*18. Is m at least -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 + -47. Let k = t + -178\/5. Determine r so that -k*r**3 + 0*r**2 - 4\/5 + 6\/5*r = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203523893 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.94596557 - 7.946. What is l rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 13024?\nAnswer: 13014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 6*d**2 - 1669. What is u(0)?\nAnswer: -1669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3668 rounded to one decimal place?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -10114\nAnswer: 50570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 870676 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**2 + 48211248*m - 145270277107344 = 0?\nAnswer: 6026406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2761 by 5.\nAnswer: -2761\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4169107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2683*0.288.\nAnswer: -0.6532704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.1 (c) -261 (d) -2 (e) -3 (f) 2 (g) 35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11705 (base 10) to base 2.\nAnswer: -10110110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20\/1551 - 2022604\/7755. Let a = 261 + t. Factor 0*o**2 + 0*o - 1\/5*o**5 + 0 + 2\/5*o**3 - a*o**4.\nAnswer: -o**3*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-14)\/35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*d - 3080 = -609*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 26. Let x be (h\/6)\/((-1)\/20). Calculate the highest common divisor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 2*j**5 - 3*j**2 + (-2*j**3 + 0*j**3 + 4*j**3)*(3*j - 3*j + 10*j**2).\nAnswer: 18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -6788 in increasing order.\nAnswer: -6788, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2. Let t(s) = -342*s**2 + 27*s - 9. Let d(b) = b**2 + 3*b - 1. Let v be (-1 - (3 + -20)) + -7. Let u(f) = v*d(f) - t(f). What is u(q(r))?\nAnswer: 1404*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -1.7. Let f = -1.7 - d. What is the third smallest value in -2\/3, -2\/11, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-2)\/142*-1). Let p = 123 - a. Let x = 7 + 11. Calculate the remainder when p is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 5 + -3 + -4 + 1. What is the units digit of (-238)\/a + 2*(-1 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 51*u - 249. What is the remainder when 590 is divided by z(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -37*g**7\/7 - g**5\/10 - g**3\/3 - 32*g**2 + 82*g. Find the second derivative of a(n) wrt n.\nAnswer: -4440*n**3 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-5)*10\/4. Suppose -n*f - f + 70 = 0. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4 - 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w**2 - 4. Let s be i(-2). Let z = 104 - s. Calculate the smallest common multiple of 14 and z.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)*134\/(-402). Put 0.11, 3, 0.2, 0.4, y in decreasing order.\nAnswer: 3, 0.4, 0.2, 0.11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 639.57 - -66.\nAnswer: 705.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 233, 903, 2019, 3581, 5589?\n\"Answer: 223*v**2 + v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25921, 51990, 78059, 104128, 130197?\n\"Answer: 26069*b - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 704.9006 * 0.04.\nAnswer: 28.196024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 + 0 + 0)*(0*w - 3*w - w) + (-2 + 2 + w)*(4*w**2 - 4*w**2 + 2*w**4).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -3 (b) -9 (c) 3 (d) -36091 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1165000 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 23*k**2 + 29*k + 116. Give n(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -12201?\nAnswer: 12154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004374 to four decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024455 and 83945.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.466159 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-68) + 18\/561.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 220*b**2 + 33*b - 22. Let w(c) = 43*c**2 + 6*c - 4. Let j(s) = -6*v(s) + 33*w(s). Let g(p) = 41*p. What is g(j(i))?\nAnswer: 4059*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-105)*(-80840)\/(-24252)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -791, -1519, -2731, -4427, -6607, -9271?\n\"Answer: -242*p**2 - 2*p - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*s*s**(-12)*s*s)**30 assuming s is positive.\nAnswer: s**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62181055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 6:46 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/6)*s\/(s**(-5)*s)*s*(s**0)**20)**24)**(-29) assuming s is positive.\nAnswer: s**(-4756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from bnjnnnjb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 21*w**3 - 9*w**2 - w - 2. Let i(x) = -11*x**3 + 5*x**2 + x + 1. Let z(v) = 5*i(v) + 3*q(v). What is z(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.55 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*u - 2 + 97*u + 12*u + 2.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -25*a + a**3 - 2*a**2 + 1 + 44*a - 24*a + 5. Let r be (-1 + 2)\/1 + 3. Let k be w(r). What is the greatest common factor of 27 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/10899 and 16\/166599.\nAnswer: 1166193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 4*i**5\/5 - i**4\/6 + i**2\/2 - 582*i. Determine n(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/16 (b) -3 (c) -76\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**4 - 2\/3*u**3 - 5\/2*u**2 + 5 + 0*u. Let c(g) = 12*g - 12 + 12 - g**2 + 2*g**3 - 14*g. Give 5*c(z) - 2*s(z).\nAnswer: 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7139*i + 3448103. Determine j(-483).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 30 = -12*l. Suppose -2*x - l*x + 115 = 0. Calculate the remainder when 135 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 500 + 4266 = 0. Solve -l = 4*u - 546 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*n - 11425 - 12075 = -19*n. What is the remainder when n is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14260*a + 14305*a = -1350 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1504 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(15\/4)*u)\/(u\/(u\/u**(2\/93))) assuming u is positive.\nAnswer: u**(1759\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 31*y**2 + 67*y + 65. Let q be a(-28). Let d(m) = -10*m**2 - m - 13. Let u be d(6). Let t = q + u. Does 27 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 29401001.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 35?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 1, r: 1, p: 1, x: 1}. Give prob of sequence urx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -347*t + 335*t + 96 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -7. Let f(u) be the first derivative of -u**3\/3 - 7*u**2\/2 + 3*u + 4. Let c be f(m). Solve -q + c*q + 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303129 - 177800. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4*q + 2211*j**4 - 5*j**3*q + 10*j**3 + 58335*j**2*q + 5*j*q wrt j.\nAnswer: -48*j*q + 53064*j - 30*q + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/34)\/((-25)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 113178 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -6) + 0 + -3. Find the common denominator of g\/3 + 3*12\/(-9) and 259\/90 + 4\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9860 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -1840?\nAnswer: 21\/460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155200, 310877, 466562, 622261, 777980, 933725, 1089502?\nAnswer: 1245317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.771418 rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47241121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 746 = -3*j + 720, 0 = 3*m - 4*j - 25 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -174727 (base 13) in base 12?\nAnswer: -240434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894267?\nAnswer: 3, 11, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31346 is divided by 5210.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 3 (b) 0 (c) -28\/2031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, m: 3, k: 1, r: 6, x: 1, j: 1}. What is prob of picking 1 v, 1 j, 1 x, and 1 m?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3842*d + 45 = 3837*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 - 29.04. Let w = 210.8 + -246. Let n = b - w. What is n rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.18533 + -321.355\nAnswer: -318.16967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4989 - 2497 - 2492 - 49*l.\nAnswer: -49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*m - 42880, 0*c + 3*c - 4*m - 42890 = 0. Suppose -5*r = i - c, 2*r + 4*i - 5693 = -i. Is 6\/9*r - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 113885622.\nAnswer: -113885622.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102837.2m in micrometers?\nAnswer: 102837200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 1020*f**2 + 43025*f + 42000.\nAnswer: -5*(f - 240)*(f + 1)*(f + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/35 - -2\/105. Let b be 4\/(-10) - 2\/(-10). What is the nearest to 2\/3 in b, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 + 7.16. Let h = u + -7. Let s = h + -0.299994. What is s rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-84))\/((-3)\/(-4)))\/(8\/21).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - -1) - (4 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -532331*f**5 + 942903*f**2 wrt f.\nAnswer: -31939860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948477877?\nAnswer: 751, 5257627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2795972 rounded to the nearest one hundred thousand?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 300005680*q**2 - 600011348*q + 300005672.\nAnswer: -4*(q - 75001418)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233963?\nAnswer: 43, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(117))**2.\nAnswer: -30*sqrt(13) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 5*r - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 3 = -q. Let c = -35 + q. 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 nearest to 12\/11 in -3\/7, -6, -3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 15\/81688 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 + 832 = 80*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:52 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 - (-11 - -14). Let x be (0\/(-13))\/(1*b). Suppose -2*w + 4*w - 72 = x. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {w: 1, y: 1, v: 2, m: 5, n: 1, a: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 614, 1340, 2064, 2786, 3506?\n\"Answer: -k**2 + 729*k - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 114218575007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -42 + -4 + (18 - 26 - -8 - 9)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1111 - 1111. What is the third biggest value in -0.4, s, -2\/15, -7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + 2*p)*(-4*p + 4*p + 2*p) - 12*p - 8*p**2 + 48 - 141 + 94.\nAnswer: -10*p**2 - 12*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4000 and 26350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:20 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 4100 = -22*l. Is 42 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = 0, -5*u - 4*d + 7*d = -9. Put -0.2, 5, 0.2, u in decreasing order.\nAnswer: 5, u, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 11*r**2 + 2*r - 1. Is 6 a factor of s(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472372?\nAnswer: 2, 118093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 625 + -615. Solve n = -3*v + 8*v + s, 4*n + 4*v - 16 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/((-76)\/(-456))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 4\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*u = -347*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**4\/5 - 212*u**3 - 3090*u**2 = 0.\nAnswer: -515, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 108, 198, 262, 264?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - ((sqrt(84) + -2*sqrt(84) + sqrt(84))*5 - sqrt(84)))\/sqrt(4))\/(sqrt(14)\/(sqrt(54)\/sqrt(3))))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(153) - (1 + sqrt(153))*3)*4 + -1.\nAnswer: -96*sqrt(17) - 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3016 by -232.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - -31 - (-8 + 0 - (1 + 0))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13136643 is divided by 295?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -3)*(-3 + 1 + 3). Suppose 0 = -4*z + l*z + 1, -4*x = 4*z - 356. 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: 45636.4+119\nAnswer: 45755.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + p + 51199995, 29*p + 51200015 = 5*z + 32*p. What is z rounded to the nearest one hundred thousand?\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, a: 1}. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0, -98, -3, -5, 82 in descending order.\nAnswer: 82, 5, 4, 0, -3, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 - 0.1. Let t = -4.11 - -4.11. Which is greater: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/8*400\/400.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5 - 11*b + 8*b**2 - 12*b**2 + 6*b**2 + 3*b. Let a be c(5). Solve -a*d + 4*d - 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 4566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 1. Let a(h) = h**3. Let s(u) = 3*a(u) - 4*j(u). What is the derivative of s(m) wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o + 6 = 3*k - 69*o, 2*o - 6 = 2*k - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + x**4 - x**4 + (2*x**3 - 6*x**3 + 3*x**3)*(x**2 + x**2 + 0*x**2) - 5*x**5 + 5*x**5 + x**5 - 9*x**4 + x**5 - 609 + 609 - 15*x**3.\nAnswer: -2*x**5 - 9*x**4 - 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 1\/14, -0.2, 0.8, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.957 + -0.043. Let f = z + 53.01. Let j = 5 + -1. Which is the nearest to 2\/3? (a) j (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*c**3 + 8*c**3 + 4*c**4 - 2*c**4 - 5*c to z*c + p*c**3 + x*c**4 + l + v*c**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-24)\/84*(-1)\/(11\/374*2)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w**4 - 433*w**3 + 6*w + 16. Let h(p) = -12*p**4 + 433*p**3 - 5*p - 16. Let u(f) = 10*h(f) + 9*t(f). Find the second derivative of u(y) wrt y.\nAnswer: -36*y**2 + 2598*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436977 - 873900 + 2*j + 436990.\nAnswer: 2*j + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d - 52 = 0. What is the greatest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3067, 6154, 9253, 12370, 15511, 18682, 21889, 25138?\n\"Answer: p**3 + 3080*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(-1\/13))*s*(s\/(s\/(s\/(s*s\/s**(-5\/2)*s)))*s)\/s assuming s is positive.\nAnswer: s**(-89\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 137240000 rounded to the nearest 1000000?\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-14) - 2356\/(-304) - 8.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(5 + sqrt(891)*-1*6 + (sqrt(891) + 0 + sqrt(891))*3*-3))**2.\nAnswer: -3456*sqrt(11) + 513280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {b: 2, x: 1, c: 1, j: 2, d: 1, u: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 117593*s + 21284343. Calculate i(-181).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z**2 - z. Let l(x) = 22*x**3 + 11*x**2 + 11*x + 12. Let r(n) = -2*l(n) - 22*t(n). What is the first derivative of r(m) wrt m?\nAnswer: -66*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6528150 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7 + 3. Suppose 0 = -m - m - 4. What are the prime factors of m\/3*-6*p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*l**2 - 13*l + 4*l**2 + 8*l**2 to d*l + i + h*l**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 = -3*q + 8, -19 = 4*p - 5*q. Let y be (0 - 2)\/(p - 1). Let x(k) = 3 - 2*k - 5 + y - k. What is x(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 508 * -0.17.\nAnswer: -86.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-24))\/(4*3\/72)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - d + 0*d)*(-465 - 35*d - d + 466) to the form p*d**2 + u + k*d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 888909481 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2. Let s = 6 + -34. Let w = s - -48. Let p(m) = 21*m + 35 - w - 15. What is u(p(x))?\nAnswer: 882*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1117*t - 217 + 57 + 1116*t)*(0 + 0 + t).\nAnswer: -t**2 - 160*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328498 divided by -166?\nAnswer: -8003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 0*o = -6*o - 37 - 49, 2 = 2*o for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 92 = 78. List the prime factors of ((-2)\/4)\/((z\/556)\/(-7)).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + d + 5*d + (-5 + 5 - 18)*(-3*d + 0*d + 2*d) as y*d + j and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 721 and 238033?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71287275.\nAnswer: 3, 5, 950497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -446*t**4 + 1717*t**3*z**3 + 6*t**2*z**3 + 3*t**2*z + 8708*t**2 - t*z wrt t.\nAnswer: -10704*t + 10302*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 - 730350*u - 400058341875.\nAnswer: -(u + 1095525)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70805 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 4*b + 5*b)*((-4 + 2 + 1)*(2 - 2 - 2) - 3 + 1 - 1 - 32 + 16 + 147) in the form k*b + l and give k.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3882 = 2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.004358 - -109.440358. Let p = 6.356 - j. Let l = p + 108. Round l to 1 dp.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**5 + 25*y**4 - 10*y**3 - 50*y**2 + 5*y + 25 = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2\/3*b**2 + 1922\/3 + 124\/3*b = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*s**2 + s**3 - 56*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 11:08 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = v - 3, a - 12 = -4*v. Suppose -2*u = -4*h + 468, 332 = v*h - 2*u - 17. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477447 (base 8) to base 4.\nAnswer: 213330213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f**(1\/2)*f*f)*f)**(2\/65)*(f**(-2))**(9\/10))**(-14) assuming f is positive.\nAnswer: f**(1596\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 148642745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254082 = -56*v + 14*v - 60*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajaakjbqqrj. What is prob of picking 3 a and 1 k?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 11 - 3. Solve 2*r = z + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f + 4*m + 0*m - 2 = -33*f, -2*m = 9*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -36*j + 4. Let h(y) = 159*y - 29. Let p(n) = -79*n + 14. Let l(a) = -6*h(a) - 13*p(a). Let q(b) = 3*l(b) + 5*z(b). Is q(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5 + 31*v**4 - 170191*v**3 - 2897419*v**2 - 15515262*v - 25066440 = 0.\nAnswer: -420, -7, -3, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4249, 0, 7 in increasing order.\nAnswer: -4249, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)*y)\/y)**19\/(y**(-17)*((y*y**17\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*w + 3 + (1 - 4 + 1)*(-2*w + 0 + 0) + 3*w - 2*w + w - 11*w - 32*w - 33*w + (-1 + 2 + 1)*(-5 + 2*w + 5) to d*w + c and give d.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 2*s + 13*s**2 - s.\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcvscvddvsssssssvs. Give prob of picking 1 c and 2 d.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22333.000028366 - 22333. Round t to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203283179 to the power of 1\/3, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/((-12)\/138484) + 40\/24?\nAnswer: 2, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let p = 5 + -3. Suppose -2*j + 16 = p*l, -5*l + 3 + 35 = 4*j. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 37, 38, 39, 40, 41?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16\/(-20)*-10)\/(1\/83).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**2 - 3364*p + 3364*p + 18*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from jqqqqyrryraqyydrr?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/3))\/v)**9)**(-11\/2) assuming v is positive.\nAnswer: v**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6753 - -6740 - (-44 - (5 + -2)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 461 = -46*r - 673 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-6 - -1) + -5. Let s(c) = c**2 + 5*c - 1. What is s(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 21*a**2 + 249*a - 778. What is o(3)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 507 + -356?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(49\/(-3))*(-252)\/24?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 6:33 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33952945 a multiple of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 178 - 108 = 22 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 816308800 divided by 163261760?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2183105 or 2183125?\nAnswer: 2183125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140.66 - 141. Is 1 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -13)*(4 + -3). Let n be (-2)\/3 + (-68)\/5406*-53. Solve 4*i + 3*j + 7 = 4*j, -i + 4*j - z = n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96734195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 4:19 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 4*r**3\/9 + 572*r**2\/3 + 380*r - 1154. Factor z(s).\nAnswer: 4*(s + 1)*(s + 285)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 10. 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: How many minutes are there between 8:38 PM and 10:00 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 2:47 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 5. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 0.067?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**3 + 3*w**3 + 3*w**3 + 6*w**3 + 10*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9957.799 days in minutes?\nAnswer: 14339230.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1938561 to three dps.\nAnswer: 0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/6333588 and 3\/18802?\nAnswer: 44335116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -11 + (2 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 773 divide 167189078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116.000127 - -116. What is a rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764665 (base 8) in base 7?\nAnswer: 2115426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 33 + 79 = 0. Let h = -34 + l. Let m(s) = s**3 + s**2 + 8. What is the remainder when h is divided by m(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -8. Suppose -2*r + d*r = 465. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*u**4 + u - 2244*u**3 + 4 - 60*u**4 + 2245*u**3 + 2*u**2 as h + a*u**4 + k*u**2 + r*u + y*u**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, s: 4, a: 1, w: 3}. Give prob of picking 1 s and 1 a.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -13*a**3 - 6*a**2 - 6*a - 4. Let k be l(-6). What is the hundreds digit of 2 + 33\/(-15) - k\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6.2 (b) 0.05 (c) 4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 331 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 6) + -12 - -19.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 - 56*r**3 - 381*r**2 + 544*r + 868 = 0 for r.\nAnswer: -7, -1, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/72 + p**3\/6 - 7*p**2\/12 - 4*p + 20. Let n(z) be the first derivative of r(z). Factor n(j).\nAnswer: (j - 1)*(j + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -945*t + 6621. What is w(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 times 2960.1?\nAnswer: -180566.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2265936 rounded to three dps?\nAnswer: 0.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - s + 1. Let k(a) = -2*a**2 - a + 1. Let d(r) = k(r) - t(r). Let l(n) = -715*n**2 + 355*n**2 + 365*n**2. Give l(d(m)).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 4436324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82002186 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103542, 414186, 931928, 1656768, 2588706, 3727742, 5073876?\nAnswer: 6627108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 c when four letters picked without replacement from cckccckkccccck.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343059, -686070, -1029081?\nAnswer: -1372092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let i(v) = 4 - 7*v + 3*v**2 + v**3 - 5 - 5. Calculate i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1223 or -1225?\nAnswer: -1225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4583961 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 12 = 2*b, q - 5*q - 2 = -2*b. Suppose -b*c + 9 + 1 = 0. Calculate the highest common factor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 11*w**8\/56 + 3*w**4 - 12*w + 37. Let x(j) be the first derivative of z(j). Find the third derivative of x(o) wrt o.\nAnswer: 1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h + 1. Determine g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -0.2. Let i = 94 - 139. Let c be ((-3)\/(-4))\/(i\/(-24)). What is the third smallest value in -0.5, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/4)\/(7\/(-56)). Let s = 18 + x. Factor 3*j**2 - 3*j**2 - s - 8*j - 2*j**2.\nAnswer: -2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1035 - -3.0895. Let z = k + 0.807. Let n be ((-2)\/(-4))\/(1\/(-12)). What is the closest to n in z, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b - 5. Suppose 0 = 2*h + 2*z - 12, -1460*h - 2*z + 6 = -1464*h. Let o(r) = 5. Let m(t) = 3. Let j(f) = 8*m(f) - 5*o(f). What is h*w(v) - 4*j(v)?\nAnswer: -7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 356294 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.01 + -0.99. Let l = 39.7 + h. Let v = -705\/7 + 101. Which is the nearest to v? (a) -7 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1 (c) -3\/2 (d) -144 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -24*b + 612. Calculate the remainder when x(11) is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 2. Suppose -2 = 2*k + 3*k - 2*m, 0 = 4*k + 2*m + 16. Let w be g(k). Let c(u) = 3*u**2 - 2*u + 2. Is c(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*s + 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 10*z**2 + 12*z + 3. Let q be m(-8). Suppose -3*k + 2*x + 3*x + q = 0, 22 = 2*k - 2*x. What is the remainder when 28 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3869 rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 5*p**2 - 6*p**2)*(0*p - 2*p - 2*p) + (-2*p**2 + 5*p**2 - p**2)*(-3*p + 3*p - 3*p) - p**2 - p**3 + p**2.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s**2 + 7. Calculate o(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0066 and 5.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.315919293 rounded to 2 dps?\nAnswer: -3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 15*d**2\/2 + 34996756*d + 4666234 = 0.\nAnswer: -4666234, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5648, 22610, 50882, 90458, 141332?\nAnswer: 203498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/208 and 93\/4.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 401 - 703. Let z = m + 302. Solve -5*f = j - 24, 4*j + z*j - 4*f = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9125 + -9110. Solve -4*p = 5*j - 10, -5*p + 8 + b = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/83?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -g + 1 - 10, -2*g = 2*u - 12. Let y = -1 + g. Is -113*(y + (-1 - 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -347*i + 348*i - 3071, -3*i = -5*s - 9223. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 117 and 0.3184.\nAnswer: 37.2528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*b + b - 18, -4*b = -5*w + 7. Solve 8 = -2*x + 4*i - b*i, 2*x - i + 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4\/6 + 4036*h**3\/3 + 538*h**2 = 0. Calculate h.\nAnswer: -1614, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p + 13. What is the remainder when o(2) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + -31. Let z = 48 + t. Is z*(4 - (-42)\/4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 116*p**2 + 1036*p - 2940.\nAnswer: 4*(p - 15)*(p - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16533205 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 27533600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/891 and -56\/221463?\nAnswer: 1993167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 628 in ascending order.\nAnswer: 0, 3, 628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174913 is divided by 821?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**3 + 9 - 9 + f - f**3 + 0*f**2 + 0*f**2 + (2*f - 2*f + 2*f)*(1 - f**2 - 1) + 3*f**3 - 3*f**3 - f**3 as b + w*f + g*f**2 + c*f**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-81)\/6)\/(-9) + (-14)\/8. Which is the closest to l? (a) -1\/5 (b) -6 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 713878983*h**3 + 784275325?\nAnswer: 2141636949*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wywy when four letters picked without replacement from bwbbwwwwvbwwwyy?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 - ((31 - 22) + -47).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(-2*m**2 - m**2 + 5*m**2) + 426*m**2 - 71*m**2 + 95*m**2 + 2*m**2 - 1 + 1)*(m**2 + 5*m - 6*m + 2*m).\nAnswer: 454*m**4 + 454*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9793939*a + 1706704 wrt a?\nAnswer: 9793939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.44918ml to litres.\nAnswer: 0.02144918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1508837981 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*f - 5, -3*f - o + 9 = 2*o. Let t = 5718 + -5715. What is the closest to f in -0.1, -2, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 603218544 and 2148?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48279 - 24087 = -504*a for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103129\/30 + 17161\/5. Let g = h + 28\/5. What is the closest to g in 2, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19876 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/4*10\/(-15). Find the first derivative of -r**4 + m*r**4 - 4 + 4 + 1 wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(6 - 11)*324\/(-5). What is the highest common divisor of 36 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.032 + 0.268. Let r = 1470 - 1437. Sort -2, r, 2, t in ascending order.\nAnswer: -2, t, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*x**3 - 4*x**3 + 6*x**3)*(-2*x**2 - 2*x**2 - 2*x**2).\nAnswer: -96*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(4050\/140) - 10\/150) + 14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 4*f + 5231 - 5185, 57 = 4*b + 5*f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*o**3 - 31*j**2*o**2 + 2*j*o**3 - 2*o**3 wrt j.\nAnswer: -2*o**3 - 62*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 934848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40160070 and 446.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -0.4, -32666 in descending order.\nAnswer: 28, -0.4, -32666","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7959385 and 1330.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -432270.563 rounded to the nearest 100?\nAnswer: -432300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 8 = 7 + 34 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/4)\/((-3)\/12). Let i be -1 + c + -9*1. Is (-24)\/5*55\/i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1960*f**4 + 4*f**2 + 1961*f**4 + f**2 + 9 - 2*f - 4*f**2 to w*f**3 + v*f**2 + j + o*f**4 + b*f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 - 204. What is the closest to l in 3.1, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -32911746.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 209?\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbnbnbbbbbnbbbbbbbbn. Give prob of sequence nbnn.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 24*y - 3828. Which is smaller: 42 or y?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -31*j - 64. Let k be p(-2). Let i(f) = -17*f - 4. Let b(a) = a - 5*a + 3*a. Let t(l) = -l + 1. Let y(z) = 5*b(z) - t(z). Determine k*i(u) + 9*y(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 9*v**2 + 4*v - 3 + 0*v**3 + v**3 + 0. Let u be l(10). Suppose -p = 2*b - u, p + 0*p - 5*b = 2. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*w - 634 - 641, 2*q = 3*w + 510. Let s(j) = -q*j + 255*j + 11*j**2. Let p(m) = 163341 - 163341 - 4*m. Give s(p(y)).\nAnswer: 176*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 1.302.\nAnswer: 0.5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*l + 321 = 0, -12*v + 3*l = -7*v - 545. Solve -6*f - 8*f = -v for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10*o**2 - o. Let q(h) = -h**2. Give -l(y) + 2*q(y).\nAnswer: 8*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-7))\/((-110)\/(-14)). Let b = -456 + 463. Suppose -4*j = 3*r + 17, 2*r - j + 0 = b. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 5\/24 (c) -5 (d) -52260 (e) -4 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*r + 9*r**2 - 4*r + 12*r**2 = 0. Calculate r.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1, 0.2, 2\/3, -0.4, 92?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 9.1. Let a = 0.0007 + -3.0007. Sort -5, a, v.\nAnswer: -5, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*x - 0*x + 7, 0 = -4*d - 2*x + 40. Suppose -d*w + 15*w = 144. Calculate the remainder when 142 is divided by w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4132 + -4132. Let o(v) be the third derivative of 0*v**4 - 11\/6*v**3 + 0 + 6*v**2 - 7\/120*v**6 + 0*v**5 + r*v. Differentiate o(f) with respect to f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 45\/(-12))*-24. Let c = -90 + t. Suppose 4*q - 69 - 11 = c. Calculate the greatest common divisor of q and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788546619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:58 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/20 - 2*s**4\/3 + s**3\/6 + 3*s**2 - s. Calculate the least common multiple of 14 and u(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49518 divided by 6.\nAnswer: 8253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:16 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 + p**3\/3 + 2*p**2. Let q be i(-2). What is the units digit of (-2)\/(-3*q\/63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.26 and -30.73934?\nAnswer: 7.9922284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 12. Suppose h + 7 = 2*h. Let i(p) = -2 + 2 + h*p - 3 + 2. Calculate i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 120 = 3*v. Suppose 5*d = -5*p + 4*d + 128, 4*d = -p + 37. Let k = v + p. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/2 - 115*h - 6612 = 0.\nAnswer: -116, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2ce57 (base 16) to base 8\nAnswer: 547127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a = 16*a - 24*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3637*j**3 - 3638*j**3 - 3633*j**3 + 10905*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 11*v**2 - 1 + 1. Let p = -279 + 280. Give h(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39874691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -53*o**5\/20 - 7*o**4\/4 + o**2 + 2*o + 10. Find the third derivative of m(u) wrt u.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 2*u. Let w be d(-4). Let k be (54\/(-21))\/((-3)\/14). Let t = k + w. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230 - -100. Let x be l\/14 - 12\/(-42). Let g = -15 + 10. Which is the second smallest value? (a) g (b) -1\/11 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007572 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 0.85. Let k = v - 0.15. Let f = 0.000132 - k. Round f to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -160, -457, -862, -1369?\nAnswer: -1972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1308 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, j: 1, k: 2, u: 1, v: 2}. What is prob of picking 2 v, 1 u, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 52 + 10 = s, -3*s = j - 202. Suppose -k - q = -s, 5*q + 4 = 9*q. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 6489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - v + 14, -4*v - 1494 + 1403 = 3*q. Which is the closest to -1\/3? (a) 5 (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26318595 is divided by 257?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 126*u - 133*u = -15, 0 = 2*z + 4*u - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 7}. What is prob of picking 2 i and 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**3 + 6 - 4 - 2.\nAnswer: 26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**4 - 5*f**3 + 2*f. Let j(o) = 8*o**4 - 186*o**3 - o**2 - 8444*o. Let t(v) = 4*g(v) - j(v). What is the second derivative of t(z) wrt z?\nAnswer: -144*z**2 + 996*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45764992 and 26208.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, q: 2}. What is prob of picking 1 q and 2 c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*u**3 + 3*f**3*u**2 - 12*f*u**3 + 3840*f*u**2 + 42*u**3 wrt u?\nAnswer: 12*f**3 - 72*f + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {e: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1a1c3 (base 13) to base 11\nAnswer: -35236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.039 and 0.158798.\nAnswer: 2.197798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430921114.\nAnswer: 2, 13, 2287, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**6))\/s)\/s*s*s*s**(-2\/5)*s**(2\/7)\/(s*s*s**(-2)) assuming s is positive.\nAnswer: s**(206\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 19. Let x(p) = w + 2*p - 9. Let a(f) = -4*f**2. Calculate x(a(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3*r - o**3 - 4*o**2 + 24241*r**2 + 385 wrt r.\nAnswer: -2*o**3 + 48482*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * 2.147.\nAnswer: 6.2263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 10. Suppose -52 = -9*d - 25. Solve -5*q + d*n + 6 = -7, 0 = -3*q + w*n + 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2483 and 3615439?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 4732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/5*d**3 + 32\/5 + 2\/5*d**4 + 98\/5*d + 102\/5*d**2.\nAnswer: 2*(d + 1)**3*(d + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*w - 26*w - 29855 = -20105 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19871 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-10))\/(10\/(-725)) and 0 - (-14)\/(-3) - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m - 63. Let f(u) = -5*u + 21. Let v(j) = -7*f(j) - 2*q(j). Let b be v(3). What is the nearest to -1 in b, -4\/9, 4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2 (b) 0 (c) 5 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*q + 34, 4*s - 4*q = 21 + 7. Let z(x) = 24*x + s*x - 1 - 46*x + 5*x**2 + 14*x. Let v(t) = 6*t**2 + 3*t - 1. Give 4*v(l) - 5*z(l).\nAnswer: -l**2 - 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -126394830 divided by -6?\nAnswer: 21065805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131\/21 - 39\/7. Let j = -51680.6 - -51680.67. What is the closest to 0 in -3, k, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 21 = -8*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*k**3 + 4*k**4 + 45*k**3 + (4*k**4 + 5*k**4 - 4*k**4 + (3*k - 3*k - 2*k**4)*(0 + 2 - 4))*(0 + 5 + 0).\nAnswer: 49*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -387*-5\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8044 is divided by 2010.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 220125487 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(3\/4))\/g)\/(g\/(g*g**28))*(((g\/g**(-27)*g*g)\/g*g)\/g)**6 assuming g is positive.\nAnswer: g**(815\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 - 250*i**2 - 157*i - 877. Give p(84).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 12876275*k**2 + 12876275*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 810398414?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - m**4 + 5*m**4 - 4*m**3 + 4*m**3 - 5*m**4 - m**3 - 3*m**4 - 4*m**4 + m**4 + (m**2 + 2*m**2 - 2*m**2)*(4*m**2 - 38*m**2 - 17*m**2).\nAnswer: -60*m**4 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001771927648 to 7 decimal places.\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9730 and 6034?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-2)\/(-1) + 2. Suppose 37 = b*g - t, -5 = -5*t + 10. What is the smallest common multiple of g and ((-2)\/3)\/((-1)\/9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.40513cm to millimeters.\nAnswer: 494.0513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2. Let t be f(-3). Let n(l) = -l**3 + 6*l**2 + 10*l + 11. Let m be n(t). Calculate the common denominator of 69\/10 and m\/7*6\/24.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250aa (base 12) to base 7.\nAnswer: 266323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 45166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 10*o**2. Let s(g) = -4*g**2 - 31*g + 46. Let d be s(-9). Determine p(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - 5*b**2 + 6*b - 6. Let r(o) = -o**3 + o**2 - o + 1. Let a(u) = h(u) + 5*r(u). Let q = 7 - 5. Give a(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5 = w, -11*w + 19 = 2*t - 6*w. Calculate the greatest common divisor of 218 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -32016\/14831?\nAnswer: -32016\/14831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 42*(-21)\/196*-1*(1 + 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 14. Solve -12 = 2*i - 4*o, -3*i - 2*o + 5*o - 3 = u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523791235.\nAnswer: 5, 11, 173, 55049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1\/5 (c) -2\/9 (d) 14 (e) 2\/9 (f) -1402\/321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -221102021110?\nAnswer: 221102021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cbcccbcccccccbcbccb?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 76, 68, -2498?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 253 = -5*t. Let w = -39 - t. Sort -4, w, 3, 7.\nAnswer: -4, w, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 30*z + 25. Let b(g) = g + 1. Let y(x) = -2*x - 2. Let l(i) = -3*b(i) - y(i). Give -25*l(h) - p(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.03 (b) -317 (c) 1\/40 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2398560 by -10520.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -2*u + 101*x - 99*x, -5*x - 155 - 40 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 13*r - 22. Let b be h(17). Let a be 2 + b - (-1 - -5). Let x = a + -32. What is the remainder when 59 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k - y - 2224 = 0, -2*y = -8. What are the prime factors of k?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(0 - 3 + 1)*(-u + u + 3*u**2 + (1 - 3 + 0)*(u**2 - 4*u**2 + 5*u**2) + 272*u - 272*u + 72*u**2).\nAnswer: 142*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -50. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-95)\/(-3) - (-12)\/9. Let l be (-1)\/(-1*(-1)\/(-2)). Suppose q + c = l*q. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1680.3 - -243.2. What is o rounded to the nearest ten?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 + (-2 - -1). Suppose -4*m + 6*m = u. Solve 4*t + 4*l - 30 = -10, -2*t + 3*l = m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**4 - 344*h**3 + 4902*h**2 wrt h?\nAnswer: -96*h - 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -604.3?\nAnswer: 604.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 7:33 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2\/9)*f)*f*(f**(-5)\/f*f)\/f*f*f**3\/f*f**(1\/11))**47)**(26\/3) assuming f is positive.\nAnswer: f**(-204074\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -1785, 11, 3, 4 in decreasing order.\nAnswer: 11, 5, 4, 3, -1, -1785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 1213184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**4\/4 - z**2\/2 - 6*z + 17. Give l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 4*n**2 - 7. Let t be h(-5). Suppose -3*m + 40 = 4*c, 0 = 2*m - 4*c - 20 - 20. Let p = t + m. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33567?\nAnswer: 3, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-2))\/(1 - 0). Suppose u*b = -2*b - 28. Let c = b - -10. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 264205*b + 264182*b + b**2 - 5*b**3 - b**2 + 0*b**2.\nAnswer: -4*b**3 - 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*17.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075764.\nAnswer: 2, 3, 157, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 3:47 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58060 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/338?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*o**2 + 3209*d*o + 9929*d - 9*o wrt o.\nAnswer: -4*d*o + 3209*d - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21 = 1. Suppose 17*l = 22*l - 125. Suppose 5*u - l = -s. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - j - 12, 13 = 4*k + 3011*j - 3014*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1192820 divided by -27740\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 + (-5 + 8 - 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/7, 1\/6, -8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.546 and 209.\nAnswer: -532.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 26*s + 144, -143*c - 3*s - 12 = -145*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0 - (3 - 4). Suppose 65 = 8*n - r*n. Calculate the remainder when 1 + (-1)\/((-1)\/n) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 13*h = i - 5, 0 = i - 2*h - 5. Let z = -69 - -72. Solve 0 = i*t + z*b + 6, -3*t + 4*b + 8 = -0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(((-5)\/30)\/((-1)\/4)). Put z, -3\/5, 2\/7, -0.07 in descending order.\nAnswer: 2\/7, -0.07, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*k + a + 15, -20 = -5*a. Put 1, k, -5 in decreasing order.\nAnswer: 1, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - a)*(2*a - a + a) - a**2 - 2*a**2 + a**2 - 4 - 12*a**2 + 4.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + 6*((sqrt(5445) - (sqrt(5445) - (sqrt(5445) + 1*sqrt(5445)))) + -5 - (-4 + 0 + sqrt(5445)))))**2.\nAnswer: -3564*sqrt(5) + 1764189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156*l**5 + 1958*l**4 + 807*l - 198*l**5 + 353*l**5 wrt l?\nAnswer: -20*l**3 + 23496*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 456, 627, 822, 1047, 1308?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102102110000 + 100?\nAnswer: -102102102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 118? (a) -97 (b) -0.3 (c) 2 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -772.56.\nAnswer: -2317.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 43*y - 4. Let b(o) = 69*o. Give b(f(x)).\nAnswer: -69*x**2 - 2967*x - 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -212898, 4, 212\/7, 2 in increasing order.\nAnswer: -212898, 2, 4, 212\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 4*g + 40. Let y be x(9). Let d(b) = b**2 + 1. Let z(k) = k**3 - 10*k**2 + k - 1. Let q(w) = y*d(w) - z(w). Give q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7526 (base 11) to base 6\nAnswer: -114022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 15 + 5. Let o(f) = 3*f + 1. Let u(j) = 2*j + 1. Give b*u(i) - 3*o(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 5) + (-7 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3432576, -3432579, -3432582, -3432585, -3432588, -3432591?\n\"Answer: -3*b - 3432573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 + 92. What are the prime factors of (-2004)\/(-9) - z\/(-24)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.346 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38056 + 38052.8. Does z = 0.233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y - 110. Calculate i(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 230*x**2 + 5467*x + 2848. What is k(203)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 374*u + 7 = 377*u, 3*k + 2*u = 18. Let q(i) be the third derivative of i**4\/24 - 2*i**3\/3 - i**2. What is q(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 - 368*r - 364 = 0 for r.\nAnswer: -91, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-3 + 2 + 1). Suppose 0 = 5*n + x - 6, 0*n - 2*n = -x - 8. Suppose d = -3*u + 2*u + n. Calculate the remainder when 3 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**3 + 2*o**2 + 5*o + 4. Let h(w) = 5*w**3 + 2*w**2 + 4*w + 3. Let t(j) = -4*h(j) + 3*r(j). Determine t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6333\/4 - 1593. Let m = -10 + 40. Find the common denominator of f and 3\/m*(-1425)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**3 + 9*a**2 + 21*a + 8. Let j(m) = -14*m**3 - 27*m**2 - 62*m - 25. Let k(z) = 6*j(z) + 17*u(z). Is k(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 4420?\nAnswer: -4415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t**2 + 7. Suppose 3*p + 6 + 34 = 4*a, 0 = -5*a - 2*p + 27. Let n(j) = -7*j**2 + 5. Give a*n(z) - 5*l(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 878.3 + -868. What is the second biggest value in -2, 0, 1\/3, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*r + 0*r + 2*r**2 + 9*r - 1 to q*r**2 + x + n*r and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2883, 2971, 3055, 3135, 3211?\nAnswer: 3283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2768 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 1. Let w be x(-1). Suppose -3*q + 8 = -4*b, -3*b - 18 - w = -4*q. What is the remainder when 22 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*g**3 + 53*g**2?\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m**2 + 0*m)*(-79 + 111 - 48) + (3*m + 0*m - 5*m)*(4*m - 2*m - 5*m).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1335 + -1333. Solve 8 = 3*q - 2*s, 3*s = -c*q + 6*q - 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -284.6 - -285. Is 34\/3 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**(-34)*(i*i*(i\/(i\/((i\/i**(-7))\/i)*i))\/i)\/(i*i**(-14)) assuming i is positive.\nAnswer: i**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20602 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 2:17 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -112*b**3 - 5*b**2 + 5*b. Let y(d) = 616*d**3 + 28*d**2 - 28*d. Determine 28*t(i) + 5*y(i).\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.32 + -0.02. Let g = -2.7 - h. Which is the biggest value? (a) 1 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 72? (a) 1\/7 (b) -0.5 (c) -2\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(704) - ((0 + sqrt(704))**2 - sqrt(704))*-1) + 5)*2*-2 + -1.\nAnswer: -2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4782 - -4779. Which is the closest to -4? (a) 0.3 (b) d (c) 5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - (1 + -3 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18\/91 - 1\/455. What is the smallest value in 3\/5, b, -11\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c37b (base 14) to base 5.\nAnswer: 2034000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 784350907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) - (-81)\/165. Let o be 1 + -5 + 4*1. Are o and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 2739?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.430733913 to one decimal place.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 1)*(-2*t - t + t) + (0*t - 4*t + 3*t)*(4 + 17 - 5).\nAnswer: -26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-4 - (-50)\/8). Let o = -5 + 7. Let l = 5 - 9. Which is the third smallest value? (a) y (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*2*-2 + sqrt(152) - sqrt(152))\/(-1*sqrt(648) - sqrt(648)).\nAnswer: 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4288, 4293, 4298, 4303, 4308?\nAnswer: 4313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1)*(17 - 16). Let u be 9\/((-1)\/h) - 4. Suppose 12 = -q + 5*w, -u*w = -3*q - 0 - 6. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 159383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -16. Let b be (-256)\/(-180) + k\/18. Determine v so that 6\/5*v**4 + b*v - 2\/5 - 2\/5*v**5 - 4\/5*v**3 - 4\/5*v**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 318280483 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1816 = 189*l + 493 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = -0. Suppose -4 = -2*t + 4*v, 3*t = -2*v + 12 + z. Solve -k - k = t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 13. Let f(u) = u - 4. Let i be f(y). Suppose -3*n + 2*n = i*l + 8, 0 = 4*l - n + 13. Which is the closest to -0.1? (a) l (b) -1\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1*2 + ((sqrt(133) - (sqrt(133) + sqrt(133) + 3*sqrt(133)))\/sqrt(7))**2.\nAnswer: 2*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -194*r**5 - 27*r**3 - r**2 - 880*r - 2 wrt r?\nAnswer: -11640*r**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, u: 6}. Give prob of sequence uunn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62\/5 + 511\/40. Let u = 6.6 + 0.4. Sort u, l, 4 in decreasing order.\nAnswer: u, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67200 is divided by 7911?\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 14. Let v(x) = 1. Let q(s) = -b(s) - 2*v(s). What is the units digit of q(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 9*l - 3. Calculate the remainder when (-6)\/27 - (-1 - (-580)\/(-18)) is divided by m(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12238 (base 14) to base 3\nAnswer: 2020211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 z when three letters picked without replacement from {z: 2, c: 11, o: 2}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 5*v + 3. Let b be k(4). Let c be 1\/(1 + b\/30). Let i be ((-25)\/c)\/((-1)\/(-2)). Let h(s) = -s**2 + 4*s + 5. What is h(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + 54 + -62?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1425*l - 5040 = 1418*l. What is the highest common divisor of l and 320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143 and 130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768934.\nAnswer: 2, 37, 10391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 4*g**2 - 2*g + 5. Suppose 27*n + 7 = -20. Suppose w = 2*a + 6, a - 4*w + 12 = -3*a. Let m = n + a. Determine p(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0495 - -329.0495. Let g = 329.38 - x. Round g to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -740000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 262720*r - 262725.\nAnswer: 5*(r - 1)*(r + 52545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/4 (b) -0.01 (c) 4 (d) -1.25 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 33. Suppose 0 = s*n - 46 - 2. Calculate the remainder when n\/(-9) + 2 - 1202\/(-18) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 721 divide 3685752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -122222?\nAnswer: -122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(272) + sqrt(102)\/(sqrt(6) + sqrt(18)\/sqrt(3)) + 2*(-3*sqrt(68) + sqrt(68)))**2.\nAnswer: 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 292.8 - 292.7. Sort h, -0.02, -2.5 in descending order.\nAnswer: h, -0.02, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 1086606?\nAnswer: 1086604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*y**2 + 3689*y - 58907?\nAnswer: -16*y + 3689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i**3 - 2*i**2 - 8*i. Let b = -2424 + 2428. Let o(u) = -5*u**3 - u**2 - 3*u. Determine b*f(c) - 11*o(c).\nAnswer: -c**3 + 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -95. Let i = -15 - s. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -7*d**3 - d**2 - 22. Find the second derivative of z(c) wrt c.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (149 - 213 - (14 - 2))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67459*j**5 - 45826*j?\nAnswer: -1349180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2192*w + 0 + 407*w**2 - 400*w**2.\nAnswer: 7*w**2 + 2192*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 23. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -142\/3331 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1174*p + 289931. Calculate c(-247).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -10568523?\nAnswer: -5\/10568523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + o)*(-o + 0 + 0)*(-3*o + 2*o + 3*o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(312) + -3*(sqrt(312) + sqrt(312)*-2 + sqrt(312))))\/(sqrt(30)\/(sqrt(35)\/(sqrt(7)*2) - sqrt(5))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/40*2)\/(21\/10).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1664 and 1019954?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 - p**3 + 1 + (3*p + 6*p + 2*p)*(-3*p**2 + 3*p**2 - 2*p**2) + 7*p**2 - p**3 - 7*p**2 to c*p**3 + z*p + d*p**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94931267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 19*p - 1. Let h be x(2). Suppose 95 + h = 4*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2810117 and 66079?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1427 + 4279\/3. Suppose -2*i = 3*y + 2, 5*y - 3 = 4*i + 23. Let v be y\/(-4) - (-10)\/4. Which is the closest to v? (a) 0 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 880 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -20*w**2 - 8*w - 177. Let y(d) = -d. What is y(h(q))?\nAnswer: 20*q**2 + 8*q + 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69314.555712 + -7.5?\nAnswer: 69307.055712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v - 41 + 69. Suppose 23*g + 440 = 27*g + v*l, 0 = 2*g + 4*l - 208. Calculate the highest common divisor of 728 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 91, -221, -669, -1259, -1997?\nAnswer: -2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3279032, -3279031, -3279030, -3279029, -3279028, -3279027?\nAnswer: -3279026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-10)*-550 + -1*1. Suppose 196 = 5*s - f. Let w = s + -91. Solve 0 = 3*c - 9, -w*k - 10 = 2*k - 5*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/7))\/k**(4\/5)*(k*k**(1\/8)*k)\/k**(-2\/17))**(-42\/11) assuming k is positive.\nAnswer: k**(-38961\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 0*v**2 - v**2)*(v**2 + 2*v - 2*v) + v**4 - 2*v**4 + 2*v**4 - 41*v**2 - 19*v**4 + 41*v**2.\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*7\/((-42)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9012, -72139, -243464, -577083, -1127092?\n\"Answer: -9016*y**3 - 3*y**2 - 6*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -4565884\nAnswer: -3\/4565884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 226*a**2 + 5*a - 8. Let t be c(-5). Let w = t + -10817. Round w to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Suppose k = q + 4*q. Suppose q*m + 4*m = 56. Calculate the greatest common divisor of 70 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 10:07 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvfizvb. Give prob of sequence uf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q - 3*q**2 + 9 + 1 + 1 - 2*q to o + z*q**2 + p*q and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4054 + 2410. Let v be (3\/(-2))\/(18\/x). Suppose -v = -5*n + 148. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -38 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*m + 96*m = -2*f - 3, 2*m = 3*f + 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*h - 4*h. Suppose 0 = -3*p + 6, -2*b + h*p - 46006 = -3*p. Round b to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2590977 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llolllllolililllolll. What is prob of picking 1 i and 1 o?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 23*h = -244254. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -9)*(-2)\/2. Suppose 4*k = 43 + 1. Calculate the highest common divisor of y and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, j: 10}. Give prob of sequence jj.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15)*(-3)\/(-12).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2996*l**2 + 2977*l**2 + 2*l - 6*l to the form v*l + s*l**2 + m and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4 = -3*h + 3*u, 40 = -5*h + 5*u. Let b be (-1 - -3)\/((-2)\/h). Is 6\/b*(-8416)\/(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 5*v + 3. Let m(x) = -4*x**2 - 19*x + 13. Let c(r) = -26*a(r) + 6*m(r). What is the second derivative of c(o) wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/3 - 2854*s**3\/3 + 1017623*s**2 - 1450602580*s\/3 + 258338392900\/3 = 0.\nAnswer: 685, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, i: 3, b: 5, l: 1}. Give prob of sequence blqb.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:16 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9021)\/(-589) + (44\/(-2) - -7)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + 0 + 3 + 20 + 1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2. Let p(q) = -1856*q**2 + 399*q - 4. Give p(a(n)).\nAnswer: -16704*n**4 + 1197*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3630 + 2 + -1)*(186 - 175)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, i: 1, a: 7, n: 2, h: 3}. Give prob of sequence ei.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 217 + -210. Solve -o*k + 2*k = -20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36500926 a multiple of 2455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*x + 38*x - 3 = -j, 3*x = -5*j + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -4 (c) -9016\/11285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 634 + -626. Let r be ((3 - 2)*-1)\/(w - 13). What is the second smallest value in r, -0.2, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -2, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 324 + -3?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -71405666 plus -8.014?\nAnswer: -71405674.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -5, -3, 0 in decreasing order.\nAnswer: 7, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 165\/20*4\/3. Suppose 0 = -4*w + m + 9. Let f(a) = 3*a**3 - 5*a. Let c(u) = u**3 - 2*u. Give w*c(o) - 2*f(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 83.627 seconds?\nAnswer: 83627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*b + 12*b + b**2 + 9*b - 10*b**3 + 28*b**3 wrt b?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7642 (base 9) to base 13\nAnswer: -273b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(208)\/sqrt(4)*-6.\nAnswer: -12*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28273.999975114 + 28274. What is g rounded to seven decimal places?\nAnswer: 0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 829962?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130) - (sqrt(130) + 1*sqrt(130)*3 - sqrt(130)))) + 4*1*sqrt(130))\/(-2*sqrt(40) + sqrt(1210)*-2).\nAnswer: -7*sqrt(13)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 5*r**2 + 3*r**2)*(110400*r - 110400*r + 721*r**2) + 2 + r**4 - 2.\nAnswer: 2885*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68008 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -13*l + 17*l. Solve -l*w = -0*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 - ((-5 - -6) + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 395.0881 years?\nAnswer: 4741.0572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-6) - 0)*3. What is the greatest common divisor of t and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 28 = -0*i - i, -105 = -5*k + 2*i. What is the highest common factor of 69 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46444175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*k**4\/2 + 3783*k**3 - 159705*k**2\/2.\nAnswer: -3*k**2*(k - 819)*(3*k - 65)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 7*g + 4*g - 56 = -0, 9*s + 10 = -2*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 - (9 + 2))\/(-1*3). Suppose t*w + 67266 = 18*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b + 12*b + 0*b. Let g be s(4). What is the derivative of -194*c**3 - g + 3 + 186*c**3 wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197104*o - 197104*o + 72*o**3 - 71*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.54 - 24.74. Sort 34, 1\/8, r in decreasing order.\nAnswer: 34, 1\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4559 is divided by 1036?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilometer in meters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 3 (c) -0.2 (d) 1\/77 (e) -110 (f) -1\/120\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 - 9*j - 5. Calculate q(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174736 divided by -6.\nAnswer: 87368\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 601 + -847. Let j = x - -1719\/7. Sort 1, j, -1.\nAnswer: -1, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*w**3 + 3*i*w**2 - 211*i*w + 47*w**3 wrt w.\nAnswer: -12*i*w + 6*i + 282*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67404615.\nAnswer: 3, 5, 41, 127, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 45*s + 55. Suppose q - 17*q = -13*q + 3. Determine v(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 11*p**2 - 10*p + 11. Let y = 20 - -12. Calculate the remainder when y is divided by a(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18))\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8 - 96*h + 148*h - 57*h + 19. Give d(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 18*i**2 - 38*i - 40. What is q(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 != -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/38 + -11 + 3210\/190?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**8\/252 + 541*t**7\/630 + 667*t**6\/360 - 407*t**5\/180 - 671*t**4\/72 - 67*t**3\/9 - 3*t**2 + 1344. Solve i(j) = 0 for j.\nAnswer: -134, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*(3 - 20\/6). Let q(j) = j**3 - 4*j**2 + 4*j. Let w be q(x). Solve l - w = -2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a - 51*a - 24 = 0. Is (a\/(-24))\/(2\/7158) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 17, -1, 160, -8 in increasing order.\nAnswer: -8, -1, 17, 89, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = -18. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3676.716 weeks in minutes?\nAnswer: 37061297.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.38 + -30. Let w = 341.84 + -342.22058. Let c = w + r. What is c rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 5*g + 10. Let l be y(-8). Are -14 and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpfjfufppffj. What is prob of picking 1 j, 2 p, and 1 f?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102802 is divided by 142?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from drdrccdddrcr?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*q + 24 = -2*s, -4*s - 28 = 5*q. Let n(o) = -2 - 7*o + 1 + 2 - 2. What are the prime factors of n(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2561 and 394?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1201031 + 32?\nAnswer: 1201113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 113*b + 10521. What are the prime factors of d(62)?\nAnswer: 17, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 0*y**2 + 0*y**2. Let z(g) = -148*g + 298*g - 148*g. Give z(x(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, u: 1}. Give prob of sequence tu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, t: 11}. What is prob of sequence ttt?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:32 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 6:14 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1780 or 1782?\nAnswer: 1780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5364950 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -17\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4986*b**4 - 12*b**2*i**3 + 2*b*i + 3964318*i**3 with respect to b.\nAnswer: -19944*b**3 - 24*b*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 288 = -5*r - 21*r. Calculate the greatest common factor of 1800 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.3, 5\/3, -4\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1961 (b) -1.3 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.06. Let b = 222240 - 222243. What is the third biggest value in 0.1, l, b, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44, -33, -26, -23, -24, -29, -38?\n\"Answer: -2*n**2 + 17*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3078 = -5*b. Let x = b + -256. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m**2. Let g(j) = -10217910*j**2. Determine i(g(b)).\nAnswer: -835245478144800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4448328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 384533, 768963, 1153393, 1537823?\n\"Answer: 384430*f + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1201 (c) -2\/3 (d) 4 (e) 9\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3726 and 66042?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 294, 591, 902, 1227, 1566, 1919, 2286?\n\"Answer: 7*o**2 + 276*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1563499?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 13, b: 3, p: 1}.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146702, 586823, 1320356, 2347301, 3667658?\nAnswer: 5281427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 + 6\/60*15. Suppose 5 = v - 2*u - 17, 0 = v + 2*u - t. What is the first derivative of v*c + 11*c**2 - 4 + 46 - 12*c wrt c?\nAnswer: 22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*308\/7. Let y be q\/(-14) - 4\/(-14). Let s(m) = -5 + m**2 - 2 + m + y. Calculate s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.46706 rounded to one dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omv when three letters picked without replacement from ovoamoko.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 3*f**2 - f + f**3 - f in the form b*f + h + m*f**2 + l*f**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s**(-5)\/s))\/(s\/(s*(s**(-3\/2)*s)\/s*s)*s*s))\/(s**1)**30)\/(s**1\/s**(-4))**(-9\/4) assuming s is positive.\nAnswer: s**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 10*c**2 - 36*c + 5 + 36*c. Let q be d(-10). Suppose -851 = -4*u - q*y - 7, -422 = -2*u - 2*y. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29434911*c**3 + 58869790*c**3 - 29434907*c**3.\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 2*i**2 + i + 4. Let f be a(-3). Let v = f + -5. Suppose 0 = -v*p + 17 + 8, 125 = 4*j - 3*p. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 23*m - 14. Let x be t(-7). Suppose x = 5*b + 6092 + 29228. Let y = -3351 - b. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/6 + 2)*32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8399 at most as big as 90299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 56 = -60138*r + 60135*r, -40 = 3*r + 6*i - i for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.249 times 0.48\nAnswer: 0.11952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 9*a - 7. Let j be g(-7). Let o be 8\/j - 500\/(-14). Calculate the greatest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 256\/128853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 63, 141, 251, 393?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.03711 rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11132323344 (base 5) in base 14?\nAnswer: -1905c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 26 - 87 + 41 + 20 + 2100*m**2. Let z(x) = -6*x**2. Calculate z(b(n)).\nAnswer: -26460000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 1:25 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 46970458 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 4. Let s be h(-6). Suppose -s*j = 3*d - 7*j + 15, 26 = -2*d - 2*j. Which is smaller: -17\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -209? (a) -0.387 (b) 0.3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 86 - 15 + w + 114 - w + 3*w - 4*w + (-4*w + 2*w + 0*w)*(-1 - 5 + 4) + 1 - 1 + 6*w to s*w + k and give k.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 59*r + 42. Let d be s(23). Let h = d + 260. Solve -2*i + 17 = h*g, g + i - 10 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 381711855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Suppose 5*d - 10 - z = 0. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(1 + 0 + 0) + 2 + 2 - 5)*(5 + 0 - 3)*(-2*s**3 + 4*s**3 - s**3).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5054 times -778.7?\nAnswer: 3935549.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69399347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q - 16. Suppose q*z = 8 + 64. Find the first derivative of -3 - 5*o - 2*o + z*o - 11*o wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**5*j**29*(j**(3\/8)*j*j)\/j**37 assuming j is positive.\nAnswer: j**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtxzzttnmmxm. 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 k = 97 - 32. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04393 from 144.465114.\nAnswer: 144.509044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*t + t - 465, 0 = 2*w + 3*t - 915. List the prime factors of w.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -104*u - 235. Let w(b) = -37*b - 79. Determine 3*k(n) - 8*w(n).\nAnswer: -16*n - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/45 - 562\/(-18). Suppose -25*j + w*j - 636 = 0. Suppose 4*p - 5*o = 302 + j, 2*p - 3*o - 204 = 0. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-seven quarters of a day?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 0.587943 in increasing order.\nAnswer: -3, 0.587943, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j = -52*j + 387426. Let i = -18529 + j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 21761 - 235*x**3 + 5*x - 21785 + 43541.\nAnswer: -235*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256 divided by -2?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 850 and 150.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 1\/6*u**3 - 1 - 74*u - 13\/24*u**4 + 0*u**2 + 11\/40*u**5. Factor l(j).\nAnswer: j*(j - 1)*(11*j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 424059.321 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/489 and 25\/12?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -1, 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162 divided by -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2481 divided by -827?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -11*v + 16. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 3*(0 + (-2 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145915 and 3032379?\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = o. Let k = 1 - o. Let s(i) = -3*i - 3 + 0*i + 4*i. Determine s(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3391 (base 15) in base 14?\nAnswer: -3db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920560 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0*m**2 + 1\/12*m**4 - 4*m + 0 - 1\/9*m**3 - 1\/60*m**5. Let d(t) = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.1148, 4, -0.3, 0.1, -0.128?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 + 3*n**2 - 6*n**2. Let q(g) be the second derivative of g**6\/120 + g**3\/6 - 2*g. Let d(h) be the second derivative of q(h). What is z(d(j))?\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 13 = 3*q, 4*q + 2*t = q - 29. Let s = q + 31. What is the tens digit of s - (-2 + 2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-2 - sqrt(220))*-2 - (sqrt(220) + sqrt(220) + -2*sqrt(220) - sqrt(220))*2)\/(2*2*sqrt(500)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:47 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**4\/4 + 2*h**3\/3 - 5*h**2\/2 - 10*h - 2. Let t be v(-2). Solve t = -6*c - 14 - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34870 and -4.\nAnswer: 139480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*y + 1 = 0, -4*y + 0 = -2*u - 2. Which is greater: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -220*j**2 - 10*j + 445. Let q(z) = 210*z**2 + 9*z - 445. Let n(k) = 6*i(k) + 7*q(k). Differentiate n(a) with respect to a.\nAnswer: 300*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1064, -3947, -8756, -15491, -24152?\n\"Answer: -963*h**2 + 6*h - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3824*i**3 - 3175 wrt i?\nAnswer: -11472*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/5*2\/(-16)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 21, 49, 89, 141, 205, 281?\n\"Answer: 6*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2321686365.4 and -0.045.\nAnswer: 2321686365.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 10*q**2 - 6*q - 8. Let h(s) = -s + 27. Let v be h(18). Is 5 a factor of j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-10) - 266\/(-35). Suppose -2*m = 2*m - i. Let v(q) = m*q**3 - 3*q**3 + 5*q**2 + 0*q**3 - 1. Determine v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1730 and (-355)\/3*462\/(-12320).\nAnswer: 13840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70 - -5?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*p = -395*p + 944 + 1298 for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u - 2*u**3 - 4*u - 3*u in the form s*u**2 + c*u + z + g*u**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36131?\nAnswer: 36131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 31717764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*c + 4 - 6, 2*v = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x**2 - 31*x + 6*x**3 - 5*x**3 - 7 + 30*x. Let f be z(-9). Does 5 divide 2 + (43*2\/f - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 9522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 29 = -2*l + 5*p, -2*l + 11 = 5*p. Let h = 21 + l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1014.\nAnswer: 1\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-4 + (-194)\/(-22) + -4). Factor -l*r**2 - 8\/11 + 8\/11*r.\nAnswer: -2*(r - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/105*210\/(-660)*11\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g - 7. Let n(c) = c + 2. Let t(a) = 17*n(a) + 6*u(a). Let x(h) = -h**3 - 9*h**2 - h - 5. Let o be x(-9). Suppose -o*f = -2*f. What is t(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -480 equal to -2879\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 4. Calculate o(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:11 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -0.14, -3\/20, 0.1, 2\/1917, -2, -3?\nAnswer: 2\/1917","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1018716 divided by 14764.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - 3*u + u)*((-1 - 3 + 2)*(-3*u - 3 + 3) + 0 + 2*u + 0) to c*u + i*u**2 + s and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 51\/9 - (-3)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70857486.\nAnswer: 2, 3, 7, 562361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*b - 16 = 0, 2*b + 72 = 9*w - 5*w. Suppose 2*c + 10 = 0, 695 = -2*i + 7*i + c. Calculate the remainder when i is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(11\/66*-8)\/((-8)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13729, 14287, 14859, 15451, 16069?\n\"Answer: z**3 + z**2 + 548*z + 13179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -n - 8, 3*w = 2*n - 2*w + 13. Suppose 0 = -4*u + 2*u + 10. Sort n, u, -4.\nAnswer: -4, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 6. Let g be b(10). Let t = -64 + g. Let w be 3 + t\/14 - (-2 + 1). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/10*(1 - 6). Let v be 16\/(-8) - (0 + x). Let n be ((-8)\/(-12))\/(v\/3). What is the third smallest value in n, 1\/3, -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-5)*3*40\/(-48). What is the first derivative of -4*v - 8 - v + 716*v**h + 5*v - 802*v**2 wrt v?\nAnswer: -172*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104.866078 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199e (base 15) to base 8.\nAnswer: -12655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3732 in descending order.\nAnswer: 0, -4, -3732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 208020 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2744 - 2744.3. Put c, -28, 6 in descending order.\nAnswer: 6, c, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44343 is divided by 14778.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 565568 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*z - 45, 16*u = 11*u + 4*z + 81. Solve -3*d + 5*f + u = 0, -5*d - 3 = -3*d - f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vevv when four letters picked without replacement from vrevvvreeeeee.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 + o**2. Let a be z(1). Let f be (217\/(-14))\/((-2)\/a). What is the common denominator of 14 - 12 - f\/10 and -13\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvsmsssssvjshssssdj. Give prob of sequence vd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-21)\/9) + (-3)\/9. Suppose -2*o - 8 = -i*o + h, 2*o + 4*h - 40 = 0. Suppose n - 3*n + 16 = 0. What is the lowest common multiple of o and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 5, r: 3}. Give prob of picking 2 s and 2 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17187*g + 8118*g = 11966*g + 614761 + 37324 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -617 + 204 + 3*j + 209 + 206. Let v(r) = -6*r - 5. Determine 13*n(d) + 6*v(d).\nAnswer: 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2484 + -1450. Let a be (-1 - (-585)\/2)*2. Let w = f - a. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21450.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -316011 divided by -8?\nAnswer: 316011\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - (0 + -6)) + 19997. What is n rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 17 + 31. Let y = v - -39. Suppose -5*a = q - 361, 3*a - 2*q = y + 187. What is the greatest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 38 - 41 - j - 3.\nAnswer: -j - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4\/7 - n**3\/7 - 15*n**2\/7 - 23*n\/7 - 10\/7 = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11977935 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 912.9331 millilitres?\nAnswer: 0.9129331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2514\/25140)\/((-1)\/(-790))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7325279, 7325287, 7325307, 7325345, 7325407, 7325499?\n\"Answer: f**3 + f + 7325277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28120 divided by -28120?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 117 - 492. Let l = m + 55. Is (-1)\/(-1)*l*(-26)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54044, 108279, 162744, 217439, 272364, 327519, 382904?\nAnswer: 438519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.93 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-18)\/(m*m**(-14)\/m))**(-7))**(-46) assuming m is positive.\nAnswer: m**(-1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3012.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 2.21?\nAnswer: 26.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Suppose 0 = -3*i + 4*o + 8 + 6, o = -2. Is i at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 5, r: 1, x: 1, m: 1}. What is prob of picking 1 r and 2 p?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -8 + 18 + 10 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 228.847 + -231.8. Round l to one decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**3 - 2*h**2 - h + 2. Let r be s(-2). Let c be (364\/(-21))\/(13\/15 + -1). Calculate the greatest common factor of r and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*c + 476 - 126 = 0, 0 = -5*z - c + 330. Suppose y = 4*s - 850, s - 4*y = -z + 285. What are the prime factors of s?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111\/13 + (-519)\/57 + 72\/684?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29605 - -29604.7. Sort 2850, 0, 1, h.\nAnswer: h, 0, 1, 2850","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r + 646 = 3*t, 0 = -r - 5*t + 116. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 35. Let w(h) = h**2 + h - 10. Calculate the remainder when 11 is divided by w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-56) - 1)\/((-1314)\/(-720) - 144\/120).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (144\/27 - -6)\/(16\/6) and -35\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12*-6*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 2*d**2 - 4304*d + 4302. Calculate j(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88971860?\nAnswer: 2, 5, 31, 143503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4127600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + 36 + (-354)\/(-24).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -202 + 202.5. Suppose -3*i - 48 = -54. Let y = 1 - 0.97. What is the second smallest value in i, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8793.796 litres to millilitres.\nAnswer: 8793796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -6*j + 1\/6*j**4 + 54 + 2\/9*j**3 - 3*j**2. Solve c(m) = 0 for m.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2 - 3. Let c = -37 - 1. Let p = c - -42. Solve -4*h - p*k - 12 = 0, -u*h - k = -3*k + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 14. Let u be v(10). Suppose -185 = b - u*b. Let h(m) = m**2 - 4*m + 5. Calculate the remainder when b is divided by h(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 26. What is the tens digit of 3\/(q + (-210)\/(-68))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.19. Let n = -0.129928 - t. What is n rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1653659.\nAnswer: 7, 337, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(12\/(-20)) + -3. Suppose -q*o + 4 = -4*o. Let k = 18 - o. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 33, 52, 71, 90?\n\"Answer: 19*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/5220*(-42480)\/(-77880).\nAnswer: 2\/435","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2*a + 2*a. Solve 0 = 5*j + 4*q - 12, 5*j - 9 = -a*q - 3*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311094 is divided by 5745?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634318877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5 + 3. Suppose 230*w - 400 = -1320. Sort w, 107, j.\nAnswer: w, j, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 4*d + 3. Let k(l) = -9*l**2 + 9*l + 6. Let q = 6290 + -6287. Give q*k(h) - 5*s(h).\nAnswer: -2*h**2 + 7*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/27 - (-2584)\/171. Suppose o*i = 11*i + 624. What are the prime factors of i?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477542 is divided by 213?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j - 11*j + j + (j - 3 + 3)*(4 - 3 + 2).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*m**2*s**3 - 595*m**2*s + 3*m*s**3 + m*s + 54491*s**3 + 22*s**2 + 7 wrt s?\nAnswer: -120*m**2 + 18*m + 326946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*h = 2, 0 = -3*w - w + 4*h + 4. Let k = -6 + 8. Solve w*x = k*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/((40\/(-16))\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 68. What is the nearest to 0.1 in l, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -629\/2, 7, -0.1 in decreasing order.\nAnswer: 7, -0.1, -629\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2638 (base 11) to base 13.\nAnswer: -173a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 30 - 31 = -4*n, 0 = -2*n - 3*a - 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/17 (b) 17\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0514 - -0.0014. What is the smallest value in 1, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 222. Let z = 41 + 110. Let w = z - 129. What is the highest common factor of w and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-3\/4))*(q\/((q\/q**3)\/q*q))\/q)\/((q\/q**2)\/q*q*q**(-1\/2)))\/((q**(1\/2)*q)**(3\/13)*(q*q*q**(2\/5))\/(q**0*q)) assuming q is positive.\nAnswer: q**(261\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167971.38 - -0.089.\nAnswer: 167971.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 86702.08 years in decades?\nAnswer: 8670.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 120\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/22 and 41\/358.\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.05 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14055105013.39999229 - 14055104840. Let a = 173.4 - u. What is a rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.664605033 rounded to four dps?\nAnswer: -39.6646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n + 0*n)*(6*n**2 + 2*n**2 - 2*n**2) - 3*n**3 - 3*n**3 - 9608*n + 9607*n - 2.\nAnswer: 6*n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-30)\/20)*9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggjjjggggg. What is prob of picking 4 g?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-16) + 288\/32 + -16.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 374, 5, -0.3, -13, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**3 - 56*n**2 - 45*n - 25. Determine j(-18).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**7\/1050 + p**6\/200 + p**5\/100 + p**4\/120 + p**2\/2 - 3. Let x(g) be the second derivative of k(g). Factor x(h).\nAnswer: h*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2280 and 570?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 9*h - 2. Let j be 24*-1*h\/(-4). Suppose -4*c = 2*t - j, t + 0*t = -c + 2. What is the smallest common multiple of c and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426 by 819116.\nAnswer: -213\/409558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s**3 - 5 - 11*s**3 + 6 to m*s + y*s**3 + q*s**2 + z and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 - -16. Let m = 201 - 146. Let b = 46 + m. Is y > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z. Let p(x) = -123*x + 1. What is m(p(l))?\nAnswer: 1353*l - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14299 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 9*s**2 - 3*s + 7. Give v(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -181, 21219 in decreasing order.\nAnswer: 21219, 5, -4, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01525372256 rounded to four decimal places?\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 4*b**2 + 6*b - 1. Let a be q(5). Let n be 54*(-1 + a)\/(-6). Let j = n - -70. Round j to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*z + 84, z = h - 0*h + 24. Calculate the smallest common multiple of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2041 - 7275 = 2*s, s = 5*m - 2645. Calculate the common denominator of (12\/(-90))\/((-5)\/(s\/9)) and -32\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4046 divided by 119?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from orfrfrrcffrfxrfrrfc.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**3 - 2*n**2 + 472*n - 932. Determine z(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/27 and 25\/189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 25*s + 2480 = 0. Calculate the remainder when 148 is divided by s.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 4 + 4)*(2*d**2 - 2*d**2 + d**2) + 7*d**2 + 29*d**3 - 7*d**2 + 0*d**3 - 2*d**3 + 0*d**3.\nAnswer: 23*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32353*b - 16174*b - 16181*b - 21.\nAnswer: -2*b - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -17. Suppose 4*a - w - 78 = 3, -c = -w. Let t(s) = 9*s + 21. Let r(k) = -k - 2. Determine a*r(n) + 2*t(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 19*v - 1496. Let u = v - -696. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/390 and 17\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyayyyyya. What is prob of picking 2 y?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h**2. Let l be 20 + ((-3108)\/1480)\/(4\/40). Let w(b) = -b**2 + 0 + 0. Determine l*x(q) - 5*w(q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115673.5 rounded to the nearest 10000?\nAnswer: 3120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12035 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8743 rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (174\/12 - 7)*(-1)\/10. Which is smaller: -16 or z?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.95 - -0.05. Let c = -23772.3 - -23772. What is the nearest to x in -4, 1\/2, 13, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 + -9 - 29) + -20 - -129?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-68)\/(-18) - 4) + (-290)\/(-9). Let x be (-16)\/g - (-1062)\/4. Let r = -62 + x. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14982665 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 5*g - 17, -5*k - 4299*g - 7 = -4303*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 34*y**2 - 70*y + 48. What is m(-36)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*b = -17, -b = -c + 1 + 5. Let d be c\/6 + (-132)\/(-72). Suppose -3*x + 4*x - 3*g = -3, g - d = 0. Solve -x*p = 12, 0 = 3*l - p - p - 23 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = b, -a + b + 8 = 3*a. What is the third derivative of 17*i - 100*i**2 + 189*i**2 - 93*i**a - 105*i**3 wrt i?\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**3 + 2*l**2 - 2*l. Let s(n) = -10*n**3 - 5*n**2 + 5*n. Determine -5*o(j) - 2*s(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -h - 9. What is the least common multiple of 54 and h?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from weeeeeeeewweeweeewe. What is prob of sequence eww?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13065 - 13047. Let x = -1.2 - 2.8. Sort x, 16, f.\nAnswer: x, 16, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 151 - -a47?\nAnswer: b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*a + 210908 = 0, 210936 = 4*u + 13*a - 15*a. List the prime factors of u.\nAnswer: 2, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -18*x**2 - 7*x - 194. Let w(t) = -27*t**2 - 10*t - 291. Let j(p) = 7*h(p) - 5*w(p). Differentiate j(a) wrt a.\nAnswer: 18*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -136, -132, -128?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14223312 (base 6) to base 16\nAnswer: -7685c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11565 + -11150. Solve 0 = -6*a - 379 + c for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20572 + 26578.6752.\nAnswer: 6006.6752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eufessmsfeffff. Give prob of picking 1 m and 2 e.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64615087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -0.5, -4, 42?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 + 18*s + (3*s - 5*s + s)*(0 + 0 + 10).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -247*(2\/6 + 16\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26809885?\nAnswer: 5, 31, 269, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 9 = -j, -6*j + 3*j - 17 = -n. Suppose 0 = -u + 5, 4*h + u = 7 - n. Suppose -t - 7*t + 40 = h. Calculate the remainder when 33 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -5*r - 9*r**2 - 1\/6*r**4 - 2*r**3 - 3. Let t(m) be the first derivative of v(m). What is i in t(i) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40899434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -62394\/7 less than -8913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -37*i - 16. Let q(b) = -37*b - 21. Calculate -3*q(g) + 4*v(g).\nAnswer: -37*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0*j**6 - 2 + 0*j**5 + 13\/6*j**3 - 1\/12*j**4 + 34\/21*j**7 + 0*j**2 - 2*j. Find the third derivative of y(i) wrt i.\nAnswer: 4080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*i + 754 = 706 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63219 is divided by 3326.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110010011100001 + 100?\nAnswer: -101110010011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1539)*-2.\nAnswer: -90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueeuueeyoe. What is prob of sequence oue?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 31 - 17 + 8*y)*(-3 + 3 - 3).\nAnswer: -24*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c + 2. Suppose -5*l + 3*a = -5 - 0, -5 = -a. What is d(l)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510012 is divided by 929.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(190)*3 - (sqrt(190)*-2*-4 + sqrt(190)))\/(2*(sqrt(490) + -2*sqrt(490))*5))**2.\nAnswer: 2736\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-4256))\/((-253)\/322)?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 528 - 528.2. Let i = -0.5 + 0.6. What is the closest to -1 in i, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 + 785?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 119*t**2 + 491*t - 176. Determine q(-123).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -2\/59 (b) 0.5 (c) 1648\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - g + 40. Calculate the least common multiple of h(0) and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1181 + 343 = -6*a. Let m = -174 - a. What is the greatest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132 or 1.2?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3208 - 1.6792. Which is the third smallest value? (a) 6 (b) 0.2 (c) 0.1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31104159 divided by -3629?\nAnswer: -8571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 30 = 4*m. Suppose 0 = -4*b + 2 + m. Let z(a) = -2*a**b + 9*a**2 - 4*a**2. Let i(p) = -p**2. Give z(i(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2140 - 253 - 276)*(h + 0 + 0)*(-3*h - 12 + 12) as r + z*h + m*h**2 and give m.\nAnswer: 8007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743*c**2 - 747*c**2 + 1488*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -0.1, 2048 in ascending order.\nAnswer: -39, -0.1, 2048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*s**2 - 21 + 21 + (-3 + 3 + 2*s)*(-3*s - 4*s + 4*s).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33312092, 66624186, 99936280, 133248374, 166560468, 199872562?\nAnswer: 233184656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 3)*(-9 + 3 - 9)*(0 + 11*r - 22 + 35) to w*r + k and give w.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - m + 2)*(0 + 0 + 2*m + (-2 + 0 - 1)*(3*m + m - m)) + 0*m**2 + m**2 + m**2)*(1261*m - 2613*m + 635*m) to v + g*m**2 + c*m**3 + b*m and give c.\nAnswer: -6453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grga when four letters picked without replacement from ggbgaggrgggiggarbab?\nAnswer: 15\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212 (base 3) to base 4.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 122 - 28*s**2.\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 1683?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -19, -5 in descending order.\nAnswer: 52, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(77) + sqrt(77) + sqrt(77)*-1 - sqrt(77))*-6 - sqrt(77))\/sqrt(7).\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 312971823 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 12, 5*z - 2855 - 1551 = -c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 7*p + 21216 = 52*p. What is the highest common factor of 1584 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5258097351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2191 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4682, -4324, -3760, -2996, -2038?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = x - 2*x - t, -3 = -3*x + 3*t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 9*v**2 - 7*v + 116. Does 12 divide t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1506*o**2 + 383*o**2 + 356*o**2 + 356*o**2 + 447*o**2 + 2.\nAnswer: 36*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 33 + 5. Let o be 1*(4 + -6)\/((-1)\/q). Suppose 7*n - o*n = 530. What is n rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 5:51 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11162 + 11532 = -37*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1558674*a**3 - 2798540?\nAnswer: 4676022*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 38776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2696 divided by 337\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (322\/63 + -5)*(-84)\/(-6). Suppose -3*g + 5 = -2*f - 4, 4*f - 27 = -3*g. Which is greater: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (100\/15 + -7)\/((-2)\/(-6)). Let a(b) = -585*b - 1. Let t be a(x). Let s = -373 + t. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**2 - 7*c**2 - 4*c**2)*(-25*c + 12*c + 10*c) + 1 - 1 + c**3 as v*c**2 + d + s*c + i*c**3 and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 6*p**2 + p + 6. Let h be y(-6). Suppose x - 520370 - 327359 = h. Suppose -x = 4*s + 2392271. Round s to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = -23*g + 2. Differentiate -7 + 6*b - 11*b**g - 2*b - 4*b with respect to b.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 549 + -4389\/8. Which is the fourth smallest value? (a) 5 (b) -4 (c) -87 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8221483 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 5, v: 7}. What is prob of sequence wvvw?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1023639164 and 562?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55213 (base 8) to base 5.\nAnswer: -1220204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n. Let h(r) = 18*r**2 - 10*r - 10. Let y(a) = -a**2 + a + 1. Let t(b) = h(b) + 10*y(b). What is z(t(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 + -2048?\nAnswer: -2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 w when four letters picked without replacement from xcxxwxcc.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4\/3, -5, -20\/23, -0.1, -6?\nAnswer: -20\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -11. Let z = 38 - x. What is the remainder when z is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15578 - -15580. Solve u - 4 = g*v, -6*u = -7*u - v - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -105810*((-42)\/168)\/(1\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2044 + -13?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -41*n + 6. Let p(o) be the third derivative of -5*o**4\/3 + 7*o**3\/6 - 2*o**2. Let i(f) = -7*p(f) + 6*s(f). Differentiate i(d) with respect to d.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1662924 and 10?\nAnswer: 8314620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -x + 9. Let o = -16 + x. Suppose 2*s - 20 = o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 0, 4*g = -2*i + 1 - 5. Let a = i - -10. Calculate the remainder when 23 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -319.02 - -319. Let f = -15 + 14.48. Let d = o - f. What is the nearest to -1 in -2, d, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 489*j**2 + 35 - 243*j**2 + 84 - 245*j**2 to the form h + d*j + l*j**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 7*u + 14. Determine f(10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/35)\/((-1)\/5). Find the common denominator of (-267)\/42 + j - 1 and -31\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 226 + 236 = -4*n, -6*j + 4*n = -20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**2\/2 + 1. Suppose 3*a - 14 + 8 = 0. Let j(q) = -4*q - 4*q + a*q. Determine j(k(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 5*z**6\/3 - z**5 + 296*z**3\/3 + 865. Find the third derivative of t(a) wrt a.\nAnswer: 600*a**2 - 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p, -s = -0*s + 3*p - 2. Solve -3 = s*a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 17. Let x be r(-8). Let b = 31 + x. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -265, -5 in descending order.\nAnswer: 6, 1, -5, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0*h**2 - 9365*h**3 + 0*h**2 + 8751*h**3 to the form q + r*h**3 + i*h + z*h**2 and give r.\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198322*q**3 - 99680*q**3 - 98650*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, k: 2, f: 2, d: 4, n: 3, e: 1}. What is prob of picking 1 n and 1 f?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -12 - 30. Suppose 0 = -2*a + 4*j + v, -4*j - 58 = -3*a + j. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 91*f + 2807. Give x(-47).\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*h + 0)*(794 - 105 - 58)*(1 - 4 + 2) to i*h + o and give i.\nAnswer: 1262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 v, and 1 y when four letters picked without replacement from {y: 5, k: 6, v: 6, u: 1, j: 1}?\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = 2*i. Suppose 0 = -15*h + 1328 + 202. Let n be h\/(-255)*(-12 - -2). Solve 13 + i = -n*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-6\/7))\/b)\/((b**(-4)\/b)\/b)*b**15\/b**1 assuming b is positive.\nAnswer: b**(146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -33. Let w = 8 + g. Is w*5\/(30\/(-573)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15441 - 9665. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z. Suppose 5*r = 34 + 31. Let u(b) = 13 - r - b**2. Determine t(u(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 48 = 7*b. Let r(w) = 7*w - 9. What is the remainder when r(b) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -5*u - 3432. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011147604 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/12 - (-100)\/12. Calculate the greatest common divisor of q and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*c - c**3 + 57*c**4 - c**2 - 59*c**4 - 51*c - c**2 + c**2 + c**4 + (3*c - 5*c + 3*c)*(c**2 - c**2 - 2*c**3) + 3*c**4 + 2*c**4 - 7*c**4.\nAnswer: -5*c**4 - c**3 - c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182238 is divided by 1648.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -66. Suppose 2*i = x + 97. What are the prime factors of i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(448).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**3 - 70*m**2 - m - 16. Let l(w) = 7*w**3 + 83*w**2 + w + 17. Let y(c) = -5*l(c) - 6*s(c). Calculate y(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(147\/(-6)) + (-232)\/28. Let g be (-4)\/(-90)*(z - -12 - -6). Factor 0 + 4\/9*b**4 - 4\/9*b**2 + g*b**5 - 4\/9*b**3 + 0*b.\nAnswer: 4*b**2*(b - 1)*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101010000011110 (base 2) in base 4?\nAnswer: 1031100132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (-361)\/38)*(-11 + 3 - -252).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 280.6998948 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 79.99878. Round h to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 - 64 = m, -3*m + a = 182. Let c = 2960 - 23777\/8. Find the common denominator of (-309)\/m + 1\/5 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-1)*3\/(-9)*18. Let m(w) = w**2 - w - 4. Let n be m(-3). Calculate the greatest common factor of n and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**17\/((q\/((((q*q\/q**0)\/q)\/q)\/q))\/q)*(q*(q\/q**(10\/9))\/q*q)\/(q\/(q*q*q\/(q**(-4\/11)\/q))) assuming q is positive.\nAnswer: q**(2005\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130223 - 2003?\nAnswer: 122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 114.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/238)\/(((-285)\/(-255))\/(-19))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.087988 - -0.088. What is i rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1965 or 0.1?\nAnswer: 1965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25.2 or 1292900?\nAnswer: 1292900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 16388 = 15950 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.527 or -10\/479?\nAnswer: 0.527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**2 - 4*v**2 - 4*v + 3*v. Suppose -14 + 0 = -14*d. Determine q(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/5)\/(3\/2))\/(255\/2975).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.771864ml to litres.\nAnswer: 0.004771864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20098\/(-2319)*(-9)\/5*85\/34?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 156\/351 + 64\/18 - (-1 - 1). Solve -12 = -9*c + m*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 138, 514, 1132, 1986, 3070?\n\"Answer: -m**3 + 127*m**2 + 2*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 13. Put 1\/6, -2\/3, q in descending order.\nAnswer: 1\/6, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88479478?\nAnswer: 2, 149, 296911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:17 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.9763883759 and 52.17.\nAnswer: 55.1463883759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175768 is divided by 10910?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 75*j + 28. What is the units digit of f(25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2067498*d**2*u**3 - 18*d**2 - 8*d*u**3 + 398192*d + 2*u**3 wrt d.\nAnswer: 4134996*u**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.1 - 14.16. Let w = 0.06 + f. Let d be (2\/8)\/((-3)\/(-16)). Put w, -2\/5, d in descending order.\nAnswer: w, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o**2 - 484*o - 160 = 0.\nAnswer: -40, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -349, -979, -2121, -3925, -6541, -10119, -14809?\nAnswer: -20761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b + 32. Let g be v(-10). Suppose -19 + 27 = g*o. Solve -5*w + 15 = 2*s, -2 = -o*w + s - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**2 - 2 + 4*c**2 + 3*c**3 + c**4 - c + 0*c**2 as d*c + s*c**4 + f + r*c**2 + x*c**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1141, 692, 235, -236, -727, -1244, -1793, -2380?\nAnswer: -3011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sskk when four letters picked without replacement from kkskkkkkssk.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17363070 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**5\/120 + 2*t**3\/3 - 1. Let z(q) be the third derivative of k(q). Let y(d) = 1 - 1 + 2*d**2. Calculate y(z(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(5))*4 + ((-3*sqrt(5) + -2)**2 - sqrt(5)))*4.\nAnswer: 60*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11620 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaaazaiaziaiaia. Give prob of sequence ii.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/63 + (2 - (-183)\/9). Let v be (3 - 6)*(-154)\/6. What is the greatest common factor of v and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + 3*((sqrt(405) + 2 + sqrt(405))*1 + sqrt(405) + 1 + sqrt(405) + -1)))**2.\nAnswer: 10800*sqrt(5) + 1458100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 562591274 to the power of 1\/3, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k - 41*k + 6*k.\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (61053 + -1)*(13 - (-329)\/(-28)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**6 + 4*w**2 + w**6 + 2*w**6 wrt w?\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*y - 95, 0*p - 2*p - 3*y = 72. Let u = p - -39. Suppose -2*l + 0 = -u. Solve 3*v - l*s = -6, 9 - 1 = -4*v - 2*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93238609 smaller than 93238608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewle when four letters picked without replacement from {e: 2, g: 1, l: 3, w: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/1*((-3)\/9 + 2). Let j(p) = 9*p**3 - 12*p**2 + 15*p - 6. Let y(c) = -8*c**3 + 13*c**2 - 17*c + 7. Let x(m) = v*j(m) + 6*y(m). Solve x(g) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a factor of 1720058067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156 a factor of 17153136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 306*t + 11*t**3 - t**2 - 4*t**4 + 304*t + 3 to o*t + p*t**4 + j + f*t**3 + m*t**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 - k. Let f be r(5). Let a = 38 + f. Let u be a\/9 - (-2)\/6. Solve 1 = l - u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + -11122310012?\nAnswer: -11122303233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -u + 55, 130 = 5*u - 5*b - 125. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - 4*q**5 - 4*q**4 + (7*q**3 + q**3 + 6*q**3)*(8 - 8 - 2*q**2) + 34*q**3 - 34*q**3 + 11*q**5.\nAnswer: -21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1 + 4 - 6*s. Let q(d) = -d**2 - 17*d - 19. Let u be q(-16). Is 9 a factor of h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/20*(-3485)\/14637?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32 plus -15811796?\nAnswer: -15811796.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.4 (c) -0.4 (d) 0.1078 (e) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3\/110, 10, -0.5 in descending order.\nAnswer: 10, 3\/110, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let b(f) = -9*f - 133 + 133. What is b(g(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*p - 2776420 = -141*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*g - 5*h, 4*h + 2 = g - 3. Let i(z) = 3*z. Calculate i(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 406, 1666, 3768, 6712, 10498, 15126?\n\"Answer: 421*t**2 - 3*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21398 and -1539.\nAnswer: 32931522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/27 - (-25724)\/(-20601).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5148, 10290, 15424, 20544, 25644, 30718?\n\"Answer: -a**3 + 2*a**2 + 5143*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2779992.32 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15741)\/(-165))\/53*4\/(-522)?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3740 - 3740.4413. Let f = g - -17.4406. Let r = 17 - f. What is r rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5165628 (base 11) to base 13\nAnswer: -1b71588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1909, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 397 + -387. Solve 4*d = x*d + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26143 - 26140. Put h, -2, 25 in ascending order.\nAnswer: -2, h, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10824.585 + 0.141\nAnswer: 10824.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 16. Let j be w(-16). Let k be ((-63)\/(-54) - (1 - 0))*958. Let d = 161 - k. What is the nearest to d in -1\/2, j, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -0.0482?\nAnswer: 5.0482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1b802 (base 16) to base 11\nAnswer: 776a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 - 1031\/7. Let q = 5.6 + -6. What is the nearest to t in 0.4, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/311, -14, 13, -5, -2\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 66*f - 30. Does 30 divide y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/26)\/((-6)\/(-8)). Let v = 534 + -534. Sort b, -0.5, v.\nAnswer: -0.5, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3356*v**2 + 1714*v**2 + 1686*v**2.\nAnswer: 44*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11376 divided by 3?\nAnswer: 3792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -331, -502, -675, -850?\nAnswer: -1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 4 = j. Let a = j - 7. Suppose -a*v + 2456 = -3*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = -0, -274 = -4*w + 5*y. Calculate the greatest common divisor of 10 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/44 + (-1 - 6) + 4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**(-25)))\/(a**5\/a))\/(a\/(a**(-4\/11)\/a*a)*a**(-21)*a) assuming a is positive.\nAnswer: a**(447\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-227)\/(-15) + ((-2)\/15 - 0). Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196399 is divided by 283?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256032 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 257591794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.91543 litres to millilitres.\nAnswer: 32915.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -23*b**2 + 6358*b - 21489. Give m(273).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1949*g + 33. Let c be r(2). Let w = c + 9012. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93986*a*j**2*m - 3*j**2*m + 93*j*m - 46 with respect to a.\nAnswer: 93986*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.94 - -0.04. Let a = z - -0.9. Let h = a - -4.0007. What is h rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 40.9064.\nAnswer: -1472.6304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*b - 1 = 0, -5*o + 0*b + 3*b - 28 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 9 = -8*s - 5, 15 = -5*s - x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 509+-42.2\nAnswer: 466.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*w - 54, -2*x - 3886448*w + 3886447*w + 29 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120661*l*s**3 + 7*l*s - 7204962*l with respect to s.\nAnswer: -361983*l*s**2 + 7*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 60, -46808*j - 2*q - 48 = -46769*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**2 - 13*f**2 - 3*f**2 + 3*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - -1) + -1 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/10 less than or equal to -123.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2484 is divided by 475?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-310 + 296)\/(((-448)\/504)\/((-2)\/6 - -1))\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*b + 8 = 0, 4*l - 3*b - 5 = -13. Let x be (-5 + 4)*(l + 2). Solve t = -i + 3, 2*i + x*i = -5*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - w + 45 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11381963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**2*c**3 + 1052*b**2*c**2 - 28734*b**2 + 2*c wrt c?\nAnswer: -9*b**2*c**2 + 2104*b**2*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 8. Let p(f) = 41*f**2. Calculate p(j(h)).\nAnswer: 41*h**4 + 656*h**2 + 2624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*q - 35. Let i(v) = -v**2 + 10*v + 7. Let c be i(q). Suppose 2*m + 10 = 4*m, -2*k + c = 4*m. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 2*c**6\/15 + 5*c**4\/12 - 2*c - 2. Let b(q) be the first derivative of r(q). Find the third derivative of b(y) wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = s - 120. Suppose -6*u + 3*u + 24 = k, 38 = 2*k + u. What is the remainder when k is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 28395*i**2. Let k(v) = -14288*v. What is j(k(q))?\nAnswer: 5796752474880*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - c**2 - 13*c - 1. Let z be q(4). Suppose 0 = 6*b - z - 49. Solve -b = 3*o - 33 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/x**(-6\/13))*x)\/x)\/x**(2\/101) assuming x is positive.\nAnswer: x**(681\/1313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppjpoopoopo. Give prob of sequence op.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/7*(-65)\/(-26)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7 = 0, 26*l = -w + 25*l + 3574. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/3 (b) 5 (c) 2 (d) 96 (e) 4 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4138380280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 = 3. Suppose -5*m = -789*u + 794*u - 30, -5*u = 3*m - 22. What is the smallest common multiple of r and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -459 + 900. Calculate the highest common divisor of 9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3))**2*2 + sqrt(19) + sqrt(171)*-5.\nAnswer: -14*sqrt(19) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 x, and 1 q when four letters picked without replacement from {p: 1, x: 5, b: 1, q: 2, i: 8}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2737.71 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201468, 201466, 201464, 201462, 201460, 201458?\nAnswer: 201456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muddduumdudmeedmdu. Give prob of sequence ed.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**7\/84 - l**6\/12 - 9*l**5\/40 - 7*l**4\/24 - l**3\/6 - 129*l. Factor r(b).\nAnswer: -b*(b + 1)**3*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 10 = 4*l. Let u(s) = 7*s**2 - 16*s**l + 12*s**2. Let b(a) = -8*a + 3. Let g(w) = -40*w + 16. Let m(x) = -16*b(x) + 3*g(x). Give m(u(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 21 = 56 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13678 is divided by 739.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 161797, 161796, 161795, 161794, 161793?\n\"Answer: -q + 161798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.42 - 0.02. Suppose 2*y + 68 = 3*x, -14*x + 13*x - 4*y + 4 = 0. Which is the third biggest value? (a) x (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -1. Let i be -130*(-12*(-4)\/20 + 0). Let d = -3428\/11 - i. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d + 4174. Let q be v(0). Let g = 33451\/8 - q. What is the common denominator of 63\/58 and g?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*p**2 + 3 + (-6*p**2 + 11*p**2 + 3*p**2)*(0 - 4 + 3).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218 - -160. Let j = 57.61 + b. Let x = -38 + 38. Do j and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-346)\/(-1557) - 3\/((-27)\/70).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*s**2 + 2428*s - 696.\nAnswer: 4*(s + 87)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/(4\/(32\/27))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6740355 to the nearest integer?\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1602 (base 7) to base 3.\nAnswer: 212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + g - 9, -4*g + 12 = i - 2*g. Let k = -44 - -48. Let o(d) = 2*d**2 - 3*d - 11. What is the smallest common multiple of i and o(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 10*k**2 + 144. What is x(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.441 and 984.59363.\nAnswer: 984.15263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 - n**2. What is p(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 3:44 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 10370.\nAnswer: 31110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 216941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -32. Suppose -2*r = 4*u - 96 + 2, k*r + 35 = 2*u. Calculate the least common multiple of 4 + (-4)\/(-6)*-3 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 25*i**2 + 11*i + 19. Suppose 3 = -6*l - 3. Let g be (-4)\/(-3)*(35\/(-2) - l). Is o(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129.6 - 129.4. What is the second smallest value in i, -2, 13, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {d: 5, a: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - j = 3*j - 792, 4*j = -o + 207. Let k = o + -127. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3453 or 321158\/93?\nAnswer: 3453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 25*u**2 - 40*u + 141. What is the lowest common multiple of 109 and j(-23)?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -11*d. Let h(i) = -2819333*i**2. Calculate h(f(j)).\nAnswer: -341139293*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 97*k = -184*k + 5760 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2370 + -1645. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.8, 1\/121, -5?\nAnswer: 1\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 45458 and 554939579.\nAnswer: 554985037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 377736 and 472170.\nAnswer: 1888680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 113421.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4\/5 - 47*z**3\/5 + 168*z**2\/5 - 171*z\/5 - 54\/5 = 0. Calculate z.\nAnswer: -1\/4, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, 558 in descending order.\nAnswer: 558, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4454638 + -21745362. What is q rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168299 is divided by 295.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/4, -301, -2\/3, -25.\nAnswer: -301, -25, -4, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Suppose -5*b + 5*d + 190 = 0, -449*b - 78 = -452*b - 3*d. What is the greatest common divisor of a and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-93440)\/95040 - 2\/22*1 and 13\/480.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 smaller than 1038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6.69 (b) 0.3 (c) 53 (d) -0.5 (e) 1\/2 (f) -3 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2804 + -2802. What is the second biggest value in v, -2\/7, 22, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 6)*(s**2 + 0 + 0 + (5 - 2 - 2)*(3*s**2 + 0*s**2 - s**2)) + 7*s**2 + 5*s**2 + 53*s**2 - 2 to f + y*s**2 + g*s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + x - 1. Let t(h) be the third derivative of h**6\/120 - h**5\/15 + 5*h**3\/6 - 2*h**2. Let k be t(4). Let i be (-4)\/20 - (-1)\/k. Give j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 737191 by -16.\nAnswer: -737191\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/12*2 - (-2521064)\/1092.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 7*j**2 - 7*j - 1. Let b be d(6). Let h be (-1 - -1)*b\/14. Suppose -8*x + 263 + 105 = h. Calculate the remainder when x is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93, -427, -1013, -1875, -3037, -4523, -6357?\n\"Answer: -4*q**3 - 102*q**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18 - 2)\/(-4 - -2). Let s(h) = -h**3 + 9*h**2 + 12*h - 14. Calculate the remainder when 15 is divided by s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 316, -21, 141, 5, -2 in descending order.\nAnswer: 316, 141, 5, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 1:01 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 33, -636, -1899, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395840 + 395840 + 7346*o**2.\nAnswer: 7346*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(-43)\/((t**(-2\/17)\/t*t)\/(t\/(t\/(t*t\/(t*t\/(t*t\/(t**(1\/2)\/t)))*t))))*(t**(1\/2)*t)**(2\/103)*t**1\/(t**(-4\/3)\/t) assuming t is positive.\nAnswer: t**(-390185\/73542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, 5, 2\/7, 3, 0.9144?\nAnswer: 0.9144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 325 and 3445?\nAnswer: 17225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.10615 and 3.\nAnswer: -0.31845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-17)*p*p)\/(p*p**(7\/2)) assuming p is positive.\nAnswer: p**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.72 + -28.5. Let m = -43 - l. Round m to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.92 + 3.08. What is the closest to -1\/3 in 2, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -0.4, 2\/5, -3, -1\/5, -5 in ascending order.\nAnswer: -8, -5, -3, -0.4, -1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*a + 2 - 6, 2 = -4*t - a. Let w(x) be the second derivative of -x**3\/6 + 5*x**2\/2 + 3*x. What is the remainder when w(t) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130654.47 - -1080643.35. Let i = -1211299.21999946 + o. Let p = i - -1.4. What is p rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 3*s - 2. Let o be v(2). Suppose -k - 4*k + 30 = o. What is the least common multiple of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/2, -2880978, -0.1, 3\/5?\nAnswer: -2880978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 11) in base 4?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 142, 250, 464, 820?\nAnswer: 1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t, 430 = -2*o - 3*o + 2*t. Let v = -47 - o. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 14785*l + 3 - 1 - 4169*l + l**2 to the form b + p*l**2 + s*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o - 2. Suppose -5*n - 4*d = -24, 2*n - n = 3*d + 1. Suppose m - n = -m. What is t(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -52\/3, 1.7, -1, 0 in descending order.\nAnswer: 5, 1.7, 0, -1, -52\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1880*j + 2*j**2 + 1880*j + 1298)*(-5*j + 2 - 2).\nAnswer: -10*j**3 - 6490*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 8:09 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1 - -6) + 9 + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.1 + 8.99. Let j = d + 0.11. What is the closest to j in 0.4, -4, -0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 372350 + 24?\nAnswer: 372374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8293644.\nAnswer: 2, 3, 41, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**3 - 153984*x**2 - 592807602*x - 237098404 = 0. Calculate x.\nAnswer: -7699, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212, 205, 196, 185, 172, 157?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305230145 (base 6) to base 5.\nAnswer: 2323313013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-10) + (-403)\/5 + -1. Let f be 4\/(-15) + r\/(-135). Factor -5\/3*v**3 + 1\/3*v**4 + 8\/3*v - 4\/3 + 1\/3*v**5 - f*v**2.\nAnswer: (v - 1)**3*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1\/779, 1\/8, -3?\nAnswer: -1\/779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + (-33)\/(-9))\/(1\/3). Let p be g\/10 - 27\/(-5). Let j(c) = c**3 - c**2 - 5*c - 2. Let k be j(3). Solve -2*v - k = p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Suppose 0 = 3*h + 17 - y. Is 8 a factor of 0\/(-1) + (-96)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 11 = 4. Let r be (0 - -3)\/(0 + 1). Calculate the greatest common factor of r and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*r = 3, 3*r = -y + 6*r - 4. Let u be -5*-1*(-2)\/(-2). Sort -4, u, y in decreasing order.\nAnswer: u, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*395.9.\nAnswer: -7.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5132 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1006*u**4 - 883 wrt u?\nAnswer: -4024*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o + 1. What is c(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.48 * 4.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 1. Let q be g(1). Let p be 48\/(4\/q) + 4. What is the greatest common factor of p and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -2*s**7\/3 - s**6\/30 + 88*s**3\/3 - 39*s - 3. What is the second derivative of l(o) wrt o?\nAnswer: -560*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129.4 + 148. Let q = t - 18.9. What is the third smallest value in q, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14647 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11 - 5 - -2 - -3. Solve o + 9 = 5*p, -3*o = p - 0 + z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 252 + -4?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018 - -0.1100417275.\nAnswer: 0.1280417275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 80 = -5*d, 4*d + 21 + 39 = 3*z. Let y = z + 28. Suppose 3*f = -18 + y. Calculate the highest common divisor of f and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 590864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.3 in -0.8, 2, 5, 341?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*((-98)\/(-7))\/84*5?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 7. Let r = 2 - 3. Let s(b) be the third derivative of b**4\/24 + b**3\/6 + b**2. Let q(a) = 12*a + 5. Let z be q(0). Determine r*g(d) + z*s(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4\/2 + 2*a**3\/3 + 2*a**2 + 18. Find n, given that y(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/2211151 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607993 is divided by 1465.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 8:02 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6588, 24076, 52466, 91758?\nAnswer: 141952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:49 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1716 and -151\/3432.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:54 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r - 3. Let i(m) = -m + 8. Let d be i(6). What are the prime factors of c(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6595657ug to nanograms.\nAnswer: 659.5657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -197*j**2 - 8*j - 301. Let z(s) = -9*s. What is k(z(m))?\nAnswer: -15957*m**2 + 72*m - 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 + -54. Let k be f\/3*18\/15. Solve q - k = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51973 + -52074.221. Let t = 0.221 + g. Let r = t - -100.9999927. Round r to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60 + 240. Let w = -128 + o. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67850)\/(-3) + 3410\/(-930) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45286*m**2 - 8 - 2*m - 20 + 3*m - 33.\nAnswer: -45286*m**2 + m - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 + 276. Suppose v + 9 = i. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 11\/((-44)\/36) - (18 + -17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-8)*x)\/(x\/x**2)*(x**(1\/3))**(-15))**(2\/89) assuming x is positive.\nAnswer: x**(-20\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9*3\/2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by -4.\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/87 (b) 69.5 (c) 5 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -15.218, 0.18 in ascending order.\nAnswer: -15.218, -15, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 131 = -1903. Is u a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**4\/12 + v**3\/3 + 2*v**2 - 8*v. Let g be y(3). Let n(k) = 13*k**3. Give n(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let w(a) = a**3 - 8*a**2 - a - 10. Let f(h) = -3*t(h) + w(h). Is f(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2621 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0+0.10434\nAnswer: 0.10434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**5\/2 + 47*c**4\/6 - 6*c**3 + 2*c**2\/3 = 0.\nAnswer: 0, 2\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -5*13)\/((-19)\/38). Suppose -p*u = -115*u - 13793. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l - 16*l + 8*l - 32 - 55 - 40 in the form r + i*l and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k + 2. Let j(o) = -7*o - 5. Let a(s) = -2*j(s) - 5*z(s). List the prime factors of a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3005395, -6011014, -9016633, -12022252, -15027871?\nAnswer: -18033490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 20891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-eight fifths of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 1892\/176 - (1 + (-159)\/(-12))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -23*x - 204, 320*x + 304*x + r + 46 = 619*x + 2*r for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -2.21978613.\nAnswer: -3.21978613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141591 and 61053.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2) + 10\/((-20)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**5\/20 + 7*y**4\/12 + 5*y**3\/6 + 17*y**2\/2 - 15*y. Does 13 divide t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - 5*m**2 - 6*m - 2. Let t be p(-1). Sort 2, t, -1, -14 in descending order.\nAnswer: t, 2, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-24)\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1815 (b) 1\/8 (c) -2\/9 (d) -2.6 (e) -0.121\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528 - -387.\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 15*o - 334. Give t(-20).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183603499 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -188, -377, -566, -755?\n\"Answer: -189*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/12 - (-1107)\/348?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15885 and 163100120?\nAnswer: 1467901080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -13. Put 3, z, 2 in increasing order.\nAnswer: z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*g - 6, 2*g = -0*g. Suppose m*p + 6 = 30. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114687566 is divided by 1991.\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (109\/436)\/((-150)\/(-24))\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3)*x)\/x**(-6)*(x**0)**22)**20 assuming x is positive.\nAnswer: x**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -23, -19, -13, -5, 5?\n\"Answer: y**2 - y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((21\/(-9))\/7)\/(2\/(-534)). Let o = 94 - a. Find the third derivative of 27*w**2 + o*w**3 - 5*w**3 + 2*w**3 + 3*w**3 wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 - -3. Let s(r) = r**3 - 7*r**2 + 7*r + 12. Let p be s(3). Let h be (20\/(-15))\/((-1)\/p). What is the second biggest value in h, -2, t, 1\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 i when four letters picked without replacement from {m: 1, t: 1, i: 6, n: 6, s: 1, p: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34507987 divided by -5.\nAnswer: 34507987\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d + 11*d**2 - 17*d - 51*d - 13*d**2.\nAnswer: -2*d**2 - 53*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/25)\/k**4)**13\/((k**2*k)**45\/(k**7\/(k\/(k\/(k\/(k*k*k*k\/(k\/k**(-2\/3))*k)))*k))) assuming k is positive.\nAnswer: k**(-13361\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1816 or -223444?\nAnswer: -223444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14250, 14253, 14256, 14259?\n\"Answer: 3*k + 14247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6) - (-22)\/4. Suppose 0 = -d*p - 2*o + 195, 0 = -5*p + 3*o + 205 - 35. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2405?\nAnswer: 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**3 - 83*k**2 - 5*k + 85. Let n(s) = -67*s**3 - 1077*s**2 - 68*s + 1104. Let y(c) = -27*f(c) + 2*n(c). Let y(o) = 0. What is o?\nAnswer: -87, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1\/7, 1.2, 5, 0.4 in ascending order.\nAnswer: -18, -1\/7, 0.4, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5750 (base 8) in base 3?\nAnswer: 11011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 6:59 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*p + 43, -5*a - 32 = 4*p - 6*a. Suppose t + 2 = 3*k, 2*k + 2*k = 0. Sort p, t, 3 in descending order.\nAnswer: 3, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2875 rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5158268*k**2*r + 2*k*r - 7*r - 183959 wrt k?\nAnswer: 10316536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*h - 27 = 3*d + 490*h, 0 = -4*d - 90*h + 58 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 52506531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2. Let p(z) = 2*z - 2*z + 3*z**2 + 2*z**2. Calculate p(u(y)).\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 25*a**2. Let w(g) be the second derivative of g**4\/12 - 5*g - 1. Determine w(q(o)).\nAnswer: 625*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/31310 and 43\/279.\nAnswer: 281790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 204\/80)\/(66\/(-55))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0.1. Let i(w) = 0*w**2 + 4 + 6*w + 2 - 2 + w**2. Let r be i(-5). What is the biggest value in r, -7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -7*i**3\/3 + i**2\/2 + 4. Find the second derivative of u(h) wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477, -474, -469, -462?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2 - 7*c**2 - 18*c**5 + c**2 - 15*c**2 wrt c.\nAnswer: -1080*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 - 2*o**2 + 2*o - 1. Let g be l(1). Suppose -5*b = -2*i + 125, 3*i - i = g*b + 50. Let n be (-4)\/(-10) - (-85)\/b. Which is greater: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 5, c: 12}. What is prob of sequence cc?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27454 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: Differentiate -30238*m**4 + 4*m**3 - 2*m + 50 wrt m.\nAnswer: -120952*m**3 + 12*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 142*j - 1 + 131*j - 270*j.\nAnswer: -281*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 14*s**2 - 12*s - 6. Let o be w(13). Suppose -o*h - 8 = -3*h. Put h, -8, 4 in increasing order.\nAnswer: -8, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 6. Let j be 22\/6 - (-2)\/6. Let i be x(j). What is the remainder when 132\/i*(-60)\/18 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18915545 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*p + 17, 5*k = -2*p - 13 + 2. Let x be (2\/(-5))\/(k\/15). Solve -x = -3*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101130*p**5 - 101247*p**5 - 35*p**2 + 111*p**2 + 38*p wrt p?\nAnswer: -7020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1\/4994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/8)\/(o\/(o*o\/(o\/((o\/(o*o\/(o**(-4)*o*o)))\/o)))*o)*(o*o**(-1\/4))**(2\/63)*((o\/(o\/(o*o*o**(-1\/3)*o)*o))**(-3\/26))**43 assuming o is positive.\nAnswer: o**(-29201\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1295 and 259.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.32289 millennia in months?\nAnswer: 1035874.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -39, -5927*w - 4*t = -5919*w - 92 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -99. Let d = c - -84. Let h = -25 + d. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -17\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -315 * 22.\nAnswer: -6930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27085*j**4 + 2*j**3 - 3952*j**2 + 238930219*j wrt j?\nAnswer: 325020*j**2 + 12*j - 7904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-28)*(-84)\/(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 33*m**2 - 1. Suppose 2*p - 8 = 0, c - 2*c - 5*p = -19. Let n be l(c). Suppose 8 = 5*y - n. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1296 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:15 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -462? (a) -2\/5 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 10940 = 13*n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 584 + -225. Let d = v + 388. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 bigger than 1817\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)*q)**(-28)\/((q*q**(27\/5)\/q*q)\/q*q\/q**2) assuming q is positive.\nAnswer: q**(1938\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 10:47 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 195700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 8512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -456668, 0 in decreasing order.\nAnswer: 5, 1, 0, -456668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1171687 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y + 4. Suppose 0 = -5*m + 8 + 2. Solve w - y*w = -f + 7, m*w - 4*f = 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*b - 7 = -10, 2*q = 5*b - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 62106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4355, -4352, -4347, -4340?\nAnswer: -4331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 5, 4\/7, 589, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6685\/3 + -2229. Sort p, 2.81, 1\/6.\nAnswer: p, 1\/6, 2.81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 717491775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18248 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19036519*u*y**2 - 1717*y**2 + 1657*y with respect to u.\nAnswer: 19036519*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2. Suppose i - 29 = -2*t, 3*i = -o*t + 9 + 18. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {p: 1, t: 1, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 32 (c) 2\/35 (d) 0 (e) -2\/5 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1100) + 1.\nAnswer: -1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34790 divided by -3479\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (26 - -4 - 28 - (-1 - -4)) + 17\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4508\/245)\/((-48)\/(-60)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/24 - j**5\/60 + j**4\/24 + 5*j**3\/3 - j**2 + 78. What are the prime factors of i(6)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/50721 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + -44. Let d = 65 + c. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7198.67 rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + sqrt(637))**2 + 4) + (sqrt(117) + -5*sqrt(117)*1 + sqrt(117))\/(3*sqrt(36)).\nAnswer: -1290 + 111*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -47*s - 288. Let i be p(-6). Let y(m) = -32*m - 185. Let o be y(i). Solve 8*z - o*z = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-20)*j**17*(j\/(j**(-1\/10)\/j))\/j*j*j**10 assuming j is positive.\nAnswer: j**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.073 - 0.147. Let p = q - 0.18. Which is the fourth smallest value? (a) -3 (b) -3\/5 (c) p (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0082468 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1967\/(-1124))\/(14\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - t - 4*t)*(-t**2 + 3*t**2 + 0*t**2) - 2*t**3 + 3*t**3 + 0*t**3 + (t**2 + 3*t - 3*t)*(-2*t + 0*t + t) - 2*t**2 - 237*t**3 - 266*t**3 + 425*t**3.\nAnswer: -80*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/((-299)\/39))\/(1\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 94 + 4*l - 48 + 56. List the prime factors of b(0).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110110010100101000 (base 2) to base 13.\nAnswer: 356725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 69. Let d be a(18). Let w = d - -87. Solve -5*z = -w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hll. Give prob of picking 1 l and 1 h.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-16 - (5 + -17 + 16))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + c**2 + 4*c - 96. Is q(10) a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33756123037446.0820081 + 33756124593015. Let u = -1555569 + x. Let h = 0.082 + u. What is h rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63\/2 - 121\/3. Find the common denominator of d and 78*10\/4025*(-5)\/(-8).\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*x = -2627 + 21259 + 3350 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 15 = -21. What is the closest to 0.3 in -1, -1\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*i - 3*i**3 - 10076*i**4 - 10073*i**4 + 1 + 20145*i**4 to the form q*i**4 + k + z*i**2 + u*i**3 + v*i and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 7*q + 6. Let a be f(-6). Suppose a = g + 1. Let o = 21 - g. Solve 0*d = 5*d + o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*(12\/(-15))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 0.45 (b) 0.1 (c) -0.297 (d) -0.5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421281425 to the power of 1\/2, to the nearest integer?\nAnswer: 20525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.8 + -35.67. Let r = d - 0.13. Let l = 135 + -543\/4. Which is the nearest to 0? (a) -4 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1231*b**2 + 15*b - 15. List the prime factors of v(1).\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 344 - 216. Is z a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 y when three letters picked without replacement from {s: 4, h: 4, y: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(171)*5.\nAnswer: -75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -180859.25 to the nearest 1000.\nAnswer: -181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 = -w, -25 = 2*w + w - 4*s. Let p(n) = 2*n**2 + 19*n + 1. What is the tens digit of p(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*r**2 + 1 - 143*r**2 + 0.\nAnswer: -3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2171 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 + 1 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -73, -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, r: 1, d: 6, p: 1, j: 3, u: 6}. What is prob of picking 3 u?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 494, 3, 5, 0, -4, 4 in descending order.\nAnswer: 494, 5, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+2303\nAnswer: 2302.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let r = t - -55. Let o = r + -50. Calculate the highest common factor of 16 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwnwwnwwwn. Give prob of sequence nww.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/30 - 5*c**4\/24 + 7*c**3\/6 - 26981*c**2. Suppose 2*d + 5*o + 21 = 6, -d + 5*o = -30. Calculate p(d).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.5. Let t = 20.66 - -0.34. Let c = t + -26. What is the closest to 2\/11 in o, 3, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t**2 - 38*t**2 + 26*t**2 - 65 in the form b*t**2 + u*t + l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -20, -3\/133.\nAnswer: -20, -3\/133, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 150, 351, 638, 1011, 1470, 2015?\nAnswer: 2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -827*b + 2356 = -796*b. Let q(u) = -2*u**3 - 3*u**2 - 9*u. What is the remainder when q(-6) is divided by b?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 22*i - 13. Calculate x(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 42*h. Let z(r) = 197*r + 209. What is 5*m(g) - z(g)?\nAnswer: 13*g - 209","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 + -128. Suppose 7*j = 2*j, -5*a = n*j - 980. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.219, 1.51, -8, 4\/7, 2?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110.9999765 + 111. Round g to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 268 divided by 5\nAnswer: 268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/7, 0.26667 in decreasing order.\nAnswer: 2\/7, 0.26667, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 20. Suppose 5 = 2*m - 1. What is the lowest common multiple of 2 and w\/(-5 - (-9)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) - (1 - 2). Let f = 0.2 - -1.8. What is the nearest to f in l, -3\/4, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9761036 rounded to the nearest 1000?\nAnswer: 9761000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 3. What is l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v - 3*v + v)*(v - v + 2*v) - 5*v**2 + 4*v**2 + 2*v**2 - 2*v**2 + 0*v**2 - v**2 + (-1 + 1 + 2*v**2)*(-6 - 3 - 1))*(-3*v - 2*v + 4*v).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-200)\/(-15))\/(2\/9). What is the greatest common factor of d and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-6) - 48\/(-36). Let z(n) be the first derivative of -1\/3*n**3 + 0*n - 2 + 0*n**c. Let l(b) = -3*b**2. What is z(l(r))?\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 50. Let g = 1745 + -1030. Suppose -j*u + 431 = -g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2)*-2)**2 + sqrt(2) - -6*sqrt(8)\/sqrt(4)) + -1.\nAnswer: 7 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 555*f**2 - 693*f**2 + 1153*f**2 - 2 + 2*f to k + y*f + m*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 11:42 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 206007, 1648010, 5562021, 13184046, 25750091, 44496162, 70658265, 105472406?\n\"Answer: 206001*z**3 - 2*z**2 + 2*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 5*z**2 + 10*z + 12. Is d(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20578 - 475?\nAnswer: 20103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 659421, -5, 67?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n**2 + 7*n + 2. Let m(l) = 1 + 345*l - 113*l - 115*l - 114*l + 6*l**2. Give 7*m(q) - 4*r(q).\nAnswer: -2*q**2 - 7*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 1. Let y be v(0). Suppose t - y = -4*k - 6, 0 = 4*k + 8. Suppose -t*z - 45 = -6*z. Solve -s - z = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*b**3 - 4)*(-3*b**2 + b**2 + 4*b**2) + 14*b**5 - b**5 - 7*b**5.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4 - 77*k**2 - 266*k - 63173 wrt k.\nAnswer: 8*k**3 - 154*k - 266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -215.79 + -38331\nAnswer: -38546.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 1, v: 4}. Give prob of sequence pd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 150980 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4523107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -2*b, -5*r + r + 44 = -4*b. Let c be 1 + -11 + 15 - 20. Which is greater: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**7\/252 + k**6\/45 + k**5\/30 - 7*k. What is v in u(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 307241\/254 or 1211?\nAnswer: 1211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.031 - 30.031. Let w = -28 - s. Which is the closest to 3? (a) w (b) -1\/12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3680\/(1152\/36) - 29.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -545 + 145. Let k be (j\/(-6))\/((-4)\/12). Let m = -29 - k. What is the remainder when 40 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(2\/3)\/y)\/y)\/y)\/(y\/y**(-2\/41)))\/(y**(-3\/19)\/y**(-2\/9)))**(1\/49) assuming y is positive.\nAnswer: y**(-24163\/343539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -15*c + 27 + 32*c - 16*c. Determine z(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 79)*(-18)\/21. What is d rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(-1*(-3 + sqrt(1573))**2 - sqrt(1573))*2.\nAnswer: -3300*sqrt(13) + 94920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 786\/(-5)*20\/6. What is f rounded to the nearest 10?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + 5*f)*(-3 + 6 - 4)*(f - 1 + 1).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4534\/(-10) - (-12)\/30. Let n = o + 47567\/105. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6224245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2607 and 107\/111390.\nAnswer: 1225290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20722015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10885 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113 in 6, 11, -0.06, 2\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 17 = 5*c, 0*c = c + 3*n. Solve 3*o - 3*l = -c, 0*o + 4*l = -o - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 - -131. Which is the fourth smallest value? (a) k (b) 4 (c) -0.2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-3 - (-48)\/(-28)). Put 4, 0.1, -14, o in ascending order.\nAnswer: -14, o, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 356*k = 353*k + 20, 2*j - k - 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53298.399 days in weeks?\nAnswer: 7614.057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 7*g = -407. Suppose c = 34*d - 38*d + g, 5*c + 17 = -2*d. Factor 0 - 4\/5*t**5 - 8\/5*t**2 + 8\/5*t**d + 4\/5*t + 0*t**3.\nAnswer: -4*t*(t - 1)**3*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c + 4. Let d(y) = -y + 1. Let m(a) = 4*d(a) - k(a). Let g be m(7). Calculate the highest common divisor of g and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271093\/22 - -12318. Calculate the common denominator of w and 55\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -68, -13 in ascending order.\nAnswer: -68, -13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t - 3. Let s be ((-36)\/10)\/(21\/70). Let w be 0 + s\/(-9)*-3. Let j(z) = -3*z - 2. Give w*h(v) + 6*j(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 16 = 4*k, 5 = -2*k + 5*q - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (5 + -8)) + 1 - (-22 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4, 3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 - 5.43. Which is the closest to 11? (a) -0.2 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c - 455 = -227 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1345 + -1344. Which is the nearest to 1\/4? (a) x (b) 2\/7 (c) 1\/3 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.8? (a) 13 (b) -6 (c) -3 (d) -205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = k + q, -3*k + 2*q = 4. Is k*1141\/(-28) - 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/15)\/x)\/x**1*x**(-1\/3)*x**(-2\/7) assuming x is positive.\nAnswer: x**(-87\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217 - 209. What is the highest common divisor of 52 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:19 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279 + 279 + 122*c**2 - 111*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-70 - -73) + 863*3. Suppose 0 = 14*u - 23*u + n. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -14. Suppose 85 = 5*z + 2*m + c*m, 3*z = -2*m + 47. Suppose 0 = z*p - 13 - 13. Solve p*s + 4 = 0, s = -4*g + 2*g + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1582*q**5 + 395*q**2 wrt q?\nAnswer: 94920*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 u when four letters picked without replacement from {p: 4, u: 1, h: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 8:27 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -j - q, 7*q - 3*q + 196 = 4*j. What is the remainder when j is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44925999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 1:56 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540350 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.4309 tonnes?\nAnswer: 1430900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/120 - 11*c**5\/60 - 5*c**4\/6 - 13*c**3\/3 - 5*c**2 - 788*c - 1. Calculate s(-8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*p. Solve p = z + r, 3*z - 7*z = -r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 531 = -3*z + 962, z - 486 = 2*p. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:13 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1144 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o, -3*o + 30 = 3*k + 2*o. Suppose d - k = -4*d. Solve -3*x - d = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1008 - 423. Let n be y\/(-10) - 1\/(-4)*2. Let k = n + 5. Is k < -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2220110 (base 3) to base 9\nAnswer: -2813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4519*s - 19*s**5 + 56*s**5 + 39*s**2 - 26*s**5 - 22*s**5 wrt s?\nAnswer: -220*s**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64959527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -2)*(-3)\/(-6). Suppose r = 619*l - 625*l + 108. Calculate the remainder when 195 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 13 + 5. Find the third derivative of -9 + z*l**3 + 28*l**3 - 2 - 6*l**2 + 49*l**3 wrt l.\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 118a - 371d?\nAnswer: -2583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -28*i**2. Let a(k) = -17*k**2. Give a(g(h)).\nAnswer: -13328*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/72)\/5*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000266 rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - (-504)\/2 - (27 - 25).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*f + 2 + (-3*f + 3*f - 2*f)*(-3 + 0 + 4).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 25*u**3 + u**2 - 2*u + 1. Is 10 a factor of c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -78*y - 2. Let k be -5 - (5 + -9)*1. Let u be t(k). Which is bigger: 77 or u?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:34 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 9*y - 6. What is the remainder when 45 is divided by c(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - n = 10, -5*t + 0*n + 3*n + 27 = 0. Let v be 3062*1*(-5)\/(-2). Suppose -t*k + 25345 = -v. What is k rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4 = -5*u, -4*u + 2*g = -3*g - 23 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 5}. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 50 (c) 2 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 450794.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:48 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14\/g**(-1\/8))\/(g**(-10)\/(g*g**8)) assuming g is positive.\nAnswer: g**(265\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 113504.5 rounded to the nearest 100?\nAnswer: 113500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*d + 43 = 0, -3*z = 3*d - 15 - 0. Let j = 14 - z. Solve -5 = 2*h - j*m, -2*h + 5*h = m + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 586 - 251 - 441 - t**3.\nAnswer: -t**3 - 1285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 14*x - 115 = 0. What is the nearest to 1 in x, -672, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 l when four letters picked without replacement from lswwllwwtltlwdlswlwt.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 - -196.7. Let s = -42 - -66. Let j = -13 + s. Put 0.2, n, j, 1\/7 in ascending order.\nAnswer: n, 1\/7, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/114 and -121\/80.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 184 = -l, -2*l + 479 = -5*x + 114. What is the highest common factor of 722 and l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 17 + -11 - -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1903\/155 or 4\/291?\nAnswer: 4\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 3. Suppose -u = -0*u + s. Let b(g) = -5*g**2 - 2*g + 4. Let r(w) = 6*w**2 + 2*w - 4. Let y(z) = -5*b(z) - 4*r(z). Determine y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 + -2.6. Let c = 8.8 + q. Let t = c + -7.6. What is the second biggest value in 10, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nln when three letters picked without replacement from uuuohnlunooohn?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -384658*c**5 - 369*c**2 + 77*c.\nAnswer: -23079480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-84)\/(-8))\/(-7))\/(12\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(125) + -4).\nAnswer: -12 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7730.111 litres?\nAnswer: 7730111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(sqrt(896) - sqrt(56))\/sqrt(2))\/(sqrt(484) - (1*sqrt(484)*-6 - sqrt(484)) - 2*(sqrt(484) + (-1*sqrt(484) - sqrt(484)) - sqrt(484))).\nAnswer: 9*sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 18*z**2 + z - 21. What is h(18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2994, 24159, 81602, 193461, 377874, 652979, 1036914, 1547817?\nAnswer: 2203826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*q**5 - 8 + 8 + (3*q + 1 - 1)*(128*q**3 - 128*q**3 + 2*q - 2*q**4).\nAnswer: -19*q**5 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25012 + -24643. What is the greatest common factor of 999 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -413 - -413. Let f(d) = d - 1. Let w be f(2). Let m(v) = 3*v + 1. Let j be m(w). Solve 3*y + 2*n = -a*n - 2, y = -3*n + j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + q + 362, l - 5*q - 96 = -14. Suppose 0 = 2*x + 4*x - l. Calculate the remainder when 130 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33539 + -3721?\nAnswer: 29818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0 + 0 - 4*x + 1 - 4. Is b(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140835418 by -70417709.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 5*k**2 - 21. Let x be o(6). Suppose -3*z + 0*j + x = j, 0 = -4*z - j + 19. Solve z*u - 1 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -0.01 in decreasing order.\nAnswer: 0, -0.01, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -882 (base 11) to base 16\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 24392?\nAnswer: -133\/24392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4025 and 12.\nAnswer: 48300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 135*c - 3. What is s(1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2 + 10\/((-660)\/54)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 50 - 27)*(3*p + p - 5*p)*(8*p**3 - 4*p**3 - 3*p**3).\nAnswer: 102*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30416 is divided by 104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 divided by 5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.03296961 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3832 by -958.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 7.7. Let j = q + -7. Let v be 8\/(-14) + (-27)\/(-63). Sort v, j, -2\/15.\nAnswer: v, -2\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 586, 0.15, 0.62, -2\/11, 0.5?\nAnswer: 586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from googoggggggggogggogg. What is prob of sequence og?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u. Let x(w) be the second derivative of -1 + 20*w - 77\/6*w**3 + 0*w**2. What is c(x(b))?\nAnswer: -231*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - 3*q. Let i(g) = 5*g**2 + 4*g. Let t(l) = -3*i(l) - 4*p(l). Let u(w) = 5*w - 1. What is t(u(s))?\nAnswer: 25*s**2 - 10*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(-10)\/d*d**(-1) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4326812 minus -14?\nAnswer: -4326798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3113872910 rounded to the nearest 1000000?\nAnswer: -3114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487486 is divided by 504?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:48 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.41306186 - 0.243681.\nAnswer: 0.16938086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.119235 times 0.4\nAnswer: 0.047694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3*(-1)\/(-3))\/(148\/296). What is the fourth biggest value in 1.9, -2\/7, -3\/5, 0, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322166886.\nAnswer: 2, 3, 1039, 51679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*6)\/(-1*(sqrt(72) - sqrt(8))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -22*u**3 - 12*u**2. Let p(n) = -n**2. Give -k(h) + 12*p(h).\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/490 and -22\/245?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3409 + -3105. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001521 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -20, -1, 3, -515, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + -2 + 2 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = 0, -3*h - 4*f = -84. Suppose -3*c + 17 = -z - 20, -4*c + h = 4*z. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 182*j + 2717. Calculate h(-16).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30610*y**4 - 22807*y**2.\nAnswer: 734640*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j + 42. Suppose -23*v + 18*v = 10. Let r = j + v. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 567? (a) 451 (b) -163 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**3 + w**2 - 4*w - 2. Let i(u) = u**3 + u + 1. What is -4*i(r) - m(r)?\nAnswer: 2*r**3 - r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.165 + -0.065. Which is the biggest value? (a) i (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1443+0.297\nAnswer: 1443.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u**3 - 6*u**2 - 7*u + 4. Let g = 4 + -11. Let c(n) = 7*n**3 - 5*n**2 - 6*n + 4. Let a(y) = g*c(y) + 6*b(y). Determine a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 299 = d, d + 351 = -2*s + 28. Let a be d\/(-99) + 2\/(-11). Let b be (4\/(-8))\/(a\/18). Sort -1, b, -4.\nAnswer: -4, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5 = 7*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77022.87 millennia to years.\nAnswer: 77022870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.09, -5, 0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2750473 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (27\/(-3))\/3. Is 18 a factor of l\/(-27) + (-326)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56474926, -112949860, -169424794, -225899728?\n\"Answer: -56474934*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -192 - -369. Let i = g + -123. Let l be ((-2)\/(-12))\/(6\/i). Sort -2, l, 5 in ascending order.\nAnswer: -2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 41*q + 92. Let c be j(-43). Let z(u) be the first derivative of 0*u**3 - 3\/4*u**4 + c*u + 9\/2*u**2 + 9. Find l such that z(l) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a + 9. Let m be n(1). Let p be (-29)\/(0 - (-2 + m)). Is 28 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225518*y**6 + 3*y**4 + 75*y**2 - 26177*y wrt y?\nAnswer: -27062160*y**3 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1309545894 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(5*(sqrt(68)*-1)**2 + (-1*sqrt(68)*-1)**2)*-6.\nAnswer: -9788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3171 and -4.\nAnswer: 12684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -154, -310, -464, -616, -766?\n\"Answer: t**2 - 159*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 3*d**2 - 4*d - 1. Calculate z(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (82696\/(-14) - 0)\/((-26)\/91)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 2, u: 2, g: 3, o: 9}. Give prob of sequence gq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 307425. Let w(p) = 13*p. Calculate w(c(g)).\nAnswer: -26*g - 3996525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -143, 4, 9 in decreasing order.\nAnswer: 9, 4, 1, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 16*j**2 + 2*j - 5. Let c be g(8). Suppose 3*f = 5*w + 27, 0 = 3*f - w + c - 38. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by 260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 62*h**2. Let i(r) = -792*r. Calculate z(i(m)).\nAnswer: 38890368*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24 - 25)\/((-2)\/4). Let y be q - (5 - (2 + 4)) - 3. Solve -r + 4*s - 5 = 0, y = -5*s - 4 + 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1034303 (base 5) to base 13.\nAnswer: 82c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 94 - 166 = 0. Suppose 10 = -4*w + r. Suppose 0 = h - 0*h - 2*l - 15, 3*l + 10 = -h. Solve w*n - 1 = -h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1223 + 124505?\nAnswer: 125730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzuuzzzzzzuzzzz. Give prob of picking 3 z.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 219*b**5\/4 + 7*b**4\/12 + 241*b**3\/3 - 916*b + 1. What is the third derivative of h(w) wrt w?\nAnswer: 6570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 + 4. What is the second biggest value in 0.3, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -260, 1\/5, -2, 4 in increasing order.\nAnswer: -260, -2, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1)\/((-3)\/3). Let x be -3*(-10)\/(-3)*o. Suppose -x = -c + 12. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*v - 4*b, -v + 3*b + 14 = 4*b. Calculate the remainder when 66\/2 + 3 + -4 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -3\/4, -1\/251, 356, -0.7?\nAnswer: -1\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.36 + 1.4.\nAnswer: -27.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 28 = -4*p, -3*p - 7 - 8 = 0. Let x be 3\/(-255)*u*-5. What is the smallest value in -0.02, 2\/5, x?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11541 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -5*v**4\/12 - 8*v**3\/3 + 33*v**2. Let s = 6 - 9. Let a(d) = -2*d - 3. Suppose -2*q = -6*q + 64. What is q*a(l) + s*b(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 1)\/(2\/(-38)). Let v be l\/(-4) + 4\/8. Calculate the greatest common factor of v and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167359 - 38126. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*p - 28*p - 6*p + 12*p**2 - 174*p - 11*p**2 to the form h*p**2 + i*p + a and give i.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 + 6*u**2 - 20 + (-u + 6*u - 3*u)*(5 - 5 - u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 8. Let r = -1.6 + 1.53. Let z = 0.93 - r. Sort s, z, 3 in descending order.\nAnswer: s, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/(sqrt(108)*-2) + 0 + ((4*(sqrt(216) + sqrt(24)))\/sqrt(8) - (sqrt(6)\/sqrt(2)*-3 + sqrt(300) + 0)))**2.\nAnswer: 3675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 1, o: 1, p: 2}. What is prob of sequence rpp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111264 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*n + 23*n = -2938545. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13682793*c**4 + 7669731 wrt c?\nAnswer: 54731172*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**12\/(f**(-2\/7))**(1\/3)*(f\/(f**(-4)\/f)*(f**(-2\/39)\/f)\/f)**(-48) assuming f is positive.\nAnswer: f**(-48442\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-6))\/4*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*((-32)\/(-6) - 3). Suppose 2*c + 4*v = 0, 2*v + 2 = 3*c + u*v. 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 remainder when 2112282 is divided by 907?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z - 1533. Give d(61).\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**4 + 4*a**3*w - 5*a**3 - 8*w + 9 wrt a?\nAnswer: 16*a**3 + 12*a**2*w - 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 2*z = 10*z. Differentiate z*c - 6 - 20*c**2 + 0*c + 21*c**2 with respect to c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 686.0873 + -0.0873. Let l = 686.00706 - q. Round l to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2315153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.93 + -9.02. Which is the second biggest value? (a) 2\/7 (b) 2 (c) 0.1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*b + 9 = -5*b, -3*b = -i - 3. Suppose -i*c = -n - c - 5, 2*c = 2. Suppose -d - d = -3*g - 409, 2*d - 5*g - 411 = n. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 8 + 5 - 80)*(2*s + 2*s - s - 3 + s + 3 - 1 + 2*s + 1 + (2*s + 4 - 4)*(-6 + 3 + 4) + 0*s + 4*s - s) to the form l*s + j and give l.\nAnswer: -1001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 19 = -4*a, 3*a - 2*a = -3*z + 13. Suppose 4*i - 8 = 12. Suppose i*t = 2*t + 6. Solve t*s - 8 = -4*m + z*m, 5*m = -s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 110 (b) -111 (c) -4\/7 (d) -0.56 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**0*x\/x**(2\/3)*x*((x*x**(-1\/3))\/x)**(-22)*(x\/x**(-1))**33\/(x**(-2))**(1\/10) assuming x is positive.\nAnswer: x**(1138\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrr when three letters picked without replacement from vrvvrvr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.2. Let l = -1744\/3 + 5134\/9. Let a = l + 11. Sort a, -1\/6, p in decreasing order.\nAnswer: a, p, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, h: 13}. Give prob of sequence zhhh.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -33. Calculate the greatest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -j + 14, -48*m = -50*m + 2*j + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.24. What is k rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8541\/108186)\/(2*3\/(-16))\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33594, -67479, -101364, -135249?\nAnswer: -169134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/6, -0.04, 0.9, 0.1 in descending order.\nAnswer: 0.9, 0.5, 1\/6, 0.1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*w - 0*w. Let i = w + -2. Solve 4*v**2 - 7*v**4 + 4*v**4 + 6*v + 5*v**i = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 10*u**2 + 10*u**2 + 10*u**2 - 47*u**2 + 9*u**2. Let s(c) be the first derivative of 3*c**2 - 1. Give s(p(o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 7520?\nAnswer: -7537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(2736))**2 + (sqrt(2736) - ((sqrt(2736) - ((sqrt(2736) + 0)**2 + sqrt(2736))) + -2 + sqrt(2736))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -115, -239, -403, -601, -827, -1075, -1339?\n\"Answer: w**3 - 29*w**2 + 2*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 112 + -46 - -15.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*g**3 - 222795*g**2 - 2 - 222822*g**2 + 445658*g**2 as v*g + h*g**3 + i + j*g**2 and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, n: 8}. What is prob of picking 2 n and 2 c?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2881 - 3063*y + 2154*y - 2939*y wrt y.\nAnswer: -3848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2761876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 8)*(36\/112 + 250\/(-70) + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 19*s**2 - 2*s. Does 33 divide k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 6)\/(-1 - 14\/(-8)). Let c be 83\/(4*(-1)\/a). Suppose 149 = 4*k - c. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90059 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**25\/f)\/f)\/f)**(3\/17) assuming f is positive.\nAnswer: f**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46\/5, -79, 13\/7?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let v = -27 + 19. Let w be l(v). Solve 0*x + 4*x = 3*t - 14, 5*x + w = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -845488 (base 9) to base 7.\nAnswer: -4162361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*u - 0*u. Let c = 9 + u. Let x be 2\/(-5)*c\/3. Is x at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*h - 2*h. Let k(a) = 3*a**3 + 3*a**2 - 10*a + 11. Let x(t) = t**3 + 2*t**2 - 5*t + 5. Let z(c) = h*k(c) - 7*x(c). Is z(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2321332 (base 4) to base 3.\nAnswer: 121022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 575096189, 1150192378, 1725288567, 2300384756?\n\"Answer: 575096189*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*g*s + 923*c**3*g + 75*c**2*g*s + 2*c*g*s - g*s wrt c.\nAnswer: -12*g*s + 5538*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3 - 4. Let i = p + -0.2. Let f = -0.38 + -0.02. What is the closest to i in 0, 5, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/6, -4, 337, -2 in decreasing order.\nAnswer: 337, -1\/6, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**3 - 1443*f**2 + 722*f**2 + 721*f**2.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 477543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.853 - 0.247. Let w = 14 + b. What is the nearest to w in -2, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*u + 2989 = -103*u - 2989 + 2949 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3200 by -400.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*0\/2. Suppose v = -3*a + 5*a + f, -3*f = 6. Let w(i) = 3*i**3 + i - 1. Let k be w(a). Solve -4*b - k*u = 19, 2*u + 4 = -2*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 124288555 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + 0.8. Let u(v) = 2*v + 1. Let y be u(0). What is the nearest to y in g, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 197, 190, 167, 122, 49?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -2381\/137 = -30.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 11:21 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -1\/12*a**3 + 1\/40*a**5 - 6*a + 0 + 0*a**2 + 0*a**4. Find s, given that v(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-340)\/(-75))\/(-17))\/(-4)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3 + 4 = -i, -f + 5*i = -5. Let c(l) = 6*l**2 + f*l + 2477 - l**3 - 2470 + 0*l. Give c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 w, and 1 u when four letters picked without replacement from {g: 1, f: 4, w: 1, u: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0) + (-6)\/(-2). Let i(r) = -4*r - 162*r**2 + 319*r**2 - 155*r**2 - 2. Determine i(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -14a?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-18)*(1 + 2). Let j be -3 - (-295 + (-6)\/i). Calculate the remainder when 43 is divided by 1\/4 - j\/(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s - 316 = 123 - 10 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/565 and -25\/64.\nAnswer: 36160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/(-147)*6\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010031 to five decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 4*z + 3*v, -2*z - 1299*v + 1297*v = 24 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 15\/(-6))*-6. Suppose -6 = -5*l + 4*c, c - 28 = 4*l + 6*c. Let p be (0*m\/(-6))\/l. Solve p = -2*f - 0 + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.2781 rounded to two decimal places?\nAnswer: -11.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 30*t**2 - 2*t - 63. Calculate i(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - b = 2*b + 31, 0 = 5*s + 4*b - 62. Suppose 5*o = 0, 7*z - 2*z + 3*o + s = 0. Let l be 4\/1 - 0\/z. Which is bigger: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 43*x**2 + 13*x + 8. Does 15 divide f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3356513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -744 divided by -186.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 6*d - 5. Let b be i(5). Put -3, b, 2 in descending order.\nAnswer: 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -22*t - 295. What is the remainder when 491 is divided by j(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 3*y**2 - 3*y - 4. Let q(m) = -6*m**3 - 13*m**2 - 15*m - 21. Determine -11*b(s) + 2*q(s).\nAnswer: -s**3 + 7*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -1833*c**3\/2 + 32*c**2 + 217*c. Is q(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 12) to base 4\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -289 + 3177\/11. Let y = 0.35 - -0.05. Put y, u, -2 in decreasing order.\nAnswer: y, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by -36\nAnswer: -94\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**5 - 35*j**4 + 75*j**3 - 25*j**2 - 80*j + 60 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2799971.\nAnswer: 1193, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2501096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223693\/176202 - 2\/6777. Let r = -3622\/3 + 50903\/42. Find the common denominator of s and r.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*76671.\nAnswer: 613368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1161, -2599, 1\/4, -2?\nAnswer: -2599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-5)\/35 - 7\/(-98)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7862.\nAnswer: 2, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97 and 37.\nAnswer: 3589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 559 and 576 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1856*k + 259*k + 333*k = 3194*k - 298686 for k.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*-2 - -62. Suppose -5*c + 5*k + 40 = 0, -k + i + 3 = 5*c. What is the remainder when 34 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/(-5)*(3111\/610)\/17?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-10)*20\/(-28)*20\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177197 is divided by 281.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqcqqkqjq. Give prob of picking 1 j and 3 q.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:34 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-24)\/9))\/((-90)\/80).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, s: 2, o: 4, a: 1, k: 2}. Give prob of picking 1 s and 1 a.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 828*p**4*r - 1563*p**2*r wrt p?\nAnswer: 19872*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 20 = 1162. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 16*q**2 + 0*q - 4*q in the form j*q + v + w*q**2 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -7 + 63. Suppose 29*m = m + h. Let z(u) = -3*u**2 + 3*u + 4. Let k(n) = -2*n**2 + n + 2. Determine m*z(p) - 5*k(p).\nAnswer: 4*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1358 - -636. Let s = 703 + v. Suppose -12 = -4*x + 2*g, 4*x - x + g = 4. Sort -0.2, x, 5, s in decreasing order.\nAnswer: 5, x, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50151 + -50410.83. Let l = z + -1.17. Let y = l + 243.9. What is y rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26399 is divided by 150.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-7) - ((-348489)\/(-420))\/(-9). Let a = -369\/4 + n. What is the nearest to 2\/5 in -5, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 16. Let r(i) = -7*i - 133. Let q be r(-25). Let s be q*(-4 + 90\/21). What is the highest common factor of h and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -5, -1, 5, 8, 2 in ascending order.\nAnswer: -5, -1, 2, 5, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2299))**2 + sqrt(19) + -1 + sqrt(19) + -1.\nAnswer: 2*sqrt(19) + 20689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*d + 203, 2*d - 200 + 4 = -4*q. Solve d*z - 2*n - 4 = 114*z, -3*z + n - 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 2*l**2 + 8*l + 2. Let q be u(-4). Let t be 1 + (-6)\/q - (-9)\/3. Solve -t - 1 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from oioooaaoooiiaoai.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3023676922 to the nearest integer?\nAnswer: 54988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 395.74 + -396. Let h = t - -0.26. Which is the closest to h? (a) -3\/7 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1))**(-2\/77)\/(t*t**3\/t*t*(((t*t**(-2\/7)\/t)\/t)\/t)\/t))**(-20))**47 assuming t is positive.\nAnswer: t**(49820\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -318653.911 - -318688.91099345. Let t = z + -35. Round t to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3531 and 1284?\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120302 - 11?\nAnswer: 120241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116803?\nAnswer: 116803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-55) - 32\/(-30)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/3 + 7*a**2\/2 - 19*a. Let u(j) = -7*j**2 + 13. Give -11*h(i) + 6*u(i).\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17240044 is divided by 1585?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 15*g - 1\/3*g**3 + 20 + 3\/2*g**2. Let d be k(5). Solve -4*t - w = d, 2*w = 4*t + 6*w + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25592 and 4113?\nAnswer: 230328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -20*i**5 - 2413140*i**4 - 72788145025*i**3 + 145588355950*i**2 + 72788145045*i - 145585942810 = 0.\nAnswer: -120659\/2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 26. Let k be -3*2*(-2)\/q. Suppose 0 = -4*d - 4 - 0. Which is greater: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t. Let m(n) = -4 - 5 + 5 + 5. Calculate -m(h) + r(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-3)\/(-1) - -79. Let z be (6\/(-10))\/((-15)\/p). Solve 0 = z*t + 19 - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6266 in -4, 0.3, 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36243*v - 4265*v + 4189118 = 0 for v.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1 + -3.6. Let h = 28 + -33. Put q, -3\/13, h in decreasing order.\nAnswer: q, -3\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + z. Give y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 2:46 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181\/3 + 61. Let k = 513 - 514. What is the closest to k in r, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1729*a**2 - a + 1. Let w be p(2). Let d = w - 691491\/100. Let v = 3637\/700 + d. Find the common denominator of v and 15\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 0*g - 378 = 0 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 5*m**2 + m**2)*(-m - 2*m + 4*m) + ((-4 + 2 + 0)*(-6*m + 2*m + 3*m) - 6 + 23*m - 3 + 11)*(-6*m**2 + 11*m**2 + 6*m**2).\nAnswer: 273*m**3 + 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syyfo. Give prob of picking 1 f and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -66141747352.\nAnswer: -66141747352.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/6 (b) -1\/11 (c) -129 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 349500 rounded to the nearest 1000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16661 or -249926\/15?\nAnswer: -249926\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1736 and 8680?\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5326 (base 7) to base 8.\nAnswer: -3532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*r + 19, -m + 5*r - 9 = 13. Let i be 26\/(-7) - (378\/(-49) + 8). Let s(g) = g**2 - 6*g + 2. Let k be s(6). Put m, i, k in increasing order.\nAnswer: i, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 7*r - 6. Let v be l(-4). Let y = -5 + v. Let c = 578\/35 + -110\/7. What is the closest to y in 3, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 95*x - 37*x + 2977*x**2 - 34*x - 35 - 38*x. Suppose -6*d + 3*d - 45 = 0. Let b be s(d). What is b rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.088 - -26.812. Let z = 26 - v. Sort 0, 2\/7, z.\nAnswer: z, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60759, 242984, 546693, 971892, 1518587, 2186784, 2976489?\n\"Answer: o**3 + 60736*o**2 + 10*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*q. Let j(p) = -p**3 + p**2 + q*p**3 + 5*p**3. Suppose 0 = 2*t + 3*t + 5. Give j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -3*k**5\/140 - 2*k**4\/21 + 10*k**3\/21 + 8*k**2\/7 + 3*k - 25. What is f in o(f) = 0?\nAnswer: -4, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -362, 1, 6 in descending order.\nAnswer: 6, 1, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 308?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 2*q**2 + 2*q)*((-q + 3*q - q)*(-6 + 4 + 3) + 4*q - 2*q - 4*q).\nAnswer: -2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, o: 9}. Give prob of picking 3 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/2 (b) 0 (c) 20 (d) -5 (e) 2 (f) 4 (g) -148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-4)\/(-2)))\/((4620\/(-900))\/77)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -67907570.4 rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 132344930, 264689862, 397034794, 529379726?\n\"Answer: 132344932*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198375657.\nAnswer: 3, 139, 475721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 3453556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1053)\/91 + (6 - -6). What is the third biggest value in 3\/4, u, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (126\/(-30) + (-2)\/(-10))\/(-2). Suppose 6*s - 87 = s - w, 3*s = -h*w + 48. Is 3490\/(-1)*(-9)\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -152076 - 3?\nAnswer: -152101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {o: 1, q: 1, h: 1, v: 2, u: 1, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3879 - 3893.885. Let f = i + 14.884993307. What is f rounded to 7 dps?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*q + 5*i = 715*q + 52, -4*q - 5*i = -104 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -31200421?\nAnswer: -31200413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -183. Is (-33994)\/(-12) - 23\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.51\nAnswer: 0.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 240\/23 (b) -2\/93 (c) -2 (d) -15 (e) 2\/13 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30 - 31)\/(-3 - (-14)\/8))\/((-293)\/46880)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12980160 by 649008.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6880, -13773, -20658, -27535, -34404, -41265?\nAnswer: -48118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1063 + -63781\/60. Let i = g + 31\/60. What is f in 1\/2*f + 1\/2*f**2 - 1\/2*f**3 - i = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7819*k**3 - 7818*k**3 + 15639*k**3 - 2*k**2 + 2*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/12 + 57\/12. Let x = -12 - -16. Solve -x*n = -c*p - 12, 5*p - p = n + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. What is the nearest to 2\/9 in 3\/2, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a factor of 569891143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 2*y - y**2 + y**2)*(-y**2 + 2*y**2 - 3*y**2) + 5*y**4 + 2*y**4 - 4*y**4 + (-y + 3*y - 4*y)*(y**3 - y**3 - y**3).\nAnswer: 11*y**4 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 18 + -39 + 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/7 - (7 - 6). What is the closest to 0 in -1\/13, s, 4?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 + 7775*u + 2623500 = 0. What is u?\nAnswer: -1060, -495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/648 and (-12)\/(-216) + (-3)\/8?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*c + 4*x, -2*c + 6*c = -2*x + 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4113 is divided by 3978?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c - 31 + 3*c + 5 - 6*c - 183*c**2 wrt c?\nAnswer: -366*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-51)\/(-153)*(-9)\/28?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172976 is divided by 155.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2177 + 1255. Let l be d\/(-392) + 6 + 3. Do 0 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5498 divided by 227325.\nAnswer: -5498\/227325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 32.9.\nAnswer: 131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 59*r + 2 + (-3 + 3 - r)*(3 - 6 + 1) + r + r - r + 2057 + 14*r - 2057.\nAnswer: 76*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -5. Let a = 3 + b. Suppose -41 = -a*g + g. What is g rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + 2*m + 3*q - 148, -11*m + 38*q - 1913 = -6*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*n + 113. What is the tens digit of (1*n)\/(3\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 133043.1 and 0.08.\nAnswer: 133043.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7861649*q**4 + 118*q**2 + 197*q - 7?\nAnswer: -188679576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*z = 3, -z = 4*y + 25. Let j(a) = -a**3 - 6*a**2 + 8*a + 1. Determine j(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53105 and 430?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398442 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1457107200 divided by -4800.\nAnswer: -303564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -14*j - 23. Let u = -483 + 481. Let w be s(u). Let y(k) = -k**2 + k + 6. What is y(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 + 128. Let k(m) = 2*m + 1. Let f be k(4). Calculate the greatest common factor of f and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a factor of 314305143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8258639 minutes in milliseconds?\nAnswer: 49551.834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17698 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 11*v**2 + 12*v + 14. Let o be i(-12). Suppose 6*a = 4 + o. Suppose 2\/3*p**2 + 0 - 2\/3*p**a + 0*p = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 4:05 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = f - 1, 0 = -5*w - f + 6*f - 5. Let p be (1 - w)*0 + 0. Let t(m) = -m - 1. Let l(s) = -5*s. Let y(q) = l(q) - 6*t(q). What is y(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2253 + 275 - 2*l - 406.\nAnswer: -2*l + 2122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 52196*(-4)\/14*(882\/48)\/(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3495 = -337*r - 6278 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwwewmwwmmemmw. Give prob of sequence em.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -25*m + 3. Let y be s(2). List the prime factors of 1\/1 - (y + 5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 + 7*m**2 - 6*m + 1. Let p(n) = -n**3 - n**2 + n. Suppose -36 = 1276*y - 1270*y. Give y*p(l) - i(l).\nAnswer: l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 583 and 583 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4111682 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/5, -4\/7, -16, 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 764 + -508. Suppose -c - 3*f + a = -4*f, -4*f - 773 = -3*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -28\/9 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3179 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.18 + 13. Let r = 1.28 + u. Which is smaller: r or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-2572)\/(-72) - (-1024)\/(-1152). Solve 0 = -14*q - y + 156 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*o - 4*u + 3*u, 1 = o + 3*u. Which is the nearest to 0? (a) 5 (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**2 - 4*d + 4. Let t be r(1). Solve t*s = -s + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.56778 rounded to the nearest integer?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 270 = -7*o. Let x = 59 - o. Suppose -5*u - 9966 = -2*a - 2*a, -2*a + x*u + 4988 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424.14 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -81?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 1. Let c(j) = -5*j - 1. Let q = -41 - -45. Calculate q*h(i) + 5*c(i).\nAnswer: -5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-2)*(-96)\/216*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 152*f + 3. Let s(l) = -24*l**2 - 16*l**2 + 81*l**2 - 12*l**2 - 21*l**2. Determine a(s(o)).\nAnswer: 1216*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 9*p - 9. Let j be b(-7). Suppose -10 + 2 = o + 2*r, -j*o - 16 = 4*r. Suppose 7*v - 3*v = o. Is -2\/13 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 3*y - 236 = 0, -59748*y = 5*n - 59744*y - 86 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213212103033230 + 2?\nAnswer: -213212103033222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 123. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**5)**(1\/5))**2)**(-4\/15) assuming b is positive.\nAnswer: b**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/z*z*z)**(2\/63)*(((z*z**(-3\/8))\/z)\/z*z)\/(z**(2\/29)\/z) assuming z is positive.\nAnswer: z**(10447\/14616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*h - 12 = -7, 0 = -2*n + 3*h + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 43*c**2 - 5840*c - 27869. Give p(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -72, -86, -102, -120?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**3*o**3 + 18*g**3*o*v**3 - 3*g**3*v**3 + 4*g**2*o**3*v**2 + o**3*v**3 + 42*o**3 wrt g?\nAnswer: 30*o**3 + 108*o*v**3 - 18*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232324203.\nAnswer: 3, 1489, 52009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 4. Let m be (-3 - -2)*(v - -3). Suppose -i = 2*l - 840004, m*l - i = i + 1259992. What is l rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + 16 + -29\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-4))\/(3 - 55\/20). Let m be ((-45)\/(-12))\/((-2)\/16). Let r = v - m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*z**2 - 86*z**2 - 218*z**2 - 62*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -4. Let m be -5*3\/(30\/(-4)). Suppose 5*z - j = -11, 3*j = 6*j + 12. Sort c, m, z in decreasing order.\nAnswer: m, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -3\/32, -0.5, 2\/7, -2\/5, 746, -5?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = -4*b + 3, -2*t + 3*b = 4. Which is smaller: t or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 988.\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -16.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -2\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 44950\/1860 + 10\/12\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 7:26 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 139. Suppose 5*p - g = 222. Is 16 a factor of (-1)\/(-2*2\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 51 + 51. Let g(y) = 20*y**2 - 3*y - 3. Let m(s) = -260*s**2 + 40*s + 40. Let v(t) = 40*g(t) + 3*m(t). Calculate v(r(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*l - 21*l + 228*l + 117*l.\nAnswer: 449*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -226*g - 3. Let f(k) = 225*k + 2. Let u(n) = -5*f(n) - 4*x(n). Is u(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 3*g**2 + 2*g - 1. Let q be v(-4). Let a = -5 - -7. Suppose -d - a = -2*d. Solve 0 = -o - d*o + m + 19, -3*o - 2*m = -q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -34. Let g(b) = -b**3 - b + 5. Let h be g(0). Suppose 0 = d - h*d + 160. What is the highest common factor of y and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.809 - -0.709. Let z = 0.2 - -0.3. What is the closest to -3 in r, 4, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Suppose o = a*r - 17, 5*o - 2 = 2*r + 4. Let q = r + -4. Put 2, q, 5 in increasing order.\nAnswer: 2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356707669 to the power of 1\/2, to the nearest integer?\nAnswer: 18887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -1, 228041 in increasing order.\nAnswer: -92, -1, 228041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvvxfxvxfxx. Give prob of picking 1 f and 1 x.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 = -0*d - 3*d, 4*d - 20 = -2*m. Let s(g) = -13*g**2 - 5*g - 5. Let r(i) = 32*i**2 + 12*i + 12. What is d*r(f) + 12*s(f)?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5392 and 32632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.227 times -50?\nAnswer: -11.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*p = 128*p + 12. Let i(s) be the first derivative of 0*s**p + 0*s - 5 - s**4 - 4\/3*s**3. What is the third derivative of i(j) wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttuuffftfut. Give prob of picking 2 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3*p = -6, 46251*s - 2*p = 46247*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52521 - -1222?\nAnswer: 54043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(2\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 4. Let w be m(-3). Let s be (-3 + 4)\/(0 - -1). Factor 6*z**2 - s + 2*z**3 - 6 - w.\nAnswer: 2*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - 100?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z - 73. Suppose j = -j - 38. What is the remainder when 239 is divided by v(j)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122002120121211 (base 3) to base 9\nAnswer: -18076554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504941.\nAnswer: 73, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -96159.23 to the nearest one thousand.\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -18) + -19 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26047580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 47. Let r be d(11). What is the tens digit of ((-1812)\/(-3))\/(r\/(-6)*-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2311\/132 + -25\/33. Find the common denominator of d and 2 + -1 + (-17)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 5*d - 4*s, 2*s + 3 = 3*d + 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 148*k**2 + 115*k - 233. Give n(2).\nAnswer: 589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-476146)\/(-46 - -24) + 2*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t - 2. Let r(b) = -2*b - 41. Let v be r(-17). Let h(d) = -9*d + 3. Give v*a(y) - 3*h(y).\nAnswer: -y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in 1\/7, 0.4, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 15) in base 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c7b05 (base 13) to base 3.\nAnswer: 1101011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*r + 32*r - 216 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 10*r - 170 = 0. Calculate the remainder when r is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 3*m**2 - 5*m - 4. Let v be u(-2). Let a(q) be the first derivative of 3\/2*q**v + 4*q + 1. Differentiate a(k) wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*x - 2 = 0, x + 148 - 142 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (31 + -4) - (65 - 16)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*t - 0*t - 92, 0 = 2*f - 3*t - 87. Suppose -f*w - 4 = -32*w. Which is smaller: -1\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*c - 8, -4 = 3*p - 0*p - 4*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rikk when four letters picked without replacement from rikkxririr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 11\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 152867497?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 433260 and 1234791.\nAnswer: 24695820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45993, 45999, 46007, 46017?\nAnswer: 46029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15 = -2*x, -5*x + 125 = 4*u. Suppose 0 = -27*p + u*p. Let n = 3 + -1. Solve v + n - 3 = p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c**2 + 12. Suppose -2*f + 11 = -3*w + 8, 4*f + 3 = -3*w. Give b(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/45 + 6\/(-30)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.79 + -38.27. Let n = c + 30. Let x = -0.5200046 + n. What is x rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -83, -172, -269, -380, -511?\n\"Answer: -l**3 + 2*l**2 - 88*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23784*m + 0 + 0 + 11641*m + 13274*m.\nAnswer: 1131*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -18. Suppose 10 = 3*m + 4. Suppose m*f - 9 = 5*x, -2*f + x + 33 = f. What is the smallest common multiple of f and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 + 106 - 56)*(2 - 4 + 0)*(-2*v - 3 + 3) in the form p*v + q and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 6:05 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 13594471.\nAnswer: 13594472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153*278\/3275118*-7*2\/(-2).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-304164)\/7455*(5\/3)\/1.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3180246.\nAnswer: 2, 3, 530041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -5, -2, 25, 2 in ascending order.\nAnswer: -5, -2, 2, 25, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5858332 to the power of 1\/2, to the nearest integer?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, p: 1, g: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 4:07 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26700, 53455, 80258, 107115, 134032?\n\"Answer: s**3 + 18*s**2 + 26694*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.46 * -1160.\nAnswer: 42293.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9949 divided by 655?\nAnswer: 9949\/655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7986 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 263 - 260. Factor 14\/5*g**r - 38\/5*g**2 - 12\/5*g + 0.\nAnswer: 2*g*(g - 3)*(7*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9867956233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.0632 - -0.0092. Let u = 3 + w. Let l = u - 4.546. Round l to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/18)\/((-21)\/9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6381 - -27262. Suppose 1146 = -5*u + r. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 10897, -2, 4, 2\/11, -3\/5, 9, 0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6 and -3 - 11\/(-4) - (-34)\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1253 divided by -179\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 3*r, -80*r + 84*r + 5*c - 28 = 0. Let v(h) = 4*h**3 - 2*h**2 - 4*h + 7. Give v(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8253*y**2 - 18264*y + 3516.\nAnswer: 3*(y - 2)*(2751*y - 586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(39)\/((sqrt(27)*-2)\/sqrt(9)) - ((-6*sqrt(325) - sqrt(13))**2 + -2*(-1 + sqrt(13) + sqrt(13))).\nAnswer: -12499 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 5:06 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1805643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 + 1639*m - 36349. Calculate c(523).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.5 (c) -2\/85 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 0.08 (c) 81 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31620 (b) -27 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -395244 divided by 1?\nAnswer: -395244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssqsqqssssqsssssqs. Give prob of picking 2 s and 2 q.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*x. Suppose h - 3*a - 349 = -x*h, 0 = -h + 5*a + 100. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131\/920 - -2\/115. Which is the fourth biggest value? (a) -1\/6 (b) -3 (c) -0.4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 44, 88, 170, 302, 496, 764, 1118?\n\"Answer: 2*n**3 + n**2 + n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1370 + 88*s - 2339 + 1412. Determine b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 - v + 3. Let l be g(0). Let j be l\/5 - 1147\/(-5). Let u = j + -153. Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 19, 8 in decreasing order.\nAnswer: 77, 19, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from ewewweee.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, z: 8}. Give prob of picking 3 p.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661190?\nAnswer: 2, 5, 37, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12631 smaller than 12346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 34*b - 10. Let g be p(17). Calculate the common denominator of -51\/20 and ((-888)\/(-88) + 2)*(-1)\/g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1243673276*q**2. Let i(r) = r. Give i(l(d)).\nAnswer: 1243673276*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1719 + -975. Suppose 0 = -4*g - 3*x + 737, -4*g + t = x - 5*x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 643, 1286, 1929, 2572, 3215, 3858?\n\"Answer: 643*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/90 and 108\/16 - 7 - (-21)\/(-108).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -103ee + -6b3?\nAnswer: -10aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85263697 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 0*y + 10\/27*y**3 + 2\/9*y**2 + 2\/45*y**5 + 2\/9*y**4 - 3. Factor b(w).\nAnswer: 2*w*(w + 1)**2*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 1\/2 (c) 3 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:42 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 2462522930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/351 and -127\/272556.\nAnswer: 10629684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0 - 15) + 4 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Let k = -2 - -8. Suppose r + k = d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*j - j. Let m(c) = -2*c + 6. Let x be m(j). Let i = x + 2. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**3\/6 - 3*w**2 + 92*w. Calculate b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 9*h - 5 = 0. Suppose h*s = 10, 3*s - s = 5*g + 24. Let j(o) = -o**2 - o + 5. Calculate j(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/37 and 13\/11618.\nAnswer: 11618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(3\/8))\/(g*g\/(g*g\/(g\/g**(2\/11))*g))*g**(-3\/2)\/g**(2\/3))**(-40))**(6\/7) assuming g is positive.\nAnswer: g**(230\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 + -71. Suppose 0 = 7*x - 3*x + 2*h - v, 0 = 3*x + 2*h - 80. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5*h + 93760 = 93742, -12*h = 2*v + 52 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/44)\/(15*(-16)\/(-1280)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (34 - 2 - 18).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.946 + -0.354. Round a to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x - 256. Suppose -i - 70 = -2*t, 93 = 5*t - i - 79. Let g = t - x. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233226 is divided by 87.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Suppose 0*y + 2*y = 4. Suppose -y*l = -k*l + 1800. Round l to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 11*g - 1. What is n(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 - (-5 + 9 + (-3 - (-24 - -13)) + -3).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*p - 10, 4*p = f + f - 8. Let u = 3 + f. Suppose 11 = -4*n + 4*y + u, -n + 5*y - 18 = 0. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -61. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21163403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (20 + (-23 - (-23 + 16))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i**(-4\/7)*i))\/i)**43 assuming i is positive.\nAnswer: i**(172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and 0.502.\nAnswer: 0.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46680 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 8) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 823, -2, -3, 5 in ascending order.\nAnswer: -3, -2, 5, 8, 823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 3*n - 1\/4*n**4 - 1\/2*n**2 + 8 - n**3. Let u be w(-2). Sort -5, u, 0, 11 in decreasing order.\nAnswer: 11, u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a factor of 12462228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -29\/6, -1, -1\/3780, -4 in ascending order.\nAnswer: -29\/6, -4, -1, -1\/3780, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Let k be 1\/((2 - 1)\/u). Suppose -5 = -4*g + 3. Sort k, -4, g.\nAnswer: -4, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-16)))\/(c\/(((c\/(c*(((((c\/c**(-2\/5)*c)\/c)\/c)\/c)\/c)\/c))\/c)\/c*c)*c)*c*c**(-9)*c*c**(1\/2) assuming c is positive.\nAnswer: c**(-229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v + 77. Give z(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1186283 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0175*13.703.\nAnswer: -0.2398025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o + 3*x, -59 = -4*o - x + 6*x. Calculate the remainder when 21 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -2\/11, 2\/35, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 2*h**3 + h**3)*(3 + 3 - 5) + (-43 + 77 - 43)*(4*h**3 - 6*h**3 - 4*h**3).\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*(1 - 1 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -568*l**2 - 455*l**2 - 555*l**2 + 462*l**2. Let k(n) = -2*n. Give w(k(s)).\nAnswer: -4464*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2510.8 - 2511. Which is the third biggest value? (a) 4 (b) 249 (c) i (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4316 divided by -1079.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6*(9 + -9). Let g(w) be the first derivative of -7 + 0*w**4 - 10\/3*w**3 + 2*w**5 + v*w**2 + 0*w. What is the third derivative of g(b) wrt b?\nAnswer: 240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**7\/1260 + 7*a**4\/12 - 6*a. Let t(c) be the third derivative of q(c). What is z in t(z) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 14*i**2 - 16*i - 10. Let g be l(-15). Let k = g - 5. Solve -5*f = 3*s + 16 - 5, -3*s + f + 13 = k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = -128*k + 57*k - 1548. Sort 44, k, -2, 0.\nAnswer: k, -2, 0, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 21*a - 7. Let v(i) = -7*i + 2. Let n = 48 + -21. Suppose -n*u - 16 = -19*u. Calculate u*c(z) - 7*v(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 138394 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i = -42*i - 2318, 3*w = -5*i - 193 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d41 - 3?\nAnswer: 4d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 676634 = -29474146. Let g = 44788360 + -24988982. Let k = a + g. Round k to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*h - 12 = 0, 6*h - 3*h = r + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*h - 0*h + 25290. Suppose 94*j = 99*j - h. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-75)\/875)\/((-15)\/50). Let t = -13.8 - -14. What is the second biggest value in 37, y, -3, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 2}. Give prob of sequence hf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3324, 3243, 3162?\nAnswer: 3081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131112697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l, 0 = -2*w + w + 5*l + 2. Suppose 45 = -3*g - w*g + 5*m, 5*g - 3*m = -35. Let p be (-99)\/12 - (-3 + 0). Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 = 4*f, -2*f + 5*g - 21 = -4*f. Let s(b) be the first derivative of -4\/5*b**5 - 4 + b**2 - 3\/2*b**4 + 0*b**f + 0*b. Factor s(z).\nAnswer: -2*z*(z + 1)**2*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - w = -46, 5*i - 90*w + 4*w - 2*w = -2308 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 8}. What is prob of picking 3 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6222 and 9876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6378*t - 24. Let m be n(-8). Round m to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Is f smaller than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 41*i**3 - 2 + 0 - 18*i**3 + 17*i**2 + 19. Suppose 85 = m - 6*m. Let t(s) = 8*s**3 + 6*s**2 + 6. Give m*t(o) + 6*g(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 5, o: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 10. Let i = -3 - -2.4. Let c = i - v. Put 3, c, -1 in ascending order.\nAnswer: -1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -2\/7, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l**(-2)\/l*l)*l**(1\/11)*(l\/(l**5*l))\/l**(6\/5) assuming l is positive.\nAnswer: l**(-116\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 86574 = 2*w, 0 = -3*w + 7*w + 2*r - 173124. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 396 + -258. Let l be (6 - 5)*(0 - -2). Suppose -l*r = f - 84, h - 398 = -3*f - 4*r. What is the greatest common factor of f and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -166 (b) -3 (c) -0.3 (d) 4 (e) 571 (f) -0.5 (g) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -24a691?\nAnswer: 24a68d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xyxxxxxfyydxxxyiixx?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 3) + (7 - (16 - 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 32, 0, -3, 5 in descending order.\nAnswer: 32, 5, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 1\/5, -13\/3, 2\/9, -2\/9, 1\/3, 0.417?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y - 2. Let r be z(4). Is 7\/(r\/4) - -37 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 170 = 2*i. Suppose b - i = -3*v, -99 - 26 = -4*v + b. Let a(t) = t + 20. Let j be a(0). What is the highest common divisor of v and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -7 + (2 + -3 - 6) + 10 - -42?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/4 - 25*4\/(-40). Let k(s) = -2*s**3 + 7*s**2 + 11*s - 1. Calculate k(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15822.769936 + 15823. Let b = -14.23 - -14. Let l = b + v. What is l rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 31. Suppose q = 5*g + 6. Let o(w) = w**2 - 4*w + 3. Let d be o(g). Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5421364.\nAnswer: 2, 13, 137, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -73898 divided by 6718\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2764917.\nAnswer: 3, 41, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14891 at most 14995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32 + (4*(-1)\/2 - -2). Let k(y) = 2*y**3 - 7*y**2 + y. Let q be k(5). What is the greatest common divisor of q and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9693794 smaller than 9693792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5 + q**2 + 8*q**5 - 10*q**2 + 7*q**2 wrt q.\nAnswer: 600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-6.4553139\nAnswer: -25.8212556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -44)\/((-7)\/(308\/(-11)))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 0.02175?\nAnswer: 0.000435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3861.3 - 3861. Is 485 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3623762.2 + 3283493. Let y = i - -340269.4129881. Let d = 0.213 - y. Round d to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306395 by 61279.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1110 or -1069?\nAnswer: -1110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*49\/(-280)*20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/2)*n*n**(1\/8))\/(n**(-6\/5)\/n*n*n*(n\/n**20)\/n*n) assuming n is positive.\nAnswer: n**(793\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 34. Let y = 22567 - 22573. Give h(y).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -20505.\nAnswer: 4\/20505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3932 + 320. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -14519, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 3*y**4\/4 + y**3\/3 - y**2 - y - 5856. Let k be 15\/(-6) + 1\/2. Give u(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 50*p + 127. Determine r(-47).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.7 - 35. Let u = -50.3 - d. Which is the third biggest value? (a) u (b) 2\/7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m - 7. Does 9 divide j(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2668 times -3606\nAnswer: -9620808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 734 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10844130707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 divided by -26?\nAnswer: -93\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18108 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 4*v - 4. Let m be y(-5). What is the closest to m in -1, 6, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = 10*l. Let s be (-3 - -6)\/(-3)*(0 + l). What is the remainder when 75 is divided by 2*s*(-91)\/(-7)*1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6}. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:30 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -19, 75, -4 in ascending order.\nAnswer: -19, -4, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 158, -2\/3, 2\/69, 3647, 0?\nAnswer: 3647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -v*r + r + 23 = 0. Solve -p - k = -4*k + 13, -5*k + r = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**4\/6 + 2*k**3\/3 + 9*k. Let z(f) = 45*f - 20*f - 23*f. Determine z(a(y)).\nAnswer: 4*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31681558\/18195201 - -720\/25591. Let d = -2\/237 - m. Suppose -442 = 5*n - 387. Find the common denominator of d and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-132))\/(1*(-110)\/(-176))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -28. Let m = -4 + k. Is m < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 3*b - 4202 = -98*o, -4*b = 8*o - 4*o - 188 for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/4 + 111375*u\/4 - 55685\/2.\nAnswer: -5*(u - 22274)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k + 2*n - 1154, -2*n = -2. What is the least common multiple of 18 and k?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -1962, -4829, -8842, -14001, -20306, -27757?\nAnswer: -36354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 4*x = 0. Solve x = 4*w - 15 + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -367 - -443. Calculate the remainder when x is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*d - 3 = -107*d + 2*q, -3*q - 42 = 8*d. Let f = -7 + 0. Let z = 3 + f. Put d, -5, 3, z in increasing order.\nAnswer: -5, z, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(114))\/sqrt(6) - (sqrt(19) + 4*(sqrt(19) + sqrt(57)\/sqrt(3) - sqrt(19)))**2) + 2.\nAnswer: -473 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71964, 143737, 215510, 287283?\nAnswer: 359056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 3*c**4\/16 - 7. Factor q(f).\nAnswer: 3*f**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 - 2*t**2 - 2*t. Let n(q) = q**2 + q. Let d be 1*(-3)\/(-3) + 0. Let w = 2 - d. Give w*y(x) + 2*n(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(130)\/(sqrt(10)*-2)*2 + -2 + 1)**2*6 + 1.\nAnswer: -12*sqrt(13) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267554, 267552, 267550, 267548?\nAnswer: 267546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 391 and -0.2687.\nAnswer: -105.0617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5838*b - 150. Let a(j) = -587*j - 15. What is 21*a(l) - 2*z(l)?\nAnswer: -651*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -571\/7 + 4813\/56. Calculate the common denominator of ((-20)\/(-42))\/((-24)\/154) and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -175 + -30 + 147.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 7. Let v = -5 + 9. Let y = 3581 - 3582. Put v, w, y in decreasing order.\nAnswer: v, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1231 (b) 0.3 (c) -0.04 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(7\/(56\/(-36)))*390. Let y = -176 + b. Calculate the highest common divisor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -68. Let t = m + 18. Sort -1, -3, t, -4 in descending order.\nAnswer: t, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1209073, 2418144, 3627215, 4836286?\n\"Answer: 1209071*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37002313.\nAnswer: 31, 73, 83, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 10. Suppose -39 = -3*s - k + 1, s = 2*k + 18. Let n be (-1 + -2)*(-28)\/s. Determine p(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 4*v - 149. What is k(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 44*j - 76670 = 0. Is j a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -15*(46\/(-30) + 2\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtmtj. Give prob of picking 1 t, 1 j, and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 (base 7) in base 6?\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*v - 207*v + 66*v + 166 + 66*v to the form s + r*v and give s.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 6?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*s = 3*c - 2, 4*c + 16 = -4*s. What is the units digit of 8\/3 - c\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3582*y + 63818 + 66252 = 1112*y + 43620 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.285 - -10.685. Which is the nearest to 1? (a) -3 (b) r (c) -3\/17 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/4 - 5*f**4 + 40*f**3 - 160*f**2 - f - 99. Factor c(z).\nAnswer: 5*(z - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2416254 (base 7) to base 16.\nAnswer: 4afb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-336)\/532)\/((-334)\/(-12692)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*k + 4. Let g be (2 - 3)*(k - -1). Which is smaller: g or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*f = 274*f + 385. Solve 7*b = 3*m + 3*b + 29, -3*m - 4*b = -f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 4\/5, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h + h + 0*h)*(378*h**2 - 2087*h**2 - 528*h**2).\nAnswer: 17896*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 - 998820*p\/13 - 3995312\/13.\nAnswer: 2*(p - 499414)*(p + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -921537620 to the nearest 1000000.\nAnswer: -922000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 3*i + 10 - 2*i + 3*i. Determine l(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -737552, -737544, -737530, -737510?\nAnswer: -737484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cykk when four letters picked without replacement from {w: 2, c: 1, y: 4, k: 5, o: 2}.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*16\/(-1560)*20.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**4 + 2*y**4 - 3*y**4 + 0 + 0 - 2*y**4 + (-3*y**4 + 0*y**4 + 0*y**4)*(2 - 1 - 7) to t*y**4 + j*y**2 + b + k*y**3 + g*y and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 29*a = -114. Let p be -4 - (-5 + (a - 0)). Solve -f + p = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 2 d when four letters picked without replacement from ddtpttpttdtststdtd?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/8)*x**10*x assuming x is positive.\nAnswer: x**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*s, t + s - 2 = -6. Let b(z) be the first derivative of -z**2\/2 - 8*z - 1618. Calculate b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*p + 9176 = 195*p + 280*p - 24128 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 163\/15 (c) -0.4 (d) 12\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/56690 and -93\/56690?\nAnswer: 56690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.341432 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 - 3 = 0. Let w be 18\/(-8) - i\/(-4). Find the common denominator of 13\/(-6) + (w - 0) and 45\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140817*k - 140848*k = -3*y - 68, -y - 4 = -3*k + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 290 = -7*y. Suppose -2*m + y = -91. Suppose 41*q - 19*q = 682. Calculate the highest common divisor of q and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -13\/137?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 262405286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23310236789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 3. Let d(v) = -3*v - 5. Let u(w) = -3*d(w) + 5*f(w). Let k(a) = 9*a - 3*a - a. Determine u(k(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21\/412 + -61\/824. Let b = -0.1 + 0.1. Let v = -0.1 - b. Put d, 1\/11, v in decreasing order.\nAnswer: 1\/11, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d - 2*u + 76, -5*d + 126 = 3*u. Solve -5*b = b - d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 8*v + 4. Let x be n(-6). Let h = 19 + x. Let r = 0 + h. What is the smallest common multiple of r and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 4, f: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from nuvle?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 358 divided by 3\nAnswer: 358\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*u - 15*u**2 + 38*u)*(-2*u**3 - 2*u**3 + 2*u**3)*(-2 + 3 - 2).\nAnswer: -30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2197 - -2870. Calculate the remainder when n is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2979 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(36\/224)*108\/396?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 667, 982, 1279, 1552, 1795, 2002?\nAnswer: 2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**3 + 45*n**2 + 288*n + 9. Calculate s(-7).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, -8, -83, -232, -479, -848, -1363?\nAnswer: -2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 113 + -3?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299189310.\nAnswer: 2, 3, 5, 7, 47, 30313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2426?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from booooooooooo.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3133.7 times -0.55381\nAnswer: 1735.474397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/31)\/(820\/(-25420)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/6 and -45\/86?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:33 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*f*q**5 + 4*f*q**2 + 24*q**6 - 39*q - 8 wrt q.\nAnswer: -1800*f*q**2 + 2880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098 is divided by 219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011111000 - -1011011011100111?\nAnswer: 1100101111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 3*j - 68 = 0. Let f(i) be the second derivative of -3*i**3\/2 - 12*i**2 + 22*i. Is f(j) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (8 - (25 - 9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 7 + 8, 2 = -4*s + 2*b. Let j(w) = 3*w**2 + 4*w - 3. Let p(a) = -5*a**2 - 7*a + 6. Let o(l) = 7*j(l) + 4*p(l). What is the tens digit of o(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20851883627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 11:04 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + -5*2*sqrt(14))\/(sqrt(7) + (sqrt(63)*-2 - sqrt(63))))**2 + (((2 + sqrt(2))*3)**2 - (sqrt(2592) - sqrt(2))).\nAnswer: sqrt(2) + 1809\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*r - 5*n, 9 = r - 2*n - n. Let p be (-110)\/(-15)*r\/2. Let c = p + -6. Solve 21 = -4*j + 3*l, 2*j = 5*l - c - 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, p: 5}. Give prob of sequence pgp.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2\/9 + 32692*p + 1176944\/9 = 0.\nAnswer: -4, 147118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66797 or 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 24. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 2, w: 1, h: 1}. Give prob of picking 1 l and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 357311777 to the power of 1\/3, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d - 2*d**4 - 7*d**4 - d**2 + 10*d**4 - 2*d**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.43225 minutes to seconds.\nAnswer: 2065.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8450053 micrometers to centimeters.\nAnswer: 0.00008450053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16778, -1, 25, 3 in increasing order.\nAnswer: -1, -1\/16778, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2847, -2928, -3009, -3090, -3171, -3252?\nAnswer: -3333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(1\/2*4)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3277 times 128.1\nAnswer: -41.97837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*l - 72, -3*l = -3*z + z + 38. Suppose 3 = 14*a - z*a. What is the lowest common multiple of (a\/9)\/(300\/99 - 3) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbqbqlabbqpqbbqb. What is prob of sequence aapl?\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((0 + sqrt(272) + 3)**2 - (1 + -3*sqrt(272) - sqrt(272))) + -1).\nAnswer: 80*sqrt(17) + 558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1278 + -1278. Let d = -0.08 + 3.08. Which is the closest to -0.2? (a) 0.2 (b) j (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -123, -185?\n\"Answer: -62*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - (-25 - -29).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 92, -5, -0.5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 18 = -3*v. Let s be 5 + -1 - (14 + -7). Let t be 18\/v - (s - -5). What is the third biggest value in t, 4\/9, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93486816 by -31162272.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 + 15. Calculate j(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2595488808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0028600247552 rounded to 7 decimal places?\nAnswer: 0.00286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-13)\/(-1365)*-6.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.11521 (b) 2\/11 (c) -4 (d) -0.78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6\/6757?\nAnswer: 6\/6757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 60. Suppose 2*t - 42 - l = 0. Suppose 3*q = 4*b + t, -2*b = -q + 2*b - 3. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105\/(-1)*20\/(-12). What is the highest common divisor of 210 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-63)*21*(-55)\/33 + 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 2:30 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 2*c**2 - 3*c. Suppose -o + 0*o + 4*g = 1, 0 = -3*o - 2*g + 11. What is t(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*y + 5*v - 36, -y = 5*v - 32. Suppose 0*t = -3*t + y. Suppose -t*c + 7*c = 465. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208566813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Let y(v) = 304468*v - 5 - 20312*v + 374175*v - 78330*v. Let f be y(q). What is f rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 3797 - 687)*(-i + 1 - 1).\nAnswer: 4446*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**2\/f*f*f*f))\/((f*f\/(f\/f**3))\/f)*(f**0\/f*f)**(-2\/17))\/((f*(f\/(f\/f**(6\/7)))\/f)\/f**(-5\/4))**21 assuming f is positive.\nAnswer: f**(-201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 2*r**2 - r - 1. Let t be b(1). Suppose -3*c + 0*g + 4*g = 4, -t = 5*c - g. Let i be 4\/(-10) + (-51)\/(-165). Is i equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 divided by 88020?\nAnswer: 391\/88020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 15409.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01352 + 5.98648. Let q = 0 - -0.1. Which is the nearest to l? (a) q (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in -5\/3, -15\/7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - 0.12. Let i = 0.1 + u. Which is bigger: i or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120526 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 - 96*w**2 - 184*w = 0. Calculate w.\nAnswer: -46, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8518.803 weeks?\nAnswer: 5152172054.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3468*h**2 - 9*h**3 + 3468*h**2.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(32) - sqrt(1568) - sqrt(2)).\nAnswer: -25*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**2 - 21*h + 163. Is u(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 5*b + 4. Let n be z(-3). Suppose 3*a - n = 2*w - 0, 4 = -2*w + 2*a. Suppose 4*i + w = 5*i. Let r(l) = -4*l. What is r(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.6 - -3. Let j = m + 1.5. Which is the third smallest value? (a) 0.4 (b) -1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 16) + 3 - (-25 + 20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a**(-1\/8)*a*a)\/a*a)\/a**8*a\/((a\/a**(-2\/19))\/a*a)*a**(-1\/13)\/a*a*a)**(2\/71) assuming a is positive.\nAnswer: a**(-8511\/70148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w = -1563. Suppose 5*g + 107 = 3*o, 14*o - 11*o + 47 = -2*g. Let h = g + w. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24712 and 952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1327 (base 12) in base 6?\nAnswer: -14051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/((-11)\/330*-10*3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwdywpdwwwdw. What is prob of sequence dpy?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17387722 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.5 + -14. Let y = s - -1. Which is the closest to -0.1? (a) 1\/5 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 333006288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t**5\/4 + 54366*t**4 - 265647*t**3\/4 - 410769*t**2\/2 + 265755*t - 48318 = 0.\nAnswer: -2, 2\/9, 1, 2, 8053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from mjefy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*g, 3*g - 2*m + m = 0. Suppose g*q = q - 2. Is q at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 81 + -61 - (0 - 31).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-230 + 103 - 207)*(-v + 3*v - 3*v)*(-1 + 4 - 2)*(6 - 3 + 6) to f + k*v and give k.\nAnswer: 3006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 6 = 0, -20 - 2 = -2*w + 4*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1068524260?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*y - 108, -2*w + 203*y = 205*y - 86 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 2*k**3\/3 - k**2\/2 - k. Let v be d(1). Solve 5*z = v + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971099829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.036541 millilitres in litres?\nAnswer: 0.009036541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 139760\/3223?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/56)\/(92\/(-23))*-2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 800\/5031 - 2\/387. Which is the closest to -0.2? (a) 3 (b) -3\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1233203 + 0?\nAnswer: 1233203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5390757554 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 10*z - 8. Suppose -4*h + 0*l - 5*l = -34, 46 = 4*h - l. Let y be o(h). Let k be (-6)\/8 + (-12)\/(-16). Solve y*u - u - 10 = k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4354 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 66*r**2 - 5\/6*r**3 + 1 - 7\/12*r**5 + 0*r - 1\/8*r**4. Find the second derivative of k(q) wrt q.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23\/4 - -6. Suppose 2*t = -1 - 3. What is the nearest to t in q, 3, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 17*a**2 - 28*a - 31. Suppose -82 = 5*v + 2*x, -35 - 51 = 5*v + x. What is the tens digit of t(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/(22\/88).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2528 (base 11) to base 14\nAnswer: 12b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0 + 0)*(-30*z**3 + 2*z**3 + 0*z**3).\nAnswer: 56*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, s: 5, b: 1, o: 1, e: 1, u: 2}. Give prob of sequence soe.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:04 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/9 + 26966\/90 - 1476\/3690 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62905.57nm in millimeters?\nAnswer: 0.06290557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 530*f + 1594. What is o(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113766773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-16))\/f**(1\/18) assuming f is positive.\nAnswer: f**(-271\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -13*s**2 + 145*s - 28. Give i(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*k**2*u - 2*a*k**2 + 550*a - 504*k**2*u - 3*u wrt a.\nAnswer: 2*k**2*u - 2*k**2 + 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 u when four letters picked without replacement from {u: 7, x: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - i - 1. Let f(a) = -16. Let x(s) = 3. Let t(q) = 2*f(q) + 11*x(q). Let n(p) = 3*j(p) - t(p). Is n(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i = 17*i + 6. Suppose -4 = -i*v + k, -k + 10 + 0 = 5*v. Solve v = l + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126571*k**2 - 3*k**3 + 126528*k**2 + k**3.\nAnswer: -2*k**3 - 43*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfkf when four letters picked without replacement from {x: 5, c: 2, s: 2, d: 2, k: 1, f: 2}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 25c097?\nAnswer: 25c096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in -18, -2, -1\/6, 3\/2, 563?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16822 + 8437 + 8442 - 2*r in the form t*r + l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*f + 62, -4*f = 4*z - f - 78. Calculate the highest common factor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027562639623 to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (11 - (4 - (0 + 2))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100001101?\nAnswer: 100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(2420)*-1 + sqrt(2420))\/(1*sqrt(324) - sqrt(576)*1))**2.\nAnswer: 15125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-10) - 518\/(-35). Suppose -f + 7*o = 2*o - n, 2*o = 8. What is the remainder when 174 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(1890\/100))\/((-8)\/9)*-12\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11448, -13154, -14860, -16566, -18272?\n\"Answer: -1706*n - 9742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t + 3191*t**3 - 2 - 15*t.\nAnswer: 3191*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28699\/17328 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**2\/2 + 12*u + 46. Let k be m(3). Solve -6*s = -s + k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*k + k + 5, 17 = 5*b + k. List the prime factors of -32*b\/((-8)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**5\/30 - 11*k**2\/2 + 13. Let w(t) be the second derivative of f(t). Let a(v) = 11*v**2. Determine a(w(n)).\nAnswer: 44*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283656680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 425 and 8160.\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - x**3 - x - 2 + 1 + 7*x**2. Let r be 7\/((-4)\/(-4 - 0)). Is i(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*l + 15 = 0, -3*j + 16 = 5*l - 8. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7511715.\nAnswer: 3, 5, 79, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -25*j**4\/18 + 20*j**3\/9 - 4*j**2\/3 - 4*j - 1. Let y(o) be the first derivative of r(o). Factor y(m).\nAnswer: -2*(5*m - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0930333133879 - 0.002.\nAnswer: 0.0910333133879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/56*(21\/(-6))\/1. Suppose p - v*h = 2*h + 144, -2*h = -2*p + 288. 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: Convert 15 (base 8) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 71*y**3 + y**2 - y + 1. Determine x(1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -245\/4 + 61. Let j = -1.1 + 0.3. Let q = j - -0.9. What is the second biggest value in i, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 + 1b?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -219.6 or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 1. Let g be o(3). Suppose -4*f = q - 124, g*f + q - 112 = 3*q. What is the greatest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(-3*g**2 + 4*g**2 - 2*g**2) + 131*g**2 - 59*g**2 - 544*g**2.\nAnswer: -469*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p - 1. Let u be a(6). Let j = 31 - u. Let c be (2\/4)\/((-8)\/j). Put c, -1, -4 in descending order.\nAnswer: -1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.306 + 0.006. Let t = a + 2.19. Let o be ((-8)\/18)\/(14\/7). Put t, 0, o in ascending order.\nAnswer: o, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/8)\/((-9)\/36). Suppose 0 - 3 = g*d. Let m = d - -3. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630*s = 666 + 1224. Sort 36, -11, s, 0 in decreasing order.\nAnswer: 36, 0, s, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 57 - 1 + 6 - 2*v**2 - 57.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.122 (c) 2\/9 (d) -2 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007037024 to 6 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001247 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 9*z + 3. Let f(d) = d - 26. Let y be f(10). Let q be (y\/24)\/((-4)\/54). Give i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 85*t**3 - 7*t**2 + 17*t - 73. Is h(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*v = 254 + 68, 5*b - 4*v - 464 = 0. Solve 2*p - 7 = j, 26 = 90*j - b*j + 4*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*g**2 - 50756*g - 203312.\nAnswer: 2*(g + 4)*(9*g - 25414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 130555014 (base 6) to base 12\nAnswer: a38a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 680828 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v + 9*v - 5 = -3*f, -4*v = -9*f + 37 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/4 + (-1)\/2. Let i be (-34)\/(-8) + 3\/(-12). Suppose 4*s = z + i. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6418 + -102721\/16. Calculate the common denominator of -59\/112 and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/5)\/(-1*10\/25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - 11. Let k = 225 + w. Is 12 a factor of (k\/(-20))\/(1\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxqq. What is prob of sequence qq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4*24\/81.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 7:16 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0 - 24)\/6)\/(-2). Let a(v) = -5*v**2 - 290 + 587 - 3*v - 295. What is a(u)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + 1*-1*sqrt(22) + (sqrt(22) + (sqrt(44)\/sqrt(2) - sqrt(22)) + sqrt(22))*-5)\/(3*sqrt(176) + sqrt(11)*-1*3).\nAnswer: -10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 420302, 420349, 420396, 420443, 420490?\n\"Answer: 47*v + 420255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.88 - -1.78. Let u = k + 22. Let z = -0.1 - u. What is the nearest to z in 5, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552230 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 315*a**3 - 346?\nAnswer: 945*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zssz when four letters picked without replacement from {s: 4, i: 2, h: 3, z: 1, e: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -223853554359 less than 0.0541?\nAnswer: 223853554359.0541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760373?\nAnswer: 760373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 18*q**2 - 82*q - 407. Determine x(-14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + 4*sqrt(98)*-2 + 3 + (-2*sqrt(98))**2).\nAnswer: -2400 + 336*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1921.662 kilograms?\nAnswer: 1921662000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 11:45 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -35335453 (base 6) in base 9?\nAnswer: -2058046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-80)\/75 - 6\/(-9). Let l = 0.3 + -0.2. Which is the nearest to -0.1? (a) i (b) 3\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925183.\nAnswer: 13, 148091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:02 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-4) - 0\/2. Let q = o + -4. Let p be (-3 - -3)\/(0 + q). Solve p = -3*t - 1 - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65594 is divided by 910.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.636 times -0.3\nAnswer: 0.4908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4984204114 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a + 47. Let v be (404\/44 - 2) + (-14)\/77. What is the tens digit of d(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -318, -598, -880, -1164, -1450, -1738, -2028?\n\"Answer: -l**2 - 277*l - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 2*y - 6)*(8 - 78 - 163).\nAnswer: -233*y + 1398","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*u = 44054 - 33666 for u.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 299227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001000111 + 10000?\nAnswer: -111000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 4. Let g(l) = 220403*l. Calculate z(g(b)).\nAnswer: 661209*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57.28 - 2.22. What is m rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/120 + 7*x**5\/30 - 11*x**4\/24 + 3*x**3\/2 - 11*x**2. Is n(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -22*a**2 + 254*a + 6. What is d(15)?\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + 5*sqrt(17).\nAnswer: 7 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmk when three letters picked without replacement from kmmm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 - 2*z**2 - 4*z**2 + (0*z + z + 0*z)*(76 - 39 - 41 + 6*z).\nAnswer: -2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - -2 - (-161 + 131).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25544)\/206 + (-355)\/(-5)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -27. Let x = f - 3. What is the third biggest value in x, 3\/7, 1\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d)\/(((d\/(d*(d*d*d**(1\/4))\/d*d))\/d)\/d)*d*d**(-6\/13)*d**(1\/4)\/d assuming d is positive.\nAnswer: d**(53\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1003?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d - 5*d - 2*d**2)*(2*d**2 + 0*d**2 - 3*d**2) + 0*d**4 + 19 - 7 - d**4 to the form j*d**3 + v*d + h*d**2 + s*d**4 + m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2267*v + 6600*v + 753 - 11787 + 754 wrt v.\nAnswer: 4333","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -30. Suppose -v*j + 8695011 = -810633. Suppose -731452 = -3*g + j. Round g to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2107*u - 136 = 2124*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10335872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 14*w**2 - 14*w + 18. Let b be v(-6). Let j = -10 - -22. What is the greatest common factor of j and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 224388 and 0.1?\nAnswer: 22438.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiizccmm. What is prob of sequence zim?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2 - 196. Suppose 2*r + j - 58 = 0, -r + j = 2*r - f. Calculate the remainder when 121 is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 3*k - 8, 971*z - 2*k + 26 = 976*z. Solve -60*d - 3\/4*d**4 - 16 - 129\/4*d**z + 11*d**3 = 0.\nAnswer: -1, -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckckcckrkkkrckk. What is prob of sequence ckk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 927264 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.19. Let x = z - 0.41. Let y = x + 0. Which is the closest to 0.1? (a) 0.2 (b) y (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 27*p + 23. What is v(-26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(32\/(-12)))\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32867 or -28817?\nAnswer: -32867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/5))**44\/((a*a\/(a**8\/a))\/(a*a**(-7)*a)) assuming a is positive.\nAnswer: a**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 32*h**2 - 12*h + 1. What is the thousands digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 8. Suppose 2*d + 8 = 2*f, 0 = -f + 2*f + 1. Let q be j(d). Let r be 10*(q + -2)\/2. What is the highest common divisor of 20 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 1081.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -54 - (8390 + -8288)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -22*d**3 - 2*d**2 - 3*d - 1. Calculate z(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.047 - -0.153. Let z = -0.14 + 0.54. Which is the closest to 0? (a) 7 (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((7\/2)\/7). Suppose 0 = -2*y + t + v, -2*y + 8 = 3*t - 5*t. What is the common denominator of 25\/8 and (-89)\/(-8) + -2 - y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d + 117*d**4 + 124*d**4 - 2 - 215*d**4 - 29*d**3 + 4*d**2 + 27*d**3 in the form l*d**4 + r + j*d**2 + p*d + v*d**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-12)*573*(-2)\/(-4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2321\/1986 - 2\/993. Find the common denominator of u and -13\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 1082506*d**2 - 292954810009*d.\nAnswer: -d*(d - 541253)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i + 4. Let q = -104 - -109. Suppose g - 19 = -1. Suppose -q*m = 4*r + 8 + g, -5*r + 2*m = 16. Calculate c(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(17\/3)*s**10*(s**(-1\/3))**(-16\/11) assuming s is positive.\nAnswer: s**(533\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwawwffwfffadvf. What is prob of sequence daw?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 40580*g + 568195. Calculate i(-14).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.583053473 and 14.5.\nAnswer: 15.083053473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122643 is divided by 6440?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 40*b + 11. Let i be k(10). Let m = -285 - i. Let q = -0.2 + -0.2. What is the smallest value in m, 19, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 443039 (b) 1.1 (c) -0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 5*n**4\/24 - 2*n**3\/3 + n**2. Let f(w) = 4*w - 3. Let r(b) = 3*d(b) - 4*f(b). Let k(m) = 3*m. What is k(r(q))?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + v)*(3 + 3 - 4) - 2*v + 5*v - 4*v + (-3 + 1 + 0)*(-v + 3*v - v))*(4*v + 4*v - 3*v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -204037 - -2.94436393.\nAnswer: -204034.05563607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*x + 25*x + 3*g + 27, 0 = 5*x + 3*g - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9ea173 (base 15) in base 10?\nAnswer: 7577208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ubccbcbbuubcuc.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*j + 5*w + 16, 0 = 2*w - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -139\/9?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k + 1. Suppose 4*g = -5*v - 36, -5*v - 4 - 12 = -g. What are the prime factors of x(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 480*r**2 - 3 - 2*r - 38*r**3 - 473*r**2 + 40*r**3 to s + l*r**2 + o*r**3 + x*r and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 141042?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence giwx when four letters picked without replacement from {x: 1, g: 1, i: 1, w: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112592\/6059 or -18?\nAnswer: -112592\/6059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n. Suppose -5*p - 3*u + 29 = -0*u, -2*p + 3*u = 1. Let y(d) = 3*d + p*d - 5*d. Calculate y(q(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 13. Calculate the remainder when 16 + 1\/1 - -1 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*o - 4*o + 0*o + 22*o to the form i*o + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7945 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -312 (base 4) to base 11\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 4\/5)\/((-16)\/40). Let p(g) = 15*g**2 - g + 2. Is 6 a factor of p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 7*d**2\/2 + 2*d + 1153. Let o(m) = -14*m - 4. Calculate 3*o(x) + 5*y(x).\nAnswer: -7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 30 (b) 0.4 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z - 71. Let m(l) = 11*l. Determine m(y(g)).\nAnswer: 66*g - 781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 4*r + 3*j, 1 = -220*r + 219*r + 2*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0604 - 0.0604. Which is the smallest value? (a) -2 (b) -95 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5329 + 69.2208.\nAnswer: 5398.2208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 3. Let o be n(2). Solve 5 = -2*h + o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-15))\/((-6)\/(-15)). Let k(p) = -2*p**3 - 2*p**2 + 7*p - 5. Let d(o) = o**3 + o**2 - 4*o + 3. Suppose -2*v = -3*v - 5. Calculate g*k(r) + v*d(r).\nAnswer: r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.128 (b) -1\/6 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45.6 + -46. Which is the closest to 2? (a) 5 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*15\/(-39)*-2)\/(22\/121).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 3. Let k(p) = p**2 - 5*p + 2. What is the remainder when k(i) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*a = 18232 + 20175 - 22347 for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*f)*((-6 + 4 + 1)*(-6 - 2 + 2) + 2 - 2 + 3).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 7*v**2 + v - 2. Let k = 446 + -439. What is o(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292 and 79124116?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1351 = 382*c - 4245 - 1308. Let s(f) be the first derivative of -29\/3*f**3 + 0*f**2 + 26 + c*f. Differentiate s(l) with respect to l.\nAnswer: -58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/457 or -1\/2?\nAnswer: 6\/457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + 3.4. Which is the closest to -0.1? (a) 0.2 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -32, -109, -188, -269, -352, -437, -524?\n\"Answer: -d**2 - 74*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -13*n + 101. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -44. Calculate the greatest common factor of 110 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 0*l = 348904. Let r = -169813 + l. What is r rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -41, -14, -3 in ascending order.\nAnswer: -41, -14, -8, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1571 + -9467\/6. What is the common denominator of b and (-5945)\/(-1040) - (-2)\/(-13)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 9*a + 27. Is s(-5) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12515 + -6115. Suppose b = -2*m - 18426. Let w = 148849\/12 + m. Find the common denominator of -1\/8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -631*j**2 + 314*j**2 - 2*j + 300*j**2 + (0 + 0 - 2*j)*(j + 0*j - 4*j) - 2*j + j**2 + 2*j as m*j + q*j**2 + h and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(147) - (4*1*sqrt(147) + sqrt(147))) + (-1*sqrt(147))**2 + -4 + -3)*4.\nAnswer: -112*sqrt(3) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -7, 1, -110, 2 in ascending order.\nAnswer: -110, -7, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 7*l = -6*l + 16, 3*l - 30 = -3*z. Suppose -12 = -4*m + 4*b, -5*b - z = -3*m - m. Let v be 8\/(-6)*6\/(-4). Solve m = -v*s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/7)*x)\/(x\/x**(-8)))**(-31))**(-8) assuming x is positive.\nAnswer: x**(-14384\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/8)\/((-1)\/(-2)). Let q be (-75)\/7 + 4\/(-14). Let r = 34\/3 + q. Which is the nearest to r? (a) u (b) -1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 1 = w - 1, -3*w - 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*z**2 - 481*z**2 + 958*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 798745 to the power of 1\/2, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2888.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 4. Let z be t(4). Let a(u) = -3366*u + 6773*u + 5 - u**3 - 3408*u + u**2. Give a(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 345 + -344.99465. Round s to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 17*t - 238. What is the second derivative of -2*g**2 - 51*g + t*g**2 + 2*g**2 wrt g?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 15*u + 41. Let w be d(-12). Suppose -w*f - 120 = -2*s, 2*f - 3*f = -4. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -584, -1117, -1650, -2183, -2716?\n\"Answer: -533*x - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255752878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/21 and 55\/333.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923767976.\nAnswer: 2, 809, 142733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 597528 - 114546\nAnswer: 482982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 6, s: 3, z: 7}. Give prob of sequence ft.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 18. Suppose 2*d + y*w - 21 = 3*w, 2*w - 24 = -5*d. What is the least common multiple of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 20603 - 23087 = -72*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -45375.28888 to the nearest integer.\nAnswer: -45375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528704 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/975 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 39 = -4*r - 2*d, 0 = 5*r + 2*d - 51. Let i = r - 9. Let l(c) = 2*c**2 + 4*c - 14*c + 13 + i*c - c**2. Give l(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 - 174*m**2 - 351*m - 832. What is k(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9456.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -a, -a + 3*a = 0. Suppose 2*v - 189 + 9 = l. Suppose 62 = 8*t - v. What is the highest common factor of t and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6 - 5*y**3 + 8 + 136*y.\nAnswer: -5*y**3 + 136*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {l: 1, e: 2, y: 7}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4*d = -3*u - 30, 5*u - 3*d - 11 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 469*b*c**4 - b*c**3 + 2829*b*c**2 + 27*b*c + 72*b - 1218*c**4 - c**3 - 2*c**2 wrt c.\nAnswer: 11256*b*c - 6*b - 29232*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 + -0.8. Which is the biggest value? (a) -2\/3 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2328.5 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*k + 4185 = 49*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 140329.3069 to the nearest one thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -141368397, -141368400, -141368405, -141368412, -141368421, -141368432, -141368445?\n\"Answer: -v**2 - 141368396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o**2 + 1. Let l(m) = 35*m**2 - 3. Calculate 2*l(b) + 7*r(b).\nAnswer: -14*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 g, and 1 k when four letters picked without replacement from {k: 1, d: 11, g: 2, f: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 13*b**2 - b + 1. Let f be i(1). Suppose 2*m - f - 19 = 0. List the prime factors of ((-12)\/(-16))\/(1\/m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 5 = 6*d. What is the remainder when 10 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -146, -232, -322, -416?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70624026*c**4*n - 5*c*n + 1833881 wrt c?\nAnswer: 847488312*c**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 - l. Let b(j) = -j - 2. Let v be b(-3). List the prime factors of z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 2*y**2 - 3*y**2. Let j(a) = 7*a**2 - 6. Let z(c) = -6*c**2 + 5. Suppose 14 = -5*v - 11. Let k(f) = v*j(f) - 6*z(f). Calculate k(p(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 27609 = -3*c, 47403 = 4*c - 5*u + 10622. What are the prime factors of c?\nAnswer: 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122 and 145506?\nAnswer: 17751732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 3*m - 1. Let a be p(4). Let v = -2 + a. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85096.\nAnswer: 2, 11, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**2 + 17*l - 6. Give b(6).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i**3 + 0*i + 63*i**3 + 0*i + 63*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562.333km to meters.\nAnswer: 562333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-6)*(-12)\/357. Put -0.2, 11, u in descending order.\nAnswer: 11, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92183 + 0.4.\nAnswer: -92182.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/30 - k**5\/12 + 5*k**4\/12 - k**3\/2 + 2*k**2 - 391. Let j(q) = 9*q**3 + 11*q**2 - 21*q + 7. Give 3*j(v) + 7*x(v).\nAnswer: -v**3 - 2*v**2 + 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 505\/7 - 2629\/28. Let f = 1971 + -27577\/14. Find the common denominator of f and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/3 - 3\/(-2 + 5). Let h(t) = 7*t**3 + t**2 - 6*t. Let w(o) = -o**3 + o. Let i(g) = q*w(g) - h(g). What is i(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62760 - 43152. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.043 - 1.643. Let s = -0.6 - p. Which is smaller: s or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*c*g**3*q**2 + c*g**2*q**2 + 2*c*g**2 + 1870*c*g*q + g**3*q wrt q.\nAnswer: 28*c*g**3 + 2*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Let p = 5 + h. What is the smallest value in p, 3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(2\/(-60)*-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1748)\/760*4*5\/2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r - 54. Suppose 142374 = r*l - 102552. Differentiate 13607*k + 30*k**2 - 37 - l*k with respect to k.\nAnswer: 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(1\/16)*(h\/h**(2\/5))\/(h**(-6)*h)*(h**(-1\/2))**17*h**(-2\/3)\/h*h**(-4) assuming h is positive.\nAnswer: h**(-2071\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 11) to base 5.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 2690895?\nAnswer: -2\/896965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197 smaller than 113576\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24483 (base 11) to base 14.\nAnswer: cb6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-90)\/40)\/(-1 - 10\/(-8)). Let c be (-6)\/r*((-1091)\/(-2) - -2). Let h = c - -84. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*t**3 + 3 + (4 + 4 - 6)*(-4 + 4 - 2*t**3))*(t - 10*t + 2*t).\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + 1*(-3*(3*sqrt(176)*3 + sqrt(176)) + 2).\nAnswer: -120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w**2 - 80*w - 2. Let i be g(-10). Let x be 14\/49 - 144\/14. Sort i, -4, x in increasing order.\nAnswer: x, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -8*z**5 + 234*z**4 - 282*z**3 + 56*z**2 = 0.\nAnswer: 0, 1\/4, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + r + 75. Determine m(8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g + 2*v + 6 = 0, -4*v - 16 = 0. Which is the closest to 2\/5? (a) -1\/5 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/12 - 5*n**3\/9 - 2*n**2\/3 + 20*n\/3 - 1239. Find r, given that b(r) = 0.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 2*j**3 - 6 - 3*j**3 - 6*j**2 - 8*j. Suppose 3*c + 9 = -5*p - 7, 0 = 5*c + 4*p + 5. Suppose 0*s + 21 = -c*s. Determine x(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from 219.3977.\nAnswer: 210.3977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367*h**2 + 367*h**2 - 15*h**3 + 5*h**4 - 60*h + 36*h**3 + 67*h to c*h + b*h**4 + m + f*h**2 + i*h**3 and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1729*l**5*y + 88*l**4*y - 1087*l**2*y - 2*l**2 + 11*l*y - y + 1 wrt l?\nAnswer: -103740*l**2*y + 2112*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0 - -5?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -529\/9 - -59. Suppose 2083*x + 12 = 2087*x. Which is the third biggest value? (a) 0.5 (b) t (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -3 - (-3 + 12 + 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32933\/2516864 + 4\/2809. Calculate the common denominator of 3\/2 and d.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 61*o - 841. Determine t(-39).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 40 + 151 - 12*p + 186 - 38. Let u be q(28). Solve -u*v = -2*v + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 269 and 5 + ((-528)\/(-84) - (-4)\/(-14)).\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 divided by -25?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 + 10*k**2 - 15*k**2 + k. Let j be c(0). Solve -2*n - n + 3 = j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 5. Let a(o) = o + 2. Let v = -6 + 10. Let k = v - -1. Calculate k*a(p) - 2*c(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 78. Let u be (-600)\/(-144) + z\/(-6). Find the third derivative of -22*b**2 + 51*b**2 - 9*b**u - 27*b**2 wrt b.\nAnswer: -216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -775585?\nAnswer: 77558a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m + 443 = 982 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:42 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) + (-26)\/(-10). Let r(n) = -n + 3. Let o be r(t). Suppose -5*y + o*z + 474 = -z, -y - 2*z + 97 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -79. Let r be 2*15\/f*8\/6. Suppose 20 = -2*j - 3*j, -r*j = -4*p + 4200016. What is p rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 14161526.\nAnswer: 8496915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10)*f)\/(f*f\/(f*f**(-10))))\/((f\/f**(-1\/16))\/f)**(-1\/17) assuming f is positive.\nAnswer: f**(-5439\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 1\/3, 1\/2, 0.38?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 6*f**2 - f - 4. Let m be p(-6). Suppose -7*o + m*o - 2*y = -44, 5*o + y - 42 = 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*y = -5853 + 5839, 5*a + 5*y = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -690, -1034, -1516, -2136, -2894?\nAnswer: -3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2 - -1 - -3). Suppose -3*i = -z - 845 + 232, h = 4*i - 3*z - 819. What is the highest common factor of 34 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*m - 16*m**3 - 74*m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 9499?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -54. Suppose -61 + 166 = h*f. Solve 35*n**2 + f*n - 45 - 5*n**3 - 70*n + 70 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w**2 + 3*w**2 - 5*w**2)*(41 + 12*w**2 - 16 - 15 + w) to j + r*w**3 + t*w**2 + a*w + o*w**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.1015 nanometers to micrometers.\nAnswer: 0.0851015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 5808161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -12 - -9 - (-7 + 7)) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byy when three letters picked without replacement from {b: 4, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((4*(-1*sqrt(1088) - sqrt(1088) - sqrt(17)))**2 - ((sqrt(68)\/sqrt(18))\/sqrt(2))**2).\nAnswer: -707455\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:03 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f**2 + f + 275. Let u be s(0). Let d = u - 192. Suppose 0*j - j + d = 5*c, 3*c = 5*j - 415. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and 100510.\nAnswer: -5930090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 607030 and 12322709.\nAnswer: 123227090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/103 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267088778 to the nearest integer?\nAnswer: 16343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14215724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05143 take away -2?\nAnswer: 1.94857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 204.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/8 in -1\/4, -0.5, -0.1385, -31\/7, -4?\nAnswer: -0.1385","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + -0.7. Let l = -0.6 + 0.1. Let n = 0.25 + -0.25. Which is the closest to o? (a) n (b) l (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 23\/5, 4, 49\/247?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6799 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + (sqrt(1584) + sqrt(44))*-3)\/(sqrt(1200)\/sqrt(12)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Suppose 2*y = 7*y - 50. Suppose y = 5*j - 5*z, -3*j + 15*z = 11*z - 5. Which is the fourth smallest value? (a) v (b) j (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.076 * 4.\nAnswer: 0.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 0, 4*c - 5*k = 2*c - 1. Solve c*d = d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452999.\nAnswer: 17, 26647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3641521 is divided by 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.37 - 31.63. Let j = t + 32.5. Let w be 1 - 0 - (-11)\/(-13). Which is the third biggest value? (a) j (b) w (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m + 8 = 0. Let f be m + -3 + 1 + 2. Let b be 0\/(-2) + f + -5. Let c(w) = w**3 + 5*w**2 + 5*w + 3. Give c(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Suppose -38*y + 86*y + 349 = -131. Determine x(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = -z, -5*j = 4*z - 19 + 15. Let o be (-121)\/z - (-23)\/(-92). What is the first derivative of o + 4*q**2 - 3*q**2 - 41*q**4 - q**2 wrt q?\nAnswer: -164*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40627406 or 40627407?\nAnswer: 40627407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 - -116. Let w = g - 38. What is the tens digit of (153\/w - 18\/(-12))*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*f - 3 = -0*f, 3*f + 3 = 3*h. Find the second derivative of -3*b**2 - b**2 + b + 2*b + 5*b**h wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 1, y: 1, e: 3, k: 4, j: 2}. What is prob of picking 1 j, 1 e, and 1 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z\/z**5)*z*z**4*z)\/((z\/z**(2\/15))\/(z\/z**(2\/7))))**(-3\/5))**19 assuming z is positive.\nAnswer: z**(-19646\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 959 = 2*w + 2*b, 977 = 2*w - 5*b. Let c = w + -270. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5438477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1809 and 108.\nAnswer: 7236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667155471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*j - l, 0 = j - l + 4*l - 24. Let c be 10\/3*18\/j. Factor 2*s**3 - c*s**2 + 8*s + 0*s**3 - 8*s.\nAnswer: 2*s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 8*t - 28. Let r be n(10). Let y = -204 - r. Solve w + w + 4*m - 4 = 0, 3*w + y*m - 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 8*n + 4*n + 1)*(-3 + 3 - 2).\nAnswer: -14*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 246420133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469451790?\nAnswer: 2, 5, 13, 17, 29, 53, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 17. Solve -l*x - 6 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, v: 9}. What is prob of sequence iiv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1649 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -86 + -1 + 9 + 1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 91.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - 1.3. Which is the biggest value? (a) k (b) 3 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/7, 0.14, -2\/203?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3\/2, -3, 8 in ascending order.\nAnswer: -9, -3, 3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16788\/(-52) - (4\/(-2) - -2). Let r = -323 - o. Which is the biggest value? (a) r (b) -1\/2 (c) -4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 8*m**2 - m + 3. Let k be g(-7). Let t = 91 - k. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z**3 + 2*z**2 - 5*z + 2. Does 33 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -0.16, 1, 3, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.821l to millilitres.\nAnswer: 129821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2 + 54*v + 220 = 0.\nAnswer: -22, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -14283*(4 - 5). Let t be -3*q\/(-49) + 4\/(-14). Let j = 1344 + t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 35 - 36) + -19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2231.1591*-1\nAnswer: 2231.1591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9563184 litres?\nAnswer: 956.3184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(((-512)\/(-48))\/8)*50.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8444 + -8445.8159. What is g rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-31)\/h))*h*h)**28 assuming h is positive.\nAnswer: h**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 178 from -2469.04321.\nAnswer: -2647.04321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, 0.4, 0.1836, -1\/6 in increasing order.\nAnswer: -1\/6, -0.1, 0.1836, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 268 + 4 + -2 + 4. Let y = 6 + -4. Suppose y*w = 308 + z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 3*l**3 - 4*l**3 + (-2*l - 3*l + 3*l)*(7 - 7 - 4*l**2) + (-5*l - 5*l + 3*l)*(-4*l**2 + 4*l**2 - 2*l**2).\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + 6*u)*(-2*u**2 - 2 + 2) + (2 - 3 + 3)*(-u**3 + 2*u - 2*u) - 3*u**3 - 2*u**3 + 3*u**3 + 0 - u**3 + 0.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147754378.\nAnswer: 2, 17, 1627, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/12 - 18*f**2. Let b(w) = w**2 - 3. What is b(a(d))?\nAnswer: 4*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14590041.\nAnswer: 3, 61, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40232061, -80464121, -120696181, -160928241?\nAnswer: -201160301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -1\/3 (c) 1 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -298 or -296?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*d**3*n*v + 26*d**3*v - 2*d**2*v + 13*d*n*v + 2*d + 51*v wrt d.\nAnswer: 732*d*n*v + 156*d*v - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 442\/3 in -178, -0.03, -1\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 536 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18529 + 18684.98. Let u = x - 156. Let o(s) = s**2 - 4*s - 4. Let y be o(5). Which is the smallest value? (a) y (b) 0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 56, 116, 230, 416, 692, 1076, 1586?\n\"Answer: 3*c**3 + 3*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -17*g**3 - 30*g. Let a(v) = -3*v. Determine a(i(f)).\nAnswer: 306*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38012 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -31*w + 13. Let d(s) = -46*s + 19. Let c(f) = -5*d(f) + 7*r(f). Let a(q) = 6*q - 2. Determine -9*a(y) + 4*c(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(1\/9))\/u*u**3)\/(u\/u**6*u**(-5\/6)) assuming u is positive.\nAnswer: u**(175\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -51114?\nAnswer: 51116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -22.9. Let h = -2.81 + t. What is h rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1130)\/(-113))\/(9\/((-315)\/10))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148384038 and 2706?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**(-2\/9)))\/a)\/a*a*a**0*a)**(-19)*((a*(a\/(a*a\/(a**2*a)))\/a)**(-2\/19))**18 assuming a is positive.\nAnswer: a**(74\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184852418.\nAnswer: 2, 92426209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b622 - -2?\nAnswer: 8b624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 7*n**2 + 12*n - 15. What is g(5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-19))**(2\/113)*(w\/w**(3\/7))**33)**(3\/14) assuming w is positive.\nAnswer: w**(22815\/5537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2522670 != -2522668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 5. Let a be l(0). Suppose 3*o + 7*m = 2*m + 66, -82 = -a*o + m. Let h(r) = -r - 1. Let v(n) = 3*n + 3. Give o*h(j) + 6*v(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4))**27)**(-28) assuming q is positive.\nAnswer: q**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 5281.\nAnswer: -52810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*m = -7222, 2*m = 19*n - 21*n + 7222. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, u: 5, y: 5, q: 2}. What is prob of picking 1 y, 1 q, and 1 i?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/21)\/(((-21)\/252)\/(3\/(-12)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.05, -207, 2\/73, -2 in descending order.\nAnswer: 0.05, 2\/73, -2, -14, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2*x + 1. Let o be b(-3). Suppose o*f + 48 = -0*q + 5*q, -4 = -q - 2*f. Solve 3*j = j - q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w)**(-50))**(-7)*(w\/w**(-1\/3))\/((w**2\/w)\/w)*w**(-4)*w*(w**3*w)\/w assuming w is positive.\nAnswer: w**(-2096\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1875.853 millimeters?\nAnswer: 0.001875853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 6\/26077063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6570*p**2*r**3 + 140*p**2*r + 2*p*r**2 wrt r?\nAnswer: -39420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4711 - 4715. Let c(m) = 7*m - 8. Let d(b) = 6*b - 8. Let j(n) = 3*c(n) - 4*d(n). What is j(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.84 + -1.24. Let v = s - -0.8. Which is the nearest to -4? (a) -2\/3 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48869?\nAnswer: 48869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -424654501 to the nearest one hundred thousand.\nAnswer: -424700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 7, 0.4, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 - 36*w + 54. Let o be k(7). Which is the fourth biggest value? (a) 1 (b) o (c) 0.2 (d) -1 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8790 divided by 586\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -z - 17, -13 = -5*z - 2*h + 6 - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 30081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*f = 995, 241 = 3*x + 4*f - 1248. Does 45 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -214, -847, -1908, -3403, -5338, -7719?\n\"Answer: -u**3 - 208*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - 908*j - 3588*j + 86*j to the form b*j + v + u*j**2 + o*j**3 and give b.\nAnswer: -4410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9549 is divided by 818.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6195*i + 916846. Calculate m(-148).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 2*d**2 - 5*d**2 + 2*d - d**2 - 2*d + (-1 - d + 1)*(5*d + 2*d - 5*d) + 8 + 8*d**2 - 8)*(2 - 9*d**2 + 7*d**2 - 3).\nAnswer: -8*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:29 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203020 + 1?\nAnswer: 203021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 6:08 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -331 + 343. Suppose -x*c + 893 = 7*c. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -1. Calculate the remainder when 46 + 1\/(3\/9) is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2640 + -1?\nAnswer: 2637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 3\/2*i**2 + 11\/12*i**4 + 1\/20*i**5 + 2 + 122*i + 2*i**3. Calculate k(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/13)\/y*y**(-8)*y)\/(y**(-4)*y)**(-47))**9 assuming y is positive.\nAnswer: y**(-17460\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/6)\/((-664)\/132 + 5) and -11\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 584 and 3285.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)\/((-6)\/(-72)). Let i be (-90)\/k*(-2)\/3. What is the first derivative of i*o**3 + 5 + 5*o**3 - 11*o**3 + 9*o**3 wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h\/(h\/(h\/(h\/(h**(-4)*h)))))\/h*h)\/h)**(2\/95))**(-1\/5))**(-3\/5) assuming h is positive.\nAnswer: h**(-24\/2375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*l - 8 - 5 + 13 - 119*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*b + 5*b = -344 + 1898 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8*l = 27*l - 835171. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 555 divide 1288251015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68642 is divided by 57.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293714 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36840 and 255.\nAnswer: 626280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1445 - -852. Let k = t + 897. Is 43 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 2*v + 11. List the prime factors of h(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9c547 (base 13) to base 16\nAnswer: 4569d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d\/(d*d*d\/(d**(-2\/59)*d*d)))))**(-4\/19)\/((d*d*d**37)\/(d**33*d*d)) assuming d is positive.\nAnswer: d**(-248\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**3 + 2487*t**2 + 131811*t - 66528.\nAnswer: 3*(t + 63)*(t + 352)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3566665.\nAnswer: 5, 359, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**5\/4 - 65*f**4\/4 - 225*f**3\/4 + 125*f**2\/4 + 625*f\/2.\nAnswer: -5*f*(f - 2)*(f + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/5))**8)**(-4))**15 assuming y is positive.\nAnswer: y**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1187648.\nAnswer: 5\/1187648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8320 = 14*z - 332. Let y = z - 608. What is the remainder when -1 - 0 - -1 - -268 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3202707 is divided by 130?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i + 113*i + 14108 = 2558 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and 8982909.\nAnswer: 8982920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 276382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 41.3. Let c = -0.3 - -0.2. Let f = z - c. What is the third smallest value in f, -1, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46775 and 775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 + 6*q + 3. What is f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - sqrt(204)*5 - sqrt(204) - sqrt(204))*-3 - sqrt(204)*1*1)\/(-6*sqrt(300)*-1*1))**2.\nAnswer: 4913\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-295*h**2 - h + h + 312*h**2 + (5*h - h - 14*h)*(0 + 2*h + 0))*(0 - h + 0).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1333 + 103?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -252.18506 to zero decimal places.\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011617 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273908732*q**3 - 471211221*q wrt q?\nAnswer: -1643452392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(2 - 30*n - 3 - 79*n).\nAnswer: -218*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269868658\/4829 + 55885. Let x = 303401\/569822 + c. Calculate the common denominator of -59\/8 and x.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -3\/65, -1, -7, -221, -0.2?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 2. Let g(j) = -26*j - 59. Give 6*b(n) + g(n).\nAnswer: 4*n - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 3*c + b = -35, c + 42*b - 2 = 38*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 2*y + 1. Determine l(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49316162 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**3 + z**2. Let r(o) = 3*o**3 - 5*o**2 + 6*o - 7. Let b(q) = -k(q) + r(q). What is b(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/356 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t. Let d(g) be the third derivative of -g**6\/90 - 26*g**3\/3 + 21*g**2 - 2. Let o(x) be the first derivative of d(x). Calculate o(l(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 385551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 17*h**2 - 17*h**2 + 5*h + 9*h**3 + h**2 + h**4 to t + m*h**2 + y*h**4 + a*h**3 + z*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 183430 and 1171130.\nAnswer: 15224690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 25. Let x be s(8). Suppose x*r - 4*r = -4*o, -5*r + 5*o = 0. Is 29 a factor of 0 + 87 + 2 + (r - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118200930.99703 + 118201425. Let p = o - 494. Round p to 4 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - (1 + -5)) + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112\/59 + -8787\/2360. Find the common denominator of v and 62\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -4266 in ascending order.\nAnswer: -4266, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21261036*a**4 - 17684293.\nAnswer: -85044144*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - s - 71. Calculate l(0).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350274.\nAnswer: 2, 3, 58379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**2 - 65*n**2 + 23*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*i*u**3 + 1034*h**3*i - 2*h**3*x - 1131*h**2*i*u**3*x - 2*h**2*i*u*x - i*u**3*x - 2*i*u**2*x - u**3*x wrt h.\nAnswer: 18*i*u**3 + 6204*i - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*s + 87 = -3*s, 0 = 4*f - 3*s - 93. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {b: 13, o: 5}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 - 83 - (9 + (-78 - -3) - -3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d + 44 - 218. Let o(i) = -15*i - 7. What is the remainder when o(-6) is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x - 20 = 0. Suppose -g = 2*a + 1, a = -x*a + 5*g + 35. Suppose a*p = p + 6. What is the remainder when 34 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64050 divided by -6879?\nAnswer: 21350\/2293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, t: 3, c: 6, a: 3}. Give prob of sequence va.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1259568 by -314892.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 501*n**2 + 17*n**3 - 366*n**2 + 264 + 24 - 14*n**3 - 426*n.\nAnswer: 3*(n - 2)*(n - 1)*(n + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159211 is divided by 39649?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*c**4 - 2*c**2 - 2*c**2 + 17*c**4 + 6*c**3 - 9*c**4.\nAnswer: -2*c**2*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193968785?\nAnswer: 5, 499, 77743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.007 + -0.007. What is the closest to -3 in -1\/40, -0.5, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5340 by -699.\nAnswer: -1780\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -147, -435, -755, -1131, -1587, -2147, -2835, -3675?\n\"Answer: -4*a**3 + 8*a**2 - 284*a + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1, -143*k - 7527 = -147*k - 7*f. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189*34\/(-595)*(-5 + (-640)\/(-132))\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 2*v - 12. Let o be b(0). Let y(i) = -6*i - 37. List the prime factors of y(o).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170251 and 4501883.\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -13*n**3 - 11*n**2 + 11*n + 14. Let c(h) = 4*h**3 + 4*h**2 - 4*h - 5. Let k(p) = 11*c(p) + 4*z(p). What is k(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6)\/((h\/h**(6\/13)*h)\/h))\/(h*h**4)**46)**37 assuming h is positive.\nAnswer: h**(-113775\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655303831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 3*d**2 + 1 - 5*d**2 + 33*d**3 - 45*d**3 to the form l + k*d**2 + t*d**3 + g*d and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 280201*h - 280201*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75600 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19247*c - 9624*c - 9636*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l**3 + 15185*l**2 - l - 2044059.\nAnswer: 30*l + 30370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3811556 and 4.\nAnswer: 3811556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 8. Determine w(6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 417 - 216 + 25*r + 3*r - 198 + 7*r. Let b(a) = 12*a. Give b(q(u)).\nAnswer: 420*u + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a meter in centimeters?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-44))\/((-27)\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + sqrt(228)*3)*-1 + 3*(sqrt(228)*-1 + sqrt(228)))\/(-4*sqrt(108) + sqrt(144)\/(2*sqrt(12))))**2.\nAnswer: 1216\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3 take away 7599?\nAnswer: -7596.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maq when three letters picked without replacement from {q: 5, m: 2, a: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152 + 3173. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/6)\/((-24)\/(-36)). What is v in -1\/4*v**2 + f*v + 1\/2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 635, 2127, 5027, 9803, 16923, 26855, 40067?\nAnswer: 57027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzynyynnznzznyzz. What is prob of sequence nzy?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 259509 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19290, 38406, 57352, 76128, 94734, 113170?\nAnswer: 131436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 2 - 2 + n**3 + 3*n**2 + 2*n**3. Determine i(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 235\/4 + (-21)\/28. Let z = 127 - p. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/501 - -30451\/5010. Find the common denominator of 77\/6 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5343115 + 3?\nAnswer: -5343112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 16 = -6*j. Let o be (-972012)\/(5 + -9) + j + -2. Round o to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3 + 23126*q**2 + 31*q + 6760.\nAnswer: -12*q + 46252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 8. Let b be 12\/5 - (-4)\/(-10). Calculate the smallest common multiple of i and (4\/6)\/(b\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/136 and 43\/4024?\nAnswer: 68408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/75 - 12\/(-5). Let q = -1 - -3. Determine d so that 0 + 3\/5*d + 27\/5*d**b - 12\/5*d**4 - 18\/5*d**q = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 5*y - 2. Let b(x) be the first derivative of -x**4 - x**3\/3 + x**2\/2 - 4. Let a be (1 + 0)\/(-27 + 28). Let f be b(a). Determine k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413245.\nAnswer: 5, 7, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/8 - 22*d**2.\nAnswer: d**2*(d - 176)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10255, -20421, -30627, -40873, -51159, -61485?\nAnswer: -71851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 34. Let w be r(-10). Let g = 89 - w. Calculate the lowest common multiple of g and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 2*v + 5. Let f be p(5). Let h be (28\/10)\/(8\/f). Let d(k) = k + 2. What is the units digit of d(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -25*d**5 + 1331*d**4\/12 - 10*d - 18. What is the third derivative of f(y) wrt y?\nAnswer: -3000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54344 is divided by (-26)\/(-12) + (-1127)\/(-42)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 716893 and 17.\nAnswer: 12187181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(-59714*a + 59714*a - 126*a**2).\nAnswer: 126*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*y + 12, -6 = 4*y + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707235 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: What is -0.10008452 times -6?\nAnswer: 0.60050712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 827450?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 7 - 2 = -g, s - 2*g = -5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 + -0.13. Let u(s) = -s**2 - 2*s + 1. Let x be u(-3). Which is smaller: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -20568, 16\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/((-10)\/(-640198)))\/((-12)\/4 + 4) 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 38778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - f - 2*f - 2, -2*b - 26 = -5*f. Let q = -34 - b. Let j = q + 230. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.15 and 12094487713458.\nAnswer: 12094487713457.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h + 3. Let i = -95 - -96. Suppose -x = b - h, -x - i = -2*x. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 50 - ((-7 - (2 + 6 + -17)) + 9).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25 - 56.75. Let v = 60 + r. What is the closest to v in 0, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 13*q**2 - 2*q - 12. Suppose -5*a + 0*a + 200 = 0. Calculate the remainder when a is divided by n(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89.48 + 110.6. Let x = -16.9 + l. Round x to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5422259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let d be (-3 + (-21)\/(-6))*-4. Let t be -9 - (-1)\/(1\/d). Let c(s) be the first derivative of -s**3\/3 + 6*s**2 - s - 1. What is t*a(b) + 2*c(b)?\nAnswer: -2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/56 and 29\/545888.\nAnswer: 545888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 z when three letters picked without replacement from {c: 3, z: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72.415 and 5.\nAnswer: 362.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19606 = -1410*x + 2686 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6769*u**2 - 44954*u**2 - 2806*u**3 + 2804*u**3 + (0*u**3 + 2*u**3 + 0*u**3)*(3 - 5 + 1) to g + w*u**2 + j*u**3 + z*u and give w.\nAnswer: -38185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-51) + ((-3537)\/(-1179))\/((-2)\/(3124\/51))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -2\/9 (c) -260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/10*(110\/24)\/(-11).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -357 - -45. Let q = m - -1152. Round q to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -10 (c) 17.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1043 + -715. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000091887164 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 - 3. Suppose 19*u - 64 = 67*u + 16*u. Let v(n) = -n**3 - n**2 + 1. What is u*r(x) - 2*v(x)?\nAnswer: 2*x**3 + 5*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5\/3 - 12*l**4 - 100*l**3\/3 - 36*l**2 - 40*l\/3 = 0. Calculate l.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 35 + 0*o**5 + 2*o**2 - 1\/2*o**6 + 0*o**4 - 2\/3*o**3 - 3*o. What is the second derivative of s(d) wrt d?\nAnswer: -60*d**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 25 = -n, -4*z + 2*n + 18 = 0. Let l = z - 13. Let x(d) = -d**3 - 11*d**2 + 2. Let q be x(l). Solve t = -q*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 418 and 22?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 34. Let j = z + 35. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-five quarters of a milligram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72667 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -67*j**2\/2 - j + 3. Let c(t) = 34*t + 1. Let d(k) = -7*c(k) - 4*o(k). Is d(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 - i - 1. Let w be x(-1). Let l be ((-8)\/(-10))\/(78\/(-15) + w). Let y(b) = -30*b + 2. What are the prime factors of y(l)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78*s**2 + 343*s - 144910?\nAnswer: -156*s + 343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**2 + 2. Let n(l) be the first derivative of 13*l**3\/3 - 422. Determine v(n(t)).\nAnswer: -1183*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31a5b (base 12) to base 9\nAnswer: 108688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141 in 0.66, -2, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 74*o + 107. Calculate d(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -254840 to the nearest 1000.\nAnswer: -255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 42 + u + 7 - 23 + 2*u. Calculate w(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhfsfhsjxfhfmfhhf. Give prob of picking 1 s and 2 f.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1.263?\nAnswer: -1.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*o + 29*o - 15*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 3*y**6\/40 - 13*y**4\/24 - 25*y**2. What is the second derivative of p(t) wrt t?\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 27. Suppose 2*y - 5*y - l = 0. Let p be (0 - -1) + 2\/6. What is the biggest value in y, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayqe when four letters picked without replacement from {u: 2, y: 1, e: 1, f: 2, a: 2, q: 1}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 118577913 to the power of 1\/2, to the nearest integer?\nAnswer: 10889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39878317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3*(-9)\/5. Factor -6\/5*y + 0 + k*y**2 + 3\/5*y**3.\nAnswer: 3*y*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n + 96. Give s(-29).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 7) in base 2?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*j - 3*m + 2*m, 2*m + 31 = j. Let y = 54 - j. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010111111000011 (base 2) to base 5\nAnswer: 2414440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*v**2 + 2068*l + 4*v**4 - 10*v with respect to v.\nAnswer: 4*l*v + 16*v**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 7. Suppose k = 5*b - 6. Let o = 6 - 10. What is the smallest value in o, b, -4\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -9.3. Let x = 6 - j. Suppose -3*o + 19 = -4*n, -3*n - 5*o = -0*o + 7. Which is the second biggest value? (a) n (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -427 + 428. Which is smaller: 2\/43 or n?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 3*t - 5. Let h be i(2). Suppose 2*w + 5*v = 101, 3*v = h*w - 159 - 16. Calculate the highest common factor of w and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 22*u**4 + 1350*u**3 - 41532*u**2 + 25376*u + 14784 = 0.\nAnswer: -84, -4\/11, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (9 - (-2 + 3)). Let f = -0.9 + 1. Which is the closest to 0? (a) f (b) 0.06 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2503 = -3*h - 2512, -3*h = -3*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyaayay. What is prob of sequence aa?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**3 + 5*f - 1. What is b(2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 713\/55 + -136\/11. Suppose -4*p + 2*p - 2 = 4*h, -p = -h + 4. Which is the fourth smallest value? (a) t (b) -15 (c) -3\/4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.58 - -32.58. Let c = y - 31. Suppose 0 = p - 5. Which is greater: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.85 and -6.\nAnswer: 11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 373 = 11*y - 9*y, 5*t = 5*y - 935. Let u = y + -185. Which is the closest to -0.1? (a) u (b) 0.1 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-4)\/42 - 128\/(-252). Which is the second biggest value? (a) 2 (b) -0.7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, a: 2}. What is prob of sequence oaao?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prpqepaqprja. Give prob of picking 1 r and 2 a.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132712080.000681 - 132712996. Let g = q - -916. What is g rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/9*-6)\/(13\/117). Let w(r) = -35 + 82 + u*r**2 - 47. Let d(v) = 13*v. Calculate d(w(f)).\nAnswer: 78*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 3*r + 8. Which is bigger: r or 2\/51?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482482 times 0.1?\nAnswer: 48248.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2023 is divided by 1970?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101241826.\nAnswer: 2, 7, 7231559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-4)\/(-4)*60\/100\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 157?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 657213 greater than or equal to 657214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -6. Let u = z - -6. Let y be 4\/(-4)*(-3)\/u. Is 1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, -0.07, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1910048174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, e: 5, t: 3}. Give prob of sequence ve.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -107940, -215741, -323402, -430923, -538304, -645545?\n\"Answer: 70*k**2 - 108011*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112100132 (base 5) in base 6?\nAnswer: -124351420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -23*r**2 + 3. Let f(i) = -77*i. Calculate f(g(n)).\nAnswer: 1771*n**2 - 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/j**(-1\/2)))*j**(-2\/5))\/(j**(-2\/7))**47)\/((j*j**(1\/4)*j)\/(j**(-1\/4)*j)*(j**(-2\/9)\/j)**(2\/5)) assuming j is positive.\nAnswer: j**(4258\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85e4b (base 16) to base 12.\nAnswer: 225463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*c - 36. Let x be (-104)\/(-30) + -2 + c\/3. Suppose 4\/5*g + x*g**3 - 8*g**4 + 22\/5*g**2 + 0 = 0. Calculate g.\nAnswer: -2\/5, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -565837713.09999894 - -565837720. Let s = 80.1 + -87. Let c = s + n. What is c rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4)*(-14)\/21. Let d(k) be the first derivative of 0*k**3 - k**2 - q*k**4 - 1 + 0*k. Find the second derivative of d(s) wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34951*v - 34934*v + 69885*v + 15*v**3.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*j = -3*y - 32, 5*y = 3*j - 24 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1969 + 1.5669. What is d rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k**3 + 11*k**2 + 11*k - 26. Let w = -9920 - -9918. Let o(f) = 2*f**3 + 2*f**2 + 2*f - 5. What is w*n(c) + 11*o(c)?\nAnswer: 2*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/19 (b) 17 (c) -2.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/11 - 2304*f**2\/11 - 884736*f\/11 - 113246208\/11.\nAnswer: -2*(f + 384)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 12*w + 45. Calculate the common denominator of w\/(-5)*(298\/60 + -1) and -5\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 47*c - 119. Let t be u(-29). What is the greatest common factor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78455446?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/5)*t)\/t)**(-17)*(t*t**10)\/t*t*(t\/(t*t\/(t\/(t*(t\/((t\/t**1)\/t)*t)\/t*t))*t))\/t*t assuming t is positive.\nAnswer: t**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 5914*n**2 + 11640057*n + 7625579472.\nAnswer: (n + 1893)**2*(n + 2128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(1437*p - 35*p**2 - 1437*p) to the form m + k*p + u*p**2 and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) 16 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3\/5 + 1934*h**2\/5 + 7712*h\/5 + 7704\/5 = 0?\nAnswer: -963, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23575 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311210 (base 5) in base 13?\nAnswer: -b990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*r + 6, 12 = -r + 2*r + 3*n. Solve y + r*y = 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00409866057 to 7 decimal places.\nAnswer: 0.0040987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 0.4, 11, -34, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 422 = -457. Do 23 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-107)\/(-749)*1\/(-2)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15084541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13776706 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51544 + -1?\nAnswer: 51543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4442 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 - -197. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*b - 5*w, -w - 3*w + 14 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 149739586?\nAnswer: 149739584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -57, 78, 339, 768, 1407, 2298?\nAnswer: 3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 9603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/sqrt(8))**2 + 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**6\/6 + 2*g**5\/5 - g**4\/4 - 2*g**3\/3 - 8. Solve t(k) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 7) + -7 + 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632\/4 + -55 + 59 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/204 and 107\/9248.\nAnswer: 27744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*q**4 + q - 15*q**2 - 67*q**4 - 7*q**2 wrt q.\nAnswer: -1248*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 639 - 640. What is the second biggest value in a, -2\/11, 0.04?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:28 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 68*v + 146*v - 11*v + v**3 to b*v + k + z*v**2 + u*v**3 and give b.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341, -338, -323, -290, -233, -146, -23, 142?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 c when four letters picked without replacement from cpdbbbd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2762, 20767, 69592, 164645, 321334?\nAnswer: 555067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123302101022 + 3?\nAnswer: -123302101014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7494?\nAnswer: 2, 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4045, -4081, -4177, -4333, -4549?\n\"Answer: -30*d**2 + 54*d - 4069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s = 26*s + 10. Let h be (32\/12)\/8*s*24. Suppose h + 4 = 4*o. Solve 0 = -3*j - o*b - 7, -4*j + b + 3 = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2 = 3*k, -5*k + 3*k - 6 = -c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 278778, 278777, 278776, 278775, 278774, 278773?\n\"Answer: -x + 278779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 2922.\nAnswer: 20454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 362*l**2 + 381*l + 3820. What is g(-180)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42.74 + -46.74. Which is the third smallest value? (a) 79 (b) n (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-5)\/(-20)*3)\/(-6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 43. Sort 2, 1, z in decreasing order.\nAnswer: 2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5249.16ug?\nAnswer: 5.24916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -32*k**3 + k**2 + 4*k + 3. Let i be y(-2). Suppose 2*h - 2*a = 1820, -h - 5*a + 637 = -i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 6256*b**2 + 89*b**3 - 6254*b**2 + 12510*b**2.\nAnswer: 89*b**3 - 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5845 divided by 161?\nAnswer: -835\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 10. Calculate q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {y: 3, e: 2, q: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11747, -23485, -35213, -46931, -58639, -70337, -82025?\n\"Answer: 5*x**2 - 11753*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from yessoyhsfyesyyhesyh?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -335 + 340. What is the second biggest value in 0.3, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5700528135?\nAnswer: 3, 5, 126678403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*b - 2*f + 36, -5*f = -5*b - 55. Let x be (-7)\/(-2)*(-4)\/b. Suppose 228 = 4*l + x*q, 295 = 4*l + q + 71. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-10) - ((-1278)\/1680 + 24\/(-112)). Let k = 1.1 - 1.08. Let p = 0.08 + k. Which is the biggest value? (a) -0.1 (b) p (c) -1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11878*g**2 + 437*g**3 + g + 11878*g**2.\nAnswer: 437*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-9)*2\/1. Suppose -p - 4*c = t, -5*p + 3*c = -29 + 3. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Let f(m) = 4*m - 4. Let k(i) = 4*i - 3. Suppose g - 6 = -2. Let s(o) = g*k(o) - 3*f(o). Let w(j) = -17*j. Calculate p*w(v) + 9*s(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101111 + 11?\nAnswer: 1110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 4*v + x + 19, -2*v - 2*x = -12. Let o(m) = -m**2 + 6*m - 6. Let l be o(v). Let a be l*2\/(-4)*0. Solve 3*p - p - 2 = a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -992127 + 6578127. Round q to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76869 * -2.66.\nAnswer: -2.0447154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.162941 microseconds?\nAnswer: 0.009162941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14157\/3300 - (-14)\/(-672)*204\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-20790)*-66*4\/16\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 1112)\/((8\/(-1))\/4)?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29.1 - -2.1. Let d = -2768.82752 - -2741.8275187. Let i = a - d. What is i rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4 - (-12 + 9). Let w(n) = -s - 2 + 1477*n - 1481*n. Calculate w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peeppppp. What is prob of sequence ppp?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 4. Let y be m(-4). Suppose 2*j = -y*j + 12. Let l = -61 - -307\/5. Which is the third smallest value? (a) -4 (b) j (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3224 divided by -4?\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*y + 0*y + 43 = 0, -5*n = -y + 120. Let s be -4 + (n\/10 - -1). Let f = 11\/2 + s. Which is the biggest value? (a) f (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19272 is divided by 2271?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*w**4 + 35\/8*w + 37\/8*w**2 - 35\/8*w**3 - 9\/2 = 0. What is w?\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -10) + (2 - 4). Suppose y*o + 173 - 743 = 0. Suppose o = -2*w + 635. What is the highest common divisor of 30 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-21 - -78) - 9.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - -2*8) + -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 4. Let y = 2 + i. Let x = y + -0.5. Put x, 2, 0 in decreasing order.\nAnswer: 2, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13821 + -13820.6. Let f = -0.24 + 8.24. Which is the closest to 0? (a) f (b) -0.04 (c) 2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8579103191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 268*b**6*i**2 - b**4*i**3 - b**2*i - 4*i**3 + 12 wrt b.\nAnswer: 32160*b**3*i**2 - 24*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 12 + 7 - 4*n**2 - 3*n + n**2 + 4. Let t be y(4). Suppose -5*q = -t*q - 18. What is the lowest common multiple of 11 and q?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.19 - -3. Let z = m - 0.21. Put 1\/14, 0.4, z in descending order.\nAnswer: 0.4, 1\/14, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let y be (-4 + 104\/10)\/((-4)\/(-90)). Let h(i) = -145 - y + 289 - 23*i**2. Calculate h(f(j)).\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 17 - 5. Let s(u) = 62*u**d - 183*u**2 + 60*u**2 + 62*u**2. Let k(i) = -i**2 - 1. Determine -k(y) - 5*s(y).\nAnswer: -4*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16866379*a**3 + 850*a**2 + 2612*a - 2 wrt a?\nAnswer: 101198274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2597*j**4 + 19*j**2 - 2 wrt j?\nAnswer: 62328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/(-84))\/((45\/35)\/(-9)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 4*m**2 + 4*m + 8. Let s be x(-3). Solve 0 = 4*c + o - s, -5 = -c - 0*c - o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 3*w - 2*w)*(-2*w + 0*w + 4*w) - 3*w**2 + 8*w**2 + w**2 + (-w**2 + 2*w**2 + 31*w - 26*w)*(3 + 1 - 2) in the form g + t*w**2 + c*w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + 44. Let s = 89 - v. Let k = -18 - -33. Calculate the remainder when s is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22000111222010 (base 3) to base 15\nAnswer: 592ae0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/21 - 1818*z\/7 = 0.\nAnswer: -2727, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5812755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -96, -305, -712, -1383?\n\"Answer: -11*t**3 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7114 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -709077.1 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 322023614 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -808*n + 810*n = -224. Is ((-1608)\/n + (-2)\/(-14))*514 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3117437 is divided by 2387.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (-6 - (5 + 7 + -4)) - 6.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033098.\nAnswer: 2, 3, 11, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, d: 1, l: 2, o: 4}. Give prob of sequence do.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 98, 107, 134, 185, 266, 383, 542?\n\"Answer: n**3 + 3*n**2 - 7*n + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 56 = 28. Suppose f - 29 - d = -5*g, -3*f - 4*g + 215 = 0. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + 7. Let d be b(-7). Let r(n) = -n. Let f(a) = -6*a. Let m(i) = d*r(i) + 2*f(i). Let q(j) = 2*j**2 + 0*j**2 + 0*j**2 - 6*j**2. Determine q(m(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 127205471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(6776) + sqrt(6776)))\/((sqrt(288) + sqrt(288)*2 + sqrt(288) + sqrt(288) - sqrt(288))*-2)*6.\nAnswer: 33*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 f when three letters picked without replacement from ddfffzffzffzzfz?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7635466 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 0*j)*(-2*j + 3*j - 3*j)*(2 + 2 - 5).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12, 89, 224, 423, 692, 1037, 1464?\n\"Answer: v**3 + 23*v**2 + v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 108, 168, 228, 288?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/20 + 303\/(-15). Let b = 20 + j. Solve b*u - 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/8 - (54\/8 + -7). Solve -2*z = p*y + 5, 4*y + 4*z = -0*y - 16 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217199583*j**3 + 92140506*j.\nAnswer: -1303197498*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*l + 31*l + 219912660. Suppose 0 = 4*u - 52110 + l. What is u rounded to the nearest 100000?\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/28)\/((-2)\/8)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 225529980 to the power of 1\/2, to the nearest integer?\nAnswer: 15018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77858185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 345275 in descending order.\nAnswer: 345275, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*2*-4 + sqrt(133) + (sqrt(133) - 1*sqrt(133))*5)\/(sqrt(567) - -2*sqrt(567)*-2)*4.\nAnswer: 28*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19333415?\nAnswer: 5, 59, 65537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*v**3 + 72*v**3 + 9*v**3.\nAnswer: 27*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -21. Let u be 4\/h*1*1\/(-1). Let p be (u*1)\/(((-32)\/12)\/4). Solve 0*r + r + p = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 333331 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 528*h**2*j - 9*h**2 - 15*j**3 + 4411 wrt j?\nAnswer: 528*h**2 - 45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 1, j: 7, f: 7}. What is prob of picking 1 f and 3 j?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/120 - 3*w**5\/20 - 7*w**4\/24 + 53*w**2 - 2*w + 43. Give n(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -5. Let g be (-1)\/(-28) + 2\/8. Let d be (-18)\/24*8\/(-39). Which is the nearest to g? (a) -1 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 15*x**2. Let r(h) = -h**2 - h + 1. Let s(i) = -6*i**2 - 5*i + 5. Let p(g) = 2*g - 5. Let m be p(5). Let o(t) = m*r(t) - s(t). Calculate a(o(q)).\nAnswer: 15*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 16. Let n(b) = -1. Calculate k(r) + 8*n(r).\nAnswer: -2*r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18120)\/440 - -41 - 288\/231?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5068, -4973, -4880, -4789, -4700, -4613?\n\"Answer: -f**2 + 98*f - 5165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:54 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 5*z - 2*z)*(3*z + 3*z**4 + 12*z - 13*z).\nAnswer: -15*z**5 - 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 30 = -4*r, r - 8 = -3. Suppose -3*x = -3, -f*l + l = -3*x - 12. Solve 8*h = 3*h - l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113846 is divided by 1498.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9686 (base 10) to base 6.\nAnswer: -112502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 147*v**2 - 467*v - 2665. Determine c(-150).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i = -8. Suppose i*j - 24 = j + 5*n, -2*j + 4*n = -18. Let h = 740 + -733. Solve 0*d + 3*w - h = 2*d, 2*w = -j*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/21*91\/78?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -262\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 8. Give u(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(191\/(390404\/168)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/150 and 43\/300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1630.4995 to the nearest 10.\nAnswer: -1630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 25 = -5*c, 6*c = 7*c + t - 5. Solve 2 = 3*k + 6*g - c*g, 24 = -4*k + 4*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78968*p - 78967*p + 236907*p - 78970*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*t + 76*t - 3 - 14*t.\nAnswer: 148*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/((-21)\/14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-45))\/(280\/(-200))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen quarters of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193*n - 1 - 1 + 12*n**3 - 13*n**4 + 2*n**2 - 25*n**4 + 16*n**4 + 42*n wrt n?\nAnswer: -528*n + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -2*w**6\/3 + 36*w**5\/5 + 10*w**4 - 469. Determine o, given that h(o) = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1964\/25 - 202231\/2600. What is the common denominator of l and ((-86)\/12)\/((-7752)\/(-612))?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7618.5 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-180))\/(17\/(17850\/(-56)))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -24 - 0\/(-1) - (48 - 48). Let t be 2\/w*((-32)\/6 - -8). Let x = -4 - -9. What is the second smallest value in -5, x, -2\/21, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4\/4 - 1441*z**3\/4 + 1437*z**2 = 0?\nAnswer: 0, 4, 1437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*z - 12 = 0, -2*z = 77*p - 82*p + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 287927292301 + -17\nAnswer: 287927292284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - d**3 + 2 + (-2*d - 1 + 1)*(4*d**2 + 3*d**2 - 6*d**2) - 4*d**3 + 0*d**3 + 3*d**3 - 1 + 3*d**3 + 1 to w*d**3 + a*d + t*d**2 + l and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5321, 10954, 16601, 22268, 27961?\n\"Answer: n**3 + n**2 + 5623*n - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 divided by 17?\nAnswer: -217\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ebf3c (base 16) to base 12\nAnswer: 3a7364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85\/2 in 0.2, 17.7, 2, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.040939 rounded to 3 dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = -9*t - 48. Calculate the common denominator of 38\/15 and t\/7 - (-169)\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)*l**(-1\/10))\/((l*(l**5*l)\/l*l)\/(l**(-6)\/l)) assuming l is positive.\nAnswer: l**(-271\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33713545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 475359059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156650 - -1641?\nAnswer: 161621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59 and 4.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(405)*-2 + (sqrt(405) + -2)*3 - sqrt(405)*-2*3*-5*-3)**2.\nAnswer: -11466*sqrt(5) + 3353854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*g - 270, 5*g - 2*w + 442 = -5*w. Let m = 151 + g. What is the remainder when m is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 + 141.7. Suppose 0*x = -4*g + 4*x + 28, -14 = -4*g - 3*x. Let w be (g\/(-15))\/((-10)\/6). What is the nearest to w in s, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3 - 5 - 2*h - 2*h**2 + 5. Suppose 2*t - 5 = -u, 8*u + t - 5 = 7*u. Let j(b) = -b**3 - 5*b**2 - 5*b - 7. Let n(z) = u*d(z) - 2*j(z). What is n(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202.72 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.71 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5274, 5261, 5242, 5217, 5186, 5149, 5106?\n\"Answer: -3*b**2 - 4*b + 5281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 288. Let k(w) = w - 180. Let a(n) = -8*k(n) - 5*o(n). Let i(p) = -706*p. Determine i(a(t)).\nAnswer: -1412*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, -0.06, 2\/21?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 2*t**5\/45 - 2*t**3\/27 - 10. Determine z, given that j(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 459, 691, 925, 1161, 1399, 1639?\nAnswer: 1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l - 3*l)*(-2*l**2 + 2*l**2 + 2*l**3) - 11 + 4*l**4 + 11.\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228.195692 - -0.1.\nAnswer: 228.295692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*u = 10, 2*b = 3*b - 4*u + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**3 + 0*f**3 - 6*f**3 - 2*f + 3*f - f**3.\nAnswer: 7*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70989 or 70988?\nAnswer: 70988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u**3 + 3*u**3 - 3*u**3)*(-u + 0*u - u) + 2*u**2 - 2*u**2 + 2*u**4 + (4*u**4 + 0*u**4 + u**4)*(-1 + 1 + 1))*(-20*u + 8*u - 14*u).\nAnswer: -286*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.23 bigger than 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1834 (base 15) to base 9\nAnswer: 7144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 9\/5, 19, 0.121, -154, -4\/9?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/42 + 383\/6. Suppose 20*c - 16*c = m. Let o(i) = 3*i**2 + 3*i + 4. Let v be o(4). What is the highest common factor of c and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21990567 is divided by 3141508?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -116, -228, -338, -446, -552, -656, -758?\n\"Answer: f**2 - 115*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 3 - 6*m**2 + 6*m**2 - 2*m - 2 + 3*m**3 to the form b + o*m + q*m**2 + v*m**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 155*z + 1201. What is v(70)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -53448 (base 10) to base 16\nAnswer: -d0c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554306181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/245, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 + y + 2. Let r be x(3). Calculate the lowest common multiple of ((r\/2)\/(-21))\/((-2)\/72) and 2\/(-6) - (-37)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 25*z - 10. Calculate the smallest common multiple of b(-12) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 + 108. What is the highest common factor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.194 - -4.194. Which is the third biggest value? (a) 2\/5 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2604 - 2457 = 4*b, 2*b + 5*d - 76 = 3*d for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-106826)\/(-7) - (-30)\/210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (26\/39)\/((-4)\/54). Let q(o) be the first derivative of -2*o**2 - 13*o + 196. Give q(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -179*i**3 - 7*i + 36*i**2 - 3*i + 204*i**3 - 71*i**2 + 20*i**4.\nAnswer: 5*i*(i - 1)*(i + 2)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1400*m**3 - 292*m**2 - 2*m*t - 3087238*t wrt m.\nAnswer: 4200*m**2 - 584*m - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 14) to base 6\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*z + 15 = 0, p + 3*p - 60 = 5*z. Calculate the remainder when 129 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**4\/12 + 3*t**3\/2 + 3*t**2 + 2*t. Let q be i(-9). Is q\/14 + 13266\/63 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 4*o - 3. Let l(r) = 7*r**3 - r**2 + 15*r + 10. Let c(n) = -n**3 - n**2 - n. Let u(b) = -6*c(b) - l(b). Let k be u(5). Give t(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 9263 = -9558. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*g - 27. Let h(a) = 9 - g + 2*a. Let r(c) = -4*c**2. Calculate r(h(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (13 - 29) - -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 11*i**2 + 78*i - 499. Give n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3\/5 + 33244*w**2\/5 + 55264825*w + 552515282\/5 = 0.\nAnswer: -16621, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.286 - 0.27. Round v to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + 35. Calculate the remainder when o is divided by 43 - (2 + 3 + -23).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.195 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 4*j**2 + 4*j - 5. Let r be k(-5). Let d(b) = 4*b + 399. Let f be d(r). Let h = f + -176. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -296 in -4, -3, 4, 3, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.002 and -15662?\nAnswer: 15661.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 50576 = 4*d, -5*d = -4*q + 19477 + 81654. Is 60 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35810, 35718, 35626, 35534, 35442, 35350?\n\"Answer: -92*c + 35902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 34, -3*w - 124450 = 111*d - 120679 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17745177*g**3 + 0*g + 0*g + 17745181*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3809871, 3809866, 3809861?\n\"Answer: -5*v + 3809876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84603 is divided by 14050.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, i: 1, a: 3, g: 3}. What is prob of picking 1 a and 1 g?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 446 + -7584\/17. Let m(n) = -6*n**3 - 4*n**2 - 2*n. Let o be m(-2). Let w be 2\/o - 28\/126. What is the third biggest value in z, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o**2 - 15. Let s(r) = -r**3 - r**2 - 14. Let x(y) = -4*n(y) + 3*s(y). What is the remainder when 70 is divided by x(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 180, 166, 156, 150, 148?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 5*w**2 - 6*w + 5. Suppose 0 = 3*s - 2*b - 7, -7 = -5*s - 2*b + 26. Calculate the remainder when (-4 - 15)\/(s + -6) is divided by d(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*x - 6 = 0, 5*x - x + 12 = -3*q. Put -3, q, -5 in ascending order.\nAnswer: -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 776 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 0.0501766.\nAnswer: 0.3512362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 + 11?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -32. Suppose h + 4 = 2*l, 2*h + 5*l - l - 24 = a. Are 5 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226173*-6.1.\nAnswer: -1379655.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -7 + (5 + -4)*-1. Let v be ((-171)\/(-27) - (-4)\/6) + x. Solve v*l - 24 = -16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9511, -38141, -85865, -152689, -238619, -343661, -467821?\n\"Answer: -a**3 - 9541*a**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21054471271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 + 0)*(1 + 1 - 4) + 0 + 1 - 2 - 6 + 25 - 10)*(p + 2*p - 5*p) as w + u*p and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 y when three letters picked without replacement from yyyryryryrryyryyrrrr?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 25*l - 11*l - 19*l + (3*l - 5*l + 5*l)*(-1 - 4 + 4) + (6 + 5 - 6)*(-l - 1 + 1) in the form f + o*l and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (5*-3*sqrt(864) + sqrt(864))\/(sqrt(22)\/(sqrt(891)*2)))**2.\nAnswer: 137168640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**8*o**0)**(3\/22))**(-33) assuming o is positive.\nAnswer: o**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781103299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Suppose 5*i - 25 + y = 0. What is the second derivative of -z**i - z - 4*z + 7*z**2 - 7*z**2 wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 0) + (-2 - 2 - -6) + 1117 + -1090\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/30666 and -169\/30?\nAnswer: 153330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-9)\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -0.1, 8, 9\/5, -1.71, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/2 of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 18 - 12 = 0. Sort p, -4, -45, 1.\nAnswer: -45, -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 6. Let c be d(-2). Suppose 5*y - 44 + 34 = c. Let h(m) = 5*m - 3. Determine h(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7.2 (b) 2 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*j**4 + 2*j - 405.\nAnswer: -352*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3158\/9 - -350. Let f = -7083 + 7082.9. Which is bigger: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45321813.\nAnswer: 3, 17, 296221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -401 - -6013\/15. Let v = 106 - 744\/7. Let k(h) = -h**3 + 4*h**2 - 2*h + 5. Let l be k(4). Which is the biggest value? (a) l (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213 + -126. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4 - (-2 + 0)) + -3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + (1 - 9) + 5 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 125*h**3 - 84*h**3 - 64*h**3 + (4*h**2 - h**2 - h**2)*(-h + 2*h + 0*h).\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/8)\/x)\/(x\/(x\/(x\/(((x**(3\/11)*x)\/x*x)\/x))*x*x)))**(-9) assuming x is positive.\nAnswer: x**(-117\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*m = 3*m - 14, 0 = -4*c - 4*m + 40. Let q be c\/(-2) + (46 - 37). Solve -5 = j - q*h, -3*h - h - 15 = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 12:58 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 31*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 445471.992 minutes in weeks?\nAnswer: 44.19365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2351995269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*n - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - 1021200102100?\nAnswer: -1021200101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25192211 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from aaaaaaaabaab.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 41 + -33 + 1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25539\/152 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l + 11126 - 234227. What are the prime factors of l?\nAnswer: 3, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l = 19*l - 14*n, 0 = 6*l - 4*l - 2*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1331, -897, -173, 841, 2145, 3739, 5623?\n\"Answer: 145*r**2 - r - 1475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w - 10. Determine f(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2990 - 2989.2. Which is the closest to p? (a) 0.3 (b) -2 (c) -2\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 3.12\nAnswer: -2.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 2\/7 (c) 36\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from sssmsmmmsssms?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 88\/(-110) - (9336\/(-20) + -4). Calculate the highest common divisor of m and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**5\/30 + k**4\/6 + k**3\/3 + k**2\/3 + k\/6 - 6. Determine i, given that v(i) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 6. Suppose -5*x - s - 2 - 1 = 0, -x + 15 = -5*s. What is j(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 13*a**2 + 14*a + 18. Let g be u(14). Suppose 2*t = 48 - g. Let b = 19 - t. Calculate the lowest common multiple of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*z = -233*z + 640. Let g be (-2 - 52\/(-6))\/(z\/(-240)). What is the greatest common factor of g and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0404022 and 2.\nAnswer: 2.0404022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-5))**29*w**(-14)\/w**(3\/14) assuming w is positive.\nAnswer: w**(2237\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2529 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/3, 28\/3, 2\/9.\nAnswer: 2\/9, 2\/3, 4, 28\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(20)\/sqrt(5)) + -1 + ((sqrt(190) + sqrt(190)*2 + sqrt(190))*1 - sqrt(190))\/sqrt(10))**2.\nAnswer: -8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1502388 and 5022.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(30\/26 - 1). Let d = t - 10. Let f(j) = -j - d - 6 - j + j. Let y(x) = -4. What is -2*f(v) + 5*y(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 42 + 0*j - 31 - 6*j + j**2. Let d be v(3). Suppose -84*g**5 + 85*g**5 + 2*g**3 - 3*g**4 - d*g**3 + 4*g**2 = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(112\/(-36) + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/27600 and -131\/13800.\nAnswer: 27600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 3*s**2 - s**2)*(4*s + 0*s - 34*s + 1 - s - 1 + (s - 5*s + 2*s)*(-5 + 5 - 1) + 6*s - 2*s - 2*s).\nAnswer: 81*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 - v - 12. Let z(y) = 2*y**3 + 7*y**2 + 2*y + 25. Calculate -11*o(f) - 6*z(f).\nAnswer: -f**3 + 2*f**2 - f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 21653?\nAnswer: 3\/21653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -0.4, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of (-235)\/47*10111\/(-10)*(5 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -895, -1792, -2689, -3586, -4483?\nAnswer: -5380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - j + 1. Let k(d) = -4*d**2 + 6*d + 17. Let c(f) = -k(f) - 3*t(f). Let y be c(8). Solve -4*a - 5 = v, 3*v + y - 5 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*h + 18 - 81*h + 41*h to m + g*h and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.918482829 take away 0.2?\nAnswer: 4.718482829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2\/3 - 979028*y\/3 = 0.\nAnswer: 0, 244757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 38. Let g = w - 36. What is the highest common divisor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 7*l**6\/60 + 5*l**4\/24 - 2*l**3\/3 + 7*l**2 - 50. Let j(t) = 7*t**3 + 3*t - 2. Give 5*j(d) - 3*m(d).\nAnswer: -7*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1725.49 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -215*p**5*t**3 - p**3*t**3 - 47*p**2*t + t**3 - 3*t wrt p.\nAnswer: -12900*p**2*t**3 - 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*x = -34, 3*s - 446*x = -450*x + 18. Let g(c) = -c**3 - 6*c**2 + 9*c + 5. Let m be g(-7). Sort -1, s, m, 3.\nAnswer: m, s, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -206446424 to the nearest one hundred thousand.\nAnswer: -206400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 25452.73 to the nearest 100.\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 4.37, -0.7, -1\/4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6750 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 68*g**2 - 1153*g - 50. Give f(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/(-25))\/(-4) - (-81)\/15. Suppose -6*l = 3*p - 5*l - b, 4*p = 4*l + 12. Solve 0 = -5*c + 13 + p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35*(-30)\/3150)\/((-6)\/(-1116)*-4)\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -334 smaller than -339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 256 - 126. Let r = q + 127. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x - 4. Let u be r(1). Suppose -4*a - u*w - 10 = a, -3*a - 4*w - 14 = 0. Solve -21 = 4*c + 3*t, -a*c = 2*c - 4*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 92*i**2 + 792*i - 1440.\nAnswer: -4*(i - 4)*(i - 3)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 17 (b) -0.03 (c) -99469 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 13*u**2 - 14*u. What is the tens digit of t(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 266 - 58 = 0. Solve 17*j - 26 = d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f**3 + 2*f. Let p(j) = -27*j**3 + 5*j. Let y(x) = -7*o(x) + 3*p(x). Find the second derivative of y(a) wrt a.\nAnswer: 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544766 to the power of 1\/2, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.2. Let g = 50588791\/144915180 + -1175\/11937. Let f = g - 2\/3035. What is the closest to 2\/5 in k, -5, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**3\/3 + 3*y**2\/2 + 19*y - 35. What is the units digit of o(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394376 and 504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*p + 24*p + 112 + 135. Solve -p*i - 21 - 17 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*o + s, -o - s = -0*o - 6. Let r = o - -24. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72706951\/7794010 + 2\/556715. Let o = c + -83\/14. Which is smaller: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -10*f - 8. Let w be r(-1). What is the units digit of (1\/w*-2)\/((-14)\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-1 - -6 - (10 + -12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1960\/(-2205) - 2\/18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(((-3)\/(-10))\/((96\/(-16))\/30))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a + 0*a + 8*a**2 - 5*a - a to the form i*a + c*a**2 + y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*m**2 + 5837 - 6207 - 70*m**2.\nAnswer: -2*m**2 - 370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 26550.\nAnswer: 26550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 1613710?\nAnswer: 1613702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*k**2 - 277307 + 4*k**4 - 10*k**4 + 277310 as o*k**3 + g*k + y*k**4 + r + p*k**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00698 rounded to 4 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -32. Solve -3*p - 2*p + 2*m = 19, -4*m - g = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 630072411?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9573868 micrograms?\nAnswer: 0.0000000009573868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 93321900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(0*j**2 - 3*j**2 + 5*j**2 + 10 - 10 - 5*j**2 + (5*j - j - 2*j)*(j + 0*j + 0*j) - 4*j**2 + j**2 + 5*j**2) as k*j + g + i*j**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 6.22. Let b = o + -0.352. Let c = b + 0.13083. Round c to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 6 + 334*l**2 - 34*l + 4 - 335*l**2 + 2.\nAnswer: -l**2 - 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5 = 3*r - 2, 22 = -2*r + 4*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -1\/3 (b) -17 (c) -2\/9 (d) 0 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23792 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 216 = 2*n, -2*n + 19*g - 9230 = -10256 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -14, -68 in descending order.\nAnswer: -1, -3, -14, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -97\/2. Let g = 24\/31 + -374\/403. Let j be 2*-1 - 12\/(-6). Which is the nearest to j? (a) -2 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48560031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9283.033555 + -9283. Let j = b - 0.034. What is j rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37601444 divided by -10.\nAnswer: 18800722\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*y - 3*o - 76, 0 = 3*y + o - 44. Let d = y - 15. What is the first derivative of 3*m + d - 2 + 6 + 0 wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 <= -47\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048803194 to 5 dps.\nAnswer: -0.00488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2580119.\nAnswer: 2580119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 42*k + 6738. Give m(-160).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)*p*p*p**(1\/2))\/((p*p\/(p\/p**(2\/7)))\/p**2))\/((p**(-1\/2))**(1\/56)*(p**(1\/3))**(-10)) assuming p is positive.\nAnswer: p**(523\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 1\/4*b**4 + 2\/3*b**3 + 0*b - 2*b**2 + 29. Calculate j(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -4*z - 3, -z + 2*m = 2. Suppose 4*d - 5*b = 53, 2*d - 21 = -z*d - 3*b. Suppose 4*x + 925 = 4*p + 73, -3*x - d = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*c**3 + 28*c**3 - 10*c**3)*(0 - c + 3 + 2*c).\nAnswer: 51*c**4 + 153*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*w**3 + 3*w**2 + 448*w.\nAnswer: -156*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhchlhchcchhhhhl. What is prob of picking 1 h, 1 d, and 2 c?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h + 15*h**2 - 10*h + 96*h**2 + (2*h - 13*h - 3*h)*(2*h + 2*h - 5*h).\nAnswer: 125*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23511161 to the nearest integer?\nAnswer: 4849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(m + 0 + 0)*(1 + 2 - 2)*(-2*m + 0*m + 3*m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21178.05 + 21178. Which is the biggest value? (a) -0.1 (b) 2 (c) 14\/11 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 45 = -2*x + 5*p, 4*p = -3*x - 10. Let r = x + 15. Solve -4*k = -r*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 24.1. Which is the closest to 0.2? (a) k (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3180)\/15)\/((-16)\/2*62\/(-124))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 2\/5, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -81.5. Let l = -25.99 - 0.01. Let k = m - l. What is k rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1)*d)**0\/((d**(-2\/17)*d*d)\/(d\/d**0)) assuming d is positive.\nAnswer: d**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**5 + 5*d**4 + 265117*d**3 - d**2 + 826*d - 165.\nAnswer: -180*d**2 + 120*d + 1590702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-39)\/18 - (1137 + -1146))*12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2508*w**3 + 77*w**2 - 77*w - 77. Let o = -29839 + 29762. Let d(k) = -66*k**3 + 2*k**2 - 2*k - 2. Determine o*d(g) + 2*q(g).\nAnswer: 66*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1250)\/100*(-38)\/8740*24\/3\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rur when three letters picked without replacement from urr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2. Let p(f) = 78*f**2 - 63*f - 8. Let o(y) = 20*y**2 - 14*y - 2. Let g(u) = 9*o(u) - 2*p(u). Calculate g(m(n)).\nAnswer: 24*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -5, 3, 2, -3 in increasing order.\nAnswer: -40, -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 451471, 451483, 451483, 451465, 451423, 451351, 451243?\n\"Answer: -m**3 + 19*m + 451453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -77. Find the second derivative of 22*j - 34*j**2 - 64*j**i - 27*j + 1 wrt j.\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*c**5 + 6627\/4*c**2 + 405\/4*c**3 + 2700 + 4230*c - 99\/4*c**4 = 0 for c.\nAnswer: -3, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377132463 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - v = 0. Solve v = -2*q + 2 - 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 394865 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110010000 + -1?\nAnswer: 10110001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1381.11 + 1403. Let k = t + -22. Let i = 0.110035 + k. What is i rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10780+88\nAnswer: -10692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 - (55 + 6 + -34 - -46)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40*((-19656)\/896 - -22)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151.0371 + 370.8455. Let f = u - 522. Round f to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9185.\nAnswer: 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 3*v + 3. Let l be b(-2). Let z(f) = -11*f**3 + 8*f**2 - 2*f - 6. Let s(k) = -k**3 - 6*k**3 + 5*k**2 - 4 - k + 0*k**3. Give l*z(x) - 8*s(x).\nAnswer: x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3870006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**9\/15120 + n**8\/6720 - n**7\/2520 - n**6\/720 - n**4\/2 + 12*n**2. Let a(f) be the second derivative of x(f). Factor a(r).\nAnswer: r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*n + 62*n + 3920. Factor 96*y + 607 + 1064*y**3 - n*y**4 + 656*y**2 - 607.\nAnswer: -4*y*(y - 6)*(7*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 238 + 326. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1446*d. Let s(c) = 8944*c**2 - c + 8. Calculate r(s(v)).\nAnswer: 12933024*v**2 - 1446*v + 11568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 162*l**2 + 36. Suppose 0 = -16*m + 61 + 515. Let u(t) = 23*t**2 + 5. Determine m*u(w) - 5*n(w).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676 = 44*h + 100*h - 92*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*k + 16*k + 23*k + 1 + (-2 - 2 + 2)*(-k - k + 4*k) + (-10*k - 17*k + 19*k)*(-3 + 1 + 0) - k + 3 - 3.\nAnswer: 27*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, -68617 in ascending order.\nAnswer: -68617, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -59456 divided by -1043?\nAnswer: 59456\/1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 3*n + 9. Let y be (1\/n)\/((-9)\/(-27)). Put -9, y, 2 in descending order.\nAnswer: 2, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -730532840 divided by 107780.\nAnswer: -6778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41\/3 + -163\/12. Which is the closest to -3? (a) 3 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 79*t - 327. Let s be z(70). Which is greater: s or 307?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 - 1002\/10. Let i = -70 - c. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27513736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 16 = -4. Let z(g) = -c + 3 - 2*g + 3*g**2 + 2 + 1. Let x(n) = -n + 1. What is -2*x(v) + z(v)?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -26*z**3 + 3*z**2 + 36*z + 41. Is i(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 436.3 times 109\nAnswer: 47556.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 140*z + 2117. Give m(18).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -15*t**2 + t. Let b be a(-1). What is the remainder when 22 is divided by 2 - (-2 + b\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21192 - -21199. Let a(s) = -s**3 + 7*s**2 + 7*s + 2. Give a(o).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57457904.52 rounded to the nearest 10000?\nAnswer: -57460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 631776234 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - (sqrt(200) + 2 + sqrt(200) + 1) - 5*-3*sqrt(200) - (-1*(sqrt(200) + 0) + (sqrt(200) - 1*sqrt(200))*6 + 3))**2.\nAnswer: -1800*sqrt(2) + 45036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 200 = 3*r - 203, 3*r - 15 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.39 or -14\/25?\nAnswer: -14\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 11*l + 26. Let a be h(4). Let b(i) = 3*i**2 - 2*i - 3. Let p(q) = q**2. Determine a*p(g) + b(g).\nAnswer: g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16690044 - 21528.9\nAnswer: 16668515.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73462208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmaadannamnjamnd. What is prob of picking 1 m and 1 j?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(32\/(-48) - (-1)\/6). Let c = -17 + z. Solve 0 = -4*o + c*o + 2, 4*u = -4*o - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -595738?\nAnswer: 595733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + s + 0*s + (0*s + 3*s + 3*s)*(-1 + 2 + 1))*(3*s**3 - 2*s**3 + s**3).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 1 + 0)*(-2*y + 3*y - 3*y) - 2*y + 2 - 2)*(6 + 6 - 2 + 5 - 5 + 1 + (-1 + 0 - 1)*(-3 + 2 - 1)) to the form k*y + p and give k.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 = -11. Suppose 3*d + 4 = b*d. Solve 2*s**5 - 2*s**4 + 3*s**2 - 7*s**2 + 2*s - 6*s**4 + 12*s**3 - 4*s**d = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p. Suppose 3*x = -u - p - 11, -u - x - 1 = 0. Solve -u*y + y + 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (738\/287)\/(3\/((-84)\/(-8))). Solve -24*n - 177 + s = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = -y + 22, 2*y - 5 = 3*x. Which is the nearest to -12? (a) 1 (b) y (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*d**3 + 246*d**3 - 275*d**3.\nAnswer: 380*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1143 + -62?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.38 smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1395857 = 2*c + 5*b - 44804133, 3*b - 115499994 = -5*c. Round c to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 764.7001ms?\nAnswer: 764700100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2900185 is divided by 266.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/6 - 25*y**2\/6 + 187*y\/6 - 121\/2.\nAnswer: (y - 11)**2*(y - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i**3 + 5*i**2 + i + 5. Let t = 83 - 88. Let h(l) = -4*l**3 - 2*l**2 - 2. Suppose -4 = p - 2. Let b(o) = p*r(o) + t*h(o). Factor b(n).\nAnswer: 2*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127113\/5 - -25561. Which is smaller: q or 139?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 4*m + 60*m**3 - 20*m**3 - 26*m**3 - 15*m**3 - 3. Determine b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-57)\/(855\/96))\/((-2)\/(-5)))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**2 + 2*n + 2. Let z be d(-1). What are the prime factors of (63\/z)\/(-7)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*y**3 - 6 + 2 - 24*y**3 - 3.\nAnswer: -67*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6542.28kg in tonnes?\nAnswer: 6.54228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*d - 19 + 34 - 15.\nAnswer: -557*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 20*k**2 + 3*k + 38. Calculate w(-20).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 3:38 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1642149703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 39484*l**2 - 8*l - 39486*l**2 - 847*l**3 + l**4 + 9*l to the form q*l**2 + c*l**4 + t + o*l + u*l**3 and give u.\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = 2*o, 0 = -3*b + 10 - 19. Sort o, -1, -7, 3, -3 in ascending order.\nAnswer: -7, -3, -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -13*z**3 - 8*z**2 + 10*z + 3. Is v(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**3 + 9*p**2 + 3*p. Let w(v) = v**3 + v**2 + v. What is -a(c) + 3*w(c)?\nAnswer: 8*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 74*p**3 - 12*p**2 - 4*p - 3. Let j(o) = -37*o**3 + 6*o**2 + 3*o + 1. Let l(h) = 11*j(h) + 6*x(h). What is the hundreds digit of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 - 3*k**4 + 2*k**4)*(6*k + 17*k - 2*k + (4*k - k + k)*(-4 + 7 + 2) + 2*k - 2*k - k).\nAnswer: -40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 835.39 >= 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*g*w + c - g**2*w**2 - g*w**2 - 263*w**2 + 2*w wrt g?\nAnswer: c*w - 2*g*w**2 - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*f**5 + 339*f**2 + 609*f + 58?\nAnswer: 180*f**3 + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1565 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*j - 4*o, 4*o = 3*j - 8 - 15. Let i be -1 + -1 - (0 + -1). Which is the nearest to j? (a) 0.1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-4)\/480 + (-100)\/(-400).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2386?\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1948 divide 146437004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i + 24 = 119 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*p + 113 + 177 = 56 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 0*j + 0*j + 5*j + 2*j + 0*j + (1 + 0 - 3)*(1 - 1 + j) + (-2 + 5 - 4)*(2*j + 0*j - 3*j) to b + i*j and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 43. Suppose -5*w + 13 = g - 0*w, -s*w = -4*g + 6. Let i be 4 - g - (0 - -1). Solve -3*z - 6 + i = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v + 2*v + 48*v = 1360 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 10. Let k be i(10). Suppose -k + 0 = -p. Differentiate 8*x - 18*x + p*x + 14*x**3 - 6 wrt x.\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*z - 766 = -5412 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -160785795 - 0.9.\nAnswer: -160785795.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 1:34 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3303 - 3303 - 7*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 318*q**6 + 19365*q - 91*q**2 - 19384*q - 8854*q**6 wrt q.\nAnswer: -1024320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34610 divided by -4?\nAnswer: 17305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8*(20\/(-30))\/(80\/(-12))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.1046, 22, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/(-10)*15\/(-6). Suppose k*y + 0 = 12. Let z(l) = 9*l**2 + l - 3. Let a be z(y). Calculate the highest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/13 and 30\/131?\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 = -1. Let w = -28 - -34. List the prime factors of w\/(-6)*(-34 - s).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 3*q + q)*(-320 + 430 + 473) to the form n*q + m and give n.\nAnswer: -1166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8032 (base 12) to base 14\nAnswer: -50a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((2 - -1) + -1)*-1. Let w be 85\/(x\/(-1) + -1). Let r(z) = z**3 + 7. Let m be r(3). Calculate the greatest common factor of w and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = -52 + 4 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 22502.547 months?\nAnswer: 1875.21225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2162*q - 363*q - 132728 - 31397 = 0 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3135*c + 2262*c + 1813*c)*(-3 + 0 + 4) in the form n*c + z and give n.\nAnswer: 7210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -46593 + 9457. Round o to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/17 + 910*q\/17 + 19052\/17.\nAnswer: 2*(q + 22)*(q + 433)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 33. Suppose 3*k = 171 - 153. Let y(n) = -n + 3*n + k*n - 6*n. Determine r(y(j)).\nAnswer: -2*j - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.0000056. What is h rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(3\/7)))\/v*v*v**9*v*v)**(-19\/3)\/((v\/(v**(1\/6)\/v*v*v))**(2\/61))**(3\/13) assuming v is positive.\nAnswer: v**(-1114937\/16653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 36*c**3 - 3*c**2 - 3*c + 4. Let y(u) = 73*u**3 - 4*u**2 - 5*u + 6. Determine -5*b(j) + 3*y(j).\nAnswer: 39*j**3 + 3*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (54\/(-63))\/(14\/10360070). What is y rounded to the nearest ten thousand?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 52*i + 13. Determine r(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**7*x*x**(1\/6)*(x*x**6)\/((x*x**(1\/2))\/x) assuming x is positive.\nAnswer: x**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and 79456800505.\nAnswer: 79456800505.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**3 + 2*g**2 - 2*g**2)*(-5*g + g + 3*g) + 14*g**4 - 4*g**4 - 2*g**4 in the form o*g**4 + k*g**3 + w + l*g**2 + d*g and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-618)\/118450)\/(27\/90).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137619299?\nAnswer: 19, 131, 55291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23650 (base 13) in base 8?\nAnswer: 176430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/56? (a) 4 (b) -4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -34. Let m = -22.9 - n. Let a = -4.9 - m. Sort -13, -2\/11, a in descending order.\nAnswer: -2\/11, a, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*b = -207*b - 232. What is the lowest common multiple of b and 12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - 4*w + 2. Let a(d) = -2*d**2 + 3*d - 2. Let t(u) = -5*a(u) - 4*y(u). Let b be t(2). Let o(f) = -2*f - 4. Give o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2)\/(3\/(-6)). Let q(f) be the first derivative of f**4\/2 + f**3\/3 + f**2\/2 + 7*f + 73. What is the units digit of q(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h + u + 500, -h = u + 128. Let l = 227 + h. Let b = -78 + l. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 312269, 3, -2\/3, -2\/9, 2, 1\/4 in increasing order.\nAnswer: -2\/3, -2\/9, 1\/4, 2, 3, 312269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a + 31. Let g be p(-9). Let m(y) = 14*y**4 + 11. Let r(l) = 29*l**4 + 23. Let z(w) = g*m(w) + 3*r(w). Differentiate z(o) with respect to o.\nAnswer: 68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1035072*f**3 - f**2 - 101*f - 857?\nAnswer: 6210432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 + 5*w**2 + 23*w - 98. Let h(v) = 3*v**3 + 3*v**2 + 24*v - 97. Let p(a) = -4*f(a) + 3*h(a). What is p(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 140304?\nAnswer: -140302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88726 and 814.\nAnswer: 88726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4539 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 3*f + 21. Let r be m(8). Suppose 2*t - 2 = 0, 0 = 5*d - 0*t - 4*t + r. Let k be (-222)\/d - 4\/7. What is the highest common factor of 50 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57035091*d + 30 + 3*d**3 - d**3 + 57035072*d.\nAnswer: 2*d**3 - 19*d + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*j + 48, k + 88*j - 12 = 89*j for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1886888, 3773773, 5660658, 7547543, 9434428, 11321313?\n\"Answer: 1886885*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 8:21 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4698939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.69 - 1.69. Sort 3, v, -2, -6\/13 in decreasing order.\nAnswer: v, 3, -6\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - -14 - -5 - (8 + 0). Suppose -5*n = -2*n - 9. Suppose h*f - 1896 = -3*q, 2*q - n*f - 1259 = -0*f. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 4*s - 3. Let a(l) = -36*l - 465. Let f(n) = -7*n - 93. Let g(t) = 2*a(t) - 11*f(t). Let o be g(-19). Calculate m(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z - 176 = -70*z. Suppose 4*f = -4*l + 2*l - 2, z*f = -l + 3. Put l, 4, 2\/3 in ascending order.\nAnswer: l, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*4*-6 - (sqrt(171) + (sqrt(171) - (sqrt(171) + 4 - sqrt(171))*-2)))**2.\nAnswer: 1248*sqrt(19) + 115660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*h - 4*h. Let s(p) = -p + 1. Let z be s(-2). Suppose -5*d - 2*n + 18 = 0, 2*d + 2*n + 0 = 6. Solve h*r - z*r + d = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i - 26. Let p be v(6). Let f(y) = p*y + 2*y - 3*y - 4*y. Calculate f(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1056 - -1051. Sort -1, 4, 47, k.\nAnswer: k, -1, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (3\/5 - 1). Suppose -5*j - 13 = -a, -j + 91*a = 95*a - 10. What is the nearest to m in 0.2, 0.1, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60.57 + 62.77. What is the nearest to b in -3, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-126)*5\/(-2*45\/36)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 262330?\nAnswer: 262330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10284\/5)\/(17\/(-85)). Is m\/(-20) + ((-1)\/(-5))\/(-1) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose -5*z + 0*z - 5 = 5*l, 4*z = 3*l + s. Suppose 3*o - 6*o + 24 = z. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -57544*n - 42. Calculate m(0).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/35)*k**10*k)\/(k**(-3\/17)*k*k*k**(1\/24)\/k*k) assuming k is positive.\nAnswer: k**(131261\/14280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203065401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 198 + -184. List the prime factors of (-7)\/(153\/280 + (-8)\/r).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/154?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12575588281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) -8 (b) -2\/3 (c) 16 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**3 + 11*i**2 - 11*i. Let k(l) = -3*l**3 + 4*l + 2. Let p(v) = -7*v**3 + v**2 + 9*v + 5. Let z(c) = 5*k(c) - 2*p(c). Determine -2*r(d) - 11*z(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*h**2*j*o**2 - 29*h**2*j*o - 2*j*o + 2*j + 9*o**2 wrt o?\nAnswer: 94*h**2*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.02 + -3.02. Let z(x) = x - 1. Let u be z(5). Suppose -n = -4*q + 7 + 2, 5*q = u*n + 14. What is the nearest to n in 3, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 28 = -4*r, -2*l - 2 = 5*r + 12. Let x = -4 - r. Factor 1\/4*m**3 - 1\/4*m + 1\/4*m**2 - 1\/4*m**4 + x.\nAnswer: -m*(m - 1)**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - (7 + -2))*6\/8. Let b = 31 + -17. Suppose -44 + b = -6*v. Solve 0 = 3*p - v*c + 17 + 5, -4*c = x*p - 23 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1*(-5 - (4 - 548)). Is -0.1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9424 - 5040 - 1443)*(7*s - 1 - 6*s - 1 + 1).\nAnswer: -15907*s + 15907","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000241697 rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11222000 (base 3) to base 16\nAnswer: -e22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10654, -10650, -10644, -10636, -10626, -10614?\n\"Answer: p**2 + p - 10656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -1.1, -0.3, 129, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.13\nAnswer: 0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -387 + 179 + 5*o**3 + o - 2*o**3 - 407 + 0*o to m + w*o**2 + q*o**3 + x*o and give m.\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25853, 25846, 25839?\n\"Answer: -7*j + 25860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2\/105)*s)*s)**(3\/2)\/((s*s**27*s*s)\/(s\/(s*s*s*s**11*s*s*s))) assuming s is positive.\nAnswer: s**(-3113\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 = -6. Is p*(-2)\/(4\/286) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -5345?\nAnswer: -5353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 4, y: 1, d: 3, w: 2}. Give prob of picking 1 w and 1 d.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*40\/3. Let v be ((-16)\/c)\/((-6)\/(-15)). Suppose -2\/13*p**v + 4\/13*p - 2\/13 = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23350000 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3117168, 6234302, 9351428, 12468546, 15585656?\n\"Answer: -4*b**2 + 3117146*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 782*t**2 - 3201*t**2 + 850*t**2 + 777*t**2 + 789*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 385148251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182800710?\nAnswer: 2, 3, 5, 19, 53, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 940919.2l?\nAnswer: 940919200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809263 is divided by 404582.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*g, 4*g - 63107 = 36*s - 39*s. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46039.\nAnswer: 7, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*z = 225*z - 8322. Find the second derivative of -1386*n**2 - 27*n**5 - 2 + n + z*n**2 + 2*n wrt n.\nAnswer: -540*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**3 + 56*t + 94. Let f(a) = -2*a**3 + 19*a + 32. Let p(h) = 16*f(h) - 5*s(h). What is the first derivative of p(j) wrt j?\nAnswer: -6*j**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55197?\nAnswer: 3, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397067992?\nAnswer: 2, 49633499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*p**2*v**3 + 136*p**2*v + 3482*p + 5*v**3 + 2*v**2 wrt p?\nAnswer: 478*v**3 + 272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3\/5 + 12816*d**2\/5 + 1647608*d\/5 - 1359072 = 0?\nAnswer: -130, 4, 6534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 25*t + 6 = -2*r, 3*t - 15 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 25508?\nAnswer: 408128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4401 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35746, -43216, -50686, -58156?\nAnswer: -65626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 624983 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**3 + 7*y + 47 - y + 2*y**2 - 7*y - 45 + 166*y**4 - y as x*y + n*y**3 + o + j*y**4 + f*y**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u**2 + u. Calculate d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 l, 1 a, and 1 f when four letters picked without replacement from uifaleu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/7 + 64264*m**2\/7 + 516425450*m\/7 + 3096239628\/7 = 0?\nAnswer: -16063, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*(-3 - 11\/(-3)). Suppose j - n = -j - k, -k - 14 = -2*j. Let l(f) = -f + 3. Determine l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/30)\/((-2)\/15). Let o = -11.9 - -12. Which is the nearest to -2? (a) -4 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 - 9.3509991\nAnswer: -137.3509991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*w**3*y - 35*f**2*w**2*y - 6511*f**2*w**2 - 2*f**2*y - 59821*f*w**3 + f + 24*w**3*y - 2 wrt w?\nAnswer: 12*f**2*y - 358926*f + 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*h - 5 = -153*h + 3*l, 5*h + l = 25. What is the second biggest value in -5, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.4405 hours in nanoseconds?\nAnswer: 1520785800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 5 + -1 + sqrt(162) + sqrt(162) - 5*(sqrt(162) + sqrt(162)*-1))*3)**2.\nAnswer: 1944*sqrt(2) + 13266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -36, 23, 100, 201, 332, 499, 708?\nAnswer: 965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10958436 divided by -2739609?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-260)\/2275)\/(20\/(-14)). Which is the second biggest value? (a) -0.06 (b) n (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let q(u) = -1692*u + 2762. What is d(q(r))?\nAnswer: -1692*r + 2762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = 0, 0 = 4*o + 4*d - 121 + 33. Suppose 5*t = -o + 25. Sort -5, -2, t, -3.\nAnswer: -5, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -47, -104, -185, -290, -419?\n\"Answer: -12*l**2 + 3*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482379 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2519448 and -71\/2712?\nAnswer: 2519448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**5\/10 - k**3\/6 - 46*k. Calculate x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-43)*i)\/((i\/(i**44\/i))\/i*i)*((i\/(i*i**(-25)*i*i*i))\/i)**(-1\/35) assuming i is positive.\nAnswer: i**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - 0. Let v = s - -19.1. Let l = 6 - 3. Which is the closest to v? (a) 2\/3 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(-n**2 - 4*n**2 + 2*n**2) + 0*n**2 + 2*n**2 + 8*n**2)*(29*n + 185 - 185).\nAnswer: 116*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 - 9)*(1 - 1 + f) - 1327*f + 6 + 1333*f + 17.\nAnswer: -11*f + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905368 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 2:00 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, -1, 3, -296, 13.\nAnswer: -296, -5, -3, -2, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 10*w**2 + 5*w + 4. Let u be m(-7). Let s be 4 - (-12929 + -2)*u. Round s to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 - r - 109 + 57 + r**3 in the form h*r**3 + x*r**2 + n + m*r and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136 * -2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 26 - 18. Let c(w) = -w**3 - 1. Determine c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10 = 3*c, -7*c + 5*v = -3*c - 15. Find the third derivative of 9*i + 14*i**3 + 17*i**2 - c*i + i wrt i.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**3*u**2 - 2*k**3 - 57*k**2*u + k**2 - 24*k*u**2 + 77*k*u - 2 wrt k.\nAnswer: 18*k*u**2 - 12*k - 114*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -392.6 to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -4. Let c = 1 - 0.7. Let a = 7 + -12. What is the nearest to 0 in c, d, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 491716 divided by 245858.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3449*r + 397*r - 703*r)*(-2 + 4 - 1) to n*r + h and give n.\nAnswer: 3143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106650 (base 13) to base 3.\nAnswer: -201120212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhqhhhhhhhhqhhqqh. What is prob of picking 3 h?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1238949.26 and -3.\nAnswer: -3716847.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133360.878 hours in weeks?\nAnswer: 793.81475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/(44\/132)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19399 - -43000. List the prime factors of a.\nAnswer: 3, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*m - 9*m - 4, -8 = 4*m - a. Let y(j) = j + 3. Calculate the smallest common multiple of (44 - (-3 - m)) + (-2)\/2 and y(5).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 750\/(-50)*((-120)\/1200)\/((-2)\/(-52))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4 + 25*h**3 - 20*h**2 = 0 for h.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 903.07 - 908. Let z = 0.07 - f. Which is the second biggest value? (a) -3 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 2. Let x be (-1 - 0) + (-2 - (-3)\/3). Determine r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 311308? (a) -8\/7 (b) 3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 5. Let c(a) = 1. Determine -9*c(x) + 2*u(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 747014 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*s - 123431 = -125896 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -191662, -383315, -574958, -766591, -958214?\n\"Answer: 5*j**2 - 191668*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 66*j = 62*j + 30, 4*j - 16 = -2*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Let c be (-1)\/3 - (2 - (-8972)\/12). Let a be ((-41600)\/(-6) - w)*c. Round a to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124344222 + -2?\nAnswer: 124344220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5365, 5353, 5329, 5287, 5221, 5125?\nAnswer: 4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 21960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 505 = 17*c - 275 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4617\/(-2565))\/(18\/(-350))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.69 and 603.22.\nAnswer: -8258.0818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3817*r + 3829. Let n be p(-1). Let d = -0.5 - 1.5. Which is the second smallest value? (a) n (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -365, -0.21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (171\/(-6) - 2)*-2. Let l be 9\/(6\/(-63) - (-80)\/336). Let i = l - c. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*(-9 + -5 + 8). What is the first derivative of -g**x - 239*g**3 + 239*g**3 + 259 + 39*g**4 wrt g?\nAnswer: 152*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 701.9nm?\nAnswer: 0.0000007019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 17*b - 506. Let h be r(30). Let m(g) = -g**3 + 5*g**2 - 3*g - 3. Let t be m(4). Suppose 2*c - t - 9 = 0. Solve c*k - k = h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -18*s**3 - 7*s**2 + 33*s + 54. What is the ten thousands digit of c(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (10\/(-90) - (-3382)\/1197).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4855, 9446, 13567, 16984, 19463, 20770, 20671?\n\"Answer: -39*u**3 - u**2 + 4867*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 648.6 and 94?\nAnswer: 60968.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - 4418. Let h(y) = -2*y**2. Calculate k(h(c)).\nAnswer: -8*c**2 - 4418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9197 divided by 107.\nAnswer: 9197\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -57*x + 3. Let m be s(-4). Suppose -2*b = -c + 3*b + 77, -b + m = 3*c. What is the remainder when c is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -309*a**3 - 2471*a**2 - 3700*a + 12 = 0.\nAnswer: -6, -2, 1\/309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9655691119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -400, -408, -418, -430, -444, -460?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -5215*k**4\/12 - 2510*k**2 + 1666*k. Differentiate l(u) wrt u.\nAnswer: -10430*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 - 1. Let j be t(-2). Let i = j + -24. Sort 5, -1\/4, i in ascending order.\nAnswer: i, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(507\/364) - (0 + -2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 3 - 3 + 0*q + 0*q + 2*q + (-5 + 5 - 2*q)*(0 - 2 + 0) - 4*q + 5*q + 5*q + 2*q - 1 + 1)*(-q + q - 3*q) in the form i*q**2 + w + a*q and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107)\/28 - (-92)\/161.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, n: 2, g: 2}. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 381343.9 years in millennia?\nAnswer: 381.3439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 120. What is d(37)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**3 + 19*x**2 + 40*x - 57. Let s(y) = -3*y**3 + 5*y**2 + 10*y - 14. Let b(m) = -2*o(m) + 9*s(m). Give b(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - w**2 + 16 - 16)*(-1 + 1 - 2*w)*(-2 + 2 - 3*w) as c*w**2 + q*w**3 + b*w**4 + y + l*w and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-4 + 1) + 11. Suppose 3*i - y = 4*x, -4*i + x - 4*x = 31. Let w = 15 + i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c - 1212 = -1056. Let n(h) = 2*h**3 - 4*h**2 + 6*h. Let g(r) be the first derivative of -r**4\/4 + r**3 - 3*r**2 + 14. Give c*n(i) + 4*g(i).\nAnswer: 2*i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -415615, -415617, -415619, -415621?\n\"Answer: -2*g - 415613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 760272301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, c: 15}. Give prob of sequence cc.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1040 and 2135?\nAnswer: 444080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 0, 6*d - 3*d - 15 = 5*w. Let o(s) = s**3 + 2*s**2 - 3*s + 1. Calculate o(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**3 + 4*b**2 - 2*b. Let n(w) = w**3 + w**2 - w. Give -g(x) + 4*n(x).\nAnswer: 9*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36848 and 17202000.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124730624*j**5 + 93009311*j**2 + 2*j wrt j.\nAnswer: 7483837440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103708\/15 + 6914. Which is the closest to y? (a) -3\/4 (b) -2 (c) -4\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67081, -67078, -67075?\n\"Answer: 3*b - 67084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 7*g**2 - 9*g + 10. Let c be v(-5). Suppose -b + 5*b = 0. Solve -d = -c - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -1 (b) -337 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = -0*x. Let d = 5 + -6. What is the remainder when 24 is divided by (-18)\/d + (-7 - x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 5*c + 0 + 1\/3*c**3 + 3*c**2. What is the tens digit of x(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 5:57 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8\/25 of a meter?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s - 1. Let y(f) = 1. Let i(o) = -16*o. Let x(a) = -i(a) + 3*y(a). Let u(h) = 5*k(h) + 2*x(h). What is u(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/287, -6, 1\/4?\nAnswer: 1\/287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 134, 311, 558?\n\"Answer: 35*q**2 + 2*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -40 + 70*x - 113*x + 57*x. Calculate the remainder when 76 is divided by m(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3)*-1)**2 - (sqrt(6)\/sqrt(2) + 0).\nAnswer: -sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15277.\nAnswer: 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5, -373.4, 1 in ascending order.\nAnswer: -373.4, -5, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 630 and 458280?\nAnswer: 3207960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 3*h**2 - 5*h + 4. Let j = 23 + -20. Determine o(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 61\/2 of a milligram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 31 = -4*v, -2*m + 4*v = -29 + 3. Solve -4*n + 5 = -m*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 585, 866, 1149?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/25410 and 10\/459921.\nAnswer: 4599210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-136)\/(-4)*(117 + (-1)\/(-3)*3).\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 7*d**2 - 6*d + 47. Let t be f(7). Solve 2*s - t*j + 5 = 0, 0 = -2*s - 0*j + 2*j - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 273864, -5 in decreasing order.\nAnswer: 273864, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - f - 1. Let t be q(-1). Is 2\/(-2) + (t - -129) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 16 = -0*o + 5*o + 6, -2*o - 37 = 4*t - 41 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - -2 - 0) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.74, 56, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - q = 0, 6*j + 3*j + 2*q = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 281.814.\nAnswer: -281.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - n**2 - 5*n**2 - 1 + 0*n**2 - 201*n.\nAnswer: -8*n**2 - 201*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2165 + 4689. Let j = -20261\/8 + y. Find the common denominator of 133\/36 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110988.\nAnswer: 2, 3, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**4 + q + 5*q**2 + q**3 + 15*q**2 - 21*q**2 to i*q**3 + d*q**2 + o*q**4 + l*q + j and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2 + 5*c - 10. Let d(n) = -30*n**2 - 24*n + 48. Let o(l) = -5*d(l) - 24*w(l). Let m(j) = -460*j**2 + 226*j**2 + 286*j**2. What is o(m(x))?\nAnswer: 16224*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*d + 11577, 3*d = -0 - 3. Let a = h - -115767\/20. Find the common denominator of a and 1625\/400 + 3*-1 + -1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 13*n + 17. Let u be m(-12). Suppose -4*a + 7 = c - u, -c = -2*a. Let 0*w**a + 0*w**4 + 0*w - 1\/3*w**5 + 0*w**3 + 0 = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 - 8*p**2 + 47*p - 39. Is z(-32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**6\/105 - b**5\/140 + b**4\/84 - 22*b - 23. Let x(w) be the first derivative of l(w). Factor x(i).\nAnswer: -i**2*(i + 1)*(2*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 19, 934.\nAnswer: -53, 19, 934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540898 divided by 1.\nAnswer: 540898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45741 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -696*p + 18789. Calculate l(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3833.2761 rounded to the nearest 10?\nAnswer: -3830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26967733, -53935472, -80903211, -107870950, -134838689, -161806428?\n\"Answer: -26967739*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from {x: 2, u: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212080.53 months to centuries.\nAnswer: 176.733775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Suppose i + i + 8 = j. Is (22\/i)\/(1\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4249, -17679, -40073, -71437, -111777?\nAnswer: -161099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 + k**2 + 2*k + 1. Let j be u(-1). Sort 5, j, -2 in decreasing order.\nAnswer: 5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 + 720.05.\nAnswer: 729.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135306*q**3 - 461087*q**2 wrt q.\nAnswer: -811836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 389522 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10434*c - 10430*c + 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067601366 to 7 decimal places.\nAnswer: -0.000676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 81\/6*(-1 - 1). Let i = p - -43. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (35552 + 83*o - 35552)*(3 - 2 + 0)*(0 + 1 + 1) in the form r*o + n and give r.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21188.8 + -21226. What is the nearest to -1 in -4\/3, 3\/11, b, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 5 + 6)*(3*g + 4*g - 4*g) + (g + 2 - 2)*(70 + 494 - 6) in the form m*g + f and give m.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -16*r**3 + 820*r**2 - 1772*r + 392 = 0?\nAnswer: 1\/4, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 42. Calculate the common denominator of (-29)\/18 - t\/(-6) and 61\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p = 18. Suppose 51 = p*y - 9. Determine l so that 4*l - 20*l - 2*l**2 + 2*l**2 + y*l**2 - 2*l**3 + 8 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 1 = 11. Let g be (0 - k)*15\/(-6). Suppose 4*i + 0*i = -2*m - 2, 2*m - g*i + 20 = 0. Let d(z) = -z**2 - 5*z - 5. Give d(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -2*q + 45. Let n = -2.75 - 0.75. Let h = 3.5 - n. Do q and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 20 = -24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 9 + 4268*s + 28 - 14.\nAnswer: 4268*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 10*w**2 + 10*w - 10. Let h be i(-9). Let l = -12 - h. Suppose 1440 = -4*f + l*f. Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20989540 divided by -25597.\nAnswer: -820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588105945 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-26) + 282\/(-546)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 455 and 163150?\nAnswer: 1142050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1610 + -1610. What is the closest to -8 in -1\/2, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/15 - 5*w**4\/18 - 17*w**3\/9 + 20*w**2\/3 - 20*w - 5. Suppose v(r) = 0. What is r?\nAnswer: -5\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418*((-45)\/(-162) - 2\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/((-4 - 0)\/(-60)). Suppose -i = -4*d - 3*c, 5*d - 3*c - 60 = 4*d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/3*27\/(-30)*1820\/210.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m + 10 = 0. Let y = -5\/2 - m. Which is smaller: y or -0.05?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 31, -1\/784, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 337463380 a multiple of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2524 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13 + 8 = -2*v, v = -4*g + 17. Let n = v + 3. Factor 3*m**3 - m**5 - 3*m**5 + m**5 + n*m**3.\nAnswer: -3*m**3*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2377 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.38 and -0.3056695099?\nAnswer: 0.0743304901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:44 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 662*p**2 - 27*p + 92. Is b(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101041 + -33?\nAnswer: 101003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 9*t**2 - 2*t - 10. Suppose -2*v - 5*q + 6 + 8 = 0, q + 28 = 4*v. What is the units digit of d(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1210) + (sqrt(1210) - (sqrt(1210) + sqrt(1210)*2 - sqrt(1210))))\/(sqrt(56)\/sqrt(7) + sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-2)\/20*-8\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {c: 4, r: 6, q: 7}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odo when three letters picked without replacement from oooooooodoodooooodoo?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(100\/(-174))*(-17460)\/10476\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6443*z + 88857. Give y(14).\nAnswer: -1345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + -22 + 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 2725?\nAnswer: -2722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 830, 2185, 3540?\nAnswer: 4895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29688609*r**2*s**3 + 3*r**2*s - 3*s**3 - 29*s**2 - 24*s - 2592 wrt r?\nAnswer: -59377218*r*s**3 + 6*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -202497.40078 + 202405.4. Let v = -92 - h. Round v to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-35))\/(7\/((-140)\/12))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9516.\nAnswer: 2, 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1 - 2 - 2 + r + 6. Let c(v) = -4. Determine -c(q) - 2*u(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -45. Calculate the remainder when 87 is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*g - w, 9*g - 13*g - 9 = 3*w. Suppose -2*f - 15 = -7*f. Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1290972*p - 1282634 wrt p?\nAnswer: 1290972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -836 by 76.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3*(sqrt(66)*1 + sqrt(66) + sqrt(66)))\/(sqrt(54)*-4 - sqrt(6)))**2.\nAnswer: 891\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1031020320 + -213?\nAnswer: 1031020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1. Let k(f) = 11*f + 2. Give -k(i) - 2*v(i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-234)\/8541 - 108480\/(-73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/349, 1, 3, -0.2075, 2?\nAnswer: -12\/349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7999708, -31998816, -71997328, -127995244?\n\"Answer: -7999702*a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-3 - 5)) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 771769 times -0.233?\nAnswer: -179822.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 397, 595, 793, 991?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 - 18 = 0. Suppose 7*r - 6*r = n. Suppose 3*g - 43 = r*y, 0 = g - y - 3*y - 19. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -114488.\nAnswer: -49\/57244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1849 + -1674. Calculate the smallest common multiple of z and 56.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 67. Suppose -5*q - 7 = -2*k, k - 2 + 1 = m. What is the tens digit of 2*q\/(-1)*31?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 259413 or 259415?\nAnswer: 259415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 120539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 4 + 4 + (-3 + 5 + 1)*(3*i - i + 0*i) + (0*i - i + 0*i)*(-2 + 2 + 2) + 0*i + 2*i - 4*i + 2*i + 2*i - 3*i + (0*i + 2*i - 3*i)*(4 + 2 - 5).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2105 in -0.5, -3\/2, 21, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 39, -0.915?\nAnswer: -0.915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 533, 522, 511, 500?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-275)*-10 + ((-768)\/405)\/4.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 2*b - 0*b + 9, x + 4*b + 17 = 0. Let d be ((-1)\/(-4))\/(150\/(-8)). Let v = d + -44\/75. Put v, x, -2\/9 in descending order.\nAnswer: -2\/9, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24178, -48276, -72374, -96472?\nAnswer: -120570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7778*a**2 + 12*a - 9. Let u(j) = 141162922*j**2 + 217784*j - 163338. Give -54446*r(y) + 3*u(y).\nAnswer: 7778*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*h + 30, -4*b = 3*h - 3*b - 45. Suppose -h = -4*u + 1. Suppose 32 = 5*x + 3*x. What is the least common multiple of x and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -469867\/2 - -234937. Let 0 - 1\/2*u**5 - 3*u**2 + 0*u + i*u**3 + 0*u**4 = 0. Calculate u.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t + 4*o, 5*t - 17*o + 5 = -14*o. Let b be 3 + (-3 - 3\/(9\/6)). Sort t, b, 18, -3 in ascending order.\nAnswer: -3, b, t, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9*o - 5. Let q be g(-6). Suppose 376 = -2*i + 6*i. Let f = i + q. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/66336 and -5\/8292.\nAnswer: 66336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-185)\/(-2960))\/(3 - (11\/(-11792) - -3)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 726 = 4*n - 4*k + 706, -4*k - 20 = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 - (0\/1 + 1). Let z be ((-4)\/6)\/(14\/(-21)) - 137. Let w = z + 208. What is the greatest common divisor of w and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0192149744 rounded to 5 dps?\nAnswer: 0.01921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 158*o**2 - 3109*o + 63. Calculate x(23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -73.71. Let k = -41 + 41.2848. Let x = l + k. What is x rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 861648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1997*u + 7778. What is i(-4)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(-3)*14*-70?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*m + 52*m + 43*m - 138*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*x + 340*x - 142518543. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6977*f**2 - 3731*f wrt f?\nAnswer: 13954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y + 2*y)*(1 - 2*y - 1) - y**2 + 3*y - 3*y + 1 - 3511*y - 89*y**2 + 286*y**2 - 195*y**2 + 0 + y**2 + 0 to v + b*y + h*y**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 30 + 31 - 93 + 32.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62800 and 5.\nAnswer: 314000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 209239148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5510 and 1187310.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 106941362, 106941359, 106941356?\n\"Answer: -3*a + 106941365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1480 - -1477.14. What is s rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 865348.7g in tonnes?\nAnswer: 0.8653487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5178124 is divided by 760.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -8 + (3 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-1419)\/(-21) + 99\/231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3 - 2342*u**2 + 11685*u = 0 for u.\nAnswer: 0, 5, 2337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*f**2*p*y + f**2*y - f + 6*p*y - 3*y + 4 wrt f?\nAnswer: 118*p*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 1076339?\nAnswer: 9687051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*d**2 + 211345543 + 132*d**2 - 211345543.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -748c (base 13) to base 4.\nAnswer: -3330223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 0*z + 0*z)*(-9 - 3*z**2 + z**3 - 2*z**3 + 6).\nAnswer: -3*z**4 - 9*z**3 - 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-1 + -8))\/8\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1017835 and 793520.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 11:09 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 3*o - 1471 + 1497, -5*o = r + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -573 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-7 + 1 + (-23 - (-41 + 41)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6780, -6843, -7022, -7377, -7968, -8855, -10098, -11757?\nAnswer: -13892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2. Let d(z) = -z + 11. Let t be d(11). Suppose t*h + 4*h = 8. Let y(o) = 6 + o**h - 6 + 0. Determine y(p(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**2 + 2*y - 1. Let u be a(-2). Calculate the common denominator of -8\/93 and 52\/(-66) + (u - -39).\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*y = -40, -2*j - 3*y = 66 + 19. Suppose -5*w - 2*u = 15, 4*w - 3*u - 13 = -2. Let s = w - j. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097009.\nAnswer: 1097009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*n = -2*t - 46*n - 13, -5*t - n = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -4\/63, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195 - -194) + (0 + -16 - (-3 + 6))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 10*z**2 + 11*z + 12. Suppose 0 = 61*m - 56*m - 5*c + 60, 2*c = -2*m - 12. Determine o(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*y + 21, -3*w - 5*y = -29 - 1. Solve -2*n + r = -12, r + 7 = -2*n + w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/159 + 2590\/3657. Suppose -8*s + 6*s + 4 = 0. Is s <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/45*135\/6. Suppose d = 7*i - 17. Suppose 7*y = 4*y + 3*q - 6, -22 = y - i*q. What is the greatest common factor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-2 - -2) + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3286*b - 4018*b + 272829 - 272827 as j*b + f and give j.\nAnswer: -7304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25503491 is divided by 41?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896114778.\nAnswer: 2, 3, 13, 17, 41, 53, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5966 divided by 157?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 94425*k - 94425*k - 54*k**2 - 2144*k**4 wrt k.\nAnswer: -51456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-30) + (-9)\/(-15). Is 10 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(1\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2728*f + 5. Is h(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3216936 by -3.\nAnswer: -1072312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38070 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -290? (a) -3 (b) 0.37 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.141 times -7.1?\nAnswer: -121.7011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*u**3 - 5*u + 1 + 8*u**3 as w*u**2 + q + r*u + c*u**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 11. Let w be 1*(6\/(-2))\/(-3). Let s be 3\/4 + w\/(-4). What is the nearest to 0 in s, 5, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 287, 285, 283, 281, 279?\n\"Answer: -2*j + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 7 + 723. Let s = 598 - m. Suppose -2*k = 3*l - s, 0 = -4*k - 3*l - 0*l + 1065. Calculate the highest common factor of 54 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2.6. Let o = -3381\/4 + 846. Which is the nearest to -0.1? (a) o (b) p (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Suppose 3*o = 3*t + 6 + 9, -10 = o + 4*t. Let x(r) = 2*r + 0*r**2 + r**o + r - 2*r**2. Let f(c) = 2*c**2 - 2*c. What is u*f(m) + 2*x(m)?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 3. Suppose 2*r - 15 = -r, -3*r - 37 = -4*f. Suppose f*a = 8*a - 225. Let v be ((a\/(-10))\/9)\/(1\/(-10)). Calculate h(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - f**2 - f**2 + (2 + 2*f**2 - 2)*(-3 + 3 - 2) + 51 - 51 + 6*f**2 - 6*f**2 - f**2 + f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163691 or -164225?\nAnswer: -164225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134*(6\/(-6))\/(-1) + 1 and 45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0697 + 528.9303. Let j = 509 - v. Is j less than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = -11*o. Which is greater: 2\/2641 or o?\nAnswer: 2\/2641","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 7*p - 4. Let k be s(8). Suppose 2 + 2 = -2*l. What is the units digit of l\/k + 15\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhgweggkk. Give prob of sequence hk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbhbbbhhbbhbbb. Give prob of picking 4 h.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -15 + (-1 - -2) + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 1024 = 254*c + 1104 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -352 + 353. Which is smaller: -1\/9 or a?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102 + 102 - 28*i)*(2 - 2 - 1).\nAnswer: 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12718677.\nAnswer: 3, 67, 63277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 23719057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 72*n + 6. Let i(l) = -74*l - 6. Give 3*i(p) + 2*t(p).\nAnswer: -78*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b - 65. Let l(r) = -2*r**2. Calculate i(l(m)).\nAnswer: 10*m**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(16)*-2*4)\/(2*2*sqrt(512)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 74.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27\/5, -89, -1\/6, 22, -0.9, 0.1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5071 (b) -2\/3 (c) 0.2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 512 (b) -10 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3818 and 27556.\nAnswer: 633788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-160)*-295 + (-21)\/28. Solve 44*a = k*a + 30 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-5))\/(27\/(-45)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -5*j**3\/6 + 15*j**2\/4 + 10*j - 65. Factor f(u).\nAnswer: -5*(u - 4)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1177105 (base 8) in base 12?\nAnswer: -139459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1582167 is divided by 2768?\nAnswer: 1639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 282 = -126*i - 1075 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2)\/(b*b**1))\/((b**3\/b)\/(b\/b**(-3))))**1)**(-4\/25) assuming b is positive.\nAnswer: b**(8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Let h = 0.08 - -0.12. What is the nearest to 0 in -2, h, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16860793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 5*i**2 + 18*i + 7. Let n be u(-10). Let l = 448 - n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162023220 a multiple of 1143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydyk when four letters picked without replacement from dykkyyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/6)*d)**(1\/8)*d**8*d*d**15\/d assuming d is positive.\nAnswer: d**(1111\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxzzzzzx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 45*r - 47*r - 7, 4*r = -8*d - 44 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 y when three letters picked without replacement from adaadjjjjdkyjjdj?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 73*u**4\/24 + 6*u**2. Let q(k) = -k**2 - 4224*k + 4224*k. Give l(q(s)).\nAnswer: -73*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/(-10))\/((-6)\/(-16)). Let m = -2 + u. Suppose 0 = -8*p - 0*p + 16. Solve p*s - 8 = -m*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -377*a - 183. Give q(0).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7352 - -5210.2648. Let m = h + -5211.000004898. Round m to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (10 - -3 - (10 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 20. Suppose -4*s = -51 - g. What is the greatest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + 5*m**5 - 3*m**5 + (32*m**3 - 6*m**3 + 19*m**3)*(-m**2 - m**2 - m**2) - m**5 - 2*m**5 + 4*m**5.\nAnswer: -135*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2. Let o(v) = 6*v**2 - 4. Let j(b) = -b**2 + 1. Let f(n) = -12*j(n) - 3*o(n). What is f(t(a))?\nAnswer: -96*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69092)\/40 - (1*-1)\/(450\/135). Is l at most -1728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28136\/1205 or 22?\nAnswer: 28136\/1205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqd when three letters picked without replacement from rdgrgqhhrgg.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Suppose 0 = 2*x + 11 - 19. Let h(s) = -3 - s**2 - 2*s**2 - 1 + 5 + 3*s + x*s**3. Let w(a) = a**3 - a**2 + a. Calculate u*h(l) + 3*w(l).\nAnswer: -l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-5)\/a))\/a**(-7\/3)*(a**(2\/3))**(-2\/15) assuming a is positive.\nAnswer: a**(461\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 1 - 5 - 5 - 313*a**2 to p*a + x*a**2 + t and give x.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {t: 4, d: 1, b: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 163 or -12?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -9*u + 4*u - 3*w, -u + 4*w = -3. Suppose 3*x = 4*n + 7, -3*x + 14 = -u*n + x. Find the second derivative of 5*l**4 + 2*l**4 + l + n*l wrt l.\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 208*h**2 + 5*h**3 - 87*h**2 - 20*h**2.\nAnswer: 2*h**3 - 315*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 638 and 3564?\nAnswer: 103356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2073.176201*-2\nAnswer: 4146.352402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -131 + 131.000348. Round x to 5 dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 764 - -b2d?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (-19 - -3) - (-17 + 8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**5\/20 - 2*h**4\/3 + 7*h**3\/6 + 4*h**2 + 2*h. Is a(-9) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 3*s**2\/2 + 2*s + 5. Let g(i) = 8 + 2 - 20 + 8 + 3*i + 5. Suppose -3 = -k - 1. Give k*g(m) - 3*n(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.15 - -846387414.\nAnswer: 846387425.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/3 + 235*z**4\/3 + 154*z**3 - 934*z**2\/3 - 463*z\/3 + 233 = 0 for z.\nAnswer: -233, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = o + 24, 2*r + 2*r + 2*o = 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + p)*(117014*p**2 + 589*p**4 - 117014*p**2) + 0*p**5 + 2*p**5 - 4*p**5.\nAnswer: 587*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 2. Suppose 5*z = -7 + 32. Let p = -2 + 1. Let g(q) = -q. Let l(r) = p*b(r) + z*g(r). What is the derivative of l(x) wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/(98974\/14139 - 7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {v: 5, p: 8, f: 4}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 114. Let w = h - -92. Which is the biggest value? (a) -3 (b) w (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Factor -6*d**2 + d**v + d + d**3 + 3*d.\nAnswer: 2*d*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 9:35 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 112\/((-40)\/(-5))*10. Solve 4*c - 128 + h = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -5, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3649325553.\nAnswer: 3, 17, 73, 326737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -78 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 930 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1824 is divided by 458?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/130)\/((138\/20)\/(-23))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1433 (base 15) to base 6.\nAnswer: 32003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10010909543*m - 59 + 59 + 10010909531*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, s: 9}. Give prob of sequence kss.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/543144 and 65\/53424?\nAnswer: 3258864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 4. Let k(c) = c + 15. Let h be k(-13). Let v(q) = q - 5*q - 9 + h*q - 7*q. Calculate 2*v(r) - 5*w(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3946)\/(-6))\/(64\/192)?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*d**4 + 47292*d**3 + 3035791?\nAnswer: 52*d**3 + 141876*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2301713 to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*o - 33*o + 5*o - o in the form c*o + v and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -19. Put 0, 17, h in descending order.\nAnswer: 17, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -361*q + 732*q - 5*q**3 + 6*q**2 - 365*q - 2. What is the remainder when o(-3) is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (20 + -8 + -7 + -2 + 2 + -36).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 5 (c) -1\/12 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 z when four letters picked without replacement from {h: 5, v: 4, z: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -13143000 to the nearest 100000.\nAnswer: -13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - t)*(t**2 - 4*t**2 + t**2) + 4 - 11*t**3 - 4 + (-t**3 + 0*t**3 + 4*t**3)*(-4 + 6 + 0) + t**3 - 3*t**3 + 0*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9615 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5271*t - 10536*t - 40*t**2 + 5267*t + 16*t**3 as s + q*t**2 + z*t**3 + l*t and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54388615 and 391285.\nAnswer: 54388615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 23, -155 in descending order.\nAnswer: 23, 5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4611905 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166 - -167. What is the second smallest value in -1\/8, t, 0, -9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5\/3 + 4*v**4 - 140*v**3\/3 - 1400*v**2\/3 - 1250*v - 2500\/3 = 0.\nAnswer: -5, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**3 + z**3 - 19604*z + 19604*z + 6*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 17 = -2*h + 3*a, 0 = 5*a + 15. Suppose -5*u + 0*u + 4*s = -h, -u - 4 = -5*s. Calculate the smallest common multiple of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120221010 + -1?\nAnswer: -2120221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -334916\/5176293 - -66\/5443. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**3 + 8*p**2 - 10*p + 14. Let g be t(6). Let f(z) = -g + 1106 - 3*z**2. Let y(u) = -7*u**2. Give f(y(d)).\nAnswer: -147*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 5:53 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b*q*t**2*x - 406*b*q*x**2 - 171*b*x + 3*q*t**3*x**2 - 2*q*t**3 + 466*q*t*x - 459*q*x**2 wrt x?\nAnswer: -812*b*q + 6*q*t**3 - 918*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -122*z + 100 - 215 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000503 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/((-13292)\/628047)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 47. Let q(z) = z**2 + 11*z + 8. Calculate the remainder when l is divided by q(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 9 in decreasing order.\nAnswer: 11, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(432) + sqrt(3))**2 + 3.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vslssmfs. Give prob of sequence smlv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110772260 divided by -2?\nAnswer: 1055386130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 443394 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5975701115 to the power of 1\/2, to the nearest integer?\nAnswer: 77303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = a. Suppose 0 = 5*g - 8 - 2, -4*g + 98 = a*f. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.2, -877, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -0.8, -2\/5, -83 in descending order.\nAnswer: -2\/5, -0.8, -42, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5494029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -205, 2, 68, 5 in ascending order.\nAnswer: -205, -3, 2, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b - 7. Determine g(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.97 times -42.6075?\nAnswer: -83.936775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3 + 35. What is the thousands digit of -7 - l - (-3129)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/2582 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3880452 + 110532783?\nAnswer: 106652331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlnlgdjlnnag. What is prob of sequence djl?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m - 3*l = -44, 3*l = -12. Suppose 141*o + m = 139*o. Is o less than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2910)\/9700 - 362\/(-1340).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -605 + 1106. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, -4, -7, -2, 17, 56, 121?\n\"Answer: o**3 - 5*o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570223 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from eeeseseeeeeeeese.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(133\/28))\/((-1260)\/(-1440))?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344793571323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/3 - 88575128*n\/3 + 980694162527048\/3 = 0.\nAnswer: 22143782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13987 + 6979 + 7008 - 26680*i.\nAnswer: -26680*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/89, 2\/19, -2, 3, -0.5, 18 in decreasing order.\nAnswer: 18, 3, 2\/19, -1\/89, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 0.89?\nAnswer: -0.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 7*y - 4*r + 50, 27*y + 44*y - 71*y = -4*r - 20 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4\/7, 3\/8, -4, 7\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.89 - 4.89. Put 12, a, 2\/7 in decreasing order.\nAnswer: 12, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/13 - 2232*x**2\/13 + 77784*x + 1262204672\/13 = 0. Calculate x.\nAnswer: -926, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19388189*w**2 - 3821740 with respect to w.\nAnswer: 38776378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12074, -12068, -12070, -12086, -12122?\nAnswer: -12184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36542473?\nAnswer: 11, 3322043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -14. Suppose 7*m = 2*m + 10. Is r greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x + 30*x + 44*x)*(0 + 2 - 1) - x + 2*x + x in the form h*x + l and give h.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -5*s**4\/12 + 5*s - 5. Let q(z) = -33*z. Give m(q(c)).\nAnswer: -5445*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/6*12714\/10595\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32370, -32367, -32364, -32361?\nAnswer: -32358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 7. Let y = a - -7. Suppose 1 = 3*d - y*d. Is 2 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1104314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26552 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.365645 to two decimal places.\nAnswer: 28.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-1)\/(-2))\/(2075\/150 + -14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Let a = 5 - 10. Let f = a + k. What is the nearest to -1 in 1, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 5700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2582 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 7*m + 24*m**2 + 2 - 5*m to the form j*m**2 + k*m + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*1*8\/16. Suppose 6*b - l = 5*b. Let x(i) = i**2 - 6*i - 1. What is x(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x + 13. What is i(-13)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f + 66*f - 36*f = -24 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0 = -d - 3, -4*d + 7 = 3*g. Let t be d + (-2 - 12 - -3). Does 8 divide (-4)\/t + (-592)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -353.7 - -337. Let i = 16.2 + w. Which is the second smallest value? (a) 3 (b) i (c) -4 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 14*k - 16*k - 14, 0 = -4*c - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2370153.45 + 2370797.450429. Let n = -644 + c. What is n rounded to five dps?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 6*sqrt(11)*2 + -1 + 2)**2 - (sqrt(1100) - (sqrt(1100) + -2))*-3*-1.\nAnswer: 26*sqrt(11) + 1854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**4\/2 + 4*w**3\/3 + 7*w**2\/2 - 2*w. Let m(y) = -7*y + 16*y**2 - 6*y**2 - 5*y**2 - 6. Give -7*m(r) - 6*p(r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/126*-6)\/((-3)\/2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 43*z - 69. What is i(4)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -19*u**2 + 2365*u + 790. Let i(y) = 210*y**2 - 26015*y - 8690. Let c(n) = -45*g(n) - 4*i(n). Factor c(q).\nAnswer: 5*(q - 158)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - 3*i**2 + 2*i**5 + (0*i + 4*i**3 + 0*i)*(-i - 2 + 2)*(-3 + 3 + 2*i).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546794 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42307, 84596, 126869, 169132, 211391?\nAnswer: 253652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33467183 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/24 + d**3\/2 + 14*d**2. Let b be n(-1). Suppose -10 = -b*a + 26. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.77 + -0.77. Let h = 12 - 8. Let l = 1 + h. Which is the closest to 0? (a) n (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*b + 42, -x - 2*b + 24 = -30. Let t = x + -32. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - 0 - (-29 - -93 - 62).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24*0.8\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8281, -3, -7337 in increasing order.\nAnswer: -8281, -7337, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 684.58 + -1.58. Let b = 682.5 - c. What is the biggest value in b, -11, -12?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2833 = -8*a - 2793. Solve 4*k + 4*m = 3*m + 1, 11 = a*k - 2*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253734617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16429989 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2 + m**2 + 0*m**2 + 6*m - m + 1. Let l be k(-5). Suppose -2*s = -0*s + l*v - 749, -1501 = -4*s - 5*v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*g + 6. Let m be 14\/4 + (-5)\/(-10). Suppose -2*j + 2*k + 2 = 3*k, -k = m*j. Which is the biggest value? (a) 1 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -817.5.\nAnswer: 81.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**5\/90 - x**4\/18 - x**3\/9 + 5*x**2\/2 + 2. Let b(p) be the second derivative of s(p). Let b(f) = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35\/194032 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3192, 3184, 3176, 3168, 3160, 3152?\nAnswer: 3144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 - -1.4. Let t be -6*1*(-2)\/4. Let y be (1 + (-6)\/t)*-3. What is the closest to 1\/7 in -2\/15, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(136)\/(sqrt(24)\/sqrt(3)) - (-4 + 2 + -2 + sqrt(17)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621417015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 568 and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - ((-4)\/(-4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 86960*i + 14*i**3 - 6*i**3 - 173922*i + 86962*i.\nAnswer: 8*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1845 or 12924\/7?\nAnswer: 12924\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2906\/3 or -968?\nAnswer: -968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 52 = 3*u + 34, -4*a = -2*u + 22. Does u = -10\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -43*h**3\/6 - 7*h**2\/2 - 106*h. Find the first derivative of n(g) wrt g.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9aa - 3?\nAnswer: -9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 9:28 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**4\/4 + 10*s**3\/3 - 5*s**2 + 13*s + 3. List the prime factors of u(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2\/6 - 37715*v\/3 + 1422421225\/6 = 0.\nAnswer: 37715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36233342 divided by -4009.\nAnswer: -9038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742 - 747 + 1489 - 69*b.\nAnswer: -69*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**3\/6 - 12*a**2 - 2*a - 490. Give g(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (290 + 35*y - 290)*(-61*y**3 + 69*y**3 - 75*y**3).\nAnswer: -2345*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 2*l**2 + 293*l - 293*l to the form j*l**2 + n*l + x and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 12*j**2 + 11*j + 7. Suppose 3*g - 99 = -2*p, 0*g - 132 = -4*g - p. Suppose g = 2*n + n. What are the prime factors of y(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333643 divided by -3?\nAnswer: 333643\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118385646816 plus 3?\nAnswer: 2.881614353184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1. Let q be (1*-10)\/(-1) - 2. Suppose 0 = s + 600 + 302. Let f = -901 - s. Let v(z) = 4*z**2 - 8. Give f*v(d) + q*c(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3136*a*s*t**2 - a*s + 3*a*t**3 + 28*s*t**2 - 812*t**3 wrt a?\nAnswer: -3136*s*t**2 - s + 3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4372, 8190, 18584, 38842, 72252, 122102?\n\"Answer: 548*f**3 - 18*f + 3842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 36953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rofx when four letters picked without replacement from {z: 2, o: 1, x: 3, f: 1, r: 4, d: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 155 = 5*y, 2*s + 48 = -2*y + 7*y. Let w = -27 - s. Is -5\/3 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 3*c**6\/2 - 3*c**2\/2 - 9. Find the second derivative of t(q) wrt q.\nAnswer: 180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(0 - 3 - 2)*(-x**3 + 2*x**3 - 6 + 5).\nAnswer: -5*x**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*b - 27*b + 59*b as r*b + h and give r.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1027 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*2*sqrt(171))\/(sqrt(18)\/(sqrt(2) - sqrt(32)*-6)).\nAnswer: 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 9. Let m be h(7). Solve -m*a = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 - (-1 + -1)) + (-1013434)\/127155 and 67\/945.\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 35*c**2 + 10*c + 44. Give r(-3).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + d**2 + 3*d**2)*(1 - 1 + 2*d**2) + (-d**2 + 2*d**2 + 2*d**2)*(0*d**2 + 4*d**2 - 2*d**2) + 5*d**4 + 3*d**4 - 4*d**4.\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3715 - 0.0715. What is the biggest value in 9\/5, 0, -4, z?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423823339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**7\/84 - 3*j**4\/8 + 7*j**3\/6 - 8*j**2. Let a(i) be the first derivative of k(i). Find the first derivative of a(m) wrt m.\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53443759 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 188 + 638 = 0. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 8:32 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4571.\nAnswer: 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*p - 400, 4*l + 3*p - 213 = 100. Calculate the remainder when l is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -22, -30, -34, -34?\n\"Answer: 2*a**2 - 18*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**3 - 4*b**2 - 2*b + 2. Let p be n(-2). Suppose 10*c - 418 = 272. Let k = c - p. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 115.\nAnswer: -3\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t = -38 - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose 0*z - 6 = -z - 2*p, -c*z = -p + 3. Suppose 2*y - 6 = -z. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426780 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: Let m = -0.08 - -0.58. Let b = m - 0.5. Let d = 1.8 + -1.9. What is the closest to b in -0.2, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**3\/3 - 2*d**2 + 2*d + 2. Suppose -5*n = 3*c, 2*n = -4*c - n. Let k = c - -3. What is v(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:22 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8574, 10536, 12502, 14472, 16446, 18424?\nAnswer: 20406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k**3 - 5 + 2*k**2 - 3*k**2 + 4 + 2*k**2 to the form n + o*k + m*k**3 + x*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -78*o**2 + 2*o + 2. Let s be a(3). Let h = s + 3094. Suppose 7*b - h = 3347. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3092294*b + 11443953 with respect to b.\nAnswer: -3092294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 1. Let b = -159 - -160. Let m(z) be the second derivative of z**4\/2 + z**2 + 34*z. Calculate b*m(i) - 3*p(i).\nAnswer: 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-556)\/12)\/(4\/(-12)). Suppose y*c = 138*c + 2455. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 302*(-4)\/144 + 3 and 103\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, v: 4, o: 2, n: 2}. Give prob of picking 1 v and 2 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y**3 - 2*y**2 + 3*y**2 - y**2.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g + 5 = -3*k, -4*g = -k + 25. Let r(w) = w + 4. What are the prime factors of r(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d - 309 = 145*d - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 791, 1649, 2507, 3365, 4223, 5081?\n\"Answer: 858*m - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -57, -66, -89, -132, -201, -302, -441, -624?\n\"Answer: -s**3 - s**2 + s - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - -5.6. Let z = i - 3. Let x be (-21)\/(-6)*(-208)\/182. What is the second smallest value in z, -2\/3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/10 - 130*h**5\/3 - 5904*h**4 - 15552*h**3 + 3681*h**2. Factor b(i).\nAnswer: -4*(i + 108)**2*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/5020238 and 51\/14.\nAnswer: 35141666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 30, 13, 3 in descending order.\nAnswer: 30, 13, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*u**2 - 5116848*u - 1764420 = 0.\nAnswer: -58814, -10\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -419960 * 24.\nAnswer: -10079040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 6*c**3 + 37 - c - 39 + 3*c**4 + 3*c - 4*c**4 in the form g*c + w*c**2 + a*c**4 + y*c**3 + m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 4*b + 0*b)*(65*b - 1652 + 1652)*(-4*b - 2*b + b).\nAnswer: -325*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 180 = -3*x, 22*x = -3*r + 24*x + 90. Solve -38 = 4*f - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4331*k + 44. Let f(p) = 619*p - 6. Determine 15*f(n) + 2*v(n).\nAnswer: 623*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 2. Let t be p(2). Suppose 0*m - t = -4*m. Suppose -9 = 5*c + m. Put c, 1, -1 in descending order.\nAnswer: 1, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-12)\/(-2))*(-4)\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22760229 times -1.6\nAnswer: 36416366.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -71, -56, -25, 28, 109, 224?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -4. Let u(r) = -r - 1. Let p(k) = -k**2 + 2*k + 2. Let d(o) = x*p(o) - 2*u(o). Let s(w) = 12*w. Determine d(s(f)).\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 2:10 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 42.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.01712mm to nanometers.\nAnswer: 92017120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) 5 (c) -1547\/9 (d) -0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blqlbqblbqlb. What is prob of sequence lb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, 146, -5, 0.4, 3\/176 in decreasing order.\nAnswer: 146, 0.4, 3\/10, 3\/176, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131356 + -2?\nAnswer: -131361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23340?\nAnswer: 2, 3, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 10*r**2 + 8*r + 11960. List the prime factors of y(0).\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1184, -2301, 208, 9919, 30408?\nAnswer: 65251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(3300) - sqrt(3300)*-1) + sqrt(3300))\/(sqrt(12)*2).\nAnswer: 1 + 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 - 267*q**2 + 1137*q + 3108. Calculate u(129).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -13 + 16 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 7, 74, -2, 4 in ascending order.\nAnswer: -9, -2, 4, 7, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/6, -2\/19, 0.2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 20*z - 19*z + 20*z. Let m(t) be the first derivative of -7*t**3 + z + 9\/2*t**2 + 0*t. What is the second derivative of m(l) wrt l?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138232 is divided by 74.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3944, 4398, 4860, 5330, 5808, 6294, 6788?\n\"Answer: 4*u**2 + 442*u + 3498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -39*o + 1. Let j be z(-4). Suppose 2*i + 3*h = i + j, -3*i - 3*h = -501. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 15. Suppose 4*g = -l*f - 4*f + 12, 2*f + 4*g - 4 = 0. Let r = -23 + 116\/5. Which is the biggest value? (a) r (b) f (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 566 - 560. Solve -18*i + 60 = -a*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 4*j**2 + 3*j + 12. Let w be f(5). Suppose 2*x - 29 = -0*p - p, -x = 2*p - w. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/2*(-42)\/(-35). Suppose -5*q - 3*l + 155 = 0, -d*l - 54 = -q - 2*l. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - 53*g + 15. Give o(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41196774 plus 0.35?\nAnswer: -41196773.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*b - 28 + 5, 0 = -b - 4*t - 3. Suppose b*f + 72 = 9*f. Let u = f - 15. Solve -4*s = v + 10, s + 2*s - u*v = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4027\/6 - -665. Find the common denominator of (-7 - 25\/(-4))\/(18\/524) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/17, 68.7, 89, 2, 0.4.\nAnswer: 0.4, 10\/17, 2, 68.7, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11341092 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3 - 10*p**2 - 3 - 2 + 11*p**2. What is the remainder when 111 is divided by k(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 minus -15360609?\nAnswer: 15360728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**2 + d + 6. Let w be c(5). Let x = w + -10. Suppose -i - 2924 = x. Round i to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15420 + 4396*z + 7708 + 535*z**3 + 27*z**3 + 7712 wrt z.\nAnswer: 3372*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*w + 398 - 104 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g*g**1*g)\/g))*g**(-2\/23))\/(g*g**(1\/3))**(-9))\/((((g*g**(-3))\/g*g)\/(g**(2\/19)*g*g))\/((g**8\/g)\/(g*g**(5\/4)))) assuming g is positive.\nAnswer: g**(39799\/1748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81\/44 + -12\/11. Let w = q - 5\/12. What is the second smallest value in -0.5, w, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*y + 3*s, -859*y + 861*y + 2*s + 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/30 + (6 - 108\/40)\/(15\/160)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 12. Let t be u(15). Suppose -3*k + 2*a - 27 + 4 = 0, k = t*a - 10. Let f(j) = -j**2 - 4*j + 7. Give f(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7347 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24452039*b - 12226020*b - 12226014*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283811774 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2124, -2146, -2168?\n\"Answer: -22*l - 2102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 6:47 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674435*m + 63220*m - 92359*m + 270118*m.\nAnswer: 915414*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-15)\/(-675))\/(4\/30).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 476 divide 206925292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**30\/m)**6*(m\/m**(-3))**24 assuming m is positive.\nAnswer: m**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 23, -4, -1, -6 in decreasing order.\nAnswer: 23, 5, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 5838175*z**2 - z + 1309729*z**2.\nAnswer: -4528446*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Suppose x - 2 = -p*x. Differentiate 1 - b + 0*b + x with respect to b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351788106 a multiple of 4116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o**4 + 1540*o - 1033*o**3 + 448*o**4 + 20*o**2 + 49*o**5 - 44*o**5 - 122*o**3 = 0 for o.\nAnswer: -77, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*j - 5*j - 5*j + 5*j)*(-17*j - 7*j - 12*j) to c*j**2 + u*j + g and give c.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(576*d**2 - 290*d**2 - 2*d - 285*d**2 - 258).\nAnswer: 2*d**2 - 4*d - 516","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-12\/5)\/r*r)\/r)\/(r**(-11)*r))**29*(r**1)**(-1\/16)\/(r**0*r*r*r**(1\/3)) assuming r is positive.\nAnswer: r**(52321\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**2\/3 + 71422*b\/3.\nAnswer: b*(7*b + 71422)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 401.9 + -401.9. Is 3603 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 - 4 = 0. Let z = 0 + a. Let y(g) = -g**2 - 5*g - 3. What is y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(1372\/49))\/((-1)\/(-46))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/11)*s)\/(s**(-10)*s))\/(s**(-5\/2))**(-1\/17) assuming s is positive.\nAnswer: s**(3651\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.34.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 2754. Let v(q) = q + 2758. What is 3*k(l) + 2*v(l)?\nAnswer: -l - 2746","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*((sqrt(76) - (sqrt(76) - -1*sqrt(76)))\/sqrt(4))**2 + sqrt(133)\/(sqrt(63)\/(-1*sqrt(9))).\nAnswer: -39 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 7:23 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2021 + -2041221?\nAnswer: -2043242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.2 - -7. Let q = 5.9 + 0.3. Let l = u + q. Which is the third biggest value? (a) l (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 38838767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 553 = -t, -3*t + 4*t = -w + 545. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3448726 to the nearest integer?\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 94. Let a be m(-10). Let k(p) = -p. Let u(r) = 9*r + 2. Determine a*k(g) + u(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4 + 2. Let h = -3 + 0. Let k = h - -1. Which is the nearest to -2\/5? (a) 3 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 195, 430, 767, 1212, 1771, 2450, 3255?\nAnswer: 4192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 15. Suppose 3*s - w - 18 = -1, -5*w = -t*s + 1. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 + 1233851746.\nAnswer: 1233851746.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**5\/20 - c**3\/4 + c**2\/4 - 252. Determine w, given that h(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 6123 = 6903. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1140320411 (base 5) to base 2\nAnswer: 1010001011000111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 + -16.5. Let v = 2 + 8. Let o = u + v. Which is the third smallest value? (a) -0.1 (b) o (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 + -145. Let s be (34 - 30) + 1\/(n\/(-306)). What is s rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.9983 - 50. Round m to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 324, 471, 598, 699, 768, 799, 786?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 23*h - 80. Let d be k(4). Let r(x) = -x**2 + 39*x + 18. What are the prime factors of r(d)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/5736 and -127\/432?\nAnswer: 103248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**16*((u\/u**3)\/u)\/(((u**8*u)\/u)\/u) assuming u is positive.\nAnswer: u**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 113276 - 113157 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27433258 is divided by 568?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -902 divided by -2?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80469156 divided by 40234578.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -500, -716, -932, -1154, -1388?\n\"Answer: -g**3 + 6*g**2 - 227*g - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 7*f**2 + 8*f + 4. Let c be a(8). Let w be (c\/(-5))\/((-15)\/225). Calculate the greatest common divisor of 36 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 5*g + 3*w, 238*w + 80 = -5*g + 233*w for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**36)**(-6\/7)*((w\/(w**(-2\/49)*w))\/w)**40 assuming w is positive.\nAnswer: w**(-3434\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Is j <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -2*p**6\/3 - 2*p**3 - 4. Find the third derivative of o(u) wrt u.\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 63.1.\nAnswer: -18.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7526 is divided by 57.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**3 + j**3 - 4*j**3 + (8*j + 2*j - 2*j)*(-2*j**2 + 2*j**2 - 2*j**2))*(-2*j - 2*j + 5*j) in the form d*j + b*j**3 + a*j**4 + w + f*j**2 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23477557.\nAnswer: 23477557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v - 15. Let o be r(10). Let g = -52 + o. Let -14\/3*x**2 + 2\/3 + 4\/3*x + 8\/3*x**g = 0. What is x?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1700548 and 8.\nAnswer: 3401096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6647 (base 14) to base 6.\nAnswer: -213543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 17*o + 7. Let c(l) = -12*l - 5. Let t(m) = 7*c(m) + 5*h(m). Let k(j) = 207*j**2. Give k(t(g)).\nAnswer: 207*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 45 = 4*s, -20*s - 50*c = -94*c + 49*c + 235 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5125*u**2 - 48451760*u - 94540.\nAnswer: -5*(u + 9454)*(1025*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26326710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -25d3d1 (base 16) to base 6\nAnswer: -125045041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24911 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13797551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - 5.7. What is the smallest value in 5, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 1, r: 3, q: 1}. What is prob of sequence haq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 + -2455\/11. Let h = -2 - -1.8. What is the closest to -1\/3 in m, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5747, -5653, -5559?\nAnswer: -5465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13499*8\/(-40) - (-8)\/(-10) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -4*f. Does 22 divide 4 - (f - -5) - -111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280338 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oov when three letters picked without replacement from dooovoododdodoeveye?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:16 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -4.6. Suppose 2*c - 2*n + 24 = 0, -2*n + 3 - 6 = c. Let u be (6\/c)\/(-2)*108\/234. What is the closest to 0.02 in -4, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/6 - j. Let t(l) = -595*l - 35. Let g(q) = -4 + 3 + 62*q - 27*q + 3. Let y(f) = -35*g(f) - 2*t(f). Give c(y(x)).\nAnswer: 2450*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49, -155, -307, -499, -725, -979, -1255, -1547?\n\"Answer: b**3 - 29*b**2 - 26*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 11*a**9\/252 - a**5\/12 + 14*a**2. Find the third derivative of s(t) wrt t.\nAnswer: 2640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -286*c**2 - 91*c. Let w(j) = -48*j**2 - 14*j. Let h(y) = -6*s(y) + 39*w(y). Let q(z) = -2*z. Determine q(h(a)).\nAnswer: 312*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 23*o - 70. Let j be ((-304)\/(-80))\/(3\/30). Is r(j) a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13245 + 1?\nAnswer: 13246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c + 31. Let n(m) = -7*m - 32. What is 3*h(t) + 2*n(t)?\nAnswer: t + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpzp. What is prob of sequence zzp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -6, 0.9, 16?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.2, 21, 80, -0.4, -4 in ascending order.\nAnswer: -4, -0.4, -0.3, -0.2, 21, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-5 - -24) - (1 + 4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-2)\/(-2))\/(-5))\/(-1). Let j = -4.1 + 4. Let k(i) = -3*i - 4. Let g be k(-3). What is the nearest to j in 0.3, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 1:32 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/976 and -95\/488.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 5 = -2*g. Suppose -3*u + g = -2. Suppose -a + 5 = u. Solve -3*r + 2*n + 0 = -8, -a = -5*r + n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12*n + 176 = 0. Let k = 18 - n. Let j = 93 + k. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121404901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5 = -5*z, -4*z = 101*l - 97*l + 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f + 3*l + 1134 = 0, 5*f + 4*l = -2828. Let c = f + 959. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7127 + -3144?\nAnswer: 3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let n(k) = 7*k + 3061. Determine t(n(a)).\nAnswer: 49*a**2 + 42854*a + 9369721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -120*((-7)\/((-84)\/(-423)) - -2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 62. Let k = g + 26. What is the closest to k in 3, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = 20*x + 475. Calculate the smallest common multiple of 16 and 4 + x\/9 - 40\/(-3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**6 + 23405508*q**3 + 15181198*q**2 - 2*q + 2.\nAnswer: 120*q**3 + 140433048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -160, -577, -1264, -2221, -3448, -4945, -6712?\n\"Answer: -135*d**2 - 12*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 504.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + j = 4, -4*j = 5*y - 3*j - 4. Suppose 4*g - 2 = 3*g, 4*g = 4*r + 8. Solve r*f + f = y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -23. Let c(u) be the first derivative of -u**2\/2 - 9*u - 49. Let r be c(q). Solve r*a - 3*i + 16 = 0, -2*a = -a - 4*i + 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13481 = -256*a + 4009 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100043, 100020, 99983, 99932, 99867, 99788?\nAnswer: 99695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1296 and 32.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4 - l**2 - 3 - 8*l + 0*l**2. Let u be k(-6). Differentiate -z - 5*z + u + 4*z - 4 wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpimpz. What is prob of sequence zpm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/322 and 25\/23.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(4\/3)\/s)\/s**8*s**6*s\/(s*s**(-1\/5)*s))**(-24))**(10\/9) assuming s is positive.\nAnswer: s**(592\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - 4*r**3 + 6*r**3 - 2*r**3 + 2*r**3 - 2*r**3 + (-2 + 2 - 3*r)*(-2*r**2 + 0*r**2 + 3*r**2).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - 8\/((-144)\/27)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 82*s - 3. Let f = 2 + -1. Let k be a(f). Suppose -k - 183 = -m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14532125 (base 6) to base 7.\nAnswer: -4222223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2. Let l(w) = -10*w + 953. Give j(l(v)).\nAnswer: 300*v**2 - 57180*v + 2724627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - k - 2*k)*(-k - k + 9*k)*(82*k - 304 + 304) as m*k + z*k**3 + f*k**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(189)\/(sqrt(3) + sqrt(6)\/sqrt(2) + sqrt(3)))\/(sqrt(81) - sqrt(81)*-2))**2.\nAnswer: 28\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(1700)*1 + 3 + -5)**2.\nAnswer: 240*sqrt(17) + 61204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -45 + -44 + 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-13)\/(1170\/(-12)))*36\/30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12112369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184522 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 plus 131.4532?\nAnswer: 131.6132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 1. Let k(a) = -a**2 - 8*a + 4. Let b be k(-8). Suppose -b*u + 7 + 5 = 0. Let s(p) = p. Let i(w) = u*l(w) - 5*s(w). Give i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 15 = -7*d, 8*l + 5*d = 12*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 2875 + 33*v**3 + 2875 + 16*v**3.\nAnswer: 49*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**5\/5 - 88*j**4\/5 + 184*j**3 - 364*j**2 - 918*j\/5 + 1908\/5 = 0.\nAnswer: -53, -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 70 = 7*k. What is the third derivative of -6*v**4 - 3*v**5 - 7*v**5 - 13*v**5 - 8*v**k + 216*v**2 + 24*v**5 wrt v?\nAnswer: -420*v**2 - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3123076 (base 8) in base 3?\nAnswer: -1120010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 2*p**2 + 3*p - 3*p**2. Suppose 22 = -2*g - 4. Let f(q) = q**2 + 14*q + 15. Let y be f(g). Give d(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j + 2*j)*(0*j**2 - 2*j**2 - j**2)*(-12 - 9 + 11) - 4*j**3 - j + 4*j**3 + j**3.\nAnswer: -29*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 1, c: 1, h: 1, x: 1}. Give prob of sequence xc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l**2 + 4*l**2 + 3*l**2)*(0*l**2 + 473*l - 391*l - 13*l**2) to the form c + r*l**3 + z*l + n*l**4 + v*l**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9559 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4569.4 + 4569. Sort -0.04, p, 3, 0.3, 1 in increasing order.\nAnswer: p, -0.04, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1878*d + 726 = -1845*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 20 - 3 - 15 + 17. Let c be j(-3). Solve 4 = -27*d + c*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p + 11 = d, 4*p + 57 = 5*d. Let t = d - 7. Let k(z) = 3*z + 3. Is 13 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15125330\/66 + 9 + (-7)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -2*o - 146. Solve -3*b + 15 + 12 = 4*s, 2*b - o*s = -2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 261 in descending order.\nAnswer: 261, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 5. Let j be a(3). Suppose -3*t = -4*t + j*p - 10, 12 = 4*p. Solve 2*d + t = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = 22*i + 2. Suppose i*x - 4*y - 284 = 0, x - 4*x + 5*y = -427. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 6\/(-2))*20\/40. What is the tens digit of (671 - (-2 + o)) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1934547980.\nAnswer: 2, 5, 17, 5689847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3394849426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -21 + 22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2214\/(-29520))\/((-2)\/(-20))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9538704 by -85167.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 27 = 7. Suppose m*g - 20 - 5 = 0. What is the second derivative of o**4 - o**4 + 2*o**g - o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-64153)\/(-5) + (-1128)\/705 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 6\/(-9)) + 3\/(-6). Which is the third biggest value? (a) f (b) 3\/8 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2 + 2 - 1). Suppose -2*l + 7 = -2*k - 3, 11 = -3*k - l. Put -5, z, k in ascending order.\nAnswer: -5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*c**3*x**2 - 5*c**3*x + 3*c**2*x - c*x + 101*x**2 wrt c.\nAnswer: 48*c*x**2 - 30*c*x + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w**2 - 425*w - 7564. Give p(-18).\nAnswer: -1858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -138, -275, -464, -705, -998, -1343?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/1)\/(-4))\/((7090444\/992)\/(-211))?\nAnswer: -2\/271","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:26 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 11, 29, 61, 113?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = p - 25. Let l be -1*0\/(1 + 0). Let h be (-19)\/380 - 3\/4. Sort l, h, p.\nAnswer: h, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**4*t + 19*c**4 + 11*c*t - 2 wrt c?\nAnswer: 84*c**2*t + 228*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1341*r - 3060 = -1137*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*n**3 - 607*n**3 + 1842*n**3 - 608*n**3.\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = -8*n + 1058. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 15 = 0, 0*u - 2*u = -5*b - 19. Suppose 0*w - w + 192 = u*p, -207 = -w + 3*p. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 3885, 3.\nAnswer: -123, 3, 3885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 230891064010*n**2 + 53182850*n + 6125\/2.\nAnswer: 5*(303902*n + 35)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -5 - (246 - 261) - 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -843479*f**2 - 14260*f. Let m(s) = -710*s**2 - 12*s. What is 3*a(j) - 3565*m(j)?\nAnswer: 713*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 408.215162 rounded to 0 dps?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*h - 3. Suppose -i + 3 = h. Suppose 4*l = i*j - 5*j + 23, -10 = -5*l. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2015242*q**2 + 1582*q + 7910. Let l(d) = -3824*d**2 - 3*d - 15. Let s(p) = -1582*l(p) - 3*r(p). Let n(v) = 3*v**2. Calculate n(s(u)).\nAnswer: 44282892*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - v - 4. Let x be r(-2). Solve 0 = -3*t + 4*k - 13 + 2, -7 = t + x*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) -3 (b) -2 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100 (base 2) in base 4?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/8*144\/36*(-52959)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 353*b**2 - 54*b + 2. Let z be x(-9). Suppose u + 12*u - z = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*d, 301 = -5*k + 2*d + 308. Calculate the greatest common factor of 333 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 142*o\/3.\nAnswer: -2*o*(o - 71)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d - 2*j, -39 = 5*d + 4*j - 1. Let l = 0 - d. Solve -2*h = 2*m - 0*h - l, -2*h - 3 = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4656 less than 0.2?\nAnswer: 6.6656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1987596 and 23\/3312660.\nAnswer: 9937980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 1. Let p(d) = d**3 - 4*d**2 + 5*d - 4. Let k be p(3). Suppose -k*a = -13*a + 143. What is the remainder when v(8) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 713 and 12908773?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 48 = -3*s - 2*s, 24 = 3*s + 3*k. Calculate the common denominator of 138\/16*((-24)\/(-20))\/(-3) and 134\/s - (0 + 2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -21. Let k = -985 + 2007. Suppose -r*t = -10*t - k. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {h: 1, s: 2, o: 1, y: 1, j: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q**2 - 2*q**2 + 2*q**3)*(-1 + q + 1)*(-27 - 80 - 40)*(2 - 9 - 2).\nAnswer: 2646*q**4 + 1323*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*u - 15*u - 1840. Suppose u = 6*p - 1594. What are the prime factors of p?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3474, 2849, 1824, 399, -1426, -3651, -6276?\nAnswer: -9301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 11. Let t(r) = 5 - 3 + 4 - 2. Let b(g) = -1. Let j(o) = -2*b(o) - t(o). Let k(h) = 2*d(h) - 11*j(h). What is k(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24029 + 24012 - 72040 - h**3 + 24031.\nAnswer: -h**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-10) + 76\/(-55) + (-106)\/(-583). Solve -p - 1 = 2*i, r*p - 3*p + 2*i + 21 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521 times 0.1?\nAnswer: -52.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**6\/21 - 8*z**5\/35 - z**4\/14 + 20*z**3\/21 + 4*z**2\/7 - 16*z\/7 + 169. Factor f(l).\nAnswer: -2*(l - 1)**2*(l + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57944013?\nAnswer: 3, 137, 140983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2 + 9436*l + 2242434 = 0?\nAnswer: -4467, -251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)\/f*f*f**2)**(-43))**(-16) assuming f is positive.\nAnswer: f**1548","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + 106\/4. Suppose -30 = -4*r + h. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-122)\/305)\/((-21)\/(-45))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*i**3 - 2*i + 728*i**2 + i**4 - 371*i**2 - 355*i**2 to a + f*i**2 + r*i**4 + d*i**3 + o*i and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234406*z + 63930*z + 75101*z.\nAnswer: 373437*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 17*b - 9*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6409081.0000028 - 6409067. Let v = 14 - i. Round v to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 7*w - 4*w + 430, 4*w + 158 = -2*i. Let a(q) = 7*q - 3. Let l be a(-3). Let c = l - i. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508076223 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 - 558 = 5*q. What is the remainder when 395 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 + 8*u**2 - 12*u + 2. Let z be t(2). Let c be 52\/z*(-6)\/4. Suppose -3*m + 22 = -134. Calculate the greatest common factor of c and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2714817*g**3 - 2*g - 82905 wrt g.\nAnswer: -16288902*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030410341 (base 5) to base 15.\nAnswer: 2d70eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*i + i + 24, 0 = 3*k - 5*i - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 5. Suppose -402*q + 399*q + 12 = 0. What is the least common multiple of h and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 714149 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - o + 4*o + 25, o = 2*b - 10. Let q(u) = -17*u - 18. Let y(k) = 6*k + 6. Let c(w) = -3*q(w) - 8*y(w). Is c(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 1422*q - 2. Let n(s) = -5*s. Determine n(z(k)).\nAnswer: 10*k**2 - 7110*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:32 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1724 is divided by 1531?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 8*o - 13. Let y be r(-4). Suppose 4*v = 5*t - t - 4, -t = -y. Solve 5 = -l - g, -2*l - 5*g + v*g - 12 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -48, -73, -100, -129, -160?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 948, 3114, 7278, 14106, 24264?\nAnswer: 38418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -113.5 and 0.5.\nAnswer: -56.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 143*d*z**3 - 463*d*z**2 - 3*d + 224*z**3 - 240*z**2 wrt d?\nAnswer: 143*z**3 - 463*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 78\/9 + (6 - 15). Let u = 0.4 + -0.12. Let w = -0.02 - u. Which is the closest to 2\/3? (a) p (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 6*a**2 - 7*a - 4. What is v(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**17*a\/a**5)**(4\/9))**(-1\/10))**(-1\/12) assuming a is positive.\nAnswer: a**(7\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/162 + 435\/2565. Sort 1\/16, -2\/7, k, 3.\nAnswer: -2\/7, k, 1\/16, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37093543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/9 + 4520*j\/9 - 3016\/3.\nAnswer: 2*(j - 2)*(j + 2262)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113 + 30113?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9050734 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.6, -1, 0.1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 58898.99mm?\nAnswer: 58.89899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(153) - (sqrt(153) - (sqrt(153) - (2*sqrt(153) + sqrt(153))*3) - sqrt(153)))\/sqrt(9)*5)**2*1.\nAnswer: 41650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiaii. What is prob of sequence ii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, -11, 0.\nAnswer: -11, -10, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 38?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssssssssqsqsss. What is prob of sequence qsq?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 1 = 25*t - 26*t, -t + 5*j = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 20*r + 11. Calculate the remainder when 18 is divided by z(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12434 (base 6) to base 13\nAnswer: -b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165*c - 2369 = -7380 - 10134 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107394374.\nAnswer: 2, 53697187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 5:12 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6214323 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.65 (b) 3 (c) -1\/5 (d) -0.015 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:51 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f - 2. Let p be y(4). Suppose 10*n = -3*n + 39. Suppose -5*u + 5*k = -35, n*u + 3*k + 1 = -2. Sort u, -3, p.\nAnswer: -3, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**2 - 26*p - 16. Let n be z(7). Find the third derivative of 2*u**3 + n*u**2 + 40*u - 19*u - 21*u + 25*u**5 wrt u.\nAnswer: 1500*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e14 - 3?\nAnswer: -5e17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + g - 8 = 6*g, 7 = 5*h + 2*g. Let q(x) = x**2 + 4*x - 81. Let s be q(-12). Suppose 10*o - 22*o = -s*o. Solve 0 = d + h - o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216 + 255. Suppose 2*v + v - 3*f = t, 3*v - 5*f - 45 = 0. Solve 3*q = 12, 4*g - v - 6 = -q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 29, 102, 249, 494, 861, 1374?\nAnswer: 2057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*x**3 + x**2 + x**3 - x**2 - 7*x**2 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3419, 6793, 10167, 13541, 16915?\n\"Answer: 3374*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**6*((i*i**10*i*i)\/i)\/i)\/(i**0)**(-21) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 3. Let v(q) = -q. Let l(f) = 4*f - 2. Let t(r) = -5*l(r) - 16*v(r). Let c(x) = t(x) + w(x). Let m(b) = -b + 3. Calculate 2*c(d) - 5*m(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 11.98. Let i = f - -3.98. What is the third biggest value in 3, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 350370 + 0*f**3 + 2*f**3 - 350375 - 286*f**2 as h + u*f + t*f**3 + i*f**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1676 - -8?\nAnswer: -166d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3207733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**20*g*g**(8\/9))\/((g*g**20)\/(g\/(g*g*g\/(g\/g**1)*g*g))) assuming g is positive.\nAnswer: g**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = 0, 3*w + 2283 = -2*g + 5*g. Let n = -333 - w. Let a = n + 5. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422 + 422 + s + 9*s - 3*s + 0*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcq when three letters picked without replacement from qaqaaqqaaqaaaqaaaqac.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 19. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 956*s**2. Let l(q) = -20*q**2 + 3*q + 3. Let d(y) = -49*y**2 + 7*y + 7. Let o(x) = -3*d(x) + 7*l(x). What is o(a(p))?\nAnswer: 6397552*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 less than or equal to 435\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13322320100 (base 4) to base 14.\nAnswer: -3c08a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i**2 + 124*i - 244*i - 13*i**2 + 120*i + 3*i**3.\nAnswer: 3*i**3 + 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -80*16\/(-280) - 5. Put 16, -2, a in decreasing order.\nAnswer: 16, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/5))**24\/((f*f\/f**(-4))\/(f\/(f*f\/(f**(-6)*f)))))**(-5\/13))**5 assuming f is positive.\nAnswer: f**(-60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12776 a factor of 1205632792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16ad (base 14) in base 8?\nAnswer: 7751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41730 is divided by 41508.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-3)*(-9)\/6. Suppose -4*x + 2*a = k*a + 20, -5*x - 25 = a. Let f be x\/(-1)*1 - 1. Let n(l) = l. Determine n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, 3, 3\/2 in descending order.\nAnswer: 3, 3\/2, 1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -96, -149, -204?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7 + 5.1. Sort 4, m, -0.5 in decreasing order.\nAnswer: 4, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/48 + 1671\/12.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (5 + (19 - 46) + 54)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -x - 2*x - 4, -2*x = 4*j - 44. Let z = j + -16. Let y be 3 + (z - -1) - -2. Solve y*a = 5*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -2228 (c) 3 (d) 3\/8 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 172551?\nAnswer: -172563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 11. Let j be y(-10). Let p = 3 - j. Let s be -2 + 1 + 1 + p. Solve 14 = -d - 5*f, -5*f + s*f = -5*d - 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -18, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32231 - -67500. List the prime factors of w.\nAnswer: 13, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*y + 8, 5*h - y - 20 = 2*y. Suppose 0 = -2*r + h*r - 2, 5*a = 5*r - 5. Solve a = -j + 4 - 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00490169 to five dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by 54.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**6\/780 + k**5\/390 + 5*k**2\/2 - 6*k. Let q(b) be the first derivative of y(b). Solve q(w) = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4585 + -0.0415. Let v = -3 - -3. What is the closest to v in -4, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k. Let g(a) be the third derivative of -5\/24*a**4 + 0*a + 0*a**3 + 0 + 5*a**2. Calculate g(z(s)).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {r: 3, t: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*l - 149*l - 1201 + 3331 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 2:20 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 44087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.11749l to millilitres.\nAnswer: 41117.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 10. Let w = -34.4 - -34. Which is bigger: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1792 divided by -19270.\nAnswer: 896\/9635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 13*c - 12. Suppose -2*m + 4 = 2*u, -212*m - 1 = 3*u - 210*m. What is t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0022385*-8\nAnswer: -0.017908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 45*w - 26*c = -25*c + 97, -2*c = -5*w + 160 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 3*d**2 + 2*d. Let k be z(-3). Suppose -k = -2*h - h. Calculate the remainder when 8\/(-20) - 681\/(-15) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - 16860*b**3 + 0*b + 15513*b**3 - 2*b + 2*b**3 + 2*b + (5 - 1 - 2)*(b**2 - b**2 - 3*b**3) + 2 - 2 - 2*b**3.\nAnswer: -1353*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by -48.\nAnswer: 43\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -207 - 77. Let j = -45 + y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 43571990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5 - (-7 + 494\/70).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28770, -57524, -86278, -115032, -143786, -172540?\n\"Answer: -28754*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6*t**3 + 22*t**2 + 21*t - 5. Let x(z) = 268 - 7*z**3 - 264 + 2*z**2 - 22*z - 24*z**2. Let q(h) = 6*u(h) + 5*x(h). Is q(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 641*l + 1276*l + 2176*l - 792*l as b + t*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by (51*(-36)\/20)\/(30\/(-150)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 79 + 398*z**2 + 399*z**2 - 799*z**2 to k*z**2 + q*z + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + o**2 - 4*o**2)*(3 + 2*o**3 - 3) - 4*o + 4*o + o**5 + 56011*o**2 + 56014*o**2 - 12171*o**5 - 112025*o**2.\nAnswer: -12168*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5\/15 - 14*n**4\/5 + 92*n**3\/15 = 0?\nAnswer: -23, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 7, q: 1}. What is prob of sequence uz?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6973.372m?\nAnswer: 697337.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -1\/2, 0.4, -0.2, 1, 8, -5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from uvvkvkvuvvveveevk?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123892.\nAnswer: 2, 47, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 1)*3\/10. Let c = 9 - 15. Let b be (c\/(-4))\/(5\/2). What is the third smallest value in -0.2, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + s - 7 - 12 = 0, o + 35 = 5*s. Let l be (1\/4)\/(4\/16). Let d be (l - 38\/35) + 3\/o. What is the third smallest value in d, 5, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from yykyyyyykk.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 813750 and -8?\nAnswer: -6510000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4340595 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.5 + 4.5. Let h = -0.1 - -0.1. Which is the closest to h? (a) -2\/15 (b) s (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-4)\/(-32)). Suppose d*y - 36 = y. Calculate the greatest common divisor of y and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4\/3, -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 95 = -55. Let o(y) = y**2 + 4*y - 12. Calculate o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22002, -22176, -22350, -22524?\nAnswer: -22698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - j - 1443 = -112, -3*b - 1997 = 2*j. Is b != -664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-294))\/(8\/12)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22198 (base 11) in base 13?\nAnswer: -1184a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5012*y**3 - 1 + 1 + 5007*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5522875 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 - -2.7. Let j = 0.5 - w. Which is smaller: j or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*c - 115 = -4, -4*n + 78 = -2*c. Solve -n = 7*k - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k + 14. Let w(q) = 2*q + 5. Suppose -28 = -2*a - 66. Let y(u) = 2*u + 32. Let r be y(a). What is r*n(s) + 17*w(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*b**2 + 4*b - 21*b**2 + 45*b**2 + 27*b**3 to the form y*b**2 + h*b + j*b**3 + w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 + -148. Suppose -l*m = -2*m - 21395. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:20 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(19))*5 + -5*-3*sqrt(19).\nAnswer: 3 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Let t(i) = 2*i**2 + i + 1. Let h = -1 - 0. Let n be t(h). Which is smaller: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -393748*h**5 - 13*h**3 - 13*h**2 + 953495.\nAnswer: -23624880*h**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - b**3 + b**3)*(4*b**2 - 8*b**2 - 32*b**2) + (2*b - 2*b**2 - 2*b)*(0 + 2*b**3 + 0) + 3*b**5 - b**5 - 11*b**5.\nAnswer: -121*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(3 - 3 - 4*q)*(2*q**2 + 8*q - 8*q)*(9 - 9 - 2*q).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 + 5*l + 26. Let r be h(-8). Let d = 1027 - r. What are the prime factors of d?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 26 = -7*u. Solve 0*r - 3 = -r + 2*i, i + u = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/120 + i**5\/40 - 11*i**3\/6 + 8*i**2. Let k(v) be the first derivative of w(v). Factor k(u).\nAnswer: 3*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46693*m**2 - 112*m**3 + 139903*m**2 - 46516*m**2 - 46694*m**2.\nAnswer: -112*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1080 and 3560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 7*q**3\/2 - 3*q**2 + 2*q - 16. Suppose -4*c = -6 - 18. What are the prime factors of n(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3452? (a) -362 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 273 + -269. Let f be -1 - (24\/(-10))\/3. Which is greater: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - z + 0*z - 14 = 0, 4*l + 4*z = 24. Let g(p) = -2*p - 2. Let s(k) = -2*k - 4 - 2 + 4. Give l*g(b) - 6*s(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -202*x + 1619. Let p be i(8). Solve -4*n = 5*z - n - 19, -2*z = -p*n - 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12909\/14 greater than or equal to 921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054 to five dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvfq when four letters picked without replacement from {f: 2, v: 2, q: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -12425?\nAnswer: 12425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**3 + 3*q**2 + 4*q + 2. Calculate i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52166 > 49294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28183 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**4 + 93*c**3 + 306*c**2 + 12*c - 408 = 0.\nAnswer: -2, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -362, -373, -384?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -720 + 720. Solve -7*y + 20 + 15 = z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1867 - -77.661.\nAnswer: 1944.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -623 - -623.1. Which is the fourth biggest value? (a) -1\/5 (b) 0.4 (c) i (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49659371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 + 15*h - 35. Let p(y) = 6*y - 29. Let d be p(6). List the prime factors of o(d).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2657\/9 - 297. What is the common denominator of v and 40\/153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 + 5*j + 7. Let d(f) = -6*f**2 - 14*f - 22. Let t(y) = -6*d(y) - 17*w(y). Let v be t(10). Let l = v + -614\/3. Which is smaller: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -67.\nAnswer: 7\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 1611. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 72. What is the remainder when u is divided by 7*(-27)\/(-2)*(-14)\/(-147)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (0 + sqrt(425) + -2*sqrt(425) + sqrt(425) + sqrt(425) + -3 + (sqrt(425) + sqrt(425) + -1 - sqrt(425)))*4)**2.\nAnswer: -1600*sqrt(17) + 27600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 + y - 4. Let o(h) = -h**3 - h**2 + 8*h + 7. Let l be o(-5). Let t = -26 + l. Calculate the remainder when t is divided by p(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k**3*x**2 - 127014*k**2*x**2 - 5*k*x**2 + 45007*k*x - 12*x - 2 wrt k?\nAnswer: -42*k*x**2 - 254028*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8624, -14568, -20534, -26522, -32532, -38564?\nAnswer: -44618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58083, -116219, -174357, -232491, -290615, -348723, -406809, -464867?\nAnswer: -522891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12)\/((o\/(o*o*o**(-4)))\/o)*o*o**(-4\/5)\/o*o*o*o*o\/o**(-2\/5))**(-15) assuming o is positive.\nAnswer: o**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x**(4\/7)\/x)*x)\/x)\/(x\/(x*x**(-5\/2))))**(-6\/29)*(x\/(x**(1\/2)*x)*x**(1\/10)*x)\/(x**(-2\/7)\/(x*x\/(x*x\/x**2))) assuming x is positive.\nAnswer: x**(2944\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 3) + 8\/12. Suppose 5*f + 1 = 6. Which is bigger: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1, 0, 6377, 4\/9, -1 in decreasing order.\nAnswer: 6377, 1, 4\/9, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/2*4\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75160 is divided by 74573?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51499889 to the nearest integer?\nAnswer: 7176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 9*f - 16. Let v(j) = j**3 + 8*j**2 + 5*j + 16. Let r be v(f). Let l be 8\/r + 16\/(-6). What is the third biggest value in 3, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 14*b - 19 - 15*b)*(5*b**3 - 10*b**3 + 4*b**3).\nAnswer: b**4 + 29*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000024582 rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Suppose 5*v + 3 = p + 14, -5*p - 4*v + 32 = z. Solve r = -p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 110, 387, 930, 1829, 3174, 5055, 7562?\n\"Answer: 15*x**3 - 2*x**2 + 2*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*r + 9. Let s = -533 + 654. Suppose 0 = 5*x - 126 + s. Solve p = -0*i - r*i - 22, i = 3*p + x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:08 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 0*r**3 + 0 - 5\/2*r**4 + 5\/2*r**2.\nAnswer: -5*r**2*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 29*g**2 - 1526*g + 4301. What is b(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4607 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 498 = 4*v - 0*v, v + 309 = 3*a. Let y = -96 + a. Solve -4*j - 28 = -4*b, -b + y - 1 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57275056 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 93. Calculate c(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**5\/40 + 7*w**3\/6 + w**2. Let u(p) be the first derivative of v(p). Let q(l) = l. Calculate -9*q(f) - 4*u(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-6)\/(-28)*-1. Let r = -448.778 + 448.778. Which is the nearest to r? (a) -2\/3 (b) 0.1 (c) j (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (109 - (-10 - (-19 - -8)))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 5*v + 1, 5*x + v - 39 = 0. Suppose -2449994 = -5*f + 3*p, -x*p + 6 = -4*p. Round f to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74ab5b + 16?\nAnswer: 74ab75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, 245 in descending order.\nAnswer: 245, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Suppose j*u = -u + 12. Suppose -3*o - 4*k = -130, 2*o + u*k - 23 = 62. What is the highest common factor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 47. What is the greatest common factor of r and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5\/5 + 4*j**4\/5 - 12*j**3\/5 - 8*j**2 - 38*j\/5 - 12\/5.\nAnswer: 2*(j - 3)*(j + 1)**3*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:34 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 5*b**4\/2 - 2*b**3\/3 + 9*b**2\/2 + 5. Let j(l) = l**3 - l**2 + l. Let c(g) = 3*h(g) - 21*j(g). Let c(o) = 0. Calculate o.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 10:22 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 4 + o**2 + 2)*((5*o - 2*o - 2*o)*(4 - 4 - 5*o) - o**2 + 2*o**2 + o**2 + 1).\nAnswer: -3*o**4 + 7*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 78? (a) 0.06 (b) 0.5 (c) 0.027 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 261\/9 + (-232)\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42.6 + 50. Let l = 31.4 - d. Let t = -0.3 + -0.2. What is the third biggest value in t, 5, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 2*u - 17*u. Determine n so that 33*n**3 - u + 36*n**3 - 74*n**3 + 5*n - 35*n**2 + 46 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*t = -5, -n - 5*t - 27 = -2*n. Suppose 4*a - 13 = x - 3, a + 1 = 2*x. Calculate the remainder when a is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/5? (a) -4 (b) -488 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 558 and 2005452.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3840 divide 36514560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 40 = 5. Sort 0, 3, 1, b in descending order.\nAnswer: b, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 1. Let v(w) = -4*w. Let f(s) = 5*m(s) + v(s). Let r(y) = -98*y - 56. Let d(q) = 56*f(q) - 5*r(q). Let u(b) = 4*b**2. Calculate d(u(n)).\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 0 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 5*a**3)*(354 - 275*a + 369 - 720).\nAnswer: 1375*a**4 - 15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 300 + -237. Calculate the highest common factor of g and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1206 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -27?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 62*s**2 + 18*s - 483. List the prime factors of o(56).\nAnswer: 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 210 + 1?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358.3999 millilitres to litres.\nAnswer: 0.3583999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 17\/5. Suppose -d + 5 = 1. Suppose 4*f - 12 = -d*w, f - 12 = 5*w - 3*f. What is the closest to 0 in w, 2\/9, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*32.1552\nAnswer: 1.286208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = 3*s. Let k be (-16)\/s + (-3 - -5). Let y(f) = f**3 - 4*f**2 - 6*f + 7. Let v be y(5). Is k at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/9096666 and -109\/144228.\nAnswer: 127353324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14286092 + 731258\nAnswer: 15017350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 167, 326, 485, 644?\n\"Answer: 159*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64360, -64203, -64036, -63853, -63648, -63415, -63148?\nAnswer: -62841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 6:30 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4066 - 2420 - 2310)*(3*t - 17 + 6 + 9) in the form c + y*t and give c.\nAnswer: 1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**3 + 4*g**2 - 3*g + 4. Suppose 0 = l - 3*y - 6, 2*y + 10 = -l + 1. What are the prime factors of z(l)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15369, 16735, 19011, 22197, 26293?\n\"Answer: 455*a**2 + a + 14913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 13 = 1. Let l(v) = v + 1. Let p be l(g). Suppose 5*c - 5*y = 720, -c - p*y = 4*c - 720. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 35*c = 37*c - 23, 0 = -58*j - 17*j + 3*c - 237 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1408 divided by 44\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/12 and 37\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09 + -0.092. What is w rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = -1019 - 37. What is the remainder when 148 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/3 - 0\/1 - -119002. What is i rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 136\/(-102) + 98\/(-57)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.82 - 2.18. Put 0, x, -2, 1.8 in decreasing order.\nAnswer: 1.8, 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:02 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2 + 796*g + 158404 = 0. Calculate g.\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5783.6 + -5784. What is the nearest to 0.1 in 1\/5, 1.91, y, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2498*m + 2496*m + 1960 = 0. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2 + 9*n - 16. What is the tens digit of i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + 2*sqrt(425))**2.\nAnswer: 20*sqrt(17) + 1702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222099 and 587133.\nAnswer: 59300433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 4*d - 19 + 4, 18*h - 18 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651200.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**5\/6 - 35*l**4\/2 - 4855*l**3\/18 - 1435*l**2 - 2130*l + 7817. Solve k(v) = 0.\nAnswer: -71, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1927515.\nAnswer: 3, 5, 23, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h**2 + 1. Let c be z(4). Let f = -31 + c. Let r = -69 - -81. Calculate the least common multiple of r and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-322)\/(-49) - (4 - (-93)\/(-21)). Suppose 3*u - 60 = -f*g + 3*g, 5*g = 2*u + 52. Solve 15*l = 11*l + g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 49*a**5\/15 - 140*a**4\/3 + 800*a**3\/3 + 2*a**2 - 61*a. Determine w, given that o(w) = 0.\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70750 and 500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*w + 51*w + 1608 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 47.155. Let c = -0.045 - p. What is the smallest value in 3, -2\/11, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -143 - (21 + 4 + -94).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 14. Let c be m(8). Suppose c*p = -p + 28. What is the closest to -2 in 7, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1270\/(-115) + (-23)\/(-529)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2. Let s(p) = -10*p - 3 - 18*p + 9*p**2 + 28*p. What is m(s(b))?\nAnswer: -243*b**4 + 162*b**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -74. What is the highest common divisor of c and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0.3. Sort q, 3, 0.059, -0.3 in decreasing order.\nAnswer: 3, q, 0.059, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-2)\/4)*4. Suppose 37*v - 228 = -20*v. Suppose k*h + 5*m - 121 = 0, v*h + m - 3*m = 230. What is the remainder when h is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 39*d + 160. Let t(z) = z**2 + 39*z + 159. Let u(m) = -4*j(m) + 5*t(m). Let q be u(-35). Solve q = -l + 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 4. Let t = -4 - -6. Let d(y) = 1 + y + 0*y + t. Let i(f) = -4*d(f) + 3*s(f). Let h(l) = 2*l. Give h(i(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2 - 3)*3\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1089*x + 13980. Give b(-13).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16.2+-1\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 20 = -4*l. Let x = 4 + l. Let t(g) = -10*g + 12. Is t(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 2*h**2 + 6*h + 4. Let c be o(-4). Suppose -4*d + c*d - 72 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -165430*a + 20347886. Determine v(123).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbw when three letters picked without replacement from igiiimbwlibiii.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 6*s - 15*s in the form b + w*s and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20\/329 + -2155\/658. Calculate the common denominator of t and 39\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -45, -85, -141, -213, -301?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*i**2 - 48*i**2 + 0*i + 1 - i**3 + 2*i to n*i**2 + l + w*i + p*i**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813 = 5*g - 4*b - 295, -5*b + 687 = 3*g. Let x = -247 + g. Sort -2, -0.1, x.\nAnswer: x, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*u + 4*u - 3*u)*(u + 4*u - 3*u) + (-6*u + 3*u + 0*u)*(-2*u + 1 - 1).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8*(-14)\/(-1120)*6. What is the biggest value in 0.2, b, -4, -36?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38288267*b**2*j**2*w + 2*b**2*j*w - 100*b**2*w - 16*b**2 + b - 5*j**2*w - 2*j + 33*w + 3 wrt j?\nAnswer: -76576534*b**2*w - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 4*k**2 + 14*k - 11. Let s be q(6). Let a = -0.4 - -0.2. Let h = 0.23 + 0.07. What is the third smallest value in h, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (13 + 2 + -3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-9)\/6*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -12 - (25 + -16)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2 + -3 + sqrt(171))*-6)**2.\nAnswer: -18576 + 648*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.3 (b) 0.07 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5892 = 6*w - 6060. Calculate the highest common divisor of w and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(5) - (sqrt(50)\/sqrt(90))**2 - -4*sqrt(15)\/sqrt(3)) + 0) + (((sqrt(180)\/sqrt(6) - sqrt(30))*-2)\/((sqrt(84)\/sqrt(2))\/sqrt(7)))**2.\nAnswer: -15*sqrt(5) + 5\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 30*u - 56 + 49*u + 45*u - 69*u + 8.\nAnswer: -5*u - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*n + 47*n - 246 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, -4, -93 in descending order.\nAnswer: 189, -4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433053 is divided by 53?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-6)*(-651)\/(-2). Let g = -240 + -51. Let l = k + g. What is the highest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**5\/19 + 8462*i**4\/19 + 38026*i**3\/19 + 59126*i**2\/19 + 38002*i\/19 + 8444\/19 = 0. Calculate i.\nAnswer: -2111, -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g = -1675. Let z = -133 + g. List the prime factors of z.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(4\/5)*z)\/z*z**(-1\/5)\/z*z*z*(z**(3\/5))**(-10))**8)**(-24) assuming z is positive.\nAnswer: z**(4224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -115 - -112 - ((-2)\/(-6) - (-32383)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, -42, 0.1, -857?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 104 and 256293?\nAnswer: 256189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 85*l = 910. Solve -l*a - 18 = -8*a - 3*c, a + 4 = c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.3 + 6. Let x = i + 0.2. Which is the nearest to x? (a) 4 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 44. Let s = g - -47. Calculate the greatest common factor of 96 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 11*f - 35)*(-1 - 2 + 1).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55829 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43746 and 4899.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58290 - -124297. What is the greatest common factor of g and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2208 = 34*p - 8634. Suppose -p*z = -196*z + 14. Solve 1\/2*n**z + 3\/2 - 2*n = 0 for n.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603000 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -6. Let d be 32\/18 + q\/27. Solve -5*b + 4*r = 37, d*r = 3*b + 4*r + 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 843\/4496 - (-1)\/8. Let s = -0.4 - -0.4. Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*u**2 - 4 - 25*u**2 - 29*u**2 - 28*u**2 - 3*u in the form y + o*u + j*u**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 38*u\/7 + 184\/7.\nAnswer: -2*(u - 23)*(u + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 13\/((-91)\/28) - -12. Calculate the greatest common factor of 385 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n - 7. Let q be m(5). Suppose 5*u + q*y + 138 - 369 = 0, 4*y - 84 = -2*u. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**4\/8 - n**3\/3 - 2*n**2. Let r be z(-7). Let o(s) = 3*s + 19 - r. Let g(l) = -2*l. Determine g(o(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, b: 1}. What is prob of picking 1 b and 3 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n + 4*n + 4*n + (-4*n - 2*n + n)*(-15 + 9 - 8))*(7 - 2 - 3)*(n + n + 0*n) + (n + 4*n - 3*n)*(-2*n - 2 + 2).\nAnswer: 280*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3500, -7000, -10500, -14000, -17500?\nAnswer: -21000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.1438.\nAnswer: -0.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - (1 + 2))*(-2)\/(-3). Put -2, 0, d in descending order.\nAnswer: d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1539 - 1539. Let r = -262 - -263. Which is the nearest to q? (a) -1\/12 (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 4*n - 6. Let r be s(5). List the prime factors of -2 + r + 9 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2673 + 2672.999998663. Round b to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/(-21) - 4\/(-7). Let o(s) = s**2 + 8. Let g be o(h). Solve 5*d - g = -4, 16 = 3*t + d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-3\/23))\/l)\/l*l*l**(3\/5)*((l\/(l*l*l**(3\/4)))\/l*l)**(-2\/19))**(-3) assuming l is positive.\nAnswer: l**(-11991\/4370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*o**2 + 179*o**2 - 91*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 12. Let q be (-3 - -2)\/((-2)\/m). What is the units digit of (q\/6)\/(2\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 - -202. Suppose -y*c = -3*u - 25, 5*c = -5*u + 2*c + 15. Solve -2*n + 4 = -u*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 47069 from -23119.\nAnswer: -70188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -2\/3 (c) 0.1 (d) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**5 - 12*l**3 + 3476*l**2 + 11*l - 35232 wrt l.\nAnswer: -100*l**3 - 72*l + 6952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 11*l + 120. Let h be (-3)\/(-4)*(4 - (-64)\/l). Sort h, 2\/3, 4, -2\/9 in ascending order.\nAnswer: -2\/9, h, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27721, 53093, 78465, 103837, 129209, 154581?\nAnswer: 179953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(0*n + 2*n + 257 - 242) to the form c + t*n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*y = 44*y - 69 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 530280 - 431?\nAnswer: 528748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 437023 <= 437023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhaaaaaaaaaa. What is prob of sequence ah?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s**2 + 4*s - 1. Let o = 3 + -6. Let y be z(o). Suppose 0 = f - y + 2. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 206. Let q(j) = 13793*j. Give q(m(x)).\nAnswer: 27586*x + 2841358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(576))\/sqrt(8).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1764?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110110011000110011 (base 2) to base 9.\nAnswer: -3336130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2. Suppose 4*q - 5*q + 2 = 0. Let u(d) = -7 + 4*d**q + 3 + 4. Determine u(a(y)).\nAnswer: 100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 1. Let b be p(-4). Let f = b + 9\/2. Let y be 48\/20 + -2 - (-26)\/60. Sort f, y, -2 in ascending order.\nAnswer: -2, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/1 + 217 + 0. Let w = 22 + -16. Calculate the remainder when z\/22 + (-6)\/(-33) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i\/((i**(-2\/13)*i)\/i))*i*i**(-2\/7)*(i\/(i**(-5)\/i)*i)\/i**(4\/9)*(i**(5\/3)\/i**(-5))\/(i*i**(-4\/7)*i**6) assuming i is positive.\nAnswer: i**(7661\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 2227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**4 + 10 + 0*g**4 + 10*g**3 - 8 - 2*g**4 in the form x + d*g + k*g**3 + m*g**4 + h*g**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {t: 1, k: 2, v: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/60 - p**5\/20 + p**3\/2 + 2*p**2. Let t(g) = -2 + g**3 - 2 + 4*g**2 - 3*g**3. Let k = 3814 + -3817. Give k*t(j) - 4*l(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968*i - 265*i + 43860 = 1106*i + 585*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*n**2 + 293*a**3*n - 10*a**2*n**2 - a*n**2 - 6119*n**2 wrt a?\nAnswer: 6*a*n**2 + 1758*a*n - 20*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 852968359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {x: 3, w: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9895299457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 2, g: 1, n: 1, z: 1, q: 2}. Give prob of sequence gq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 70*p**2 + 36*p**2 - 5*p**2.\nAnswer: 101*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039171 to six dps.\nAnswer: 0.000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61961038?\nAnswer: 2, 151, 199, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 92 + 32 + -42?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4624 and 9568.\nAnswer: 2765152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1216 and 1064?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i. Suppose 0 = -g + 2*y + 6, 8*g + 2*y = 3*g - 6. Let n be u(g). Solve n*k - 8 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6 (base 15) to base 5.\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432191\/5 > 286437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2292460 or 66481376\/29?\nAnswer: 2292460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29803 - 9038 = 5*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lulu when four letters picked without replacement from {u: 2, l: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -5. Let b = 176\/9 + -20. Let n = 969\/7 + -139. Sort c, n, b.\nAnswer: n, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**3 - 2*a**2 + 2*a + 3. Let l be j(-1). Suppose -4*q - 1 = -l, -q + 7 = 3*y. Solve 0 = 3*f + 3*z - 6, -y*f + z = 3*f - 28 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -215783*h + 210981*h - 12*h**2 + 14*h**2 as b*h + w*h**2 + s and give b.\nAnswer: -4802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r - 40 = 61*r. Let j = 40 - r. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.88646 and -32?\nAnswer: -60.36672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 14316 = 772. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4897337233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-10) + (-2)\/(-30)*9. Put 1, 0, v, 4 in ascending order.\nAnswer: v, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in -2\/7, -7, 8\/13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*d - 16 = h, -5*h - 4*d = -12. Let q = h - -2. Solve -q = x + 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, x: 1, a: 4, g: 2, u: 5, w: 4}. Give prob of sequence xaa.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 17*q + 1196. Determine x(-44).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**3 - 8*f**3 - 13*f**3 + 6*f**3 - 4*f**3 + f**3 + (-5*f + 5*f - 2*f**2)*(f + 0 + 0) + (-3*f + 3*f + f)*(-3*f - 3*f**2 + 3*f).\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nddtqtxq. What is prob of picking 1 q and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 63, -2\/5, -46, -0.1.\nAnswer: -46, -2\/5, -0.1, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9) - (-690)\/18. Which is bigger: o or 38?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39544*z**2 + 4*z + 8*z - 4*z - 10*z - 39556*z**2.\nAnswer: -12*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 347792 and 6?\nAnswer: 1043376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 3*c - 2*c)*(25 - 10 + 22)*(92*c + 11*c**2 - 92*c) to the form n*c**3 + o*c**2 + m + p*c and give n.\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.405893 rounded to 2 dps?\nAnswer: 18.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**3*x - 22*m**2*x**2 - m*x - 156*x**2 wrt m.\nAnswer: -6*m**2*x - 44*m*x**2 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8854a3 + 67?\nAnswer: 88554a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 0*x**3 - 3\/2*x**2 + 1\/2*x**4 + 55*x - 45. What is the first derivative of v(z) wrt z?\nAnswer: 6*z**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 57 = k, -3*k - 2*k = 3*w - 163763 + 163724 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6701*a + 6713*a + 453 + 339 = 0 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3 - 9. Let c(u) = -1 + 0*u + 0 - u + j*u**2. What is the units digit of c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3 = -3*z, 4*z + 13*k + 24 = 17*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - d - 4*d**2 + 15*d**2. Let r be w(-1). Suppose s - 4 - r = 0. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 553\/385 - (-4 + (-308)\/(-35) + -5).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*i**2 + 2*i**3 - 355*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 16) to base 13.\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.483 and -4?\nAnswer: 4.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 2. Let p be r(-1). Suppose 2*u - p*h - 42 = 0, -u - 2 = -2*h - 24. Calculate the smallest common multiple of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i*i**7)**(1\/5)*(((i**3*i)\/i)\/(i**(-5)\/i))\/(((i\/(i*i*i*i\/i**3*i*i)*i)\/i)\/(i**(-2)\/i*i)) assuming i is positive.\nAnswer: i**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, k: 2, l: 1, e: 2, t: 4, z: 2}. Give prob of sequence esls.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167\/26 + 90\/13. Factor -x**4 - a*x + x**2 + 1\/2*x**5 + 0*x**3 + 0.\nAnswer: x*(x - 1)**3*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*h**2 - h**2 - 51*h**3 + 8 + 7 + 2*h**2 to the form d + s*h + a*h**2 + w*h**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 4. Let w be d(-2). Let i(h) = -h**2 - 6*h - 7. Calculate i(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176477.\nAnswer: 7, 17, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(5\/6)*i*i*i*i\/(i*i\/((i*i*i**20)\/i))*i*i**14*i**(-32)\/i assuming i is positive.\nAnswer: i**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 + (-2 - -8) + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*h**3 + 63*h**3 + 60*h**3 - 331*h**3 + 66*h**3 + 63*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296505, -296527, -296549, -296571, -296593, -296615?\nAnswer: -296637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(sqrt(612) + 1)*3 - (4 + 2*sqrt(612) + 2 + -3))**2.\nAnswer: 1320*sqrt(17) + 74152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u + 2. Let s be d(-2). Put 4, s, 2 in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128249039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1164997 - 4762507623\/4088. What is the common denominator of -117\/5840 and u?\nAnswer: 40880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d - 20. Let v(j) = j**3 - 2*j. Let a be v(-2). Let h = -4 - a. Solve h = -0*k + d*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32509.337 - 256200.067. Let t = s - -223708.72999944. Let h = -18 + t. What is h rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 > 59802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -0*m - 2*m - 48 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*t**3 + 111*t**3 - 53*t**3 - 79*t**3 - 134*t**3.\nAnswer: -432*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 234 = -4*c, 0 = 4*c + 155*k - 154*k - 243. Calculate the lowest common multiple of c and 744.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 8:02 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s. Suppose -2*k = -228 + 172. Let h(n) = k*n - 40*n + 31*n + 14*n. What is c(h(u))?\nAnswer: -99*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -49\/3756310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w = 35*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**(-1\/12)\/f)\/f*f)*f*f*f**12)\/((f\/((f*f**(-3))\/f))\/f*f**16) assuming f is positive.\nAnswer: f**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + g + 2. Suppose 0 = -2*w - 0*w + 4, w = -5*a + 32. What is the remainder when 16\/(-24) + 250\/a is divided by s(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34 + 12 - r**2 + 6 - 24*r + 10*r**3 - 4*r**3 - r**4.\nAnswer: -(r - 4)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2. Let v(i) be the first derivative of i**5\/60 + 2*i**3\/3 - 1. Let m(f) be the third derivative of v(f). Give m(w(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -3*z**4\/4 - 21*z. Let w(p) = 8*p**2. Give y(w(d)).\nAnswer: -576*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*d**3 + 13*d**2 + 4*d - 92*d**3 - 2 - 12*d**2 + 192*d**3 to the form b*d**3 + j*d + f*d**2 + r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 14. Let k be g(-13). Let i be (-424)\/12 - k\/(-3). Let d = i - -57. What is the remainder when 41 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1036 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2350150, -2350047, -2349944, -2349841, -2349738, -2349635?\n\"Answer: 103*u - 2350253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -406526 - -3?\nAnswer: -406523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/1163 + 22855\/411702. Calculate the common denominator of 103\/2124 and w.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 + -1)\/((-5)\/30). Let q = c + 68. Suppose -2*d = 3*p + 2*d - 23, -q = -4*p - 5*d. What is the highest common factor of p and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 285\/211?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 + 3*o + 748. Let d be -1 + 3\/(2 + 1). What is the hundreds digit of y(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2355468 and 44.\nAnswer: 25910148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 - a?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-45) - 115\/(-9). Let k = 78 - j. Calculate the highest common divisor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Put c, -4, -3 in increasing order.\nAnswer: -4, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1448 and 301704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-455)\/1785*9*(-24)\/1404\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 - 10*z**2 + 7*z**2 + 16*z**3.\nAnswer: -5*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, 404, -162\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -10, -6, -1, -93 in ascending order.\nAnswer: -93, -10, -6, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 2. Let p = g - 8. Let k = -2.9 + 3. Sort k, -3, p in descending order.\nAnswer: k, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778807?\nAnswer: 337, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - d = -5*k + 6, 5*k + 5*d - 30 = 0. Suppose k*j = -3*r + 22, j = -3*r + 6*r - 7. Let n = -0.2 - -0.1. Is n > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 5 (c) 245 (d) -136490 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12879 = 5*n - 3*l + 6522, 0 = l - 2. Let s = 2369 + n. What is s rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 12*g + 3*r + 2624860, 4*r = g - 524955. Suppose 0 = -l + 2*l + b + 174995, 3*l + 5*b + g = 0. What is l rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)\/t**(3\/4)*(t\/(t\/t**(2\/21)))\/(t**9\/t) assuming t is positive.\nAnswer: t**(-755\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -1.385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**27*w)\/(((w\/w**(-27))\/w)\/w) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*c - 3. Let r be ((-9)\/6)\/((-20)\/8 + c). What is the biggest value in -5, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77787.09 years in millennia?\nAnswer: 77.78709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhwhhhhhw. What is prob of picking 1 w and 1 y?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/2 - 25*t**4\/2 + 27*t**3\/2 + 25*t**2\/2 - 13*t = 0?\nAnswer: -26, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o**2 - 7*o - 1. Let v be w(-6). Solve 0 = -3*p - 2*p + v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*v**2 - 11*v**2 + 293*v**2 + 215*v**3 - 128*v**3 + 164*v**3 wrt v.\nAnswer: 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 22*b = -28 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38782007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 3. Which is bigger: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6256009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(6\/3 - 0). Which is smaller: h or 2\/97?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w = 4*w + 78 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22088343 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1300) - ((sqrt(1300) + 0)**2*1 + sqrt(1300)) - (sqrt(1300)*2*-6)**2 - -5*(-2*sqrt(1300)*1)**2).\nAnswer: -162504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 1\/6*f**3 - 6 + 0*f**2 + 3*f. Let x(o) be the first derivative of j(o). Determine x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-25 - 19) - -42?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352622848 and 1024.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**4\/8 - i**3\/6 + 2*i**2. Let d be (-10 - (1 - 6))*(0 - -1). Let o be 0\/(-1) + (d + 3 - -4). What is c(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12127, -6 in decreasing order.\nAnswer: 12127, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776082 is divided by 20423.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 2912948803?\nAnswer: 2912948803.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 54, 4, -21, -2.\nAnswer: -21, -5, -4, -2, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*r = 90, -4*n = -6*n - 5*r + 22. Suppose 4 = k + k. Suppose 6*u = k*u + n. Calculate the lowest common multiple of u and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (19 + -29 - 440\/(-25)). Which is the fifth smallest value? (a) 5 (b) -0.5 (c) -3 (d) i (e) -114.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-6)*496\/(-930))\/(68\/18)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1638)\/(-130))\/((2\/(-60))\/((-2)\/(-54)*-3))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 - 21*b**2 + 19*b - 132. Determine v(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29701319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16 at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 7264*c**2 - 11820*c**2 + 3*c + 19084*c**2 - 14*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56840782?\nAnswer: 2, 1693, 16787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549040 is divided by 179256.\nAnswer: 11272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 7*m**3 - 8*m**3.\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + 15\/(-50) + 13 + 6705\/(-150)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)*z**(-10))**(-4\/5)*(z**2*z)**18\/(z*z**(-7)*z**(-2\/5)\/z) assuming z is positive.\nAnswer: z**(379\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 18. Let l = -24.22 + f. Let h = l + 0.42. Sort h, -2\/19, -0.5, 2 in descending order.\nAnswer: 2, h, -2\/19, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*x**3 - 343*x**2 - 62*x.\nAnswer: -x*(x + 31)*(11*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/((-34)\/148) - (-262)\/2227\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 502566813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16646)\/1066 - (-14)\/(126\/135)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -82*m**3 + 2*m**2 + m. Let q be 30\/8 - (-5)\/20. Suppose -4*n + 3 = -3*p, p + 3*n - 3 = q*p. Is l(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d6104 (base 14) in base 6?\nAnswer: 15021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:28 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-28)\/(-2940)*-1356) + 5\/(-7)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 + -8447?\nAnswer: -8408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110549236 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/420604515 or 1?\nAnswer: 4\/420604515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.34 and -247.68863338.\nAnswer: -247.34863338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19754, -79067, -177934, -316355, -494330?\n\"Answer: -19777*v**2 + 18*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 6. Let i be d(7). Let t = i + -2. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by -39347?\nAnswer: -96\/39347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*o + 10485, -r + 3*r + 4*o = 4218. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) 1\/4 (c) 12.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 257, 510, 755, 992, 1221?\n\"Answer: -4*q**2 + 265*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1571, 1681, 1861, 2105, 2407, 2761?\n\"Answer: -g**3 + 41*g**2 - 6*g + 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1305720 and 10540?\nAnswer: 22197240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.75 - -0.35. Which is the closest to -2? (a) -0.3 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-3\/5)\/c)\/c*c**(1\/4)*(c**(-3\/5)*c)\/(c\/((c**(3\/2)\/c)\/c)))**(-47) assuming c is positive.\nAnswer: c**(2303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138091.\nAnswer: 17, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 7. Let x(k) = k - 6. Let m(p) = -6*x(p) + 5*y(p). Let l be m(-2). Suppose -66 = -l*j + j. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*b - 2155283 = 0, 4*d - 4*b - 718417 = 3*d. Let c = d - 1778425. Round c to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -669 - -672. Sort -0.2, k, 0.1, -17 in increasing order.\nAnswer: -17, -0.2, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, y: 4, z: 1, d: 10}. Give prob of sequence yrz.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -10*k + 2*k - k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 4065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33598*o + 33598*o + 1174*o**2.\nAnswer: 1174*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + (-11 - 1) - -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) -0.5 (b) -5\/3 (c) -11 (d) -5 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 1)*(15*b + 92*b + 261*b) to o*b + w and give o.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 276905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 + -167. Let y = 541 - l. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v = 5*y - 114, -17*v + 29*v - 15*v = 3*y - 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5158100 and 1975.\nAnswer: 407489900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmv when three letters picked without replacement from mvjvjvmmmjmjmmmv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*q*x**3 - 2*q*x + 1187*x**3 + 5660*x wrt x?\nAnswer: 66*q*x + 7122*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*((sqrt(6)\/sqrt(2))**2 + sqrt(3)).\nAnswer: 16*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**5\/20 - n**4\/8 + n**3\/2 + 4*n**2. Let g(y) = y**3 + 5*y**2 + 5*y - 5. Determine 5*a(q) + 3*g(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -2\/129, 0.02, 4?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*(9 - 1032\/112). Let g(u) be the second derivative of v*u**3 - 6*u + 0 + 0*u**2. Let m(h) = h**2. Give g(m(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:50 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016094 to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c + 2*c + 4*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 139 + 139 - 14*d**3 + (d**2 - 1 + 1)*(1 - d - 1).\nAnswer: -15*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Suppose 3*w - 48 = -5*d, c*w + 16 = -w. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1392395?\nAnswer: 5, 278479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1469046501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1729 or -1392?\nAnswer: -1729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 11:43 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 16978*k + 16636*k.\nAnswer: -342*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 - 5*z**2\/4 + 7*z\/2.\nAnswer: -z*(z - 2)*(z + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38301 is divided by 191?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (323 - 360) + 3 + 28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 25 = 4*j - 8*j, 0 = -4*d + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 = -10. Solve 5*p + 4 = -3*k - 11, j*k - p = -15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 4\/((-8)\/(-2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1296 - 1296 - 4*d + 5*d - 6*d**3 as x*d**3 + s*d**2 + m*d + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(4\/5)*v))\/v*v)**(-49)*v\/(v\/v**(-9)*v)*v*(((v\/v**(-11\/3))\/v*v)\/v)\/v*v*v assuming v is positive.\nAnswer: v**(1258\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f + 5. Suppose -a - a - 6 = 0, 0 = 4*z + a + 35. Let p(t) = 7*t + 3. Suppose -4*d + 19 = 8*i - 7*i, 0 = -3*d + 3*i + 18. Give d*n(j) + z*p(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256667539.\nAnswer: 256667539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 + 20*m + 20. Let y be s(6). Let l be (-49)\/3 + 2\/(-3). Put l, 1, y in descending order.\nAnswer: 1, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 87 = -51*k + 97. Let l(g) be the first derivative of -28 + 0*g - 7\/3*g**3 - g**k. What is the second derivative of l(x) wrt x?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 10:29 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -151*h**3*i**2 + 464*h**3 + 16*h**2*i**2 - 26*h + 76*i + 3 wrt i?\nAnswer: -302*h**3*i + 32*h**2*i + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 7242660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11. Let y = 0.7 + -0.3. What is the nearest to r in -0.1, 2, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 2*i - 2. Let h(w) = -13*w**2 - 88*w - 30. Let q(n) = 18*f(n) - 2*h(n). Solve q(y) = 0.\nAnswer: -3, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 - 811 = -5*z. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/30 - 13*k**4\/24 - 35*k**3\/3 + k**2 + 26. Differentiate t(i) wrt i.\nAnswer: 12*i**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - 9*c - 2. Let o(h) = 2*h - 349. Give s(o(j)).\nAnswer: 20*j**2 - 6998*j + 612144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 76?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q - 2*q + 7*q)*(-3*q - 6*q + 4*q) + (-5*q**2 + q**2 + 2*q**2)*(129 + 48 + 16) as h*q + j*q**2 + u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*p - 11276, 2*z + 4*p + 0*p = 5630. Let a = z + -1280. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*a - 5*a + a, 4*a + 5*n - 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.707830284 to three decimal places.\nAnswer: -1.708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3486\/8715)\/(4\/(-12) - (-38)\/60). Let r be (2\/(-4))\/(10\/(-8)). Which is the closest to 1? (a) y (b) -1\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9409.06 + -9494. Let f = 166 + -80. Let w = j + f. What is w rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 0 (c) 0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 27, -0.3, 3.1.\nAnswer: -0.3, -2\/21, 3.1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6 = k, -k + 0 = -2*g - 8. What is the closest to g in -0.1, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -1, 2, 5, 32123 in decreasing order.\nAnswer: 32123, 5, 4, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 2. Let w be t(2). Let k be (16\/6)\/(11\/(-33)). Let a be 0 - k\/(-2) - -9. Solve -w*u - a = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*4\/(16\/4). Let j be (1 - 16)\/(t\/6). Let c = -32 + j. Are c and -14\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19806010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.8, -18, -0.2, -0.4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuzujeubzezzzuoee. Give prob of picking 3 e and 1 o.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-609))\/((-60)\/1740).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 1 + 1)*(2*l + 16*l - 72*l)*(-4*l + 3*l + 2*l)*(0 + 0 + l**2 + (2*l - 3*l + 0*l)*(-10*l - 33 + 33) - 2*l**2 + 4*l - 4*l).\nAnswer: -972*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -61*h - 23. Determine f(2).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, -29, -0.061, -201 in increasing order.\nAnswer: -201, -29, -2, -0.061, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43814.\nAnswer: 2, 19, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27126208141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 - 1?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -811, -610, -301, 170, 857, 1814, 3095?\n\"Answer: 9*s**3 + 138*s - 958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrryrrwrryywwryyy. Give prob of sequence rrw.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*k - 574*k - 561*k**3 + 370*k - 988*k wrt k.\nAnswer: -3366*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 6, d: 2, r: 2}. What is prob of sequence nn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 2553, 9326, 22529, 44298, 76769, 122078, 182361?\nAnswer: 259754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 7:00 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35a437 (base 12) in base 16?\nAnswer: d3eeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9299 is divided by 79.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -655, -650, -631, -592, -527, -430?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/50*(-10)\/(-6)*-6. Let g be b - (-1 + (-3)\/((-6)\/(-298))). Let q = -37 - -58. Calculate the highest common factor of q and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107 and 1177.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*v, 3*p - 5*v = -71 + 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 + 24*q + 8. Let x = 199 + -207. Let r be y(x). Let u(n) = n**2 - 8*n + 8. Determine u(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-2)*-2*-5. Suppose 0*c + c - v = 0. Suppose 3*g = z - c, 2*g = -4*z + 3*z. Solve -2*s - z = -0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Let q be 104\/18 - 4\/(-18). Let s be h(q). Let n be 4\/10 + 18\/s. Sort 1, 3, n in increasing order.\nAnswer: 1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n = -2090 + 2666 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*r + 3 = 3*k - 435*r, -9*k = r + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1310, 1315, 1328, 1355, 1402, 1475, 1580, 1723?\nAnswer: 1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-30))\/((-2)\/1176). Let p = 1457 - u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 1)*(6*l - 4*l - 4*l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2*i = 2*f - 6, 0 = 2*f + 2*i - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 25*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 385838*u**2. Let n(w) = 4*w**2. Determine d(n(p)).\nAnswer: 6173408*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 2. Let s(x) = -6*x + 84. Let l be s(13). Suppose l - 16 = -2*b, -3*j + 44 = b. Give c(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579056?\nAnswer: 2, 36191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 h when three letters picked without replacement from hxhxhxhhxh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(sqrt(1088) + 1).\nAnswer: 1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (3 - 12\/(-3)) - 14. Put -1, -5, w in decreasing order.\nAnswer: -1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 248, 226, 186, 122?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmddmmmh. What is prob of sequence hd?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -760 divided by -38?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.489162ml to litres.\nAnswer: 0.001489162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -858 (b) 5 (c) 0.3 (d) -13 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115047\/67 + 1717. Do u and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14272 is divided by 3568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = 8. Suppose r*f = -f + 10. Let h be 2*(-2)\/((-4)\/f). Solve h*s - 26 = -3*m - m, -5*s + 33 = 2*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*u - 75*u - 80*u + 315*u - 72*u - 141*u.\nAnswer: -119*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47353586 is divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(396) - (sqrt(396) + (sqrt(396) + sqrt(396) + -2 - sqrt(396)))))**2.\nAnswer: -72000 + 4320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**2 - 729940*s - 22624296 = 0?\nAnswer: -182454, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -253*c**3*g**2*r**3 - 154097*c**3*g**2 - 2*c**2*g**2*r**2 + 1693*c**2*g**2 - 2*c**2*r**3 - 2*c*g**2*r**2 + 469*c*g*r wrt c.\nAnswer: -1518*g**2*r**3 - 924582*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 1:26 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 - 359 - 184 = -27*t for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 724 and 3439.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*102\/85\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 24. Suppose m*j - 9 = 87. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbb. What is prob of sequence zb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 47. Let x be 2\/i + (-11)\/((-66)\/360). Let r = x - 43. Solve -3*l - 15 = 5*z, -z - r = 3*l - 2*z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + -4 + (37 - 36) + 6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q. Let z(c) = -8*c. Let l(v) = 2*v. Let j(m) = -4*l(m) - 2*z(m). Let g = 13 - 8. Give g*w(a) - 2*j(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1237 - -1232. Let m(c) be the first derivative of -c**3\/3 - 7*c**2\/2 - 4*c + 1. What is m(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 14*l + 31. Let x be n(17). Suppose -2*i - 5*y = -i - x, -391 = -4*i + y. What are the prime factors of i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 1, s: 1, q: 1, d: 1}. Give prob of picking 1 y and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 2*n + 2, 2*n - 2 = t + 4*t. Let f(d) = 38 - 3*d + 4*d - 26. Let s be f(t). Solve -4*i - 5*y = s, 5*y + 12 = -i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21577309083 and 5.\nAnswer: -21577309078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588 a factor of 109868991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46*8.727.\nAnswer: -401.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -994 + 1690. Does 46 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196 - 76 + 4*v**3 + 1 - 40*v**2 - 44*v**2 + 155 - 196*v.\nAnswer: 4*(v - 23)*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1101 + -285. Let i = -815.999999161 + v. What is i rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -113, -104, -81, -38?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3171 and 4983?\nAnswer: 34881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 3*v**2 + 3*v - 1. Let s be i(-4). Suppose -6*m + s*m = -36. List the prime factors of 3\/2 + 6\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 22 = s, -46*f + 8 = -26*f - 24*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70*o**2 - 63 + 11*o**3 + 34*o**2 + 227 + 250*o - 9*o**3 - 16*o**2.\nAnswer: 2*(o + 1)*(o + 2)*(o + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, k: 4, t: 8}. Give prob of picking 3 t and 1 q.\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -24. Suppose 1 + 0 = -c + b*a, -2*a = -c + 1. Let v be 9*c\/(-3)*12\/(-30). Solve -o + 3*q - 2 = 8, -o + v = 5*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:52 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 * 0.6\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*t, 3*q + 3*t = 82 - 67 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.379 + 2.179. Which is the nearest to 3? (a) d (b) -115 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5 - 20*d**4 - 24*d**3 + 68*d**2 + 26*d - 48 = 0.\nAnswer: -8, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1*-12 + 159\/(-53).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + (-3776)\/14. List the prime factors of (-12)\/s*-5 - 5132\/(-9).\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 - -105. Is 4\/(-10) - (-3957)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5.4 (b) -3\/7 (c) -0.31 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/((-1296)\/(-9198)))\/(22 - (-972)\/(-48)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 1 (b) -2 (c) 0.06 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n, 0 = 2*u - n - n. Put 1\/4, 18, u, 0 in ascending order.\nAnswer: 0, 1\/4, u, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -439*b**2*q - 116*b**2 + q**4 wrt q.\nAnswer: -439*b**2 + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -12. Solve 0 + f = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/4))**10)**(-6\/17)\/(j**3\/(j**(-1\/5)*j))**(-17) assuming j is positive.\nAnswer: j**(2954\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*k*l**3 - 36*k - l**3 + 1 wrt l?\nAnswer: -33*k*l**2 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + (-152)\/(-56). Suppose -2*a = -4*l - 96, 0 = d*a - 3*l + l - 152. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 4*m + 7*m)*(1 - 2 + 0 + (0 + 1 + 1)*(1 + 4 - 4)) + m - m + 2*m - 5*m + 3*m + 3*m + (0*m - 3*m + m)*(-3 + 3 + 1).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 266196*y - 264841632.\nAnswer: 3*(y - 984)*(y + 89716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 - -100000100000000100011?\nAnswer: 100000100000000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23ca44 - 0?\nAnswer: 23ca44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 963926519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -129628 divided by -4?\nAnswer: 32407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63279 - 63316.281. Let x = f + 37. Round x to 2 dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g + 7*g - 78 = 0. Find the first derivative of g*t**4 + 271 - 96 - 12*t**2 + 3*t**2 wrt t.\nAnswer: 8*t**3 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 512148 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5747708*0.4.\nAnswer: 2299083.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 4, o: 4, z: 1, k: 3, d: 1}. What is prob of sequence cqd?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -34. Let j(t) = -t**3 + 13*t**2 - 18*t - 36. Let l = 791 + -780. Let c be j(l). Calculate the greatest common factor of w and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -159*f**2 + 2848*f - 12769. Give l(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1170823027 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2132*m - 25901 = 29531 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/57 less than 7.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - d**2 - d**2)*(-2*d + 9*d - 4*d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/1482*-13*-1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*c + 12*c + 4*f, 0 = 2*c - 4*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {m: 1, c: 10, a: 2, d: 4, v: 1}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/6 + 2\/(-4). Let i be ((-16)\/4)\/(c*1). Solve -5*g + 4*g = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - 2*l**4 + 0*l**2 + 0*l - 4*l + 3*l**4 to the form p*l**4 + f + z*l**3 + n*l**2 + w*l and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {z: 1, a: 1, x: 1, i: 1, l: 2, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7 - 4*i + 3*i + 0. Let d(w) = w + 28. Let x be d(-22). Give y(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**3 + 105644*r**2 + 23513728*r + 1313958912 = 0.\nAnswer: -26187, -112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 2\/37, 2\/11, 5?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-39)*15*(-8)\/(-660).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23980 + 24963.3. Let r = f + -983.299994803. Round r to 7 dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507083.5kg in grams?\nAnswer: 507083500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 84 + (-43 + 43 + 11 - -1)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2 = -28. Let n = 9 + -6. Calculate the lowest common multiple of (-20)\/(-2) + m\/n and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 808*n - 26. Let z(r) = -1616*r + 43. What is -5*q(b) - 3*z(b)?\nAnswer: 808*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 3\/7, 5, 11\/4, -5, -260, 32?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksl when three letters picked without replacement from {l: 4, j: 1, k: 3, s: 3, v: 2, t: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 11. Suppose 2*w - 6*f + 2*f = -12, g*w = -3*f + 2. Let z be 8 + (-2 + 8)\/w. Solve 1 + z = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 45089*u + 1352734. Determine y(-30).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -301474769881 and 36.\nAnswer: -301474769845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15612*o - 62457. What is c(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.9 and -75.527.\nAnswer: -143.5013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2d6 (base 14) to base 6\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14265753 to the nearest integer?\nAnswer: 3777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/27*-3*9. Suppose -4*a = 4*y - a - 122, 2*y - 70 = s*a. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80\/60*3*(380 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273342689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1389732 and 1389732 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 93 = 20*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -75, -13, -9, -5, 5 in ascending order.\nAnswer: -75, -19, -13, -9, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + 3*g**2 + 5*g + 9. Let o be s(-2). Sort o, 13, 2, 1 in decreasing order.\nAnswer: 13, 2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7740 = -10*q - 1680. Let k = q + 1540. Is 46 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/10)\/((-3)\/(-40)). Let x = f + -23. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1881 - 10487 - 23106*d**2 + 7738*d**2 wrt d.\nAnswer: -30736*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104 in -1, -7.17, -143?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 450 = -0*u. Let s = 70 + u. What is the units digit of s\/(-14) + 14\/49?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j. Let t(s) be the third derivative of 77*s**4\/24 + 7*s**3\/6 - 6*s**2 - 166*s. Give t(x(y)).\nAnswer: -308*y + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-8 + 0)) + -1 - (-6856 + 6896)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -381 + 381.000368. What is h rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5)\/1*294\/(-294)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45880.3l in millilitres?\nAnswer: 45880300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b2 - 0?\nAnswer: -3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 218\nAnswer: 217.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = -71*l + 1530. Which is smaller: 225\/14 or l?\nAnswer: 225\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 8817*b - 88470.\nAnswer: 3*(b - 10)*(b + 2949)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-2 - 9) + (-10 - -16) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 257655, 1034412, 2329007, 4141440, 6471711?\n\"Answer: 258919*q**2 - 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 59. Let b be (4\/(-8))\/((-2)\/o). Let z = b + 14. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -21*a**2 + 24*a + 142. Determine w(-3).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 29*v - 2. Let h(z) = 29*z - 2. Let w(o) = -5*c(o) + 4*h(o). Let k be w(-1). Suppose -k = -3*m + 53. 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 the hundred thousands digit of 25321388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10095cb (base 14) to base 7.\nAnswer: 121135244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*b**2 - 85*b = 0. What is b?\nAnswer: 0, 17\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516771312.\nAnswer: 2, 3, 1223, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*f. Suppose f*g + 12 = 2*g. Let i be (-2)\/(-8) - 3\/g. Sort i, -2, -0.3 in descending order.\nAnswer: i, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 828\/115*10\/(-66)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30\/5419 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f**4 - 4\/9*f**3 + 2\/9*f + 0*f**2 + 2\/9*f**5 + 0.\nAnswer: 2*f*(f - 1)**2*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-40) + (-16)\/20*1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192244002.\nAnswer: 2, 3, 71, 451277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11772*r**2 - 77*r. Let j(l) = -7849*l**2 - 55*l. Determine -5*h(n) + 7*j(n).\nAnswer: 3917*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -165, -166, -167, -168, -169, -170?\n\"Answer: -m - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36256*f**4 - 2*f**3 + 811*f**2 - f + 9.\nAnswer: -870144*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 9*w**2 - w + 3. Let l be i(-9). Let f be 7\/l + (-1)\/4. Is -1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-70) - 3\/21. Let k be (2\/3)\/((-2)\/(-3)). Suppose p + k = -0*p. Which is the nearest to 1? (a) -1\/8 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 10:54 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4335 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and -814 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -75986.797 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*q - 459 = 0, 2*q - 128 = -z + 6*q. Let r be z\/8 - 1\/2. Does 19 divide 1*79 - (r + -17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s - 12 = -3*m, -3*s = 12. Solve 2*p = -m*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and -113\/153732?\nAnswer: 307464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85.97 + 89. Let d = -0.03 + m. What is the second biggest value in 2, d, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4382)\/(-5) - 22\/55. Suppose -5*c + s - 295 = -2*p, 4*c - 470 = -p. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + -2*(((sqrt(300)*2 + sqrt(300) - sqrt(300)) + sqrt(300) - sqrt(300)) + 2 + sqrt(300)))*-4)**2.\nAnswer: 53760*sqrt(3) + 694336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21703 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5364*x - 337925. Give c(63).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*i + 1126 + 1024, 5*i = 2*g - 5404. Calculate the remainder when (-6)\/33 + i\/(-11) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 653230786*k*x**2 + 163675750*k*x wrt x.\nAnswer: 1306461572*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -b + 6. Let m = -49 + b. What is the units digit of 3 - (m\/(-10) - (-1516)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2140390 + -16891390. Round j to the nearest 100000.\nAnswer: -14800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2010385, 4020741, 6031097, 8041453, 10051809, 12062165?\nAnswer: 14072521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 1 = 2*j + 9, -5*j - 3*m = 6. Sort j, -4, 26 in descending order.\nAnswer: 26, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773\/(-3)*(-23 + 20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 11189906.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1228, 1251, 1290, 1345?\n\"Answer: 8*v**2 - v + 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.38.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let v(q) = -549*q**2 - 198*q - 99. Let d(j) = 22*j**2 + 8*j + 4. Let h(x) = -99*d(x) - 4*v(x). Determine h(n(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180420 is divided by 4009?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a*a**1*a))**(-27)*(a*a*(a*a\/a**(-1))\/a)**(-10) assuming a is positive.\nAnswer: a**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46706 is divided by 6656?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -14*i + 50. Let b be v(-7). Let r = -145 + b. Suppose -r*x = 9*x + 4*x. Solve 4*h + 8 = -4*o, x = 4*o - 7*o - 4*h - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42405 and 596240?\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 39\/14*d**2 - 54 + 36\/7*d + 1\/7*d**3. Factor k(j).\nAnswer: 3*(j + 1)*(j + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2655 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 divided by -3?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - -4. Suppose -s + 3 = -4*o. Suppose 10 = -4*m - 6, o*m + 22 = 3*r. Solve -1 - 1 = -r*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54404396.88 rounded to the nearest one million?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 40?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 14) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2103 is divided by 583.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540078?\nAnswer: 2, 3, 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - c**2 - 3*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 5. What is i(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9288955.75 - -191?\nAnswer: -9288764.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 387995392 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 20.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142840 + 599*q - 6344*q**4 - 142838 + 285672 wrt q?\nAnswer: -76128*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -138.16736 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) 2\/5 (b) -5 (c) -4 (d) 1 (e) 145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216347220 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u - 3040 = -44*u. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 7:45 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**2 + a. Let r(g) = g - 11. Let p be r(12). What is h(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -59*f + 2935. What is a(43)?\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5*i - 990 - 2750, -12 = 4*i. Suppose -2*b - 4*j + 0*j = -482, -3*b + 5*j + o = 0. Suppose -3*r - 50 = -b. What are the prime factors of r?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18874517 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b)**(17\/5)*b**2*b*(b*b*b\/b**(2\/27)*b)\/b*b assuming b is positive.\nAnswer: b**(476\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 26. Let n = 23 - j. Let m(w) = 7*w + 1. Give m(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbxbbbbxvb. What is prob of picking 1 x and 1 b?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2276, 11, -4 in increasing order.\nAnswer: -2276, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -2*g - 46, -2*g - 439*u = -441*u + 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbrr when four letters picked without replacement from rrbrbrrrrrr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1344\/(-20))\/(-3) - (-4)\/(-10). Let z be p + -5 + 1 + 6. List the prime factors of 8\/z + 0 + (-722)\/(-3).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125860723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.5 and 48868.\nAnswer: 48870.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 43*y**3 - 2*y**2 + 2*y. Let o(b) = 47*b**3 - 3*b**2 + 2*b. Give -6*d(x) + 5*o(x).\nAnswer: -23*x**3 - 3*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11\/q*q**(-27) assuming q is positive.\nAnswer: q**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 8*y**2 + 10*y + 9. Let l be m(-7). Let n = l + 14. Suppose -z - a = 3*z - 23, 2*z = n*a + 4. Sort -2, -5, z in ascending order.\nAnswer: -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 390 + 552 = 0. Solve -33*m + a = -42*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5825595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4\/5, -0.08, -2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26158 - 23079. Which is smaller: v or 3080?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -5, -1 in increasing order.\nAnswer: -5, -1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 3, a: 1}. Give prob of picking 1 a and 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70 or -6321?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1048068997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 0)*1 + (sqrt(153)*2)**2*4.\nAnswer: 3*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}